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3 years ago

Which expressions are equivalent?

Mathematics

1 answer:

Tom [10]3 years ago

8 0

Answer:

-18e +3f-24

-24 -18e +3f

Step-by-step explanation:

-3/4 (32+24e-4f)

Distribute the -3/4

-3/4 * 32 + -3/4 *24e + -3/4 *-4f

-24 -18e +3f

We can rearrange the order

-18e +3f-24

-24 -18e +3f

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Can someone pls help me with this?! I’m stumped lol

forsale [732]

Answer:

$3.50
24

Step-by-step explanation:

The graph shows you the value stored on the card dropped by $14 when Gina rented 4 videos. Thus the cost of each one is ...

... $14/4 = $3.50

Gina now has $84 on the card, so can rent an additional ...

... $84/$3.50 = 24 . . . . videos

_____

Division is a way to do "repeated subtraction." That is, if we were to subtract $3.50 from $84 repeatedly, we would find we could do it 24 times.

6 0

4 years ago

Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?

8_murik_8 [283]

Answer: $(-\infty, 8)$

Step-by-step explanation:

Given the following inequality:

$0.35x - 4.8 < 5.2 -0.9x$

You need to solve for "x" in order to find the solution.

The steps are:

1. Add $0.9x$ to both sides of the inequality:

$0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8$

2. Add $4.8$ to both sides:

$1.25x-4.8+4.8$

3. Divide both sides by $1.25$ :

$\frac{1.25x}{1.25}$

Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

$(-\infty, 8)$

8 0

3 years ago

Read 2 more answers

Line WX is parallel to line YZ. if m

Nikitich [7]

X = 84

————————————————

5 0

3 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

Explanation

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

4 years ago

Read 2 more answers

What is 5/6 + 3/8 in the simplest form

zlopas [31]

5/6 + 3/8

Convert to denominators of 24:

20/24 + 9/24

Add the numerators:

29/24

Convert to mixed number:

1 5/24

3 0

4 years ago

Read 2 more answers