Solve the equation, keeping the value for x as an improper fraction. 2/3 x = − 1/2 x + 5

Answers

Answer 1

Answer:

[tex]x= 30/7[/tex]

Step-by-step explanation:

[tex]2/3 x = -1/2 x + 5[/tex]

[tex]2/3x+1/2x = + 5[/tex]

[tex]7/6x=5[/tex]

[tex]x=5 \times 6/7[/tex]

[tex]x= 30/7[/tex]


Related Questions

Can someone solve this?

Answers

Answer:

x = 6y = 18

Step-by-step explanation:

The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.

__

By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100

This is also the product of the distances on the secant that intersects the tangent:

  100 = 5(5+x+9)

  20 = x +14 . . . . . divide by 5

  x = 6 . . . . . . . . . . subtract 14

__

The same is true when the secants intersect inside the circle:

  6·9 = y·3

  y = 18 . . . . . . divide by 3

Trydint" bubble-gum company claims that 9 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.
The null and alternative hypothesis in symbols would be:____________.
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9
The null hypothesis in words would be:_____________.
1. The proportion of all people that prefer Trydint gum is 0.9
2. The proportion of all people that prefer Trydint gum is greater than 0.9.
3. The proportion of people in a sample that prefer Trydint gum is not 0.9
4. The average of people that prefer Trydint gum is not 0.9.5. The proportion of all people that prefer Trydint gum is less than 0.9.6. The average of people that prefer Trydint gum is 0.9.7. The proportion of people in a sample that prefers Trydint gum is 0.9.

Answers

Answer:

The null and alternative hypothesis in symbols would be:H0:μ=0.9

H1:μ≠0.9,

The null hypothesis in words would be:_____________.

1. The proportion of all people that prefer Trydint gum is 0.9

Step-by-step explanation:

The Null hypothesis should always be precise such as the given coin is biased. The null hypothesis is assigned a numerical value.

For example the average height of all students in a college is 62 inches. Symbolically it is written as :H0:μ=62

An alternative hypothesis is any other hypothesis which we accept when the null hypothesis is rejected.If the null hpothesis of the height of students is :H0:μ=62 then alternative hypothesis is H1:μ≠ 62

Answer:

H0: p = 0.9

H1: p ≠ 0.9

1. The proportion of all people that prefer Trydint gum is 0.9

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The null hypothesis is that the proportion of all people that prefer Trydint gum is 0.9.

H0: p = 0.9

The alternative hypothesis is that the proportion of all people that prefer Trydint gum is not equal to 0.9.

H1: p ≠ 0.9

A farmer has a total of 21 cows and chickens altogether The animals have 54 legs how many cows and how many chickens does the farmer have?

Answers

4p+2c=54
4p+2(21-p)=54
4p+42-2p=54
2p+42=54
2p=12
p=6

4p+2c=54
4(6)+2c=54
24+2c=54
2c=30
c=15

p=6, c=15

What’s the correct answer for this question?

Answers

Answer:

A.

Step-by-step explanation:

In the attached file

40% of a number is 44. Find the number

Answers

Answer:

110

Step-by-step explanation:

40% is the same as 40/100, which is equal to 0.4. Therefore, you can write the following equation:

0.4x=44

Divide both sides by 0.4 to isolate x:

x=44/0.4=110

Hope this helps!

A jar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability of selecting a blue marble ?

Answers

Answer:

16.666%

Step-by-step explanation:

100/6=16.66

Write the equation of the line that passes through the points (-2,-6) and (7,8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y+6=14/9(x+2)

Step-by-step explanation:

Hope this helps

I Don’t get It Plz Help

Answers

Answer:

D

Step-by-step explanation:

Its D because there is one dot that's far away from the rest, so there is one outlier. Hopefully this was helpful, I really am not the best person at giving explanations

Answer:

D. There is one outlier.

Step-by-step explanation:

Most of the points on the scatterplot are contained in one cluster, but there is one point that is not in the same cluster as the others.

Show the reflection of the given points.Locate the points of the reflection in their proper position around the x-axis

Answers

Answer: I believe this is it

The required reflection of the given points are A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)

What is Reflection of point around x-axis?

If we have any point say P(x, y) then their reflection around x -axis is

P'(x, -y)

Therefore around x-axis reflection only y coordinate changes

How to find reflection around x -axis?

here we have the points

A = (5, 1), B = (1, 3), C = (-2, 2), D = (-5, 4)

Therefore the reflected points are

A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)

The presentation is attached in the image

This is the conclusion to the answer.

