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Aleksandr [31]
3 years ago
8

Write −0.312 as a fraction in simplest form.

Mathematics
2 answers:
ZanzabumX [31]3 years ago
6 0

Answer:

-39/125

needs more characters

Natalka [10]3 years ago
4 0

Answer: -\frac{39}{125}

Step-by-step explanation:

  • -\frac{312}{1000} (-0.312 written as a fraction)
  • -\frac{312/8}{1000/8} (8 is the GCF)
  • -\frac{39}{125}
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Which of the following stanements shows the inverse property of addition?
Nikitich [7]

Answer:

0\cdot \:y+\left(-0\cdot \:y\right)=0  the  statement shows the inverse property of addition as the sum of a number and its inverse is zero.

Step-by-step explanation:

As we know that Inverse Property of Addition states if you add any number to its opposite, the result will be zero.

For example, 13 + (-13) = 0 shows that -13 is the additive inverse of 13.

In other words, the sum of a number and its inverse is zero.

Now checking from the available options,

0y+\left(-0y\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=0\cdot \:y-0\cdot \:y

\mathrm{Add\:similar\:elements:}\:0\cdot \:y-0\cdot \:y=0

=0

Thus,

0\cdot \:y+\left(-0\cdot \:y\right)=0

Therefore, 0\cdot \:y+\left(-0\cdot \:y\right)=0  the  statement shows the inverse property of addition as the sum of a number and its inverse is zero.

4 0
2 years ago
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please
joja [24]

Step-by-step explanation:

If it's a straight line the use formula

y = mx + c

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

6 0
2 years ago
Find the percent of change: 100 acres to 140 acres
nydimaria [60]

Answer: 40%

Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.

To find the percent increase, we use the following formula.

The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.

140/100 simplifies to 0<em>.</em>4.

Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.

Therefore, the percent increase is 40%.

6 0
3 years ago
A square pyramid is shown: 0.4 feet , 0.4 feet , 5 feet What is the surface area of the pyramid?
Vlad [161]
A square pyramid is called like so because its base is a square.

notice this one, its base is a 0.4x0.4 square, and the triangular faces have a base of 0.4 and an altitude or height of 5.

so we can simply get the area of the base and all four triangular faces and sum them up, and that's the surface area of the pyramid.

\bf \stackrel{\textit{squarish base}}{(0.4\cdot 0.4)}~~+~~\stackrel{\textit{4 triangles}}{4\left[\cfrac{1}{2}(0.4)(5)  \right]}\implies 0.16~~+~~4\implies 4.16
5 0
2 years ago
24. Two trapezoids have areas of 432 cm and 48 cm. Find their ratio of similarity
ivann1987 [24]

Answer:

9:1

Step-by-step explanation:

432/48=9

9:1

7 0
2 years ago
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