Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.

Answer:

x = 5.4

Step-by-step explanation:

Corresponding sides are in proportion, that is

[tex]\frac{x}{7.2}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )

4x = 21.6 ( divide both sides by 4 )

x = 5.4

Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer:

the answer is 70

Step-by-step explanation:

its simple just BASIC =D

but at least its a win win you got yo answer i got my points GOOD DaY

Answer:

1680 ÷ 40320 = 24

Step-by-step explanation:

Answer:11111

Step-by-step explanation:

1

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

we add them which gets 440. afterwards we don't round since it's a profitable and stable amount

Answer:

24

Step-by-step explanation:

correct on plato

Answer:

3

Step-by-step explanation:

Answer:

answer would be 3!

Step-by-step explanation:

view the problem, it could be adding or subtracting. your welcome! c:

Answer:

60

Step-by-step explanation:

13+7=20  20=10=30  30+30= 60

Hope this helps!

Answer:15

Step-by-step explanation:

The percentage difference in the amounts made is 30%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Percentage difference= [ (amount made this year / amount made last year) - 1 ] x 100

'(650,000 / 500,000) - 1] x 100 = 30%

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Answer:

x = - 7, x = - 1

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

if;3=1.98 what about 2

3-1.98

2-?

2×1.98÷3=$1.32

Answer:5p-+q+r

Step-by-step explanation:

Answer:

to sum it up put all of the numbers ers in order and it is the middle number

Answer:

13, 21, 29, (35) , 38, 40, 49

Step-by-step explanation:

The medium is the number in the middle in an assorted number line so do least from greatest and pick one out of the middle

Question:

Here are five sums. Use the distributive property to write each sum as a product with two factors.

[tex](a)\ 2a + 7a[/tex]      [tex](b)\ 5z - 10[/tex]    [tex](c)\ c - c^2[/tex]      [tex](d)\ r + r+ r+ r[/tex]    [tex](e)\ 2x - \frac{1}{2}[/tex]

Answer:

[tex](a)\ 2a + 7a = 9a[/tex]

[tex](b)\ 5z - 10 = 5(z - 2)[/tex]

[tex](c)\ c - c^2 = c(1 - c)[/tex]

[tex](d)\ r + r + r + r = 4r[/tex]

[tex](e)\ 2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]

Step-by-step explanation:

Required

Apply distributive property

[tex](a)\ 2a + 7a[/tex]      

Apply distributive property [Factor out a]

[tex]2a + 7a = a(2 + 7)[/tex]

[tex]2a + 7a = a(9)[/tex]

Open bracket

[tex]2a + 7a = a*9[/tex]

[tex]2a + 7a = 9a[/tex]

[tex](b)\ 5z - 10[/tex]    

Express 10 as 5 * 2

[tex]5z - 10 = 5z - 5*2[/tex]

Apply distributive property [Factor out 5]

[tex]5z - 10 = 5(z - 2)[/tex]

[tex](c)\ c - c^2[/tex]      

Express c as c * c

[tex]c - c^2 = c - c * c[/tex]

Apply distributive property [Factor out c]

[tex]c - c^2 = c(1 - c)[/tex]

[tex](d)\ r + r+ r+ r[/tex]    

Express r as r * 1

[tex]r + r + r + r = r * 1 + r * 1 + r * 1 + r *1[/tex]

Apply distributive property [Factor out 1]

[tex]r + r + r + r = r(1+1+1+1)[/tex]

[tex]r + r + r + r = r * 4[/tex]

[tex]r + r + r + r = 4r[/tex]

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

Express 2x as 4x/2

[tex]2x - \frac{1}{2} = \frac{4x}{2} - \frac{1}{2}[/tex]

Apply distributive property [Factor out 1/2]

[tex]2x - \frac{1}{2} = \frac{1}{2}(4x - 1)[/tex]

Answer:

a^11 b^5

Step-by-step explanation:

basically you combine like terms on both sides of the division problem separately

which now becomes a^6b^3/a^-5 b^-2

then you divide which is just subtracting the exponents of like terms

a^(6--5) b^(3--2)

and then solve and you get the answer a^11 b^5

Answer:

