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3 years ago

10

Noor has 4 cups of hot chocolate in his thermos. He offers 5/8 cup servings of hot chocolate to some friends. What is the greate

st number of friends Noor can offer hot chocolate to?

1 answer:

Tanzania [10]3 years ago

8 0

Answer: 6.4

Step-by-step explanation:

4 / (5/8) = 4/1 x 8/5 = 32/5 = 6.4 you invert 5/8 then multiply

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Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

7 0

3 years ago

Solve for x. Your answer must be simplified. -7x > 10

andre [41]

The answer to this is x < -10/7

5 0

3 years ago

Which expression has the same value as the one below?

mihalych1998 [28]

Answer:

Option A

Step-by-step explanation:

22+(-32) is the same thing as 22-32.

$22-32=-10$

<h3>Let's see if the given options are equal:</h3>

Option A:

$22+(-22)+(-10) \\22-22-10\leftarrow \text{Distribute -1 into the Parentheses.} \\0-10\\\boxed {-10}$

Option A's expression has the same value as the expression given.

Option B:

22+(22)+(-10)

$22+22-10\\44-10\\\boxed {34}$

Option B's expression does not have the same value as the expression given.

Option C:

$22+(-22)+(10)\\22-22+10\\0+10\\\boxed {10}$

Option C's expression does not have the same value as the expression given.

Option D:

$22+0+32\\22+32\\\boxed{54}$

Option D's expression does not have the same value as the expression given.

<h3>The correct answer should be A: 22+(-22)+(-10).</h3>

5 0

3 years ago

Read 2 more answers

Solve the equation 4z^2 + 4z -9 = 0 by completeing the square<br><br><br>

nasty-shy [4]

Answer:

z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2

Step-by-step explanation:

To complete the square, the last term has to be 1. So adding 10 to both sides, we get:

4z^2+4z+1 = 10

Since 4z^2+4z+1=(2z+1)^2,

(2z+1)^2 = 10.

Taking the square root of both sides, we get

2z+1=sqrt(10) or 2z+1=-sqrt(10)

So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2

3 0

3 years ago

Solve for x.<br> -30 = 5(x + 1) <br>x=

Alecsey [184]

Answer: -7

Step-by-step explanation:

-30 = 5(x + 1)

-30 = 5x + 5. ( After distrbuting the 5)

-5. -5

-30 - 5. = 5x

-35 = 5x

x = -7

5 0

3 years ago