Learn ore about reflection of the points here-

https://brainly.com/question/7243416

#SPJ2

How do you relate the points made by Professor Degraeve and the use of decision trees as a decision making tool?
In practice, do you feel that organizations focus more on outcomes or decisions?
Suggest at least one idea as to how an organization can make a cultural shift to focusing on the process associated with decision making as opposed to the outcomes.

Answers

Answer:

Organizations really focus more on early results, than on thinking carefully about the decisions they must make to achieve accurate and reliable results.

 The diagram of the decision tree really helps to analyze all the possible associated variables that can contribute to a good result.

Step-by-step explanation:

We could think of an organization that has children's toys as its final product; At first this organization might think that it is best to make the most popular toys that are promoted by the advertising media, but making a decision diagram and really evaluating what is best at the moment and how this affects demand, it could be induced to look all the variables that could determine to what extent those "toys" to which the media advertise so much are so acceptable in the children's market; we could really be surprised.

Evaluate the function for x = -4n.
Ax)= 47° - 50
A. -64n2 + 20n
B.
64n" + 20x
C. -64n? - 20n
D. 64n2 – 202

Answers

c is the correct one

what is the least amount of cardboard needed to make a box that measures 7 inches by 12 inches by 5 inches

Answers

Answer:

420 Square Units

Step-by-step explanation:

7*12*5 = 420 units

What is the value of Y?

Answers

Answer:

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer B

cause a full triangle degrees is 180 degrees and u just have to remove:

180-40-30= 110 degrees

a team won 8 of the 24 games it played in one season .what percentage of the games did it win​

Answers

Answer:

The team won 33.33% of their games.

Step-by-step explanation:

Proportion and percentage of games won:

The proportion of games won is the number of games won divided by the total number of games.

The percentage of games won is the proportion multiplied by 100.

We have that:

8 wins in 24 games.

So

8/24 = 0.3333

0.3333*100 = 33.33%

The team won 33.33% of their games.

A broth used to manufacture a pharmaceutical product has its sugar content, in mg/mL, measured several times on each of three successive days.
Day 1: 5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0
Day 2: 5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7
Day 3: 6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6
Can you conclude that the variability of the process is greater on the third day than on the second day?

Answers

Answer:

Yes

Step-by-step explanation:

To compare the variability of the measured sugar content for each day, we can estimate the standard deviation using the Range rule.

Standard Deviation =[tex]\dfrac{\text{Maximum Value-Minimum Value}}{4}[/tex]

Day 1

5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0

Maximum Value=5.2Minimum Value=4.8

Standard Deviation =[tex]\dfrac{5.2-4.8}{4}[/tex]

=0.1

Day 2

5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7

Maximum Value=5.8Minimum Value=4.7

Standard Deviation =[tex]\dfrac{5.8-4.7}{4}[/tex]

=0.275

Day 3

6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6

Maximum Value=6.3Minimum Value=4.7

Standard Deviation =[tex]\dfrac{6.3-4.7}{4}[/tex]

=0.4

Since the estimated standard deviation of the third day is higher than that of the second day, the variability of the process is greater on the third day than on the second day.

FIND THE CORRECT INTERCEPT OF THE LINE!
find the X and Y.

and please tell me how u got it. u know if u can

Answers

Answer:

see below

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at x = -7.5

(-7.5,0)

The y intercept is where it crosses the y axis

It crosses at y = 5.5

(0,5.5)

Jasmine found a wooden jewelry box shaped like a right rectangular prism. What is the volume of the jewelry box?

Answers

Answer:

The volume of the jewelry box will be given by,

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Step-by-step explanation:

It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.

Consider the diagram below for the shape of a right rectangular prism.

The volume of a right rectangular prism is given by the formula:

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Here,

l = length of the rectangle

w = width of the rectangle

h = height of the rectangular prism

Thus, the volume of the jewelry box will be given by,

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Answer:

In the given problem, since it was stated that the dimension of the right rectangular prism is 8 by 6 by 14 cm. To solve the problem, you can use the formula for finding the volume. Therefore, the volume of the jewelry box is 672 cubic cm.

plss help answer these qutions plss

Answers

Answer:

Step-by-step explanation:

[tex]V=whl=15*7*6=630ft^3(truck)[/tex]

[tex]V=whl=1.25*2.5*2=6.25ft^2(boxes)[/tex]

