Mathematics Middle School

A computer programmer charges $45 an hour for coding projects plus a start up fee of $150.

Write an equation in standard form to represent the total cost t of a project that takes h hours.

Answers

Answer 1
150 + 45h 

Sine 150 is a one-time fee and the 45, you are paying for each hour.
Answer 2

An equation in standard form is  C(t) = 150 + 45t

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. Let t be the time in hours then we can construct an equation as  C(t) = 150 + 45t

Hence, An equation in standard form representing the information  is  C(t) = 150 + 45t

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Related Questions

There is a frog jumping contest in Hippity Hop County. Leaping Larry jumps 18cm every 6 seconds.
Bouncing Billy jumps 7 cm every 3 seconds.
What is the difference in the distance they jumped at the end of 1 minute?

Answers

Leaping Larry jumps 180 cm every 1 min
Bouncing Billy jumps 140 cm every 1 min

180 - 140 = 40 cm difference

A couple plans to have four children. Using a tree diagram , obtain the sample space. Then, find the probability that the family has no boys.

Answers

Use b for boy and g for girl.

This is the resultant combinations:

b b b b
b b b g

b b g b
b b g g

b g b b
b g b g

b g g b
b g g g

g b b b
g b b g

g b g b
g b g g

g g b b
g g b g

g g g b
g g g g

If you count all the possibilities they are 16. Which is the same as 2^4 = 2*2*2*2, so I know that I didn't miss a combination.

The possibility of having no boys is one (g g g g combination) in 16, so the probability is 1 / 16 = 0,0625.



The probability that the family has no boys is [tex]\(\frac{1}{16}\)[/tex] or 0.0625.

At each level, the tree branches into two, representing the two possible genders for that child. Since there are four children, there will be [tex]\(2^4 = 16\)[/tex] branches at the end of the tree, each representing a unique sequence of genders for the four children.

The sample space, therefore, consists of 16 possible outcomes, which are:

1. BBBB

2. BBBG

3. BBGB

4. BBGG

5. BGBB

6. BGBG

7. BGGB

8. BGGG

9. GBBB

10. GBBG

11. GBGB

12. GBGG

13. GGBB

14. GGBG

15. GGGB

16. GGGG

Now, we want to find the probability that the family has no boys. From the sample space, there is only one outcome where all four children are girls (GGGG).

Since each outcome is equally likely, and there are 16 possible outcomes, the probability of having no boys is the number of favorable outcomes (in this case, 1) divided by the total number of possible outcomes (16).

Therefore, the probability [tex]\(P\)[/tex] of having no boys is:

[tex]\[ P(\text{no boys}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{16} \][/tex]

Simplify this equation for me please, thanks :D
7/8m + 9/10 - 2m - 3/5

Answers

7/8m + 9/10 - 2m - 3/5 = 3/10 - 9m/8

Hope this helps!

Is -4.08 bigger or smaller than -4.7

Answers

smaller because it's basicly like a fraction and and the bigger the number the smaller the piece
For negative numbers its the oppositve of positive numbers.

5>7
-4.08>-4.7

becuase the closer to zero the larger the number is for negative numbers only.

Mrs Delgado needs to buy 160 begonias. One plant costs $2. One flat with 20 plants cost $30. How many dollars will she save if she buys them by flat instead of separately?

Answers

$2 x 160 = $320 if Mrs Delgado wants to buy individual plant.

160 divided by 20 = 8 Mrs Delgado can buy 8 flats

8 x $30 = $240 

How much she saves = $320 - $240 = $80
Mrs Delgado saves $80 if she buys it from flat than separately 
The correct answer would $80 dollars I hope this helped you!!!!!!!!

Complete the following statement. If AB = BC and A,B,C are collinear, then b is the BLANK of AC

Answers

Answer:

the cube root

Step-by-step explanation:

The completed statement would be: "If AB = BC and A, B, C are collinear, then B is the midpoint of AC."

In the statement "AB = BC" and "A, B, C are collinear", we have three points [tex]\( A \), \( B \), and \( C \)[/tex] lying on the same line.

When [tex]\( AB = BC \)[/tex], it means that the distance from point A  to point B is equal to the distance from point [tex]\( B \)[/tex] to point [tex]\( C \)[/tex]. Geometrically, this implies that point [tex]\( B \)[/tex] is located exactly halfway between points [tex]\( A \)[/tex] and [tex]\( C \)[/tex] on the line.

So, in this scenario, [tex]\( B \)[/tex]serves as the midpoint of the line segment [tex]\( AC \),[/tex] dividing it into two equal parts. This is a fundamental property of collinear points and equality of segments in geometry.

Find the area 34 1/2 and 36 1/2

Answers

34.5 × 36.5 = 1,259.25. Don't forget to round if necessary and add units.

A square floor has 100 tiles. each tile is one square foot. what is the length of one side of the square floor?
A) 10 feet
B) 20 feet

Answers

Final answer:

The length of one side of the square floor is 10 feet because the square root of the total area (100 square feet) is 10.

