Morgan's way to solve the equation |2x-7| =5 is first to write |x-3.5|=2.5. explain this approach, and then finish the job.

Answers

Answer 1

Answer:

Morgan divided 2 throughout the original equation, giving her |x-3.5|=2.5.

x = 6 and x = 1

Step-by-step explanation:

|2x-7|=5 -- divide by 2

|x-3.5|=2.5 and |x-3.5|=-2.5 -- since this is an absolute value equation, we have to consider both positive and negative

x-3.5 = 2.5

x = 6

x-3.5 = -2.5

x = 1


Related Questions

10. You can model the population of a Florida town between the years 1980 and 2015 by
the function f(x) = 90,000(x – 1960), where x is the year. In what year did the town have a
population of 450,000?

Answers

Answer is the year of 1965

Solve for M in the formula S= C+M.
A. M= S+ C
B. M= S - C
C. M= SC
D. M= s/c

Answers

Answer:

im pretty sure its a

Step-by-step explanation:

Seorang siswa melakukan percobaan pengukuran suhu zat cair dengan termometer celcius menunjukkan angka 40ᵒC. Zat cair tersebut jika diukur dengan termometer reamur adalah

A. 32ᵒR
B. 50ᵒR
C. 104ᵒR
D. 313ᵒR​

Answers

Answer: A. 32ᵒR

Step-by-step explanation:

The formula for converting Reamur to Celsius is;

Reamur temperature = Celsius temperature * 4/5

= 40 * 4/5

=  32°R

Today: Saturday, 13th March 2021

12.20 AM

Answer:

32°R

Step-by-step explanation:

[tex] \sf formula : [/tex]

[tex] {\boxed{ \sf {R = \frac{4}{5} \times C}}}[/tex]

[tex] \sf R = \frac{4}{\cancel{5}} \times {\cancel{40}}[/tex]

[tex] \sf R = 4 \times 8[/tex]

[tex] \sf R = {32}^{o} [/tex]

-

[tex]{\red{\boxed{\pink{\boxed{ \sf moga \: membantu : )}}}}}[/tex]

Victoria wants to purchase a skateboard. She finds it regularly sells for $139.99 and is on sale for 15% off.
What is the final cost of the skateboard?
Write your answer in steps: (Explain how you solved it)

Answers

Answer:

118.99

Step-by-step explanation: 15% off so you're only gonna pay 85% of  139.99. so 139.99 times 85% is 118.99

Which rectangular prism has a volume equal to the expression 6 * 3 * 4?
1 cubic un
= 1 cubic unit
- 1 cubicund
= 1 cubic unit

Answers

Answer:

The bottom right one

Step-by-step explanation:

i did the test

Fourth one or right one at the bottom  rectangular prism has a volume equal to the expression 6 × 3 × 4 cubic unit.

What is volume?

" Volume is total amount of space occupied by any three dimensional body."

Formula used

Volume of rectangular prism = Length × width ×height

According to the question,

Compare the expression of given volume with given diagrams

Given volume = 6 ×3×4

From the diagram we can conclude that right one at the bottom has length = 6 units, width = 3 units and height = 4 units.

Hence, Option(D) or right one at the bottom  is the correct answer.

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A car travels 55 miles per hour for two hours. Complete the table. HELP 20 points!!!!!!!!!

Answers

Answer: If a car travels 55 miles per hour for 2 hours it will be 110 hour I guess

Step-by-step explanation: I think you want help here um I’m in 7th grade I don’t think I like this before but I can try to answer it, Is this h-help you

Write the statement as an equation Anumber decreased by six is five more than twice the number.

Answers

let the numbers be x

x-6-5=2x

Answer:

x - 6 = 2x + 5

Step-by-step explanation:

Let's break down the statement.

A number decreased by six means a number/variable subtracted by six. So, we have x - 6.

Five more than twice a number means five plus two times a number/variable. So, we have 2x + 5.

The 'is' in the middle of the statement signifies that they are equal to each other.

The equation would be x - 6 = 2x + 5.

Hope that helps.

PLS HELP WILL GIVE BRAINLIST - Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) )?

