Write and solve each equation.
1. Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with
$570 and withdrew $25 weekly. In how many weeks will their accounts be equal.

2. The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria’s
installation price is $50 but the store charges $13 for each square yard. For what number of square
yards of carpeting will the cost, including installation, be the same for both stores?

3. Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle. Gateway Auto
charges $35 per day plus 9¢ per mile for the same car. For what number of miles will both companies
charge the same price?

4. Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only
$200 in her account but can save $20 a week from her paycheck. How many weeks will it take before
the amount in each savings account is the same?

5. A sales person in a stereo store is given a choice of two different compensation plans. One plan offers
a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no
salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to
make the same amount of money under both plans.

Answers

Answer 1

Answer:

223

Step-by-step explanation:


Related Questions

If the ratio of apples to pumpkins was 5:7 and there are 21 pumpkins, how many apples are there?

Answers

Answer:

15 apples

Step-by-step explanation:

7×3=21

5×3=15

Answer:

15 apples

Step-by-step explanation:

hope I could help

Need help with this English assignment due now pls hurry up I need #10-13 poem help me out now

Answers

Answer:

Step-by-step explanation:

Question 13- I remember the year of 2001 because that was the year the twin towers were bombed and that was the year the pentagon got bombed too.  

simplify : 3a(2a-x+1) URGENTLYYY

Answers

Answer:

the answer is 6a^2- 3ax+ 3a

Please help! I'm being timed! Given the midpoint and one endpoint, find the other endpoint.
Endpoint 1: (2,-9) Midpoint:(-2,-1)

Options:(4,8)
(-4.-8)
(6,-7)
(-6,7)

Answers

Answer:

I believe its (-6, 7)

pls help me make you brainliest
8:00 am in espanol please translate correctly

Answers

Answer:

"Ocho en punto" I'm pretty sure

Ocho (8) en la mañana

Please hurry! 50 points :)

Which point could be on the line that is perpendicular to Line M N and passes through point K?

A. (0, −12)
B. (2, 2)
C. (4, 8)
D. (5, 13)

Answers

Answer:

Your answer option is B) (2,2)

Answer:

Step-by-step explanation:Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.

The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.

ASAP GEO PROBLEM HELP NEEDED QUICK
Prove that triangle with sides' lengths x^2−1, 2x, x^2+1 is a right triangle.

Answers

Answer:

See below.

Step-by-step explanation:

The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.

We have the side lengths (x²-1), (2x), and (x²+1).

We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.

So, we can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:

[tex](x^2-1)^2+(2x)^2\stackrel{?}{=}(x^2+1)^2[/tex]

Square each expression:

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

Combine like terms:

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

Add:

[tex]x^4+2x^2+1\stackrel{\checkmark}{=}x^2+2x^2+1[/tex]

We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.

And we're done!

which number is largest?

-12
-11
-9
-5
-15

Answers

Answer:

-5

Step-by-step explanation:

it just is okay trust me

Congratulations on your new job as a high school football coach! Each player on the team is required to run 1.5 miles in less than 15 minutes. One lap around the field is 300 yards. How many laps must a player run to meet the requirement? Calculate to the nearest tenth. (1760 yards = 1 mile)

Answers

Answer:

8.8 laps

Step-by-step explanation:

because of the concepts of molecular osmosis used to provide a detailed explanation to kermit. Thereby omitting the theory of dark matter into the universe and thus replacing it with the new compulsive theory of 50 % growth of human anatomical secretory sections.

Is 4/5 an integer? pls help

Answers

Answer:

Answer and Explanation

Step-by-step explanation:

The fraction 4/5 is a rational number. Rational numbers result when one integer is divided by another. both four and five are integers.

The ratio of oranges sold to bananas sold is 3 to 10. If a total of 30 bananas were sold,then how many oranges were sold ?

Answers

Answer:

9

Each value is 3 times the number on the ratio.

10 x 3 = 30.

So, the ratio for oranges would be 9 because:

3 x 3 = 9.

So, the answer is 9.

What is Slope?
describe what slope is,
Use at least TWO sentences!

Answers

Answer:

BET LETS GO

Step-by-step explanation:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between any two distinct points on a line.

7.25 x 10^5 in standers form

Answers

Answer:

i hope it helps

Step-by-step explanation:

0.000074

Explanation:

7.4

×

10

5

To write in standard notation, move the decimal point on

7.4

over as many times as the power of ten given.

Move to the left if the given power has a negative exponent

Move to the right if the given power has a positive exponent

Therefore:

7.4

×

10

5

=

0.000074

.......................

Answers

Answer:

32 degrees

Step-by-step explanation:

If lines r and t are parallel then it would be 180-148

18s^2+2g-12+15g-9s^2

Answers

Answer:

9s^2 + 17g - 12

Explanation:

(basically combine like terms)

the s^2 are like terms, so that would get you 18s^2 - 9s^2 = 9s^2

then the g’s are like terms,
15g + 2g = 17g

then the -12 is all on its own

if you put it all together:

9s^2 + 17g - 12


whats the answer of 2+a/4=-1​

Answers

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20  Time:  8:58 pm CST

Answer:  

A = 4

Explanation:

Step 1: Write out the equation

2 + a/4 = -1

Step 2: Solve

Add 2 to both sides of the equal sign

a/4 = 1

Multiply 4 on both sides

a = 4

I hope this helped answer your question! Have a great rest of your day!

