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icang [17]
3 years ago
5

Simplify the expression 2/3 [15 * 5 + (-24)] + (-18)

Mathematics
1 answer:
mihalych1998 [28]3 years ago
5 0
<span>= 2/3 [15 * 5 + (-24)] + (-18)

= 2/3 [75 - 24] - 18

= 2/3 [51] - 18

= 34 - 18

= 16

In short, Your Answer would be: Option C

Hope this helps!

</span>
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50% of it will be in each bin 
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3 years ago
What is the greatest common factor of 3, 24, and 27
patriot [66]
GCF(3, 24, 27) = 3
Steps:

Prime factorization of the numbers:

3 = 3
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3

GCF(3, 24, 27)
= 3
8 0
2 years ago
Read 2 more answers
Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest
Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting I=160,r=5,t=4 in the above formula, we get

160=\dfrac{P\times 5\times 4}{100}

160=\dfrac{20P}{100}

160=\dfrac{P}{5}

Multiply both sides by 5.

800=P

Therefore, Austin borrowed $800 from a credit union for 4 years.

8 0
2 years ago
Work out the area of the shaded region.
Makovka662 [10]

Answer: Area of the shaded region is 6.867 square cm

Step-by-step explanation:

The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.

Area of the rectangle = 4 times 8 = 32 cm^2

Area of the semicircle = 0.5 * pi * r^2   (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2

The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)

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3 years ago
It’s a review please HELP ASAP I’ve been stuck on it for awhile now
AlladinOne [14]
<h3>Answer:   7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

========================================

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

6 0
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