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Burka [1]
3 years ago
13

the art teacher is sending home a total of 3,150 projects before winter break if each of her 150 students had the same number of

projects how many did each student do?
Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0

Answer:

21 projects each

Step-by-step explanation:

3150 ÷150

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28/210 in simplest form
Sever21 [200]
Find a common multiplier then divide ex. 21/27 = 7/9 
5 0
3 years ago
Jocelyn is 1.75 meters tall. At 1 p.m., she measures the length of a tree's shadow to be
bija089 [108]

The height of the tree = 15.34m

What is height?

Height is a way to measure someone or something from base to top or head to toe. In other words, height tells how tall someone or something is.

Given,

the height of Jocelyn = 1.75m

At 1 pm = 43.85

She is sway from tree = 38.6

therefore, 43.85 - 38.6 = 5.25

Therefore, height

1.75/5.25 = h/43.35

5.25h = 76.73

therefore, height = 15.34

To know more about HEIGHT, visit:

brainly.com/question/6750993

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8 0
1 year ago
six friends are going to buy a pizza. Their chices are to biu 2 medium 10-inch diameter pizzas for 7:00 each, or 1 large 14 inch
11111nata11111 [884]
For this question, we want to find out the greatest amount of area of pizza for the least amount of money:

So we have two pizzas with a 10 in. diameter. Let us take one of those pizzas.

The formula for area of a circle is \pi r ^2; So the area for one of these 10 in. pizzas would be \pi (5)^2 or 25\pi.

We have two of these pizzas, so the total area that we would get with $14 would be 25\pi*2 or 50\pi.

For the second case, we have one pizza with a 14 in. diameter.

The area of this pizza will be \pi (7)^2 or 49\pi.

So for $15 we can buy 49\pi worth of pizza.

The best deal would be to buy the two medium pizzas of 10 inch diameter, because for $14, you get 50\pi.
5 0
3 years ago
David, a high school senior was wondering if the cost of attending college is worth the
expeople1 [14]

Answer:

D.

Step-by-step explanation:

<u>Explanation for part 1.</u>

To find the mean, find total then divide by number of data set

For college salaries

Sum=41+67+53+48+45+60+59+55+52+52+50+59+44+49+52=786

Number of samples=15

Mean= 786/15 =52.4 * $1000=$52400

For High school salaries

Sum=23+33+36+29+25+43+42+38+27+25+33+41+29+33+35=492

Number of samples =15

Mean= 492/15 = 32.8 *$1000= $32800

College grads make more money according to the means.

<u>Explanation for part 2.</u>

Treat the data as part of coordinates and graph then on the same scale and axis to visualize the trend and make comparison.In this case, the graph for the line of best fit is linear as attached.

3 0
3 years ago
Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$
solniwko [45]

Rewrite the expression  6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

The ratio of \frac{q}{p}  = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form ax^{2} + bx + c to the vertex form

a(x - h)^{2} + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^{2} + n, such that the left side is a perfect square trinomial

$6j^2 - 4j +12$

=  $6(j^2 - \frac{2}{3} j )+12$

= $6(j^2 - \frac{2}{3} j  +  \frac{1}{9}  )+\frac{102}{9}                   (Completing Square method)

=6( j- \frac{1}{3} )^{2}  +  \frac{34}{3}

On comparing with the given equation we get

p = - \frac{1}{3}     and q = \frac{34}{3}

∴ \frac{q}{p} = \frac{\frac{34}{3} }{\frac{-1}{3} }

= - 34

Learn more about completing the square method here :

brainly.com/question/26107616

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7 0
2 years ago
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