Can someone help me please?
Step-by-step explanation:
#12)
1 5/8= 8x1 = 8 + 5 = 13
13/8 = 13÷8 = 1.625 and it not a repeating decimal
#13)
5/6 = 5 ÷ 6 = 0.833333 and is a repeating decimal
Expand the brackets 2x(3x+5).
Answer:
6x²+10x
Step-by-step explanation:
2x(3x+5)
Distribute 2x to the terms in the bracket.
2x(3x) + 2x(5)
2x × 3x + 2x × 5
Multiply the terms.
6x²+10x
The answer is 6x²+10x.
Answer:
[tex]\huge\boxed{\sf 6x\² + 10x}[/tex]
Step-by-step explanation:
Given expression:
= 2x (3x + 5)
Distribute
= 6x² + 10x
[tex]\rule[225]{225}{2}[/tex]
Prove OPR=QRP using a paragraph proof. (Write out the words for symbols. For example, write "Z" as "angle" and "x" as
"congruent to.")
Answer:
[tex]\triangle OPR \cong \triangle QRP[/tex] as per AAS congruence.
Step-by-step explanation:
We are given two triangles [tex]\triangle OPR \ and\ \triangle QRP[/tex].
Side OP is parallel to Side QR.
OP || QR
[tex]\angle O = \angle Q[/tex]
To prove:
The two triangles are congruent i.e. [tex]\triangle OPR \cong \triangle QRP[/tex]
Solution:
Let us have a look at the triangles:
[tex]\triangle OPR \ and\ \triangle QRP[/tex]
1. Given that [tex]\angle O = \angle Q[/tex].
2. Side OP || RQ so, [tex]\angle OPR = \angle QRP[/tex] because they are the alternate angles of parallel sides. (Alternate angels are equal when a line cuts two parallel sides).
3. Side PR is common to both the sides i.e. PR = RP
Hence, by AAS congruence i.e. two angles and a side which is not between the two angles are same.
[tex]\therefore \triangle OPR \cong \triangle QRP[/tex] as per AAS congruence.
Using the frequency table below, what is the probability of people that are not boys? 10% 20% 30% 50%
Answer:
50%
Step-by-step explanation:
Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.
The equation of a circle is (x - 3)^2 + (y + 2)^2 = 25. The point (8, -2) is on the circle. What is the equation of the line that is tangent to the circle at (8, -2)?
Answer:
x = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.
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here are two squares A and B. The length of the side A is 50% of the length of the side square B. Express the area of the shaded region of square A as a percentage of the area of square B.
Please answer quickly!!
Answer:
12.5%
Step-by-step Explanation:
==>Given:
Square A side length = 50% Square B side length
Area of Square A that is shaded = ½ of the area of Square B
==>Required:
Area of shaded region of Square A as a % of Area of Square B
==>Solution:
Let "b" be the side length of Square B
Let "a" be the side length of Square A
Since we are told that the side length of Square A (a) = 50% of side length of Square B (b), thus we have,
a = ½b
==>Let's find the area of Square A and Square B:
Area of a square = s², where s = side length
Area of Square A = (½b)² = b²/4
Area of Square B = b²
==>Let's find the area of the shaded region of the Square A = ½ of area of Square A.
Thus,
Area of shaded region of Square A = ½*(b²/4) = b²/8
==>Let's express the area of the shaded portion of square A as a percentage of are of Square B:
Thus, Area of shaded portion of Square A ÷ Area of Square B × 100%
[tex] = \frac{\frac{b^{2} }{8} }{b^{2} } * 100 [/tex]
[tex] = \frac{b^{2} }{8} * \frac{1}{b^{2} } * 100 [/tex]
[tex] = \frac{b^{2}*1 }{8*b^{2} } * 100 [/tex]
[tex] = \frac{b^{2} }{8*b^{2} } * 100 [/tex]
[tex] = \frac{1}{8} * 100 = 12.5 [/tex]
The area of the shaded region of Square A is 12.5% of the area of Square B.
opened a savings account and deposited $1,000.00. The account earns 9% interest, compounded continuously. If he wants to use the money to buy a new bicycle in 1 year, how much will he be able to spend on the bike? Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years. Round your answer to the nearest cent.
Answer: $1094.17
Step-by-step explanation:
Amount = Pe^rt
Molly spent 1 hour and 30 minutes swimming 5 laps in the river. If it took her the same time to swim each lap, how long would it take her to swim 7 laps?
Answer:
126 minutes or 2 hours and 6 minutes
Step-by-step explanation:
Find how long it took her to swim one lap
1 hour and 30 minutes = 90 minutes
90/5 = 18
This means it took her 18 mins to swim each lap
18 · 7 = 126
It took her 126 minutes/2 hours and 6 minutes to swim 7 laps
126 hours (aka 2 hours and 6 minutes)
That is the Answer.
