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2 years ago

12

John wants to magnify the image of a fire ant and crab spider so they appear to be the same length.How many times their actual s

izes would he need to magnify each image? The fire ant is 4 and the crab spider is 5

1 answer:

stealth61 [152]2 years ago

7 0

Magnify the ant 5 times and magnify the crab spider 4 times so they can both be 20.

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The cost of renting a car is $42 a day plus 25 cents per mile. How far can Alex drive in one day if he only has $162

earnstyle [38]

Answer:

Alex can drive 480miles in one day period.

Step-by-step explanation:

$162- $42 =$120

$120/0.25¢=480

480miles

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2 years ago

A digital gaming service offers a subscription plan with a $25 membership fee and charges a $2.50 per game rental fee. How many

erastova [34]

Answer:

They can get at most 10 games

The inequality is g=25+2.50x

Step-by-step explanation:

50=25+2.5x

50-25=25

25=2.5x

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2 years ago

Determine whether line segment FG is tangent to circle E.

liubo4ka [24]

The tangent meets the radius at a right angle.

We use (the converse of) the Pythagorean Theorem to check:

$26^2 + 17^2 = 965 \ne 30^2$

Not a right triangle

Answer: FALSE

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2 years ago

For which of the following situations would a sample be used versus a population? Select all that apply.

muminat

Answer:

Step-by-step explanation:

A biologist is interested in the average wingspan of hawks in the United States.

and

A researcher is interested in the average birth weight of newborn babies born in the United States.

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2 years ago

Solve each equation. Identify the solutions as rational or irrational numbers.

Fiesta28 [93]

$\textbf{a)}\\\\~~~~~~~x(3x-4)=5\\\\\implies 3x^2 -4x = 5\\\\\implies 3x^2 -4x=5\\\\\implies x^2 - \dfrac 43 x = \dfrac 53\\ \\\implies x^2 - 2\cdot \dfrac 23 \cdot x + \left( \dfrac 23 \right)^2 - \left( \dfrac 23 \right)^2 = \dfrac 53\\\\\implies \left(x-\dfrac 23 \right)^2 = \dfrac 53 + \dfrac 49\\\\\implies \left(x-\dfrac 23 \right)^2= \dfrac{19}{9}\\\\\implies x- \dfrac 23 = \pm\dfrac{\sqrt{19}}3\\\\\implies x=\dfrac 23 \pm\dfrac{\sqrt{19}}3\\\\$

$\text{The solutions are irrational.}\\\\\\\textbf{b)}\\\\~~~~~~~(3x-2)^2 = \dfrac 14\\\\\implies 3x -2 = \pm \dfrac 12\\\\\implies 3x = 2\pm \dfrac 12\\\\\implies x = \dfrac 23 \pm \dfrac 16\\\\ \implies x = \dfrac 56 ,~~ x =\dfrac 12 \\ \\\text{The solutions are rational .}$

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1 year ago