Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.
Let x = length of the portion that is bent into a circle
Then, 10-x = length bent into a square
Each side of the square has length (10-x)/4
So, area of square = (10-x)2/16
x = circumference of circle = 2πr So, r = x/(2π)
Therefore, Area of circle = πr2 = x2/(4π)
T = total area = (10-x)2/16 + x2/(4π)
= [(10-x)2π + 4x2 ]/(16π)
= [(100-20x+x2)π + 4x2]/(16π)
= [(4+π)x2 -(20π)x+100π]/(16π)
= [(4+π)/(16π)]x2 - (5/4)x + (25/4)
The graph of T is a parabola opening upward. The minimum of T occurs at the vertex of the parabola.
The x coordinate of the parabola is (5/4)/[(4+π)/(8π)] = (10π)/(4+π) ≈ 4.4
Thus, Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.
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Math work………………………………………………………………………………………………………..
The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The points are given below.
(3, 19) and (9, 25)
The equation of the line that passes through (3, 19) and (9, 25) will be given as,
(y - 25) = [(25 - 19) / (9 - 3)](x - 9)
y - 25 = (6/6)(x - 9)
y - 25 = x - 9
y = x - 9 + 25
y = x + 16
The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.
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can someone answer this q for my mock rev xx
Answer:
Step-by-step explanation:
(a) 10p = 3p - 5
7p = - 5
p = -5/7
(b) a^0 = 1 no matter what a is.
(c) 0.5 y²/x
(d) 5cd²(2c² + 3d²)
solving for a variable:
isolate so that the desired variable is alone on one side of the equationperform inverse operationsa)
[tex]10p=3p-5[/tex]
[tex]7p=-5[/tex]
[tex]p=\frac{-5}{7}[/tex]
b) A simple rule to follow is that any number raised to the exponent of 0 is equal to 1
[tex]a^0=1[/tex]
c)
cancel out common factorswhen multiplying exponents with the same base add the exponentswhen dividing exponents with the same base subtract the exponents[tex]\frac{xy^3}{2x^2y}[/tex] cancelled out the common factor of 3
[tex]\frac{y^2}{2x}[/tex] note that [tex]a^-^y=\frac{1}{a^y}[/tex]
d)
find what is in common between the two terms both have a CF of 5cd^2[tex]5cd^2(2c^2+3d^2)[/tex]
Write an equation of the parabola with a vertex at the origin and a focus at (0,−2).
see image for question
Using probability the value of p + q = -0.4
What is probability?Probability is the likelihood of an event.
How to find the value of p + q?Given the Venn diagram and that the probabilities are independent events.
The probability of A or B is given by
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Also, the probability of A and B is given by P(A ∩ B) = P(A)P(B)
So, we have that
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = P(A) + P(B) - P(A)P(B)
From the Venn diagram, we have that
P(A) = p + q
P(B) = q + 0.6
P(A ∩ B) = q
P(A ∪ B) = 0.2
So, substituting these into the equation, we have that
P(A ∪ B) = P(A) + P(B) - P(A)P(B)
0.2 = p + q + q + 0.6 - q
0.2 = p + 2q - q + 0.6
0.2 - 0.6 = p + q
-0.4 = p + q
So, the value of p + q = -0.4
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a ladder 26 feet long is leaning against the wall of a house (see the figure below). the base of the ladder is pulled away from the wall at a rate of 3 feet per second. how fast is the top of the ladder moving down the wall when its base is 10 feet from the wall?
The rate at which the top of the ladder is moving down the wall = 9 feet/second.
This is a problem of right triangle similarity.
We can use the Pythagorean theorem to find the height of the ladder, which is the hypotenuse of a right triangle.
We can use the relationship between similar triangles to find the rate at which the top of the ladder is moving down the wall.
Let x be the distance of the base of the ladder from the wall.
We know that the ladder is 26 feet long, so the height of the ladder is the square root of (26^2 - x^2).
We know that the base of the ladder is moving away from the wall at a rate of 3 feet per second.
So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (height of ladder / x)
When x = 10 feet, the height of the ladder is the square root of (26^2 - 10^2) = the square root of (676) = 26 feet.
So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (26 feet / 10 feet) = 9 feet/second.
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Factorise the following:
9x²+3x²
Answer:
3[tex]x^{2}[/tex](3+1)
Step-by-step explanation:
The HCF is 3[tex]x^{2}[/tex] hence it will go outside the brackets.
Answer:
3x^2(3+1)
^2 means squared or two to the exponential power.
