Answer:
a. 8/24 or 1/3 a day
b. 45/60 or 3/4 a hour
c. 1/7 of a week
d. 4/12 or 1/3 a year
Step-by-step explanation:
Simply divide by the conversion you want to set.
60 seconds is 1 hour
24 hours is 1 day
7 days is 1 week
3-4 weeks per month (depending on the month and year)
12 months a year
SOMEONE HELP ME PLSSS!
Answer:
y is 1 and x is 4
Step-by-step explanation:
becasue the y intercepts at 1 and the x intercepts at 4
Solve for y 2y=24-4y
Answer:
y = 4
Step-by-step explanation:
2y=24-4y
Add 4y to both sides
2y+4y=24-4y+4y
6y=24
Divide both sides by 6
6y÷6=24÷6
y=4
The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11
Answer:
D. y = 2x2 + 16x+11
Step-by-step explanation:
this is the correct answer, the person above me is incorrect!!
ap ex :)
The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.
Expand the equation, we have
y = 2(x + 4)² – 21
y = 2(x² + 16 + 8x) – 21
y = 2x² + 32 + 16x – 21
y = 2x² + 16x 11
Then the correct option is D.
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A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost. Packages of Batteries Number of Batteries Total
Complete question:
A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost.
Packages of Batteries
Number of Batteries
Total Cost
3
$8
5
$8
12
$24
14
$24
Which package offers the best deal?
3 for $8
5 for $8
12 for $24
14 for $24
Answer:
5 for $8
Step-by-step explanation:
Given:
3 batteries sell for $8
5 batteries sell for $8
12 batteries sell for $24
14 batteries sell for $24
To find the package that offers the best deal, find the cost of each battery by dividing each total cost by the number of the batteries. The package with the lowest will be the best package.
Thus:
Package 1: [tex] \frac{8}{3} = 2.67 [/tex]
Package 2: [tex] \frac{8}{5} = 1.60 [/tex]
Package 3: [tex] \frac{24}{12} = 2.00 [/tex]
Package 1: [tex] \frac{24}{14} = 1.71 [/tex]
The best package here is package 2 where 5 batteries sell for $8, because the cost of each battery here is significantly lower than the cost of each battery in other packages.
Answer:
5 for $8
Step-by-step explanation:
According to the diagram below, which similarity statements are true? Check all that apply.
Answer:
Options A and C are correct answers.
Similar triangles may or may not be congruent.
The true statements are: [tex]\mathbf{A.\ \triangle ABC \sim \triangle ADB,\ C.\ \triangle ABC \sim \triangle BDC,\ D.\ \triangle ABD \sim \triangle BCD }[/tex]
From the figure, we have the following highlights
Triangle ABC is right-angled at BTriangle ADB is right-angled at DTriangle BDC is right-angled at DThis means that:
Triangles ABC and ADB are similarTriangles ABC and BDC are similarTriangles BDC and ADB are similarHence, the true statements are: (a), (c) and (d)
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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.) $1.75 $2.06 $2.39 $3.99
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
Answer:
1.75
Step-by-step explanation:
help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 2676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.67676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198Answer:
Step-by-step explanation: First, create an equation that represents the repeating decimal that you want to convert to a fraction
x = 2.267267.... (1)
There are 3 repeating decimals, multiply both sides of the equation by 103 = 1000 so that both equations have the same repeating digits to the right of the decimal point
1000x = 2267.267267... (2)
Subtract the equation (1) from equation (2)
1000x
x =
= 2267.267267...
2.267267...
999x = 2265
Solve for the x in the equation to determine the equivalent fraction.
x =
2265
999
Since the greatest common factor of 2265 and 999 is 3, we can simplify the fraction and show the same amount
2265
999
=
2265 ÷ 3
999 ÷ 3
=
755
333
Therefore, 755/333 is simplified fraction of 2.267 repeating. Since this is an improper fraction, converted to mixed number is:
755
333
= 2
89
333
Therefore, 2.267 repeating as a fraction is 755/333 and It is written as 2 89/333 in mixed number form.
Tom went to shop to buy 8 eggs . When he reach back home he broke one egg, fry one egg and eat one egg. How much eggs does Tom have now
Answer:
7
Step-by-step explanation:
Answer:
Pretty sure he has 6 eggs
Step-by-step explanation:
The expression 4x + 5 can be used to find the cost of
ordering 4 tickets online to a play at a local theater.
What is the coefficient in the expression?
OA) 4x + 5
OB) 4
OC) x + 5
OD) 5
Answer:
ob) 4
Step-by-step explanation:
th coefficient is the number that multiplies a variable
Answer:
Yes,the coefficient is 4
Step-by-step explanation:
Y=-3+4cos(5pi/6(x+4)) what is the minimum value
Answer:
p = 3.141593
Step-by-step explanation:
Your teacher has 72 juice boxes and 90 candies for a Halloween party each student will receive the same amount of juice boxes/candies and all juice boxes/candies must be used what is the greatest number of students that can attend the party
Answer:
18
Step-by-step explanation:
This question is essentially asking what the greatest common factor of 72 and 90 is. The prime factorization of 72 is:
[tex]2^3\cdot 3^2[/tex]
For 90:
[tex]2\cdot 5\cdot 3^2[/tex]
Therefore, the greatest common factor is [tex]2\cdot 3^2=2\cdot 9=18[/tex]. Hope this helps!
