Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?

Answer:

Circumference = 2πr=2×

7

22

​

×7=44 cm

Area = πr

2

=

7

22

​

×7×7=154 cm

2

Answer:

With a circle with radius 7 cm, the circumference of given circle is 14π (cm) and the area is 49π (cm²).

Step-by-step explanation:

Given: radius = 7 cm

Circumference of a circle: C = 2πr

C = 2πr

Substitute given value radius.

C = 2π(7)

Multiply 7 and 2.

C = 14π cm.

Area of a circle: A = πr²

A = πr²

Substitute given value radius.

A = π(7)²

Square the 7.

A = 49π cm²

Answer:

17

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 10\overline{|\smallspace170}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace7\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace7\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

Step-by-step explanation:

9y - 5 + 9y - 1 = 9y + 9y - 5 - 1

= (9 + 9)y - 6

= 18y - 6

Answer:

See the picture below.

Step-by-step explanation:

The correct options applied for the question are-

B.The solution's exponent is -12.

C.The solution's coefficient ≥ 1 but < than 10.

D 3.0×10⁻¹² is the quotient.

As, per the given question,

The equation stated can be written as;

= (9.6×10⁻⁸)/(3.2×10⁴)

Use the power rule of exponents;

= (9.6×10⁻⁸×10⁻⁴)/(3.2)

Add both the power of base 10 with sign as the same base is there.

= ((9.6×10⁻⁸⁻⁴)/(3.2)

= (9.6×10⁻¹²)/(3.2)

Divide the numerator by 3.2

= 3.0×10⁻¹²

The following conclusions are possible:

B.The solution's power of ten is -12, which is the difference of the original exponential function.

C.The coefficient is 3, which is greater than one but less than ten.

D. 3.0×10⁻¹² is the quotient.

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The complete question is-

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction

A.The coefficient of the solution is 6.4, the difference of the original coefficients.

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10-12

E.The solution is a very large number.

Answer: ur mom

Step-by-step explanation:

2.9% of the people in Antonie's middle school have an extra rib

Ribs are curved bones that are located in the chest, they help to protect the delicate organs in that part of the body.

About 2 in every 400 people have an extra rib

There are 580 people in Antoine's middle school

The number of people with an extra rib cage can be calculated as follows

= 580 × 2/400

= 1160/400

= 2.9

Hence 2.9% people have an extra rib cage.

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The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

Bowling alley A;

Their charges per game is $4 per game

Charges to rent shoes is $3.75

If number of games is x, then we have;

Total Cost = 3.75 + 4x

Bowling alley B;

Their charges per game is $4.50 per game

Charges to rent shoes is $2.50

If number of games is x, then we have;

Total Cost = 2.5 + 4.5x

Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;

2.5 + 4.5x > 3.75 + 4x

Rearrange to get like terms gives;

4.5x - 4x > 3.75 - 2.5

0.4x > 1.25

x > 1.25/0.4

x > 3.125

Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;

Bowling alley A: 5 or more games.

B)  Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;

3.75 + 4.5x > 2.5 + 4.5x

This means that the total cost will now always be greater at Bowling alley A

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The solution for x in the equation is x  = 2

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation is given as

x + 4 = 6

Subtract 4 from both sides of the equation

So, we have

x + 4 - 4 = 6 - 4

Evaluate the like terms

So, we have

x  = 2

Hence, the solution for x in the equation is x  = 2

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Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

Conjecture: Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

Conjecture: Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

Conjecture: Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Conjecture: Each term is the next consecutive prime number.

5. Correct as is

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Conjecture: Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

We add 5 to each number

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

Divide each number by 2

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

We have to cube n:

n³ = consecutive number cubed

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

We must add the two previous numbers to get the next term:

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

We get that the birds and the dancers will clock out again in 30 minutes.

We are given that:

a cuckoo clock has birds that pop out of their nests every 6 minutes.

And the dancers that pop out every 15 minutes.

Now, they have popped out the same time. For this to happen again, we will find the LCM of 6 and 15.

