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2 years ago

28 + 2A = 5A + 7 Please explain thank you!

1 answer:

3 0

First you need to get x on one side of the equation and to do that subtract 2a from both sides.
28 + 2a = 5a + 7
-2a -2a
28=3a+7

Then we need to get a alone by subtracting 7 on both sides.
28=3a+7
-7 -7
21=3a

Finally divide each side by 3 and you should get a = 7. Hope this helps!

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Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.

Nataly [62]

Answer: $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

$z (x) = 0.55x + 500$

We wish that $z (x) = 750$ .

Then we equate the equation to 750 and solve for the variable x.

$0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250$

$\frac{0.55}{0.55}x = \frac{250}{0.55}$

$x = \$\ 454.55$

Total sales made by Tito must be $454.55

7 0

2 years ago

80 houses are build 50 have 2 car garage 40 have swimming pool and 35 have bouth how much have none

kow [346]

30 should be the correct answer

4 0

2 years ago

1 L of a 78% acid solution was mixed with 6 L of a 64% acid solution. Find the concentration of the new mixture.

JulijaS [17]

The first solution contributes 0.78*1 = 0.78 L of acid.

The second contributes 0.64*6 = 3.84 L of acid.

There will be 7 L total of the new solution, and 3.84 + 0.78 = 4.62 total L of acid in it. So the new solution has a concentration of 4.62/7 = 0.66, or about 66%.

8 0

3 years ago

Help me in all of these,plz show your work

jenyasd209 [6]

To find the area of all of the figures, all you need to do is base x height or the length x width.
Your answers for 1-6 are all correct.
For 7-9, remember that the area is the length times the width.
7) length x width, 42 x 30=1260
8) 17 x 22= 374
9) Since the length and width are the same in a square just multiply the side by itself. 2.7 x 2.7= 7.29
Hope this helps.

5 0

2 years ago

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

$=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2$

Answers are :option A and D

4 0

2 years ago