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rosijanka [135]
3 years ago
8

"The Martin family's truck gets an average of 25 miles per gallon of fuel. Predict how many miles they will be able to get from

7 gallons of fuel by using equivalent rates." (Explain with fractions/ equivalent rate in detail pls)
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

Answer:

175 miles

Step-by-step explanation:

Average of 25 miles per gallon of fuel

Miles : gallons = 25 : 1

Predict how many miles they will be able to get from 7 gallons of fuel by using equivalent rates

Let x = number miles

Miles : gallons = x : 7

To find x

25 : 1 = x : 7

25/1 = x/7

Cross product

25*7 = 1*x

175 = x

x = 175 miles

Number miles = 175

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Which transformation of Figure A results in Figure A' ?
MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

(x,y)\implies (-y,x)

Let us substitute the coordinates of the figure A

Thus, we have,

(0,2)\implies(-2,0)

(-1,6)\implies (-6,-1)

(-4,4)\implies(-4,-4)

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

3 0
3 years ago
Read 2 more answers
Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t
padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

Number of Voters for green color = \frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = \frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

x-\frac58x-\frac{15x}{72} = 48

Now we will make denominators common using LCM we get;

\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48

Now denominators are common so we will solve the numerators we get;

\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48

Now multiplying both side by 6 we get;

\frac{1}{6}x\times6=48\times6\\\\x = 288

Number of voters for blue color = \frac{5}{8}x=\frac{5}{8}\times 288= 180

Hence There were 180 voters for blue color.

4 0
3 years ago
A sing claims a dress cost $45.00,but the sale tax is 6%how much does it really cost?
pantera1 [17]
The answer is $47.70
4 0
3 years ago
A.y=-x+0.5<br> B.y=-x-0.5<br> C.y=x+0.5<br> D.y=x-0.5
omeli [17]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
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I need help with this
Effectus [21]

Answer:

The answer is B

Step-by-step explanation:

5 0
2 years ago
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