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2 years ago

Write each decimal as a fraction or mixed number in simplest. -0.15= -7.75= -12.54=

Mathematics

2 answers:

Eva8 [605]2 years ago

6 0

Answer:

= -3/20 = -7 3/4 = -12 27/50

Step-by-step explanation:

For -3/20, we know that .1 is a tenth, so half of that, 0.05, must be a twentieth. -0.15 = -3 x 0.5, so it's -3/20.

For the second problem, we'll set the -7 aside for the mixed number. 0.25 is a quarter, and there's three of them (0.25 x 3 = 0.75), so it's 7 3/4

For the third problem, we again set the -12 aside for the mixed number. 0.54 is 54 one-hundreths, which is 54/100. we can reduce that by dividing both the numerator and denominator of the fraction by 2, and we get 27/50. Because 27 is prime, it cannot be reduced any further, the answer is -12 27/50.

vladimir1956 [14]2 years ago

5 0

-0.15 = -15/100 = -3/20

-7.75 = -7 3/4

-12.54 = -12 54/100 = -12 27/50

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What property is -3(m+8)=-3m-24

Damm [24]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(m+8)=−3m−24

(−3)(m)+(−3)(8)=−3m+−24(Distribute)

−3m+−24=−3m+−24

−3m−24=−3m−24

Step 2: Add 3m to both sides.

−3m−24+3m=−3m−24+3m

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

0=0

Answer:

All real numbers are solutions.

8 0

2 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$

$\sqrt {202 \ cm^{2} }=c$

$14.2126704036 \ cm =c$

We are told to round to the nearest tenth.

14.2126704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

$14.2 \ cm= c$

The hypotenuse is equal to 14.2 centimeters.

3 0

2 years ago

For what value does x does 3^2x= g^3x-4 A)1 B)2 C)3 D)4

netineya [11]

The question has an error because the letter g does not make sense in the context.

I will assume that the g is really the number 9.

In that case, the equation to solve would be:

$3^{2x} = 9^{3x-4}$

You can solve for x following these steps:

1) make $9=3^2$

=>

$3^{2x} = 3^{2(3x-4)}$

2) Given that the basis are equal the exponents have to be equal =>

2x = 2(3x - 4)

3) Solve:

2x = 6x - 8

6x - 2x = 8

4x = 8

x = 8/4

x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.

Under that assumption, the answer is the option B) x = 2.

3 0

3 years ago

10.) Write - 1/6 , 5/3 , - 5/6 in order from least to greatest.

Anarel [89]

Answer:

-5/6, -1/6, 5/3

Step-by-step explanation:

4 0

3 years ago

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Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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2 years ago