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jeka94
3 years ago
15

Solve the following multiplication and division problems.

Mathematics
1 answer:
algol133 years ago
5 0

Answer:

a. 22.5 km

b. 267.52 m

c. 95 m

d. (4.2)(10^{-5}) km

Step-by-step explanation:

a. You can convert from hectometers to kilometers, and then you can make the multiplication:

\frac{5hm}{10}=0.5km

(3km)(0.5km)(15)=22.5km

b. You can convert from centimeters to meters, and then you can make the multiplication:

\frac{44cm}{100}=0.44m\\(19m)(0.44m)(32)=267.52m

c. You only need to divide 1,140 meters by 12:

\frac{1,140m}{12})=95m

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:

\frac{6hm}{10}=0.6km

\frac{7dam}{100}=0.07km

\frac{5m}{1000}=0.005km

\frac{(3km)(0.6km)(0.07km)(0.005km)}{15}=(4.2)(10^{-5}) km

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Elaine has three types of nuts, peanuts, cashews and almonds, that she combines and stores in a large container: There are three
wlad13 [49]

Answer:

There are 9 ounces of peanuts

Make the ounces of cashews equal to three, and this works! Don’t know the math otherwise :|

8 0
2 years ago
Gemoetry <br> PLEASE HELP!!
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

the triangles are similar because they are proportional. the 3 sides of 2 triangles fall in a particular table.

6 0
3 years ago
An equilateral triangle has a perimeter of 48 cm. What is the area?
KiRa [710]

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

6 0
3 years ago
X-3&lt;9<br><br> What’s the answer to this everbody should know
Murrr4er [49]

Answer:

x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

x−3<9

Step 1: Add 3 to both sides.

x−3+3<9+3

x<12

Answer:

x<12

5 0
3 years ago
4x-5y=-3
tresset_1 [31]
4x - 5y = -3  ⇒ 1st equation
2x + 3z = 4  ⇒ 2nd equation
3y - z = 8     ⇒ 3rd equation

find the value of z.

3y - z = 8
- z = 8 - 3y
z = (8 - 3y) / -1
z = -8 + 3y

Substitute z with its value in the 2nd equation:
2x + 3z = 4
2x + 3(-8 + 3y) = 4
2x - 24 + 9y = 4
2x + 9y = 4 + 24
2x + 9y = 28

find value of x
2x + 9y = 28
2x = 28 - 9y
x = (28 - 9y)/2
x = 14 - 9y/2

Substitute the value of x in 1st equation
4x - 5y = -3
4(14-9y/2) - 5y = -3
56 - 36y/2 - 5y = -3
- 36y/2 - 5y = -3 - 56
- 36y/2 - 5y = - 59
2(-36y/2 - 5y) = 2(-59)
-36y - 10y = -118
-46y = -118
-46y/-46 = -118/-46
y = 2 26/46
y = 2 13/23  

x = 14 - 9y/2
x = 14 - 9 (2 13/23) /2
x = 14 - 9 (59/23) / 2
x = 14 - 531/23 / 2
x = 14 - 531/23 * 1/2
x = 14 - 531/23*2
x = 14 - 531/46
x = (14*46/46) - 531/46
x = 644/46 - 531/46
x = (644-531)/46
x = 113/46
x = 2 21/46

z = -8 + 3y
z = -8 + 3(2 13/23)
z = -8 + 3(59/23)
z = -8 + 177/23
z = (-8*23/23) + 177/23
z = -184/23 + 177/23
z = (-184 + 177)/23
z = -7/23

x = 2 21/46 ; y = 2 13/23 ; z = -7/23

4x - 5y = -3
4(113/46) - 5(59/23) = -3
452/46 - 295/23 = -3
9.826 - 12.826 = -3
-3 = -3

2x + 3z = 4
2(113/46) + 3(-7/23) = 4
226/46 - 21/23 = 4
4.913 - 0.913 = 4
4 = 4

3y - z = 8
3(59/23) - (-7/23) = 8
177/23 + 7/23 = 8
7.696 + 0.304 = 8
8 = 8 

8 0
3 years ago
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