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2 years ago

There are 75 students in a speech contest. Yesterday, 2/5 of them gave their speeches. Today, 1/3

Mathematics

1 answer:

Trava [24]2 years ago

4 0

<h3>Answer: 30</h3>

Work Shown:

2/5 of 75 = (2/5)*75 = 0.4*75 = 30

Yesterday 30 people gave speeches. There are 75-30 = 45 people left.

1/3 of 45 = (1/3)*45 = 15

Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.

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What is the slope of a line that is parallel to the line y 3/4x+2

Ronch [10]

Answer:

-4/3

Step-by-step explanation:

mtan × mline = -1

mtan× 3/4 = -1

mtan =-4/3

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1 year ago

29. March sales accounted for 1/7 of the total number of jazz records sold all year. About how many jazz records were sold all y

enot [183]

The March sales of Jazz records is an illustration of proportions, and the number of jazz records sold all year is 7x

<h3>How to determine the total number of sales?</h3>

The sales in March is given as:

Proportion = 1/7

Let the actual number of sales in the month of March be x, and the total sales in the year be y.

So, we have:

1/7 * y = x

Make y the subject

y =7x

Hence, the number of jazz records sold all year is 7x

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1 year ago

5. Simplify<br> (7x2+ 8) - (x2 - 2)

Gennadij [26K]

Answer:

$(7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2}$

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3 years ago

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

katovenus [111]

Start by getting the term with the exponent on one side
$2^{5x}=100$

take the log of both sides
$log 2^{5x} =log100$

There is a log rule that says we can bring down the exponent
$5xlog2=log100$

Solve for x
$5x= \frac{log100}{log2}$
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3 years ago

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

maxonik [38]

The students rented 4 small cars and 8 large cars.

Step-by-step explanation:

Given,

Number of people in small car = 4

Number of people in large car = 7

Total people in both type of cars = 72

Let,

x represent the number of small cars rented.

y represent the number of large cars rented.

According to given statement;

4x+7y=72 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$4x+7(2x)=72\\4x+14x=72\\18x=72$

Dividing both sides by 18

$\frac{18x}{18}=\frac{72}{18}\\x=4$

Putting x=4 in Eqn 2

$y=2(4)\\y=8$

The students rented 4 small cars and 8 large cars.

Keywords: linear equation, substitution method

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3 years ago