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Zepler [3.9K]
3 years ago
10

a recipe for making 4 cups of soup requires 3 cups of water at this rate how many cups of water are required to make 24 cups of

soup
Mathematics
1 answer:
Tema [17]3 years ago
8 0

Answer:

18

Step-by-step explanation:

4 divided by 24 is 6

6x3=18

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The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.
zhuklara [117]

Answer:

There is an association because the relative frequencies by row are different.

Step-by-step explanation:

The relative frequencies by row are:

90 perfect t-shirts out of 90+6=96 t-shirts is:

90/96 = 0.9375

6 flawed t-shirts out of 96 t-shirts is:

6/96 = 0.0625

40 perfect sweatshirts out of 40+10=50 sweatshirts is:

40/50 = 0.8

10 flawed sweatshirts out of 50 sweatshirts is:

10/50 = 0.2

The relative frequencies by row are different; this means there is an association.

4 0
3 years ago
Read 2 more answers
The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

5 0
3 years ago
Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.
Pie

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

6 0
3 years ago
Is it possible to divide <br> 0 by 27<br> ?
Mumz [18]

Answer:

No. Dividing by 0 is not rational, no number works.

5 0
2 years ago
Read 2 more answers
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
kozerog [31]
X would be 0 and y would be 2 so it would be (0,2)
7 0
2 years ago
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