Which data set does this stem-and-leaf plot represent?


7, 0, 6, 2, 8

77, 7, 0, 6, 6, 0, 0, 2, 8

17, 27, 40, 46, 56, 60, 82, 88

40, 88, 82, 46, 56, 60, 17, 60, 27, 17

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Ages after 10 year :

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]

[tex] \\ \\ [/tex]

So :

[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\[/tex]

[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\bf \dashrightarrow x = \pink 5[/tex]

[tex] \\ [/tex]

We know :

[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]

[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]

[tex] \\ \\ [/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]

[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]

And all we are done ! ㋛

Answer:

6x⁵+12x⁴+3x³

Step-by-step explanation:

3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)

therefore

3x³(2x² + 4x + 1) =

(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)

*NOTE: for the brackets the multiplication law of indices is applied, i.e:

nª × n^b = n^a+b therefore

x³ × x² = x^3+2 = x⁵

x³ × x = x^3+1 = x⁴

x³ × x⁰ = x^3+0 = x³

*Note the quoeficents multiple each other, i.e:

3 × 2 = 6

3 × 4 = 12

3 × 1 = 3

so:

= 6x⁵ + 12x⁴ + 3x³

Answer:

b=35 because 4+29=35 and that my statement for this answer so glad with the rest

Answer:

49.36 degrees to the nearest hundredth.

Step-by-step explanation:

In the right angled triangle formed the adjacent side is 25.88 m and the opposite = 30.15 m.

So tan B =  30.15 / 25.88 = 1.16499

So m < B = 49.36 degrees.

Answer:

I have attached a screenshot of your inequality graphed. Credit to Desmos.

Using multiplication rules, it is found that the result of the multiplication will be a negative number.

Hence, in this problem we have that:

More can be learned about multiplication rules at https://brainly.com/question/4158962

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The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.

Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.

Total amount of time is:

2(1/4) + 5(1/2) + 3(3/4)

= 1/2 + 5/2 + 9/4

= (2 + 10 + 9)/4

= 21/4

= 5 ¼ hours.

Total time spent by students is: D. 5 ¼ hours.

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Answer:

78 HAMBURGERS!!!

Step-by-step explanation:

LET H BE THE NUMBER OF HAMBURGERS HOLD!!!

2H IS THE NUMBER OF CHEESEBURGERS BECAUSE THERE WERE 2 TIMES AS MANY CHEESEBURGERS SOLD AS HAMBURGERS!!!

H+2H=234 | THE TOTAL NUMBER OF CHEESEBURGER AND HAMBURGER SOLD!!!

3H=234 | ADD LIKE TERMS!!

DIVIDE BOTH SIDES BY 3 | ISOLATE THE VARIABLE!!!

H=78

THAT IS YOUR ANSWER!!!

- Khan Academy Advance!!!

Answer: 78 hamburgers

Step-by-step explanation:

      Let x be the number of hamburgers sold. We will write an equation for the problem and solve.

      2x + x = 234

      3x = 234

      x  = 78

       78 hamburgers were sold on Saturday.

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Answer:

y = 4x - 6

Step-by-step explanation:

Hi there!

We are given the points (3,6) and (1, -2), and that a line passes through these 2 points

We want to find the equation of said line

There are 3 ways to write the equation of the line:

The  most common way is slope-intercept form, so let's write the equation of the line this way

First, we need to find the slope

The slope (m)  can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] & [tex](x_2, y_2)[/tex] are points

Before we calculate, let's label the values of the points.

[tex]x_1=3\\y_1=6\\x_2=1\\y_2=-2[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-2-6}{1-3}[/tex]

Subtract

m=[tex]\frac{-8}{-2}[/tex]

Divide

m= 4

The slope of the line is 4

Substitute 4 as m in y=mx+b:

y = 4x + b

Now to find b

Since the equation passes through both (3,6) and (1, -2), we can use either point to help solve for b.

Taking (3,6) for example:

Substitute 3 as x and 6 as y.

6 = 4(3) + b

Multiply

6 = 12 + b

Subtract 12 from both sides

-6 = b

Substitute -6 as b into the equation

y = 4x - 6

Hope this helps!

Topic: finding the equation of the line

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Answer:

45 mile

Step-by-step explanation:

One inch is equivalent to 5 miles. Given this comparison in regards to scale, 9 inches would simply be 9 times that. In basic terms, 9 times or inches multiplied by each 5 mile increment would be stated as 9 inches x 5 miles, resulting in a 45 mile distance between the two cities.

Answer:

hope it helps you

Step-by-step explanation:

To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.

The break-even period after which you could make a $10,000 claim for

property damage without the insurance company suffering a loss is 15 months.

The break-even point is the point at which total revenue is equal to the total cost.

Taking only this customer's premiums, deductible, and claims into account, the break-even time during which the client might submit a $10,000 claim for property damage without causing the insurance company a loss is 15 months.

The corporation will not generate a profit or a loss during this break-even time. Therefore, the following Data and Calculations can be made,

Monthly insurance premium payable = $600 (assumed to be paid monthly)

Deductible on the insurance policy = $1,000

Minimum coverage = 30/50/10

Coverage for injury or death to one person = $30,000

Coverage for injury or death to two or more people = $50,000

Coverage for damage to property = $10,000

Average accidents every year = 2

Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)

Break-even period = 15($10,000 - $1,000)/$600

This break-even period is calculated by subtracting the deductible from the customer's claim and dividing the result by the monthly insurance cost.

Thus, after a 15-month break-even period, the client might file a $10,000 claim for property damage without the insurance company incurring a loss.

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Answer:

15 months

Step-by-step explanation:

verified with a teacher

Answer:

473

Step-by-step explanation:

→ Write the formula

Base × Height

→ Substitute in the numbers

[tex]27\frac{1}{2}*17\frac{1}{5}[/tex]

→ Convert to improper fractions

[tex]\frac{55}{2} *\frac{86}{5}[/tex]

→ Simplify

473

Answer:

Answer is 721.561 answer thanks

The formula is a = (b1*b2)/2   .    

Answer:

x = 28

y = 32

Brainliest?

Answer:

C. is the correct answer

Step-by-step explanation:

A. is incorrect because the sequence does not start with 15

B. is incorrect because the pattern increases by 5, not multiplied by 5

C. is correct because all of the even numbers in the pattern do end in 0

D. is incorrect because even numbers don't end in 5's

Hope this helps!

Answer: "Every even-numbered term in the pattern has a 0 in the evens place"

Step-by-step explanation:

     We can compare each statement to the pattern and see which ones don't apply.

   The first one is not true. We are adding 5, not having a sum of previous numbers.

  The second one is not true, it is adding 5. Not 5 times greater.

  An even number is a number ending in 0, 2, 4, 6, or 8. This means

that the third option is correct, giving us our answer.

Answer:

  (a) $1.92

  (b) $11.68

  (c) $19.21

Step-by-step explanation:

The tax is the product of the tax rate (7.5%) and the taxed amount.

__

  0.075 × $25.55 ≈ $1.92

  0.075 × $155.75 ≈ $11.68

  0.075 × $256.18 ≈ $19.21

_____

It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.

Answer:

8in

Step-by-step explanation:

Using the formulas

[tex]area = 2\pi \: r {}^{2} [/tex]

d= 2r

Solving for d

d= 2r

[tex]d = 2 \sqrt \ \frac{a}{\pi} = 2. \sqrt{ \frac{50.24}{\pi} } = 7.99797[/tex]

Answer:

(x + 3)² + (y -2)² = 4

Explanation:

Circle Formula: (x -h)² + (y -k)² = r²

"r" is radius, "h" is x coordinates of center, "k" is y coordinate of center.

Here given:

Insert values:

(x -(-3))² + (y -2)² = 2²

(x + 3)² + (y -2)² = 4

The height of the ladder far up the wall to the nearest hundredth is 7.52 foot.

A right angle triangle is formed.

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

The length of the ladder is the hypotenuse side of the triangle formed.

Therefore,

sin 70 = opposite / 8

cross multiply

opposite = 8 sin 70

opposite side = 8 × 0.93969262078

opposite side = 7.51754096629

opposite side = 7.52

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Answer:

Step-by-step explanation:

Directions

Draw a line from B to C. A can be anywhere above 132 degrees and it would have the same value as long as its endpoints are B and C

The actual value is 1/2 the central angle which is given as 132 degrees.

Givens

<BOC = 132 degrees.

<BOC is the central angle.

Solution

<BAC = 1/2 <BOC

<BAC = 1/2 132 degrees

<BAC = 66 degrees.

Answer

<BAC = 66 degrees

Answer:

Step-by-step explanation:

A={1,2,3}

n(A)=3

B={5,6}

n(B)=2

Answer:

-25 on painting supplies, +144 painting faces, +119 net gain

Step-by-step explanation:

spent = negative

earned = positive

net gain = earned - spent (sometimes it can be negative is you spend more than you make)

From the four graphs presented, it is expected the only one with a negative correlation coefficient is the third graph or graph c.

This occurs when the two variables analyzed go in opposite direction, which means one increases and the other decreases.

In a graph, a negative correlation coefficient is related to a negative slope.

This negative slope can be seen in the third graph or graph C.

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Answer:

talking tom

Step-by-step explanation:

i like this game. i used to play this game

Answer:

DEFINANTLY TALKING TOM HE IS SOOOO MUCH MORE FUN

Step-by-step explanation:

A. The word mean is the same as saying average. To find the average/mean add all the numbers together and then divide by the amount of numbers. For example, if your numbers were 2, 6, and 7. You would do 2+6+7=15. Then 15 divided by 3 is 5. The mean of those numbers is 5.

B. The median is the middle number. Put the numbers in a list from least to greatest and then find the one in the middle. For example, if your numbers were 1, 2, 3, 4, 5, 6,  the median would be 3.

C. The mode is the most frequent number. Count how many of each number appears in the list, the one with the most is the mode. For example, if your numbers were 1, 1, 3, 8, 2, 1, the number 1 would be the mode because it appears the most frequently.

D. The range is the smallest number and the largest number. If your numbers were 2, 12, 46, and 9, the range would be 2-46 or 2 to 46.

I hope this helps you, let me know if you have any questions or would like another example! :)