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2 years ago

The ratio of pencils to erasers is 4:1 if there are 208 pencils,how many erasers are there?

Mathematics

1 answer:

Neko [114]2 years ago

7 0

Answer:

Step-by-step explanation:

for every 4 pencils there is 1 eraser. 4/1=208/x

4x=208

x=52

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What is the 1st quartile in the data set 65 90 100 72 88 55 73

dem82 [27]

Im pretty sure the answer is 65

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3 years ago

Wyatt went to soda city to get vegetables for herself and her friends. She collected $30 and boxes are $10 each. Fill in the equ

sergey [27]

Answer:

$Budget = 3 b$

Step-by-step explanation:

Given

$Budget = \$30$

$Cost\ of\ box (b) = \$10$

Required

Represent as an equation;

$Budget = \$30$

Expand the above

$Budget = 3 * \$10$

<em>Recall that b = $10 ----given</em>

$Budget = 3 * \$10$ becomes

$Budget = 3 * b$

$Budget = 3 b$

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2 years ago

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≈124.66667

Step-by-step explanation

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3 years ago

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what ordered pair is 2 spaces to the left and 4 spaces down from the point graphed on the coordinate plane?

kykrilka [37]

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3 years ago

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

2 years ago