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egoroff_w [7]
3 years ago
7

The quotient is 71 2/3 what is the divisor

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0
Since quotient =divisor ×dividend +remainder.
here, quotient =71 2/3=215/3
therefore dividend is 3
zzz [600]3 years ago
4 0
The answer to your question is 215
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Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are propor
docker41 [41]

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

\dfrac{35}{7}=5

\dfrac{70}{14}=5

\dfrac{105}{21}=5

\dfrac{140}{28}=5

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

\dfrac{y}{x}=k

Here, k=5.

\dfrac{y}{x}=5

y=5x

Hence the rate of change is constant that is 5.

8 0
2 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
2 years ago
What is the answer for -2(x-7) + 10x=34
Lelu [443]

Answer:

Step-by-step explanation:

-2x-14+10x=34

8x-14=34

8x=48

x=6

6 0
2 years ago
Simplify: (3x^2-5x +9)+(7x^2+8x-5
Ber [7]

Answer:

=10x2+3x+4

Step-by-step explanation:

I hope this helps you

6 0
3 years ago
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Find two consecutive even integers whors sum is 86. Which of the following could be used to solve the problem?
Yuliya22 [10]

Answer:

42 and 44

Step-by-step explanation:

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4n = 84

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And the even number 2n is 2(21) = 42.

(We can verify this answer by doing 42 + 44 = 86)

5 0
2 years ago
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