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oksian1 [2.3K]
3 years ago
12

How to simplify the expression 7x+15x

Mathematics
2 answers:
docker41 [41]3 years ago
7 0
Add like terms

7x + 15x = 22x
drek231 [11]3 years ago
7 0
Factor out the x first.
x(7+15)
Add 7 + 15 = 22
Multiply 22 with x.
22x is your answer.
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How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)
7nadin3 [17]

1 mile * 5280 ft * 12 in = 63360 in

There are 63360 inches in one mile

4 0
3 years ago
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Using distributive property create an equivalent expression to 40+4x
evablogger [386]
Hi there!

To create an expression that uses the distribution property which can be simplified into 40 + 4x, we can find a factor between 40 and 4:

Since both 40 and 4 is divisible by 4,

40 / 4 = 10
4 / 4 = 1

We can put the 4 on the outside of the parenthesis, and put the quotients inside the parenthesis. And since the expression is in addition, we should include the addition symbol as the operation inside the parenthesis. 

4(10 + x)
would be your answer. 

Hope this helps!
4 0
3 years ago
A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag
Sveta_85 [38]

Answer:

\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s

where B stands for Base area

and P for Base Parimeter

so

\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s

now we need our algebraic skills to figure out s

simplify parentheses:

\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144

reduce fraction:

\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32}  \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144

simplify multiplication:

\displaystyle \: 16s + 64 = 144

cancel 64 from both sides;

\displaystyle \: 16s = 80

divide both sides by 16:

\displaystyle \: \therefore \: s = 5

now we'll use Pythagoras theorem to figure out height

according to the theorem

\displaystyle \:  {h}^{2}  +  (\frac{l}{2} {)}^{2}  =  {s}^{2}

substitute the value of l and s:

\displaystyle \:  {h}^{2}  +  (\frac{8}{2} {)}^{2}  =  {5}^{2}

simplify parentheses:

\displaystyle \:  {h}^{2}  +  (4 {)}^{2}  =  {5}^{2}

simplify squares:

\displaystyle \:  {h}^{2}  +  16  =  25

cancel 16 from both sides:

\displaystyle \:  {h}^{2}   =  9

square root both sides:

\displaystyle \:   \therefore \: {h}^{}   =  3

recall the formula of a square pyramid

\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h

where A stands for Base area (l²)

substitute the value of h and l:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  \{8 \times 8 \}\times 3

simplify multiplication:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  64\times 3

reduce fraction:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times  64\times \cancel{ \:  3}

hence,

\sf\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

8 0
2 years ago
Simplify the expression. 6k – 1 + 6k
den301095 [7]
12k-1 is the simplified answer
5 0
3 years ago
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What is the cube of 8?<br> O A. 2<br> O B. 64<br> C.53<br> O D. 24
VMariaS [17]

Answer:

for my answer i got 512 but it is not one of the answer choices

Step-by-step explanation:

8 0
2 years ago
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