Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?

5(9+4)​

9(5)+20

5(11+4)​

4(5+5)

Answer:

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Step-by-step explanation:

You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.  

To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.

[tex]\frac{2}{3}[/tex] ÷3

To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.

In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.

In this case:

[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Answer: base is 12

Step-by-step explanation:

Answer:

[tex](12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2[/tex]

Answer:

15.333...

Step-by-step explanation:

9x-11=12

9x-11(+11)=12(+11)

9x=23

23/9x= 2.555...

2.555(6) = 15.333...

Answer:

1. x=0

2. m=5

3. x=8

4. x=-8

5. x=49

6. x=-133

Step-by-step explanation:

1. 9x=0

2. -20=-4m, 20=4m

3. 2x=16

4. x/8=-1, x=-1x8

5. x/7=7

6. After simplifying: −1/19(x)=7

Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!

Answer:

barely any pounts, √

Step-by-step explanation:

Answer:

A because absolute value doesn't change the actual value of the number, just makes it positive no matter what, but it's still the same distance from 0, just in the opposite direction.

Step-by-step explanation:

Answer:

A : a number distance form 0n the number line

Step-by-step explanation:

ex: if you want to find the absolute value of -4 you would look at the distance from zero so it would be 4 from zero so the absolute of -4 is 4

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

Answer:

answer: 504 blooms <3

Step-by-step explanation:

if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

Answer:

c

Step-by-step explana i think its right

Answer:

Rachel most likely drew a red or blue marble.

8/20 chance of drawing a blue marble.

7/20 chance of drawing a red marble.

5/20 chance if drawing a purple marble.

Answer:

40

Step-by-step explanation:

Answer:

I thought I knew how to do this but ig I forgot ill be back in a little with the anwser.

Step-by-step explanation:

I'm sorry if I get this wrong, but there isn't enough evidence.

If we think about the shorter side being 4.2 cm, then just divide 33.6 by 4.2 to give it a ratio. 33.6 / 4.2 is 8. The ratio of the scale drawing to the actual playground would be 1 : 8.

The longer side is 10.5, so just multiply that by 8. You'd get 84 meters. The only part left is getting the area.

Multiply 84 x 33.6 and you'd get 2822.4

The answer would be 2,822.4 squared.

Answer:

20

Step-by-step explanation:

If she has 5 yards and she cuts them into 1/4 each. You're basically multiplying 5 by 4, and that's 20.

Answer:

40

Step-by-step explanation:

Divide: 55/22 = 0.4

Multiply: 0.4 * 100 = 40.

Answer:

okokokokokokokokokolkokokok

Answer:

[tex]x = 3.3cm[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

Small

[tex]Bottom = x[/tex]

[tex]Left = 7cm[/tex]

Big

[tex]Bottom = 7cm[/tex]

[tex]Left = 15cm[/tex]

Required

Find x

From the question, we understand that the big pentagon is a dilation of the small pentagon.

What this means is that; both pentagons will have the same equivalent ratio.

The equivalent ratio, in this case is calculated using

[tex]Ratio = \frac{Bottom}{Left}[/tex]

For the small pentagon:

[tex]Ratio = \frac{x}{7cm}[/tex]

For the big pentagon:

[tex]Ratio = \frac{7cm}{15cm}[/tex]

Equate both ratios:

[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]

[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]

Cross multiply

[tex]15 * x = 7cm * 7[/tex]

[tex]15 * x = 49cm[/tex]

Make x the subject

[tex]x = \frac{49cm}{15}[/tex]

[tex]x = 3.267cm[/tex]

[tex]x = 3.3cm[/tex] --- approximated

Answer:

The answer should be 3.3

Step-by-step explanation:

I'm taking the test right now.

6% of 22 is 1.32

i hope this helps (:

Answer:

To find this number, you must know the conversion rate between percentages and decimals. If 100% = 1, then 6% will equal 0.06. The oppisite of multiplication is division, so instead of multiplying the number my 0.06, you have to divide it which gives you 22. And if you multiply that number by 0.06, you get 1.32.

Hope that helped!

Answer:

B) 800 cm^2

Step-by-step explanation:

A=2(wl+hl+hw)

800 = 2(10x15 + 10x10 + 10x15), which is B

Answer:

800 cm^2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

i wont give you the answer, but i can help you find it.

Step-by-step explanation:

the equation to find the answer is C= 2 x 3.14

Answer:

[tex] {m}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ {m}^{3} } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ { {m}^{ \frac{3}{2} } } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{9 + 4}{2 \times 3} }}{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{13}{6} }}{ {m}^{ \frac{1}{6} } } \\ \\ = {m}^{ \frac{13}{6} - \frac{1}{6} } \\ \\ = {m}^{ \frac{12}{6} } \\ \\ = {m}^{2} [/tex]

Answer:

4. 1/5

Step-by-step explanation:

Answer:

5m = k or 5(10) = k

Step-by-step explanation:

Let m represent Mark

Let k represent Kate

So, it is 5 times the amount that Mark has, so that is 5m = k

or just simply 5(10) = k

The pens that Kate has is equal to 50

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given here, let  mark has x= 10  pens and Kate has 5 times as many pens as Mark then kate would have 5x pens

therefore5x = 5×10

                    = 50 pens

Hence,  The pens that Kate has is equal to 50

Learn more about equations here:

https://brainly.com/question/21835898

#SPJ5

Answer:

Lake to House= ~4.92.  Total Length= 11.42 miles

Step-by-step explanation: Lets assume that it is a right triangle .

Your house being the 90 degree angle and the path from the lake to your house being the hypotenuse.

Then to find the lenght you did Pythagorean theorem:

a^2 + b^2 = c^2

a=2mi

b=4.5

(2 * 2) + (4.5 * 4.5) = c^2

24.25= c^2

[tex]\sqrt{24.25}[/tex] = [tex]\sqrt{c^{2} }[/tex]

c = ~4.92

~ means around

Add them up

Answer/Step-by-step explanation:

The number 5 is greater than 4.026

Hope this helps!

Answer:

4.027

Step-by-step explanation:

Just add a number to the problem

Answer:

235

Step-by-step explanation:

area of one square=

180

area of other square=

11 times 5 =55

55+180=235

please mark be as brainliest

Answer:

[tex]a=20cm\\b=14cm[/tex]

[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]

[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]

[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]

[tex]S=235cm^{2}[/tex]