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liberstina [14]
4 years ago
7

1. As part of a survey, 50 students were asked about their favorite lunch item. The results are shown in the table below .The ca

feteria manager knows that about 300 students buy lunch from the cafeteria each day. Based on the table, she predicts that 60 students will buy pizza each day.Which statement about her prediction is true?
A. Her prediction is invalid because 1/5 of 50 is 10.
B. Her prediction is invalid because of 300 is 75.15
C. Her prediction is valid because 120% of 50 is 60.
D. Her prediction is valid because 20% of 300 is 60.2.


The money in Juan's savings account earns 1% interest. Which value is less than 1%%?
A. 5/4
C. 1/80
B. 0.125
D. 0.0114

Mathematics
1 answer:
Fiesta28 [93]4 years ago
7 0
1.
A. This statement is wrong because the prediction is valid, not valid.
B. Refer to A.
C.This statement is valid, yet explains the prediction incorrectly. 
[D.] This statement is correct because 50 x 6 = 300, therefore 20% of 300 is 60.

2.

A. This is incorrect because it equals 125%
B. This is also incorrect, it equals 12.5%
C. Refer to B
[D.] This is correct, it equals 1.14%, which is less than 1.25%
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Juli2301 [7.4K]

The correct question is:

The graph attached shows the number of points Derek scored

during his first five basketball games.

Write a multiplication equation and a division equation that compare the number of points Derek scored during Game 1 (x) to the number of points Derek scored during Game 4 (y).

Answer:

Multiplication equation is y = 3x

Division equation is x = y/3

Step-by-step explanation:

During Game 1, Derek had 6 points

Let x be this point, that is

x = 6

During Game 4, he had 18 points

Let y be this point, that is

y = 18

Notice that he has three times as many point in Game 4 as he had in Game 1. (Because 18 is 6 × 3)

This can be written mathematically as

18 = 6 × 3

y = x × 3 (where y is 18, and x is 6)

y = 3x (this is multiplication equation)

If you divide both sides by 3, we have

x = y/3 (this is the division equation)

4 0
3 years ago
Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round
Karo-lina-s [1.5K]

Answer:

1. D. 50\text{ units}^2

2. D. 45 units.

Step-by-step explanation:

We have been two graphs.

1. To find the area of our given triangle we will use distance formula.

\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Upon substituting coordinates of base line of our triangle we will get,

\text{Base length of triangle}=\sqrt{(15-5)^2+(5-15)^2}  

\text{Base length of triangle}=\sqrt{(10)^2+(-10)^2}  

\text{Base length of triangle}=\sqrt{100+100}  

\text{Base length of triangle}=\sqrt{200}  

\text{Base length of triangle}=10\sqrt{2}  

Now let us find the height of triangle similarly.

\text{Height of triangle}=\sqrt{(20-15)^2+(10-5)^2}  

\text{Height of triangle}=\sqrt{(5)^2+(5)^2}  

\text{Height of triangle}=\sqrt{25+25}  

\text{Height of triangle}=\sqrt{50}  

\text{Height of triangle}=5\sqrt{2}  

\text{Area of triangle}=\frac{\text{Base*Height}}{2}

\text{Area of triangle}=\frac{10\sqrt{2}*5\sqrt{2}}{2}

\text{Area of triangle}=\frac{50*2}{2}

\text{Area of triangle}=50

Therefore, area of our given triangle is 50 square units and option D is the correct choice.

2. Using distance formula we will find the length of large side of triangle as:

\text{Large side of rectangle}=\sqrt{(14-1)^2+(21-8)^2}

\text{Large side of rectangle}=\sqrt{(13)^2+(13)^2}

\text{Large side of rectangle}=\sqrt{169+169}

\text{Large side of rectangle}=\sqrt{338}

\text{Large side of rectangle}=13\sqrt{2}

\text{Small side of rectangle}=\sqrt{(4-1)^2+(5-8)^2}

\text{Small side of rectangle}=\sqrt{(3)^2+(-3)^2}

\text{Small side of rectangle}=\sqrt{9+9}

\text{Small side of rectangle}=\sqrt{18}

\text{Small side of rectangle}=3\sqrt{2}

\text{Perimeter of rectangle}=2(\text{Length + Width)}

\text{Perimeter of rectangle}=2(13\sqrt{2}+3\sqrt{2}}

\text{Perimeter of rectangle}=2(16\sqrt{2}}

\text{Perimeter of rectangle}=32\sqrt{2}

\text{Perimeter of rectangle}=45.2548339959390416\approx 45

Therefore, the perimeter of our given rectangle is 45 units and option D is the correct choice.

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4 years ago
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Answer:

The correct answer is 166.375 <em>or</em> 166.4 when rounded to the nearest tenth.

Step-by-step explanation:

If x = 0.5, then 5x^3 = 5.5^3.

5.5^3 is the same as <em>multiplying </em>5.5 by <em>itself </em> 3 times.

5.5 x 5.5 x 5.5 = 166.375 <em>or</em> 166.4 when rounded to the nearest tenth.

Hope this helps! :D

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Solve for h. <br> h = a/4
Inga [223]

Answer:

h = a/4

Step-by-step explanation:

h = a/4 has already been solved for h; there is nothing left to do here.

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alexdok [17]
Hello,
y-1=(2-1)/(5-4)(x-4)==>x-y=5
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