To determine how many boxes can go in each truck you have to divide the volumes with ach other so 630/6.25 which equals 100.8

So you could say 2 trucks because each truck can carry 100.8 boxes each

[tex]V=\frac{1}{4} h\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\V=\frac{1}{4} *7.1*\sqrt{-4^4+2*(4*5)^2+2*(4*4)^2-5^4+2*(5*4)^2-4^4} \\=55.42m^3\\(chalet)[/tex]

There is allowed 1 person per 15m^3 and there are 5 people. Only 3 people can stay in the chalet equalling 45m^3 leaving 10m^3 left thus, not allowing anymore people to stay in the chalet. So the family cant meet the fire safety standards with 5 people

Answer:

  9) 630 ft^3; 6.25 ft^3; 2 trucks (3, if you consider space utilization)

  10) 71 m^3; 4 persons; no

Step-by-step explanation:

9) The volume of the truck is the product of the dimensions:

  V = LWH = (15 ft)(7 ft)(6 ft) = 630 ft^3 . . . truck V

Likewise, the volume of a storage box is the product of its dimensions:

  V = LWH = (2 ft)(2.5 ft)(1.25 ft) = 6.25 ft^3 . . . box V

If the boxes pack well into the truck (they don't), then the number of boxes that would fit in the truck is the ratio of these volumes:

  number of boxes = (630 ft^3)/(6.25 ft^3) = 100.8

This suggests that half of the 200 boxes will fit in one truck, so 2 trucks are needed.

__

Comment on space utilization

In the real world, not all of the truck's interior space can be utilized. This is because not all of the truck dimensions are integer multiples of the box dimensions. 96 is about the most boxes that can be placed in the truck. (Fitting more than 90 requires boxes be first layered one way, then layered another way to fill as much of the remaining space as possible.) In the real world, 3 trucks are needed to move 200 of these boxes.

___

10) The area of the end triangle of the chalet is ...

  A = (1/2)bh = (1/2)(5 m)(7.1 m) = 17.75 m^2

Then the volume of the chalet is ...

  V = Bh = (17.75 m^2)(4 m) = 71 m^3 . . . volume of the chalet

At 15 m^3 per person, there is enough volume for ...

  (71 m^3)/(15 m^3/person) = 4.73 persons

4 persons can stay in the chalet.

No, the entire family cannot stay in the chalet.

Please answer this correctly

Answers

Answer:

= 16  12/13 mm

Step-by-step explanation:

To find the perimeter, we add all the sides

P = 4 3 /13 +4 3/13+ 4 3 /13 +4 3/13

Adding the whole numbers

4+4+4+4 = 16

Adding the fractions

3/13+3/13+3/13+3/13 = 12/13

Putting this back together

   = 16  12/13 mm

The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.1 years and a sample variance of 36.0 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girlCalculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM______ . The t statistic is_________

Answers

Answer:

The estimated standard error is SM=1.1547 . The t statistic is 1.4722.

Step-by-step explanation:

We have to esimate the standard error and test statistic for a sample.

The sample has a size n=27.

The sample mean is M=17.7.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√36=6.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{27}}=1.1547[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.7-16}{1.1547}=\dfrac{1.7}{1.1547}=1.4722[/tex]

A company offers earthquake insurance. Annual premiums are modeled by an exponential random variable with mean 2. Annual claims are modeled by an exponential random variable with mean 1. Premiums and claims are independent. Let X denote the ratio of claims to premiums. What is the density function of A?

Answers

Answer:

The density function of X is : [tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]

Step-by-step explanation:

[tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]

For easiness and clarity of expression, the calculations are handwritten and attached as files. The files are broken into bits for easy understanding. Check the six files below for the calculations.

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

D : {3,5,7,9}

Step-by-step explanation:

The domain is the input to the function or in this case the x values

D : {3,5,7,9}

_________________________________

Hey!!!

Answer:

Domain:{3,5,7,9}

Explanation:

Domain

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain.

Hope it helps

Good luck on your assignment

________________________________

PLEASE HELP!!! A bridge has a weight limit of 5000 kg. What is the heaviest load that a pickup truck weighing 4500 pounds could tow across the bridge? ( 1kg = 2.2 pounds)

Answers

Answer:

  6500 lb

Step-by-step explanation:

The load limit of the bridge is ...

  (5000 kg)(2.2 lb/kg) = 11,000 lb

The total of truck and trailer cannot exceed this value, so the trailer's weight cannot exceed ...

