HELP ASAPPPP!!!!!!!
1. In the figure below, ABC ~ PQR. If the area of ABC is 40 cm2, what is the area of PQR? Show your work.
Answers
Answer:
[tex]90cm^2[/tex]
Step-by-step explanation:
The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.
The scale factor from ABC to PQR is [tex]k=\frac{6}{4}=1.5[/tex]
The area of triangle PQR will change by [tex]k^2=1.5^2=2.25[/tex] centimeters square.
Since we know the area of triangle ABC to be [tex]40cm^2[/tex], the area of triangle PQR [tex]=2.25\times 40=90cm^2[/tex]
Answer:
The area of the triangle PQR is 90 cm^2.
Step-by-step explanation:
We are given two triangles, ABC and PQR, which are similar to each other.
If two triangles are similar, then the ratio of their areas is the square of the ratio of their sides.
Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.
Finding the scale factor [tex]k=\frac{6}{4} =1.5[/tex]
So square of this scale factor will be [tex]k^2=(1.5)^2=2.25[/tex]
Area of triangle PQR = [tex]2.25 \times 40[/tex] = 90cm^2
Related Questions
1) An apple drops off the apple tree from a height of 8 feet. How long does it take the apple to reach the ground? Use the function f(x) = -16x^2 + c, where c is the initial height of a falling object, to find the answer.
2) Trinette cut a square tablecloth into 4 equal pieces that she used to make two pillow covers. The area of the tablecloth was 3600 square inches. What is the side length of each piece Trinette used to make the pillow covers?
3) Elton earns x dollars per hour at the bookstore. His mother, Evelyn, earns x^2 dollars per hour as a career counselor. Twice Evelyn's wage equals $84.50. What is Elton's hourly wage? Round you answer to the nearest cent.
Answers
Answer:
Part 1) [tex]\frac{\sqrt{2}}{2}\ sec[/tex] or [tex]0.7\ sec[/tex]
Part 2) The side length of each piece Trinette used to make the pillow covers is [tex]30 in[/tex]
Part 3) Elton's hourly wage is [tex]\$6.50[/tex]
Step-by-step explanation:
Part 1)
Let
x------> the time in seconds
we have
[tex]f(x)=-16x^{2}+c[/tex]
In this problem the initial height is 8 ft
so
[tex]f(x)=-16x^{2}+8[/tex]
To find how long does it take the apple to reach the ground, equate the function to zero and solve for x
[tex]0=-16x^{2}+8[/tex]
[tex]16x^{2}=8[/tex]
[tex]x^{2}=1/2[/tex]
[tex]x=\frac{\sqrt{2}}{2}\ sec[/tex]
[tex]x=0.7\ sec[/tex]
Part 2)
step 1
The area of a square tablecloth is
[tex]A=3,600\ in^{2}[/tex]
Divided by 4
[tex]3,600/4=900\ in^{2}[/tex]
step 2
Find the length of each piece
[tex]A=b^{2}[/tex]
so
[tex]900=b^{2}[/tex]
[tex]b=30 in[/tex]
Part 3)
we know that
[tex]2x^{2} =84.50[/tex]
solve for x
[tex]x^{2} =42.25[/tex]
[tex]x=\sqrt{42.25}[/tex]
[tex]x=\$6.50[/tex]
Solve the equation.
8 (4 - x) = 7x + 2
Answers
Answer:
2
Step-by-step explanation:
8 ( 4 - x ) = 7x + 2
(Expand brackets
32 - 8x = 7x + 2
(-7x from both sides)
-15x = -30
(Divide by -15 from both sides)
x=2
Answer:
x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2
Distribute the 8 on the left side.
32 - 8x = 7x + 2
Subtract 7x from both sides.
32 - 15x = 2
Subtract 32 from both sides.
-15x = -30
Divide both sides by -15.
x = 2
Triangle ABC undergoes a series of transformations to result in triangle DEF .
Is triangle DEF congruent to triangle ABC ?
Select Congruent or Not congruent for each description.
Answers
question 1 is congruent. 2 is not congruent and 3 is congruent
Answer: 1) Congruent
2) Not congruent
3) Congruent
Step-by-step explanation:
We know that a rigid transformations preserves side-lengths and angle measures of a figure in such a way that the figure doesn't shrink or get enlarger. It creates congruent figures.