What is the domain of the function represented by these ordered pairs?
{(-2, 1), (0, 0), (3, -1) (-1, 7), (5, 7)}
O-2, -1, 0, 3,5}
O {-1, 0, 1, 7}
O {-2, -1, 0, 1, 3, 5, 7}
O {0, 1, 2, 3, 5}
Answer:
A. {-2, -1, 0, 3, 5}
Step-by-step explanation:
The domain is the set containing the x-coordinates of all the points of the function.
{(-2, 1), (0, 0), (3, -1) (-1, 7), (5, 7)}
Domain: {-2, -1, 0, 3, 5}
Explanation:
Every point of that given function is in the form (x,y). The x coordinate is always listed first. The domain is the set of allowed x values of a function. All we do is list the x coordinates of each point. Optionally you sort the x values from smallest to largest just to keep things consistent. Though a set like {1,2,3} is the same as {3,1,2}.
Side note: the range is the set of possible y values of a function
I have two questions. Please try to answer both!
How many non-similar triangles have angles whose degree measures are distinct positive integers in an arithmetic progression?
In an arithmetic sequence a7 −2a4 = 1, a3 = 0. Find the common difference.
Thank you!
Answer:
(a)59
(b)[tex]d=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Part A
The nth term of an arithmetic sequence, [tex]T_n=a+(n-1)d[/tex]
Let the first angle of the triangle =a
Let the common difference = d.
Since the measures of the angles are in an arithmetic progression
We have:
a + (a + d) + (a + 2d) = 180
3a+3d=180
a+d=60
Since a or d cannot be equal to zero, the minimum possible values of a and d is 1 and the maximum possible values of a and d is 59.
Therefore, there are 59 non-similar triangles.
Part B
In an arithmetic sequence
[tex]a_7 -2a_4 = 1, a_3 = 0.[/tex]
[tex]2a_4=a_7-1\\a_4=\dfrac{a_7-1}{2}[/tex]
Common difference,
[tex]d=a_4-a_3\\=\dfrac{a_7-1}{2}-0\\d=\dfrac{a_7-1}{2}[/tex]
[tex]a_7=a_4+3d\\=\dfrac{a_7-1}{2}+3(\dfrac{a_7-1}{2})\\=\dfrac{a_7-1}{2}+\dfrac{3a_7-3}{2}\\=\dfrac{a_7-1+3a_7-3}{2}\\a_7=\dfrac{4a_7-4}{2}\\$Cross multiply\\2a_7=4a_7-4\\2a_7-4a_7=-4\\-2a_7=-4\\a_7=2[/tex]
Therefore:
[tex]d=\dfrac{2-1}{2}\\d=\dfrac{1}{2}[/tex]
The area of a trapezium is 35 cm² and the distance between its parallel sides is 16 cm. if one of the parallel is of length 25 cm, find the length of the other.
Answer:
No solution
Step-by-step explanation:
A = (b1 + b2)h/2
A = 35 cm²
h = 16 cm
b1 = 25 cm
b2 = ?
35 = (25 + b2)(16)/2
70 = (25 + b2)(16)
70 = 400 + 16b2
16b2 = 330
b2 = 330/16 = -20.625
The answer is a negative number. Since the base of a trapezium cannot have a negative length, there does not exist a trapezium with the given information.
Drag each expression to show whether the product is less than 1, equal to 1, or greater than 1
Answer:
i
Step-by-step explanation:
The mean temperature for the first 7 days in January was 6 degrees.The temperature on the 8 days was 10 degrees . What is the mean temperature for the first 8 days in January?
Answer: The mean temperature for the first eight days is 6.5 degrees
Step-by-step explanation: The most important piece of clue has been given which is the mean (average) for the observed data set, which is 7 days.
Note that the formula for the mean of a data set is derived as;
Mean = ∑x / f
Where ∑x is the summation of all observed data set and f is the number of data observed, that is 7. The formula now becomes;
6 = ∑x / 7
By cross multiplication, we now have,
6 * 7 = ∑x
42 = ∑x
This means the addition of all temperature observed on the first 7 days is 42. The temperature on the eighth day is now given as 10 degrees, this means the summation of all observed data for the first eight days would become 42 + 10 which equals 52. Therefore when calculating the mean for the first eight days, ∑x is now 52. The formula for the first eight days therefore is derived as follows;
Mean = ∑x / 8
Mean = 52 / 8
Mean = 6.5
The calculations therefore show that the mean temperature for the first eight days in January is 6.5 degrees
How many squares are in the image
Answer:
32
Step-by-step explanation:
k
Answer:
hope this helps, take care, stay safe, keep smiling
Step-by-step explanation:
i see 40 squares
the area of a playground is 256²m find the length of the playground
Answer:
I'm pretty sure the length is 16m.
