All categories

3 years ago

A student is trying to solve the set of two equations given below:

1 answer:

7 0

If you would like to eliminate the z-term, you can do this using the following steps:

x + z = 6 /*(-2)
3x + 2z = 1
_____________
-2x -2z = -12
3x + 2z = 1
_____________
-2x + 3x = -12 + 1
x = -11

The correct result would be x + z = 6 /*(-2).

You might be interested in

Find the area. Show formulas, work, and label your answer.

egoroff_w [7]

Answer:

34.1

Step-by-step explanation:

8 4/5 is not needed. The other two will given you the answer.

Area = 1/2 * b * h

b = 12 2/5 = 12.4

h = 5 1/2 = 5.5

Area = 1/2 * 12.4 * 5.5

Area = 34.1 square feet.

6 0

2 years ago

5 8/25 as a decimal show work

bekas [8.4K]

Answer:

Split the number into the whole number component and fraction component.

5 8/25= 5+8/25.

For the denominator, recognize that

25×4=100.

Multiple =4.

Multiply the numerator and the denominator by the multiple 4.

8×4/ 25×4.

Simplify.

32/100=0.32

Combine the whole number component with the decimal.

5+0.32=5.32

<h3>I hope this helps</h3>

3 0

3 years ago

Need help :) pleaseeeeeee :(

gayaneshka [121]

Answer: $x\geq 88$

This means that he has to save at least $88 or more to have enough money.

Step-by-step explanation:

He has $37 and he needs to save more (+) but we don't know how much more that is, so that's why that is our unknown value. (x). The sum of them has to be at least 125 or greater.

$37+x\geq 125$

Subtract 37

$x\geq125-37$

$x\geq 88$

8 0

3 years ago

In a geometric sequence, the__ between consecutive terms is constant

kow [346]

Answer:

In a geometric sequence, the ratio between consecutive terms is constant.

Step-by-step explanation:

A geometric sequence is where you get from one term to another by multiplying by the same value. This value is known as the constant ratio, or common ratio. An example of a geometric sequence and it's constant ratio would be the sequence 4, 16, 64, 256, . . ., in which you find the next term by multiplying the previous term by four. 4 × 4 = 16, 16 × 4 = 64, and so on. So, in this sequence the constant ratio would be four.

3 0

3 years ago

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

Tema [17]

Answer:

2 $\frac{1}{16}$

Step-by-step explanation:

The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is 1/6 of n = 1/6 × n = $\frac{n}{6}$

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n = $\frac{5n}{2}$

So the question says that, when we add; $\frac{n}{6}$ , $\frac{5n}{2}$ and 7 all together, the value is 12 1/2

That is;

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = 12 1/2

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$ ( changing 12 1/2 to improper fraction will give $\frac{25}{2}$ )

So we can now go ahead and solve for n

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$

subtract 7 from both-side of the equation

$\frac{n}{6}$ + $\frac{5n}{2}$ = $\frac{25}{2}$ - 7

$\frac{n + 15n}{6}$ = $\frac{25 -14}{2}$

$\frac{16n}{6}$ = $\frac{11}{2}$

$\frac{16n}{6}$ can be reduced to give us $\frac{8n}{3}$

$\frac{8n}{3}$ = $\frac{11}{2}$

Cross multiply

8n × 2 = 11× 3

16n = 33

Divide both-side of the equation by 16

$\frac{16n}{16}$ = $\frac{33}{16}$

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)

n = $\frac{33}{16}$ = $2\frac{1}{16}$

Therefore the number is $2\frac{1}{16}$

5 0

3 years ago