Step-by-step explanation:
Work out the product of 1 5/7 and 3 1/4 Give your answer as a mixed number.
Answer: 5 4/7
Step-by-step explanation: First, we need to change both 1 5/7 and 3 1/4 into an improper fraction. So:
[tex]1 \frac{5}{7}[/tex] = [tex]\frac{12}{7}[/tex]
[tex]3\frac{1}{4}[/tex] = [tex]\frac{13}{4}[/tex]
So, now we need to cross-multiply 12/7 and 13/4.
That'd be 156/28
But wait. We analyze that 156 and 28 can be reduced by 4
So, 156 divided by 4 is 39, and 28 divided by 4 is 7. So now our improper fraction is 39/7. To make it an improper fraction, we divide 39 by 7, which would give us 5 4/7. I hope this helped!
Select the correct answer. Y Probability 10 0. 10 20 0. 25 30 0. 05 40 0. 30 50 0. 20 60 0. 10 The probability distribution of y, a discrete random variable, is given in the table. What is the expected value of y? A. 25. 0 B. 26. 5 C. 35. 0 D. 35. 5
The expected value of y is (D.) 35.5.
The expected value of a discrete random variable is found by multiplying each value of the variable by its corresponding probability and then summing these products. In this case, the probability distribution of y is given in the table.
To find the expected value of y, we need to calculate the sum of the products of each value of y and its corresponding probability.
y * probability = y * P(y)
The expected value of y is E(y) = 100.10 + 200.25 + 300.05 + 400.30 + 500.20 + 600.10
= 2 + 5 + 1.5 + 12 + 10 + 6 = 37.
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Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. a. Write an equation in slope -intercept form to represent the number of questions on the test. _ b. Write an equation in slope-intercept form to represent the total number of points on the test. _. c. Graph the solutions of both equations . d. Use your graph to te ll how many of each question type are on the test.
A) y=-x+15
B) y=-1/2x+10
D) The graphs intersect at x=10,y=5 And spelling questions are 10 and vocabulary questions are 5.
Step-by-step explanation:
Total number of question is 15,
So,
x+ y=15
y=-x+15
B) Total number of points possible is 100
5x +10y=100
x+2y=20
2y=-x+20
y=-1/2x+10
D) The graphs intersect at
x=10,y=5
So spelling questions are 10 and vocabulary questions are 5.
According to the slope-intercept form, the slope-intercept form of the line is given by the equation y = mx + b, where m is the line's slope and (0,b) is its y-intercept. Ax + By = C is the method for a linear equation in standard form, where A, B, and C are real numbers.
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which segment is the shortest
Answer: X or Y
Step-by-step explanation:
Pick two or fewer different digits from the set {1, 3, 6, 7} and arrange them to form a number. How many prime numbers can we create in this manner
We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.
Given that,
The number is either 1-digit or 2-digit.
In the case of 1-digit, the only 1-digit primes are 3 and 7, for a total of 2 primes.
In the case of 2-digit, We have the following combinations of numbers: 13, 16, 17, 36, 37, 67, 76, 73, 63, 71, 61, 31. Out of these 12 numbers, it is easier to count the composites: 16, 36, 76, and 63 for a total of 4 composites, which we subtract from the original 12 numbers to yield 12-4=8 prime numbers.
Thus, We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.
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A cell phone plan cost $27.70 per month for 500 minutes of talk time. It cost an additional $0.08 per minute for each minute over 500 minutes. To get email access, it cost 30% of the price for 500 minutes of talk time. Your bill, which includes email, is the same each month for 9 months. The total cost for all 9 months is $367.29. Write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
567 minutes each month.
Step-by-step explanation:
Let x be the number of minutes of talk time used each month.
The cost for talk time beyond 500 minutes is $0.08 * (x - 500)
The cost for email is $27.70 * 0.3 = $8.31
The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99
The total cost for 9 months is $35.99 * 9 = $323.91
So we can set up the equation:
$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29
Solving for x, we get:
x = 567
So the number of minutes of talk time used each month is 567 minutes.
Each deli sandwich made uses 3/8 pound of roast beef. marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left. how many deli sandwiches did she make?
Answer:
To solve this problem, we will use the following steps:
Step 1: Convert the amount of roast beef used in each sandwich to a decimal by dividing the numerator by the denominator: 3/8 pound = 0.375 pound
Step 2: Subtract the amount of roast beef that Marisa has left from the amount of roast beef that she started with to find the amount of roast beef used: 5 - 2.75 = 2.25 pounds
Step 3: Divide the amount of roast beef used by the amount of roast beef used in each sandwich: 2.25 pounds / 0.375 pounds = 6
Final Answer: Marisa made 6 deli sandwiches.
