7n + 5 =68.... how to solve this problem and show my work​

Answer:

[tex] -m + 6 = 3m + 14 [/tex]

Step-by-step explanation:

Given:

[tex] -(m - 6) = 3m + 14 [/tex]

Required:

Multiply (m - 6) by -1.

Solution:

To multiply (m - 6) by -1, we would be applying the distributive property. This means that we would multiply each term in the parentheses by -1.

Thus:

[tex] -1(m) -1(-6) = 3m + 14 [/tex]

The result would be:

[tex] -m + 6 = 3m + 14 [/tex] (negative times negative = positive)

Answer:

29,30,31

this is basically like counting just add 1

Answer:

2.221

Step-by-step explanation:

Multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. To check if your answer is reasonable, estimate the quotient by rounding the divisor and dividend to the nearest whole numbers.

ANSWER:

try 2.721....................

Um th eanswer is 56-64-34-3402-30 = 19038

Answer:

20 pieces of rope

Step-by-step explanation:

Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.

5 x 4 = 20 pieces of rope.

I hope that this helps! :)

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

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Answer:

D. 24

Explanation:  

First you would need to find how many you need for one coat.

400 times 12 = 4,800

(That will give you a little extra paint)

Then just double 12 to get two coats and you would get D.

Have a nice day!

Hope this helped.

Answer:

Width is 9 1/2 in.

Step-by-step explanation:

My reasoning is that, since youve gotten the area (99 3/4), your asked to find the width. You have the length which is 10 1/2. In this situation youre expected to divide. What you divide is 99 3/4 by 10 1/2. If you calculate this, you get a quotient of 9 1/2. I’m not very ethical at explanations, but I hope you found it helpful somehow.

Answer:

f(2) = 28

Step-by-step explanation:

[tex] \rm f(x) = 8 {x}^{2} + 4x - 12 [/tex]

[tex] \rm Evaluate \: 8 x^2 + 4 x - 12 \: where \: x = 2: \\ \\ \rm \implies f(2) = 8 \times {2}^{2} + 4 \times 2 - 12 \\ \\ \rm \implies f(2) = 8 \times 4 + 8 - 12 \\ \\ \rm \implies f(2) = 32 - 4 \\ \\ \rm \implies f(2) = 28[/tex]

Answer:

A) b= 8 students

B)  1) 19/55   2) 28/55

Step-by-step explanation:

I'm sorry if I'm getting this whole concept wrong cause it felt way too easy to be right so I'm sorry if you get it wrong.

The reason the first question is 8 is because of the fact that you first have to add the students charted on the Venn-diagram and subtract that from 55, getting you to 8 students.

For the second one, the first part would be 19/55 becuase in the Venn-diagram it is shown that only 19 people passed both and so that be the numerator and the denominator would be the total of students, so it would be 55.

Same thing for part two except the fact that you have to add the students who only passed one subject, so combine 17 and 11, getting you to 28, thus getting the answer 28/55.  

Answer: i might be wrong but i think it would be 261. sorry if i made a mistake

Answer:

49, 35, 32

Step-by-step explanation:

A prime number is a number whose factors are 1 and itself

Eg 7

7 is a prime number because it only comes in table one and 7

Or it’s only factors are 1 and itself

A composite number comes in 1, itself and other tables

Eg. 16

It comes in table 1, 2, 4 and 16

Answer: 49,32,35.

Hope this helps!

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

To learn more, visit the link below:

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Answer:

Eight root of to the fifth power.

Step-by-step explanation:

2^7/8  / 2^1/4

= 2^(7/8 - 1/4)

= 2^5/8

= eight root of to the fifth power.

Answer:

the eighth root of 2 to the fifth power .

Answer:

 [tex]\frac{-3 y^{11} }{x}[/tex]

Answer:

 ∠1 is 180° − 80° = 100°.

Step-by-step explanation:

Using the corresponding angles, the 80° angle is congruent to the angle that is supplementary to ∠1, as shown. The measure of ∠1 is 180° − 80° = 100°.

The measure of ∠b comes to be 100°.

As we know,

In window advertisement,

∠b and 80° are supplementary angles to each other.

When the sum of Two angles is 180°, each angle is said to be the supplement of the other angle.

As ∠b +80° =180°

∠b = 180°-80°

∠b = 100°.

Therefore, The measure of ∠b comes to be 100°.

To get more about supplementary angles visit:

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Answer:

12

Step-by-step explanation:

48 divided by 4 is 12

Answer:

1/5

Step-by-step explanation:

You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.

And it is positive because it is pointed to the right side.

Hope this helps

Answer:

y= csc(x)+1

Step-by-step explanation:

A P E X

cosec(X) + 1  has the range (-infinity,-2]U[0,infinity)

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, the given range (-infinity,-2]U[0,infinity) well satisfied the cosec(X) + 1

Generally, Range of Cosec x is, (-∞,-1] ∪ [1,∞).

So,

Range of Cosec (x) +1 will be ,

= (-∞,-1+1] ∪ [1+1,∞).

= (-∞, 0] ∪ [2,∞)

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Answer:

2.9

Step-by-step explanation:

2 9/10 as an improper fraction is 29/10

29/10 as a decimal is 2.9

Answer:

2.9

Step-by-step explanation:

Math. Pls give brainliest:)!

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.

Answer:

Step-by-step explanation:

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

Answer:

30

Step-by-step explanation:

tell me if im  wrong

sorry if i am TmT

Answer:10-year CD

Step-by-step explanation:

No

Answer:

0.789

Step-by-step explanation:

Number of beef flavored Ramen noodles = 10

Number of chicken flavored Ramen noodles = 10

Total number of noodles = 20

Number of ways to select 3 packages:

[tex]_{20}C_3= \dfrac{20\times 19\times 18}{3\times 2\times 1}=1140[/tex]

Number of ways to select two beef flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45

Number of ways to select one chicken flavored Ramen noodle = 10

Number of ways to select two chicken flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45

Number of ways to select one chicken flavored Ramen noodle = 10

Total number of ways so that one chicken and one beef Ramen selected = 450 + 450 = 900

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Required probability is:

[tex]\dfrac{900}{1140} = 0.789[/tex]

Answer:

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Step-by-step explanation:

The 2 equations are;

y = 2x and y = 2x - 7

Now, from slope intercept equation,

y = mx + c

Where m is slope and c is the intercept on the y-axis

From the 2 equations y = 2x and y = 2x - 7, Comparing with y = mx + c, we can see they both have a slope of 2.

For 2 lines to have same slope, it means that they are parallel and have different y-intercepts.

They should cross the x-axis when y = 0.

But at x = 0,we have;

y = 2x = 0. And x = 0

Also,for y = 2x - 7 is y = 2x - 7 = 0

2x = 7 and x = 7/2.

Thus,they don't cross the x - axis at the same point

Looking at the options, we can see that there are 3 correct ones from what we've described above namely;

-They both have a slope of 2.

-They are parallel to each other.

-They have the same slope.

Answer:

its

Step-by-step explanation:

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