Mathematics Middle School

The relationship between the base and rate a plumber charges and his hourly fee is modeled by the linear function f (x) = 25x + 100 where x is the number of hours he works. What is the total bill if the plumber works for 6 hours ?

Answers

Answer 1
f(6)=25(6)+100
f(6)=150+100
f(6)=250
Final answer: $250

Related Questions

what is 24 2/3 divided by 1 3/4

Answers

296/21 is the answer hope this helps 

Answer:

Step-by-step explanation:

First, you should convert the mixed fractions into an improper fraction.

74/3 divided by 7/4

As you should know, any fraction divided by another is that fraction times the reciprocal of the other fraction.

74/3*4/7

There fore leaving 296/21 as the answer.

Mrs. Chin paid a 20 percent tip on the bill for lunch. If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?

Answers

2.75 x 100 / .20 = 13.75

double check

$13.75 x 0.25 = $2.75

so answer
The bill was $13.75 for lunch before the tip added
20/100 × x = $2.75
cross multiply,
20 × x = 2.75 × 100
20x = 275
x = 275/20
x = $13.75

lunch bill = $13.75

Dave is helping his grandmother make trail mix. His grandmother asks him to add cup of fruit for every cup of nuts.
To satisfy his grandmother’s request, Dave must mix cups of fruit for a single cup of nuts.

Answers

Dave is helping his grandmother make trail mix. His grandmother asks him to add cup of fruit for every cup of nuts.To satisfy his grandmother’s request, Dave must mix 3/5 4/5 1 1/5 1 2/3 cups of fruit for a single cup of nuts.

To satisfy his grandmother's request, Dave needs to mix [tex]\( \frac{1}{5} \)[/tex] cup of fruit for every [tex]\( \frac{1}{3} \)[/tex] cup of nuts.

To find out how many cups of fruit Dave needs to mix for a single cup of nuts, we need to find a common denominator for [tex]\( \frac{1}{5} \)[/tex]  and [tex]\( \frac{1}{3} \)[/tex], which is 15.

[tex]\[ \frac{1}{5} \times \frac{3}{3} = \frac{3}{15} \][/tex]

[tex]\[ \frac{1}{3} \times \frac{5}{5} = \frac{5}{15} \][/tex]

So, Dave needs to mix [tex]\( \frac{3}{15} \)[/tex] cup of fruit for every [tex]\( \frac{5}{15} \)[/tex] cup of nuts.

Therefore, to satisfy his grandmother's request, Dave must mix [tex]\( \frac{3}{15} \)[/tex] cup of fruit for a single cup of nuts.

The complete Question is given below:

dave is helping his grandmother make trail mix his grandmother asks him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, drave must mix ___ cups of fruit for a single cup of nuts

A mother bottlenose ate about 278 pounds of food in one week. About how much food did she eat in a day?

Answers

About 40 pounds is the answe
The dolphin ate exactly 39.7142857143 so if you round to the ones it's 40, to the tenths 39.7, to the hundredths 39.71, to the thousandth 39.714 and so on

combine like terms
2x+3y+9x-9y-5x+12y

Answers

6x+6y
Good luckkkkkkkkkkkk

Answer:

6x+6y

Step-by-step explanation:

Hope I get it correct

How much larger is one cubic foot than one cubic inch

Answers

One cubic foot is 12 times higher, wider and thicker. So its 1728 larger.

the three digit number 49x is divisible by 4 with no remainders. if the sum of the digits is divisible by 5 with no remainders, what is the number

Answers

(49x) / 4 , (4 + 9 + x) / 5

492 / 4 = 123
(4 + 9 + 2) / 5 = 15/5 = 3

ur number is 492

Akshat spent 3 hours each day driving to and form work. He opened an office closer to home and now drives 80 minutes to and form work. What is the percent of decrease in his commute time?

Answers

3*60 = 180 minutes

80/180 = 0.44

1-0.44 = 0.56

 it was a 56% decrease in commute time

Find the missing number

Answers

To find a divisor, divide the dividend by the quotient.

