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belka [17]
3 years ago
15

Question 10 is attached! Thanks for all your help!!!!!

Mathematics
2 answers:
KonstantinChe [14]3 years ago
6 0
8r + 2r - 7r = 18
10r - 7r = 18
3r = 18
r = 18/3
r = 6
fgiga [73]3 years ago
6 0
Good morning! ~

r = 6 

And this is why;

First, when we have our equation, were going to simplify. 

So we have 

8r + 2r - 7r = 18

Combining like terms;

(8r + 2r - 7r) = 18

3r = 18

Now we are going to divide each side of our equation by 3 

3r/3 = 18/3

r=6 

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A pastry recipe calls for 3 cups of flour to make 8 servings. how many cups of flour are needed to make 6 servings?
zimovet [89]
To make one serving you need 3cups/8servings = 3/8 cup.

To make 6 servings you need 3/8cup * 6 servings = 9/4 cups = 2.25 cups.
4 0
3 years ago
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Felicity's dog eats two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half of the amount
cupoosta [38]

Answer:

2 > \frac{1}{2} m + \frac{1}{4}  

Step-by-step explanation:

Given:

  • Felicity's dog eats two cups of dog food per day :2

If the amount of food that Martin's dog eats is represented by using m

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats: \frac{1}{2} m + \frac{1}{4}

So we have the inequality represents the situation is:

2 > \frac{1}{2} m + \frac{1}{4}  

4 0
3 years ago
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4√(-81)+6√(-36)<br> (simplify your answer))
Lapatulllka [165]
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3 0
3 years ago
I need the answer for this exact question
denis23 [38]

Answer:

y=\frac{7}{2}x-20

Step-by-step explanation:

Let the equation of the line be y-y_1=m(x-x_1) where, 'm' is its slope and (x_1,y_1) is a point on it.

Given:

The equation of a known line is:

y=-\frac{2}{7}x+9

A point on the unknown line is:

(x_1,y_1)=(4,-6)

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is m_1=-\frac{2}{7}

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20

The equation of a line perpendicular to the given line and passing through (4, -6) is y=\frac{7}{2}x-20.

3 0
3 years ago
Solve for x<br><br> 1/5(2/3x - 1/2) &gt; x + 1/3
taurus [48]

Answer:

x<-11/26

Step-by-step explanation:

1/5(2/3x-1/2)>x+1/3

2/15x-1/10>x+1/3

2/15x-x>1/3+1/10

-13/15x>11/30

x<(11/30)(-15/13)

x<-11/26

3 0
2 years ago
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