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jekas [21]
3 years ago
9

For his exercise today, Manuel plans to both run and swim. Let r be the number of laps he runs and let s be the number of laps h

e swims. Each lap he runs takes him 5 minutes, and each lap he swims takes him 2 minutes.
He wants to exercise for more than 30 minutes today. Using the values and variables given, write an inequality describing this.
Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0
5r+ 2s > 30
Explanation:
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Please help me!!!!
Greeley [361]
Your process is close!

Since 3/10 and 4/15 is the amount you missed you have to subtract that by 1.

1 - 0.3 = 0.70
1 - 0.26 = 0.74

So, you scored higher on the math quiz.

Hope this helps!
3 0
3 years ago
What is the area of the trapezoid shown below?
andrew-mc [135]
Ok so the triangle part is 10 but I don’t know what the rectangle part is but the formula for a rectangle is A=base x high
5 0
3 years ago
The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag label
astraxan [27]

<u><em>Answer:</em></u>

The sales tax is 8%

<u><em>Explanation:</em></u>

<u>We are given that:</u>

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

<u>This is done as follows:</u>

% of sales tax = \frac{tax}{price}*100

% of sales tax = \frac{1.92}{24}*100 = 8%

Hope this helps :)

4 0
3 years ago
Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the
irina [24]
This is because logarithm has its own set of properties that is different from algebra. The term log(3x - 1) is equivalent to log 3x/log 1. If we continue to rearrange and find x, the solution would be:

log(3x - 1) = log28
log 3x/log 1 = log 28
log 3x = log 28 * log 1 = 0
3x = 10⁰ = 1
3x = 1
x = 1/3

<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>
6 0
3 years ago
Read 2 more answers
A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe
mash [69]
Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by
Area= \frac{5}{2} x\times2.8=7x

Therefore, the volume of the prism is given by
Volume=7x(2x+1)=14x^2+7x
5 0
3 years ago
Read 2 more answers
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