Solve for x. Show each step of the solution 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24)​

Answers

Answer 1

Answer:

X=-10

Step-by-step explanation:

Answer 2

Answer:

x = -10

Step-by-step explanation:

4.5(8-x) + 36 = 102 - 2.5(3x+24)

36 - 4.5x + 36 = 102 - 7.5x - 60

72 - 4.5x = 42 - 7.5x

72 + 3x = 42

3x = -30

x = -10


Related Questions

In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight

Answers

Answer:

Given:

Total women -  189

Smokers - 74

Non-smokers - 115

The difference in 2 samples mean birth weight = 281.7 grams

95% confident that the mean weight = between 76.5 grams to 486.9  

solution:

The best interpretation would be -

95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.

PLEASE HELP, QUESTIONS 4 AND 5 ARE RELATES TO 2 AND 3

Answers

Answer:

4. 180

5. PQ

Step-by-step explanation:

the student council is selling a dozen donuts for $15. what is the unit cost?

Answers

Answer:

$1.25

Step-by-step explanation:

15 divided by a dozen (12) is 1.25

Have a great day!

Answer:

$1.25.

Step-by-step explanation:

15/12 = $1.25

Need help with this right now, please.

Answers

Answer:

see below

Step-by-step explanation:

the circumference of a circle is

[tex]2\pi r[/tex]

in our problem

r=11

[tex]C=2\pi (11)\\\\=22\pi[/tex]

rounded to the nearest tenth

[tex]C\approx69.1[/tex]

the area of a circle is

[tex]\pi r^2[/tex]

so the area is

[tex]A=\pi(11)^2\\\\=121\pi[/tex]

rounded to nearest tenth

[tex]A\approx 380.1[/tex]

The answer above you is right

1. The sum of the angle measures in a triangle is 180°. Two angles of a triangle measure 20° and 50°. What is the measure of the third angle?

Answers

Dude cmon. Just add 20 and 50 to get 70. Then do 180-70 = 110. 4th grade math

Help help help help help!!!!!

Answers

Answer:

6) 130

7) x = 35

8) y = 100

9) 50

10) 130

11) DEF = 29

12) FEG = 61

13) DEF = 91

14) FEG = 89

Step-by-step explanation:

6)

angle AEB is 50°

supplementary is when 2 angles add together to make 180°

50 + x = 180

x = 180 - 50

x = 130

7)

angles AEB and DEC are vertical angles

vertical angles are equal.

50 = x + 15

50 - 15 = x

35 = x

8)

AEB and AED are supplementary angles

supplementary angles add together to make 180

50 + (y + 30) = 180

y + 30 = 180 - 50

y + 30 = 130

y = 130 - 30

y = 100

9)

DEC is vertical to AEB

vertical angles are equal.

AEB = 50

DEC = 50

10)

AED = y + 30

as established earlier, y = 100

substitute Y for 100

AED = 100 + 30

AED = 130

11 & 12)

DEF and FEG are complimentary.

complimentary means they add together to make 90

(3x - 4 ) + (5x + 6 ) = 90

3x - 4 + 5x + 6 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88

x = 88/8

x = 11

substitute x into the equations

DEF = 3x - 4

DEF = 33 - 4

DEF = 29

FEG = 5x + 6

FEG = 55 + 6

FEG = 61

13 & 14)

DEF and FEG are supplementary.

supplementary means they add together to make 180

(9x + 1) + (8x + 9) = 180

9x + 8x + 1 + 9 = 180

17x + 10 = 180

17x = 170

x = 10

substitute x into the equations

DEF =  9x + 1

DEF = 90 + 1

DEF = 91

FEG = 8x + 9

FEG = 80 + 9

FEG = 89

If I got something wrong please let me know!

Find the set of the solutions for each of the following Absolute Value Inequalities. Check your answers.