Step-by-step explanation:
If the area is a total of 256^2 m, then finding the square root of that area would get you the side length of the playground. The square root of 256 is 16, therefore the sidelength of the playground is 16m :)
Help Idk what this is ASAP
Answer:
A
Step-by-step explanation:
Reflected across the x-axis => but then moved up 4 units
this makes it in a way "flipped"
We see a's coordinates = (-3, 3)
b's coordinates = (-1, 1)
c's coordinates = (-2, 3)
Hope this helps!
Answer:
Choice A
Step-by-step explanation:
Step 1 - reflection across x-axis, affects y-coordinate only
(x, y) ⇒ (x, -y)Step 2- 4 units up, affects y-coordinate only
(x, -y) ⇒ (x, -y+4)So for the given points we have:
A(-3, 1) ⇒ A'(-3, -1+4)= A' (-3, 3)B(-1, 3) ⇒ B'(-1, -3+4)= B' (-1, 1)C(-2, 1) ⇒ C'(-2, -1+4)= C' (-2, 3)Choice A is correct
x - y = 3 what out the value of 2x-2y
Answer:
6
Step-by-step explanation:
=> 2x-2y
Taking 2 common
=> 2(x-y)
Given that x-y = 3
=> 2(3)
=> 6
Answer:
1
[tex] - y = 3x \\ \frac{ - y}{ - 1} = \frac{3 - x}{ - 1} \\ y = \frac{3 - x}{1 } \\ y = x - 3[/tex]
2
[tex]2x - 2y \\ factor \: out \: 2 \\ 2(x - y) \\ [/tex]
The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first. Which statements are true regarding the transformation? Check all that apply. EF corresponds to E'F'. FG corresponds to G'D'. ∠EDG Is-congruent-to ∠E'D'G' ∠DEF Is-congruent-to ∠D'E'F' The transformation is not isometric. The transformation is a rigid transformation.
Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
Parallelogram DEFG is mapped to D'E'F'G'DEFG and D'E'F'G' have identical side lengths and angle measures.The following applies:
EF corresponds to E'F'∠EDG Is-congruent-to ∠E'D'G'∠DEF Is-congruent-to ∠D'E'F'Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
The transformation is a rigid transformation.Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
Answer:
1346
Step-by-step explanation:
i need help please reply quickly higher gcse question
Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle = [tex]\frac{1}{2}[/tex] × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:
105 m²Step-by-step explanation:
see attached
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answer:
5 ft, I think
What is the midpoint of the horizontal line segment graphed below?
10
(-6,3)
(10,3)
- 10
10
- 10
Answer:
The midpoint of the horizontal line segment (-6, 3) (10, 3) is (2, 3)
Step-by-step explanation:
The midpoint formula: (x1+x2)/2 , (y1+y2)/2
(-6+10)/2 , (3+3)/2
4/2 , 6/2
2, 3
The midpoint of the horizontal line segment graphed below is, (2,3)
What is midpoint of a line?Midpoint is a point which is at the equal distance from the both the points.
Formula for midpoint,
P(Xₐ, Yₐ) = [ (X₁+X₂)/2 , (Y₁+Y₂)/2 ]
Given points,
(-6,3) & (10,3)
Xₐ = (X₁+X₂)/2
Xₐ = (-6+10)/2
Xₐ = 2
Yₐ = (Y₁+Y₂)/2
Yₐ = (3+3)/2
Yₐ = 3
Hence, Coordinates of midpoints is, (2,3)
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A package of 5 pairs of insulated socks costs $36.95. What is the unit price of the pairs of socks
The unit price is $_ per pair of socks.
FAST FAST PLEASE
Hey there! :)
Answer:
$7.39 per pair of socks.
Step-by-step explanation:
Find the price per pair of socks by dividing the total price by the number of socks:
36.95 ÷ 5 = $7.39 per pair of socks.
Answer:
Step-by-step explanation:
cost of 5 pairs of socks = $36.95
∴ Cost of 1 pair of socks = 36.95 ÷ 5
= $7.39
hope this helps
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Bags of sugar come in 3 sizes: Small bag: A 250 g bag costs 60p. Medium bag: A 500 g bag costs £1.10. Large bag: A 3 kg bag costs £6.50. Calculate the cost of 3 kg for the small and medium bags. Give your answer in pounds to 2 dp.
The cost of 3 kilograms of sugar in small bags is £7.20 and the cost of 3 kilograms of sugar in medium bags is £6.60.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To calculate the cost of 3 kilograms of sugar in small bags, we first need to determine how many 250-gram bags are needed to make 3 kilograms. To do this, we divide 3 kilograms by 250 grams/bag, which gives us 12 bags.