HELP ME PLEASE I AM TIMED, I NEED HELP FAST Here is the screen shot of the question
Answer:
Option C. r = ½√P/πI
Step-by-step explanation:
P = 4πIr²
From the question given above, we are to make r the subject of the formula. This can be achieved as shown below:
P = 4πIr²
Divide both side by 4πI
r² = P/4πI
Take the square root of both side
r = √P/4πI
The square of 4 is 2. Therefore the expression becomes:
r = ½√P/πI
A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?
Answer:
1 solution.
Step-by-step explanation:
consistent means it has at least 1 solution
independent means it only has 1 solution
so your answer is : 1 solution
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Select the ones that correctly demonstrate the operations of scientific notation
Note that more than one option may be correct. Select all the correct answers
A. (4.0 x 103)(5.0 x 105) = 2 x 10^9
B. 4.5x105/9.0x10° = 2 x 10^4
C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5
D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3
Answer:
A and C
Step-by-step explanation:
A. \
(4.0 x 5.0)(10^3 x 10^5)
20 x 10^8
2.0 x 10^9
B. doesn't work, do not understand last number
C.
(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything
4.8 x 10^5
D.
(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal
Do not need to subtract powers, hence D is untrue
Multiply 3x(2x-1) by following these steps
Answer:
[tex]6x^2-3x[/tex]
Step-by-step explanation:
[tex]3x(2x-1)[/tex]
[tex]3x(2x)+3x(-1)[/tex]
[tex]6x^2+-3x[/tex]
After apply distributive property, required solution is,
⇒ 6x² - 3x
We have tp given that,
An expression to simplify,
⇒ 3x (2x - 1)
We can simplify it by distributive property,
⇒ 3x (2x - 1)
⇒ 3x × 2x - 3x × 1
⇒ 6x² - 3x
Therefore, The required solution is,
⇒ 6x² - 3x
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Which of the following is the rule for the geometric
sequence 1, 3. 9. 27, ...?
an = 3.39-1
an = 3.31
an = 1.32
an = 1.39-1
Answer:
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
Step-by-step explanation:
The n th term rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , thus
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
Is AXYZ- ABC? If so, name which similarity postulate or theorem applies.
B
50°
55"
z
50° 55'
X
A
A. Similar - SAS
B. Similar - SSS
O C. Similar - AA
D. Cannot be determined
Answer:
Step-by-step explanation:
Similar - AA
Triangles ΔXYZ and ΔABC are similar by AA.
Option C is the correct answer.
What is triangle congruency?
There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
ΔXYZ and ΔABC
We see that,
∠X = ∠A
∠Z = ∠C
Now,
ΔXYZ,
∠Y = 180 - (50 + 55) = 180 - 105 = 75
Similarly,
∠B = 75
Now,
∠Y = ∠ B
We can say that,
∠X = ∠A
∠Z = ∠C
∠Y = ∠ B
ΔXYZ and ΔABC are similar.
Thus,
ΔXYZ and ΔABC are similar by AA.
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A retail store sells 500 jackets each month. Each jacket costs the store $99, and for holding cost purposes, the store estimates capital costs of 12%, storage costs of 10%, and risk costs of 3%. Furthermore, the store incurs annual operating expenses for purchasing in the amount of $1080 in addition to $10 for inspecting and receiving each order. If the store currently places a replenishment order of 650 jackets each time, what is the total annual holding and ordering cost? (Round your answer to the nearest integer)
Answer:
1) The total annual holding cost is $144,788
2) The annual ordering cost is $1170
Step-by-step explanation:
The parameters given are;
The number of jackets sold per month = 500 jackets
The cost of each jacket = $99
The capital cost = 12%
The storage cost = 10%
The risk cost = 3%
Annual purchasing expenses = $1080
Cost for inspecting and receiving each order = $10
Number of jackets contained in each order = 650 jackets
1) Therefore, we have;
Number of jackets sold per annum = 500 × 12 = 6,000
Number of times jackets are ordered per year = (Number of jackets sold per annum)/(Number of jackets sold per annum)
Number of times jackets are ordered per year = 6000/650 = 9.23≈9 orders
Total cost of order = 9 × 650 × 99 = $579,150
Given that the total annual holding cost = (12 + 10 + 3)% of ordering cost
Therefore, the total annual holding cost = 25% of ordering cost
the total annual holding cost = 0.25 × 579,150
The total annual holding cost = $144,787.5 ≈ $144,788
2) The annual purchasing operating expense = $1080
The total cost of inspecting the 9 orders = 9 × $10 = $90
The annual ordering cost = $1080 + $90 = $1170
ASAP PLZZZ
Which of the following statements are true? Check all of the boxes that apply.
Triangle ABC is a right triangle.
