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attashe74 [19]
2 years ago
11

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller i

nteger.
Mathematics
1 answer:
alexandr1967 [171]2 years ago
4 0

Step-by-step explanation: 2+2=4 +4x8=9

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A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups o
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Answer:

10 batches

Step-by-step explanation:

3/4 cups = 1 muffins

15/2 cups = x muffins

For x muffins,

3/4 × X = 15/2 × 1

3x × 2 = 15×4

6x = 60

Divide both sides by 6

6x/6 = 60/6

X = 10

Hence 10 batches of muffins will be made from 15/2 cups of nuts.

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2 years ago
Tacos are served in the cafeteria every 4th
andriy [413]

Answer:

On the 12th day

Step-by-step explanation:

12 is a multiple of both 4 and 6

7 0
3 years ago
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What is the answer to this proportion question? 5m-3/63 = 9/21
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Answer:

Step-by-step explanation:

21(5m - 3) = 63*9

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2 years ago
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A point on the rim of a wheel has a linear speed of 33 cm/s. If the radius of the wheel is 50 cm, what is the angular speed of t
Zigmanuir [339]

Answer:

The angular speed of the wheel in radians per second is 0.66.

Step-by-step explanation:

Recall the following statement:

A linear speed (v) is given by,  

v=\omega \times r                       ...... (1)

Here,  \omega represents the angular speed of the wheel and <em>r</em> represents the  radius of the wheel.

From the given information:

Linear speed (v) = 33 cm/s

Radius of the wheel (r) = 50 cm

Now to find the angular speed in radian per second.

33 =50 \times \omega

Divide both sides by 50.

0.66 rad/sec= \omega

Hence, the angular speed of the wheel in radians per second is 0.66.

4 0
3 years ago
A cylinder can hold 450 inches of water. How many cubic inches of water can a cone that has a congruent base and equal height to
Paladinen [302]

Answer:

150 cubic inches of water

Step-by-step explanation:

volume of a cylinder = πr²h

Volume of a cone 1/3(πr²h)

π  = 22/7

r = radius

volume of a cone = \frac{1}{3} x Volume of a cylinder

450 / 3 = 150 in³

7 0
3 years ago
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