6 = 2 × 3

15 = 3 × 5

LCM = 2 × 3 × 5

LCM = 3 × 10

LCM = 30

So, they will pop out again after 30 minutes.

Therefore, we get that the birds and the dancers will clock out again in 30 minutes.

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Answer:

x= -6

Step-by-step explanation:

x/2+3=x+6

We have to isolate the variable.

x/2+3=x+6

-x       -x

-x/2+3=6

      -3  -3

-x/2=3

-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2

x=-6

Answer: i=-1.75

Step-by-step explanation:

3i - 6 = 7i + 1

3i-3i-6=7i-3i+1

-6=4i+1

-6-1=4i+1-1

4i=-7

i=-7/4

i=-1.75

Answer:

The value of x = 17

Step-by-step explanation:

=> 4x + 2 = 70°

=> 4x = 70 - 2

=> 4x = 68

=> x = 68/4

=> x = 17

Answer:150 ounces

Step-by-step explanation:

Step-by-step explanation:

with ABCD and ABDE being parallelograms, this means a indicated by the marks

AB = ED = CD

and with BD = DF that means that the line segments BF and CE are intersecting each other at their midpoint.

so they represent a pair of diagonals of a parallelogram, which makes BCFE a parallelogram.

Answer:

$2.92 per gallon of gas

Step-by-step explanation:

divide $46.72 and 16

$46.72 ÷ 16 gallons of gas = $2.92

$2.92 per gallon of gas

The amount due at maturity on Andres Michael's loan of interest rate of 3.75% is $20,431.75

What is effective monthly loan interest rate?

The loan effective monthly interest rate can be determined as the annual interest rate of 3.75% divided by 12 since there are 12 months in a year

effective monthly interest rate=3.75%/12

effective monthly interest rate=0.003125

loan balance after 4 months=$24,440*(1+0.003125)^4- $4,410

loan balance after 4 months=$20,336.94

loan balance after 12 months=$20,336.94*(1+0.003125)^8-$2,590

loan balance after 12 months=$18,260.96

balance at the 4 year(after another 36 months)=$18,260.96*(1+0.003125)^36

balance at the 4 year(after another 36 months)=$20,431.75

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Answer:

B

Step-by-step explanation:

I am not sure what kind of help you need here. the answer is kind of obvious, already revealed by the names of the lines (AB and CB). they meet or intersect at their joined point B.

Answer:

15.1

Step-by-step explanation:

Answer:

so the answer goes as stated in the picture my advice is to always work from the middle then subtract outwards

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is an angle that is adjacent to BEC?

two angles that have the same vertex and a side in common

so

angle BEA

Answer:

5 4/29

Step-by-step explanation:

Rewrite as 298/58 and do the math

Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

The possible coordinates of G are 9 or -17.

Answer:

there are 24 1/8 in 3

Step-by-step explanation:

8x3=24

If a recipe calls for 5/8 cup of milk for a cake. How much milk is in 1 2/7 cake

There are two eggs per cup of milk in this recipe.

In a cake recipe, there are 4 eggs and 2 cups of milk, thus there are 4 eggs and 2 cups of milk in total.

Now, the ratio of eggs to milk in this recipe is:

Totalnumberof eggs /

totalnumberof cups of milk

= 4/2

=  Number of eggs = 2

Consequently, there are two eggs per cup of milk in this recipe.

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Write the number as a fraction of 1 (one):

Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):

Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,

Note that multiplying by 10 is the same as moving the decimal point one place to the right.

Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.

The linear equation that gives the cost C (in dollars) for j jerseys is [tex]C = 23j_{1} + 19.80j_{2}[/tex].

From the question, the linear equation that gives the cost C (in dollars) for j jerseys can be derived as follows:

[tex]C = 23j_{1} + 19.80j_{2} ............................. (1)[/tex]

Where:

C = total cost of the two jersey

Cost per unit of sports jerseys with $345 cost = $345 / 15 = $23

Cost per unit of jerseys with $495 cost = $495 / $19.80

[tex]j_{1}[/tex] = units of sports jerseys with $345 cost

[tex]j_{2}[/tex] = units of jerseys with $495 cost

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