There is a pair of parallel sides in the following shape.

What is the area of the shape?

Answer:

2/5x

Step-by-step explanation:

The equation of a line in slope intercept form:

y = mx + b, where m is the slope and b is the y-intercept.

1) Rearrange the terms so it matches y = mx + b. In this case, it is already rearranged.

5y = 2x - 15

2) Divide the terms by 5.

y = 2/5x - 3

Answer:

2/5 is the slope of the line 5y = 2x - 15

Step-by-step explanation:

y = mx + b

                 m = slope

                  b = y-intercept.

5y = 2x - 15

Divide  both sides  by 5.

y = 2/5x - 3

  2/5 =m

2/5=slope

Answer:

B

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{\frac{a}{b} }[/tex] × [tex]\sqrt{\frac{c}{d} }[/tex] = [tex]\sqrt{\frac{ab}{cd} }[/tex] , then

[tex]\sqrt{\frac{3x}{2} }[/tex] × [tex]\sqrt{\frac{x}{6} }[/tex]

= [tex]\sqrt{\frac{3x^2}{12} }[/tex]

= [tex]\sqrt{\frac{3x^2}{3(4)} }[/tex]

= [tex]\sqrt{\frac{x^2}{4} }[/tex]

= [tex]\frac{\sqrt{x^2} }{\sqrt{4} }[/tex]

= [tex]\frac{x}{2}[/tex]

Answer:

D) An environmental nonprofit organization uses copyrighted images on the donation portion of its website.

Answer:

monomial

Step-by-step explanation:

monomial eg 14 , x , 15x , -50 , -70x

Option A

Here is a story problem that can go with this:

There was [tex]\frac{3}{4}[/tex] of the cake left after the party. Matthew ate [tex]\frac{2}{6}[/tex] of the leftover cake. How much of the cake did Matthew have?

Answer:

See below ↓

Step-by-step explanation:

There were 24 ice cream cones of different flavors for sale. Marcos buys 3/4 of them and Angelo buys 2/6 of them from Marcos. What is the fraction of the flavors Angelo bought?

According to the information, the year Darryl and his family arrived in the city was 2001.

To calculate what year Darryl and her family moved to this city, we need to replace the value of x with the year they moved and the result should be 133.

According to the above, 11 years passed from 1990 to the year in which Darryl and his family moved to the city, that is, the year 2001.

Note: This question is incomplete because the options and image are missing. Here is the complete information:

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Answer:

Step-by-step explanation:

7 / 15 ≈ 0.47Explanation:1) Probability = number of positive outcomes / number of possible outcomes2) Positive outcomesMultiples of 5: 5, 10, and 15Multiples of 3: 3, 6, 9, 12, 15.Different outcomes (cancel the repetitions): 3, 5, 6, 9, 10, 12, and 15.Number of different positive outcomes: 73) Number of possible outomes: 154)

 Probability = 7 / 15 ≈ 0.47

Answer:

y-5=3(x-2) is point slope form. y-y1=m(x-x1) is the general equation for point slope.

Ed must give Fay a total of £45 for both to have the same amount of money.

Total = £330

= 11

Ed share = 7/11 × 330

= £210

Fay share = 4/11 × 330

= £120

For Ed and Fay to have the same amount of money, their share must be exactly half of £330.

That is, they must each have £330/2

= £165

Fay:

£165 - £120 = £45

Therefore, Ed must give Fay a total of £45 for both to have the same amount of money.

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#SPJ1

Answer: It should be -(x - 2)

Step-by-step explanation:

the reason is this right here

y - y1 = m(x - x1)

y1 = 4

x1 = 2

m = -1

y - 4 = -(x - 2)

point-slope form: y-y₁ = m (x-x₁)

=============

slope-intercept form: y = mx + b

============

Answer:

I think the 2nd and the forth

Answer:

x + 1, y - 4

Step-by-step explanation:

Look at a point on EFGH, then its corresponding point on E'F'G'H'. Taking E, you can see that E' is one to the right and four down from it.

If you want it in math terms instead of visual ones, you can see that E is (-1, 1) and E' is (0, -3). How do you get from (-1, 1) to (0, 3)? You add 1 to x and subtract 4 from y. You can then go through all 4 points and see this is the relationship between all of them! :-)

Answer:

a < 16

Step-by-step explanation:

We must get a alone to solve this. So first multiply by 2

3a/2 < 24

*2

3a < 48

Divide by 3

a < 16

Answer:

Hope it helps you.......