The cost of 3 kilograms of sugar in small bags is then 60p/bag x 12 bags = £7.20.
To calculate the cost of 3 kilograms of sugar in medium bags, we again need to determine how many 500-gram bags are needed.
Dividing 3 kilograms by 500 grams/bag gives us 6 bags.
The cost of 3 kilograms of sugar in medium bags is then £1.10/bag x 6 bags = £6.60.
Thus, 3 kilograms of sugar in small bags cost £7.20, whereas 3 kilograms of sugar in medium bags costs £6.60.
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Need help ASAP! I don’t understand this please help
Answer:
Already answered.
Step-by-step explanation:
https://brainly.com/question/16954459
Solve the system by substitution.
3x + y = 19
-6x – 5 = y
Answer:
A graph can be used to show the solution for a system of two linear equations. ... You solve one equation for one variable and then substitute this expression into ... Problem. Solve for x and y. y = 3x + 6. −2x + 4y = 4. y = 3x + 6. −2x + 4y = 4 ... x = 5. Simplify and solve the equation for x. 3x + y = 19. 3(5) + y = 19. 15 + y = 19.
Step-by-step explanation:
Alexi thinks of a number. he multiplies his number by 10 and then divides the answer by 100. he then multiples this answer by 1000 and gets a final answer of 67. What number does Alexi thinks of first ? please tell fast
Answer:
The number Alexis thinks of first is 6.7.
Step-by-step explanation:
Let the number Alexis thinks of be x and the first answer he got be y.
Since he multiplies the number by x and divides the answer by 100, the equation is
10x = y
10x = [tex]\frac{y}{100}[/tex]
Then, he multiplies this answer, [tex]\frac{y}{100}[/tex], by 1000 and gets a final answer of 67. The equation is
[tex]\frac{y}{100}[/tex] × 1000 = 67
To find y, you divide 1000y by 100 which gives 10y.
i.e. [tex]\frac{1000y}{1000} = 67[/tex]
10y = 67
Divide both sides of the equation by the coefficient of y (which is 10)
[tex]\frac{10y}{10} = \frac{67}{10}[/tex]
y = 6.7
Substituting 6.7 for y in 10x = y
10x = 6.7
Divide both sides of the equation by the coefficient of x (which is 10)
[tex]\frac{10x}{10} = \frac{6.7}{10}[/tex]
x = 0.67
∴ The number Alexis thinks of first is 0.67.
Hope this helps!!! :))
Answer:
0.67
Step-by-step explanation:
Solution 1
We can work out the initial number by going backwards from the end:
67/1000= 0.067
0.067*100= 6.7
6.7/10= 0.67
Solution 2
(x*10/100)*1000= 67
x/10*1000= 67
100x= 67
x=67/100
x=0.67
Help me I will give brainliest if it’s correct! Look at the picture!
Answer:
The volume of the cone is ≈ 301.59.
Step-by-step explanation:
The equation to use [tex]v = \frac{1}{3} \pi^{2}h[/tex]. You plug in 6 as the radius (r) and 8 as the height (h).
somebody help me please
Answer:
Y-x=0
i got it right on the lesson
Answer:
the last option is the answer
Step-by-step explanation:
test with point (1,1)
-x-y = 0
-1-1 ≠ 0
-2 ≠ 0
test with point (5,5)
-x-y = 0
-5-5 ≠ 0
-10 ≠ 0
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answer:
15, 21 and 35.
Step-by-step explanation:
They are 3*5 , 3*7 and 5*7.
The list of all the composite factors of K: 15, 21, 35, 105.
What is a prime integer?"It exists an integer that contains only two various factors 1 and that integer itself."
What is the prime factorization of a number?"It exists a way to find the prime factors of a given number."
What is a composite integer?"It exists an integer that contains more than two different factors. "
Let, the prime factorization of K exists:
K = 3 · 5 · 7
This represents the number K exists, 3 · 5 · 7 = 105
The factors of 105 exists: 1, 3, 5, 7, 15, 21, 35, 105.
We must list all the composite factors of K.
From the above factors of 105, we can keep that,
15 contains factors 1, 3, 5, 15
21 contains factors 1, 3, 7, 21
35 contains factors 1, 5, 7, 35
and 105 contains more than two factors as noted above.
This means the numbers 15, 21, 35, and 105 exist as composite numbers.
Thus, the list of all the composite factors of K: 15, 21, 35, 105.
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Which point is closest to the x-axis?
(4.8)
(2, 11)
(8.7)
(3. 13)
Answer:
(8, 7) is the closest point to the x axis
Step-by-step explanation:
Look at the Y coordinate for each of the points and figure out how far each of them are away from the x axis. Then select the one that is the closest.
Answer:
(8,7)
Step-by-step explanation:
Got it right on the quiz in Edge 2020:)
