Solve the equation for x. Show each step of the solution for full credit. (3 points - 2 points showing work, 1 point correct answer)

3.5(x +2) = 17

Answers

Answer 1

Answer:2.86

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x =17 - 7

3.5x =10

x = 10/3.5

x = 2.86


Related Questions

if 269 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? round your answer to four decimal places.

Answers

The probability will be 0.9940.

The provided parameters are

p = 0.05  (the true proportion or the mean )

n = 269   ( sample size )

we can calculate standard deviation as follows

σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

σ = 0.0132

Now the values that 'x' can take are

x = [tex]x_{1}[/tex] ±  [tex]x_{2}[/tex]

x = 0.05 + 0.03, 0.05 - 0.03

x = 0.08 , 0.02

Also the z-score is

z = (x - μ)/σ

z = [tex]\frac{0.08-0.05}{0.0132}[/tex]  , [tex]\frac{0.02-0.05}{0.0132}[/tex]

z = 2.27 , -2.27

we now find the p-values for the z-scores

p values are = 0.9970 , 0.0030

The difference in these values will give the probability

∴ P = 0.9970 - 0.0030

P =  0.9940

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Write the equation of the line that passes through the points (−3,−5) and (−2,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

-5-4=1/5(-2-3) Is the answer:

So always keep in mind the formula for point-slope form.
Y-y1=m(x-x1)

So take the two numbers in the y points so in this problem would be -5 and -4.

Next, you would put it in the equation so far we have -5-4

Then, find the slope rise over run or I use vertical over across so count the y difference because it’s vertical so -5-4 is -1 so then is across which is -2-3 which is -5 so a negative divided by a negative is positive so positive 1/5 is the slope.

Last you plug in the x values in the equation

Hope this helps!!

This square based pyramid
30 cm
is cut horizontally at a height of 15 cm
to leave this frustum
R
15 cm
10 cm
1 xarea of base x perpendicular height
Vol = x
10 cm
Calculate the volume of the frustum.

Answers

Answer:

  875 cm³

Step-by-step explanation:

You want the volume of the 15 cm high frustum of a 30 cm high pyramid with a 10 cm square base.

Pyramid volume

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

Where B is the area of the base:

  B = s²

For the given pyramid, the volume is ...

  V = 1/3(10 cm)²(30 cm) = 1000 cm³

Frustum volume

The volume of the frustum is the volume of the whole pyramid, less the volume of the part that is cut off. The part that is cut off has dimensions that are 1/2 of those of the whole pyramid, so its volume is ...

  V = (1/2)³ × (1000 cm³) = 125 cm³

Then the volume of the remaining frustum is ...

  1000 cm³ -125 cm³ = 875 cm³

The volume of the frustum is 875 cm³.

__

Additional comment

The volume can also be calculated from the areas of the two bases of the frustum and its height.

  V = (1/3)(B₁ +B₂ +√(B₁B₂))h

The top base is 5 cm square, so this evaluates to ...

  V = (1/3)(100 cm² +25 cm² +√(100·25) cm²)(15 cm) = 1/3(175 cm²)(15 cm)

  V = 875 cm³

A store received shipment of 37 tvs valuad at 625 each what is the total value. Of the shipment

Answers

A store received shipment of 37 tvs valued at 625 each what is the total value of the shipment?

37 * $625 = $23,125

a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 8% margin of error at a 90% confidence level, what size of sample is needed? give your answer in whole people.

Answers

For the specified requirements, 105 sample size are required.

Given that,

Confidence Interval = 90

Margin of error (m) =0.08

We know , to find Sample size for  estimating a population proportion

n = (Z*/m)² P(1-P)

where , m is margin of error

             P is estimated proportional value.

