A truck driver is paid by the number of miles driven. If a truck driver earns $0.48 per mile, how many miles must the trucker drive in 1 hour to earn $17.00 per hour? Round to the nearest mile.

Answers

Answer 1
17.00÷0.48 is 35.4. If you round it it’ll be 35 miles.
Answer 2
Final answer:

To earn $17.00 per hour at a rate of $0.48 per mile, the truck driver needs to drive approximately 35 miles per hour.

Explanation:

To calculate the number of miles the truck driver must travel to earn $17.00 per hour at a rate of $0.48 per mile, one would set up a math problem to solve for the unknown variable, which in this case is the number of miles. We can accomplish this by dividing the desired total wage by the wage earned per mile.

Therefore: 17 ÷ 0.48 = 35.42. Since we cannot have fraction of miles and we must round up or down, we round to the nearest whole number as per the question's instructions, the truck driver must drive approximately 35 miles in one hour to earn $17.00.

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Related Questions

what is the focus of the parabola
[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]
enter your answer in the Box

I've seen so many wrong answers and I got it wrong on my quiz

answer: (-4,1)​

Answers

Answer:

(-4,1)

Step-by-step explanation:

The given parabola is

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

When we rewrite in vertex form, we get;

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

Or

[tex]{(x + 4)}^{2} = - 4( y - 2)[/tex]

When we compare to:

[tex]{(x - h)}^{2} = 4p( y - k)[/tex]

We have 4p=-4

This means p=-1

But the vertex is at:

(-4,2)

Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.

Hence the focus is (-4,1)


Plz help asap!!! Will give brainliest!!!


For a fund raising campaign, a club has a choice of buying products for $20 plus 50% of the sales or $100 plus 25% of the sales. For what level of sales would the club have to pay the same total with either deal

a: $3.20

b: $117

c: $320

d: $480

Answers

Answer:

C $320

Step-by-step explanation:

write equations for the two possible choices

situation 1:

y₁ = 20 + 0.5x, where y is the total price the club pays and x is the sales

** note i use 0.5 instead of 50, since 50 would represent 5000%

y₂ = 100 + 0.25x, where y is the total price the club pays and x is the sales

now set the two equations equal to each other

20 + 0.5x = 100 + 0.25x

isolate x by subtracting 0.25x and 20 from each side

20 + 0.5x - 0.25x - 20 = 100 + 0.25x -0.25x -20

0.25x = 80

divide both sides by 0.25

[tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{80}{0.25}[/tex]

x = 320

Answer is: $320


Explanation: $20 + 50% of $320 in sales =$180 and, $100 + 25% of $320 in sales = $180


I need help on these 2 questions. Algebra 1

Answers

Answer:

7. is G

8. f(4)=-120

Step-by-step explanation:

7. les do f(0)=4 since its the easiest

F. f(0)=0.4(0+5)(0-2)

    0.4*-2*5=-4                NOT IT. the ans. is +

G. f(0)=-0.4(0+5)(0-2)

    -0.4*-2*5=4               YESSSSSS

H. f(0)=-0.4(0-5)(0+2)

     -0.4*2*-5=4              YESSSSSS

J. f(0)=0.4(0-5)(0+2)

     0.4*2*-5=-4              NOT ITTTT

so G n H

 Put both equation=0

G. 0=-0.4(x+5)(x-2)

    x=-5,2     YASSSS this is the ans.

What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12

Answers

The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

Explanation:

The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]

To determine the solution of the equation, let us solve the equations by elimination method.

Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]

Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]

Adding these two equations, we have,

[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]

Dividing both sides by 23, we have,

[tex]\frac{23x}{23} =\frac{46}{23}[/tex]

  [tex]x=-2[/tex]

Thus, the value of x is [tex]x=-2[/tex]

Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,

[tex]4 (-2)+5 y=7[/tex]

    [tex]-8+5 y=7[/tex]

             [tex]5y=15[/tex]

               [tex]y=3[/tex]

Thus, the value of y is [tex]y=3[/tex]

Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

The solution to the system of equations, is: (-2, 3).

Solution to System of Equations

To find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.

