1) Alexa won 80 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends.
She only has 8 remaining. How many friends does she have? 2) Jane spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $20. What is
her weekly allowance if she ended with $32? 3) 229 students went on a field trip. Six buses were filled and 5 students traveled in cars. How many students were in each bus?

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

Answer:

Step-by-step explanation:

Answer:

[tex](3x-y)(x+y)^2[/tex]

Step-by-step explanation:

[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]

Multiply and combine like terms.

[tex]3x^3+xy^2-y^3+5xy^3[/tex]

Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.

[tex]3x^3+5xy^2+y^2x-y^3[/tex]

Find one factor of the form kx^m +n, where kx^m  divides the monomial with the highest power 3x^3  and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.

[tex](3x-y)(x^2+2xy+y^2)[/tex]

Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.

[tex](x+y)^2[/tex]

Rewrite the complete factored expression.

[tex](3x-y)(x+y)^2[/tex]

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

Answer:

4 granola bars

Step-by-step explanation:

x is the number of granola bars

1 + 2.5x = 11

2.5x = 10

x = 4

Answer:

36

Step-by-step explanation:

tan^-1(8/11)=36.027

Answer:

speed=distance/time

speed=3600/3

speed=1200m/s

Answer:

The car is going 1200 miles per hour.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The Price of socks is  

=

$

8

Explanation:

Given -

Discount 25%

Price of shirt before discount  

=

$

24

Amount spent on both shirt and socks after applying discount  

=

$

24

Assume the price of socks  

=

$

x

Then Shirt + Socks before discount =

$

(

24

+

x

)

After discount one has to pay 75% of the article.

Then -

75

100

(

24

+

x

)

=

24

0.75

(

24

+

x

)

=

24

18

+

0.75

x

=

24

0.75

x

=

24

−

18

=

6

x

=

6

0.75

=

8

The Price of socks is  

=

$

8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is  

32

×

25

100

=

$

8

Amount one has to pay after discount  

=

32

−

8

=

$

24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is  

=

$

32

75% of $32 is  

=

32

×

75

100

=

2

Step-by-step explanation:

Answer:

It created a single African nation with many states.

Answer:

Step-by-step explanation:

Formula

Driven = Total - what they need to go

Driven = 320.6 - 189.75

Driven = 130.85

Answer:

4x+6y

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

25 = 700

Y = 1260

Now you need to do cross multiplication .

25 X 1260=700Y

Since it's in a multiplying form you can simplify by dividing 700 by 25

1260=700Y/25

1260=28Y

Y=45

Answer: $13,308

5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308

Step-by-step explanation: amy likes cheap rings LOL

Answer:

54 3/4 years

Step-by-step explanation:

5.8% of 6,000= 348

348x54 3/4=19,053

hope it helps!

Answer:

99

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

[tex](a+b)^2=a^2+2ab+b^2[/tex]

We have the a² and the b² in the equation [tex]a^2+b^2=81[/tex], and we almost have a 2ab in the equation [tex]ab=9[/tex]. To get that 2ab, we can simply double both sides of the first equation to get [tex]2ab=18[/tex]. From there, we'll add the first two equations together, giving us the summed equation

[tex]a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99[/tex]

And since [tex](a+b)^2=a^2+2ab+b^2[/tex], we can equivalently say that

[tex](a+b)^2=99[/tex]

Answer:

[tex]\Huge\boxed{76}[/tex]

Step-by-step explanation:

Hello There!

The first thing we want to do is find the proportional relationship between to two triangles

The smaller triangles longest side is 18

Given the longest side of the similar triangle we can divide the longest side of the preimage by the longest side of the similar triangle

So the proportional relationship would be

36/18 or 2

Our next step is to find the the sides of the similar triangle

To do so we multiply the sides of the preimage by 2 (because 2 is the proportional relationship between the two triangles)

12x2=24

8x2=16

and we already know that the longest side measures 36

Now we can find the perimeter by adding all of the side lengths

36+24+16 = 76

So we can conclude that the perimeter of the dilated image is 76

The perimeter of the dilated triangle is 81.

Ans) 70

Tell me if you need steps

(Am 100% sure with this answer)

Answer:

-8

Step-by-step explanation:

Correct me if i'm wrong

For all the dogs: you have 2.65+2.46+3.67+2.91 = 11.69%

Now, the probability of getting a chihuahua would be 3.44/11.69=0.2942= 24.92

Step-by-step explanation:

there ya go!!

Answer:

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71% .

The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37% .

Step-by-step explanation:

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71 / 3.44 = .2937

.2937 = 29.37%

Answer:

A and C!

Step-by-step explanation:

a: for a just move all the terms not containing x to the right side of the equation!

c: divide each term by 4 and simplify!

-

hope this helped <3

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

Answer:

a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction. It can extend infinitely in one direction.

Answer:

Because when a ray will pass through a circle,it will Pass through two points making it a line segment in the circle

Step-by-step explanation:

10). 80-b

11). 25<n

12). The Expressions Is 5-d. a is unknown

Answer:

x=2;  y=2

Step-by-step explanation:

3x+2y=10

y=3x-4

We can substitute y from the first equation with the second equation:

3x+2(3x-4)=10

3x+6x-8=10

9x=18

x=2

Now plug this in to any of the equations (i used second equation):

y=3(2)-4

y=6-4

y=2

Check your answers:

y=3x-4

2=3(2)-4

2=6-4

2=2

Step-by-step explanation:

According to phythagorous theorem

c²= 8²+6²

= c²=64+36

= c²=100

= c= \/100

c = 10 mm

Answer:

[tex]6 {}^{2} + 8 { }^{2} = 36 + 64 = 100[/tex]

H=√100=10mm

Hope it helps

Have a good day

Answer:

168 pages/7 days = 24 pages/1 day

Hope that helps, dude.

Answer:

C. 43.98

Step-by-step explanation: