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oksian1 [2.3K]
3 years ago
6

Equivalent expression for 7(2x - 3y + 6) by modeling and by using the distributive property.

Mathematics
1 answer:
ira [324]3 years ago
5 0

14x-21y+42 should be your answer. hope it helps :)

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Solve the system 8y-5z=23 3y-2z=6<br><br> 100 POINTS
Hatshy [7]

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

6 0
3 years ago
Read 2 more answers
Helpppp plssss!! Show your work!!<br><br>Thanks
Eduardwww [97]

Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

\heartsuit\;\;Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Given Points are (-3 , 5) and (6 , -1)

here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

\heartsuit\;\;Slope(m) = \frac{5 + 1}{-3 - 6} = \frac{6}{-9} = \frac{-2}{3}

Option D is the Answer

4 0
4 years ago
A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a
zheka24 [161]

Answer:

x = 60 cents.

Step-by-step explanation:

The man wants to make up 100 one-pound jars of nuts, it means he will need 100 pounds of nuts. He plans to use 40 pounds of one type of nuts, so he needs 60 pounds of the other type of nuts to get 100 pounds.

Now, with this we can write a linear equation:

(40*0.75)+(60*x) = 100*0.66 (1)

Where:

  • 0.75 is the unit price of the 40 pounds of one type of nuts.
  • x is the unit price of the 60 pounds of the other type of nuts.
  • 0.66 is the unit price of 100 one-pound jars.

Let's solve the equation (1) for x:

x=\frac{100*0.66-40*0.75}{60}

Therefore, x = 60 cents.

I hope it helps you!

7 0
3 years ago
Dr. Washington is interested in studying the relationship between test scores, coded from zero percent to 100 percent, and the n
aleksklad [387]

Answer:

independent quantitative.

Step-by-step explanation:

An indepentent variable in an investigation, is the variable that will be changed in order to know how its variation affects the dependent variable.

In this case, the dependent variable is the test scores since Dr Washington will study there is the numeber of hours of study affects the grade the students obtain.

Therefore, the hours of study are the independent variable.

It is also a quantitative variable since it can be counted.

6 0
3 years ago
Which equation represents an exponential function that passes through the point (2, 80)?
AnnyKZ [126]

Answer:

f(x) = 5(4)^x

Step-by-step explanation:

4 0
3 years ago
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