Answers

Answer:

B

Step-by-step explanation:

Got it right on the test

(B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex]

Square root:The factor we can multiply by itself to obtain a given number is the number's square root. Sqrt, which stands for "square root of," is the sign for the term. Squaring an integer is the reverse of finding its square root.Steps to square root a trigonometric function -Find the given trigonometric equation.Put the square term on its own side of the equal sign.Taking square roots on both sides.By using inverse trigonometric functions, get the value of x.Explanation:

De Moivre's theorem: [tex]z=r*[cos([/tex]θ[tex])+i*sin([/tex]θ[tex])}[/tex][tex]][/tex]

Raising both sides to the [tex]n^{th}[/tex] - [tex]z^{n} =r^{n} *[cos(n*[/tex]θ[tex])+i*sin(n*[/tex]θ[tex])][/tex]

The square root operation undoes the squaring operation, so we'll be dealing with [tex]n=2[/tex].

If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.

[tex]z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )][/tex]

Therefore, the correct answer to the question is (B) [tex]\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))[/tex].

Know more about square roots here:

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plz help! will give brainliest!!!

Answers

Answer:

1.42 x 105

Step-by-step explanation:

Answer: Each ticket costed 11.75$

Step-by-step explanation:

Find the 61st term of -12, -28, -44,

Answers

Answer:

[tex]a_{61}=-972[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

[tex]a_{61}=-12+(61-1)(-16)[/tex]

[tex]a_{61}=-12-60*16=-12-960[/tex]

[tex]\mathbf{a_{61}=-972}[/tex]

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.

Answers

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis is:

[tex]H_o: \mu = 8[/tex]

The alternative hypothesis is:

[tex]H_1 : \mu \ne 8[/tex]

The sample size n = 35

Sample mean = 7.91

variance = 0.03

Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]

The t-test statistics is computed as:

[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]

[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]

t = - 3.0741

Degree of freedom:

df = n - 1

df = 35 - 1

df = 34

Level of significance = 1 - C.I

= 1 - 0.99

= 0.01

The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:

[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]

Decision rule: To reject [tex]H_o[/tex] if  [tex]t< -2.728 \ or \ t > 2.728[/tex]

As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]

Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.

You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.

There is enough evidence that the machine should be stopped and production wait for repairs.

Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.

Let the population mean be denoted by [tex]\mu[/tex]

Forming hypotheses:

Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)

Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)

Using t test:

[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]

Degree of freedom = sample size - 1 = 34

Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]

From t tables we have:

[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)

Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.

Thus, there is enough evidence that the machine should be stopped and production wait for repairs.

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Convert 45°C to Fahrenheit.

Answers

Answer:

113 degrees Fahrenheit

Step-by-step explanation:

113°, Bc I used a temperature calculator

Pls Help meh!! I have more Questions based on math coming up in a few seconds Juss pls give meh the best answer

Answers

Answer:

27!!! I did the test you just have to divide

Answer:

Step-by-step explanation:

35 + 25h=45 what does it equal

m&D = 65; m&C = 45; m&F = 55; m_H = 60; .
Find the measure of XE and &G.
Determine if ACDE - AFGH

Answers

That is hard i wish you luce

help- which of the following functions will produce the graph

Answers

Answer:

B

Step-by-step explanation:

y= -24/x²+8

y-int ( 0,-3

if i’m not wrong, i believe it’s b

10(4-7) What is the value of =(4-1) ?
-10
- 6
6
10​

Answers

answer 10

This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n

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a
n
=
a
1
+
d
(
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Substitute in the values of
a
1
=
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a
1
=
1
and
d
=
3
d
=
3
.
a
n
=
1
+
(
3
)
(
n

1
)
a
n
=
1
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(
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Simplify each term.
a
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=
1
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3
n

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Subtract
3
3
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a
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2

Think about using decimal models to show 6.84. If you only used tenths what place would you not be able to model? How many tenths would you use to model the other two places?

Answers

Step-by-step explanation:

plase see it i work by paper worksheet

I need help urgently! Will mark the brainliest

Answers

Answer: 100

Step-by-step explanation:

4(5)^5

4 x 5^5

4 x 25

100

Which expressions are equivalent to 4• (7 • y)?

Drag and drop the equivalent expressions into the box.

(7• y)• 4

4 • 7 + 4 • Y

(4 7 • y

28 y

4•7•4• y

PLEASE HELP ASAP!!!
50 POINTS AND BRAINLY!!

