The amount a babysitter earns is given by the equation y=7.5x where x is the number of hours and y is the amount earned in dollars. Is this relationship proportional?

x = [tex]\frac{n-p}{m}[/tex]

isolate x by dividing both sides by m

x = [tex]\frac{n-p}{m}[/tex]

Since it is true that 9=9, the answer x=2 works.

As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation.

Here are the properties of equality you need to isolate terms and solve equations.

The Subtraction Property of Equality is used when you have an equation with addition in it. It states that you can subtract the same quantity from both sides of the equation without changing the equality.

The Addition Property of Equality is used when you have an equation with subtraction in it. It states that you can add the same quantity to both sides of the equation without changing the equality.

The Division Property of Equality is used when you have an equation with a variable multiplied by a number. It states that you can divide both sides of an equation by the same quantity (as long as that quantity is not equal to zero) without changing the equality.

The Multiplication Property of Equality is used when you have an equation with a variable divided by a number. It states that you can multiply both sides of an equation by the same quantity without changing the equality.

Let’s look at an example and use properties of equality to isolate the variable and solve the equation.

Mark me as brainliest anser

567 would round out to 600. If you are also rounding the three, then that is one. The answer to that would be 600. If you aren't rounding the three, the answer would be 1800.

Answer:

1800

Step-by-step explanation:

567 = 600  rounded  to nearest hundred

3 * 600 = 1800

Answer: Greta is correct.

Explanation:

Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.

For example:

4x = 4(1) = 4 trees; and

4 x 5 = 20

but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.

Answer:

the answer is D

Step-by-step explanation:

Remark

One of the ways you could solve this is to go to a place like Desmos and graph it for yourself. Then at least you would know what the answer looked like. Another way is to solve for the x value by equating the equations since the y has to be the same. We'll do both.

Solve For X

(2/3)x + 1 = -(2/3)x - 1    Add 1 to both sides

(2/3)x + 1 + 1 = - 2/3x    Subtract (2/3x) from both sides.

2 = (-2/3)x - (2/3)x

Show the graph and comment

Notice that there is only one graph given that has a value of x = - 3/2 Normally you are not that lucky. Thanks for putting the graphs in. We are usually not that lucky and have to guess at the answer if it is a graph.

2 = - 4/3x                      Multiply both sides by 3

2 * 3 = - 4x    

6 = - 4x                          Divide by - 4

6/-4  = x                        Reduce

-3/2  = x

Remark

The x value is wrong for the one on the left.  It is also wrong for the third one from the left.  And the last graph is also incorrect.     Only the second from the left gives the right answer.                                      

Answer:

4397

Step-by-step explanation:

Because 9 is closer to another 0, so you would round the 6 to a 7.

Answer:

Amount of ribbon used = [tex]73 \frac{1}{8} yards[/tex] = 73.125 yards.

Explanation:

 Number of ribbon rolls = 15

 Number of wedding basket = 10

 Length of 1 ribbon roll = [tex]5\frac{3}{8}=\frac{5*8+3}{8} =\frac{43}{8}[/tex] yards.

Total length of 15 ribbon roll = [tex]15*\frac{43}{8} =\frac{645}{8}[/tex]yards.

Length of ribbon cutting from each basket = [tex]\frac{3}{4}[/tex]yards.

Total length of ribbon cutting from 10 baskets = [tex]10*\frac{3}{4}=\frac{15}{2}[/tex] yards

Amount of ribbon used

                  [tex]=\frac{645}{8}-\frac{15}{2}=\frac{645}{8}-\frac{15*4}{2*4}=\frac{645}{8}-\frac{60}{8}\\ \\ =\frac{585}{8} =73 \frac{1}{8} yards[/tex]

Amount of ribbon used = [tex]73 \frac{1}{8} yards[/tex] = 73.125 yards.

Answer:

a) R: { y | 0 ≤ y < 5 }

Step-by-step explanation:

The lowest point on the graph (-4, 0) - point painted over ( ≤ ).

The highest point of the chart - close (4, 5) - point not painted over ( < ).

Answer:

3.3x − 6.6 = 2.7x   ⇔   0.6x = 6.6

B is correct

Step-by-step explanation:

The equation 3.3x − 6.6 = 2.7x can be transformed to another form.