The three main rigid transformations are:a) reflections, b) rotations, c) translations
On the other hand a dilation changes the size of the image when the scale factor is not equal to 1. It does not produces congruent images.
Find the roots of the quadratic function by completing the square: x^2 + 4x - 1 = 0
Answers
Answer:
x = - 2 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² + 4x - 1 = 0 ( add 1 to both sides )
x² + 4x = 1
To complete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(2)x + 2² = 1 + 2² ← complete the square on the left side
(x + 2)² = 5 ← take the square root of both sides
x + 2 = ± [tex]\sqrt{5}[/tex] ← subtract 2 from both sides
x = - 2 ± [tex]\sqrt{5}[/tex]
roots are x = - 2 - [tex]\sqrt{5}[/tex] or x = - 2 + [tex]\sqrt{5}[/tex]
Final answer:
To find the roots of the quadratic function x² + 4x - 1 = 0, the equation is rearranged, a perfect square is formed by adding (b/2)² to both sides, and the square root is taken to obtain the solutions x = √{5} - 2 and x = -√sqrt{5} - 2.
Explanation:
To find the roots of the quadratic function x² + 4x - 1 = 0 by completing the square, we need to follow a series of steps:
First, we'll arrange the equation so that the x-squared and x terms are on one side, leaving the constant on the other side. In this case, we add 1 to both sides to obtain x² + 4x = 1.
Next, we find the number that needs to be added to x^2 + 4x to make it a perfect square trinomial. This number is (b/2)², where b is the coefficient of x. Here, b is 4, so we need to add (4/2)² = 4 to both sides.
Our equation now reads x² + 4x + 4 = 5. Notice that the left-hand side is a perfect square, as it can be written as (x+2)².
Finally, we take the square root of both sides, giving us x + 2 = √{5} or x + 2 = -√{5}. Therefore, the solutions are x = √{5} - 2 and x = -√{5} - 2.
To check our solutions, we could substitute them back into the original equation and ensure that the left side equals zero.
if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4)
Answers
Answer:
Part 1: Find (f/g)(4) = 3
Part 2: Find (f+g)(4) = 28
Step-by-step explanation:
Part 1: Find (f/g)(4):
(f/g)(4) means divide f function by g function and simplify it. Then plug in 4 into x of that simplified function.
Let's do this:
[tex]\frac{x^2+2x-3}{x^2-9}\\=\frac{(x+3)(x-1)}{(x-3)(x+3)}\\=\frac{x-1}{x-3}[/tex]
Plugging in 4 into x gives us:
[tex]\frac{x-1}{x-3}\\=\frac{4-1}{4-3}\\=\frac{3}{1}\\=3[/tex]
The answer is 3
Part 2: Find (f+g)(4):
(f+g)(4) means add f function and g function and simplify it. Then plug in 4 into x of that simplified function.
Let's do this:
[tex](x^2+2x-3)+(x^2-9)\\=2x^2+2x-12[/tex]
Plugging in 4 into x gives us:
[tex]2x^2+2x-12\\=2(4)^2+2(4)-12\\=28[/tex]
The answer is 28
Answer: the first one is -11 and the second one is 0
step-by-step explanation:
someone answered your question but it was wrong so i had too guess and got the real answers since you know ... i ended up getting it wrong lol so yea
What is the measure of 1
76
92
118
88
Answers
Answer:
[tex]m<1=92\°[/tex]
Step-by-step explanation:
we know that
The sum of the interior angles in a quadrilateral must be equal to 360 degrees
so
[tex]62\°+92\°+114\°+m<1\°=360\°[/tex]
solve for the measure of angle 1
[tex]268\°+m<1\°=360\°[/tex]
[tex]m<1=360\°-268\°=92\°[/tex]
Answer:
The answer is
B. 92 degrees.
Step-by-step explanation:
One way to determine if a given point is on the graph of a linear equation is by checking to see if it is a solution to the equation true or false
Answers
Find the slope or the y-intercept.
There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mixed to make 1000 gallons with 10% alchol
Answers
Answer:
to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.
Step-by-step explanation:
According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.
We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:
A + B = 1000 gallons. [1]
0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]
(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).
Solving the system of equations:
A + B = 1000 ⇒ A = 1000 - B [3]
[3] → [2]
0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100
⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]
[4] → [1]
A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7
Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'
Interest in the trainings offered at the pet shelter decreased from summer to winter. This change can be represented as -83. What is the absolute value of -83?
Answers
It would be 83.
Reason it 83 units away from 0.
I hope this helps :)
Answer:
83
Step-by-step explanation:
Find the equation of the circle in standard form for the given center (h, k) and radius r: (h, k) = (0, 0), r = 4
Answers
Answer:
[tex]x^2+y^2=16[/tex]
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by the formula;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Given (h,k)=(0,0) and r=4, we substitute the values to obtain;
[tex](x-0)^2+(y-0)^2=4^2[/tex]
The required equation is
[tex]x^2+y^2=16[/tex]
The standard form of the equation for a circle centered at the origin with a radius of 4 is x2 + y2 = 16.
The equation of a circle in standard form with the center at the origin (0, 0) and a radius of 4 is given by x2 + y2 = r2, where x and y are the coordinates of any point on the circle, and r is the radius.
Plugging the given radius into the equation, we have x2 + y2 = 42. Simplifying this, we get the equation x2 + y2 = 16. This is the standard form of the equation for the given circle.
Tabitha earns $7 per hour working at the mail. Last week, she worked for 12 1/4 hours. Which best describes how much money she earned?
A- a little less than $65
B- a little less than $77
C- a little less than $84
D- a little less than $90
Answers
Answer:
D
Step-by-step explanation:
7 * 12 = 84
And 1/4 hours which is 7/4 which is $1.25 more.
So she got 85.25 dollars in total, which is a little less than $90.
What is the total amount of sap the trees produced that day
Answers
Answer:
wrong its 5gallons
Step-by-step explanation:
So please explain this including the formula please i will give 98 points!!
Answers
Answer:
V =20.4 in^3
Step-by-step explanation:
The formula for volume of a triangular prism is
V = B *h
B is the area of the triangle which is 1/2 b*h
B = 1/2 (2.5) (3.4)
The height is 4.8 in
V = 1/2 (2.5) (3.4) * 4.8
V =20.4 in^3
Answer:
V =20.4 in^3 is your answer
Step-by-step explanation:
If the sphere shown above has a radius of 10 units, then what is the approximate volume of the sphere?
A.
400 cubic units
B.
1,666.67 cubic units
C.
666.67 cubic units
D.
1,333.33 cubic units
Answers
The approximate volume of the sphere is 4188.79 cubic units.
Calculating the volume of a sphere.
A sphere is a three-dimensional round object. The volume of a sphere can be calculated by using the formula [tex]\dfrac{4}{3} \pi r^3[/tex].
In the given question, the radius of the sphere is stated to be 10 units. So, the volume of the sphere can be determined by replacing the value of the radius into the equation. i.e.
[tex]V= \dfrac{4}{3}\pi r^3[/tex]
[tex]V= \dfrac{4}{3} \times \pi \times (10)^3[/tex]
V = 4188.79 cubic units.
Therefore, the approximate volume of the sphere is 4188.79 cubic units.
if the point (7,3) is on the graph of an equation, which statement must be true
i need help asap
Answers
If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
Answers
Answer: OPTION D.
Step-by-step explanation:
The formula for calculate the circumference of a circle is:
[tex]C=2r\pi[/tex]
Where r is the radius.
The formula for calculate the area of a circle is:
[tex]A=r^2\pi[/tex]
Where r is the radius.
Solve for r from [tex]A=r^2\pi[/tex] to calculate it:
[tex]r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft[/tex]
Subsitute the radius into [tex]C=2r\pi[/tex]. Then:
[tex]C=(2)(4.296ft)\pi=26.99ft[/tex]
Answer:
D. 26.99 ft
Step-by-step explanation:
The formula for area of a circle is
A = πr², where r is the radius. We are given A = 58, so plug that in to find r...
58 = πr² solve for r...
58/π = r² (divide both sides by π)
√(58/π) = r (take the square root of both sides)
now simplify...
(√58)/(√π) = r
[(√58)(√π)]/[(√π)(√π)] = r
[√(58π)]/π = r
The formula for circumference is C = 2πr, where r is the radius....so we have
C = 2π([√(58π)]/π) now simplify...