Find the area of a rhombus, to the nearest square centimeters, whose diagonals have a length of 40 centimeters and 26 centimeters
Given the
Diagonal length 1 (d1) =40cm
diagonal length 2 (d2) =26cm
area of rhombus,
= 1/2 (d1 × d2)
=1/2 (40×26)
=520[tex]cm^2[/tex]
Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520[tex]cm^{2}[/tex].
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A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
2,352,071.15 ft^3 is closest to the volume, in cubic feet, of the sphere .
What does sphere refer to?
The shape and symmetry of a sphere are both round. All of its surface points are equally spaced from the center, making it a three-dimensional solid. Depending on the radius, it has a surface area and a volume.
The volume of a sphere = 4/3 π r^3 where r is the radius.
Here the radius = 1/2 * 165 = 82.5 ft.
So the volume = 4/3 π (82.5)^3
= 2,352,071.15 ft^3
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Simplify, 1.5:20 ratio
By means of ratio properties, the simplified form of ratio 1.5 : 20 is equivalent to ratio 3 : 40.
How to simplify a ratio with decimal numbers
Ratios are relationships between two real numbers of the form a : b, the simplification of ratios can be done by using the following ratio property:
Simplification property for ratios
a : b ← (a · c) : (b · c)
Where a, b, c are real numbers.
The purpose of ratio simplification is to eliminate any decimal number in a ratio. If we know that a = 1.5, b = 20 and c = 2, then the simplified form of the ratio is:
1.5 : 20 → (1.5 · 2) : (20 · 2)
(1.5 · 2) : (20 · 2) = 3 : 40
By ratio properties, ratio 3 : 40 is the simplified form of ratio 1.5 : 20.
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1. a woodworker produces 2 chairs every day. the company that buys the chairs randomly selects the days on which to check the chairs made that day. does this result in a random sampling? yes, because each item has an equal chance of being selected. no, because each group of n items does not have an equal chance of being selected. yes, because each group of n items has an equal chance of being selected. no, because each item does not have an equal chance of being selected.
Yes, this results in a random sampling because every day the woodworker produces two chairs, and the company that buys the chairs randomly selects the days on which to check the chairs made that day.
This means that each item (each chair) has an equal chance of being selected, and each group of n items (in this case, two chairs) also has an equal chance of being selected. The probability of an item being selected can be calculated using the formula P(A) = n/N, where n is the number of items in the sample and N is the total number of items in the population. In this case, the probability of an item being selected is 2/2 = 1, and the probability of a group of two items being selected is 2/2 = 1. This shows that each item and each group of items has an equal chance of being selected, which means that this is a random sampling.
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Simplify to 5c + 3p,
The variable and the number come in one team.
We call that a(n)
Answer:
3(5/3c+p)
Step-by-step explanation:
5c+3p=3(5/3c+p)
a lawn sprinkler located at the corner of a yard rotates through 80 degrees and sprays water of 20 ft. what is the length of the arc of the sector watered?
The length of the arc of the sector watered is 0.89π.
In the given question, a lawn sprinkler located at the corner of a yard rotates through 80 degrees and sprays water of 20 ft.
We have to find the length of the arc of the sector watered.
From the given question,
r = 20 ft, θ = 80 degree
A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.
The formula for the length of the arc of the sector watered is
L = [tex]\frac{\theta}{360^{o}}\times 2\pi r[/tex]
Now putting the value
L = [tex]\frac{80^{o}}{360^{o}}\times 2\times\pi \times20[/tex]
Now simplifying the length
L = [tex]\frac{320^{o}}{360^{o}}\pi[/tex]
L = 0.89π
Hence, the length of the arc of the sector watered is 0.89π.
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What is ½ as a percentage?
Answer:
50%
1 2 = 1 × 50 2 × 50 = 50 100 . . So the answer is 50%.
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The total amount of garbage y is proportional to the number of days x, as shown in the graph.
Write an equation to represent this relationship.
The equation that represent the relationship between pounds of garbage y and of days x is y = 4.5x
What direct variation?Direct variation describes a simple relationship between two variables . We say y varies directly with x , then y=kx. for some constant k , called the constant of variation or constant of proportionality .
