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matrenka [14]
3 years ago
11

11. For each table Ariella waits on at a restaurant, she is paid $4.00 plus 18% of the

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

m=0.18b+4

She'll earn $10.30

Step-by-step explanation:

m=0.18b+4

m=0.18(35)+4

m=6.3+4

m=10.3

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Nate's car will go 20 miles on 5 gallons. Nate wants to know how fuel efficient the car is. Please help by computing the ratio.
nadezda [96]

Answer:

4 miles per gallon of fuel.

Step-by-step explanation:

The fuel efficiency of a car is given by the ratio of distance traveled by car to the volume of fuel used.

Now, given that Nate's car will go 20 miles on 5 gallons of fuel.

Therefore, the fuel efficiency of Nate's car will be given by the ratio  

= \frac{\textrm {Dixctance traveled by the car}}{\textrm {Volume of fuel used}}

= \frac{20}{5}

= 4 miles per gallon of fuel. (Answer)

6 0
3 years ago
Use the zero product property to find the solutions to the equation x^2-13x+30=0
Softa [21]

Answer:

D)  x = 3 , x= 10.

Step-by-step explanation:

Given  : x²-13x+30=0

To find : Use the zero product property to find the solutions to the equation.

Solution : We have given

x²-13x+30=0

On factoring

x²-10x -3x +30=0

On taking x common from first two terms and -3 from last two terms .

x ( x - 10 ) - 3( x - 10 ) = 0

On grouping

(x -3) ( x -10) = 0.

By the zero product property

x -3 = 0

x = 3 ,  

For x - 10 = 0.

x = 10.

Therefore,D)  x = 3 , x= 10.

3 0
3 years ago
Read 2 more answers
If the us dollar changes from 1 = 200 yen to 1 to 100 yen then
Mazyrski [523]
You have 100 yen if you have a dollar or one hundred = 1000 yen
3 0
3 years ago
I NEED THE ANSWERS QUICK!!! PLEASE TELL ME ILL GIVE BRAINLIEST!!!!!!!!!!!!
Ulleksa [173]

Answer:

(3,-8) (2,-10)

Step-by-step explanation:

Graph and see where the points are, if they are in the solution, they are correct.

Please mark me brainlist and solve the question I just asked.

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3 0
3 years ago
I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

4 0
1 year ago
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