Given

3.3x − 6.6 = 2.7x

Move all variable same side. using subtraction property of equality

subtract 2.7x both sides

3.3x -2.7x − 6.6 = 0

         0.6x - 6.6 = 0

Addition property of equality

   0.6x = 6.6

Hence, The equivalent equation is 0.6x = 6.6

Answer:

Step-by-step explanation:

3.3x - 2.7x = 6.6

0.6x = 6.6

answer is B

answer is also 11

Answer:

-18

Step-by-step explanation:

The tall sticks around n+5 are absolute value signs. Basically, all you need to do is work out what the answer to the problem is inside the signs, then make whatever the answer is positive, then multiply by -9.

-7 + 5 = -2 (that turns into 2)

-9 x 2 = -18

Answer:

The correct answer is D) Alternate Exterior Angles

Answer: D) Alternate Exterior Angles

Step-by-step explanation: Did it on USATP !

Answer:

We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Step-by-step explanation:

The blend should,

Cost = $5

Weigh = 6 pounds.

Lets take the weight of $6 coffee as [tex]x[/tex] pounds

And lets take the weight of $3 coffee as [tex]y[/tex] pounds.

Lets write an equation for the weight of the blend,

[tex]x+y=6[/tex] <---------- 1st equation.

[tex]\frac{6x+3y}{x+y} =5[/tex]

=[tex]6x+3y=5x+5y[/tex]

=[tex]x=2y[/tex] <---------- 2nd equation

We can substitute to x in 1st equation from 2nd equation,

⇒[tex]2y+y=6[/tex]

=[tex]2y+y=6[/tex]

=[tex]3y=6[/tex]

=[tex]y=2[/tex]

We can substitute y value to 2nd equation to find x,

⇒[tex]x=2y[/tex]

=[tex]x=2*2[/tex]=[tex]x=4[/tex]

Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

-5-12=-17 so it is b)

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]

let y = [tex]\frac{3}{(2x)^{3} }[/tex] = [tex]\frac{3}{8}[/tex] [tex]x^{-3}[/tex]

differentiate using the power rule

[tex]\frac{d}{dx}[/tex] ([tex]ax^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{9}{8}[/tex][tex]x^{-4}[/tex] = - [tex]\frac{9}{8x^{4} }[/tex]

[tex]-2x(x^2-3)\qquad|\text{use distributive property}\\\\=(-2x)(x^2)+(-2x)(-3)=-2x^3+6x[/tex]

Obviously, if he were to only maximize his income he would put all money on the higher interest. But to reduce the risk he will balance the investment. He will put a fraction a (between 0 and 1) of the 710000 on 1% and the rest (1-a) on the 4.5%.  Both interests together must then satisfy to add up to 18000.

So written as an equation:

[tex]710000\cdot a\cdot 0.01 + 710000\cdot(1-a)\cdot 0.045 = 18000[/tex]

I am not going to solve step by step assuming you can solve for a (if not let me know) but the solution is

[tex]a = 279/497[/tex]

So that means he should put

[tex]710000\cdot \frac{279}{497} \approx 398571[/tex] on the 1% account, and the rest 311429 on the riskier 4.5% account.

3x+3 + 10x-4 +90 (because complementary angle add up to 90)

13x-1+90 (add 1)

13x/13=91 (divide 13 on both sides)

x=7

now you fill in 7 for x

m<K=24 and m<L=66

hope i helped

The measures of both angles are 24° and 66°.

Given:

m<K = 3x + 3

m<L = 10x-4

Note:

Complementary angles are angles whose sum equals 90 degrees.

Therefore:

[tex]m \angle K + m \angle L = 90^{o}[/tex]

Substitute

[tex](3x+3) + (10x-4) = 90[/tex]

Solve for x

[tex]3x+3 + 10x-4 = 90\\[/tex]

Add like terms

[tex]13x-1 = 90\\[/tex]

Add 1 to both sides

[tex]13x = 90 + 1\\13x = 91[/tex]

Divide both sides by 13

[tex]x= 7[/tex]

Substitute the value of x in each of the expressions of the two given complementary angles.

[tex]m\angle K = 3(7) + 3 = 21 + 3\\m\angle K = 24^{o}[/tex]

[tex]m\angle L = 10(7) - 4 = 70 - 4 \\m\angle L = 66^{o}[/tex]

Therefore, the measures of both complementary angles are: 24° and 66°.

