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4 years ago

Elena plans to ride her bicycle 5 miles to a park and then ride several times

Mathematics

1 answer:

Aneli [31]4 years ago

4 0

Option A

Elena need to ride around the loop four or more times

Solution:

Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long

Then she will ride the same way home

She wants to ride a total of at least 22 miles

Given inequality is:

3t + 10 > 22

Where "t" is the number of times Elena rides around the loop

Solve fot "t" in given inequality

3t + 10 > 22

Subtract 10 both sides

3t + 10 - 10 > 22 - 10

3t > 12

Divide by 3 both sides

t > 4

The solution is all real numbers greater than or equal to 4

Which means 4 or more times

Therefore, Option A is correct.

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3 years ago

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3 years ago

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3 years ago

If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The

stepan [7]

Answer:

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement must be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

$A = - \frac{ 1}{B}$

$B = - \frac{1}{A}$

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

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2 years ago

Read 2 more answers

I NEED HELP ON THIS PLZZZ HELPP

adell [148]

Answer:

$76 \: {in}^{2}$

Step-by-step explanation:

Area of the figure = Are of square with side 8 in + 2 times the area of one triangle with base (8 - 5 = 3) 3 in and height 4 in

$= {(8)}^{2} + 2 \times \frac{1}{2} \times 3 \times 4 \\ \\ = 64 + 12 \\ \\ = 76 \: {in}^{2}$

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3 years ago