C = 2√(58π) (the 2 pi's cancel out)
C = 26.9972124 (crunch in your calculator)
What is the 9th term of the sequence? 3,-12,48,-192,
A. 786,432
B. -196,608
C. -786,432
D. 196,608
Answers
D, 196,608.
The sequence is multiplying by -4 every time.
Answer: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the 9th term of the following sequence :
3, -12, 48, -192, . . .
Let a(n) denote the n-th term of the given sequence.
Then, a(1) = 3, a(2) = -12, a(3) = 48, a(4) = -192, . . .
We see that
[tex]\dfrac{a(2)}{a(1)}=\dfrac{-12}{3}=-4,\\\\\\\dfrac{a(3)}{a(2)}=\dfrac{48}{-12}=-4,\\\\\\\dfrac{a(4)}{a(3)}=\dfrac{-192}{48}=-4,~~.~~.~~.[/tex]
So, we get
[tex]\dfrac{a(2)}{a(1)}=\dfrac{a(3)}{a(2)}=\dfrac{a(4)}{a(3)}=~~.~~.~~.~~=-4.[/tex]
That is, the given sequence is a GEOMETRIC one with first term a = 3 and common ratio d= -4.
We know that
the n-th term of an geometric sequence with first term a and common ratio r is given by
[tex]a(n)=ar^{n-1}.[/tex]
Therefore, the 9th term of the given sequence is
[tex]a(9)=ar^{9-1}=3\times(-4)^8=3\times 65536=196608.[/tex]
Thus, the 9th term of the given sequence is 196608.
Option (D) is CORRECT.
What is the answer to this question?
Answers
Answer: [tex]x\geq6[/tex]
Step-by-step explanation:
g°h indicates that you must plug the function h(x) into the function g(x) as you can see below:
[tex]g\°h=\sqrt{(2x-8)-4}[/tex]
Now you must simplify by adding like terms, as following:
[tex]g\°h=\sqrt{2x-12}[/tex]
By definition you have that:
[tex]2x-12\geq0[/tex]
Theen you must solve for x:
[tex]2x\geq12\\x\geq6[/tex]
Therefore, the domain is:
{[tex]x[/tex] ∈R:[tex]x\geq6[/tex]}
Then the answer is [tex]x\geq6[/tex]
Answer:
Restriction on the domain is x ≥ 6.
Step-by-step explanation:
We have given two functions.
g(x) = √x-4 and h(x) = 2x-8
We have to find the restrictions on the domain of (g o f).
(g o h)(x) = g(h(x))
(g o h)(x) = g(2x-8)
(g o h)(x) = √2x-8-4
(g o h)(x) = √2x-12
Hence, 2x-12 ≥ 0
2x ≥ 12
x ≥ 6
Hence, restriction on the domain is x ≥ 6.
(5-2i)+(3+4i)-(-6+2i)
Answers
Simplify
5 - 2i + 3 + 4i - (-6 + 2i)
Simplify brackets
5 - 2i + 3 + 4i + 6 - 2i
Collect like terms
(5 + 3 + 6) + (-2i + 4i - 2i)
Simplify
= 14
The equation (5-2i)+(3+4i)-(-6+2i) simplifies to 14 after adding real parts and imaginary parts separately, resulting in the complex number 14+0i which simplifies to 14.
Explanation:The student's question involves complex number addition and subtraction. To solve the equation (5-2i)+(3+4i)-(-6+2i), we combine like terms, which means separately adding the real parts and the imaginary parts of the complex numbers. The real parts are 5, 3, and 6 (because we subtract a negative, which becomes plus), which add up to 14. The imaginary parts are -2i, 4i, and -2i (again, subtraction of a negative becomes addition), which add up to 0i. Therefore, the final answer is 14+0i, which simplifies to 14.
