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4 years ago

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Mathematics

1 answer:

Bas_tet [7]4 years ago

6 0

Answer:

Step-by-step explanation:

Given that the ratio is 1:3

concentrate =1

water=3

the total =3+1=4

using the part to all method

1/4=x/32

cross multiply

4x=32

divide both sides by 4 we have

x=32/4

x=8

Therefore the amount of concentrate is 8 cups

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Translate the sentence into an inequality.

Leto [7]

5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"

<h3>How to translate an English phrase into an algebraic equation?</h3>

Given the phrase in the question;

The sum of a number times 5 and 29 is at most -25.

First, we translate;

Let the unknown number represented by b.

A number times 5 ⇒ b × 5 ⇒ 5b
Sum ⇒ 5b + 29
Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25

Now we combine the terms;

5b + 29 ≤ -25

We can go and solve for the unknown number.

5b + 29 ≤ -25

Subtract 29 from both sides

5b + 29 - 29 ≤ -25 - 29

5b ≤ -25 - 29

5b ≤ -54

b ≤ -54/5

Therefore, the translation of the phrase is 5b + 29 ≤ -25.

Learn more about inequality here: brainly.com/question/20383699

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5 0

1 year ago

6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

Lelu [443]

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

Length = 10 inches

Width = 5 inches

Height = 6 inches

<u><em /></u> $Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times5\times6=300\ cubic\ inches$

<u>For bottom part</u>

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times9\times6=540\ cubic\ inches$

Volume of two steps = 300 + 540 = 840 cubic inches

<em>Therefore, the volume of the steps are 840 cubic inches.</em>

8 0

3 years ago

70 POINTS IF YOU CAN ANSWER THIS:

NNADVOKAT [17]

In any given week, salesman A earns $65 per sale, so his paycheck amounts to $p_A(s)=65s$ (where $0\le s\le20$ ).

Salesman B earns $40 per sale, with a weekly salary of $300, so in any given week this salesman earns $p_B(s)=45s+300$ .

Salesman C earns a flat rate of $900 per week regardless of the number of sales, so his weekly pay is $p_C(s)=900$ .

5 0

3 years ago

Evaluate.

aleksandrvk [35]

Answer: -2 4/15

Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:

3: 3, 6, 9, 12, 15

5: 5, 10, 15

The first common multiple we see is 15.

Calculation:

3 · 3 = 9

9 + 1 = 10

3 1/3 = 10/3

5 x 5 = 25

25 + 3 = 28

-5 3/5 = -28/5

Now to convert into fifteen as the denominator:

-28/5 = -28 x 3/5 x 3 = -84/15

10/3 = 10 x 5/3 x 5 = 50/15

Now to subtract accordingly:

50/15 - 84/15 = -34/15

Final answer: -34/15 (can be reduced to -2 4/15).

3 0

1 year ago

Record the product 94 x 12 =

Ahat [919]

Answer:

1128

Step-by-step explanation:

Math

3 0

3 years ago