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Tcecarenko [31]
3 years ago
6

The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends prep

aring for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?
Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Answer:

She would receive 96 points

Step-by-step explanation:

The grade (Y) received on a certain teacher's 100-point test varies in direct proportion to the amount of time(t) a student spends preparing for the test.

Mathematically

Y= kt

Where k is constant of proportionality

If y= 72 and t= 3

72=k3

72/3= k

24= k

So

Y= 24t

If t= 4

Y= kt

Y= 24(4)

Y= 96

Y = 96 points

She would receive 96 points

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A rectangular billboard image is 5 ft wide and 4 ft high. If the available billboard space is 25 ft by 15 ft, what are the dimen
Lapatulllka [165]

Answer:

18¾ ft × 15 ft

Step-by-step explanation:

The dimensions of the billboard are 25 ft by 15 ft.

The dimensions of the image are 5 ft by 4 ft  

Case 1.<em> Expand the length of the image to 25 ft. </em>

We have multiplied the length by five, so we must multiply the width by five.

w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard

by 5 ft.


<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>

We have multiplied the width by 15/4, so we must multiply the length by 15/4.

l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.

The expanded image will be 18¾ ft × 15 ft.

In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.

The pink rectangle represents the dilation of the original image to a width of 15 ft.

5 0
3 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in​ bonds
NikAS [45]

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

7 0
2 years ago
6) Find the measure of ∠G.
topjm [15]

Answer:

m<G = 71

Step-by-step explanation:

Find x first

7x + 1 + 6x - 6 + 55 = 180

Combine like terms:

13x + 50 = 180

      - 50    - 50

13x = 130

/13     /13

x = 10

Then apply to problem

7 (10) + 1

70 + 1

= 71

8 0
2 years ago
Read 2 more answers
Find the solution of this system of equations.
Brrunno [24]

Answer:

x=-11, y=0. (-11, 0).

Step-by-step explanation:

x-12y=-11

x-y=-11

-------------

x=y+(-11)

x=y-11

y-11-12y=-11

-11y=-11+11

-11y=0

y=0/-11=0

x-0=-11

x=-11+0=-11

8 0
3 years ago
The above Venn diagram represents students involved in different extracurricular activities at Franklin High School. Extracurric
Anna [14]
From the given Venn diagram, the number of students who participate in at least 2 types of sports is
66 + 32 + 74 + 97 = 269

The total number of students is 824.
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100(269/824 = 32.6%

Answer: D.  32.6%


3 0
3 years ago
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