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Mariulka [41]
2 years ago
8

A scale model of a house is 1 ft. long. The actual house is 50 ft long. In the model, the window is 1 1/5 in. high. How many fee

t high is the actual window?
Mathematics
1 answer:
stich3 [128]2 years ago
6 0
First, identify the ratio:
1:50 (1 foot on the model is 50 feet on the house)
to find the actual height of the window multiply 1 1/5 by 50
\frac{6}{5}*\frac{50}{1}=\frac{300}{5}
300/5 simplifies into 60
the height of the real window is 60 feet 

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Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student
WARRIOR [948]

Answer:

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

-4y = -$33

y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively

8 0
2 years ago
Flannery used 30 lilies and 78 roses to create six identical flower arrangements. Write an equation to describe the relationship
Volgvan

Number of lilies used= 30 lilies

Number of roses used= 78 roses

To make the six identical arrangements:

We need to divide lilies into six equal parts, as well as number of roses in six equal parts.

I=Number of lilies in each arrangement = \frac{30}{6}=5

r=Number of roses in each arrangement = \frac{78}{6}=13

Total number of flowers in arrangement (I + r)= 5 Lilies + 13 Roses=18 (Flowers)

The relationship between l, the number of lilies, and r, the number of roses:

→ 5 I = 13 r

I=\frac{13 r}{5} , r =\frac{5I}{13}

7 0
1 year ago
Quadrilateral A’B’C’D’ is a dilation of quadrilateral ABCD about point P. Quadrilateral ABCD is shown. Side AB is labeled 5. Sid
Stolb23 [73]

Answer:  The correct option is (A) reduction.

Step-by-step explanation:  Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

A'B'=1\dfrac{1}{4}=\dfrac{5}{4}~\textup{units},~~B'C'=1~\textup{units},~~C'D'=2\dfrac{1}{2}=\dfrac{5}{2}~\textup{units},\\\\D'A'=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{units}.

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=\dfrac{A'B'}{AB}=\dfrac{\frac{5}{4}}{5}=\dfrac{5}{4\times5}=\dfrac{1}{4}

Since the scale factor is less than 1, so the dilation will be a reduction.

5 0
1 year ago
Read 2 more answers
Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be
makkiz [27]

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

Lets get Jorge's time :

As the rate is constant, we can find the slope to know the number of cups he is filling per minute.

Slope is found using: \frac{y2-y1}{x2-x1}

= \frac{53-25}{5-3}

= \frac{28}{2}=14

From the table lets get Mary's time:

\frac{99-81}{1-0.5}

= \frac{18}{0.5}=36

Another data: \frac{63-45}{2-1.5}

=  \frac{18}{0.5}=36

Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.

Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.

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2 years ago
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All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that rep
prohojiy [21]
So the original price is "x".

the discounted price by 10% is P(x) = 0.9x.

the price minus a $150 coupon is C(x) = x - 150.

so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!! wait a minute!! you have a $150 coupon, and you can use that for the purchase, so you're really only getting out of  your pocket 0.9x - 150, namely the discounted by 10% and then the saving from the coupon.

C(   P(x)   ) = P(x) - 150

C(   P(x)   ) = 0.9x - 150
5 0
2 years ago
Read 2 more answers
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