Furthermore,  

Chris

Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x). (1 point)

Answers

Answer:

[tex]f(x)*g(x) = x^2+3x-28[/tex]

Step-by-step explanation:

[tex]f(x) = x+7\\g(x) = x-4\\\\f(x) * g(x) = (x+7) * (x-4)[/tex]

To solve a multiplication of 2 parenthesis, we'll multiply each of the terms on the left with each of the terms on the right. Then, add all of the products together.

First, x (left) with x (right):

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

Next, x (left) with -4 (right):

[tex]x * (-4) = -4x[/tex]

Next, 7 (left) with x (right):

[tex]7 * x = 7x[/tex]

Finally, 7 (left) with -4 (right):

[tex]7 * (-4) = -28[/tex]

Now we have 4 products. To find the result of the entire expression, we need to add all of these together.

[tex]x^2 - 4x + 7x - 28[/tex]

We can simplify -4x+7x to 3x:

[tex]x^2 + 3x-28[/tex]

Answer: [tex]f(x)*g(x) = x^2+3x-28[/tex]

Answer:

[tex] \longmapsto f(x) = x + 7 \\ \longmapsto g(x) = x - 4 \\→ f(x)g(x) = (x + 7)(x - 4) \\ = {x}^{2} - 4x + 7x - 28 \\ = \boxed{ {x}^{2} + 3x - 28}✓[/tex]

x²+3x-28 is the right answer.

Select the correct answer.
What are the x-intercept and the y-intercept of this function?
fx) = 4x + 12
O A.
The x-intercept is (3,0), and the y-intercept is (0,-12).
OB.
The x-intercept is (-3,0), and the y-intercept is (0,-12).
O C.
The x-intercept is (3,0), and the y-intercept is (0,12).
OD.
The x-intercept is (-3,0), and the y-intercept is (0,12).

Answers

Answer:

D- The x-intercept is (-3,0), and the y-intercept is (0,12).

Step-by-step explanation:

right on plato/edmentum

The solution is Option D.

The x-intercept is ( -3 , 0 ), and the y-intercept is ( 0 , 12 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of the line be f ( x ) = y

And , the equation is

f ( x ) = 4x + 12

So , y = 4x + 12

To find the x intercept of the line ,

Substitute the value of y = 0

So , 0 = 4x + 12

Subtracting 12 on both sides , we get

4x = -12

Divide by 4 on both sides , we get

x = -3

Therefore , the x-intercept is ( -3 , 0 )

Now , To find the y intercept of the line ,

Substitute the value of x = 0

So , y = 12

Therefore , the y-intercept is ( 0 , 12 )

Hence , The x-intercept is ( -3 , 0 ), and the y-intercept is ( 0 , 12 )

To learn more about equation of line click :

https://brainly.com/question/14200719

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helppp ill mark u as brainlist​

Answers

I’ll help you if you could help me ?

Answer is A .

Explaination = 4x+12 < ( i cant type it with a line below but remember it has it)  -8                    

please help 50 points

Answers

Answer:

2. Georgia colony

3. Massachusetts Bay Colony

4.   New York

5. Charter of Pennsylvania

6. May 4, 1776

7. Swedes colony

8. Rhode Island colony and Connecticut colony

9. New York

10. Plymouth colony

11. Maryland and Virginia colony were both founded in 1776

12. 1732 - 1215 = 517

Hope this helps, could sure use brainliest after this:)

Answer:

thank YOU

Step-by-step explanation:

15 + 6f = 7f show steps please as soon as possible!

Answers

Answer:

f = 15

Step-by-step explanation:

15 + 6f = 7f

subtract 6f from each side

15= 1f

15=f

Answer:

15

Step-by-step explanation:

15 +6f =7f

15 =7f - 6f

15 =f

Amy solved the exponential inequality
4 Superscript 2 x minus 2 Baseline greater-than-or-equal-to 2
by first rewriting the inequality as
4 Superscript 2 x minus 2 Baseline minus 2 greater-than-or-equal-to y
and then graphing this inequality. She determines the solution set of the inequality is (infinity, 1.25 right-brace.

Which best describes Amy’s solution?

-Amy is correct. The interval (negative infinity, 1.25 right-brace is the solution set for the inequality.
-Amy did not break the inequality into two related inequalities. Her solution set only relates to one inequality.
-Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞).
-Amy used the wrong variable when writing the solution. The solution set should relate to y and not x.

Answers

Answer:   C. Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞)

Step-by-step explanation:

Answer:

Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞).

Step-by-step explanation:

edge

(a)The population of a city is increasing exponentially at a rate of 2% each year. The population now is 256 000. Calculate the population after 30 years. Give your answer correct to the nearest thousand.




(b) A bacteria population increases exponentially at a rate of r% each day. After 32 days, the population has increased by 309%. Find the value of r.