Part 2
TOO PART 1 Please help me
Answers
Answer:
Part A) The volume of the ice cream scoop is [tex]36\pi\ in^{3}[/tex]
Part B) The melted ice cream won't fill the cup
Part C) The melted ice cream exceeds the volume of Anna's cup
Part D) The height of the smallest cylindrical cup is [tex]h=8\ in[/tex]
Step-by-step explanation:
Part A) Find the volume of the ice cream scoop
we know that
The volume of the sphere (ice cream scoop) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=3\ in[/tex]
substitute
[tex]V=\frac{4}{3}\pi (3)^{3}=36\pi\ in^{3}[/tex]
Part B) Find the volume of Anna's cylindrical cup
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=3\ in[/tex]
[tex]h=6\ in[/tex]
substitute
[tex]V=\pi (3)^{2}(6)=54\pi\ in^{3}[/tex]
[tex]54\pi\ in^{3}> 36\pi\ in^{3}[/tex]
The volume of Anna's cup (cylinder) is greater than the volume of melted ice cream scoop
therefore
The melted ice cream won't fill the cup.
Part C) Will two scoop of melted ice cream fit in Anna's cup?
Multiply the volume of ice cream scoop by 2 and compare with the volume of Anna's cup
so
[tex](2)36\pi\ in^{3}=72\pi\ in^{3}[/tex]
[tex]72\pi\ in^{3}> 54\pi\ in^{3}[/tex]
The volume of Anna's cup (cylinder) is less than the volume of two melted ice cream scoop
therefore
The melted ice cream exceeds the volume of Anna's cup
Part D) Find the smallest cylindrical cup that will hold two scoops of melted ice cream
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]V=72\pi\ in^{3}[/tex] ------> volume of two scoops of melted ice cream
[tex]r=3\ in[/tex]
substitute in the formula and solve for h
[tex]72\pi=\pi (3)^{2}h[/tex]
simplify
[tex]72=(9)h[/tex]
[tex]h=8\ in[/tex]
Lines A and B are represented by the equations given below: Line A: 6x + 6y = 24 Line B: x + y = 4 Which statement is true about the solution to the set of equations? (1 point) Select one: a. It is (24, 4). b. There are infinitely many solutions. c. It is (4, 24). d. There is no solution.
Answers
Answer:
I believe it is C
Step-by-step explanation:
since x+y=4 that could mean, 2+2=4 which means x and y has the same value, that is 2.
so if we make the equation
6(2)+6(2)= it WOULD equal to 24, and for that reason I think it is C.
(24,4)
Solve for x.
x = ___
Answers
Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
[tex]\frac{little}{big} =\frac{little}{big}[/tex].
[tex]\frac{36}{36 + 12}=\frac{24}{24 + 6x - 4}[/tex]
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]36(24 + 6x - 4)=(36+12)(24)\\36(6x + 20)=48(24)\\216x + 720 = 1152 \\216x = 432\\\frac{216x}{216}=\frac{432}{216} \\x = 2[/tex]
Nathan and Cody are both making pizza dough at different pizzerias. Nathan uses 3 cups of water for every 8 cups of flour. Cody uses 4 cups of water for every 12 cups of flour. Use tables of equivalent ratios to determine who will use more cups of water when Nathan and Cody each use 48 cups of flour.
A.
Nathan will use 8 cups of water and Cody will only use 5 cups of water, so Nathan will use more cups of water.
B.
Cody will use 16 cups of water and Nathan will only use 11 cups of water, so Cody will use more cups of water.
C.
Cody will use 8 cups of water and Nathan will only use 6 cups of water, so Cody will use more cups of water.
D.
Nathan will use 18 cups of water and Cody will only use 16 cups of water, so Nathan will use more cups of water.
Answers
Answer:explanation:
The answer is B because Nathan will use more cups
Answer:
D
Step-by-step explanation:
Nathan uses 3 cups of water for every 8 cups of flour. Cody uses 4 cups of water for every 12 cups of flour. Create tables of equivalent ratios for Nathan and Cody to find who uses more cups of water when each use 48 cups of flour.
When they each use 48 cups of flour, Nathan will use 18 cups of water and Cody will only use 16 cups of water, so Nathan will use more cups of water.
may somebody help me please
Answers
Answer:
The answer would be D because both ordered pair that was substituted in the equation didn't equal to each other.
Explanation:
All you do is substitute the x and y numbers. (x,y)
A:
Substitute the x and y number
7(2) - 5 = 4(4) - 6
Multiply the number in the parentheses by the outside number on both sides.
