Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.

Answers

Answer 1

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  


Related Questions

What is the final amount if 1442 is increased by 9% followed by a 6% decrease?

Answers

Answer:

1,485.26

Step-by-step explanation:

100% is 1442

1% is 14.42

10% is 144.2

9% is 10 - 1 so its 129.78

1442 add 129.78 is 1 571.78

5% is  72.1

so add 72.1 and 14.42 86.52 and take it from 1571.78

answer is 1,485.26

Picture attachment is below

Answers

Answer:

0.04

Step-by-step explanation:

Answer:0.04

Step-by-step explanation:4/100

Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?

Answers

Answer:

When Jeff travels more than 20 miles

Step-by-step explanation:

Let 'x' be the number of miles traveled by Jeff.

In order for the national car company to be less expensive, then the following condition must be met:

[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]

This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed

Answers

Answer:

B

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.

[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

I believe it is b

Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line

Answers

it would be a Line  

The line would be vertical right through the middle

can i get brainliest?

write as an algebraic expression

Answers

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

At the corner store near Billy’s
house, loose mixed nuts cost
$1.75 per 100 g. Write an
equation to represent the amount
of mixed nuts, n, he can buy if he
has d dollars. Then, use your
equation to determine how many
grams of mixed nuts Billy can buy
if he has $5.

Answers

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

Find the 11th term from the end of the A.P 10,7,4.... -62.​

Answers

Term 11=a+10d

Here

a=10

d= 7-10= -3

Term 11;

=10+(10×-3)

=10+(-30)

= -20 is the answer

Thank you Hope it helps dear

Answer: -32

Step-by-step explanation:

a=10, d = 7-10 = -3

First find which term is -62

an = -62

a = (n-1) d= -62

Putting values

10 + (n-1)(-3) = -62

10 + (n(-3) -1 (-3) = -62

10 - 3n + 3 = -62

13 - 3n = -62

-3n = -62-13

n = 75/3 = 25

We need to find out 11th term from the last term ie., 25 - 10 = 15th term

So we need to find a14

an = a +(n-1) d

a15 = 10+ (15-1) (-3)

= 10 + 14 (-3)

= 10 -42

= -32

So the 11th term from the 15th term from the first = -32

Solve 2 - x= -7.
O A. x=-9
O B. x= 5
O C. x= -5
O D. x= 9

Answers

Answer:

x = 9

Step-by-step explanation:

2 - x= -7

Subtract 2 from each side

2- 2 - x= -7-2

-x = -9

Multiply by -1 on each side

x = 9

Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

879.2ft^3

Step-by-step explanation:

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.

Answers

Answer: Dear friend my answer for this question is 86.

Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.

x + y = 14

x = 14 - y…..Eq..1

The nuber formed is 10x + y

If the number formed by reversing the digits is 18 less than the original number, what is the original number

On reversing the digit the number will be 10y + x

10y + x + 18 = (10x + y)

10y + x = 10x + y - 18

10y - y + x - 10x = - 18

9y - 9x = -18…Eq..2

Now substituting the value of x from Eq..1 to Eq..2

9y - 9 (14 - y) = - 18

9y - 126 + 9y = - 18

18y = 126 - 18

18y = 108

y = 108/18

y = 6

Thus 1s digit if the number is 6

Substituting the derived value of y in Eq..1 to derive value of x.

x = 14 - y

x = 14 - 6

x = 8

The 10s digit if two digit number is 8.

The original number formed is 86.

On reversing the digits, the number transform to 68, which is 18 less than original number

Answer the original number is 86.

Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

The total amount of wrapping papaws will be equal to the SA

*formula substituted*

(30 x 3 x 2) + ( 3 x 3 x 2)

If you go through these steps with Bedmas or pemdas you should get 198

Therefore she will need 198 square inch’s of paper


Sorry for messy explanation hard to do on a phone

What is the value of this discriminant?

Answers

Answer:

The answer is A.

Step-by-step explanation:

The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :

D = b² - 4ac

D = (-4)² - 4(1)(4)

= 16 - 16

= 0

I think that the answer is a bit I’m not too sure

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? (1 point) Select one: a. 0 b. 5 c. 10 d. 15

Answers

Answer: C. / 10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given a polynomial divided by a factor (x + h) then the remainder is f(- h)

Given

f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 19 divided by (x + 2)

To find remainder evaluate f(- 2)

f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 19

        = 3(16) + 2(- 8) - 4 - 4 - 19

        = 48 - 16 - 4 - 4 - 19

        = 5 → B

How do I find the arc of a circle?\

Answers

Answer:

google

Step-by-step explanation:

Step-by-steP

LA FÓRMULA ES:

arc = πrΘ/180

Simplify the expression
12x^-6 y^10 •3x^7y

Answers

Answer: 36y^10 x^7y-6

1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me

Answers

Answer:

13

Step-by-step explanation:

1/3 of 6 1/2 multiply by 3/4 (56 divided by 7)  

1/3* 13/2 * 3/4 * 56/7= 1*13*3*56/3*2*4*7= 13*3*56/3*56= 13

Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the curves y=cos(πx/2), y=0, x=0, and x=1 about the y-axis

Answers

Answer:

1,45 cubic units

Step-by-step explanation:

The method of cylindrical shells demands that the volume of the solid is given by:

[tex]V=2\pi\int_a^b xf(x)dx[/tex]       (1)

In this case you have that f(x) is:

[tex]f(x)=cos(\frac{\pi}{2}x)[/tex]

a = 0

b = 1

First, you solve the integral, by parts:

[tex]\int xf(x)dx=\int xcos(\frac{\pi}{2}x)dx=x(\frac{2}{\pi})sin(\frac{\pi}{2}x)-\int (\frac{2}{\pi})sin(\frac{\pi}{2}x)dx\\\\=(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)+C[/tex]

Next, you calculate the volume of the solid, by replacing the solution to the integral in the equation (1):

[tex]V=2\pi[(\frac{2}{\pi})xsin(\frac{\pi}{2}x)+(\frac{2}{\pi})^2cos(\frac{\pi}{2}x)]_0^1\\\\V=2\pi[(\frac{2}{\pi})-(\frac{2}{\pi})^2]=1,45u^3[/tex]

hence, the volume of the solid generated is 1,45 cubic units

What is the equation in slope-intercept form of the line?

Answers

Answer:

y = 1x - 500

Step-by-step explanation:

b is were the line crosses the y axis so its -500

and to find slope you do -200-(-400) over 300-100 and it equals 1

hope this helps:)

Expand and simplify . 5(3m+6n)-4(11m-8n) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST​

Answers

Answer:

-29m+62n

Step-by-step explanation:

5 (3m+6n)-4 (11m-8m)

15m+30n-44m+30n

15m-44m +32n+30n

-29m +62n

Which of the following is this?

-A balanced budget

-A budget deficit

-A budget surplus

Answers

A budget deficit
The monthly Budget total is $240
The monthly expenses total is $250

2.5(2z + 5) = 5(z + 2.5)

Answers

Answer:

z is any real number

Step-by-step explanation:

2.5(2z + 5) = 5(z + 2.5)

Distribute

5z + 12.5 = 5z +12.5

Subtract 5z from each side

5z -5z + 12.5 = 5z-5z +12.5

12.5 = 12.5

This is always true so z can be any real number

Answer:

All Real Numbers

Step-by-step explanation:

We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),

[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]

Solution; All Real Numbers

Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =


BC=


∡C=
degrees

Answers

Answer:

AC= 6.3 units (nearest tenth)

BC= 2.8 units (nearest tenth)

∠C= 64°

Step-by-step explanation:

Please see attached picture for full solution.

12) The sum of two natural numbers is 30. If one of the numbers is one-
fifth of the other, then what is the product of both the numbers?
a) 5
b) 25
c) 30
d) 125​

Answers

Answer:

D.) 5 x 25 = 125

Step-by-step explanation:

The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.

Answer:

A) X + Y = 30

B) X = .2Y OR X - .2Y = 0

We subtract B) from A)

1.2Y = 30

Y = 25  X = 5

X * Y = 125

Answer is d.) 125

Step-by-step explanation:

PLEASE HELP ASAP the question is in the picture

Answers

can you please rotate the picture

What’s the cosine of U?

Answers

Step-by-step explanation:

The cosine of U is equal to the adjacent side divided by the hypotenuse.

cos(U) = 28/53

You can simplify it from there.

Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.

Answers

Answer:

Q1: n*m

Q2: A = 3x+6

Step-by-step explanation:

Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):

[tex]T = n*m=nm[/tex]

Q2: The area of a rectangle is given by the product of its height by its length:

[tex]A = (x+2)*3\\A=3x+6[/tex]

The area of this rectangle is given by the expression A = 3x+6.

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Answers

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

f(n) = 9+ 5n; 64

determine which term produces the given answer?​

Answers

Answer:

the 11th term

Step-by-step explanation:

f(n) = 9+ 5n;

Let f(n) =64

64 = 9+5n

Subtract 9 from each side

64-9 = 9+5n-9

55 = 5n

Divide each side by 5

55/5 = 5n/5

11= n

How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?

Answers

Answer :

A wheel is a circle.

Given diameter of wheel = 2.8 m

Then radius of the wheel = 2.8/2 = 1.4 m

Now we know that , circumference of circle =[tex]2\pi r[/tex]

Then,

Circumference of wheel = 2 × 22/7 × 1.4

Circumference of wheel = 8.8 m

From the above we can conclude that ;

1 revolution = 8.8 m

x revolution = 484 km = 484000 m

Thus,

[tex]x = \frac{1}{8.8} \times 484000 \\ \\ x = 55000[/tex]

Therefore, total of 55,000 revolutions are made by the wheel.
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