MATHEMATICS HIGH SCHOOL

What is 7.3939393939 (a repeating decimal) written as a fraction?!?!?!?!?!
PLEASE HELP ASAP !

Answers

Answer 1
Answer: x=7.393939...\n 100x=739.393939...\n 100x-x=739.393939...-7.393939...\n99x=732\n x=(732)/(99)

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Leila was asked to solve the equation 2 over 3 left parenthesis x plus 5 right parenthesis equals 29. The first step she did to solve the equation was 2 over 3 left parenthesis x right parenthesis plus 2 over 3 left parenthesis 5 right parenthesis equals 29. What property did she use in this step?A.associativeB.commutativeC.distributiveD.reflexiveWhich answer is right !
Multiply. 3√2⋅2√8⋅√3⋅√6 explanation would be lit
A toddler takes off running down the sidewalk at 270 ft/min. One minute later, a worried mother runs after the child at 580 ft/min. After how many minutes will the mother overtake the toddler?
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The value of y varies directly with x and y = 4.5 when x = 0.5. find y when x = 10

Given that f(x)=x+3 and g(x) = x^2 - x, find (f+g)(4)

Answers

The answer is 19

Check out the attached images for the steps. They are slightly different approaches that lead to the same answer.

A rectangular prism is 3 meters long, 4 meters wide, and has a total surface area of 94 square meters. What is its height?

Answers

SA=2(LW+LH+WH)
SA=94
L=3
W=4
94=2(3*4+3H+4H)
divide both sides by 2
47=3*4+3H+4H
47=12+7H
minus 12 both sides
35=7H
divide oth sides by 7
5=H

5m is your answer

ANSER: 5cm

Step-by-step explanation:

i had the same question and got it right

Simplify the expressions using the distributive property.8(7x + 3)5(5y - 2)

Answers

Simplify the expressions by using the distributive property.

\begin{gathered} 8(7x+3)=8\cdot7x+3\cdot8 \n =56x+24 \end{gathered}

For second expression,

\begin{gathered} 5(5y-2)=5\cdot5y+5\cdot(-2) \n =25y-10 \end{gathered}

During his workout, Elan spent 28% of the time on the treadmill. What fraction of his workout was on the treadmill?

Answers

Answer: (7)/(25)

Step-by-step explanation:

Given : During his workout, Elan spent 28% of the time on the treadmill.

We know that to convert percentage into fraction , we divide it by 100.

Thus , 28\%=(28)/(100)

Now to reduce it into lowest term , divide numerator and denominator by 4, we get

(28)/(100)=(7)/(25)

Hence, the fraction of his workout was on the treadmill = (7)/(25)
A percent always mean something out of a 100. So, you write - 28/100. This ca be so pied further by 2. So, then the fractions becomes - 14/50. This cane further be simplified by 2, so the fraction is 7/25. And that is your final answer.

A prism has a surface area of 350 mm2.Find the surface area of a scaled image with a scale factor of 2.

Answers

Just put an exponent of '2' on the scale factor and multiply it by the surface area.

Scale factor = 2

\sf2^2\rightarrow4

Multiply it:

\sf350*4=1400~mm^2
You would mulitply the factor by itself
2^2 = 4

then you would multiply the surface area by 4 

350 x 4 = 1400 mm^2

Answer 1400 mm^2

Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.What is the measure of ∠GET?

A. 55°
B. 20°
C. 35°
D. 110°

Answers

Line ET is tangent to circle A at T

∴ ET ⊥ TN 
∴ ∠ ETN = 90
the measure of Arc TG = 70

∠ TNG = half the measure of Arc TG = 0.5 *70 = 35

Δ ETN ⇒ The sum of all angles = 180

∴∠ GET = ∠ NET = 180 - (90 + 35 ) = 55


∴ The correct answer is option A. 55°

I will calculate this problem in two ways

alternative method 1
we know that
The inscribed angle measures half of the arc it comprises.
∠TNE=(1/2)*arc TG------> (1/2)*70°----> 35°

the triangle TEN is a right triangle
∠TNE+∠GET=90°-----> by complementary angles
∠GET=90-35---> 55°

the answer is
∠GET=55°

alternative method 2
we know that
The measure of the external angle is the semi difference of the arcs that it covers.
∠GET=(1/2)*[arc TN-arc TG]---> (1/2)*[180-70]---> (1/2)*110---> 55°

the answer is
∠GET=55°
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