14 - 5 = 16 - 6
Subtract both sides to get your solution.
9 = 10
Doesn't equal so that means it's not the solution.
B:
Substitute
7(3) - 5 = 4(6) - 6
Multiply the number in the parentheses by the outside number on both sides.
21 - 5 = 24 - 6
Subtract both sides to get your solution.
16 = 18
It also doesn't equal so that means that it's not the solution either.
C:
Both ordered pair didn't equal to each other so this is not the answer.
Hope this helps!
The area of a square can be found using the equation A= s2, where A is the area and S is the measure of one side of the square. Match the equation for how to slice for the side length of a square to its description.
Answers
Answer: [tex]s = \sqrt{81}[/tex]
Step-by-step explanation: A= s^2, A = 81
81 = s^2
[tex]\sqrt{81} = \sqrt{s^{2} }[/tex]
s = [tex]\sqrt{81}[/tex]
Answer:
Option 2nd is correct
[tex]s = \sqrt{81}[/tex] inches
Step-by-step explanation:
The area of a square can be found using the equation:
[tex]A=s^2[/tex] ....[1]
where,
A is the area of square
s is the measure of one side of the square.
Given that:
A square has an area of 81 square inches.
⇒A = 81
Substitute in [1] we have;
[tex]s^2 = 81[/tex]
⇒[tex]s =\pm \sqrt{81}[/tex]
∵Side of square cannot be in negative.
⇒[tex]s = \sqrt{81}[/tex] inches
Therefore:
A square has an area of 81 square inches →[tex]s = \sqrt{81}[/tex] in
34) Apply the distributive property to simplify the expression. 5(3x − 7) A) 15x + 35 B) 15x − 35 C) −15x + 35 D) −15x − 35
Answers
Answer:
Answer:
B.
Explanation:
If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.
Step-by-step explanation:
Answer:
B. [tex]15x-35[/tex]
Step-by-step explanation:
We are asked to simplify the expression [tex]5(3x-7)[/tex] using distributive property.
Distributive property states that we can multiply a quantity to sum by multiplying each addend separately and then add the products as:
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
Using distributive property, we will multiply 5 by [tex]3x[/tex] and [tex]-7[/tex] as:
[tex]5\cdot 3x-5\cdot 7[/tex]
[tex]15x-35[/tex]
Therefore, the simplified form of the given expression would be [tex]15x-35[/tex] and option B is the correct choice.
Write this ratio as fraction in simplest form 20 ounces to 2 pounds
Answers
Answer:
10oz:1lb
Step-by-step explanation:
divide by two
Conner works 8 1/2 hours and earns $80.75. If Zoey makes an hourly rate that is proportional and earns $118.75, how many hours did she work? Plz show work:)
A. 8 1/2
B. 10
C. 12 1/2
D. 13
Answers
Answer:
Step-by-step explanation:
In 8 hours 30m Corner earns $80.75
In how many hours Zoey earns $118.75
Hours Zoey works= 510*118.75/80.75(converted 8hours into minutes by multiplying with 60)
Solving we get 12 hours 30m.
Beth had planned to run an average of 6 miles per hour in a race. She had a very good race and actually ran at an average of 7 miles per hour, finishing ten minutes sooner than if she had averaged 6 miles per hour. How long was the race? 6 miles? 7 miles? 18 miles? 60 miles? 70 miles?
Answers
Answer:
(x/7) = actual time
Step-by-step explanation:
Which table best represents the graph of the equation theta = 45 degrees
Answers
Answer: The first option.
Step-by-step explanation:
The function is:
θ(r) = 45°
so we have a constant function (because r does not apear in the right side of the equation), this means that for every value of r, we have that θ(r) is equal to 45 degrees.
then the correct answer is the first table, because for every value of r we have that the value of theta is the same.
Table 1 best represents the graph of the equation θ(r)= 45°.
It is given that
θ(r)= 45°, which is a constant function.
What is a constant function?For a constant function, the value of the dependent variable is the same for each value of the independent variable.
So, θ will remain constant for all values of r.
r =1, θ=45°
r =2, θ=45°
r=3, θ=45°
r=4,θ=45°
Therefore, Table 1 best represents the graph of the equation θ= 45°.
To get more about function visit:
https://brainly.com/question/2292795