9.03/2.1= 4.3

Final answer: 4.3

If x = y − 2, simplify the expression x + 6. A. x + 4 B. x − 8 C. y + 4 D. y − 8

Answers

Since x=y-2, we can plug that into x+4 to get (y-2)+6=y+4

When measuring board footage for some exotic woods, a carpenter must use 1.25 inches for thickness rather than 1 inch in her calculations. Write 1.25 in expanded form.

Answers

1+0.20+0.05

Hope this helps!

Answer: [tex]1.25=1+0.2+0.005[/tex]

Step-by-step explanation:

Given : When measuring board footage for some exotic woods, a carpenter must use 1.25 inches for thickness rather than 1 inch in her calculations.

To write : 1.25 in expanded form.

When we write a decimal number in expanded form, we are showing the place value of each digit.

Now, 1.25 can be written as :

[tex]1.25=1+0.2+0.005[/tex]

Hence, the expanded form of [tex]1.25=1+0.2+0.005[/tex]


Latoya drove 585 miles in 9 hours.
At the same rate, how many miles would she drive in 5 hours?

Answers

585/9 = 65 miles per hour

65 x 5 = 325 miles

 she would drive 325 miles in 5 hours

Proportion
[tex]\frac{x}{5}=\frac{585}{9}\\\\ \frac{x}{5}=\frac{65}{1}\\\\ 1\times x=5\times 65\\\\ x=325[/tex] miles in 5 hours

45/100 in simplest form

Answers

Hello there! How are you today?

First, let's take a look at our numbers.

45 / 100

Both of these numbers have a 0 and a 5, which means it is divisible by 5.
Let's divide both of them by 5.

45 / 5 = 9
100 / 5 = 20

We are now left with 9/20.

This is your simplified fraction since 9 and 20 do not have any common factors.

I hope this helps!

If the directrix of a parabola is the horizontal line y = 3, what is true of the parabola?
a)The focus is at (0, 3), and the equation for the parabola is y2 = 12x.
b)The focus is at (0, –3), and the equation for the parabola is x2 = –12y.
c)The focus is at (3, 0), and the equation for the parabola is x2 = 12y.
d)The focus is at (–3, 0), and the equation for the parabola is y2 = –12x.

Answers

The correct answer is b), or x² = -12y.

Explanation:
This equation may be written in standard form as
[tex]y=- \frac{1}{12} x^{2} [/tex]
The coefficient in front of x² is negative so the curve is downward.
The vertex has coordinates (0,0).
The vertex is equidistant from the directrix and the focus, so the focus is (0, -3).

Answer: on e2020 it’s b

Step-by-step explanation:

In a circle an arc 60 centimeters lon subtends an angle of 5 radians. What is the radius of the circle?

Answers

arc length = rθ    [r = radius of the circle, θ = central angle in radians]  ⇒

r = arc length/θ = 60/5 = 12 cm

Jeremy created a small garden that measured 5 times 7.5 feet how many 10 feet rolls of fencing will he need to completely surround the garden?

Answers

Jeremy will need 3.75 rolls of fence to completely surround the garden but if you are rounding he will need 4.
3.75 but 4 if rounding

The difference between the square roots of a number is 30. What is the number?

Answers

If x is the number,

[tex] \sqrt{x} -(- \sqrt{x} )=30[/tex]

(The difference or distance between two numbers is the larger one minus the smaller one.)

[tex]2 \sqrt{x} =30 \\ \sqrt{x} =15 \\ (\sqrt(x))^2=15^2 \\ x=225[/tex]

Estimate the circumference of the circle to the nearest hundredth. Use 3.14 the diameter is 11

Answers

Recall the circumference formula:  
[tex]c= \pi D[/tex]  
Now, plug in pi as 3.14 and D as 11:  
[tex]3.14 * 11 = 34.54[/tex]  
Your answer is 34.54.
Final answer:

The circumference of a circle with a diameter of 11 using 3.14 for pi is estimated to be 34.54 to the nearest hundredth.

