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cluponka [151]
3 years ago
9

What is the answer to 35=-7[z+8]

Mathematics
2 answers:
dedylja [7]3 years ago
5 0
<span>z=−13</span> would be your answer
vodomira [7]3 years ago
3 0
I guess you need to solve for z:

-7(z+8) = 35
First, let's develop -7(z+8):
-7(z+8) = -7z -56

So -7(z+8) = 35
-7z - 56 = 35

Then we add 56 in both sides so we can get the variable on a side and the numbers on another:
-7z - 56 + 56 = 35 + 56
-7z = 91

Then divide each side by -7 so we can get the variable z alone on a side and its value on another side:
-7z = 91
(-7z)/-7 = 91/-7
z = -13

You can re-check your answer (very important):
-7(z+8) = -7(-13+8) = -7 * -5 = 35 (Multiplying negative numbers gives a positive number).
The answer has been approved.

Hope this Helps! :)
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Use the information given to enter an equation in standard form.
nexus9112 [7]

Answer:

y - 1.4x = - 6.8

Step-by-step explanation:

To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.

Slope: \frac{45-31}{37-27} = \frac{14}{10} = 1.4

Use point slope form: y - y₁ = m(x - x₁)

Plug in x = 27, y = 31, and m = 1.4

y - 31 = 1.4(x - 27)

y - 31 = 1.4x - 37.8

y = 1.4x - 6.8

Convert this into standard form: ax + by = c

y - 1.4x = - 6.8

5 0
2 years ago
Cole buys a laptop for 335. He makes a $50 down payment and pays the rest in 6 equal payments,p. What equation represents the re
victus00 [196]

Answer:

The equation representing the relationships between the cost of laptop and Cole's payment is 50+6p=335.

Step-by-step explanation:

Given:

Cost of laptop = 335

Down payments = $50

Number of equal payments = 6p

We need to write the equation form the relationships between the cost of laptop and cole's payment.

Solution:

Now we can say that;

Cost of laptop is equal to sum of Down payments and Number of equal payments.

framing in equation form we get;

50+6p=335

Hence The equation representing the relationships between the cost of laptop and Cole's payment is 50+6p=335.

6 0
3 years ago
Sophia and isabella get a reward of 117 dollars ina ratio of 1:8.What fraction of the reward does sophia get?
worty [1.4K]

Answer:

The amount of reward that Sophia receives is \$13

Step-by-step explanation:

Let

x------> amount of reward that Sophia receives

y-----> amount of reward that Isabella receives

we know that

\frac{x}{y}=\frac{1}{8}

x=\frac{1}{8}y ------> equation A

x+y=117 -----> equation B

Substitute equation A in equation B

\frac{1}{8}y+y=117

\frac{9}{8}y=117

y=117*8/9=\$104

Find the value of x

x=\frac{1}{8}(104)=\$13

3 0
3 years ago
if 15 is the fifth number in a series of five consecutive odd numbers, what is the third number in the series ?
Elis [28]
The five numbers can be represented by (2n+1), (2n+3), (2n+5), (2n+7), and (2n+9), where n is an integer. 
<span>2n+9 = 15 </span>
<span>n = 3 </span>

<span>The third number is 2n+5 = 11</span>
6 0
3 years ago
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the
nika2105 [10]
So,

We have three placeholders.

x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.

"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y

"They doubled the sales of the second week for the third week."
z = 2y

"To sell a total of 431 boxes of cookies"
x + y + z = 431

Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431

Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431

Collect Like Terms.
2x + 5 + 2(x + 5) = 431

Distribute.
2x + 5 + 2x + 10 = 431

Collect Like Terms.
4x + 15 = 431

Subtract 15 from both sides.
4x = 416

Divide both sides by 4.
x = 104

Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y

z = 2y
z = 2(109)
z = 218

Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.

The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.
3 0
3 years ago
Read 2 more answers
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