Learn more about complementary angles here:

https://brainly.com/question/17287188

Let's assume

number of months =x

A high definition radio station charges $200 per year

so, we get point as (0,200)

Assume

f(x) is the total amount of charges in a year

we can see that this is linear relationship

so, we can use formula

[tex]f(x)=mx+b[/tex]

in addition to $50 per month for the first 3 months to receive its broadcast

so, m=50

we can plug it

[tex]f(x)=50x+b[/tex]

we can use point as (0,200)

[tex]200=50*0+b[/tex]

[tex]b=200[/tex]

now, we can plug it back

and we get

[tex]f(x)=50x+200[/tex]...............Answer

145 + c   = 380

145 - 145 + c = 380 - 145              -Subtract 145 from both sides of the equation

c = 235

So, they collected 235 cans in the second week.

Hope this helps!

To find out how many cans of food were collected in the second week, subtract the number of cans collected in the first week from the total number of cans collected in two weeks. The inequality representing the problem is c + 145 > 380. Solving the inequality, we find that more than 235 cans were collected in the second week.

To find out how many cans of food were collected in the second week, we can subtract the number of cans collected in the first week from the total number of cans collected in two weeks. Let's assign a variable, c, to represent the number of cans collected in the second week. The inequality that represents the problem is: c + 145 > 380. To solve this inequality, we need to isolate the variable by subtracting 145 from both sides: c > 380 - 145. Simplifying further, we get c > 235. So, more than 235 cans of food were collected in the second week.

https://brainly.com/question/32625151

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You should end around: (9,1) hope this helps!

if you move right 2 and left 3 one time you get 10.4, do it again you get 11.7 again 13.10

No, it does not have a straight line. (A)

Hello, floresvanexel4pejp1p

Your question: Does this graph represent a function?Why or why not?

My answer: No, Because there are no straight lines so in that order your answer will be A

Important:I hope my answer helped if it did please mark me as brainliest thank you and have the BEST day ever!

247x82=534 5 go in the hundreads place 3 go in the tens place and 4 go in the ones place

I believe it is 30% because you can divide 200 in half to get it out of 100, and then divide 60 in half to make it even! (i’m sorry if this doesn’t make sense)

Final answer:

To calculate what percent of people like rap out of 200 who came to a fundraiser, divide the 60 people who like rap by 200 and multiply by 100, resulting in 30% of people liking rap.

Explanation:

The question asks us to calculate what percent of people like rap out of 200 kids who came to a fundraiser. To find the percentage of people who like rap, we use the basic formula for finding percentages: (Part / Whole) × 100. Here, the 'Part' is the number of people who like rap, and the 'Whole' is the total number of kids who came to the fundraiser.

Given:
Part (people who like rap) = 60
Whole (total kids at the fundraiser) = 200

Using the formula, we calculate the percentage as follows:
(60 / 200) × 100 = 0.3 × 100 = 30%.

Therefore, 30% of the people at the fundraiser like rap.

.0000156

Hope I helped!

Good Luck!

Answer: There are 4 adults. Two males. 16 children.

Step-by-step explanation:

2 x 2 = 4

4 adults

4 x 5 = 20

20 + 4 = 24

24 = 24

Answer:

Exact same way:

4 adults,

2 males & 2 females,

and 16 children

Step-by-step explanation:

Exactly as his!

for the rectangular red paper :

w₁ = width of the red paper = 4 cm

L₁ = length of red paper = 2 w = 2 x 4 = 8 cm

A₁ = area of the red paper = L₁ w₁ = 8 x 4 = 32 cm²

for the rectangular blue paper :

w₂ = width of the blue paper = 3 cm

L₂ = length of blue paper = 7 cm

A₂ = area of the blue paper = L₂ w₂ = 7 x 3 = 21 cm²

area visible is given as

A = A₁ - A₂ = 32 cm² - 21 cm² = 11 cm²

so 11 square units of red paper will be visible on top

g(x) = ax²

We have a point (1, 5).

Substitute x = 1 and g(x) = 5

a(1²) = 5

a = 5

Answer: B. g(x) = 5x²

7 8/100 or 7 2/25 in lowest terms

7 2/25 is your answer

your welcome

The answer is seventeen