x-3/7=x+1/32 solve the equations

Answer:

x=-2

Step-by-step explanation:

3(2x-1)+2x=4x-11

6x-3+2x=4x-11

8x-3=4x-11

8x=4x-8

4x=-8

x=-2

The answer to the equation is [tex]x=-2[/tex]

First, you must use distributive property to simplify the equation.

[tex]6x-3+2x=4x-11[/tex]

Then, you must combine like terms.

[tex](6x+2x)-3=4x-11[/tex]

[tex]8x-3=4x=11[/tex]

Next, you must subtract 4x on each side

[tex]4x-3=-11[/tex]

Then, add 3 on both sides

[tex]4x=-8[/tex]

Finally, divide both sides by 4

[tex]\frac{4x}{4} =\frac{-8}{4}[/tex]

[tex]x=-2[/tex]

Answer:

Step-by-step explanation:

Since we are not told what to look for, we can as well look for the number of adults and children tickets sold.

Let x be the number of adult's tickets sold

Let y be the number of children tickets sold.

Let the total amount of tickets sold be 400, then;

x+y = 400....... 1

If she sells adults' tickets for $8 each and children's tickets at $3 each and she needs to bring in a total revenue of $1400, then the equation can be modelled as:

8x+3y = 1400......… 2

Solve equation 1 and 2 simultaneously.

Multiply equation 1 by 3 and 2 by 1:

3x+3y = 1200

8x+3y = 1400

Subtract

3x-8x = 1200-1400

-5x = -200

x = 200/5

x = 40

Substitute x= 40 into equation 1

x+y = 400

40+y = 400

y = 400-40

y = 360

This means that 40 adults tickets were sold and 360 children tickets were sold

Note that the total tickets was assumed.

Answer:

She has 4 extra phone lines

Step-by-step explanation:

85 + 7.5p = 115

115-85 = 30

7.5p ÷ 7.5

30 ÷ 7.5

p = 4

Answer:

B

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

-5° plus 5° equals 0

Answer:

A) Upper limit = 7.39

Lower limit = 6.37

Margin of error = 0.51

B)Sample size = 87

C) Upper limit = 2218.50

Lower limit = 1909.50

Margin of error = 154.50

Step-by-step explanation:

We are given;

x¯ = $6.88 per 100 pounds

σ = $1.98 per 100 pounds

n = 45

A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 1.98)/√40

MOE ≈ 0.51

Confidence interval is;

CI = x¯ ± MOE

CI = 6.88 ± 0.51

CI = ((6.88 + 0.51), (6.88 - 0.51))

CI = (7.39, 6.37)

Upper limit = 7.39

Lower limit = 6.37

B) We are given E = 0.35

Thus;

E = zσ/√n

Rearranging, we have;

n = (zσ/E)²

n = (1.645 × 1.98/0.35)²

n ≈ 87

Sample size = 87

C)We are told that the farm brings 15 tons of watermelon to market.

Also, 1 ton = 2000 pounds

Thus;

15 tons = 15 × 2000 pounds = 30000 pounds

Now this is per 100 pounds.

Thus, we can write as: 30000/100 = 300 pounds

So;

x¯ = 300 × 6.88

x¯ = 2064

σ = 1.98 × 300

σ = 594

Critical z-value for significance level of 0.1 is z = 1.645

Now, margin of error is;

MOE = zσ/√n

MOE = (1.645 × 594)/√40

MOE ≈ 154.50

Confidence interval is;

CI = x¯ ± MOE

CI = 2064 ± 154.50

CI = (2064 + 154.50, 2064 - 154.50)

CI = (2218.5, 1909.5)

Upper limit = 2218.50

Lower limit = 1909.50

Answer:

5

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So it's actually simple you take what you know...

24.75 = amount of meter contained in a roll of cotton

9.85 = amount of meter sold

Then you subtract them to get....

24.75 - 9.85 = 14.90

Answer:

32/3

Step-by-step explanation:

Answer:

28.3

Step-by-step explanation:

A=3.14*3*3=28.27433 rounded to 28.3

Answer:

[tex]L = (-10,10)[/tex]

Step-by-step explanation:

Given

[tex]K = (2,-6)[/tex]

[tex]T = (-4,2)[/tex]

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

[tex]T_x = \frac{K_x + L_x}{2}[/tex]

and

[tex]T_y = \frac{K_y + L_y}{2}[/tex]

Solving for [tex]L_x[/tex]

[tex]T_x = \frac{K_x + L_x}{2}[/tex]

[tex]-4 = \frac{2 + L_x}{2}[/tex]

Multiply through by 2

[tex]-8 = 2 + L_x[/tex]

[tex]L_x = -8 - 2[/tex]

[tex]L_x = -10[/tex]

Solving for [tex]L_y[/tex]

[tex]T_y = \frac{K_y + L_y}{2}[/tex]

[tex]2 = \frac{-6+L_y}{2}[/tex]

Multiply through by 2

[tex]4 = -6 + L_y[/tex]

[tex]L_y = 4 + 6[/tex]

[tex]L_y = 10[/tex]

Hence: The coordinates of L is:

[tex]L = (-10,10)[/tex]

Answer:

-8

Step-by-step explanation:

-9.5-(-8)-6.5  There are two negatives next to each other, so it's a positive.

