3(5z-7) - 2 (9z-11) = 4 (8z-13) - 17

Answers

Answer 1
Answer Z=2
The math …..
Multiple ( ) first
15z -21 -18z +22 = 32z - 52 -17
Combine like terms
-3z + 1 = 32z -69
Move like terms to isolate Z
-35z = -70 two negative make positive
35z = 70
Divide both sides by 35 to isolate Z
Z = 2
Answer 2
Answer: z = 2

Step-by-Step Explanation:

3(5z - 7) - 2(9z - 11) = 4(8z - 13) - 17
15z - 21 - 2(9z - 11) = 4(8z - 13) - 17
15z - 21 - 18z + 22 = 4(8z - 13) - 17
15z - 21 - 18z + 22 = 32z - 52 - 17
-3z - 21 + 22 = 32z - 52 - 17
-3z - 32z - 21 + 22 = -52 - 17
-35z - 21 + 22 = -52 - 17
-35z - 21 + 22 = -69
-35z + 22 = -69 + 21
-35z + 22 = -48
-35z = -48 - 22
-35z = -70
35z = 70
z = 70/35
=> z = 2

Hence, z = 2

Related Questions

Ajar has 20 marvels three green 12 blue five real what is the probability of randomly choosing a red and then a green marble

Answers

The answer is 3 I work it out

Solve this problem, and identify the percent, amount, and base. What percent 60 of 15 is ?

Answers

Answer:

Step-by-step explanation:

'

2007 Federal Income Tax Table Single: Over But not over The tax is $0 $7,825 10% of the amount over $0 $7,825 $31,850 $788 + 15% of the amount over $7,825 $31,850 $77,100 $4,386 + 25% of the amount over $31,850 $77,100 $160,850 $15,699 + 28% of the amount over $77,100 $160,850 $349,700 $39,149 + 33% of the amount over $160,850 $349,700 And Over $101,469 + 35% of the amount over $349,700 Aaron Priest had a taxable income of $165,000. He figured his tax from the single taxpayer table above. 1. Find his earned income level. 2. Entered the base amount. = $ 3. Found the amount over $ = $ 4. Multiplied line 3 by % = $ 5. Added Lines 2 and 4 = $ 6. Computed his monthly withholding would be = $

Answers

Answer:

$160850

Step-by-step explanation:

Choose the correct answer below:

A- A rate is just a different name for a ratio. The terms are interchangeable
B-a rate refers to the reduced form of a ratio
C-rates are a special type of ratio that always have a 1 in the denominator
D- rates are a special type of ratio used to compare different kinds of quantities

Answers

Answer:

C

Step-by-step explanation:

The answer would have to be C cus it can't be A or D

84102 - 1052=?


pasagot po pls with solution ​

Answers

Answer:

83050

Step-by-step explanation:

that's the answer to the question

Can someone help me with this problem?

Answers

The volume of the fourth doll based on the information given will be 549cm³.

How to calculate the volume?

The formula to use will be:

= πr²h

where,

Volume = 8cm³

Diameter = 2.1

Radius = 2.1/2 = 1.05cm

Therefore, 8 = (3.14 × 1.05² × h)

h = 8/(3.14 × 1.05²)

h = 2.31 cm.

The scale factor used is:

= 3.36/2.1

= 1.6

Therefore, the diameter of the fourth doll will be:

= 2.1 × 1.6³

= 8.6

Radius will be:

= 8.6/2 = 4.3.

The height of the fourth doll will be:

= 2.31 × 1.6³

= 9.46

The volume of the fourth doll will be:

= 3.14 × 4.3² × 9.46

= 549cm³

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A bag contains 100 marbles which are red, green, and blue.
Suppose a student randomly selects a marble without looking,
records the color, and then places the marble back in the bag.
The student has recorded 7 red marbles, 2 green marbles and
11 blue marbles. Predict how many blue marbles are in the
bag.
Voir can earn 5 coins

Answers

Answer:

Step-by-step explanation:

Remark

The ratio you would use is 7 to 2 to 11

The question is what you you have to multiply these ratios by so the products when added come to 100?

Equation

7*x + 2*x + 11*x = 100        Combine the terms on the left

Solution

20x = 100                           Divide both sides by 20

20x/20  = 100/20              

x = 5

Red: 7 * 5 =    35Green: 2 * 5 = 10Blue: 11*5 =     55Total               100

Answer: 55 blue marbles were in the bag.