Given:

4x + 5y = 7 --> Eqn. 13x – 2y = –12 --> Eqn. 2

Multiply eqn. 1 by 3 and eqn. 2 by 4:

12x + 15y = 21 --> Eqn. 1

12x – 8y = –48 --> Eqn. 2

Subtract:

23y = 69

Divide both sides by 23

y = 3

Substitute y = 3 into eqn. 1.

4x + 5(3) = 7

4x + 15 = 7

4x = 7 - 15

4x = -8

x = -2

Therefore, the solution to the system of equations, is: (-2, 3).

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A set of ordered pairs is called a _______. A. domain B. function C. range D. relation

Answers

A set of ordered pair is called a relation.

The correct option is D). Relation.

What is relation?

A collection of ordered pairs having one item from each set makes up a relation between two sets.

Any collection of ordered pairs is a relation.

The domain is the collection of all initial components of ordered pairs.

The range is the collection of all second components.

Tables, collections, equations with two variables, and graphs can all be used to depict relations.

And the function is a special type of relation.

Therefore, the blank word is relation.

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Final answer:

A set of ordered pairs is called a relation. Relations include all possible mappings of pairs, while a function is a specific type of relation where each input is paired with only one output. The correct answer is option (D).

Explanation:

A set of ordered pairs is called a relation. For example, if we have two sets A and B represented by ordered pairs, the domain of set A would be the set of all the first elements, and the range of set A would be the set of all the second elements.

It's important to note that a function is a specific type of relation where each element of the domain is associated with a unique element of the range, which means that each input (or argument) is mapped to exactly one output (or value).


a. At the beginning of the year, Addison Company’s assets are $300,000 and its equity is $100,000. During the year, assets increase $80,000 and liabilities increase $50,000. What is the equity at year-end?

Answers

Equity at the end of the year = $130,000

Step-by-step explanation:

Step 1:

Given ,

Asset of the company at beginning of year = $300,000

Equity  of the company at beginning of year = $100,000

Increase of the assets  during the year = $80,000

Increase of the liabilities  during the year =  $50,000

We need to find the equity at the year end.

Step 2 :

The equity at any point can be obtained by using the formula

equity = assets - liability

At the beginning of the year ,

100,000 = 300,000 - liability

So liability = 300,000 - 100,000 = 200,000

Step 3 :

During the year, assets increase $80,000 and liabilities increase $50,000

So assets at the year end = 300,000 + 80,000 = $380,000

liabilities at the year end = 200,000 + 50,000 = $250,000

Therefore

Equity at the year end = 380,000 - 250,000 = $130,000

Step 4 :

Answer :

Equity at the year end = $130,000

What does the x represent?

a.diameter
b. central angle
c. arc

Answers

A because it shows hi wide the circle is⭕️

What number is 0.01 less than 24

Answers

23.99 is the answer unless you want more
23.99 is the answer the question

(a) How would you characterize the relationship between the hours spent on homework and the test scores (Positive or Negative, Linear or Non-Linear)? Explain.


(b) Paul used the function y= 8x + 40 to model the situation. What score does the model predict for 4 hours of homework?


(c) What does the number 40 in Part (b) mean in the context of the situation?


Please don’t answer if you are guessing. Answer if you really know the answer. And if you don’t understand the three questions, answer the ones you do know.

Answers

Answer:

a) Positive linear

b) 72

c) Marks scored when no time is spend on homework.

Step-by-step explanation:

a) relationship between the hours spent on homework and the test scores

As the time spent on homework increases the test score increases.

Similarly if less time is spent on homework, there would be a decrease in test score.

The two variables are directly related.

Thus, there relationship can be expressed as a positive linear relationship.

b) The model function

[tex]y= 8x + 40[/tex]

where y is the test score and x is the time spent on homework in hours.

Score predicted by model when x = 4

[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]

Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.

c) Interpretation of 40

When x = 0

[tex]y(0)= 8(0) + 40 = 40[/tex]

Interpretation:

Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.

Eva is saving money for a trip. She is able to save $52 a week. Her friend from Japan, Ryu,is also saving money. Ryu is able to save 5500 yen(Japanese money) each week. If $4 is equal to about 440 yen, who is saving at a greater rate?

