MATHEMATICS HIGH SCHOOL

What is 42/4 as a mixed number

Answers

Answer 1
Answer:

42/4

DIVIDE THE TOP BY THE BOTTOM NUMBER. 42/4= 10 WITH 2 LEFT OVER
10 2/4 REDUCE BY DIVIDING BY 2

THE ANSWER IS 10 1/2

SORRY IT WOULD NOT LET ME EDIT
Answer 2
Answer: if you divide 42 and 4 you will get 10 remainder 2 the 2 turns into 2/4 so it's 10 and 2/4

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How do I factor and simplify this?

Answers

You can simplify it further to: 2n-1 over 3n-5

Which diagram represents the factors of m2 – 10m + 16 ?

Answers

Answer:

Last Table

Step-by-step explanation:

We are given a equation

m²-10m+16

We have to find which diagram represents the factor of m²-10m+16

we will use splitting the middle term method:

 m²-10m+16 can also be written as

m²-8m-2m+16

= m(m-8)-2(m-8)

=(m-2)(m-8)

so, Last Table represents the factors of m²-10m+16
The last table is the correct choice. Because when you use the X method on the equation your answers from that is (m-8)(m-2).

Which expression has a simplified expression of 5x - 12?1.) -3(4 x - 4) - 7 x
2.) 3(4 x - 4) - 7 x
3.) 3(-4 x + 4) - 7 x
4.) -3(-4 x - 4) - 7 x
this is multiple choice

Answers

TherightanswerisofoptionB.

please see the attached picture for full solution

Hopeit helps

Goodluck on your assignment

Answer:

2.) 3(4 x - 4) - 7 x

Step-by-step explanation:

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°

In a survey at a local​ university 35%, of students say that they get less than the recommended eight hours of sleep per night. In a group of 2000 ​students, how many would you expect get eight or more hours of sleep per​ night?

Answers

Answer:

1,500 students

Step-by-step explanation:

Since in the question it is mentioned that 35% of students get less than 8 hours of sleep

And, there is a group of 2,000 students

Now the number of students who get eight or more hours per night sleep is

Suppose the total percentage be 100

Now the students more than 8 hours is

= 100 - 35%

= 0.75

And, the total students is 2,000 students

So, the number of students who get eight or more hours is

= 2,000 students × 0.75

= 1,500 students

The same is to be considered

The price of a coat increased by 20% in December, and then decreased by 20% three months later. If the finalprice of the coat was $144, what was the original price of the coat before December ?

Answers

Answer:

The answer is 150

Step-by-step explanation:

If you take 20 percent of 144 you get 28.8 but then you must subtract from 144 that leave you with 150.2 the 0.2 dosent matter
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