Brooke solved the equation below:

6r = 72
6r − 6 = 72 − 6
r = 66

Is Brooke's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)

Answers

Answer 1

Answer:

Incorrect because she was supposed to divide 6 on both sides to get the answer of 12.

Step-by-step explanation:

6r = 72

r = 72/6

r = 12


Related Questions

what is the equation of the line that passes through the points (-4,-5) and (-2,-6)​

Answers

Answer:

The equation is: y=-0.5x-7

Step-by-step explanation:

87+25
[tex]12 + 10 [/tex]

Answers

Answer:

Seriously?

U don't know the answer

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points. Find Keenan's and Rachel’s z-scores, to the nearest hundredth.

Answers

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 77}{4.9}[/tex]

[tex]Z = 0.61[/tex]

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75 - 78}{3.7}[/tex]

[tex]Z = 0.81[/tex]

Rachel's z-score was of 0.81.

the larger of two numbers is twice the smaller. if the larger is x what is the smalller. I NEED HELP PLSSS!!

Answers

Answer:

Easy. The smaller is x/2.

Step-by-step explanation:

2 times is larger, so larger divided by 2 is the smaller.

What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?

Answers

Answer:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

A x 2 = your answer

10 \div (-2) = ?10÷(−2)=

Answers

Answer: -5 I'm pretty sure, the way you put it kinda made me confused

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

m = 4, (6,6)

Answers

Answer:

[tex]4x-y=18[/tex]

Step-by-step explanation:

We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).

First, we can write it in point-slope form. Point-slope form is given by:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Where (x₁, y₁) is a point and m is the slope.

Substitute:

[tex]y-6=4(x-6)[/tex]

Distribute the right:

[tex]y-6=4x-24[/tex]

Now, we can separate all the variables and the constants. Subtract 4x from both sides:

[tex]-4x+y-6=-24[/tex]

Add add 6 to both sides:

[tex]-4x+y=-18[/tex]

Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:

[tex]4x-y=18[/tex]

Please help me i dont know what to do

Answers

Answer:

Help you with what?

Simplify, then write the answer in the standard form
(2x3 - X + 8) + (- X3 + x - 3)

Answers

Answer: x^3+5

Step-by-step explanation: You add the terms with similar exponents.

2x^3 + (-x^3) = x^3     -x+x = 0      8 + (-3) = 5

Are these ratios equivalent?
28 strikes : 36 balls
7 strikes : 9 balls

Answers

Answer:

yes

Step-by-step explanation:

the ratio of 28 : 36 can be simplifeid by dividing both sides of the ratio by 4.

28/4=7

36/4=9

so the ratio of 28 : 36 is equal to 7 : 9


One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.

Answers

Answer:

19 degrees

Step-by-step explanation:

Sum of 2 angles is complementary,

x + 71 = 90

x = 90 - 71

x = 19 degrees

Is anyone good at math on the top of their head pls comment below ASAP!!!

Answers

Answer:

please do you need help there are more expect around

Step-by-step explanation:

drop the question let help you

Answer:

yea me kinda the only thing i help on brainly is math

Step-by-step explanation:

Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Evelyn to end up with $6,200?

Answers

Answer:

Quarterly interest rate= 0.8974%

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $3,500

Future Value (FV)= $6,200

Number of periods (n)= 16*4= 64 quarters

It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:

Function: CMPD

n= 64

I%= SOLVE= 0.8974

PV= 3,500

FV= -6,200

Quarterly interest rate= 0.8974%

Answer:

3.6%

Step-by-step explanation:

The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.

Answers

9514 1404 393

Answer:

  ∠5 = 60°

  ∠6 = 30°

  ∠7 = 120°

Step-by-step explanation:

Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)

  ∠5 = 60°

  ∠6 = 30°

  ∠7 = 120°

-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.

Answers

Answer:

From least to greatest, the correct order is: [tex]-\frac{157}{20}[/tex]; -7.666....; -7.64; and [tex]\sqrt{50}[/tex].

Step-by-step explanation:

Since [tex]\sqrt{50}[/tex] is the only positive number, that means that it will be the greatest number on the list. [tex]-\frac{157}{20}[/tex] is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is [tex]-\frac{157}{20}[/tex]; -7.666...; -7.64; and [tex]\sqrt{50}[/tex].

pls help me answer this​

Answers

Answer:

C

Step-by-step explanation:

Bc everything is positioned right

I hope this helps

What is the positive solution to the equation 2x2 + 3x = 2?

Answers

Answer:

x(2x+3)

Step-by-step explanation:

Answer:

X= -2

2. x = 1/2 = 0.500

Step-by-step explanation:

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Answers

Answer:

4x+1

Step-by-step explanation:

Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.

so you add: (3x-1) and (x+2)

combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1

What is the length of missing side X? Options are on photo
Help ASAP

Answers

Answer:

it should be 5 because its a rectangle

Answer:

x = 5cm

Step-by-step explanation:

Remember opposite sides of a rectangle are congruent

The opposite side of side "x" is equal to 5 cm therefore x = 5 cm

Important note! : The triangle does not change the side length as it is formed using it.

Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1

×2
5
4

. ​



Write the answer as a reduced fraction.​

​Use slash \left(/\right)(/) to separate numerator and denominator.

​Answer:​

Answers

Don’t click on it the link he sent

Answer:

bro gave me a virus

Step-by-step explanation:

dont click the link

the percent of the principal that is earned in return for loaning the bank the funds?
a. compound interest
b. simple interest
c. interest rate
d. principal

Answers

Answer:

B

Step-by-step explanation:

Find the area of the figure

Answers

Answer:

145.1327

Step-by-step explanation:

Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).

Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])

8 * 15 = 120

Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve

[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]

[tex]=\frac{(pi)(4)^2}{2}[/tex]

[tex]=\frac{(pi)16}{2}[/tex]

[tex]=8(pi)[/tex]

~25.1327

Now add up the two values,

120 + 25.1327

= 145.1327

100
100
Students, drow anywhere on this slide!

Answers

Answer:

Im sorry what?

Step-by-step explanation:

Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26

Answers

Answer:

22)

[tex]2(length+breadth+h)[/tex][tex]2(5a^2b^2+3ab^2)[/tex][tex]Perimeter: 2ab^2(5a^2+31)[/tex]

[tex]Area:-[/tex]

[tex]5a^2b^4 *3ab^2[/tex][tex]A=15a^2b^6[/tex]

-----------

23)

[tex]perimeter:-[/tex]

[tex]4m^2+3mn^2+7mn[/tex][tex]4m^2+10mn^2[/tex][tex]answer: 2m(2m+5n^2)[/tex]

[tex]Area:-[/tex]

[tex]\frac{1}{2}* base* height[/tex][tex]1/2*3mn^2*4m^2[/tex][tex]6mx^{2+1}n^2[/tex][tex]A=6m^3n^2[/tex]

----------

24)

[tex]1/2*b*h[/tex][tex]1/2x^24m^2*8mn[/tex][tex]A=16m^3n[/tex]

----------

25)

[tex]1/2*(7a^2b+11a^2b)*3ab[/tex][tex]1/2*18a^2b*3ab[/tex][tex]9a^2b*3ab[/tex][tex]A=27 a^3b^2[/tex]

------------

26)

[tex]A= 9\pi (x^3y)^2[/tex]

∴To calculate the perimeter , add the length of its sides.

∴To calculate the area, multiply its height by its width.

------------------------

hope it helps...

have a great day!!

pls help me under stand this​

Answers

9514 1404 393

Answer:

  5 ft

Step-by-step explanation:

You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.

  A = (1/2)(b1 +b2)h

Filling in the given information, you have ...

  30 ft² = (1/2)(4 ft +8 ft)h

  30 ft² = (6 ft)h . . . . . . . . . . . simplify

  h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h

The height of the trapezoid is 5 feet.

Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías?

Answers

Answer:

Step-by-step explanation:

A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Answers

Answer:

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL

This means that [tex]\mu = 30.8, \sigma = 4.371[/tex]

What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?

This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.

X = 39.73

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.73 - 30.8}{4.371}[/tex]

[tex]Z = 2.04[/tex]

[tex]Z = 2.04[/tex] has a pvalue of 0.9793

X = 36.84

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{36.84 - 30.8}{4.371}[/tex]

[tex]Z = 1.38[/tex]

[tex]Z = 1.38[/tex] has a pvalue of 0.9162

0.9793 - 0.9162 = 0.0631

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

2. A meeting room has 8 rows of
chairs. Each row has 10 chairs.
The first people to arrive fil 2 rows.
How many chairs are not filled?

Answers

Answer:60

Step-by-step explanation:

There are 80 chairs in all because 8 rows x 10 chairs per row. The first people fill two rows which is 20 chairs because each row is 10 chairs so 60 chairs are left

A geologist examines 18 water samples for iron concentration. The mean iron concentration for the sample data is 0.272 cc/cubic meter with a standard deviation of 0.0851. Determine the 99% confidence interval for the population mean iron concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The critical value that should be used in constructing the confidence interval is T = 2.898.

The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.898\frac{0.0851}{\sqrt{18}} = 0.058[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.272 - 0.058 = 0.214 cc/cubic meter.

The upper end of the interval is the sample mean added to M. So it is 0.272 + 0.058 = 0.33 cc/cubic meter.

The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.

Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40

Answers

9514 1404 393

Answer:

  (a)  28

Step-by-step explanation:

Kruskal's algorithm has  you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.

Starting at E, the node list is EHGBACDF. The cost is ...

  3 +4 +5 +1 +6 +7 +2 = 28

__

In the attached, the minimum-cost spanning tree is highlighted in red.

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