Katy is deciding which charity to donate to. She is going to donate fifty dollars to each charity chosen, and she can donate to a women's shelter (abbreviated B), a charity for rescue animals (abbreviated R), and a children's foundation (C). The dots in the Venn diagram below show the combinations that she can donate to. Let X be the event of donating fifty dollars each to two charities for a total of one hundred dollars. Let Y be the event of donating to the charity for rescue animals. Move the dots on the Venn diagram to place the dots in the correct event, X, Y,or X AND Y. Note that you might not use all of the dots.

Answer:

5x + 4y

Step-by-step explanation:

3x + 2x = 5x

11y - 7y = 4y

Answer:

157.48

Step-by-step explanation:

1 metre = 39.37 inches(Approx.)

=> So, 4 metres= 4 * 39.37 = 157.48

Answer:

158in

Step-by-step explanation:

1m = 39.37

So,

4m = 4*39.37

     = 157.48 = 157.5 = 158in

Answer:

x=2

Step-by-step explanation:

use distributive property for the first part the solve like usual

hope this helped

6(2x -3) - 8 = -2 (remove the parantheses)

12x - 18 - 8 = -2 (calculate)

12x - 26 = -2 (move the constant to the right)

12x = -2 + 26 (calculate)

12x = 24 (divide both sides)

x = 2

Answer:

14 1/2 or 29/2

Answer:

9.93g/cb cm

Step-by-step explanation:

Density = mass/volume

= 30g/3.02cb cm

= 9.93g/cb cm

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

The smallest possible value of b is 336.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that

LCM(a,b) = 20160 and  a = 60

We have to determine the smallest possible value of b

Since the product of two numbers equals the product of their HCF and LCM.

⇒ 60 × b = 20,160

⇒ b = 20,160 / 60

⇒ b = 336

⇒ 60 × 336 = 20,160

We need to write 20160 as the product of its prime factors, which is 20160.

⇒ 2⁶ × 3² × 5 × 7

⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)

⇒ (60) × (336)

⇒ LCM(60,336) = 1680

Therefore, the smallest possible value of b is 336.

Learn more about the Prime Factorization here:

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Answer:

Qn.1

{4,5,6,7,8,9,12,15,16}is ans of 1

{8,9}is ans of 2

{4,5,6,7,8,9,18,20}is ans of 3

{}Is the ans of 4

{8,9,12,15,16,18,20}is ans of 5

{}is ans of 6

{4,5,6,7,8,9,12,15,16,18,20} is ans of 7

{8,9,12,15,16} is ans of 8

Qn.2

{0,12}is ans of 9

{0,2,10,12}is ans of 10

{0,4,6,8,12}is ans of 11

{2,4,6,8,10}Is ans of 12

{}is ans of 13

{0,12}is ans 14

{0,12} is ans 15

{0,2,10,12} is ans of 16

{0,12} is ans of 17

{0,12} is ans of 18

{2,10} is ans of 19

{4,6,8} is ans of 20

I haven't made the symbol of union and intersection because i don't how to make.

it may help you at your work

Answer:

(3+2)²*4-10=x

Step-by-step explanation:

If it was a typo and is actually times 4, not divided by 4, then here is the answer:

(3+2)²*4-10=x

5²*4-10=x

25*4-10=x

100-10=x

90=x

If it actually was divided by 4, I don’t see any way it can be done.

Answer:

B

Step-by-step explanation:

(3+2)²*4-10=x

Answer:

x = 4.2

Step-by-step explanation:

72 + 10x = 114

10x = 114 - 72

10x = 42

x = 42/10

x = 4.2

Answer:

x = 4.2

Step-by-step explanation:

x is equal to 4.2 because ∠PQR and ∠RQS have a sum of 114° so if you subtract 72 from 114 you get 42. Now if you simply divide 42 by 10 you get 4.2.

Answer:

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]

[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]

Convert equation to standard form

[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]

Answer:

c. 625.91

Step-by-step explanation:

took the quiz an got 100%

The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.

We have:

His card has a billing cycle of 30 days and an APR of 14.75%.

Here the list data is not mentioned, clearly. Transactions with the amount.

As we know, the APR is the annual percentage rate, which is 14.75%.

Monthly percentage rate = 14.75/12 = 1.22%

But we can calculate the new balance with the formula:

Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance

Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

Learn more about the APR here:

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Answer:

2240

Step-by-step explanation:

280*8= 2240

Answer:

357,340

35 is the tens place, and if it is 5 or larger we round up to in this case, 40

Answer:

357340

Step-by-step explanation:

it is equal to 60 using pemdas

Answer:

amount spend on groceries = 82.80

percent spend in groceries = 15%

let total paycheck be x

15%of x= 82.80

x=552

percent spend on bills = 132.48/552 = 24%

Step-by-step explanation:

Answer:

6.75kg of fruit

Step-by-step explanation:

5 + 1 = 6

.15 + .6 = .75

6 + .75 = 6.75

Answer:

6.75

Step-by-step explanation:

Add 5.15 and 1.60

5.15

1.60

6.75

Answer:

7.5 cups pf rice

Step-by-step explanation:

45 divided by 6

Answer:

478 hours

Step-by-step explanation:

You would divide 239,000 by 500.

It is 2.1 km from Mary's house to the nearest mailbox.

How far is it in metres.

1 km = 1,000 m

2 km = 2 × 1,000 = 2,000 m

2.1 km = ( 2,000 + 100 ) m = 2,100 m

2,100 m

Therefore, It is 2,100 metre far away from Mary's house.

Answer:

Sqrt(7) is irrational because 7 is not a perfect square.

7.1234... is irrational because it is a nonterminating nonrepeating decimal.

Step-by-step explanation:

A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.

An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.

All options other than the two selected do not make sense.  Pi is irrational because it is a nonrepeating nonterminating decimal.

Cheers.

Answer:

$24.400

Step-by-step explanation:

it means you should round to hundredth place

$24.37

Answer:

The answer is -7 degrees. :)

Step-by-step explanation:

-5+9-11=7

Answer:

I would say -7 degrees

Step-by-step explanation:

Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7

Step-by-step explanation:

The factors of 6-1,2,3,6

The factors of 14-1,2,12,14

The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.

Answer:

x= -36

Step-by-step explanation:

Hope this helps.

Answer:

[tex]x = -36[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]10x + 36 = 8x - 36[/tex]

-Subtract [tex]8x[/tex] from [tex]10x[/tex] :

[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]

[tex]2x + 36 = -36[/tex]

-Subtract both sides of the equation by [tex]36[/tex] :

[tex]2x + 36 - 36 = -36 -36[/tex]

[tex]2x = -72[/tex]

-Take [tex]2x[/tex] divide it on both sides:

[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]

[tex]x = -36[/tex]

So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].

Answer:

Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.

Step-by-step explanation:

Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.

Answer:

Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

☽------------❀-------------☾

Hi there!

~

[tex]1, 2, 3, 6, 9, 18[/tex]

The factor pairs of 18 are:

[tex]1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation:

1*18=18

2*9=18

3*6=18

There are no other factors, Hope this helps!!