Answers

Sorry.. Good Luck with the answer tho!...

(a)The population of the city after 30 years will be 463708.566 as per exponential growth.

(b) The value of the exponential 'r' is 4.5%.

What is the exponential growth of a system?

"Exponential growth is a process that increases quantity over time."

Here, f(x) = a(1 + r)ˣ

f(x) = exponential growth function

a = initial amount

r = growth rate

x = number of time intervals

(a)The population of the city is (A) = 256,000.

The rate of increase of population per year is (r) = 2% = 0.02.

Time period (n) = 30 years.

Therefore, the population after 30 years

= A(1 + r)ⁿ

= 256000(1 + 0.02)³⁰

= 463708.566

(b) Let, the total bacteria is x.

The rate of increase of bacteria per day is = r%

Time period (n) = 32 days.

Total increased in bacteria in 32 days = 309%.

After 32 days, the total number of bacteria is

= x + (x × 309/100)]

= x + 3.09x

= 4.09x

Therefore,

4.09x = [tex]x(1 + r)^{t}[/tex]

⇒ [tex](1 + r)^{32}[/tex] = 4.09

⇒ (1 + r ) = 1.045

⇒ r = 0.045

⇒ r = 4.5%

Learn more about exponential growth here: https://brainly.com/question/18118767

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what is the last term of (2x-4)2

Answers

Answer:   16

============================================

Explanation:

The full expanded expression is 4x^2-16x+16

Which you can get through these steps

(2x-4)^2

(2x-4)(2x-4)

y(2x-4) ...... let y = 2x-4

2xy - 4y

2x( y ) - 4( y )

2x( 2x-4) - 4( 2x-4 ) .... plug in y = 2x-4

4x^2 - 8x - 8x + 16

4x^2 - 16x + 16

The question is an illustration of expansion and factorization.

The last term of the expression is 16.

We have:

[tex](2x - 4)^2[/tex]

Expand

[tex](2x - 4)^2 = (2x - 4) \times (2x - 4)[/tex]

Further expand

[tex](2x - 4)^2 = 2x(2x - 4) - 4(2x - 4)[/tex]

Open brackets

[tex](2x - 4)^2 = 4x^2 - 8x - 48x + 16[/tex]

[tex](2x - 4)^2 = 4x^2 - 56x + 16[/tex]

Hence, the last term of the expression is 16.

Read more about expansion and factorization at:

https://brainly.com/question/8075902

Morgan used 5 gallons of paint to paint 1,750 square feet. How many gallons of paint would she need to cover 2,800 square feet

Answers

Answer:

Morgan would need 8 gallons of paint to cover 2800 ft^2

Step-by-step explanation:

Write and solve an equation of ratios:

  x           2800 ft^2

--------- = ----------------

5 gal       1750 ft^2

Cross-multiplying yields 1750x = 14000, and so x = 8

Morgan would need 8 gallons of paint to cover 2800 ft^2

What is 57.42 + 4 + 1.02? Pls help and I need a small simple explanation...

Answers

Answer:

62.44

Step-by-step explanation:

Line up the decimals and then add them up like usual, and then place the decimal where it should go. THen you get your answer.

Hope this helped!

Answer:

62.44

Step-by-step explanation:

line the decimals up

57.42

+1.02

58.44

now add 4

58.44

+4.00

62.44

Use f(x) = 1/2 x and f-^1(x) = 2x to solve the problems.
f(2) =
f(1) =
f-^1 (F2)) =

Answers

Answer:

f(2) =  

⇒ 1

f−1(1) =  

⇒ 2

f−1(f(2)) =  

⇒ 2

-4.3 g equals 25.8 solve for G

Answers

-4.3g = 25.8
/-4.3 on both sides
g = -6

Answer:
g = -6

(will give Brainliest)
what is the value of x

Answers

Answer:58?

Step-by-step explanation:

[tex](2x + 12)^{\circ} + 32^{\circ} = 90^{\circ}\\2x + 12^{\circ} + 32^{\circ} = 90^{\circ}\\2x = 90^{\circ} - 12^{\circ} - 32^{\circ}\\2x = 46^{\circ}\\x = 23^{\circ}[/tex]

Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park. She asked each student how many hours they spend on their computers each week. She obtained the following results.

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

What is the ratio of the total number of students who used their computers to the total number of students surveyed?
StartFraction 2 over 20 EndFraction or StartFraction 1 over 10 EndFraction
StartFraction 2 over 18 EndFraction or StartFraction 1 over 9 EndFraction
StartFraction 18 over 20 EndFraction or StartFraction 9 over 10 EndFraction
StartFraction 18 over 2 EndFraction or StartFraction 9 over 1 EndFraction

Answers

Answer:

Liliana surveyed 20 students that how many hours they spend on their computers each week.

The results are as follows

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

In the above results 2 students did not use computers out of 20 students.

Therefore, The total number of students who used their computers = 20 - 2 = 18

So the ratio would be 18 : 20 or 9 : 10

Answer:

Ratio would be 9 : 10

Step-by-step explanation:

hope it helps

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