Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old as Helen. What are the ages

Answers

Answer 1

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

Answer 2

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

m = Mary's age.h = Helen's age.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

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Related Questions

1 dollar bill is 6.14 inches long 2.61 wide and 0.00043 thick. If you had 1 billion in 100 dollar bills the the number of bills would be

Answers

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest

Answers

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

Please help me important quePlease help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Enter the value of x that makes the given equation true. x + 7 1/3 = 18 2/3​

Answers

Answer:

Step-by-step explanation:

Enter the value of x that makes the given equation true. x + 7 1/3 = 18 2/3

Multiple choice: Select the best answer for Exercises 49 to 52. Most people can roll their tongues, but many can’t. The ability to roll the tongue is genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400 students and find that 317 can roll their tongues. The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (a) 0.008. (b) 0.02. (c) 0.03. (d) 0.04. (e) 0.208.

Answers

The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04

The margin of error is a statistic that describes how much random sampling error there is in survey results.

Given in question,

n = 400

p = 317/400

  = 0.7925

Confidence Level = 95%

                          = 0.95

Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)

Confidence level corresponding to 95 % confidence interval, z = 1.96

Therefore,

Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)

                         = 0.0397

                         ≈ 0.04

Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.

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What’s is 47x88x9x0???

Answers

Answer:

0

Step-by-step explanation:

go left to right

47x88=4136

4136x9=37224

37224x0=0

2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.​

Answers

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Ernesto has a jump rope that is 10.5 feet long. To make the jump rope the jdeal length for his height, Emesto needs to cut off 0.3 of the jump rope. If Ernesto does this, how much rope will he cut off?​

Answers

Answer:wouldnt he cut of 0.3?

Step-by-step explanation:It legit says that in the question and ther will me 10.2 feet left

Answer:

it is c

Step-by-step explanation:

Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}

Given the following, determine the set (B n C)'.U= {x|x EN and x &lt; 10}B = {x|x EN and x is even and

Answers

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

4. Maria also wants to study the relationship between the weight of puppies at birth
and their adult weight (at two years old). She collected data from five randomly
selected small-breed dogs and displayed the data in the table.
Birth weightAdult weight
(pounds) (pounds)
1.5 10
317
18
2.5 14
Birth weight Adult weight
(pounds) (pounds)
0.75 5
Part A. Use the data in the table to create a scatterplot. (5 points)
Part A.
(5 points)
Dog Birth and Adult Weights

4. Maria also wants to study the relationship between the weight of puppies at birthand their adult weight

Answers

Answer:

 y = 4.87x + 2.28 Is the answer

Step-by-step explanation:

( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )

using a:

THE ULTIMATE LINEAR REGRESSION CACLAULTOR

yes it is the epic i get:

y = 4.87x + 2.28

Nothing more noting less ikr

y = 4.87x + 2.28 Being the answer

6 + 4|2x + 6| = 14
Solve for x

Answers

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

Two card are pulled from a normal deck of 52 cards, without replacement.
What are the odds of the two cards being a pair?

Answers

Answer:

The probability that both cards that are drawn are hearts is 1/17.

Step-by-Step-Explanation:

First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.

So hence, your answer is 1/17

-----------------------------------——————---------------------------------------------------------

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g(0)=-4x^2-3x+2

g(2)=-4^2-3x+2

Answers

The simplified value for the function at g(0) and g(2) are 2 and -20 respectively.

What is simplification?

To simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

Given a function g(x) = -4x² - 3x + 2

to find the values of g(0)

and g(2)

for g(0)

substitute x = 0 in the equation,

g(x) = -4x² - 3x + 2

g(0) = -4(0)² - 3(0) + 2

g(0) = 2

for g(2), substitute x = 2 in the equation,

g(x) = -4x² - 3x + 2

g(2) = -4(2)² -3(2) + 2

g(2) = -4(4) - 6 + 2

g(2) = -16 - 6 +2

g(2) = -20

Hence the values for g(0) is 2 and for g(2) is -20.