**EXPLANATION NEEDED! THANK YOU!**

Answers

Answer:

There are NO solutions

Step-by-step explanation:

On the left hand side, we have an absolute value;

which means that the left hand side will always be greater than or equal to 0

On the right hand side, we have a negative value;

Since the LHS can NEVER be negative, it will never be less than a negative number

Hence, No value of y can make this equation true

HELP NEEDED MATHS PLEASE!!!

Answers

Answer:

f(3)= 3+1

=4

gf(3) is attached.

the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per hour?

Answers

Answer:

Step-by-step explanation:

800

Answer:

oh we late

Step-by-step explanation:

Let ​f(x)=x2−16 and ​g(x)=15−x. Perform the composition or operation indicated.
​(fg)(7​)

Answers

Answer:

[tex](2x - 16)(15 - x) \\ (2(7) - 16)(15 - 7) \\ (14 - 16)(8) \\ ( - 2)(8) \\ = - 16[/tex]

if there ar 10 people in the bus
and 5 get off
and 40 more come in
total people in the bus can be only 30
is the number people in bus more than toatal people or less

Answers

Answer:

no there are more people than total people

Step-by-step explanation:

10 - 5 + 40 = 45

45 is frater than 30

hence there are more people than total

Please help, I’m very confused !

Answers

The domain is the x values that make the function defined. We can see the entire shaded region starts at x = 0 and goes on to infinity. The lines are solid and not dotted, which indicates 0 is included. That’s why answer D has a bracket in-front of zero

Option 4

The office manager for Better Health Medical Practice asks one of the medical assistants to help with digital thermometer inventory in the six examination
rooms. Starting with room 1, the inventory shows: 2, 4, 2,5.3, 1. What is the total inventory of thermometers?

Answers

Answer:

is this a trick question cause how can you have 5.3 thermometers?

The total inventory of the inventory shows 2, 4, 2,5,3, and 1 will be 17.

What is summation?

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.

In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

Given the inventory 2, 4, 2,5,3,1 if we add this inventory to the total then it will come out to be

2+ 4+ 2+5+3+1 =17 hence 17 will be the correct answer.

For more information about summation

https://brainly.com/question/10777222

#SPJ2

Find the slope of the line that passes through (7,5) and (1,2)

Answers

1ididbsjshdisjsbsksndkdndd
the slope is 0.5 or 1/2

Maddie loves bananas! So, Maddie bought 15 boxes of bananas. In each box of bananas, there are 32 bananas. How many total bananas did Maddie buy?​

Answers

Answer:

480

Step-by-step explanation:

In each box there is 32. Well, we know there is 15 boxes, so we multiply 32 and 15 to get 480.

She bought 480 total bananas :D

Answer:

She would've eaten 480 bananas

Step-by-step explanation:

What is the interquartile range of the following data set?
37, 27, 48, 96, 61, 84, 29, 1, 72, 5, 34
A. 64
B. 37
C. 10
D. 45

Answers

Answer:

The answer is D, 45.

Step-by-step explanation:

How to find the Interquartile Range

Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The interquartile range is the difference between the upper and lower medians.

After doing that, write out your list, and and subtract the medians to get 45.

Answer:

D

Step-by-step explanation:

The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.

Answers

Answer:

5.31

Step-by-step explanation:

Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,

x = number of slices of pizza eaten

y = number of laps run immediately

Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:

[tex] y = 10 - 0.67x [/tex]

[tex] y = 10 - 0.67(7) [/tex]

[tex] y = 10 - 4.69 [/tex]

[tex] y = 5.31 [/tex]

The length of a rectangle is
5 inches more than 4 times the width. The perimeter is 60 inches. Find the length and the width.

Answers

Answer:

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RMT

t

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Is this nonlinear?













S

Answers

Answer: it seems to be Liner

Step-by-step explanation:

Has a Constant rate

Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? explain your reasoning​

Answers

9514 1404 393

Answer:

  Jesse

Step-by-step explanation:

Jesse's distance in 60 seconds would be ...

