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4 years ago

15

Without changing the order of the numbers below, insert parentheses and/or addition signs so that the computation results in the

number described below. 4 3 6 1 a. The number is a multiple of 5. b. The number is a factor of 36.

1 answer:

Maurinko [17]4 years ago

7 0

4,3,6,1

(a) multiple of 5 : 4(3 + 6 + 1) = 4(10) = 40
(b) factor of 36 : (4)(3) + (6)(1) = 12 + 6 = 18

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−6x + 14 < −28 OR 9x + 15 ≤ −12. solve for x.

sasho [114]

Answer:

x>7 or x ≤ -3

Step-by-step explanation:

Solving the 1st inequality

-6x +14 < -28 --------------- (Collect like terms)

-6x < -28 - 14

-6x < - 42 -------------------- (Divide both sides by -6)

Note: If you decide an inequality expression by a negative value, the inequality sign changes)

-6x/-6 > -42/-6

x > 7

Solving the 2nd inequality

9x + 15 ≤ −12 ----------- (Collect like terms)

9x ≤ −12 - 15

9x ≤ −27 ------------------(Divide both sides by 9)

9

9x/9 ≤ −27/9

x ≤ -3

Bring both results together, we get

x>7 or x ≤ -3

The final result is complex (i.e. can't be combined together).

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4 years ago

What is the surface area of a rectangular prism with length 5 centimeters width 2 centimeters and height 3 centimeters

yawa3891 [41]

Area is 62 centimeters

6 0

3 years ago

Read 2 more answers

2 divided by 3.6<br> in standard algorithm

zaharov [31]

The answer is going to be 0.55555556. hope that helped

6 0

3 years ago

redo question 18 above with the same amount of deposit and the same interest rate, but with the interest compounded quarterly. h

yanalaym [24]

There are no given figures. I'll just show what the difference is. Let us assume the following
Principal = 10,000
interest rate = 12%
term = 4 years

Simple Interest = Principal * interest rate * term
S.I = 10,000 * 12% * 4 years
S.I = 4,800

Total value at the end of 4 yrs = 10,000 + 4,800 = 14,800

Compounded Interest. Compounded quarterly.
A = P(1 + r/n)^n*t
A = 10,000 (1 + 12%/4)^4*4
A = 10,000 (1.03)^16
A = 10,000 (1.60)
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4 years ago

Mr. Corbin measures the lengths of three branches. The first branch

anygoal [31]

Answer:

2nd branch > 1st branch > 3rd branch

or

$\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}$

Step-by-step explanation:

Length of First branch = $\frac{2}{3}$ foot

Length of second branch = $\frac{2}{2}$ foot

Length of third branch = $\frac{2}{8}$ foot

Let us convert the fractions in decimal forms:

$1.\ \dfrac{2}{3} = 0.67$

$2. \dfrac{2}{2} = 1$

$3.\ \dfrac{2}{8} = \dfrac{1}{4}=0.25$

It can be clearly seen that 1 is the largest value among the three values.

So, 2nd branch is the largest.

Now, let us have a look at the values of first and third branches:

0.67 and 0.25.

Clearly, 0.67 is greater than 0.25.

So, the correct order is:

2nd branch > 1st branch > 3rd branch

OR

We can use other method to see it.

Here, all the 3 fractions have same numerator.

So, denominator can help us decide the which fraction has a large value.

If numerator is same, the larger denominator will have smaller fractions.

The denominators are 2, 3 and 8.

8 > 3 > 2

So, the answer is

2nd branch > 1st branch > 3rd branch

or

$\dfrac{2}{2} > \dfrac{2}{3} > \dfrac{2}{8}$

5 0

3 years ago