There are 26 students in Mrs. Augello’s math class. The number of boys is three less than the number of girls. Write a system of equations that represents the number of boys and girls.

The radius of grape is 1 cm

Solution:

Given that,

The volume of an object is equal to the ratio of its mass to density

[tex]Volume = \frac{mass}{density}[/tex]

From given,

Mass = 8.4 grams

Density = 2 grams per cubic centimeter

Substituting in above formula,

[tex]Volume = \frac{8.4}{2} = 4.2\ cm^3[/tex]

Given is a spherical grape

The formula for volume of sphere is given as:

[tex]Volume = \frac{4}{3} \pi r^3[/tex]

Where, "r" is the radius of sphere

[tex]4.2 = \frac{4}{3} \times 3.14 \times r^3\\\\4.2 = 4.187 \times r^3\\\\r^3 = \frac{4.2}{4.187}\\\\r^3 = 1.003\\\\\text{Take cube root on both sides}\\\\r = 1.000999 \approx 1[/tex]

Thus the radius of grape is 1 cm

Answer:

1.0 cm

Step-by-step explanation:

Answer: to get to what answer

Step-by-step explanation:

The free throw percentage is 72.34 %

Solution:

Given that, This season, a basketball player has made 34 of 47 free  throws

To find: Free throw percentage

The formula used is:

[tex]\text{Free throw percentage} = \frac{\text{number of throws by basketball player}}{\text{total number of throws}} \times 100[/tex]

From given,

Number of throws by basket player = 34

Total number of throws = 47

Therefore,

[tex]\text{Free throw percentage} = \frac{34}{47} \times 100\\\\\text{Free throw percentage} = 0.7234 \times 100\\\\\text{Free throw percentage} =72.34[/tex]

Thus free throw percentage is 72.34 %

Answer:

52 inches

Step-by-step explanation:

1ft= 12inches

4times 12=48 1/3of 12=4 48+4=52

Answer:

7 units  

Step-by-step explanation:

I plotted your points to form the polygon in the diagram below.

The vertical side joins the points (0 ,3) and (0, -4).

The vertical distance between them is

3 - (-4) = 3 + 4 = 7

The length of the vertical side is 7 units.

Answer:

7 units

Step-by-step explanation:

Answer:

100 apples are covered in sprinkles

Answer:

what equation there isn't one

Answer:

A or -x + 1 = 2 x + 3

Step-by-step explanation:

I got this for one of my test answers, but you did not include a picture so I'm not sure is this is the correct one

Answer:

3c-28

Step-by-step explanation:

Answer:-28+3c

Step-by-step explanation:

1)combine like factors

1-29=-28

-c+4c=3c

-28+3c

Answer:

angle 3 is 84 degree

Step-by-step explanation:

because angle 3 and angle 6 are equal

Answer:

y = [tex]\frac{1}{4}[/tex] x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = [tex]\frac{-5+3}{0-8}[/tex] = [tex]\frac{-2}{-8}[/tex] = [tex]\frac{1}{4}[/tex]

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = [tex]\frac{1}{4}[/tex] x - 5 ← equation of line

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - ( - 3)}{ - 5 - ( - 3)} = \frac{x - 8}{0 - 8} \\ \frac{y + 3}{ - 2} = \frac{x - 8}{ - 8} \\ - 8(y + 3) = - 2(x - 8) \\ - 8y - 24 = - 2x + 16 \\ 2x - 8y = 40[/tex]

Answer:

The correct answer is D. Makeup artists

Step-by-step explanation:

Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?

These are the total number of jobs expected in 2016:

A. Substance abuse and behavioral disorder counselors : 112,000

B. Personal finance advisers : 248,000

C. Home health aides : 1'171,000

D. Makeup artists: 3,000

The correct answer is D. Makeup artists

Answer:

d on edg

Step-by-step explanation:

The answer will be number (a).

Yo sup??

This question can only be solved when the power of 10 in both the numbers is same.

therefore we can express the two numbers as

12.04*10^23 and 3.01*10^23

Clearly we can now say that a>b

Hence a is greater

Hope this helps.

Answer:

39 degrees

Step-by-step explanation:

The angle of a straight line is 180 degrees. This is constant and will never change. You will add 57 and 84 to get 141 degrees for <LMP.  Take 180-141 to get 39 degrees for <PMN

Answer:

aaf ducks chicks h.c Khan ffc blackjack wUtah's hands perches yachts

Therefore I earn $50 interest

Therefore I earn $30.88 interest.

I would do the first one.

Step-by-step explanation:

A.

Given , I invested $500 at 5% simple interest for 2 years.

P=$500,  r =5% and t = 2 years

[tex]Interest (I) =\frac{P \times r \times t}{100}[/tex]

                  [tex]=\$\frac{500 \times 5 \times 2}{100}[/tex]

                   =$50

Therefore I earn $50 interest.

B.

Given , I invested $500 at 3% compounded monthly for 2 years.

P=$500,  r =3% = 0.03 and t = 2 years

[tex]Amount (A) =P(1+\frac{r}{n})^{nt}[/tex]  

                   [tex]=\$500(1+\frac{0.03}{12})^{ 2\times 12}[/tex]

                   =$530.88

Interest = $(530.88-530) = $30.88

I would do the first one.

Answer:

56.25

Step-by-step explanation:

We know that both of the angles m<KPN and m<OPN must add up to 90 degrees

We can create an equation as follows

[tex]90=(3x)+(x+15)\\90=4x+15\\75=4x\\x=75/4\\m<KPN = 3x = 3*\frac{75}{4} = 56.25[/tex]

Answer:

9p+8r-7

Step-by-step explanation:

1) subtract like terms: 12p-3p=9p

2) add unlike terms: 8r+9p -7

The given algebraic expression can be simplified as 8r+9p-7.