Answer: 2

Step-by-step explanation:

Trey deposits 5000 into an account that pays simple interest at an annual rate of 2%. he does not make any more deposits. he makes no withdrawals until the end of 6 years when he withdraws all the money

Answers

The simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

How to calculate simple interest?

Principal = 5,000

Rate = 2%

= 2/100

= 0.02

Time = 6 years

Simple interest = principal × rate × time

= 5000 × 0.02 × 6

= 600

Therefore, the simple interest Trey earns if he makes no additional deposit or withdrawal for a period of 6 years is 600

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Which expression is equivalent to the following complex fractions

1-(1/x)/2
Not D

Answers

The expression that is equivalent to complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

To answer the question, we need to know what fractions are

What are fractions?

Fractions are rational numbers written in the form a/b where

a and b are integers and b > 0.

where

a is called the numerator and b the denominator.Expression similar to complex fraction

To find the expression similar to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex], we simplify the fraction.

So,  [tex]\frac{1 - \frac{1}{x}}{2}[/tex]

Taking L.C.M of x in the numerator, we have

[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\[/tex]

Simplifying, we have

[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\= {\frac{x - 1}{2x}}[/tex]

So, the expression that is equivalent to the complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

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2. Which statement about like terms is true?
O All equations have like terms.
Only equations with the variable x have like terms.
O Some equations do not have like terms.
O No equations have like terms.

Answers

Answer:

All equations have like terms

Consider this function.

please help!

Answers

the answer is W
feel free to ask me if you didn't understand a part

Which is the equation of the parabola with focus (6, 2) and vertex (6, –4)?

Answers

Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).

How to determine the equation of this parabola?

Mathematically, the standard equation with the vertex for a parabola is given by:

(y - k)² = 4a(x - h) for horizontal parabola.

(x - h)² = 4a(y - k) for vertical parabola.

where:

h and k are the vertex.a is a point.

By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.

Given the following data:

Focus with points = (6, 2).

Vertex (h, k) = (6, –4).

Note: a = 2 - (-4) = 2 + 4 = 6.

Substituting the given parameters into the formula, we have;

(x - 6)² = 4 × 4(y - (-4))

(x - 6)² = 16(y + 4).

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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before​ treatment, 16 subjects had a mean wake time of 100.0 min. After​ treatment, the 16 subjects had a mean wake time of 75.5 min and a standard deviation of 24.2 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 95​% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 100.0 min before the​ treatment? Does the drug appear to be​ effective?

Construct the 95​% confidence interval estimate of the mean wake time for a population with the treatment.

Answers

The 95​% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).

Given the following data:

Mean wake time = 75.5 min.Standard deviation = 24.2 min. Number of sample, n = 16.

How to construct a 95​% confidence interval?

Mathematically, a confidence interval of 95% is given by;

α = 1 - 0.95

α = 0.05.

α/2 = 0.05/2 = 0.025.

Also, the degrees of freedom (df) is given by:

Degrees of freedom (df) = n - 1

Degrees of freedom (df) = 16 - 1

Degrees of freedom (df) = 15.

From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.

Mathematically, the confidence interval for mean is given by:

Mean ± (t-critical × (standard deviation/√(sample size)))

75.5 ± (2.131 × (24.2/√(16))

75.5 ± (2.131 × 6.05)

For the upper end, we have:

75.5 + 12.89 = 88.39

For the lower end, we have:

75.5 - 12.89 = 62.61.

In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.

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Can 3×2×2×3 be written as a power with an exponent of 4? Explain your thinking.​

Answers

No, because when you write a number that has a power that means the number is multiplied by itself. So, 3^4=81 whereas 3x2x2x3=36.

Which shapes have the same volume at the given rectangular priam?
Som
base area-50 or
15 on
D
base area-50 cm
Son
base area-50 cm²
24 cm
base area- 50 cm
18 cm
4+-+-
base area-50 cm

Answers

Answer:

Cylinder

Step-by-step explanation:

Area of rectangular prism = base area * height

                                           = 50 * 5

                                           = 250 square cm

Area of cylinder = base area * height

                          = 50 * 5

                           = 250 square cm

Use the function below to find F(-2).
F(x) = 3x

A 1/6
B -9
C -6
D 1/9

Answers

Answer:

-6

Step-by-step explanation:

we can put the value of x as -2 cause f(-2) we can substitute the value...

f(-2)= 3*-2

-6


please please help needs to be submitted in 15 minutes!!!

