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Alika [10]
2 years ago
5

Manny is making 12 quarts of orange juice from concentrate and water. The number of quarts of water is 3 times the number of qua

rts of concentrate. How many quarts of concentrate and how many quarts of water does Manny need?
Mathematics
1 answer:
trasher [3.6K]2 years ago
8 0

Answer: There are 3 quarts of concentrate and 9 quarts of water.

Step-by-step explanation:

Since we have given that

Ratio of number of quarts of water to number of quarts of concentrate is

3:1

Number of quarts of orange juice from concentrate and water = 12 quarts

So, the number of quarts of concentrate would be

\dfrac{1}{4}\times 12\\\\=\dfrac{12}{4}\\\\=3\ quarts

the number of quarts of water would be

\dfrac{3}{4}\times 12\\\\=3\times 3\\\\=9\ quarts

Hence, there are 3 quarts of concentrate and 9 quarts of water.

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State the size of angle OAB, giving a reason for your answer
Alja [10]

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

5 0
2 years ago
I need help with finding the equation for #20 and # 22 for my brother we get the answer but it’s hard for us to write out how to
Pavel [41]

Answer:

Im not sure about 20 but 22 is 48

Step-by-step explanation:

4×96 =384

384÷8 = 48 orange per classroom

8 0
2 years ago
After the closing of the mill, the town of Sawyerville experienced a decline in its population.
ycow [4]

Step-by-step explanation:

P(t) = 12,000 (2)^(-t/15)

9,000 = 12,000 (2)^(-t/15)

0.75 = 2^(-t/15)

ln(0.75) = ln(2^(-t/15))

ln(0.75) = (-t/15) ln(2)

-15 ln(0.75) / ln(2) = t

t = 6.23

5 0
2 years ago
Which of the following notations correctly describe the end behavior of the polynomial graphed below?
algol13

The right answer is C

Let me to explain. From the graph we know that the vertex of this parabola is V(0,8). This is a<em> maximum y-value.</em> We also know that the parabola <em>opens downward, </em>so the leading coefficient is negative. Given that the function is even and the leading coefficient is negative, it follows that the graph falls to the left and right. In a mathematical language this is:

x \rightarrow -\infty, f(x) \rightarrow -\infty \\ \\ x \rightarrow \infty, f(x) \rightarrow -\infty <em> </em>

4 0
2 years ago
10=ax-3b solve for x
Finger [1]
10 = ax - 3b

First, add 3b to both sides. / Your problem should look like: 10 + 3b = ax.
Second, divide both sides by a. / Your problem should look like: \frac{10 + 3b}{a} = x.
Third, switch sides. / Your problem should look like: x = \frac{10 + 3b}{a} which is your answer.

8 0
2 years ago
Read 2 more answers
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