Solve the inequality
8(x/4 - 6) >_ 4

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

[tex]\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110[/tex]

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

Answer:

twelve

Step-by-step explanation:

y=2(3)+6

y=6+6

y=12

thats basically how you do it

Answer: True

The set of whole numbers is {0, 1, 2, 3, 4, 5, ...}

The set of natural numbers is {1, 2, 3, 4, 5, ...}

Both sets describe numbers that are positive and without any fractional or decimal component. The only difference is that 0 is included in the first set, but exclude from the second. If you want to include negative whole numbers as well, then you'd use the set of integers.

The given statement is true.

A number is an arithmetic value used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics.

The statement given is says that, the set of whole numbers includes zero, but the natural numbers do not.

So, if we see the definition of both types of numbers, we can say that the whole numbers are the natural starting from 0, and the natural numbers are the one which includes only counting numbers used in our daily life.

Hence, the given statement is true.

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Answer:

Infinite Solutions

Step-by-step explanation:

3x-7=3x(x-3)+2

3x-7=3x-9+2 - Distributive Property

3x-7=3x-7 - adding the right side together

Answer:

The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01

Step-by-step explanation:

Groups               Sample Size      Mean        Standard Deviation

1                              11                      65                   4.7

2                            16                      74                    2.5

Formulate null and alternate hypotheses as

H0 : u1 < u2 against Ha: u1 ≥ u 2

That is the mean of the group 1 is lower than the mean of the group 2

Degrees of freedom is calculated df = υ= n1+n2- 2= 11+16-2= 23

The significance level alpha is chosen to be ∝ = 0.05

The critical region t ≤ -t (0.05, 23) = -1.714

And if we choose alpha = 0.01 the critical region would be  

t ≤ -t (0.05, 23) = -2.5

Here the difference between the sample means is x`1- x`2= 65-74= -9

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/11+16-2 [ (65)²+(74)²]

= 1/23[ 4225+5476]

= 1/23[9701]

=421.782

Sp =√ 421.782=20.5373

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -9/ 20.5373√1/11+ 1/16

t= -9/8.0439

t= -1.118860

The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01

Answer:

247000000

Step-by-step explanation:

10^8 = 10×10×10×10×10×10×10×10

=100000000

or, downloaded=100000000×2.47

=27000000

Answer: 453 more downloads   1,547 more downloads

7,549 more downloads   435 more downloads  ( it will be one of these answers pls help me im doing a quiz) ~cries cutely~

Step-by-step explanation:

An app was downloaded 3,548 times last week. This week the app was downloaded 4,001 times. How many more downloads did the app have this week than last week

Answer:

x>3 or x≤-2

Step-by-step explanation:

4x-7>5 or 5x+4≤-6

4x>5+7 or 5x≤-6-4

x>3 or x≤-2

Answer:

2.25 lbs

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

9/2 = 4.5

4.5/2 = 2.25

Answer:

The answer is C and E.

Step-by-step explanation:

I just took the assignment and it is C and E.

The expression that represents the population after 5 decades is

100,000 x [tex]2^5[/tex] or 100,000 x 2 x 2 x 2 x 2 x 2.

Options C and E is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

The population of the city = 100,000

Population doubles every decade.

This means,

Population after 1 decade.

= 100,000 x 2

= 200,000

Population after 2 decades.

= 200,000 x 2 x 2

= 800,000

We can write an expression for the population after x decade.

= 100,000 x [tex]2^x[/tex]

The population after 5 decades.

= 100,000 x [tex]2^5[/tex]
= 100,000 x 2 x 2 x 2 x 2 x 2

= 100,000 x 32

= 3200,000

Thus,

The expression is 100,000 x [tex]2^5[/tex] or 100,000 x 2 x 2 x 2 x 2 x 2.

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Answer:

-6x-9=  1

2x^5-x^4+2x^3-6x^2+2x+4= 5

-4x^3-10^2+7x+5= 3

Step-by-step explanation:

i just did and everything was right

Answer:

She is determined

Step-by-step explanation:

Answer:

Determined

Step-by-step explanation:

Answer:

3ft 6in or 42 inches in total

Step-by-step explanation:

hope this helps

Answer:

40%

Step-by-step explanation:

Move the period over twice then place the percentage sign where you moved the period to

Answer:

40%

multiply both numerator and denominator by 100. You do this to find a equivalent fraction having 100 as the denominator. The fraction is 40 over 100, 100 represents the whole thing 40 is the part so it's basically part over whole. 40% is your answer. I'm sorry if my explanation made no sense

Answer:

[tex]-\frac{11}{6}\ \frac{inches}{second}[/tex]

Step-by-step explanation:

Rate of Change

The average velocity is defined as the rate of change of the distance with respect to time. The table shows the distances of an object as a function of time.

It's required to find the average velocity between 8 s and 20 s.

The rate of change can be approximated as the slope between two points. We take from the table the points (8,32) and (20,10) and calculate the slope.

The slope can be calculated with the equation:

[tex]\displaystyle v=\frac{d_2-d_1}{t_2-t_1}[/tex]

[tex]\displaystyle v=\frac{10-32}{20-8}=\frac{-22}{12}[/tex]

Simplifying:

[tex]\displaystyle v=-\frac{11}{6}[/tex]

Choice: B. [tex]\mathbf{-\frac{11}{6}\ \frac{inches}{second}}[/tex]

Answer:

ANSWER IS 70!

Step-by-step explanation:

Answer:

14 pushups per min

70 pushups in 5 min

Step-by-step explanation:

Answer:

 -9p3 + 6p2 + 9p - 26/ p

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  2.  x ≈ 17.74

  3.  x ≈ 16.64

Step-by-step explanation:

The tangent function relates an angle to the opposite and adjacent sides of a right triangle:

  Tan = Opposite/Adjacent

Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...

  Opposite = Adjacent×Tan

__

2.  x = 32×tan(29°) ≈ 17.74

3.  x = 13×tan(52°) ≈ 16.64

_____

Hopefully, we've given enough decimal places so that you can round to the precision you need.

Answer:

x = 121

Step-by-step explanation:

In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.

Answer:

121

Step-by-step explanation:

x-93=28

x=28+93

x=121

Answer:

36 units

Step-by-step explanation:

5x-14=3x

Then you just solve for x

X being 7

Hope this helped!

Answer:

1

Step-by-step explanation:

281,847,583,332.9

Answer:

I think 847

Step-by-step explanation:

The order of place value is trillion, billions, millions, thousands, and ones. Billion comes third. This is why I think its 847.

I hope this helps u! :D

Answer: 10.5/6 - 6.5/6 = 2/3

Step-by-step explanation:

The answer is 10.5/6 - 6.5/6 = 2/3

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

Answer:

-2.17

Step-by-step explanation:

Answer:

x=62

Step-by-step explanation:

all angles should add to 180

180-56=124

124÷2=62

Answer:

Step-by-step explanation:

1st notice that two of the sides are the same length?   ( isosceles ) that mean the two angles at the "base" which is the side that both of the same size legs tie into... that's the side that is 4.5 in the picture.  soooo if both of those angles are the same.. and we know that the angles are going to add to 180 then....  we can say    the the 56° is the same as the one at the other end of the 4.5 side (base) so  2*56°=112°

and then 112° + x = 180°

x = 180-112

x = 68°

:)

Yes because in it's the same variable do it will give the same answer

Answer:

it's D

Step-by-step explanation:

it said that its more then which equals to a greater sign (>).

Answer:

90 degrees

Step-by-step explanation:

Answer:

uhhh i might be l;ate lol

Step-by-step explanation: