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3 years ago

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The sum of three times a number b and 33 is at least 35

1 answer:

Harlamova29_29 [7]3 years ago

7 0

I love these problems, because it's just about reading the question. All you need to do is break it down. What do we know the "sum of" something is? We know that it means addition. What are we adding? "three times a number b and 33". Well, how can we express "three times b"? 3b! Right! Well, we know we're adding that to 33, so you're almost done. Right now you should have 3b+33. And what <em>is</em> 3b+33? at least 33. How can we express "at least"? >=, greater than or equal to, right! Finally, we have our answer. 3b+33>=35.

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Drag the tiles to the correct boxes to complete the pairs.

Maurinko [17]

Answer:

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Step-by-step explanation:

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3 years ago

A jar contains nickels and dimes. There are 20 coins in the jar, and the total value of

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Answer:

Step-by-step explanation:

n and d are the number of nickels and dimes, respectively.

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n+d = 20

d = 20-n

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0.05n + 0.10d = 1.40

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3 years ago

What is the square root of 18 plus the square root of 2? And is it rational or irrational?<br>

kicyunya [14]

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3 years ago

Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y < 12 8x -3y &g

liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

$10x + 4y < 12$

$8x - 3y > 20$

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

$10x + 4y < 12$

$10 * 3 + 4 * -8 < 12$

$30 - 32 < 12$

$-2 < 12$ --- True

$8x - 3y > 20$

$8 * 3 - 3 * -8> 20$

$24 +24> 20$

$48> 20$ --- True

(2, 5)

x = 2 and y = 5

$10x + 4y < 12$

$10 * 2 + 4 * 5 < 12$

$20 + 20 < 12$

$40 < 12$ --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

$10x + 4y < 12$

$10 * -5 + 4 * 1 < 12$

$-46 < 12$ --- True

$8x - 3y > 20$

$8 * -5 - 3 * 1 > 20$

$-43 > 20$ --- False

(10, 3)

x = 10 and y = 3

$10x + 4y < 12$

$10 * 10 + 4 * 3 < 12$

$112 < 12$ --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

$10x + 4y < 12$

$10 * 2 + 4 * -10 < 12$

$-20 < 12$ --- True

$8x - 3y > 20$

$8 * 2 - 3 * -10 > 20$

$46 > 20$ --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

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3 years ago

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Juli2301 [7.4K]

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