Explanation:

To estimate the circumference of a circle to the nearest hundredth, we use the formula C = πd, where C is the circumference and d is the diameter of the circle. Given that the diameter is 11 and we should use 3.14 for π, the calculation is C = 3.14 × 11. Performing the multiplication gives us a result of 34.54, which is the estimated circumference of the circle to the nearest hundredth.

If f(x) = 3x + 10x and g(x) = 2x – 4, find (f – g)(x).

Answers

Final answer:

To find (f - g)(x), subtract the function g(x) from f(x) by expanding and combining like terms.

Explanation:

To find (f - g)(x), we need to subtract the function g(x) from f(x). The given functions are f(x) = 3x + 10x and g(x) = 2x - 4. Let's subtract g(x) from f(x):

(f - g)(x) = (3x + 10x) - (2x - 4)

Expanding the expression, we get:

(f - g)(x) = 3x + 10x - 2x + 4

Combining like terms, we simplify it to:

(f - g)(x) = 11x + 4

5 less than three times a number is 10

Answers

5•2=10
2 is less then 3

3x-5 =10

 add 5 to both sides

3x=15

 divide both sides by 3

x=5


check:

3(5)-5 = 15-5 = 10

What does 5 2/3 - 8 5/6 equal?

Answers

5 2/3 = 17/3 = 34/6

8 5/6 = 53/6

34/6 - 53/6 = -19/6 = -3 1/6


how to write 3x2+3y2+12x+18y-15 in general and standard format

Answers

see picture. The equation is already written in standard form.

Which of the following sets of numbers could be the side lengths of a right triangle?

3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29

Answers

I would say the answer is B 9, 40, and 42

the answer is  20,21,29 because  

20 times 20 is 400

21 times 21 is 441

and 29 times 29 is 841

the formula to ge tthe answer is a^2 + b^2 = c^2

20^2 + 21^2= 29^2

then plug the rest in

400+441= 841

which expression gives the distance between the points (4,6)and (7,-3)

Answers

The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2 so in this case:

d^2=(7-4)^2+(-3-6)^2

d^2=3^2+9^2

d^2=90

d=√90

d=3√10 units 

d≈9.49 units (to nearest hundredth of a unit)

Answer:

As shown in the image....

Step-by-step explanation:

This equation follows with the distance formula which is (x2-x1)+(y2-y1) squared.

Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

Answers

[tex]100n^2-1=10^2n^2-1=(10n)^2-1^2[/tex]

The correct answer is:

(10n)² − (1)²

Explanation:

If we evaluate this expression, we square everything in the first set of parentheses; this means we have 10²n² - 1², or 100n² - 1.

This is the expression we were trying to equal.

need the graphs diagram and answers thanks

Answers

y intercept = (0,11)

 line of symmetry = x = -3

What is the value of the number 7 in 43,782

Answers

The value number with be 700, tip if you need to find the value number I'll show a number example

572,962

What if the value number in 7?
Replace all the numbers behind the 7 into 0's
70,000

Hope that helps!

Miss Nelson works 154 hours each month he works eight months each year how many hours does Miss
Nelson work each year

Answers

154 hours x 8 months = 1232 hours over 8 months
154 times 8 equals 1232

Find the Area.

Triangle: A= 1/2 bh.

Answers

area = 1/2 b*h

1/2 *10 *015 =

1/2 * 150 =75

 area = 75 square feet

A = 1/2bh = 1/2 (15)(10) = 150/2 = 75

answer
75 ft^2

Xavier is two years more than twice as old as Yoko. The sum of their ages is 86. How old is Xavier?

Answers

Subtract 2 from 86 and then divide that by 2. Add the 2 back in and you get Xavier's age. The answer is 44.
The equation for this would be X+2X+2= 86, because X is yoko's age which is half the age pf Xavier hence the 2X plus two more years hence + 2. Now we combine like numbers so the equation becomes 3X+2=86. Now it's a simple alhebra question. Subtract 2 from both sides to get 3X=84. Finally divide 3 from both sides 84 divided by 3 is 28 so Yoko is 28. Using Order of operations we know to multiply 28 by 2 to get 56. Now add two to get 58.Make sure this is right by plugging those into the equation and see if 58 28 which does equal 86 so Xavier is 58 years old
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