geometry study guide help!

The order in which gifts are received doesn't matter - if child X gets toy 1 then toy 2, it's the same as giving child X toy 2 then toy 1 - so we are counting combinations.

The eldest child receives 3 of the 7 gifts, so they have

[tex]\dbinom 73 = \dfrac{7!}{3!(7-3)!} = 35[/tex]

possible choices of gifts.

The next child receives 2 of the remaining 4 gifts, so they have

[tex]\dbinom 42 = \dfrac{4!}{2!(4-2)!} = 6[/tex]

choices.

The last child receives the remaining 2 gifts, and there is only

[tex]\dbinom22 = \dfrac{2!}{2!(2-2)!} = 1[/tex]

way to select the gifts for them.

By the multiplication using, the total number of ways of distributing 7 gifts among 3 children in the prescribed way is 35 • 6 • 1 = 210.

Answer: The value of x is 15.

Solution:

Given ΔPQR  ΔUTV.

If two triangles are similar, then the corresponding parts are congruent.

Do cross multiplication, we get

⇒ 14(x - 3) = 8(x + 6)

⇒ 14x - 42 = 8x + 48

Add 42 on both sides.

⇒ 14x = 8x + 90

Subtract 8x on both sides.

⇒ 6x = 90

Divide by 6 on both sides.

⇒ x = 15

The value of x is 15.

Step-by-step explanation:

Answer:

4.0 kg

Step-by-step explanation:

F=ma

20.0N = (Mass)*(5.0 m/s^2)

Mass = 20.0N/(5.0 m/s^2)

1 N = 1 kg*m/s^2

Mass = 20.0 kg*m/s^2/(5.0 m/s^2)

Mass = 20.0 kg/5.0 or 4.0 kg

answer: B (3x^3+2x+5)

i did it on edg and got it right! have a good day! :)

Answer:

B (3x^3+2x+5)

Step-by-step explanation:

EDGE2022

Answer:

55%

Step-by-step explanation:

Because when your doing percentages out of 20 it is 5 for each

1/20=5%

2/20=10%

3/20=15%

4/20=20%

5/20=25%

6/20=30%

7/20=35%

8/20=40%

9/20=45%

10/20=50%

And 11 out of 20=55%

Answer:

7

Step by step explanation:

Total no of calendar s = 3,500

Capacity of one rack = 500 calendar

Total no of racks = 3,500/500 = 7

Answer

98ft

Step-by-step explanation:

you multiply the lengths and widths of each shape and then add them all up

Answer:

In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half its length ⇒DE is parallel to AC, and DE = 8, AC=16.

Similarly, DF is parallel to BC, and DF=6, BC=12

Step-by-step explanation:

Similarly, EF is parallel to AB, and EF=3.5, AB=7

Hence, perimeter of ΔDEF = 8+6+3.5 = 17.5

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the surface area of the prism is 594 cm.

Using a system of equations, the two numbers are determined as: 73 and 25.

A system of equations involves two linear equations having two unknown variables.

From the information given, let:

x and y be the two unknown variables. Therefore:

x + y = 98 ---> Equation 1

x - y = 48 ---> Equation 2.

Add both equations

2x = 146

Divide both sides by 2

x = 73

Substitute x = 3 into equation 1.

73 + y = 98

y = 98 - 73

y = 25

Therefore, using a system of equations, the two numbers are determined as: 73 and 25.

Learn more about system of equations on:

https://brainly.com/question/13729904

Answer:

Ben ate 1 1/2 more chocolate than Alice

Step-by-step explanation:

2 5/8 - 1 1/8 = 1 4/8

Simplify: 1 1/2

Ben ate 1 1/2 more chocolate than Alice.

Step-by-step explanation:

using SOH CAH TOA.

h=3.46 and b=4.42

We need volume

[tex]\\ \tt\hookrightarrow LBH[/tex]

[tex]\\ \tt\hookrightarrow V=28(14)(5)[/tex]

[tex]\\ \tt\hookrightarrow V=1960ft^3[/tex]

Total time

[tex]\\ \tt\hookrightarrow \dfrac{1960}{140}=14h[/tex]

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, it takes 14 hours to empty the pool.

Answer:

30

Step-by-step explanation:

3/6 students are girls, 1/2 the students are girls.

So 15 + 15 = 30

Answer:

just going to say i was confused but i thought it thru and the answer in .......

Step-by-step explanation:

Answer:

Jamie gets £ 9.6.

Step-by-step explanation:

Ratio = 2:3

=》Jamie = 2x

=》Polly = 3x

So,

2x + 3x = 24

5x = 24

x = 24/5

x = 4.8

Money Jamie gets = 2x = 2(4.8) = £9.6

Hope it helps ⚜

Answer:Yes

Step-by-step explanation:

Don’t have explanation really but I do have a pictur3 to help you understand.

I hope this helps!:)

Answer:

65

Step-by-step explanation:

585 / 9 = 65

She typed 65 words per minute.

Answer:

D {50, 150}

Step-by-step explanation:

Hope this solve your answer

Answer:

420

Step-by-step explanation:

231 customer = 55%

100% = ?

100/55 * 231 = 420

You will need to put the number you want on top. In this case 100%.

Answer:

The most accurate way to estimate 68% of 23 is to convert the percentage to a fraction first and then multiply it with the number.

=(68/100)*23 = 15.64

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

8 players for every team: 6x8=48.

Answer:

48 players

Step-by-step explanation:

There are 6 teams

There are 8 players per team

You can multiply them: 6 x 8 = 48

There are 48 players

-Chetan K

The factor that is not needed to consider when choosing a bank is the amount of money you paid in income taxes last year.

Option D is correct.

A bank is a financial institution where money and other valuable items can be stored, and/or a place where transactions take place in terms of monetary funds.

When choosing a bank, there are certain factors to consider such as:

Therefore, we can conclude that the factor that is not needed to consider when choosing a bank is the amount paid on tax charges in the last year because tax charges may be different in the following year.

Learn more about banks here:
https://brainly.com/question/11164829

Answer:

D

Step-by-step explanation:

edge

Answer:

940 miles

Step-by-step explanation:

Set up a ratio

23.5 in/x = 0.5in/20mi

Cross multiply

23.5 * 20 = 0.5 * x

470 = 0.5x

940 = x

Answer:

38ft

Step-by-step explanation:

[tex]8^{2} +11^2=c^2\\64+121=c^2\\\sqrt{185} =c[/tex]

c=13.6

[tex]\frac{13.6}{11} =\frac{x}{31}[/tex]

11x=(13.6)(31)

11x=421.6

divide both sides by 11

x=38.33

round to the nearest foot

x=38ft

Step-by-step Explanation :-

Hey there,

As per question,

[tex] \frac{24}{ \frac{(8 \times 3)}{4} \times 2} \times (15 - 4)[/tex]

[tex] = > \frac{24}{ \frac{24}{2}} \times 11[/tex]

[tex] = > 24 \times \frac{2}{24} \times 11[/tex]

Now cancelling both 24's we get :

[tex] = > 2 \times 11[/tex]

[tex] = > 22[/tex]

Therefore, The answer is 22

《 For smaller step, check the attached image also》

~Benjemin360

Have a great day :)

Answer:

f - 1 (x)  = - x6 - 76

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 .