-9.5+8-6.5     We want to use the order of operations, so first we can add.

-9.5+8=-1.5     The problem now looks like...

-1.5-6.5           Finally, just subtract.

-8                     8 is your answer!!

I hope this helped you...have a wonderful day c:

Answer:

The answer is x^2y^-12

The simplified form of the expression  (xy⁻⁶)² is  x²/y¹².

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression (xy⁻⁶)².

= (x²y⁻¹²).      (as the exponent of exponent multiply).

= x²/y¹².

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Answer:

Quadrant IV

Step-by-step explanation:

Answer:

quadrant lll

Why because

quadrant l would be soemthing like (-2,5)

quadrant ll would be (2,5)

quadrant lll would be( -2,-5)

and Quadrant llll would be (2,-5)

Answer:

15;30

Step-by-step explanation:

9514 1404 393

Answer:

  y = 1/2x -3

Step-by-step explanation:

The line rises 1 unit for each 2 horizontally, so the slope is ...

  m = rise/run = 1/2

The line crosses the y-axis at y = -3, so that is the y-intercept.

In slope-intercept form, the equation is ...

  y = 1/2x -3

hello

the question is incomplete, but based on directives from brainly i did an online search and i was able to get the complete question.

Researchers studying anthropometry collected body girth measurements

and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically

active individuals. The histogram below shows the sample distribution of heights in centimeters(a) What is the point estimate for the average height of active individuals? What about the  median?

(b) What is the point estimate for the standard deviation of the heights of active individuals?

What about the IQR?

(c) Is a person who is 1m 80cm (180 cm) tall considered unusually tall? And is a person who is  1m 55cm (155cm) considered unusually short? Explain your reasoning.

(d) The researchers take another random sample of physically active individuals. Would you

expect the mean and the standard deviation of this new sample to be the ones given above.

Explain your reasoning.

(e) The samples means obtained are point estimates for the mean height of all active individuals,

if the sample of individuals is equivalent to a simple random sample. What measure do we use  to quantify the variability of such an estimate? Compute this quantity using the data from  the original sample under the condition that the data are a simple random sample

Step-by-step explanation:

1. the point estimate for the average height is the mean = 171.1

the median of active individuals is 170.3

2. point estimate of sd = 9.4

to get IQR

[tex]Q3-Q1[/tex]

= 177.8 -163.8

= 14

3. mean +- SD

171.1 +-2(9.4)

171.1+18.8  = 189.9

171.1-18.8 = 152.3

[189.9, 152.3]

180CM is within the limits of 2SD. so a height of 180cm is not unusually tall

155 cm is within the 2sd limit so this height is not unusually short

4.

mean and sd are not same. a great probability exists that a different sample would have similar but different results if the same sample size is 507.

5.

[tex]9.4/sqrt507[/tex]

= 0.417

≈ 0.42

Answer:

C

Step-by-step explanation:

it is C because 8*60=480 minutes

so 480min/25min=19.20 round=19

25(19)-45=430<480 which is true

where as if you use 19 for p it wouln't be true

Answer:

13a + 9b + 11

Step-by-step explanation:

I hope this helps!

Answer:

13a+ 9b+ 11

Step-by-step explanation:

9a+4a= 13a

4b+ 5b= 9b

4+7=11

Answer:

-11

Step-by-step explanation:

-3+(-1)+(-5)+(-2)

-3+(-1)=(-4)

-4+(-5)=(-9)

-9+(-2)=(-11)

(-11)

HOPE THIS HELPS!!

Answer:

The correct option is option C

Step-by-step explanation:

Here we want an integer that can be inserted into the blank.

We have:

-15 , -3 4/5 , -1.5 , blank , 2.3 , 5 2/3

The integer that must be inserted into the blank should have a value between -1.5 and 2.3

What this means is that it should be greater than -1.5 but less than 2.3

Option A is incorrect since -2 itself is less than -1.5

option B is incorrect as it not an integer ( integer are whole numbers)

option C is correct

D. option D is incorrect since it is not an integer

Answer:

C

Step-by-step explanation:

Answer:

HOPE THIS HELPS!