If we have no preconceived of the value of the population proportion

, then we use P= 0.50 because it is most conservative and it will give use the largest sample size calculation.

for a 90% confidence interval ,

Z* = 1.645 , m=0.08

Using equation we get

n = (1.645/0.08)²(0.5)( 1 - 0.5 )

By solving,

n =105.3 = 105

The necessary sample size is 105

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Expand and Simplify (x+5)(x-2)

Answers

Answer:

[tex]x^2+3x-10[/tex]

Step-by-step explanation:

To expand you must do this:

[tex]x*x+(-2x)+(5x)-10\\x^2-2x+5x-10\\x^2+3x-10[/tex]

Which of the following represents an equation in standard form for the line that passes through (3, -1) and (-5, -3).
O A y-tx-1
OB 7x-4y = 1
OC. x - 4y = 7
D 4x-y=7

Answers

Answer:

Step-by-step explanation:

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

What is Slope intercept form?

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

i need help also i don't know what to do with x. 3(4x-12) = 84

Answers

Answer:

x=10

Step-by-step explanation:

3(4x-12)=84

12x-36=84

   +36. +36

12x=120

/12.  /12

x=10

Hopes this helps please mark brainliest

Find the length and the width.

Answers

Answer:

Length would be 6ft

Width would be 4ft

Step-by-step explanation:

24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.

the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 1600 voters in the town and found that 34% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 31%. find the value of the test statistic. round your answer to two decimal places.

Answers

The value of the test statistic is 2.59.

What is Test Statistics?

A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data fit the distribution predicted by the statistical test's null hypothesis.

Here, the percentage of residents favored construction is 34%.

[tex]p\leq 0.31\\p > 0.31[/tex]

The test statistics is given by,

[tex]Z=P-\frac{p}{\sqrt{p(1-p)n} }[/tex]

Here n=1600, P=0.34 and p=0.31,

Putting the values,

[tex]Z=0.34-\frac{0.31}{\sqrt{0.31(1-0.31)1600} }\\=2.59[/tex]

Test Statistics = 2.59

Therefore, the value of test statistics is 2.59.

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Slope:
Y-intercept
Equation:

Answers

y-intercept: (0,60)

This is given in the table.

Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Using (1,50) and (2,40):

   [tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]

The slope is -10.

Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:

   y = -10x + 60

the probability of serena serving an ace n tennis is 0.15, and the probability that she double faults is 0.25. what is the probability that serena does not serve an ace or a double fault?

Answers

The probability that Serena does not serve an ace or a double fault is 0.63..

Addition rule of probability applies to the calculation of probability for one or another event happen. These events are either mutually exclusive or not .

We have following information,

The probability of Serena serving an ace in tennis (p) = 0.15

Probability that she double faults(q) = 0.25

The probability of Serena not serving an ace in tennis = 1 -p = 1 - 0.15 = 0.85

let A and B be two events Serena not serving an ace and she double faults respectively.

Events A and B are not mutually exclusive events .

i.e, P(A ∩ B ) =/ 0

when Serna not serving an ace implies that either it is double faults or not and both have equally likely chance.

So, the probability of intersection of event A and B = 0.85/2 = 0.47

Adding Rule for probabilities is

P(A or B ) = P(A) + P(B) - P(A ∩ B)

The probability that Serena does not serve an ace or a double fault = 0.85 + 0.25 - 0.47

= 1.10 - 0.47 = 0.63...

Hence, the probability that Serena does not serve an ace or double fault is 0.63..

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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Dimensions of the area enclosed is l = 800 ,b = 800 and the maximum area = 6,40,000 square yards.

Given:

Liana has 3200 yards of fencing to enclose a rectangular area.

Let l and b be the length and breadth.

we know that:

perimeter of rectangle = 2(l+b)

2l + 2b = 3200

l+b = 1600

b = 1600 - l

Area of rectangle A = lb

= l*1600-l

= 1600 l - l^2

Apply derivative:

dA/dl = 1600 - 2l

1600 - 2l = 0

1600 = 2l

l = 1600/2

l = 800

l+b = 1600

b = 1600 - 800

= 800

Area = 800*800

= 6,40,000

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sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1

Answers

Answer:

sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1

This would be a depiction of what the graph should look like

Solve for X please!!!!!!!!!!!!! I need this answer ASAP

2x + 1/3x = 21

Answers

x = 9

We know:

we can add/subtract the same expression to both sides of the equation to get an equivalent equation;we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.

Equivalent equations are algebraic equations that have identical solutions.