Answers

Answer:

Eva

Step-by-step explanation:

If 4 dollar = 440 yen

Therefore, 1 dollar = (440 ÷ 4) yen

1 dollar = 110 yen

As Eva is saving 52 dollars per week, and Ryu is saving 5,500 yen per week, we have to convert dollar into yen to find who has saved more.

1 dollar = 110 yen

52 dollar = (52 × 110) = 5720 yen

It means Eva is saving 52 dollar which is equivalent to 5,700 yens. It is more than Ryu's saving account.

1. Find the kinetic energy of a ball moving at 45 m/s with a mass of 0.18kg.

Answers

Answer:

182.25 J

Step-by-step explanation:

KE = (0.5)*m*v^2

KE = (0.5)*(0.18 kg)*(45 m/s)^2

KE = 182.25 Joules

Hope this helps!

Final answer:

The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.

Explanation:

The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.

KE = (1/2) imes 0.18 kg  imes (45 m/s)²

= 0.09 kg imes 2025 (m/s)²

= 182.25 joules

Therefore, the kinetic energy of the ball is 182.25 joules.

Bowser bought mushrooms
at the farmer's market. He
paid $4.32 for 6 pounds of
mushrooms. At that rate,
how much should he pay for
5 pounds of mushrooms?

Answers

The amount he should pay for 5 pounds of mushrooms is $3.6

Step-by-step explanation:

Given data is that,

Bowser bought 6 pounds of  mushrooms at a rate of $4.32

At the same rate, determining that how much he should pay for 5 pounds of mushrooms is given by the rate formula.

Rate = total cost / total number of mushrooms

Now, Rate = 4.32 / 6

Let us assume, the cost for 5 pounds as 'x' dollars.

Therefore, Rate = x / 5

To find the value of x, compare both the rates :

⇒ 4.32 / 6 = x / 5

bringing 5 to the left side of the equation,

⇒ (4.32×5) / 6 = x

⇒ x = 21.6 / 6

⇒ x = 3.6 dollars

The amount he should pay for 5 pounds of mushrooms is $3.6

What are the solutions to the quadratic equation 3(x – 4)2 = 75?
x= -9 and x = 1
x= -5 and x = 5
x = -4 and x = 4
x= -1 and x = 9

Answers

Answer:

x = -1 and x = 9.

Step-by-step explanation:

3(x – 4)^2 = 75

(x - 4)^2 = 75/3 = 25

Taking square roots of both sides:

x - 4 = +/- 5

x  = -5+4 and  5 + 4

x = -1 and 9.

Answer:

d

Step-by-step explanation:

test

3 less than the quotient of a p and 7

A.P/7 - 3
B.7P-3
C.3- 7P
D.3- P/7


plz help! if correct you will get brainly

Answers

Answer:

I think the answer is A. P/7 - 3

Step-by-step explanation:

Lashonda bought a suit on sale for $603. This price was 33% less than the original price.

Answers

Answer:

$404.01 dollars

Step-by-step explanation:

603*33%=198.99

600-198.99=$404.01

MARK BRAINLIEST

Answer:

The suit costs $401.01

Step-by-step explanation:

$603.00 x .33 = $198.99

600.00 - 198.99 = 401.01

A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%, how much does she have in each account?​

Answers

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

[tex]x = 3y[/tex]

The total interest is $1,350.

Thus, we can write the equation:

[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]

Solving the two equations by substitution method:

[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Helpppp How do y’all do this

Answers

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

x=4

Step-by-step explanation:

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

The price of a bike went down by $150. The new price is $475. Which expression shows the price of the bike before the sale?

Answers

Answer:

475+150=Price before sale

Step-by-step explanation:

Answer:

$475+$150 =$525. 525 is the total price before the sale

A 5-foot piece of copper wire costs $24.60. What is the price per inch?

Answers

Answer: 41 cents

Step-by-step explanation:

$24.6/60inches=.41 cents

5*12=60in

41 cents because 5 feet is 60 inches and 60 goes into $24.60 .41 times

Find
196
O A) 14
OB) 13
OC) 17
OD 15

Answers

It would be 14 if you are trying to find the factors

Vhich graph represents the function f(x) = x2 + 5?

Answers

Answer:

I would say Graph 2 because if its showing f(x)=x2+5

there are no negatives in this equation, so I think it is graph 2

The graph of the function is attached to the solution.

