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1 year ago

A stack of 6 gift boxes is 12.36 inches high. What is the height of 32 gift boxes?

Mathematics

1 answer:

Rom4ik [11]1 year ago

3 0

Answer:

Step-by-step explanation:

Discussion

6 gift boxes are 12.36 inches high

32 gift box are x inches high

This is a proportion question. A proportion is made of 2 equal ratios. If you know 3 parts of the proportion, you can solve for the 4th,

6/32 = 12.36/x Cross multiply

6x = 12.36 * 32 Combine the right.

6x = 395.52 Divide by 6

6x/6 = 395.52/6

x = 65.92

Answer: 65.92

Note

Using a proportion saves you the trouble of finding 1 box and multiplying whatever number you get by 32

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Angles C and E are supplementary. The M>C = 112 and M>E = (3x + 50) Solve for X.

maxonik [38]

Answer:

The value of x is 6

Step-by-step explanation:

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

In this problem

m∠C+m∠E=180°

we have

m∠C=112°

m∠E=(3x+50)°

substitute and solve for x

112°+(3x+50)°=180°

3x+162=180

3x=180-162

3x=18

x=6

7 0

3 years ago

On three examinations, you have grades of 85, 78, and 84. There is still a final examination, which counts as one grade In order

Greeley [361]

Answer:

It's not possible to earn an A in the course
I must have a 73 or MORE to earn a B in the course

Step-by-step explanation:

The average obtained at the end of the course will be:

$\frac{85+78+84+x}{4} = av$

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80

Is an A in the course possible?

So, if we get 100 on the final average:

x = 100,

av = (85+78+84+100)/4 = 86,75 and 86,75∠90.

Answer: No, the higher grade obtained would be 86,75.

What grade you must have in the final to earn a B in the course

To earn a B, av≥80:

$av= \frac{85+78+84+x}{4 \ }\geq 80\\ \frac{247+x}{4}\geq80 \\247+x\geq 80*4\\ x\geq 320-247\\ x\geq 73$

Answer: I must have a 73 or MORE to earn a B in the course

6 0

3 years ago

Evaluate if m = 16 and p = 2. 1 2 m + 3p A) 10 B) 14 C) 18 D) 48

Ivenika [448]

Put the values of m and p to the expression:

$\dfrac{1}{2}m+3p\\\\m=16;\ p=2\\\\\dfrac{1}{2}\cdot16+3\cdot2=8+6=14\to B)$

4 0

3 years ago

Five times the sum of 173 and 32

Sladkaya [172]

173+32=205 , so 205 times 5 would equal 1,025 . so the answer would be 1,025 .

4 0

2 years ago

Read 2 more answers

How many dimes would you need to make $90.10

noname [10]

If a dime equals 10¢, and 10 dimes equals 100¢ (or $1) you need to divide.
$90.10/10¢=90.1 dimes you need I think.

Hope this helps

3 0

3 years ago