From the graph when y = 4.5 , x = 1 and when y = 9 , x = 2. we can take any of these values to find K
y = kx
9 = 2k
therefore K = 9/2 = 4.5
representing K for 4.5 in y = kx
then, y = 4.5x
therefore the equation of the relationship between y and x is y = 4.5x
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Find x (5x-37)=(3x+1)
Answer:
x = 19
Step-by-step explanation:
5x - 37 = 3x + 1 (move over the 3x by subtracting)
2x - 37 = 1 (move over the 37 by adding)
2x = 38 (divide both sides by 2)
x = 19
x=19
Step-by-step explanation:
(5x-37) = (3x+1)
5x - 3x = 1 + 37
5x - 3x = 38
2x = 38
x = 19
A region satisfies the inequalities 1 ≤ x ≤ 5 and 2 ≤ y ≤a. What value of a would give the region an area of 24 square units?
Answer:
a = 8
Step-by-step explanation:
The following inequalities will form a rectangle. Hence, the area of a rectangle is [tex]\displaystyle{A=\Delta x \cdot \Delta y}[/tex]
In this case, [tex]\Delta x[/tex] = 5-1 which is 4, and [tex]\Delta y[/tex] = a - 2. Substitute in:
[tex]\displaystyle{24 = 4\cdot (a-2)}[/tex]
Now solve the equation for a-term:
[tex]\displaystyle{24=4a-8}\\\\\displaystyle{24+8=4a}\\\\\displaystyle{32=4a}\\\\\displaystyle{8=a}[/tex]
Therefore, the value of a is 8 to make the region have an area of 24 square units.
Consider the two equations below. Explain completely the similarities and differences in how you would solve each equation. Be clear and complete.
3^x=12 and x^3=12
The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:
x = log3(12)
The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:
x = ∛12
How does the equation compare?The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.
The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.
As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.
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1.4 unit conversion. (a) convert a mass of 2.2 kg into ounces and lbm. (b) convert 12 lbf /in2 into kpa and mmhg. (c) convert 160 hp into cal/s and btu/s. (d) convert 82 gallons into quarts and ml. (e) convert 34 in into m and cm.
Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.
What is conversion factor ?
A conversion factor is a ratio of two equivalent measurements used to convert a quantity from one unit to another.
(a) To convert 2.2 kg to ounces, we can use the conversion factor 1 kg = 35.274 oz. So, 2.2 kg = 2.2 * 35.274 oz = 77.6 oz. To convert 2.2 kg to lbm, we can use the conversion factor 1 kg = 2.205 lbm. So, 2.2 kg = 2.2 * 2.205 lbm = 4.83 lbm.
(b) To convert 12 lbf/in2 to kPa, we can use the conversion factor 1 lbf/in2 = 6.894 kPa. So, 12 lbf/in2 = 12 * 6.894 kPa = 82.7 kPa. To convert 12 lbf/in2 to mmHg, we can use the conversion factor 1 lbf/in2 = 51.715 mmHg. So, 12 lbf/in2 = 12 * 51.715 mmHg = 620.6 mmHg.
(c) To convert 160 hp to cal/s, we can use the conversion factor 1 hp = 746 cal/s. So, 160 hp = 160 * 746 cal/s = 119,360 cal/s. To convert 160 hp to Btu/s, we can use the conversion factor 1 hp = 550 Btu/s. So, 160 hp = 160 * 550 Btu/s = 88,000 Btu/s.
(d) To convert 82 gallons to quarts, we can use the conversion factor 1 gallon = 4 quarts. So, 82 gallons = 82 * 4 quarts = 328 quarts. To convert 82 gallons to mL, we can use the conversion factor 1 gallon = 3785.4 mL. So, 82 gallons = 82 * 3785.4 mL = 313,981.8 mL
(e) To convert 34 in to m, we can use the conversion factor 1 in = 0.0254 m. So, 34 in = 34 * 0.0254 m = 0.8636 m. To convert 34 in to cm, we can use the conversion factor 1 in = 2.54 cm. So, 34 in = 34 * 2.54 cm = 86.36 cm.
Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.
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PLS HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\textsf{1)} \quad 10000(1.06)^t[/tex]
2) €17,908.48
3) 0.5%
4) 120
[tex]\textsf{5)} \quad 10000(1.005)^{120}[/tex]
6) €18,193.97
7) More money.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Question 1Given:
P = €10,000r = 6% = 0.06Substitute the given values into the compound interest formula to write an expression that describes the given scenario over t years:
[tex]\implies A=10000(1+0.06)^t[/tex]
[tex]\implies A=10000(1.06)^t[/tex]
Question 2To calculate how much money will be in the fund after 10 years, substitute t = 10 into the equation from question 1:
[tex]\implies A=10000(1.06)^{10}[/tex]
[tex]\implies A=10000(1.79084769...)[/tex]
[tex]\implies A=17908.4769...[/tex]
Therefore, there will be €17,908.48 in the emergency fund after 10 years.