Bill will earn more interest

He will earn $ 20,448.67 from his investment

Step-by-step explanation:

Firstly let us calculate Jim's earnings based on simple interest

A = P(1 + rt)

Calculation:

First, converting R percent to r

a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 15000(1 + (0.035 × 25)) = 28125

A = $28,125.00

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 3.5% per year for 25 years is $28,125.00 for Jim

Now let's us calculate bill's investment based on compound interest

Equation

A = P(1 + r)^t

A=15000(1+0.035)^25

A=15000(1.035)^25

A=15000*2.36324498427

A = $ 35,448.67

We see that Bill will earn

$ 20,448.67 from his investment

Answer:

2. reflexive property

4. transitive property

5. By angle angle side

Hope this helps

ALL THE BEST!!

Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

Answer:

130 points

Step-by-step explanation:

Given

[tex]Scorers: Duane,\ LeBron\ \&\ Chris[/tex]

[tex]D=Dwayne[/tex]

[tex]C = Chris[/tex]

[tex]L = LeBron[/tex]

So, we have:

[tex]L = 15 + C[/tex] --- 15 more than Chris

[tex]L =D -10[/tex] --- Same as Dwayne previous personal best

[tex]D = 55[/tex] -- Dwayne's point

Required

Find the total points

We have:

[tex]L = 15 + C[/tex]

[tex]L =D -10[/tex]

[tex]D = 55[/tex]

Substitute [tex]D = 55[/tex] in [tex]L =D -10[/tex]

[tex]L = 55 - 10[/tex]

[tex]L = 45[/tex]

Substitute [tex]L = 45[/tex] in [tex]L = 15 + C[/tex]

[tex]45 = 15 + C[/tex]

[tex]C =45 -15[/tex]

[tex]C =30[/tex]

So, we have:

[tex]D = 55[/tex]

[tex]L = 45[/tex]

[tex]C =30[/tex]

The total points is calculated as:

[tex]Total = D + L + C[/tex]

[tex]Total = 55 + 45 + 30[/tex]

[tex]Total = 130[/tex]

Answer:

Independent = Milk left in the gallon jug

Dependent = cups of milk poured

Step-by-step explanation:

In an experiment or a research, a variable is defined as the thing or a phenomenon that you are trying to found out or measure. Variables can be independent variable as well as the dependent variable.

Independent variable is the variable that the researcher or the experimenter can change or manipulate in the research. This variable does not depend on others and thus stands alone. Its value can be change or altered to find the changes in the dependent variables. They are used as treatment variables.

Whereas, the dependent variables are those variables that are dependent on the values of the independent variables. It is considered as the effect of the independent variable. An independent variable is often manipulated to measure the outcome in the dependent variable.

In the context, the cups of milk poured is the dependent variable and the independent variable is the amount of milk left in the jug.  

Answer:

x=-4

Step-by-step explanation:

1. Distribute

3(2x+8)=0

6x+24=0

2. Subtract 24 from both sides.

6x+24=0

6x+24-24=0-24

3. Simplify

6x=-24

4. Divide both sides of the equation by the same term

6x=-24

[tex]\frac{6x}{6}[/tex] = [tex]\frac{-24}{6}[/tex]

5. Simplify

x=-4

And thats the answer.

I hope this helps        :)

Answer:

y = -2x

Step-by-step explanation:

Answer:

C. No Solutions

Step-by-step explanation:

Answer:

C) no solutions

Step-by-step explanation:

7a+5(a+3)=8a+4(a+2)

7a+5a+15=8a+4a+8

12a+15=12a+8

-8           -8

12a+7=12a

No solutions

Answer:

Domain would be x ≥ -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

A function assigns values. The limit of the domain to make this function one to one is x≥3.

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

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Answer:

It comes from correct solution steps and is not a valid solution of the equation.

Step-by-step explanation:

The true statement about extraneous solutions is:

(c) It comes from correct solution steps and is not a valid solution of the equation.

An extraneous solution is a solution when put in the original equation does not give the correct value

However, the step to get the solution is true

Hence, the true statement about extraneous solutions is (c)

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