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 product of 7/9 and 1/4

Answers

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Brunliest plz

Step-by-step explanation:

7/9 x 1/4 = 7/36

18) A TV screen has a length of 15 inches.

The diagonal of the TV is 25 inches. What

is the width of the TV?

A) 400 inches

B) 40 inches

C) 20 inches D) 29.2 inches

Answers

Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.

Sara's having a barbecue and she cooks burgers. She buys a 6 pack of breadrolls and a 10 pack of burger meat. How can sara get the same amount of burger to bread rolls

Answers

Answer:

Buying 5 packs of bread rolls and 3 packs of burger meat

Step-by-step explanation:

Sara needs to find the least common multiple between 6 bread rolls and 10  pieces of burger meat:

[tex]LCM:\\10\ 6\ |2\\5\ \ 3\ |3\\5\ \ 1\ |5\\1\ \ 1\ |1\\\\LCM = 2*3*5=30[/tex]

Sara will get the same amount of burger to bread rolls when she buys 30 units of each. The numbers of packs of each product that she must buy are:

[tex]B=\frac{30}{6}=5\ packs\\ M=\frac{30}{10}=3\ packs[/tex]

Sara should buy 5 packs of bread rolls and 3 packs of burger meat.

If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2%

Answers

Answer:

It will double in the year 2063

Step-by-step explanation:

Let the amount deposited be $x, when it doubles, the amount becomes $2x

we can use the compound interest formula to know when this will happen

The compound interest formula is as follows;

A = P(1+r/n)^nt

In this question,

A is the amount which is 2 times the principal and this is $2x

P is called the principal and it is the amount deposited which is $x

r is the interest rate which is 3.2% = 3.2/100 = 0.032

n is the number of times compounding takes place per year which is quarterly which equals to 4

t is the number of years which we want to calculate.

Substituting all these into the equation, we have;

2x = x(1+0.032/4)^4t

divide through by x

2 = (1+ 0.008)^4t

2 = (1.008)^4t

we use logarithm here

Take log of both sides

log 2 = log (1.008)^2t

log 2 = 2t log 1.008

2t = log 2/log 1.008

2t = 86.98

t = 86.98/2

t =43.49 which is 43 years approximately

Thus the year the money will double will be 2020 + 43 years = 2063

Isosceles and Equilateral triangles question! 60 POINTS!!
How do I figure out what "a" is equal to? Thanks!

Answers

Answer:

a = 43

Step-by-step explanation:

If PQ = PR, then P = R

The sum of the angles of a triangle is 180

P+Q+R = 180

47+2a + 47 = 180

Combine like terms

94 + 2a = 180

Subtract 94 from each side

2a = 180-94

2a = 86

Divide by 2

2a/2 = 86/2

a = 43

Answer:

43

Step-by-step explanation:

PQ = PR, so P = R

P + Q + R = 180

47+2a + 47 = 180

2a = 180 - 47 - 47

2a = 86

= 43

Hope this helps!

There are two red jars of marbles and one blue jar of marbles. Jars of a certain color have the same number of marbles in them. There are 30 marbles in total. The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. Find the number of marbles in each type of jar.

Answers

Answer:

There are 14 marbles in each red jar and 2 marbles in the blue jar

Step-by-step explanation:

There are two red jars of marbles and one blue jar of marbles.

Let the number of marbles in the red jar be x.

Let the number of marbles in the blue jar be y.

There are 30 marbles in total. This means that:

2x + y = 30 _____________ (1)

The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:

x - y = 12 ______________(2)

We have a system of simultaneous equations:

2x + y = 30 _____________ (1)

x - y = 12 ______________(2)

Add them together:

3x = 42

=> x = 42/3= 14

Put the value of x in (2)

14 - y = 12

=> y = 14 - 12 = 2

Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.

Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.45, what is
P(A n B)?

Answers

Answer:

D

Step-by-step explanation:

P(A n B) given A and B are independent events is P(A) * P(B)

The probability of intersection of event A and B is 0.135, the correct option is D.

What is Probability?

Probability is the study of chance of an event to happen.

A and B are two independent events.

P(A) = 0.3

P(B) = 0.45

P(A ∩ B) = P(A) * P(B)

P(A ∩ B) = 0.3 *0.45

P(A ∩ B) = 0.135

Therefore, the probability of intersection of event A and B is 0.135, the correct option is D.

To know more about Probability

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What dose point a represent on the graph

Answers

Answer:A point can represent a piece of data or an (x,y) value.

Step-by-step explanation:

Which expression is equivalent to

Answers

Answer: 4 and 10/12

Step-by-step explanation:

2 x 2= 4

[tex]1/2 X 3/4=2/2+ 3/4= {5/6} x 2= 10/12[/tex]

LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS



4. All angles are formed by the intersection of two _______ at a point called the angle's vertex.

A) rays

B) lines

C) segments


THE HINT I WAS GIVEN: These objects have start with an endpoint and end with a line.

Answers

Answer: rays or lines

Step-by-step explanation:

Answer:

I believe the answer is: B.) lines

Hope this helps God bless!

What are the factors of 36xyz?

A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z

Answers

Answer:

ç

Step-by-step explanation:

Find the midpoint of the line segment with end coordinates of: (-3,-1)and(-4,2)
Give coordinates as decimals where appropriate.

Answers

Answer:

The answer for this question is (-3.5,0.5)

Which point is not in the solution set of the equation 3y + 2 = x2 − 5x + 17?
A) (-2,10) or
D) (5,5)
B and C where wrong.

Answers

Answer:

A (-2, 10)

Step-by-step explanation:

If you plug in the point into x and y you should get "false" on a calculator, or the answer won't make sense, meaning that it's not a part of the set

(-2,10) is not the solution set of the given equation [tex]3y+2 =x^{2} -5x+17[/tex].

What is solution to the equation?

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

According to the given question

We have an equation

[tex]3y + 2 =x^{2} -5x+17[/tex]

The above equation can be written as

[tex]x^{2} -5x +17-3y-2=0...(i)[/tex]

For finding the point which is not the solution set of the equation, first we will substitute the given points in the above equation and check whether it making the equation true or not.

For point (-2, 10)

Substitute, x = -2 and y = 10 in the equation (i)

[tex](-2)^{2} -5(-2) + 17 - 3(10) -2\\=4+10+17-30-2\\= -1\neq 0[/tex]

Hence, (-2, 10) is not the solution of the given equation.

For point (5, 5)

Substitute, x = 5, and y = 5 in equation (i)

[tex](5)^{2} -5(5)+17-3(5)-2\\=25-25+17-15-2\\=0[/tex]

Hence, (5, 5) is the solution of the given equation.

Learn more about solution to the equation here:

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A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.

Answers

Answer:

C, A and B

Step-by-step explanation:

Tank A holds 40 Liters and 5 fish.

Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]

Tank B holds 100 Liters and 12 fish.

Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]

Tank C holds 180 Liters and 23 fish.

Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]

Therefore, the volume per fish from least to greatest is:

7.83, 8 and 8.33

These correspond to the tanks: C, A and B respectively.

Answer:

CAB

Step-by-step explanation:

Got it right in Khan!

A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that the two balls are yellow

Answers

Answer:

5/18

Step-by-step explanation:

5/9 times 1/2

5/18

I may be wrong sorry

Find the difference.

(5x2 + 2x + 11) - (7 + 4x - 2x2)
A.
3x2 + 6x + 4
B.
9 - 2x - 2x2
C.
3x2 - 2x + 4
D.
7x2 - 2x + 4

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.)   9 − 2x − 2x2

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.

i hate math bro please help me

Answers

Answer:

2 + an

Step-by-step explanation:

1 + 1 + na

2 + am

Three consecutive integers have a sum of 45. Find the integers.

Answers

Answer:

14,15,16

Step-by-step explanation:

14+15=29

add up 29 + 16 = 45

pleas help please helpppp

Answers

Answer:

the third option

Step-by-step explanation:

the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."

hope this helps!

Which regression equation best fits these data?

Answers

[tex]the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off

Answers

Answer:

5 dollars

Step-by-step explanation:

If the price is 90 % off, we will pay 100 - 90 or 10 %

Take the original price times 10 %

50 * 10 %

50 * .10

5

a:b= 5:8 and b:c=6:25
Find, in its simplest form, the ratio a:b:c

Answers

Answer:

a:b:c = 15:24:100.

Step-by-step explanation:

We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.

6  25 = 8 : 33.33......

So a:b:c = 5:8:33.33...

To convert to whole numbers we multiply by 3:

a:b:c = 15:24:100.

PLEASE HELP

What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)

x y
2 3
4 5
6 7
8 9
Initial value: 1, rate of change: 2
Initial value: 1, rate of change: 1
Initial value: 2, rate of change: 2
Initial value: 3, rate of change: 2

Answers

Initial value of 1 and rate of change is 2
So the first one

write 3x^2/5 in radical form

Answers

Answer:

  [tex]3\sqrt[5]{x^2}[/tex]

Step-by-step explanation:

As written, no radical is implied. The expression can be rewritten as ...

  (3x^2)/5 = (3/5)x^2

_____

Perhaps you intend ...

  3x^(2/5)

The denominator of the exponent becomes the index of the radical:

  [tex]3x^{\frac{2}{5}}=\boxed{3\sqrt[5]{x^2}}[/tex]

Find the area of the triangle. Round your answer to the nearest tenth.
A) 101.3 m^2
B) 58.5 m^2
C) 29.3 m^2
D) 50.7 m^2

Answers

Answer:

A

Step-by-step explanation:

Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots

Answers

Answer:

k= [tex]\frac{x^{2}+6 }{2x}[/tex]

Step-by-step explanation:

x(x−2k)+6=0

Step 1: Add -x^2 to both sides.

−2kx+x2+6+−x2=0+−x2

−2kx+6=−x2

Step 2: Add -6 to both sides.

−2kx+6+−6=−x2+−6

−2kx=−x2−6

Step 3: Divide both sides by -2x.

−2kx /−2x  = −x2−6 /−2x

k =

What is the value of −36/5 (10/9 −5/6 ) ?

Answers

Answer:

=-2

Step-by-step explanation:=-2

cuz i calculated it

its right

Answer:

-2

Step-by-step explanation:

First, the parentheses are calculated.

The denominators must be equal for removal.

2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18

Now we're going to multiply.

-36/5 × 5/18 = -36/18 and its equals to -2

answer.
The temperature decreased from
17° on Saturday to -7° on Sunday.
What was the total change in
temperature?

Answers

Answer:

Decreased 24 degrees

Step-by-step explanation:

subtract the 17 from Saturday which gets you to 0 but it ends up being -7 on Sunday so i did 17+7 and it gives 24 so that's how much it went down

Today you will need to look at the following problem and explain what Susan did incorrectly. You can explain what she did incorrectly and how to do it correctly

Answers

Answer:

see below

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + (y-k) ^2 = r^2

( x-3)^2 + (y+4) ^2 = 36

Rewriting this equation

( x - 3)^2 + ( y - -4)^2 = 6^2

The center is at (3,-4) and the radius is at 6

Susan did not use the formula correctly.

It is x-h and y-k so she needed to rewrite to get the equation in the proper form

Also the radius is r^2 not r/2

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