We have the equation:

[tex]2x+\dfrac{1}{3}x=21[/tex]

SOLUTION:

multiply bot sides by 3

[tex]3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63[/tex]

divide both sides by 7

[tex]\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}[/tex]

Answer:

x = 9

Step-by-step explanation:

Given equation,

→ 2x + (1/3)x = 21

Now the value of x will be,

→ 2x + (1/3)x = 21

→ (6/3)x + (1/3)x = 21

→ (7/3)x = 21

→ 7x = 21 × 3

→ 7x = 63

→ x = 63/7

→ [ x = 9 ]

Hence, the value of x is 9.

Headphones were bought for $44. Coupon code got 20% off then a 5% processing fee was after the discount. How much was the processing fee?

Answers

The processing fee was = $36.96

what is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

let the price of headphones be= x

44*20/100=8.844-8.8=35.235.2*5/100=1.7635.2+1.76= 36.96

Hence,The processing fee was = $36.96

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16 divided by the sum of 2 and 6

Answers

Answer:

Step-by-step explanation:

16/(2+6)

16/8=2

Suppose loga(2) = b and loga(3) = c. Compute loga(108/a^3)

Answers

In accordance with algebra properties and relationship between logarithms and powers, the logarithm ㏒ₐ (108 / a³) is equal to the pseudolinear expression 2 · b + 3 · c - 3.

How to solve a logarithmic expression

In this problem we must determine the base of a given set of logarithms by using algebra properties and relationships between powers and logarithms. Now we proceed to solve:

Step 1 - We get the following equations:

㏒ₐ 2 = b, ㏒ₐ 3 = c  

Step 2 - Now we add the other logarithm:

㏒ₐ (108 / a³)

Step 3 - By logarithm properties:

㏒ₐ 108 - ㏒ₐ a³

㏒ₐ (2² · 3³) - 3 · ㏒ₐ a

㏒ₐ 2² + ㏒ₐ 3³ - 3 · 1

2 · ㏒ₐ 2 + 3 · ㏒ₐ 3 - 3

Step 4 - By Step 1:

2 · b + 3 · c - 3

The logarithm ㏒ₐ (108 / a³) is equivalent to 2 · b + 3 · c - 3.

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Two planes are parallel and each plane contains a line. Are the two lines skew? Explain your reasoning.

Answers

If Two planes are parallel and each plane contains a line, the two lines are  not skew because In the event that any two lines fall on a single plane, they will either intersect or be parallel to one another. Both instances violate the concept of a skew line because the skew lines are neither parallel nor intersect.

Do two parallel lines on a plane have a skew?

Infinitely many lines cross through, yet only one of them is parallel to. Lines that never intersect and are in distinct planes are known as skew lines. Parallel lines and skew lines are distinguished by the fact that they both reside in the same plane, whereas skew lines do not.

The two lines would overlap at some point if the two planes on which they are located weren't parallel, which again defies the definition of skew lines.

Therefore, The skew lines are thus present if and only if both lines fall on a pair of parallel planes.

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Find the product of 3 1/4 and 1/2

Answers

The product of the improper fraction 3 1/4 and 1/2 is 1 5/8.

What is mixed fraction?

 A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. a fraction when the denominator (bottom number) and the numerator (top number) are both more than or equal (the bottom number). When the numerator is equal to or more than the denominator, the fraction is said to be improper fraction. It always has a value of one or higher.

Here the given fraction 3 1/4 convert into 13/4.

Now the product of the fractions is

=> 13/4 × 1/2

=> 13/8

=> 1 5/8.

Therefore product of the given fraction is 1 5/8.

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Pls help asap
Number 3

Answers

Answer:

No

Step-by-step explanation:

The value that corresponds with the other value on a data (34 to 2, 51 to 3, 68 to 5 etc.) needs to have the same quotient (or ratio) when you compare them.

34/2 = 51/3 ? Yes (but you can't stop here because you need to test ALL the values, what I mean is ALL the values UNTIL you found one that is not equal to each other, if all of them are equal, then the data are proportional.

34/2 = 68/5 ? No (Now you can stop here and say it's not proportional because we already found one pair that are not equal).