The given expression is 8r+12p-7-3p.

To simplify algebraic expression, simplify like terms in it.

In the given expression group the like terms, that is

8r+12p-3p-7

=8r+9p-7

Therefore, the given algebraic expression can be simplified as 8r+9p-7.

To learn more about an expression visit;

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Answer:

the answer is D

Step-by-step explanation:

the answer is D

Answer: Yeah It's D

Step-by-step explanation:  It's D

Answer:

−12x + 4

Step-by-step explanation:

1. Remove parentheses

x + 2 − x + 2 − 12x

2. Collect like terms.

(x − x − 12x) + (2 + 2)

3. Simplify.

−12x + 4

Answer:

Step-by-step explanation:

(x+2)-(x-2)-12x

x+2-x+2-12x

x+4-13x

-12x+4

=4(3x-1)

There will be 231 handshakes in total

Solution:

There are 22 people in a room

Everyone shakes everyone else’s hand exactly one time

To find: Total number of handshakes in total

Let,

n = total number of people that will shake hands

but since all (total) can't shake hands with themselves, hence we subtract one individual to start the handshaking

(n - 1) = people would each shake hands

hence we multiply both total number persons with people that will shake hands;

n(n - 1)

but that counts every handshake twice, so we have to divide by 2

Therefore;

[tex]\frac{n(n-1)}{2}[/tex]

Here, n = 22

[tex]\frac{n(n-1)}{2} = \frac{22(22-1)}{2} = 11 \times 21 = 231[/tex]

Thus there will be 231 handshakes in total

Answer: No

Step-by-step explanation:

The reason that it is not a right triangle is because there isn't an angle that is equal to 90 degrees

Answer:

ANswer is YES i trued it On IXL and it was yes

Step-by-step explanation:

Answer:

the decimal is 2.5

Answer: 5/2=2.5

Step-by-step explanation:

How I got this answer is how many times 5 can go into 2 or 5 divided by 2. So 5 divided by 2 is 2.5.

Answer:

I believe it should be $9.15

Step-by-step explanation:

Answer:

$9.15

Step-by-step explanation:

lets find the cost of 1-pound box first

is 32-pound box cost $24.40

then 1-pound box will cost $ 24.40 / 32 = $0.7625

To find how much a 12-pound box will cost, we'll simply multiply the cost of 1-pound box by 12

$0.7625 * 12= $9.15

Answer:

A = 4/7

B = 2/3

C = 2/5

Step-by-step explanation:

It's Easy.

Answer:

A is 4/7

B is 2/3

C is 2/5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(3*2 + 16x +9) + (-16x -12)

6 + 16x + 9 -16x -12

3

Answer:

Adults: $8

Children: $5

Step-by-step explanation:

First Step:

Let's represent The leas by: 2A + 3C = 31

Let's represent The Smiths Station by: 2A+2C=26

Second step:

Solve The leas expression for A → 2A + 3C = 31

[tex]A =\frac{31-3C}{2}[/tex]

Third step:

Replace A on The Smiths Station and solve for C:

2([tex]\frac{31-3c}{2}[/tex]) + 2C = 26

31-3C+2C = 26

31-C=26

31-26 = C

C= 5

Fourth step:

Replace C=5 in expression [tex]A =\frac{31-3C}{2}[/tex]

A = [tex]\frac{31-3*5}{2}[/tex] →→ A=[tex]\frac{31-15}{2}[/tex]  →→ A=[tex]\frac{16}{2}[/tex]  →→ A= 8

Answer:

8

Step-by-step explanation:

3x4=12

12x1/3=4

12-4=8

Answer:

12 students are in that class, 8 of them are present

Step-by-step explanation:

1/3 of the class = 4

1/3 * 3 = the whole class

4 * 3 = 12 = the whole class

Answer:

8

Step-by-step explanation:

The greatest common factor of 16k - 24 is 8.

The first step to find the greatest common factor (GCF) of 16k - 24 is to factor out any common terms. In this case, both 16k and 24 are divisible by 8, so we can factor out an 8: 8(2k - 3). Now, we need to look at the expression inside the parentheses, 2k - 3, and try to factor out any common terms. However, since 2k - 3 does not have any common factors, the GCF of 16k - 24 is simply 8.

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Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = [tex]\frac{-34}{7}[/tex]

Plugin x value into either equation to solve for y.

2y = (3 × [tex]\frac{-34}{7}[/tex]) + 10

2y =  [tex]\frac{-106}{7}[/tex] + 10

2y = [tex]\frac{-32}{7}[/tex]

y = [tex]\frac{-16}{7}[/tex]

Final answer:

By rewriting one equation to isolate y and substituting it into the other, the solution to the system of equations is determined to be {(-34/7, 16/7)}.

Explanation:

The solution to the system of equations provided is found by solving the equations simultaneously. We begin by expressing the second equation in terms of y:

Rewrite the second equation:

5y = 4x + 8

y = (4/5)x + 8/5.

Substitute y in the first equation:

3x - 2((4/5)x + 8/5) + 10 = 0.

Simplify and solve for x:

(3 - 8/5)x + (10 - 16/5) = 0

which gives us-

x = -34/7

Substitute x back into y = (4/5)x + 8/5 to find

y = 16/7

Thus, the solution to the system of equations is {(-34/7, 16/7)}.

Answer:

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Step-by-step explanation:

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