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3 years ago

13

Create a few expressions of your own to demonstrate not only your understanding of the distributive property but also the powers

of 10.
WILL GIVE BRAINLIEST

1 answer:

DanielleElmas [232]3 years ago

3 0

2(3+6) = 6 + 12 = 18

10² = 100

10(10+10) = 100 + 100 = 200

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On the last day of school, Mrs. Awesome gave jelly beans to her class. She gave each boy as many jelly beans as there were boys

professor190 [17]

Answer:

28 students

Step-by-step explanation:

Let x be the number of girls in the class. There were two more boys than girls in her class, then the number of boys is x + 2.

Mrs. Awesome gave each boy as many jelly beans as there were boys in the class, so each of x + 2 boys got x + 2 jelly beans, so

Number of boys = x + 2

Number of jelly beans each boy got = x + 2

Total number of jelly beans all boys got = (x + 2)(x + 2)

Mrs. Awesome gave each girl as many jelly beans as there were girls in the class, so each of x girls got x jelly beans, so

Number of girls = x

Number of jelly beans each girl got = x

Total number of jelly beans all girls got = (x)(x)

Hence,

Total number of jelly beans class got = (x + 2)(x + 2) + (x)(x)

Mrs. Awesome brought 400 jelly beans, and when she finished, she had six jelly beans left, so she gave 400 - 6 = 394 jelly beans to the calss.

So,

$(x+2)(x+2)+(x)(x)=394\\ \\x^2+2x+2x+4+x^2=394\\ \\2x^2+4x+4-394=0\\ \\2x^2+4x-390=0\\ \\x^2+2x-195=0\\ \\D=2^2-4\cdot (-195)=4+780=784\\ \\\sqrt{D}=28\\ \\x_{1,2}=\dfrac{-2\pm 28}{2\cdot 1}=-15,\ 13$

Number of girls cannot be negative, so x = 13, x + 2 = 15 and total number of students is 13 + 15 = 28

3 0

3 years ago

Find the center and the radius of the circle with the equation .

Simora [160]

We have been given an equation of circle $x^2+2x+y^2-2y-14=0$ . We are asked to find the center and radius of the circle.

First of all, we will write equation of circle is standard form $(x-h)^2+(y-k)^2=r^2$ , where center of circle is at point (h,k) and radius is r.

Let us complete the square for both x and y.

$x^2+2x+y^2-2y-14+14=0+14$

$x^2+2x+y^2-2y=14$

Adding half the square of coefficient of x and y term, we will get:

$(\frac{2}{2})^2=1^2=1$

$(\frac{-2}{2})^2=(-1)^2=1$

$x^2+2x+1+y^2-2y+1=14+1+1$

$(x+1)^2+(y-1)^2=16$

$(x-(-1))^2+(y-1)^2=4^2$

Therefore, the center of the circle is $(-1,1)$ and radius is 4 units.

4 0

2 years ago

A bowl contains 7 marbles of various colors consisting of green, brown, and red.

ZanzabumX [31]

Answer:

3/7

Step-by-step explanation:

7-4=3

7 0

2 years ago

In the following scenario for a hypothesis test for a population? mean, decide whether the? z-test is an appropriate method for

Alik [6]

D

This is the right answer

4 0

2 years ago

Angle measure labeled a<br> The arc mesure labeled c

inna [77]

Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°

<h3>stay safe healthy and happy.</h3>

5 0

3 years ago

Read 2 more answers