Shaylee is determining if 6 is the solution to the equation.

42 ÷ w = 7 for w = 6

First, Shaylee must substitute
for
.

To simplify, Shaylee must divide
by
.

Answers

First Shaylee must substitute 6 for w. To simplify, Shaylee must divide

42 by 6.

What is division?

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.

Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

In this equation we have

42 ÷ w = 7

The question has already specified the value of w as 6

Hence we would have to remove w and replace it with the value six 6.

This is

42 ÷ 6

Next we have to find the value or the answer when we do this division. This can be easily done with a calculator

42 ÷ 6 = 7

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Im not sure how to do this, could one of you give me the answer on how to do this?

Answers

Answer:

2x+4=52

2x+19=67

2x+13=61

(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)

x=24

Step-by-step explanation:

the sum of all three angles is equal to 180 degrees

So we can add all of these angles and set it equal to 180 like this

(2x+19)+(2x+4)+(2x+13)=180

Simplify by adding common terms

6x+36=180

   -36.  -36

6x=144

/6.  /6

x=24

So now to find the angles we just fill in x with 24


2(24)+4

48+4

52


2(24)+19

48+19

67

2(24)+13

48+13

61

Hopes this helps please mark brainliest

Which of the following expressions represents the distance between -3/4 and -0.2 on a number line?

Answers

The expression that represents the distance between -3/4 and -0.2 on a number line is |-3/4 + 0.2|

What is distance?

The distance between points on a number line is the number of units or points between these points

How to determine the distance?

From the question, we have the following parameters that can be used in our computation:

Distance between -3/4 and -0.2 on a number line

This means that

Endpoints = -3/4 and -0.2

These endpoints can be represented as

Endpoint 1 = -3/4

Endpoint 2 = -0.2

The distance between these endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2|

Substitute the known values in the above equation, so, we have the following representation

Distance = |-3/4 - -0.2|

Evaluate the difference

Distance = |-3/4 + 0.2|

Hence, the distance expression is |-3/4 + 0.2|

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Write the polynomial in standard form. Then
name the polynomial based on its degree and number of terms.

3. g-6g³+10g²-3

a. 6g³-10g²+g-3; cubic trinomial
b. -3+g+10g²-6g³; cubic binomial
c. -6g³+10g²+g-3; cubic polynomial
d. 10g³-6g²+g-3; quadratic binomial ​

Answers

C. The largest power term is 3 so it is cubic. Standard form takes the term and order them in decreasing order by power.

What is the value of y in the equation 2(2y − 16) = 0? (5 points)
a 4
b 6
c 8
d 9

Answers

Answer:

the options are wrong

Step-by-step explanation:

open the bracket2(2y)2(-16)=04y-32=0make y the subject of formulary=-32÷4y=-8

Answer:

C. 8

Step-by-step explanation:

2 x 8 = 16

16 - 16 = 0

2 x 0 = 0

Is g = 10 a solution to the inequality below?
g≤ 4
yes
Submit
S

Answers

Answer:

yes it is

atleat i think

One bulldozer clears land twice as fast as another. Together they clear a large tract in 1.5 hours. How long would the larger bulldozer take?

Answers

The larger bulldozer would take about 30 minutes.

If I am wrong please let me know by commenting on this answer!

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The dimensions of two rectangular prisms are shown below. How much more volume does the larger prism have than the smaller prism?

Answers

Answer:16/25 :D

Step-by-step explanation:does that help :3

The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Answers

The range of the function g, given the premises for f(x) = |x| and a < 0 while b ≠ 0 is; the set of all real numbers.

Range of a function

It follows from the task content that the range of the function g(x) = a|x| + b is to be determined given the parameters as in the task content.

Since the function f(x) = |x| has a range of y ≥ 0, and a is a negative number ( < 0), it therefore means that the a|x| is always a number less than 0 (<0).

However, the possible values of constant, b include all real numbers except 0.

On this note, the function g(x) = a|x| + b has a range which is the set of all real numbers. This is so because, g(x) > 0 when a|x| < b and g(x) < 0 when a|x| > b.

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