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2 years ago

When 12 is added to a number the result is 32 less than 3 times a number. What is this number?

Mathematics

2 answers:

neonofarm [45]2 years ago

7 0

X - the number

$x+12=3x-32 \\
x-3x=-32-12 \\
-2x=-44 \\
x=\frac{-44}{-2} \\
x=22$

The number is 22.

seropon [69]2 years ago

4 0

Let the number = x
12 + x = 3x - 32
x = 3x - 44 Subtract 12 from both sides
-2x = -44 Subtract 3x from both sides
x = 22 Divide by -2

SO THE ANSWER IS 22. HOPE THIS HELPS!!!!!!!

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The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?

dimulka [17.4K]

Answer:

9 and 16

Step-by-step explanation:

let the two numbers are X and Y

X+Y=24

X^2-Y^2=144

solve simultaneously

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2 years ago

a. Fill in the midpoint of each class in the column provided. b. Enter the midpoints in L1 and the frequencies in L2, and use 1-

Tresset [83]

Answer:

$\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & {64} & {63-65} & {1} & {67} & {66-68} & {11} & {70} & {69-71} & {8} &{73} & {72-74} & {7} & {76} & {75-77} & {3} & {79} & {78-80} & {1}\ \end{array}$

Using the frequency distribution, I found the mean height to be 70.2903 with a standard deviation of 3.5795

Step-by-step explanation:

Given

See attachment for class

Solving (a): Fill the midpoint of each class.

Midpoint (M) is calculated as:

$M = \frac{1}{2}(Lower + Upper)$

Where

$Lower \to$ Lower class interval

$Upper \to$ Upper class interval

So, we have:

Class 63-65:

$M = \frac{1}{2}(63 + 65) = 64$

Class 66 - 68:

$M = \frac{1}{2}(66 + 68) = 67$

When the computation is completed, the frequency distribution will be:

Solving (b): Mean and standard deviation using 1-VarStats

Using 1-VarStats, the solution is:

$\bar x = 70.2903$

$\sigma = 3.5795$

See attachment for result of 1-VarStats

8 0

2 years ago

Add one and one tenths equals three and one half

navik [9.2K]

Answer: 12/5 or 2 2/5

Step-by-step explanation: 7/2 - 11 /10

6 0

3 years ago

Jason and Jenny are out on a lunch date. Jason gives Jenny a bouquet that has 4 roses, 3 carnations, and 4 orchids. They decide

Law Incorporation [45]

The probability that Jenny gets to choose lunch is 64% 0.64 (rounded) or 0.636.

Work:

Number of roses and carnations divided by the total number of flowers

7/11 = 0.636 = 0.64 (rounded)

once again same answer

4 0

2 years ago

A company donates 2,292 gifts to a school. the gifts are diveded evenly among 19 classrooms. The rest of the gifts are given to

BARSIC [14]

Answer:

Each classroom received 120 gifts and the hospital received 12 gifts

Step-by-step explanation:

Division As Evenly Distribution

The first concept we manage when learning about divisions is how to distribute an amount N among m elements such as everyone receives the same amount.

If the nature of the problem allows distributing decimal portions of N, then every receiver gets exactly the same amount N/m.

But things are different when the division must be an integer number. For example, if we wanted to divide gifts, we cannot give partial gifts. So the correct division is a matter of the study of integer numbers.

If N is divisible by m, i.e. there is no remainder in the division, then each element will receive N/m gifts. But what if they are not divisible? We must divide and take the integer part of the division and discard the remainder

We want to divide 2,292 gifts to the school, where there are 19 classrooms. If we divide 2,292/19 we get 120 and a remainder of 12.

Answer. Each classroom received 120 gifts and the hospital received 12 gifts

6 0

3 years ago