Segment h divides triangle ABC into two congruent triangles
Segment h divides triangle ABC into two right triangles.
a2 = b2 + c2
c2 = h2 + b2 - 2bx + x2
If you know sides a, b, and c, you can find all the angles of triangle ABC.
The true statements are:
Segment h divides triangle ABC into two right triangles.c2 = h2 + b2 - 2bx + x2If you know sides a, b, and c, you can find all the angles of triangle ABC.How to find the angles of a triangleTo find the angles of a triangle, you need to know at least two of the side lengths or one of the side lengths and the height of the triangle. There are different methods for finding the angles depending on what information you have.
If you know all three side lengths of the triangle, you can use the Law of Cosines to find each angle:
cos(A) = (b^2 + c^2 - a^2) / (2bc)
cos(B) = (a^2 + c^2 - b^2) / (2ac)
cos(C) = (a^2 + b^2 - c^2) / (2ab)
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A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting an Ace and the coin landing on tails?
Answer:
1/26
Step-by-step explanation:
In a standard pack of cards, there are 52 total cards and 4 aces, two black aces and two red aces.
The probability of selecting an ace is therefore:
4/52 = 1/13
The probability of flipping a coin and it landing on tails is:
1/2
Therefore, the probability of selecting an Ace and the coin landing on tails is:
1/13 * 1/2 = 1/26
if cos2A=11/25, show that cosA=6/5√2
Answer:
it is not I think...
Step-by-step explanation:
Using the identity
[tex]\cos(2a) = 2 \cos^2(a) - 1[/tex]
We can solve:
[tex]2 \cos^2(a) - 1 = \frac{11}{25}[/tex]
[tex]2 \cos^2(a) = \frac{36}{25}[/tex]
[tex]\cos^2(a) = \frac{18}{25}[/tex]
[tex]\cos(a) = \sqrt \frac{18}{25}[/tex]
[tex]\cos(a) = \sqrt{ 2 \cdot \frac{3^2}{5^2} }= \frac35 \sqrt 2[/tex]
So whoever asked the question forgot the factor 2!!!
Or did I miss anything??
The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was walking into the store. Use the information from the receipts to write a system of linear equations that can be used to determine the price per pound of grapes and the price per pound of oranges. Then, use the system to test the following solutions to determine which solution is viable. A. Given these constraints, grapes cost $3.25 per pound, and oranges cost $1.05 per pound. B. Given these constraints, grapes cost $1.60 per pound, and oranges cost $2.15 per pound. C. Given these constraints, grapes cost $1.05 per pound, and oranges cost $3.25 per pound. D. Give these constraints, grapes cost $2.15 per pound, and oranges cost $1.60 per pound.
Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
How to do this answer 6789×346
Answer:
2348994
Step-by-step explanation:
6789 x 346= 2348994
Hope this helps! Please mark brainiest!!!
Answer:
2348994
Step-by-step explanation:
for the following geometric sequence find the recursive formula. {1, -3, 9, ...}
Answer:
[tex]g_{n}=g_{n-1} *-3[/tex]
Step-by-step explanation:
A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex]. N is the number of terms and r is the rate of change. R here equals -3 because you are multiplying by -3 eachtime. Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]
please please help me ill give u brainly :))
Answer:
2.38
Step-by-step explanation:
1.40 / 2.5 = 0.56
0.56*4.25 = 2.38
Two parallel lines are crossed by a transversal. Horizontal and parallel lines g and f are cut by transversal h. At the intersection of lines g and h, the bottom left angle is a degrees. At the intersection of lines f and h, the bottom left angle is 63 degrees.
Answer:
117 degreesStep-by-step explanation:
According to Alternate Exterior Angles Theorem, and then Definition of linear pair, the angle A and the angle that is 63 degrees are supplementary:
Thus, we can use the following equation to find A:
A+63=180
A=180-63
A=117 degrees
Answer:
117
Step-by-step explanation:
Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.
Answer:
280 ft2
Step-by-step explanation:
The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.
The area of one of these rectangles is:
[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]
Then, the area of the seven rectangles is:
[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]
So the lateral area of this prism is 280 ft2.
Can anyone help me i am really confused
Answer:
125 cm³
Step-by-step explanation:
The volume (V) of a cube = s³ ( s is the length of the sides )
Since the shape is a cube then all sides are congruent, thus
V = 5³ = 5 × 5 × 5 = 25 × 5 = 125 cm³
Answer:
v=l×w×h 5×5×5=125cubedcm
Step-by-step explanation:
you see a cube has an equal length, width and height
A circle has a circumference of 452.16 units. What is the radius of the circle?
Answer:
r =71.96 or 72
Step-by-step explanation:
C=2[tex]\pi[/tex]r
452.16=2[tex]\pi[/tex]r
divide by 2[tex]\pi[/tex]
71.96 =r
One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43
Answer:
Step-by-step explanation:
We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is
x = 2y + 7
The second equation, then, is
x - y = 22
Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:
2y + 7 - y = 22 and
y + 7 = 22 so
y = 15.
Sub that in for y to solve for x:
x - 15 = 22 so
x = 37
Answer:
its 37
Step-by-step explanation:
