A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of

soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?

Caleb had to share 3 1/4 boxes of supplies with his 12 classmates. So, the fraction of each student receives 13/48 of a box of supplies.

To find out what fraction of a box each student receives, we need to divide the total number of boxes (3 1/4 boxes) by the number of students (12 classmates).

Step 1: Convert 3 1/4 to an improper fraction.

3 1/4 = (4 × 3 + 1) / 4 = 13/4

Step 2: Divide the total number of boxes by the number of students.

Fraction of a box per student = (Total boxes) / (Number of students)

Fraction of a box per student = 13/4 ÷ 12

Step 3: To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number (flipping the fraction).

Fraction of a box per student = 13/4 × 1/12

Step 4: Simplify the fraction if possible.

Fraction of a box per student = 13/4 × 1/12 = 13/48

So, each student receives 13/48 of a box of supplies.

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Answer:

16

Step-by-step explanation:

16 x 4 = 64

Nataly will have to put 16 cat stickers on each page.

Answer: it’s all in the picture

Step-by-step explanation: hope this helps

Answer:

-5

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

Step one:

given data

Each bagel cost $2.00

Also, the cost function is given as

[tex]F(x)=2x[/tex]

Step two:

Required

The total cost of bagels purchased

From the cost function, we can see already that Ayden Bought 2 Bagel, hence if one bagel cost $2 then

[tex]F(x)=2(2)\\\\F(x)=4[/tex]

The two bagels will cost $4

Answer: 9.

5(3) = 15 - 6 = 9. But if you have to switch to addition, 5(3) = 15 + 6 = 21. Hope this helps!

Answer:

9

Step-by-step explanation:

5*3=15

15-6=9

Answer:

The number of terms n in arithmetic series is n=25

Step-by-step explanation:

We are given:

a₁ = 13

d = 3

Sₙ = 1225

We need to find number of terms i.e n

The formula used will be: [tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Putting values and finding n

[tex]S_n=\frac{n}{2}(2a+(n-1)d)\\1225=\frac{n}{2}(2(13)+(n-1)3)\\1225=\frac{n}{2}(26+3n-3)\\1225=\frac{n}{2}(23+3n)\\2(1225)=n(23+3n)\\2450=23n+3n^2\\3n^2+23n-2450=0[/tex]

Now, solving using quadratic formula to find value of n:

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Putting values: a=3, b=23 and c=-2450

[tex]n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\n=\frac{-23\pm\sqrt{(23)^2-4(3)(-2450)}}{2(3)}\\n=\frac{-23\pm 173}{6}\\n=\frac{-23+ 173}{6}, n=\frac{-23- 173}{6}\\n=25, n=-\frac{98}{3}[/tex]

So, we get: [tex]n=25, n=-\frac{98}{3}[/tex]

Since number of terms can't be negative so, n= 25

So, the number of terms n in arithmetic series is n=25

Solve the rational equation by combining expressions and isolating the variable y (solve for y). So, nothing further can be done with this topic:

Answer: y=2x^2+4x+1

Answer:

five and thirty eight thousandths

Answer:

J=17 N=20 R=15

Step-by-step explanation:

J=Jane

R=Ruby

N=Nora

J=2R-13

N=5+R

J+N+R=52

(2R-13)+(5+R)+R=52

Slove for R and plug into each equation

Answer:

Ruby is 15, Jane is 17 and Nora is 20.

Step-by-step explanation:

Let x represent the age of Ruby.

Jane: 2x - 13

Ruby: x

Nora: x + 5

52 = (x) + (2x - 13) + (x + 5)

52 = x + 2x - 13 + x + 5

52 + 13 - 5 = x + 2x + x

60 = 4x

x = 15

Jane:

2(15) -13

= 17

Nora:

(15) + 5

= 20

Using mid point formula.

In which we have

Q(-4,5)=(6+x/2) , (2+y/2)

-4=6+x/2 and 5 =2+y/2

-8=6+x and 10=2+y

x=-14 and y=8

Therefore the required value of R{-14,8}

Answer:

179.37

Step-by-step explanation:

35874 ÷ 200 = 179.37

Answer:

fg (gx)= xf (kg)

gf (fx) = f

Answer:

Moderately confident

Step-by-step explanation:

Given that :

Correlation Coefficient = 0.793

The correlation Coefficient gives the strength of relationship between linear variables ranging from - 1 to 1.with values close to either - 1 or 1 depicting strong negative or positive correlation respectively, while values close to 0 signifies a weak correlation. Since the correlation Coefficient Given by the model is close to 1(0.793) one can be moderately confident that the value obtained from the model will be reasonably close to the actual value.

Answer:

1%

Assuming that interest is paid yearly,

4000 = 2000*(1+x)^8

2 = (1+x)^8

1 + x = root of 2 in 8th degree (2^1/8)

x = 2^1/8 - 1

x = 0.0905

or 0.01

I.e. 1%

Answer:

12.5

Step-by-step explanation:

2000 / 12.5 = 225

225 x 8 = 200

Answer:

Let x equal number of months

Plan A: 10x+80

Plan B: 20x

Step-by-step explanation:

Hope this helps you :) Have a good day

Answer:

63.75

Step-by-step explanation:

this is a geometric progression with a common ratio of -1/2

the formula for the sum of first n numbers is

Sn = (a1(1-r^n)) / 1 - r

so S8 = (32*(1 - 1/2^8)) / (1 - 1/2)

32*(255/256) / 0.5

Sn= 255 / 4 = 63.75

Answer:

2

Step-by-step explanation:

18, 24, and 46 can be divided by 2

The statement that best describes a rational number when expressed as a decimal is a rational number in decimal form either terminates or repeats.

A rational number is a number that can be expressed as a fraction of two integers. Examples of rational numbers are 1, 1/2 and 0.1.  

A decimal is a non-integer that is made up of a whole number and non-integers. The whole number and the integers are separated by a decimal point. Examples of decimals are 0.3, 1.5.

A terminating decimal a decimal which can be expressed as a finite number of figures. A repeating decimal is a decimal that has a digit that repeat without ending.

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Answer:

Number of students

5

8

Step-by-step explanation:

Edg 2020

Answer:

number of students,5,8

Step-by-step explanation:

The measure of angle SQR is 74

The angles are given as

2m + 4 and 3m + 1

These angles are same side interior angles

So, we have

2m + 4 + 3m + 1 = 180

Collect the like terms

So, we have

2m + 3m + 4  + 1 = 180

Evaluate the like terms

So, we have

5m = 175

Divide both sides by 5

m = 35

Substitute m = 35 in SQR = 2m + 4

SQR = 2 x 35 + 4

Evaluate

SQR = 74

Hence, the measure of angle SQR is 74

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Answer:

y=-1/2x+80

Step-by-step explanation:

Answer:

y = 1/2 + 80

I just divided the whole sequence by 6.50, so that y could end as 1y = etc.

Answer:

4.3068

Step-by-step explanation:

so what you do is 1.48 x 2.91

Answer:

= 4.39km

Step-by-step explanation:

Camp distance = 1.48Km

Distance travelled afterwards = 2.91km

Mountain Height = total distance travelled

So total distance = 1.48 + 2.91  

                         = 4.39km -----------> final answer

Answer:

yes

Step-by-step explanation:

bc Quick maths

Answer:

r=-8

Step-by-step explanation:

Answer:

79 Pints =

9.875 Gallons

so 10 gallons is more

Step-by-step explanation:

Answer:

A is the right answer for your question.

Answer:

169 knives

Step-by-step explanation:

What we know:

ZW threw 200 knives at Jotaro, then adds one more. This makes 201 knives, initially.

However, the RRD subtracts 32 from 201, making it 169 knives that ZW threw.

201 - 30 - 2 = 171 - 2 = 169 knives

Answer:

169 knives

Step-by-step explanation:

dio stopped time.

Answer:

SO you want me to figure out from year 2 or year4?

Step-by-step explanation: