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Crank
3 years ago
10

How much sparkling water would you need to mix with 9 quarts of grape juice

Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

24oz

Step-by-step explanation:

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Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by
Cerrena [4.2K]

Answer:

$91.67.

Step-by-step explanation:  

We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.

A. Let us find area covered by nylon by multiplying 10 by 8.

\text{ Amount of Nylon needed to cover the garden}=10\text{ feet}*8\text{ feet}

\text{ Amount of Nylon needed to cover the garden}=80\text{ feet}^{2}

Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

\text{ Amount of Nylon needed to cover the garden}=80*0.111111\text{ yards}^{2}

\text{ Amount of Nylon needed to cover the garden}=8.88889\text{ yards}^{2}

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.

\text{ Cost of Nylon cover of the garden}=8.88889*5.25

\text{ Cost of Nylon cover of the garden}=46.6666725\approx 46.67

Therefore, the cost of nylon cover will be $46.67.

B. Now let us find length of rope by finding the perimeter of the garden.

\text{Length of rope}=2(10+8)\text{ feet}

\text{Length of rope}=2(18)\text{ feet}

\text{Length of rope}=36\text{ feet}

Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.

\text{Cost of rope}=36*1.25

\text{Cost of rope}=45

Therefore, the cost of rope will be $45.

To find the total cost to make the cover we will add cost of nylon cover and cost of rope.

\text{Total cost to make the cover}=45+46.67

\text{Total cost to make the cover}=91.67

Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.

7 0
3 years ago
Tell whether the transformation appears to be a rigid motion. explain
AURORKA [14]

Answer:

If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion

4 0
3 years ago
The solutions to the equation −2x2+3x+7=0 are real, rational numbers. <br><br> A True or flase
ExtremeBDS [4]

Answer:

True

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Find the 3rd term of an arithmetic sequence with t2= 9/2 and t5= 6
qwelly [4]
<span>Well a simply way is to look at the problem as

Term 1 | 2 | 3 | 4 | 5 ----------------------------
Value | 9/2 | | | 6

There are 3 terms from 2 to 5 and the value increases 6 - 9/2 = 3/2 so the common difference is 3/2 divided by 3 so the common difference is 1/2 so to find the 3rd term add 1/2 to the 2nd term the pattern is each term is increasing by 1/2.. or 1/2 is added to the previous term. </span>
5 0
3 years ago
Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

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

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0
4 years ago
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