  11,000 lb -4,500 lb = 6,500 lb . . . max trailer weight

A coal mine worker is 650 feet below the ground in a mine. Another coal mine worker is 7 feet above ground operating machinery.
Write an integer for the position of each worker relative to the ground.
Find the absolute value of each integer.
Which worker is farther from the ground surface?

Answers

Answer:

The first coal mine worker is 650 feet below, so they're -650 ft.

The second coal mine worker is 7 feet above, so they're +7 ft.

| -650 | = 650 ft

| 7 | = 7 ft

650 > 7, so the first worker is farther from the surface.

Which graph represents the solution for x2 + x - 12 > 0?

Answers

Answer:it’s c on edge, sorry i’m late but for anyone else who needs help it’s c !!

Step-by-step explanation:

Answer:

C. on edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!!    : )

B

А

С

T

D

© 2016 Strong Mind. Created using GeoGebra.

In circle T, m AB = (3x + 9° and mCD = (11x – 71).

What is the measure of AB?

61°

37°

10°

39°

Answers

Answer:

D. 39°

Step-by-step explanation:

mAB = (3x + 9°)

mCD = (11x – 71)

From the diagram: |AB|=|CD|

Since arcs AB and CD are subtended by a chord of equal length.

mAB=mCD

3x + 9°=11x – 71°

Collect like terms to solve for x

11x-3x=9°+71°

8x=80°

x=10°

Therefore, the measure of AB:

mAB = (3x + 9°)

=3(10)+9

=30+9

=39°

The correct option is D.

Suppose Harvey owns a small business that produces computer motherboards. He previously owned one machine, machine A, that produced these motherboards. In an effort to increase production, he recently purchased a new machine, machine B, that also produces motherboards. Although both machines produce motherboards at the same rate, Harvey suspects that machine A produces fewer defective motherboards than machine B. In order to test this hypothesis, he randomly selects 260 motherboards produced by machine A and 200 motherboards produced by machine B. He observes that 13 of the sampled items from machine A are defective and 14 sampled items from machine B are defective. Harvey plans to use the sample data he collected to test if the frequency of defective items produced by machine A is less than the frequency of defective items produced by machine B.
Select the appropriate test that Harvey should perform to test his hypothesis.
a. two-sample t-test for two means
b. one-sample z-test for a mean
c. one-sample z-test for a proportion
d. matched-pairs t-test
e. two-sample z-test for two proportions

Answers

Answer:

e. two-sample z-test for two proportions

Step-by-step explanation:

He has two machines, which have a proportion of defective motherboards. He want to compare this two proportions.

He takes two samples, one for each machine, and calculate the proportion in order to statistically test if there are significant difference between the proportions.

Then, this is a two-sample z-test for two proportions

Solve for x in the diagram.

Answers

Answer:

x = 20

Step-by-step explanation:

x° + 2x° + (x+10)° = 90°

3x° + x° + 10° = 90°

4x° + 10° = 90°

4x° = 90°-10°

4x° = 80°

x = 80/4

x = 20

Answer:

20°

Step-by-step explanation:

The sum of all three angles combined is 90°.  You can see this by the square at the corner.  This means that you have to add all of the angles together and set it equal to 90° to solve for x.

x° + 2x° + (x + 10)° = 90°

3x° + (x + 10)° = 90°

4x° + 10° = 90°

4x° = 80°

x = 20°

how many pieces each 2 3/4 m long may be cut from a string 16 1/2 ?

Answers

Answer:

6

Step-by-step explanation:

2 3/4 = 2.75 & 16 1/2 = 16.5

No of pieces = 16.5/2.75 = 6

Answer:

6 pieces.

Step-by-step explanation:

16 1/2 /  2 3/4

= 33/2 / 11/4

= 33/2 * 4/11

=  132 / 22

=  6

The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?

acres

Answers

Answer:

333 miliacres

Step-by-step explanation:

First of all, you should know  that 1 acre is the same as 4046.9 m²

So, 1/3 of those 4046.9 m² is fully covered by strawberries.

By the way, 4046.9m² . 1/3 = 1348.96 m². This is our planted field.

Let's convert the measure to acres, though:

1348.96 m² . 1 acre / 4046.9 m² = 0.333 acres

0.333 acres . 1000 / 1 acre = 333 miliacres

If you want to know in another unit, let's do another conversion

0.333 acre . 43560 square feet / 1 acre = 14520 square feet

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