Answers

Answer:

Step-by-step explanation:

4• (7 • y) is equivalent to all of the following:

28 • y

4 · 7y or (4 · 7) · y

(7 · 4) · y

Note that 4 • 7 + 4 • Y is absolutely wrong, since the original expression has no " + " sign

Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, not simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.

Answers

Answer:

Hello your question has some missing parts below is the missing part

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute  

answer :

dr/dt  depends on r^2  not simply r

Step-by-step explanation:

The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;

dr/dt  depends on r^2  not simply r

and this is because  dr/dt is proportional to  1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant

what is 2 and 1 3rd times 5

Answers

2 1/3 = (mixed # x denominator) + numerator/ denominator

= 2x3+1/ 3= 7/3



7/3 x 5= 35/3= 11 2/3



Answer:

2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

5x2=10

[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]

[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]

10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]

PLEASE HELP ME!!
40 Points!!

Select all factors of the following polynomial:

4p3 + 36p² + 32p

Select all that apply

• 4p
• 4p^2
• (p-1)
• (p+1)
• (p-2)
• (p+2)
• (p-4)
• (p+4)
• (p-8)
• (p+8)

Answers

40+32=72  

THE RESON IT IS SEVENTYTWO IS BECAUSE IT IS 72p^2

Factors of the given polynomial are 4p, (p + 1) and (p + 8).

   Given polynomial in the question,

4p³ + 36p² + 32p

Factorize the polynomial,

4p³ + 36p² + 32p = 4p(p² + 9p + 8)

                            = 4p(p² + 8p + p + 8)

                            = 4p[p(p + 8) + 1(p + 8)]

                            = 4p(p + 1)(p + 8)

    Therefore, 4p, (p + 1) and (p + 8) are the factors of the given polynomial.

Learn more,

https://brainly.com/question/15156417

What is the slope of a line parallel to the line whose equation is 2x-y=-7. Fully reduce your answer

Answers

Answer:

mother answer would be mparellel=2

Answer:

2

Step-by-step explanation:

write a polynomial equation of degree 4 that has the roots of -1 repeated three times and 4.

Answers

Answer:

f (x) = (x+1) 3These three is elevated with the parenthesis ( x- 4)

Step-by-step explanation:

HELP ME PLES I NEED IT

Answers

50 is the answer....

Percentage of 70% of what = 35?

70% × ? = 35

? =

35 ÷ 70% =

35 ÷ (70 ÷ 100) =

(100 × 35) ÷ 70 =

3,500 ÷ 70 =

50

Answer:

The trip is 50 miles

Step-by-step explanation:

30 = (60/100)T

T = (10/6)(30) = (5/3)(30) = 50 miles

HELP it would be greatly appreciated!

Answers

Answer:

The answer would be (D 70 degrees

Step-by-step explanation:

Each triangle is 180 degrees. 180 - 40 equals 140. 140 divided by two equals 70.

Hope this helps ^^✨

Answer:

D: 70°

Step-by-step explanation:

Angles A and B are going to be the same, and the interior angles of a triangle must equal 180°, so D is the correct answer

70 + 70 + 40 = 180

Solve (10b+7b^2-6b^3)-(12b^2-3b^3)

Answers

Answer:

-3b³ - 5b² + 10b

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Expression

(10b + 7b² - 6b³) - (12b² - 3b³)

Step 2: Simplify

Distribute negative:                   10b + 7b² - 6b³ - 12b² + 3b³Combine like terms (b³):            -3b³ + 10b + 7b² - 12b²Combine like terms (b²):            -3b³ - 5b² + 10b

Whoever answers gets brainlist!

Answers

Answer: The Correct Answer is 6 because 16+24 is 40 then minus 10 is 30

16-15 is 1 then plus 4 is 5 then you divide 30 by 5 and get 6

Step-by-step explanation: BRAINLIEST PLS

Answer:

I'm pretty sure its 6.

Step-by-step explanation:

Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?

Answers

Answer:

He can buy 7 packs or 5 packs it depends on how each costs seperately.

Step-by-step explanation:

If each pack costs 5 dollars then he can buy 7.

If each pack costs 7 dollars then he can buy 5.

Which graph represents the function f(x)=2.4?

Answers

Answer:

show the graph then we can fingerite out

Step-by-step explanation:

we will have to see the graph then we can see what we are working with

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