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Luden [163]
2 years ago
8

(05.03)

Mathematics
1 answer:
iren [92.7K]2 years ago
8 0

x=2

1:Subtract 2x from both sides.

2:Combine 2/3 x and -2x to get -4/3

3:Subtract 3/8 from both sides. Anything subtracted from zero gives its negation.

4:Multiply both sides by -3/4,the reciprocal of -4/3

5:Multiply − 3/8 ​ times − 4/ 3 ​ by multiplying numerator times numerator and denominator times denominator.

6:Do the multiplications in the fraction −8(−3) over 3x4.

x=24/12

Divide 24 by 12 to get 2.

x=2

​

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Emani has $10.00 to spend at the grocery store. So far, in her basket, she has 6 cans of soup that cost $0.47 each and a gallon
dmitriy555 [2]

Answer:

$3.30

Step-by-step explanation:

6×0.47=2.82 (money spent on soup)

2.82+3.88=6.70 (total money spent on soup and milk)

10.00-6.70=3.30 (money she has left after buying soup and milk)

5 0
3 years ago
On a map 0.75 inch represents 80 miles. Two cities that are 1025 miles apart will be how far apart on a map round to nearest ten
icang [17]

The cities are 9.6 inches apart on map.

Step-by-step explanation:

Given,

80 miles in actual = 0.75 inch

1 mile = \frac{0.75}{80}\ inch

Distance between two cities = 1025 miles

1025 miles on map = 1025*\frac{0.75}{80}\\

1025\ miles\ on\ map=\frac{768.75}{80}\\\\1025\ miles\ on\ map=9.6\ inches

The cities are 9.6 inches apart on map.

Keywords: distance, multiplication

Learn more about distance at:

  • brainly.com/question/12613605
  • brainly.com/question/12700460

#LearnwithBrainly

4 0
3 years ago
A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the
grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = \frac{diameter}{2}=\frac{66}{2} =33 \ mm

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = \frac{4}{3}\pi r^3

Now Volume of Gumball = \frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = \frac{diameter}{2}=\frac{58}{2} =29 \ mm

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = \frac{4}{3}\pi r^3

So Volume of gumball's spherical hollow core = \frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = 48347.6\ mm^3

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0
3 years ago
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