Answer:

0.25feet

Step-by-step explanation:

The equation is not well written. Let the equation of the height be modelled as;

h = -16d²+8d+4

The velocity of the ball is zero at its maximum height.

Velocity = change in displacement/time

v = dh/dd

Differentiate

v = -32d+8

Since dh/dd = v = 0

0 = -32d+8

Add 32d to both sides

0+32d = 8

32d = 8

Divide both sides by 32

32d/32 = 8/32

d = 1/4

d = 0.25feet

Hence the maximum height of the tennis ball is 0.25feet

Note that the modeled equation was assumed. You can apply the same calculation to any equation given

Answer:

603.44

Step-by-step explanation:

solution,

radius=4 inches

height=12 inches

volume=?

we know,

volume of cylinder = πr^2h

=22/7×(4)^2×12

=22/7×16×12

=603.44 inches^3#

The volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cylinder whose radius of 4 inches and a height of 12

Radius r = 4 inches

Height h =12 inches

Volume=πr²h

Now plug in the values.

Volume=3.14×4²×12

=3.14×16×12

=602.88 cubic inches

Hence,  the volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.

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Answer:

The point estimated is 0.260

Step-by-step explanation:

The computation is shown below:

Sample in which the people have diabetes = 52

Random sample = 200

Significance level = 5%

Based on this, the, estimation point is

= Sample in which the people have diabetes ÷ Random sample

= 52 ÷ 200

= 0.260

hence, the point estimated is 0.260

We simply applied the above formula

And, the same is to be considered

The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.

Given :

Hypothesis are as follows:

Null hypothesis,  [tex]\rm H_0: p\leq 0.231[/tex]

Alternate hypothesis,  [tex]\rm H_a : p>0.231[/tex]

Now, performing the test of the hypothesis. The critical value z is given by:

[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]    ----- (1)

Now, the value of [tex]\hat {p}[/tex] is given by:

[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]

Now, put the values of known terms in equation (1).

[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]

[tex]z = \dfrac{0.029}{0.0298}[/tex]

z = 0.973

Therefore, the null hypothesis is accepted.

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Answer:

The population will reach 980,000 in 26 years approximately.

Step-by-step explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when  will the population reach 980,000

Formula : [tex]N(t)=N_0(1+r)^t[/tex]

N(t)= population after t years

[tex]N_0=[/tex] Initial population

t - time

r = rate of interest in decimals

So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]

t=25.55

So, the population will reach 980,000 in 26 years approximately.

Complete Question

The  complete question is shown on the first uploaded image

Answer:

a

[tex]\^ p_1 =  0.8102 [/tex]

b

[tex]\^ p_2 =  0.6904 [/tex]

c

[tex]\^ p_3 =  0.3701 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  743

    The number that said social media makes them feel more connected  to what is going on in their friends' lives is  k =  602

   The number that said social  media helps them interact with a more diverse group of people is  y =  513

   The  number that said feel pressure to post content that will get a lot of likes and comments is  c  =  275

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as

        [tex]\^ p_1 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_1 =  \frac{602}{743 }[/tex]\

=>      [tex]\^ p_1 =  0.8102 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media helps them interact with a more diverse group of people is mathematically represented as

        [tex]\^ p_2 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_2 =  \frac{513}{743 }[/tex]\

=>      [tex]\^ p_2 =  0.6904 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17   who feel pressure to post content that will get a lot of likes and comments is mathematically represented as

        [tex]\^ p_3 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_3 =  \frac{275}{743 }[/tex]

=>      [tex]\^ p_3 =  0.3701 [/tex]

The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.

The point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:

= Number of teens / Sample size

= 602/743

=™0.8102

The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:

= 513/743

= 0.6904

The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:

= 275/743

= 0.3701

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

<KLM = 48 degrees

Step-by-step explanation:

According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.

Recall that the addition of all internal angles of a triangle must give 180 degrees.

The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM

Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x

The we can now solve for "x" in the equation of addition of internal angles of a triangle:

(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180

Combining like terms on the left

- 3 x + 204 = 180

subtracting 204 from both sides:

- 3 x = 180 - 204

- 3 x = - 24

divide both sides by "-3" to isolate x

x = - 24 / (-3)

x = 8 degrees

Now that we know "x", we can find the measure of angle <KLM via its formula:

<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees

Answer:

$22.56

Step-by-step explanation:

$6.88 ⋅ 12 = $82.56

So you would have to pay $82.56 per year if you paid $6.88 per month.

$82.56 - $60.00 = $22.56

You would save $22.56 if you paid $60.00 per year.

Hope I helped :)

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