Answers

Answer:

Volume of prism 1: 104 cubic inches

Surface area of prism 2: 650 square inches

Step-by-step explanation:

To find the volume of prism 1, set up a proportion using the side lengths and the volume of prism 2.

The ratio of the side lengths will be your scale factor. When finding volume using scale factor, you need to cube the scale factor. The numerator in the proportion are from prism 1 and the denominator is prism 2. Prism 1 is the numerator since it is the new image and we are solving for it's volume.

[tex](\frac {4}{10}) ^{3} =\frac{x}{1625} \\\\\frac{64}{1000} =\frac{x}{1625} \\\\[/tex]

[tex]1000x=104000\\\frac{1000x}{1000} =\frac{104000}{1000} \\x = 104[/tex]

To find the surface area of Prism 2, we are going to setup another proportion, but this time we are going to square the scale factor since we are finding area. Prism 2 will be the numerator and prism 1 will be the denominator.

[tex](\frac{10}{4} )^2 = \frac{x}{104} \\\frac{100}{16} =\frac{x}{104} \\16x=10400\\\frac{16x}{16}=\frac{10400}{16}\\ x= 650[/tex]

Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200 ? 250 ? 300 ?

Answers

Going by the standard Helium Cylinder/Balloon Chart, the amount of pressure she will require to fill 90 balloons is 300 per squared inch (PSI.)

How much pressure will each balloon take at 300 psi total?

To get this amount, we simply divide the number of balloons with the total amount of PSI.

Thus:

90/300

= 0.3psi each.

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Answer: 300?

Step-by-step explanation:

tell me if i am wrong

Find the area of a regular polygon with 8 sides that has a perimeter of 96 inches and an apothem of 5 inches.


Area = [?]in2

Answers

Answer:

see the attachment photo!

6x^2 + 2x-20/ 4x-2 simplify

Answers

Answer:

6x^2-3x-2

Step-by-step explanation:

6x^2 + 2x - 20 / 4 x x - 2

6x^2 + 2x - 5x - 2

6x^2 -3x - 2

factor this polynomial completely x2 - x - 20

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)

Answer:

(x +5) (x -4)

Step-by-step explanation:

Factors of 20:

1,20

2,10

4,5

4 and 5 combine to create 1

+5 -4 = 1

(x +5) (x -4)

The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made when solving for the current temperature

Answers

78! is the answer to this question! trust! -6

Seven x's and 3y's cost as much as 4z's. One z costs as much as 1x plus 1y together. How many x's cost as much as 1y?

Answers

Answer:

Step-by-step explanation:

Equations

7x + 3y = 4z

Second equation

x + y = z                          Multiply the entire equation by 4

4[x + y = z]                      Now distribute the 4 through the equation

4x + 4y = 4z                    Both equations = 4z. Equate the lefts.

Third equation  

7x+3y = 4x + 4y              Subtract 3y from both sides

7x + 3y -3y = 4x + 4y -3y

7x = y + 4x                      Subtract 4x from both sides

7x - 4x = y + 4x - 4x       Combine

3x = y

Answer: 3x = y

Nadia has a handful of coins all of which are either dimes or quarters she has a total of 23 coins in her hand and a total of $3.65 worth of coins let D equal the number of dimes Nadia has and like Q represent the number of quarters she has. Must model the solution and show work.

Answers

Nadia cannot have 18 dimes and 5 quarters.

The equations that represent the question are:

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

The number of dimes is 14 and the number of quarters is 9.

Can Nadia have 18 dimes and 5 quarters?

The equation that represents the total amount of money she has is: 0.1d + 0.25q = 3.65

0.1(18) + 0.25(5) = 3.05

$3.05 is less than 3.65

What are the system of equations that models the situation?

D + Q = 23 equation 1

0.1d + 0.25q = 3.65  equation 2

What is the solution to the equation?