The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,

Since, there is no negative sign so, the parabola will be opened up,

Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.

So, the graph will be an upward opened parabola with its vertex at (0, 5)

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How do i write the decimal of 214.013 in words?

Answers

two hundred fourteen and thirteen thousandths

Answer: two hundred fourteen and thirteen thousandths

Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.

what is the area of this star?

Answers

Answer:

9.45cm^2

Step-by-step explanation:

1.5*1.5=2.25

A=BH/2

2.4*1.5/2=1.8

1.8*4=7.2

7.2+2.25=9.45

Answer:

Step-by-step explanation:

2.4 x 1.5/2 to get the area of the triangle

so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do

1.8 x 4= 7.2

and the middle part is 1.5 x 1.5 which is 2.25

and do 7.2 plus 2.25 which is 9.45cm

what is x to the power of two over three in parenthesis to the power of five over two

Answers

Answer:

[tex]x^{\frac{5}{3} }[/tex]

Step-by-step explanation:

You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]

Given b(x) = [X+41, what is b(-10)?
– 10
-6
6
14

Answers

Option C: 6 is the value of [tex]b(-10)[/tex]

Explanation:

The given expression is [tex]b(x)=|x+4|[/tex]

We need to determine the value of [tex]b(-10)[/tex]

To find the value of [tex]b(-10)[/tex], let us substitute [tex]x=-10[/tex] in the given expression.

Thus, substituting [tex]x=-10[/tex] in the expression, we have,

[tex]b(-10)=|-10+4|[/tex]

Adding the terms, we get,

[tex]b(-10)=|-6|[/tex]

Since, we know the absolute rule that [tex]|-a|=a[/tex] and the simplified expression is of the form [tex]|-a|[/tex] , let us apply the absolute rule in the simplified expression.

Thus, we have,

[tex]b(-10)=6[/tex]

Thus, the value of [tex]b(-10)[/tex] is 6.

Hence, Option C is the correct answer.

In ΔABC, if AB = 14 and BC = 9, AC may be equal to

Answers

Answer:

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Step-by-step explanation:

There is a fact in any triangle:

The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides

If the lengths of the three sides of a triangle are a , b and c, then

a - b < c < a + bb - c < a < b + ca - c < b < a + c

In Δ ABC:

→ (BC) - (AC) < AB < (BC) + (AC)

→ (AB) - (AC) < BC < (AB) + (AC)

→ (AB) - (BC) < AC < (AB) + (BC)

∵ AB = 14 units

∵ BC = 9 units

- Find the sum and difference of them

∵ AB - BC = 14 - 9

∴ AB - BC = 5

∵ AB + BC = 14 + 9

∴ AB + BC = 23

- That means the length of AC could be any integer greater

    than 5 and smaller than 23

5 < AC < 23

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Answer:

Answer = 13

Step-by-step explanation:

What is the answer .08(7.97+v)=0.833

Answers

Answer: V=-6.9325 or V=-6.93

Step-by-step explanation:

0.8(7.97+v)=0.833

6.376+0.8v=0.833

-6.379          -6.379

0.8v=-5.546

divide both sides by 0.8 to get v by itself

v=-6.9325

rounded up can get you

v= -6.93

please give brainliest!

The bus charged $4.50 for a ride plus $1.25 per mile. How many complete miles could Frank travel for $20?

Answers

Answer: Frank could travel about 4 miles

Step-by-step explanation:

Hey There!

The answer you are looking for is;

12 Miles!

Explanation:

First you subtract $4.50 from $20.

= $15.50

Then every mile after that is subtracting $1.25

We can divide $15.50 by $1.25

= 12.4

Since the question is asking how many COMPLETE miles Frank could travel, you do not include the decimal.

= 12 miles.

Hope I helped! Please rate 5 Stars & Mark Brainliest!

1. Juan paid $2.52 for 12 ounces of peanuts
What is the unit rate?

P.S I’m in 6th grade and I need to know if I got this right please!!

Answers

Answer:

$0.21

Step-by-step explanation:

2.52/12

In the diagram, ABC = AWRS. What is the perimeter of
AWRS?
10 units
11 units
12 units
13 units

Answers

There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.

Answer:

the answer is c

Step-by-step explanation:

I just did this

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