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3 years ago

On a coordinate plane, how are the locations of the points (-4 , -3) and (4 , -3) related?

Mathematics

1 answer:

Helga [31]3 years ago

8 0

Answer:Dilation involves changing the size of a shape.

The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

The given parameters are:

--- the scale factor

Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.

Given that line g is represented by points E and F; line g' would be represented by points E' and F'

So, both lines would be parallel.

Hence, the true option is (d)

Step-by-step explanation:

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A family has two cars during one particular week the first car consume 25 gallons of gas and the second consumed 15 gallons of g

d1i1m1o1n [39]

Answer: the efficiency of the first car is 25 miles per gallon.

the efficiency of the second car is 30 miles per gallon.

Step-by-step explanation:

Let x represent the efficiency of the first car.

Let y represent the efficiency of the second car.

Distance = car efficiency × number of gallons.

The first car consume 25 gallons of gas and the second consumed 15 gallons of gas. The two cars Drove a combined total of 1075 miles. It means that

25x + 15y = 1075- - - - - - - - - - -1

The sum of the fuel efficiencies was 55 miles per gallon. It means that

x + y = 55

Substituting x = 55 - y into equation 1, it becomes

25(55 - y) + 15y = 1075

1375 - 25y + 15y = 1075

- 25y + 15y = 1075 - 1375

- 10y = - 300

y = - 300/-10

y = 30

x = 55 - y = 55 - 30

x = 25

4 0

4 years ago

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the

liberstina [14]

Answer:

188 children and 145 adults were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

Let the number of children admitted be $x.$

And the the number of adults admitted be $y.$

So, the total people enter the park:

$x+y=333\\\\x=333-y\ \ \ ...(1)$

Thus, the total amount collected of the admission fee:

$1.50(x)+4(y)=862\\\\$

Substituting the value of $x$ from equation (1):

$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$

Thus, the number of adults = 145.

Now, to get the number of children by substituting the value of $y$ in equation (1) we get:

$x=333-y\\\\x=333-145\\\\x=188.$

Hence, the number of children = 188.

Therefore, 188 children and 145 adults were admitted in the park.

4 0

4 years ago

if sofia has 40,000 dresses and she needs to put them in 1,000 boxes equally, how many dresses will fit in each box

Margaret [11]

Answer:

40 dresses will fit in each box

Step-by-step explanation:

40,000 ÷ 1,000 = 40

Hope this helps

4 0

3 years ago

Read 2 more answers

X:1/3=4/9:1/18 Help me please

Verdich [7]

X. 4/9
___. ___
1/3. 1/18

1/18x = 4/27

x = 4/27. *. 18/1 = 72/27 =8/3

7 0

4 years ago

Taylor, Jillian, and Gabby are trying to earn enough money to rent a beach house for a week. They estimate that it will cost at

alekssr [168]

Answer:

the money they need (1650$) minus the money they made (600$)

= 1050

1050 divided by 3 = 350

so they each need to make 350$

Step-by-step explanation:

4 0

3 years ago