Given the above equations, multiply equation 1 by 0.1

0.1d + 0.1q = 2.3 equation 3

Subtract equation 3 from 2

0.15q = 1.35

Divide both sides by 0.15

q = 1.35 / 0.15

q = 9

To determine the value of d, subtract 9 from 23 : 23 - 9 = 14

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Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2. 90 –18 –45 63

Answers

The value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

How to evaluate the expression?

The expression is given as:

5x – 2y + (7x – y)

Substitute x = 7 and y = –2 in the above expression

5 * 7 - 2 * -2 + (7 * 7 + 2)

Evaluate the expression

90

Hence, the value of the expression 5x – 2y + (7x – y)  when x = 7 and y = -2 is 90

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Theo's friend made a display with dimensions that were each half as long as those theo used. what is the approximate mass of theo's friends display

Answers

Answer:

great question buddy and I wish you the most

Step-by-step explanation:

x-y=b^2/2=2

A. 56
B. 154
C. 210
D. 252

Answers

2(4+3)²-14(3)2(7)²-422(49)-4298-42.56

Option A

Today only a table is being sold for $364.89. This is 38% of its regular price. What was the price yesterday

Answers

Answer:

$960.24

Step-by-step explanation:

Hello!

Let the regular price be x.

38% of x = 0.38x

0.38x = 364.89

Solve for x0.38x = 364.89x = 364.89/0.38x = 960.2368421053 ≈ 960.24

The price of the table yesterday was around $960.24.

Lines AB and CD are parallel. The coordinates of point A are (-2,5), the coordinates of point B are (6,3), and the coordinates of point D are (8,5).
The equation of line CD is y =

Answers

Equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].

What are parallel lines?

" Parallel lines are defined as the lines in the same plane never intersect with each other. They are equidistant to each other in the same plane."

Formula used

[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Coordinates of A [tex](x_{1},y_{1})[/tex] = ( -2 , 5)

Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 6 , 3)

Substitute the value to get the slope of line AB we get,

[tex]Slope of line AB 'm_{1}' =\frac{3-5}{6-(-2)}[/tex]

                    ⇒ [tex]m_{1} = \frac{-2}{8}[/tex]          

                              [tex]= \frac{-1}{4}[/tex]

Coordinates of C [tex](x_{1},y_{1})[/tex] = ( x ,y)

Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 8,5)

Substitute the value to get the slope of line CD we get,

[tex]Slope of line CD 'm_{2}' =\frac{5-y}{8-x}[/tex]

Lines AB and CD are parallel.

Slope of parallel lines are equal.

Therefore,

                     [tex]m_{2} = m_{1}[/tex]          

                 ⇒ [tex]\frac{5-y}{8-x}[/tex] [tex]= \frac{-1}{4}[/tex]

                ⇒[tex]5-y = \frac{-1}{4} (8-x)[/tex]

                ⇒ [tex]y = \frac{-x}{4} +7[/tex]

Hence, equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].

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EASY POINTS
Which answer represents the following conditional statement in shorthand?

Answers

Answer:

B

Step-by-step explanation:

if it is warm the Megan is swimming

the correct answer is D
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A is the amount you pay for the purchase of a house that decreases the amount of the loan.-closing payment-closing cost-origination payment-down payment Read the excerpt from the play The King of Sharks:Scene 4Fishermen and other villagers are crowded around the pool outside the princess's house. The princess and her son stand in front of them.Princess: It is time for my son to join his father in the ocean.Prince: I'm very sorry for all the trouble I've caused.Villagers: Back to the ocean with you!Prince: I promise to never take more than my share of the fish again.Prince hugs his mother goodbye and wraps the cloak around his shoulders. He jumps into the pool and swims down so deep that no one can see him. Far off, out in the ocean, a huge shark fin can be seen bobbing above the water. 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He fished and he fished, but his line came up empty more times than it ever had before. He flew to Heron's house."Heron! Heron!" he called. "Why have you eaten all the fish?"Heron bustled to her door, angry and surprised at her friend's accusation."Me? Eat all the fish?" she squawked. "I barely caught anything this morning! My poor stomach has been growling all day."The two birds began to argue over who had eaten more fish. Finally, Hummingbird raised his wing to stop the debate."I do not think there are enough fish left in the river for both of us," he said. "Let's have a race. Whoever reaches the dead tree on the other side of the hills first owns all the fish. The loser has to find something else to eat."In both mythical texts, a feeling of community is broken. 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