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3 years ago

PS! ..-4(7a + 5) = -160

Mathematics

1 answer:

inn [45]3 years ago

3 0

4(7a + 5) = -160

mutiply the bracket by 4

(4)(7a)(4)(+5)= -160

28a+20= -160

move +20 to the other side

sign changes from +20 to -20.

28a+20-20= -160-20

28a= -180

Divide by 28

28a/28= -180/28

x= -180/28

reduce by dividing 4

-180/4= -45

28/4= 7

-45/7 or -6 3/7

Answer : x= -45/7 , x= -6 3/7

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Lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.

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Answer:

foreign stamps = 299

US stamps = 353

Step-by-step explanation:

Let number of foreign stamps be x.

Given she has 54 more U.S stamps than foreign , US stamps = x +54

Total stamps = US + Foreign

652 = x + 54 + x

652 - 54 = 2x

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2 years ago

What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)

UkoKoshka [18]

Answer:

$\boxed{m = - \frac{33}{14} }$

Step-by-step explanation:

Use the form below

$\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}$

Where

$m$ is a slope
$(x_1,~y_1)$ and $(x_2,~y_2)$ are the point of the line

So, the slope is

$(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1$

$(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}$

$m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }$

$m = \frac{\frac{11}{2} }{\frac{-7}{3} }$

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$m = \frac{11}{2} \times (-\frac{3}{7} )$

$m = - \frac{33}{14}$

Happy to help:)

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3 years ago

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The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

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Answer

b. 32 sq. unit

Step-by-step Explanation

The area of the trapezoid is given by

$A = \frac{1}{2} (b_{1} + b_{2}) \times h$

We substitute the given values into the formula to obtain;

$A = \frac{1}{2}(10 + 6) \times 4$

Simplify

$A = \frac{1}{2} (16) \times 4$

$A = 16 \times 2$
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$A = 36 \: sq \: units$

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3 years ago

The graph shows the height in inches, h, of a bamboo plant t months after it has been planted. Write an equation that describes

Komok [63]

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2 years ago

Which graph represents the function y = 2x – 4? A coordinate plane with a line passing through (negative 4, 0) and (0, 2). A coo

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Answer:

The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."

Step-by-step explanation:

Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.

For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.

For (0,-4): y = 2x - 4 becomes:

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For (2,0): y = 2x - 4 becomes:

$(0)=2(2)-4\\0=4-4\\0=0$ which is also a TRUE statement.

This option is the only one that verifies both given points as truly being part of the given line.

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2 years ago

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