Question 3If the annual rate is 6%, the monthly interest rate is the annual rate divided by 12 (since there are 12 months in a year):
[tex]\implies \dfrac{6\%}{12}=0.5\%[/tex]
Question 4Given that are 10 years in the scenario, the exponent will be the number of months in 10 years:
[tex]\implies 10 \times 12 = 120[/tex]
Question 50.5% = 0.005
Therefore, the complete expression that describes the scenario, given an annual interest rate of 6% that compounds monthly over 10 years is:
[tex]\implies 10000(1 + 0.005)^{120}[/tex]
[tex]\implies 10000(1.005)^{120}[/tex]
Question 6To calculate how much money will be in the emergency fund after 10 years if the interest compounds monthly, calculate the expression from question 5:
[tex]\implies 10000(1.005)^{120}[/tex]
[tex]\implies 10000(1.81939673...)[/tex]
[tex]\implies 18193.9673...[/tex]
Therefore, there will be €18,193.97 in the emergency fund after 10 years.
Question 7Amount in fund when compounded annually = €17,908.48
Amount in fund when compounded monthly = €18,193.97
Therefore, there is more money in the emergency fund when it is compounded monthly as the compounding frequency is greater (interest is earned on both the principal and the interest, so the more frequent the compounding periods are, the more interest is earned).
The general rule about compounding in exponential functions is the higher the number of compounding periods, the greater the amount of compound interest.
In terms of compounding interest in investment:
The annual interest rate should be divided by the compounding frequency, and the exponent should be multiplied by the compounding frequency.two trains leave the station at the same time, one heading east and the other west. the eastbound train travels at miles per hour. the westbound train travels at miles per hour. how long will it take for the two trains to be miles apart? do not do any rounding.
It will take (miles / (mph eastbound + mph westbound)) hours for the two trains to be miles apart.
(miles / (mph eastbound + mph westbound)) * 60 minutes/hour = minutes
The time it takes for two trains to be a certain distance apart depends on the speed of each train and the distance between them. To calculate this, we can use the equation time = distance/speed. We can also use this equation to calculate the time for two trains traveling in opposite directions. To do this, we add the speed of the eastbound train (mph eastbound) and the speed of the westbound train (mph westbound) and divide the distance between the two trains (miles) by the total. This gives us the amount of time it will take for the two trains to be miles apart. After converting the answer to minutes, we get the amount of time it will take for the two trains to be miles apart.
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in 6 years the age of my sister and her three children will be 90 years what will it in 4 years
The age of my sister and her three children in 4 years will be 70 years
How to find the age in 4 yearsThe age is added in 6 years to get 90 years> the addition is done as follows
Sister + 6 + Child1 + 6 + Child2 + 6 + Child3 + 6 + Child4 + 6 = 90 years
Sister + Child1 + Child2 + Child3 + Child4 + 6 + 6 + 6 + 6 + 6 = 90
Sister + Child1 + Child2 + Child3 + Child4 + 6 * 5 = 90
Sister + Child1 + Child2 + Child3 + Child4 = 90 - 30
Sister + Child1 + Child2 + Child3 + Child4 = 60
In 4 years the age will be
Sister + Child1 + Child2 + Child3 + Child4 + 4 * 5 = 90
Sister + Child1 + Child2 + Child3 + Child4 = 90 - 20
Sister + Child1 + Child2 + Child3 + Child4 = 70
in 4 years the ages will be 70 years
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Help I have one more try
Answer: The answer is 4
Step-by-step explanation: Firstly you want to convert the whole number into a fraction, the fraction will be 24/1. Then you multiply 1/6 by 24/1 or 1x24/6x1 which equals 26/6. This fractio can be simplified, by finding the greatest common factor. The GCF of 24 and 6 is 6.
24/6 = 4
6/6 = 1
So our full answer is 4/1 which simplifies to 4
Answer:
4
Step-by-step explanation:
take 24 divided by 6 you'll get
Alden has two part-time jobs. He works 4 times as many hours at a grocery store than he works at a shoe store. Let g represent the hours Alden works at the grocery store and s represent the time he works at the shoe store.
Which equation represents the relationship between the hours that Alden works at the grocery store and the shoe store?
Answer:
4g=s
Step-by-step explanation:
4g=s
there are 4 g's for every s as he work for 4 times as many hours at the grocery store.