  (60 s)(15 m)/(6 s) = 150 m

Peyton's distance in 60 seconds would be ...

  (60 s)(22 m)/(10 s) = 132 m

Jesse travels farther in the same amount of time, so Jesse is moving faster.

__

You might find it simpler just to compute the rate of each.

  Jesse: (15 m)/(6 s) = 2.5 m/s

  Peyton: (22 m)/(10 s) = 2.2 m/s

Jesse's speed is higher.

Divide: r^2/r^12 A. r^10 B. 1/r^6 C. 1/r^8 D. r^8 E. r^6

Answers

Answer:

A. r^10

Step-by-step explanation:

r^2/r^12

1/r^-10

r^10

It cost $20 to park at the concert hall plus concert tickets are $60 each. How much will 6 tickets cost with parking one vehicle the. What would be the independent and dependent variables please

Answers

$380 and i’m not sure about the other parts sorry

A bird goes from a higher location to a lower location at a
rate of 3 meters per second.
Which equation models the change in the bird's position at 120 seconds?

Answers

Answer:

The answer is 120(-3)= -360

Step-by-step explanation:

Apex Learning!

So the answer is the NEGATIVE 360!!

Answer:

120(-3)=-360

Step-by-step explanation:

Functions and their Properties

Practice
Need help​

Answers

Answer:

[tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]  → (a)

Step-by-step explanation:

We need to evaluate g(n - 7), where

[tex]g(x)=\frac{x^{2}-7}{7x}[/tex]

Replace x by (n - 7) to evaluate it

x = (n - 7)

∴ [tex]g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}[/tex]

→ Let us find (n - 7)²

∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)

∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49

(n - 7)² = n² - 14n + 49

→ Find 7(n - 7)

∵ 7(n - 7) = 7(n) - 7(7)

7(n - 7) = 7n - 49

→ Now let us write then in the form above

∵ [tex]g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}[/tex]

→ Add the like terms in the numerator

∴  [tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]

The correct answer is (a)

A rod with the density sigma(x) = 3 + sin(x) lies on the x-axis between x=0 and x = 3pi/4 find the center of mass of the rod

Answers

Answer:

10.7 grams

Step-by-step explanation:

hey there, again!

this is a similar process the mass is denisty*area HOWEVER keep in mind it's flat so the area is just x deltax while denisity is 3 + sin(x)

mass of rod = integral 0 to 3pi/4 of (3 + sin(x))*x deltax

= integral 0 to 3pi/4 of 3x + xsin(x) deltax

= 0 to 3pi/4 [3/2*x^2 + x(-cos(x)) + sin(x)]

= 10.7 grams

How can I solve 7y + (-5y)

Answers

It’s just addition 2y is the answer

Answer: 2y

Step-by-step explanation:

Adding a negative number is the same as subtracting by that number. In this case,

7y + (-5y)

is equal to

7y - 5y

Show that (3m+4n)2 –48mn= (3m-4n)2

Answers

Answer:

Please see the attached picture.

help help helplgehiog

Answers

Answer:

23

Step-by-step explanation:

117 - 94 should be the correct answer

If you answer this thanksssssss

Answers

Answer:

A. 6.95+8t=24.95;t=2.25

Step-by-step explanation:

24.95 minus 6.95 of the canvas equals 18 dollars left for the 8 tubes of paint, but then you have to figure out how much money for each which would equal 18 divided by 8, and that equals 2.25 dollars.

Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?

Answers

Answer:

(y, -x -6)

Step-by-step explanation:

The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)

The first transformation: 6 units right

[tex](x,y) -> (x + b, y)[/tex]

Where b = 6

So, the new coordinates will be

[tex](x + 6, y)[/tex]

The second transformation: 90° clockwise

[tex](x,y) -> (y,-x)[/tex]

So, the new coordinates will be

[tex](x + 6, y)-> (y, -x -6)[/tex]

Hence, the new coordinates of PQRS is (y, -x - 6)

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