Mathematics High School

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer 1

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Related Questions

How to solve absolute value inequalities.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

I put a picture

—PLEASE HELP

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft

Therefore it's Area is equal to : -

[tex]side \times side[/tex]

[tex]x \times x[/tex]

[tex] {x}^{2} [/tex]

Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~

that is ~

[tex] {x}^{2} = \dfrac{1}{4} [/tex]

[tex]x = \sqrt{ \dfrac{1}{2} \times \dfrac{1}{2} } [/tex]

[tex]x = \dfrac{1}{2} \: \: feet[/tex]

It's time to find the volume of cube that is ~

[tex](side) {}^{3} [/tex]

So, let's plug the value of side length (1/2 ft)

Volume is equal to ~

[tex] { \bigg(\dfrac{1}{2} \bigg) }^{3} [/tex]

[tex] \dfrac{1}{8} \: \: ft {}^{3} [/tex]

Hence, the required 1/8 or 0.125 ft³

I hope it helped ~

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Step-by-step explanation:

side=Base=x

Area=side * side

Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]

Substitute values in the above formula:

[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x

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

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

Now,

The formula of volume of Cube:

Volume=x*x*x

Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:

Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft

Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]

If you need to ask any questions, please let me know.

he 134 sixth grade students sit together in the auditorium. Each row has 12 seats. How many rows do the sixth graders need

Answers

Answer:

Approximately 11.1666666667 rows

Step-by-step explanation:

134/12= 11.1666666667

Answer:

  12 rows

Step-by-step explanation:

  (134 students) / (12 students/row) = 11 2/12 rows

The 6th-graders will need 12 rows of seats. The last row will not be filled.

Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.

Answers

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?

Answers

Answer:

9

Step-by-step explanation:

need desperate help thanks

Answers

Answer:

x = 158

y = 22

Step-by-step explanation:

A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.

70 + 88 =  158

180 - 158 = 22

y = 22 degrees

Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.

180 - 22 = 158

x = 158 degrees

The triangle below models a section of the supports you might see in a construction crane.

a. What is the sum of the angle measures of the triangle? Show your work.

1. Alt interior = 60

2. angle A + angle B + 2 =180

3. x supplemental

4. Alt interior = 90

5. Supplimentary = 90

(A is already solved)

b. Check your answer to problem 3a. Show your work.

(Please answer b)​

Answers

Exactly what was your answer for a

what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.​

Answers

Answer:

7.44

Explanation:

MAD = 1/n sigma | xi - x of line |

Simplify. (−5)^5(−5)^−6

Answers

Answer:

Step-by-step explanation:

In exponents multiplication, if bases are same, add the powers

[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]

Answer:

Your answer would be:
-1/5 or -0.2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Rashid solves the following system of equations using the elimination method.

6x−5y=−315x+3y=10

What value does he correctly determine for x?

Enter you answer in the box.

Answers

The value for X is Y = x^4-6 I think

What are the coordinates of point P?



O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
P

Answers

Answer:

A

Step-by-step explanation:

crawl before you walk.

I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.

Answers

Answer:

38+9.49x < or = 100

Step-by-step explanation:

How to add rational expressions.

Answers

First, some general rules to remember:

Rational expressions (fractions) can only be added or subtracted if they have a common denominator.
The numerator and denominator of a fraction may be multiplied by the same quantity. This will result in a fraction that is equivalent to the original fraction.
For a fractional answer to be in final form, the fraction must be reduced to lowest terms.
Adding or subtracting rational expressions is a four-step process:

Write all fractions as equivalent fractions with a common denominator.
Combine the fractions as a single fraction that has the common denominator.
Simplify the expression in the top of the fraction.
Reduce the fraction to lowest terms.
To see this process, we'll look at some examples.


Example 1

Step 1: To find a common denominator, start by factoring the denominators of both fractions.



The least common denominator of these two fractions is 2(x+6)(x-6).

Looking at the first fraction, we can see that the factor missing from its denominator is (x-6). In the next step, we'll multiply the top and bottom of the first fraction by (x-6).

Looking at the second fraction, we can see that the factor missing from its denominator is 2. In the next step, we'll multiply the top and bottom of the second fraction by 2.






Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:






Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.



Step 4: Now we'll reduce the fraction to lowest terms










Example 2



Step 1: To find a common denominator, start by factoring the denominators of both fractions.



The least common denominator of these two fractions is (x+4)(x+1)(x+3).

Looking at the first fraction, we can see that the factor missing from its denominator is (x+3). In the next step, we'll multiply the top and bottom of the first fraction by (x+3).

Looking at the first fraction, we can see that the factor missing from its denominator is (x+4). In the next step, we'll multiply the top and bottom of the first fraction by (x+4).






Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:






Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.










Step 4: Now we'll reduce the fraction to lowest terms

10;11;15;15;17;22;11 what is the mode of this data?

Answers

Answer:

11, 15

Step-by-step explanation:

They both occur two times so they are tied for mode so both numbers is the answer

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Same line I think

Step-by-step explanation:

Both go through -2 in x axis

Answer:

Neither

Step-by-step explanation:

To find the slope of the line using the points, we use the equation:

y2 - y1 / x2 - x1

Which would make the lines as follows:

y = 4/3x - 1/3

y = 10/9x + 2/9

And since these lines intersect at point (2.5 , 3), that would make them Neither because the slopes are not mirrored or the same.

If I is parallel to m, solve for x.

Answers

Answer:

x = 16

Step-by-step explanation:

(8x - 14) = (5x + 34) since they are alternate exterior angles.

Solve for x:

8x - 5x - 14 = 34

3x - 14 = 34

3x = 34 + 14

3x = 48

x = 48/3  = 16

40.185 + 0.01
Round your answer to the nearest
hundredth.

Answers

Answer:

40

Step-by-step explanation:

Answer:

40.20 luv:)

Step-by-step explanation:

Solve for x I need help on this question

Answers

Answer:

[tex]x\approx7.8[/tex]

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(23^\circ)=\frac{x}{20}[/tex]

[tex]20sin(23^\circ)=x[/tex]

[tex]x=20sin(23^\circ)[/tex]

[tex]x\approx7.8[/tex]

Therefore, the length of the opposite side is about 7.8 units

Help! Keep getting it wrong, I suck at this. Question is in the picture. Thank you! Please show your work!

Answers

Answer:

D.

Step-by-step explanation:

Interest is earn at a rate of 4.46%/ year, while this is after 3 years

=> interest earned in 3 years: 3($1700 x 4.46%) = $227.46

How much $1700 will worth after 3 years: $1700 + $227.46 = $1927.46

Aight, I'm heading to bed now. It's 0:10 here

Pls help i am so lost

Answers

Answer:

x= 90 degrees

y=43 degrees

Step-by-step explanation:

What are the zero(s) of the function f(x) = 4x^2 - 36x/ x - 9

A) x= -9
B) x=0
C) x=9
D) x = 0 and x = 9

Answers

To find -intercept/zero, substitute
So
0=4x^2-36x / 9-x
Now x should be #9 bcz 9-9=0
So
0=4x x(x-9)/x-9
0=4x
X=0

Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run

Answers

Answer:

4 7/12

Step-by-step explanation:

What is the slope if the line is differeniable.

Answers

Step-by-step explanation:

you mean "differentiable" ?

well, remember, a line equation is

y = ax + b

a is the slope

it is always, ALWAYS the factor of x.

now we differentiate the line equation per dx/dy

y' = a

and that is that.

the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.

and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.

$75 to $25 show your work

Answers

Answer:

decrease

Step-by-step explanation:

the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75

Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.

Answers

The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18

According to the question:

We are required to select all the ratios that have the same constant of proportionality as Ada's observation.

let y and x represent amount of juice and oranges respectively;

y = juices squeezed out

x = Oranges squeezed in

y = k × x

5 = k × 3

5 = 3k

k = 5/3

The ratios equivalent to the constant of proportionality is 15/9, 30/18

Read more:

https://brainly.com/question/18611326

Answer:

Step-by-step explanation:

9:15 15:25 6:10

help asap for brainlist

Answers

Answer:

Option D

Step-by-step explanation:

(x + 8) (2x² - 5x - 3)

=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)

=> 2x³ + 11x² - 43x - 24

Hope this helps!

Question
Select the factored form of the expressions 3x2−11x−4

A (3x−4)(x+1)

B (3x−2)(x+2)

C (3x+1)(x−4)

D (3x−1)(x+4)

Answers

C) (3x+1)(x-4) hope this helps

im timed please help!! (see photo) ​

Answers

The answer is D - 9 + 8i

Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help

Answers

Answer:

x=9

y=4

Step-by-step explanation:

‼️I NEED IT RN‼️
Annabelle has a loyalty card good for a 2% discount at her local pharmacy. If the total
cost, before tax and discount, of all the items she wants to buy is c, which expression
does NOT represent the cost after the discount?
A- 0.98c
B- 1c - 0.02c
C- (1 - 0.02)c
D- C -0.02

Answers

Answer:

Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.

Step-by-step explanation:

C

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