(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?

Answer:

Step-by-step explanation:

Answer:

I believe he slept for 9 hours of the day

Step-by-step explanation:

⅜ of 24

24 ÷ 8 = 3

3 × 3 = 9

The number of hours James slept is 9 hours.

In mathematics, an expression is a combination of symbols and numbers, often containing variables, that represents a quantity or a relationship between quantities.

Expressions can be simple or complex, and they can involve a variety of mathematical operations such as addition, subtraction, multiplication, and division.

The number of hours will be calculated as,

E = ⅜ of 24

E = 3 x ( 24 ÷ 8 )

E = 3 × 3

E = 9 hours

Therefore, the number of hours will be 9.

To know more about an expression follow

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Step-by-step explanation:

Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.

The two fractions with the same numerator and different denominators can not be equal.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.

The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.

The two divisions with similar numerators and various denominators can not be equivalent.

More about the Algebra link is given below.

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Answer:

9.81

Step-by-step explanation:

You have to add them up: 4.3943 +

                                            5.4157

                                            ----------

                                            9.8100

Answer:

1 1/4 is 10 minutes less than 1 hour and 25 minutes

Step-by-step explanation:

1 1/4 is equivalent to 1 hour and 15 minutes.

We get this by taking the 60 minutes we know are in an hour and multiplying  it by the 1/4

[tex]\frac{60}{1} *\frac{1}{4} = \frac{60}{4} = 15[/tex]

The difference between 25 minutes and 15 minutes is 10 minutes.

Answer:

11

Step-by-step explanation:

f(3)=(3)^2+2(3)-4

f(3)=9+2(3)-4

f(3)=9+6-4

f(3)=15-4

f(3)=11

Answer:

y = 6

Step-by-step explanation:

so since you have 2 variables, you need to find a substitution for one of them.

let's do that for y

let y = something in the second equation.

y = 18 - 3x

then plug this into the first equation

4x = 3(18 - 3x) - 2

4x = 54 - 9x -2

4x = 52 - 9x

13x = 52

x = 4

now you have x, plug it into any of the equations to find y.

4(4) = 3y - 2

16  = 3y - 2

18 = 3y

y = 6

Answer:

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 -----1

18= 3x+y -----2

Isolate the y in 2.

y = 18-3x -----3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Answer:

Neon is stable, hence has no charge.

Oxide (O2-) has a charge of -2

Cooper (Cu2+) has a charge of +2

Tin (Sn2+) has a charge of +2

hence overall charge = -2+2+2

Overall charge = +2

Answer:

84

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

75% is 3/4 of the whole.

Knowing this, you can divide 21 by the numerator (3)

21 ÷ 3 = 7

Since the denominator is 4,

You need to multiply 7 by 4.

7 × 4 = 28

The answer is 28

Answer:

D

Step-by-step explanation:

Answer:

s = -1

Explanation:

s − (−20) = 19

[ Simplify both sides of the equation ]

s + 20 = 19

[ Subtract 20 from both sides ]

s + 20 − 20 = 19 − 20

s = −1

- PNW

Answer:

7/15

Step-by-step explanation:

16 cause 24 divided by 1 1/2= 16

Answer:

22 hours.

Step-by-step explanation:

Using algebra:

6.5x = 143

6.5      6.5

   x  = 22

Answer:

Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

======================================================

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180

Answer:

[tex]s = 54m +160[/tex]

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

[tex](m_1,s_1) = (2,268)[/tex]

[tex](m_2,s_2) = (4,376)[/tex]

Next, we determine the slope, M:

[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]

[tex]M = \frac{376 - 268}{4-2}[/tex]

[tex]M = \frac{108}{2}[/tex]

[tex]M = 54[/tex]

The equation is then calculated as:

[tex]s - s_1 = M(m - m_1)[/tex]

Where:

[tex]M = 54[/tex]

[tex](m_1,s_1) = (2,268)[/tex]

So, we have:

[tex]s - 268 = 54(m - 2)[/tex]

Open bracket

[tex]s - 268 = 54m - 108[/tex]

Collect like terms

[tex]s = 54m - 108 + 268[/tex]

[tex]s = 54m +160[/tex]

Hence, the equation is: [tex]s = 54m +160[/tex]

Answer:

0.1105263157894737

Other:

Brainliest? Thanks!

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

B. We have,

SP = $ 104,

C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =

= 33.33 %

Hence, store did not mark up the price by 30%.

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

Answer:

y=-4x+1

Step-by-step explanation:

Graph (1,-3)

Go down 4 over one/ up left one

Get y-intercept

Then BOOM you got it

Answer:

y = -4x + 1

Step-by-step explanation:

We are given that a line has a slope of -4 and a point (1, -3).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept.

As we are already given the slope, we can immediately plug its value into the equation.

Substitute -4 as m in the equation.

y = -4x + b

Now we need to find b.

As the equation passes through the point (1, -3), we can use its values to help solve for b.

Substitute 1 as x and -3 as y.

-3 = -4(1) + b

Multiply.

-3 = -4 + b

Add 4 to both sides

1 = b

Substitute 1 as b in the equation.

y = -4x + 1

Topic: writing the equation of the line (slope-intercept form)

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Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

Answer:

y = 64

Step-by-step explanation:

The angles are supplementary, that is sum to 180° , thus

2(x + 6) + y = 180 ← substitute x = 52

2(52 + 6) + y = 180

2(58) + y = 180

116 + y = 180 ( subtract 116 from both sides )

y = 64

Answer:

It is most likely B from the graph

Answer:

b is the correct answer of the question

Answer:

Step-by-step explanation:

30. Given: rectangles QRST and RKST

     Prove: ΔQSK is isosceles

An isosceles triangle is a triangle which has two sides and two angles to be equal.

Thus,

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

Also, RT ≅ SK (opposite sides of rectangle RKST)

Thus,

RT ≅ QS  ≅ SK

Therefore,

ΔQSK is an isosceles triangle.

31. Given: Rectangles QRST, RKST and JQST

     Prove: JT ≅ KS

From rectangle QRST, the diagonals of rectangles are similar.

i.e RT ≅ QS (diagonal property)

But,

JT // QS and RT // KS

Thus,

JT ≅ QS (opposite sides of rectangle JQST)

also,

RT ≅ KS (opposite sides of rectangle RKST)

So that,

JT ≅ QS ≅ RT ≅ KS

Therefore,

JT ≅ KS