Answer:

.6

Step-by-step explanation:

We want to get the denominator to 10

3/5 * 2/2 = 6/10

The decimal equivalent is

.6

Answer:

Angle F = 140°

Step-by-step explanation:

Add up all the angles and set it equal to 720°

x-20+x-40+x-60+130+120+110=

720

Add the x's together. And the numbers together.

3x - 120 + 360 =720

3x + 240 = 720

Subtract 240.

3x = 480

Divide by 3.

x = 160

Now find Angle F.

F = 160 - 20

F = 140°

Answer:

40 is answer follow me I give you the answer

Answer:

40 i think

Step-by-step explanation:

Step-by-step explanation:

[tex] = 8x > 48[/tex]

Now , divide both side by the same number...

[tex] = 8x \div 8 > 48 \div 8[/tex]

[tex] = x > 6[/tex]

22/7 lord to the nearest hundreds. 

Step-by-step explanation:

yes the volume and use 3.14 for PI is 22/7 lord to the nearest hundreds. 

Answer:

26-36

Step-by-step explanation:

If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.

Hope this helps! :)

Explanation:

The left and right edges of the box represent Q1 and Q3 respectively

Q1 = first quartile

Q3 = third quartile

The boxplot shows Q3 = 54

The span from Q3 to the max represents exactly 25% of the population.

Take 25% of the 23 employees

0.25*23 = 5.75

Rounding to the nearest whole number leads to 6.

1.625 more handfuls

To start, we know that Norma ate 3 handfuls

n (Norma) = 3

Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls

b (Brennan) = 1.375

To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.

An equation for this (if it helps) would be

n - b = x

To solve, substitute the values to find x

In conclusion, Norma ate 1.625 more handfuls than Brennan

Tossing of the coin by Jerry is an illustration of probability

The coin is not a fair coin

The sample space of a toss of coin is:

S = {H, T}

This means that the probability of head is:

P(H) = 0.5

In 100 toss, the expected number of heads is:

E(x) = 0.5 * 100

E(x) = 50

This means that the number of head in 100 toss should be close to 50

5 head in 100 tosses is not close to the expected value

Hence, the coin is not a fair coin

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We study if the composition of both functions equals the identity ("x") that is if f(g(x)=x

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what f(g(x))  renders. Notice as well that the same verification could be done by examining g(f(x) .

Let's work with f(g(x).

[tex]f(g(x)=f(\dfrac{1}{5}+5)\\\\f(g(x)=5(\dfrac{1}{5}x+5)-25\\\\f(g(x)=x+25-25\\\\f(g(x)=x[/tex]

So we see that the composition of both functions indeed renders "x", and that way we have verified that one is the inverse of the other.

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The length restrictions for each fabric are described by the following inequalities:

0 ≤ n ≤ 16.67 yd

0 ≤ n ≤ 18.75 yd

In this question we notice that the quantity of yards of fabric (n) is directly proportional to the cost (C). First, we should derive the formulae based on the information contained in tables:

C = 9 · n     (1)

C = 8 · n     (2)

Now we proceed to determine the maximum possible amount of fabric:

n = 150/9

n = 16.67 yd

n = 150/8

n = 18.75 yd

The length restrictions for each fabric are described by the following inequalities: (Please notice that length is a positive real variable)

0 ≤ n ≤ 16.67 yd

0 ≤ n ≤ 18.75 yd

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The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.

The insurance premium is paid as a cost to cover a possible loss that is unseen.

The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.

From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40

The amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more

= 1.15 × $161

= $185.15

Therefore,

The amount more Bernard has to pay = $185.15 - $161

= $24.15 ≈ $24

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Answer:

b

Step-by-step explanation:

If the value of c is negative then zero pairs are required to mimic the polynomial factorization.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

If you are using algebra tiles to factor a trinomial of the form

[tex]\rm ax^2 + bx + c[/tex]

If the value of c is negative, zero pairs are required to mimic the polynomial factorization.

The constants in the factors are determined by the x-tiles on the board.

Because the product of these constants equals the value of c, you'll need positive x-tiles on one side and negative x-tiles on the other side of the x-squared tile to have opposite signs on the constants.

When multiplying the components, opposite signs on the constants will result in a negative value for c.

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Answer:

Sample Response: If the value of c is negative, you would need zero pairs to model the factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors. The product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants. Opposite signs on the constants will result in a negative value for c when multiplying the factors.

Step-by-step explanation: