HELP ASAP 36 POINTS!!!!!

Given: 8x-61=17, prove: 39/4

Degger [83]

Answer:

The solution is $x = \frac{39}{4}$

Step-by-step explanation:

We are given the following equation:

8x - 61 = 17

We want to find the solution, that is, the value of x. So

$8x - 61 = 17$

$8x = 78$

$x = \frac{78}{8}$

Simplifying by 2

$x = \frac{39}{4}$

The solution is $x = \frac{39}{4}$

8 0

2 years ago

Multiply using FOIL or Table method (x + 4) (x + 5)

mylen [45]

Answer:

${x}^{2} + 9x + 20$

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

${x}^{2} + 5x + 4x + 20$

2) Collect like terms.

${x}^{2} + (5x + 4x) + 20$

3) Simplify.

${x}^{2} + 9x + 20$

Therefor, the answer is x² + 9x + 20.

5 0

2 years ago

One number is 6 more than another. Twice the larger number is 5 times the smaller.

tresset_1 [31]

Answer:

The smaller number is 4

Step-by-step explanation:

Larger number = x

Smaller number = y

Write 2 equations

y + 6 = x

2x = 5y

Substitute x in the first equation to the second equation

2(y + 6) = 5y

Multiply 2(y + 6)

2y + 12 = 5y

Subtract 2y from both sides of the equation

12 = 3y

Divide both sides of the equation by 3

y = 4

x = y + 6 = 4 + 6 = 10

The smaller number is 4

Hope this helps :)

3 0

2 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

2 years ago

Which one of these show the multiplication property of equality? I know what is it I just don’t see it on here, 5 and 9 both loo

Fofino [41]

Answer:

5 is c 9 is f

8 0

2 years ago