- 5n +5=55
Here is the equation how do you solve?

Answer:

6x + 24

Step-by-step explanation:

Distributive property means that multiply the bracket multiplies each part inside and keeps the signs the same:

6 * x = 6x

6 * 4 = 24

Answer:

6x+24

Step-by-step explanation:

6(x+4)

Distribute the 6 to each term inside the parentheses

6*x + 6*4

6x+24

Answer:

Step-by-step explanation:

5¾ + (-¼)

Turn the mixed number to an improper fraction.

5¾ + (-¼) = 23/4 - ¼ = (23-1)/4 = 22/4 = 11/2 = 5½

:::::

-⅔ + ⅙

Give the fractions a common denominator. The least common multiple of 3 and 6 is 6.

-⅔ + ⅙ =  -4/6 + 1/6 = -3/6 = - ½

:::::

-8/5 + (-¾)

Give the fractions a common denominator. The least common multiple of 5 and 4 is 20.

-8/5 + (-¾) = -32/20 - ¾ = -32/20 - 15/20 = -47/20

Answer:

ggggmd

hsmhdmvx.hffyfylltet

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:

14 pushups per min

70 pushups in 5 min

Step-by-step explanation:

Answer:

A x B = 5/6 x 3/4 = 15/24

Answer = 15/24

Step-by-step explanation:

Answer:

We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.

We know that area of rectangle is width times length.

To find the area of the given rectangle we will multiply both side length as:

Area of regatangle = width x Lenghth

Area of regtangle = 3/4 x 5/6 yard to the 2 power

Area of regtangle = 1/4 x 5/2 yard to the 2 power

Area of regtangle = 1 x 5/ 4x2 yard to the 2 power

Area of regtangle = 5/8 yard to the 2 power

Therefore, the area of the given rectangle would be 5/8 square yards.

Answer:

 -9p3 + 6p2 + 9p - 26/ p

Step-by-step explanation:

hope this helps

Answer:

ANSWER IS 70!

Step-by-step explanation:

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:

36 units

Step-by-step explanation:

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:

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:

[tex]p(x) = (x-4)(x - \frac{5}{3})(x - 1)[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

We have the polynomial [tex]p(x) = 3x^3-20x^2+37x-20[/tex]

It has a known factor [tex]x - 4[/tex]. This means that the polynomial can be written as:

[tex]p(x) = (x-4)q(x)[/tex]

In which q(x) is a second order polynomial, because p is of the third degree and q is of the first degree(3 - 1 = 2). So

[tex]q(x) = ax^2 + bx + c[/tex]

We have to find a, b and c. Then

[tex]3x^3-20x^2+37x-20 = (x-4)(ax^2 + bx + c)[/tex]

[tex]3x^3-20x^2+37x-20 = = ax^3 + (-4a + b)x^2 + (c - 4b)x - 4c[/tex]

Comparing both sides, we have that

[tex]a = 3[/tex]

[tex]-4c = -20 \rightarrow c = 5[/tex]

[tex]c - 4b = 37[/tex]

[tex]-4b = 32 \rightarrow b = -8[/tex]

Now we find the roots of this polynomial.

[tex]\bigtriangleup = b^{2} - 4ac = (-8)^2 - 4(3)(5) = 64 - 60 = 4[/tex]

[tex]x_{1} = \frac{-(-8) + \sqrt{4}}{2*3} = \frac{5}{3}[/tex]

[tex]x_{2} = \frac{-(-8) - \sqrt{4}}{2*3} = 1[/tex]

So, as a product of it's factors, we have that q is:

[tex]q(x) = (x - \frac{5}{3})(x - 1)[/tex]

And p(x)

[tex]p(x) = (x-4)q(x)[/tex]

[tex]p(x) = (x-4)(x - \frac{5}{3})(x - 1)[/tex]

Answer: (x-4)(3x-5)(x-1)

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

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:

[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:

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: 50,388,480

just keep multiplying or use a calculator

Answer:

She is determined

Step-by-step explanation:

Answer:

Determined

Step-by-step explanation:

Answer: The entire trip is 62.5 miles

Step-by-step explanation:

25 miles = 0.4x

Divide both sides by 0.4

25/0.4 = 62.5 miles

Answer:

Age of Qasim =  6 year

Age of Asif = 1 year

Step-by-step explanation:

Let :

Age of Qasim = x

Age of Asif = x -5

After 4 years there age will be:

Age of Qasim = x+4

Age of Asif = x-5+4 = x-1

We are given: Four years later, Qasim will be twice as old as  Asif.

Age of Qasim = 2 (Age of Asif)

x+4=2(x-1)

x+4=2x-2

2x-x=4+2

x=6

So, We get x = 6

The present ages will be:

Age of Qasim = x = 6 year

Age of Asif = x -5 = 6-5 = 1 year

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

Explanation:

The formula for calculating the distance between two points is: d = √ ( x 2 − x 1 ) 2 + ( y 2 -y 1 ) 2  Substituting the points from the problem gives: d = √ ( 0 − 5 ) 2 + ( 4 − 1 ) 2   d = √ ( − 5 ) 2 + ( 3 ) 2 d = √ 25 9 d = √ 34 Or d =3 5.8 rounded to the nearest hundredth.

My answer was wrong, I'm am very sorry

Answer:

uhhh i might be l;ate lol

Step-by-step explanation:

Answer:

the first one hehdhdhrgdhfggd

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:

3ft 6in or 42 inches in total

Step-by-step explanation:

hope this helps