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3 years ago

Indicate whether each equation is equivalent to this equation: 4x + 3 = 5/2x - 7

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

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Christopher can paint the interior of his house in 15 hours. if he hires cynthia to help him they can do the same job together i

jenyasd209 [6]

If Christopher can paint his whole house in 15 hours, then he can get 1/15 of the job done in a single hour. If he hires Cynthia to help and they get the job done together (the sum of their efforts) in 9 hours, they can get 1/9 of the job done in a single hour. We are looking for how long Cynthia would take to do it on her own. Remember we are adding their efforts together and setting that equal to the total, so the equation is $\frac{1}{15}+\frac{1}{x}=\frac{1}{9}$ . What we are going to do here, what makes the most sense in solving for x, is to move the term with x in it to the other side of the equation and move the 1/9 over by subtraction. $\frac{1}{15}-\frac{1}{9}=-\frac{1}{x}$ . Of course before we can subtract those 2 fractions we need a common denominator, which happens to be 45: $\frac{3}{45}-\frac{5}{45}=-\frac{1}{x}$ and $-\frac{2}{45}=-\frac{1}{x}$ . We will cross multiply to get 2x = 45 and divide to find that it takes Cynthia 22.5 hours to do the job if she had to do it alone.

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3 years ago

Please assist me with these problems using the 45-45-90 relationship triangles

TiliK225 [7]

Answer:

see below

Step-by-step explanation:

side opposite 90 angle = x $\sqrt{2}$

sides opposite 45 angle = x

the multiplication and division by $\sqrt{2}$ should be self explanatory

1. x = 5, y = 5

2. v = 10, u = 10

3. x = $\sqrt{10}$ , y = $\sqrt{5}$

4. m = 5, n = $\frac{5\sqrt{2} }{2}$

5. a = $\frac{3\sqrt{2} }{2}$ , b = $\frac{3\sqrt{2} }{2}$

6. a = $\frac{3\sqrt{2} }{2}$ , b = $\frac{3\sqrt{2} }{2}$

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4 years ago

What is the area of a sheet of binder paper? (Binder paper is 8 1/2 inches by 11 inches.)

11Alexandr11 [23.1K]

Area of a rectangle is the product of length times width. Thus, here we need the product of 8 1/2 inches by 11 inches.

One way of doing this follows: 8.5
8.5
----------
93.5 square inches

Rounding up, this comes out to 94 square inches.

Alternatively: 17 187
---- * 11 = ------- = 93.5 square inches; rounded, that's 94.
2 2

3 0

4 years ago

Which is greater: 75% of 56 or 114.8 divided by 2.8? Explain how you know.

Umnica [9.8K]

Answer:

Step-by-step explanation:

When you divide 75% and 2.8 you get 0.2678

When you divide 56 and 2.8 you get 20

When you divide 114.8 and 2.8 you get 41

So the greatest number divided by 2.8 is <em>114.8</em>

3 0

3 years ago

Bianca deposits $3,000 in a savings acct earning 4.25% simple interest per year.

murzikaleks [220]

Answer:

$637.50

Step-by-step explanation:

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

4 0

3 years ago