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3 years ago

Find the area of a rectangle whose length is represented by 2x - 3 and whose

Mathematics

1 answer:

antoniya [11.8K]3 years ago

8 0

Answer:

area = 8x^2 - 2x - 15

Step-by-step explanation:

area = length x width

area = (2x-3) x (4x+5)

area = 8x^2 + 10x - 12x - 15

reduce:

area = 8x^2 - 2x - 15

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If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

zubka84 [21]

Answer:

x = $\frac{22}{3}$

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 6 when x = 2, then

- 6 = 2k ( divide both sides by 2 )

- 3 = k

y = - 3x ← equation of variation

When y = - 22, then

- 22 = - 3x ( divide both sides by - 3 )

x = $\frac{-22}{-3}$ = $\frac{22}{3}$

8 0

3 years ago

If you invested $250 at 16% interest, how much would you have after 18 years?

nirvana33 [79]

Answer:

4,000

Step-by-step explanation:

8 0

3 years ago

Solve this in distributing -(5.3x-7y)-9.6

algol13

Answer:

$-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y$

Step-by-step explanation:

Given the expression

$-\left(5.3x-7y\right)\times \left(-9.6\right)$

$=-\left(-9.6\right)\left(5.3x-7y\right)$

Apply distributive law

$a\left(b-c\right)=ab-ac$

$a=-\left(-9.6\right),\:b=5.3x,\:c=7y$

so the expression becomes

$=-\left(-9.6\right)\times \:5.3x-\left(-\left(-9.6\right)\right)\times \:7y$

$=-\left(-9.6\right)\times \:5.3x+7\left(-9.6\right)y$ ∵ $-\left(-a\right)=a$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a$

$=9.6\times \:5.3x-7\times \:9.6y$

$=50.88x-7\times \:9.6y$

$=50.88x-67.2y$

Therefore,

$-\left(5.3x-7y\right)\left(-9.6\right)=\:50.88x-67.2y$

3 0

3 years ago

I NEED HELP ASAP IT IS DUE IN 5 minutes <br> 3/4 times x + 7 = -5

yawa3891 [41]

Answer:

-16

Step-by-step explanation:

(3/4)x+7=-5

(3/4)x=-12

x=-12(4/3)

x=-16

3 0

3 years ago

an art class has 18 students and 1/3 of the students are painting. how many of the students in the class are painting?

Radda [10]

Answer:

Step-by-step explanation:

18÷1/3 is 6

5 0

4 years ago

Read 2 more answers