Explanation:

The subject of this question involves understanding the properties of a square in geometry. In a square, all sides are equal. If the total area of the square floor is 100 square feet (since each tile is 1 square foot), you determine the length of a side by finding the square root of the total area. The square root of 100 is 10. So, each side of the floor is 10 feet long. Therefore, the correct answer is Option (A) 10 feet.

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how can you compare fractions with the same denominators

Answers

When 2 fractions have the same denominator, you can now subtract and add.

If the denominators are he same, then compare the numerators.

What percent of 52 is 12? Round answer to the nearest tenth.

Answers

23.076 is 12 of 52 percent

The first four terms of a sequence are shown below 1, 4, 7, 10. Which formula can be used to determine the nth term in the sequence

Answers

Final answer:

The nth term of the given arithmetic sequence 1, 4, 7, 10 can be determined using the formula 3n - 2.

Explanation:

The student is trying to find a formula that can be used to determine the nth term of a sequence given its first four terms: 1, 4, 7, 10.

This sequence is arithmetic, meaning each term increases by a constant difference, which in this case is 3.

To find the nth term of an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms. For this sequence:

a1 is 1 (the first term of the sequence)d is 3 (the difference between successive terms)

Substituting these values into the formula, we get:

an = 1 + (n - 1)×3

Therefore, the nth term an can be simplified to 3n - 2. So, the formula 3n - 2 can be used to determine the nth term in the sequence.

hey I need these by 8am or I'm screwed,
[tex]34.4 \div 4[/tex]
which is greater 214.001 or 214.01

2.5x 10³

Answers

34.4 / 4 = 8.6 

The value 214.01 is greater.

2.5 x 10^3 = 2,500

1 M = 100 CM
2 M = 200 CM
3 M = 300 CM
4 M = 400 CM
5 M = 500 CM
6 M = 600 CM
7 M = 700 CM

If you want detailed explanations after you get done with your classes ill be glad to explain. Happy studying!

on monday, steven read o pages of his new book. To finish the first chapter on tuesday, he needs to read double the number of pages he read on monday. How many pages does he need to read on tuesday?

Answers

He needs to read 0 pages. If he read nothing one day and the next day he needs to read double of nothing that is nothing.

What two fractions are equivalent to 24/84

Answers

12/42 because if you divide 24 by 2 you get 12 and divide 84 by 2 you get 42 and 4/14 because if you divide 24 and 84 by 6 you get 4 and 14

Multiply:

453
x 1.1
-------
A) 49.83
B) 56.43
C) 498.3
D) 564.3

Answers

c 498.3 hope it helps
step 1- simplify 11/10

step 2- 453* 11/10

step 3- 4983/10

step 4- 498.3000

so your answer would be C. 498.3 cause you round to the nearest 10th place value in 498.3000 and you get 498.3


hope this helps!

Blake sold 52 tickets to the school play, and Jane sold 8 tickets. What is the ratio , in simplest form, of the number of tickets Jane sold to the number of tickets Blake sold?

Answers

The ratio is 2:13
It starts out as 8:52, but you can take a 4 out of both simplifying it to 2:13
8:52 if you scale it down it would make
4:26
2:13 hope this helped:)

Nendell saw at a diner if he bought one of each item and spent $7.50, how much did the drink cost

Answers

All together: 3x + 0.05 + x + x + 0.10 = 7.50 

 5x + 0.15 = 7.50 

5x = 7.35 

 x = 1.47 

1.47 +0.10=1.57

so, the drink costs 1.57 

Each drink costs $1.57

Based on the information given,the equation to solve the question will be:

3x + 0.05 + x + x + 0.10 = 7.50

Collect like terms

5x + 0.15 = 7.50

5x = 7.35

Divide both side by 5

5x/5 = 7.35/5

x = 1.47

Therefore, the cost of drink will be:

x + 0.10 = 1.47 + 0.10 = 1.57

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D=2730 mi t=9.75 h find r

Answers

To solve this, we'll use the formula [tex]distance=rate*time[/tex]. We have distance and time, so we'll solve for rate:
[tex]r=\frac{d}{t}[/tex]
[tex]r=\frac{2730}{9.75}=280 mph[/tex]
Final answer:

The student can find the rate by using the formula r = D/t, which yields approximately 280 miles per hour when substituting the provided values.

Explanation:

The student is provided with distance (D) and time (t) and needs to find the rate (r). This is a typical problem that can be solved using the fundamental relationship between these variables, which is expressed by the equation D = r*t. To find r, we can rearrange this equation to get r = D/t.

Substituting the provided values into the formula gives r = 2730 mi/9.75 h = 280 mi/h approximately. Therefore, the rate or speed of the journey is 280 miles per hour.

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25 PTS!!! 3 students have gotten 3 different scores on a test, their scores were 87%, 75%, and 90%. Those 3 students want to know the average score for them.

Answers

The average of 87, 75, and 90 is 84. This is because if you add them all up you get 252 and divide it by 3 since there are 3 numbers, and you'll get 84.
First you would have to add all three scores together and get 252. Next you have to divide by how much numbers you have which is 3. So 252/3 is 84. 

The correct answer: 84%

What is the value of 1 + x ÷ 5, when x = 80?

Answers

I don't know, sorry bro. try www.maythway.com
80÷5=16
16+1= 17
The answer is 17, I hope this helps

y=2x+3 what type of graph represents the solutions of the equation?

Answers

It would be a positive slope

Please show work!!!!!!!
Ilya and Dan shared 360 hats in the ratio 7:5. How many more hats did Ilya have than Dan?

Answers

ilya ratio = 7
Dan's ratio= 5
total ratio = 7+5=12
ilya share of hats =
[tex] \frac{7}{12} \times 360 = 210[/tex]
dans share of hats =
[tex] \frac{5}{12} \times 360 = 150[/tex]
so ilya has 60 more hats than Dan
[tex]210 - 150 = 60[/tex]
The simplified ratio is Ilya:Dan:Total = 7:5:12
The non-simplified total is 360, so the ratio would be x:y:360
12•30=360, so you must multiply the other parts of the ratio by 30 in order to find out x and y
7•30=210
5•30=150
So, the ratio is 210:150:360
Ilya had 210 hats, Dan had 150, for a total of 360.
210-150=60
Ilya had 60 more hats than Dan

Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes
Y=16-6x
What does the number 16 in the equation represent

Answers

16 is the original distance her dance class was from home

16 is the original distance her dance class was from home.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Serena is cycling from a dance class to her home the equation shows Serena’s distance (y) in miles from her home after x minutes

Y = 16-6x

The given equation is the equation of the line with a slope of -6 and the y-intercept is 16.

Here, 16 is the original distance her dance class was from home.

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solve for t in scientific formula d=rt

Answers

The problem is: d=rt
you are solving for r

d=rt
--  --
t    t


you divide both sides by r, so your answer is:

d/t=r or r=d/t

I hope this helped! :))

What is the difference between px+q=r and p(x+q)=r

Answers

In the second equation, p distributes into both x and q, so 

p(x+q) = r

px + pq = r, while the first one is px + q = 4

hope this helps

A company earned $675 power washing driveways. They charged $45 to power wash each driveway. How many driveways did they power wash? A:10 B:11 C:14 D:15

Answers

D)15 because 675 divided by 45 is 15

Give brainliest answer Nadal invests $5,678 at an annual interest rate of 4.5 percent for 6 years. For which variable can Nadal substitute the value 5,678 in the simple interest formula?i-prt A.I B.p C.r D.t

Answers

5678(1+(0.045×6))
5678=P as it is the principal amount

Answer:

B. p

Step-by-step explanation:

Since, the simple interest is,

[tex]I=p\times r\times t[/tex]

Where, p is the invested or principal amount,

r is the annual rate of interest ( In decimal ),

t is the time ( In years ),

It is given,

$5,678 is invested at an annual interest rate of 4.5 percent for 6 years.

⇒ p = 5678, r = 4.5 % = 0.045 and t = 6,

Hence, he can substitute p for the value 5,678 in the simple interest formula.

sneakers are normally $89.99 but are discounted to $56.49. what percent of the original does raymond pay?

Answers

To find the percentage you will take 85.99-56.49=29.5 then take that and divide it by 100 which comes to .295 and you would round up making it 30% is the discount
hope this makes sense and helps good luck let me know if it's wrong
Okay. In order to find the percent of the original, let’s divide the discounted price into the original price. 56.49/89.99 is 0.6277 and other numbers behind it or 0.63 when rounded to the nearest hundredth. Now, multiply it by 100 to get the percentage and you get 63. There. Raymond pays 63% of the original price.

you can buy 5 cans for green beans at the village market for $3.60. You can buy 10 of the same cans of beans at Sam's club for $6.90. Which place is better buy?

Answers

At Sams Club 'cause it is cheaper for the deal; 10 divided by 5 is 2 and so $3.60 multiplied by 2 is $7.20

Final answer:

To find the better buy for cans of green beans, calculate the cost per can at both stores and compare. Sam's Club sells at $0.69 per can which is cheaper than the Village Market's $0.72 per can, hence Sam's Club is the better buy.

Explanation:

To determine which place offers a better buy for the cans of green beans, we need to calculate the price per can at both the Village Market and Sam's Club. Then, we can compare the two to see which is cheaper.

At the Village Market, 5 cans cost $3.60. To find the cost per can, divide $3.60 by 5. $3.60 ÷ 5 = $0.72 per can.

At Sam's Club, 10 cans cost $6.90. To find the cost per can, divide $6.90 by 10. $6.90 ÷ 10 = $0.69 per can.

Sam's Club offers a lower price per can than the Village Market, making it the better buy for the cans of green beans.

Which of the following is the correct way to write seventy million as a numeral? 7000,0000 70,00,00,00 700,00000 70,000,000

Answers

i would say 7,000,000,000,000,000,000,00,00,,0000,00
70,000,000 is the answer
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