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3 years ago

Make sure to show your work.

Mathematics

1 answer:

Lana71 [14]3 years ago

5 0

Answer:

(3, 22)

Step-by-step explanation:

first you substitute 10x-8 for y in the first equation

-5x+3(10x-8)=51

then multiply

-5x+30x-24=51

add 24 to 51 and -5x to 30x

25x=75

divide by 25

x=3

then you substitute x=3 in the second equation

y=10(3)-8

30-8= 22

y=22

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Solve the inequality:<br><br> <img src="https://tex.z-dn.net/?f=4x%2B3%5C%20%20%5Ctextgreater%20%5C%2019" id="TexFormula1" title

IceJOKER [234]

Answer:

x > 4

Step-by-step explanation:

4x + 3 > 19

4x + 3 - 3 > 19 - 3

4x > 16

4x/4 > 16/4

x > 4

Hope this helps.

6 0

3 years ago

Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8?

inessss [21]

Answer:

"The next term should be 11"

Step-by-step explanation:

If we look closely at the sequence we can see:

second term is 3 more than previous

third term is 2 less than previous

fourth term is 3 more than previous

fifth term is 2 less than previous

We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.

Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11

The next term would be 11

5 0

4 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -7) and your house is located at (

Marizza181 [45]

Distance = $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
so plug in the coordinates and you will get 14.14 units

4 0

4 years ago

Read 2 more answers

Addy bought a new shirt and she had a 20% off coupon . The coupon took $8.25 off of the price of her shirt. What did she pay wit

zloy xaker [14]

Answer:

$33

Step-by-step explanation:

Given: Addy had 20% off coupon.

The coupon took $8.25 off of the shirt price.

Lets assume the original cost of shirt be "x".

We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.

∴ We can form an equation to know the original price of shirt.

⇒ $\frac{20}{100} \times x= \$ 8.25$

⇒ $\frac{1}{5} \times x= \$ 8.25$

Multiplying both side by 5

⇒ $x= 8.25\times 5$

∴ $x= \$ 41.25$

Hence, The original cost price of shirt was $41.25.

Next, finding the price paid by Addy for her new shirt by reducing coupon discount from the cost of shirt.

Price paid by Addy for her new shirt= $\$ 41.25- \$ 8.25= \$ 33$

Hence, Addy paid $33 for her new shirt.

8 0

3 years ago

What is the solution to 4 (m-3) + 19 = 8 (2m + 3) + 7?

Flauer [41]

Answer:

x=-2

Step-by-step explanation:

Let m=x

$4(x-3)+19=8(2x+3)+7\\$

Expand the parentheses:

$4x-12+19=16x+24+7\\4x+7=16x+31\\-31+7=16x-4x\\-24=12x\\x=-2$

<em>Hope this helped! If you have any more questions regarding the explanation, please comment below, have a good day!</em>

6 0

3 years ago