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tangare [24]
3 years ago
7

Solve each equation and check your solution5y-4=9y+8

Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0
5y-4=9y+8

Subtract 5y from both sides
-4=4y+8

Subtract 8 from both sides
-12=4y

Divide both sides by 4
-3=y

Check by plugging it in:
5(-3)-4=9(-3)+8
-15-4=-27+8
-19=-19
True

Final answer: y=-3
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(ASAP PICTURE ADDED) What is the simplified form of the following expression?
bonufazy [111]

Answer:

option c is correct.

Step-by-step explanation:

7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)

WE need to simplify this equation.

Solve the parenthesis of each term.

=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right

Now, We will find factors of the terms inside the square root

factors of 2: 2

factors of 16 : 2x2x2x2

factors of 8: 2x2x2

Putting these values in our equation:=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)

Adding like terms we get:

=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\

(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)

So, option c is correct

5 0
3 years ago
Read 2 more answers
What is the answer for 7-2(8/2)+9
photoshop1234 [79]
7-2( \frac{8}{2} )+9 =

Remove parentheses:

7-2* \frac{8}{2} +9 =

7 - 2 * 4 + 9 =

7 - 8 + 9 =

= -1 + 9

= 8

hope this helps!



6 0
3 years ago
Evaluate p2m−(np+r) if m=−32 , n=2 , p=−8 , and r=4
harkovskaia [24]
When you evaluate the equation you plug in the numbers or replace the variables with the numbers it’s giving you.
-8(2)(-32) - 2(-8) + 4
-16(-32) - 16 + 4
512 + 20
= 532
Hope this helps!
8 0
3 years ago
The area of a circle (A) is given by the formula A= pi*r to the second power, where r is the radius. The formula to find r is _.
podryga [215]

Answer:

<u>The correct option for the first blank is A. (A/pi) to the power of 1/2</u>

<u>The correct option for the second blank is A. 4.15</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Area of a circle (A) = π * r², where r = radius

2. The formula to find r is ________________:

A = π * r²

r² = A/π

√r² = √ A/π

r =  √A/π

<u>r =  A/π∧(1/2) or  (A/pi) to the power of 1/2. </u>

<u>The correct option for the first blank is A. (A/pi) to the power of 1/2</u>

3. if A = 54 centimeters squared, and pi = 22/7, r is _ centimeters.

We use the formula we got for the first blank, this way:

r =  (A/pi) to the power of 1/2

Replacing with the real values, we have:

r = (54/(22/7)) to the power of 1/2

r = 17.2 to the power of 1/2

r = √17.2 = 4.15 (Rounding to the next hundredth)

<u>The correct option for the second blank is A. 4.15</u>

3 0
3 years ago
A group of 5 people paid for general admission to the museum. Some of the people also bought movie tickets. The whole group spen
sashaice [31]

Answer:

5 k + x m   = 108   is the needed equation.

k  : Cost of 1 general admission ticket

x  : Number of movie tickets purchased.

m : cost of 1 movie ticket.

Step-by-step explanation:

The number of people who visited the museum = 5

The total amount spent on general admission and movie tickets  = $108

x : the number of movie tickets purchased

Let us assume the cost of each ticket  = $ m

So, the cost of x tickets  = x ( cost of 1 ticket) = x ( $m) = m x  

Also, the general admission amount  for 1 person  = $ k

⇒ General admission amount for 5 people  = 5 x ( $k)  = 5 k

So, according to the question:

The general admission + Amount +  cost of x movie tickets  = $ 108

$ 5 k + x m   = 108

So, here: 5 k + x m   = 108

k: Cost of 1 general admission ticket

x: Number of movie tickets purchased.

m : cost p=of 1 movie ticket.

Hence, the needed  equation is  5 k + x m   = 108.

3 0
4 years ago
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