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Question 1
The perfect square among the following options is
8
Say
27
216
256

Answers

Answer:

217 is the perfect swuare i think

what is an equation of the line that passes through the point (6,-2) and is perpendicular to the line 6x+y=2​

Answers

Answer:

Step-by-step explanation:

y = -6x + 2

perp. 1/6

y + 2 = 1/6(x - 6)

y + 2 = 1/6x - 1

y = 1/6x - 3

We want to find a line such that it passes through a given point and is perpendicular to another line.

We will find that the equation of the line is: y = (1/6)*x - 3

First, we do know that for a line of the form:

y = a*x + b

where a is the slope and b is the y-intercept.

Any perpendicular line will have a slope equal to the opposite of the inverse, so the slope of the perpendicular line will be: -(1/a).

Now we want to find a perpendicular line to:

6*x + y  = 2

We rewrite it in the slope-intercept form:

y = -6*x + 2

The slope is -6, then the slope of a perpendicular line will be:

-(1/-6) = (1/6)

Then the general perpendicular line is:

y = (1/6)*x + b

To find the value of b, we use the fact that our line must pass through the point (6, -2). This means that when x = 6, y = -2

Repacing that in the equation we get:

-2 = (1/6)*6 + b

-2 = 1 + b

-2 - 1 = -3 = b

Then the equation of the line is:

y = (1/6)*x - 3

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Help pls
Stuck on this question ​

Help plsStuck on this question

Answers

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Please can anybody help me with this? A card is randomly selected from a standard 52-card deck. What is the probability of picking a club OR a face card? Answer needs to be in decimal form rounded to two decimal places.

Answers

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

I need help!! Please help me

I need help!! Please help me

Answers

18+x+x=180
180-18=162
162/2=81

X=81

Triangles always have a total of 180 degrees and the angles have the same variable which means they are the same number.

Can somebody help me?
Square ABCD is graphed in the xy- plane with origin O. A transformation maps ABCD onto A'B'C'D'.


In the following table, consider the congruence statement listed in each row together with the type of transformation listed in each column.


Select each cell for which the congruence statement must be true for the type of transformation.

Answers

The transformation from ABCD onto A'B'C'D' is a rigid transformation

How to determine the congruent statements

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

A transformation maps ABCD onto A'B'C'D'

In order for a transformation to map square ABCD onto square A'B'C'D', certain congruence statements must be true.

The corresponding sides of ABCD and A'B'C'D' must have the same length i.e. AB = A'B', BC = B'C', CD = C'D', and DA = D'A'.The corresponding angles of ABCD and A'B'C'D' must have the same measure i.e angle A = angle A', angle B = angle B', angle C = angle C', and angle D = angle D'.

The above explanation is a general solution, as there are missing detailes in the question

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Solve g(x) = 22 + 12x – 5. Submit the sum of your solutions

Answers

Answer:

-17/11

Step-by-step explanation:

what is the slope of the line that passes thru (7,-6) and (6,-6)

Answers

The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.

Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.

Let the slope of the line joining A (7,-6)  and B(6,-6)  be m.

We know that the slope of a line is given by:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope of the line

= (6-7) / (-6+6)

= -1 / 0

= undefined

Since the slope is undefined we can say that the straight line is parallel to the y axis.

we know that tan 90° = ∞

So any line parallel to this line will have the same slope as the y axis.

Hence the slope of the given line is undefined or infinity.

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What Is 55 > -7x + 6 ?

Answers

Answer:

x>−7

Step-by-step explanation:

55−6>−7x

49>−7x

​7

​49

​​ <x

−7<x

x>−7

8. What is the next term in the pattern 32 = 9, 92 = 81, 812 = 6,561....? F. 324 + 2 = 326 H. 6,5612 = 43,046,721 G. 324 x 1 = 324 I. 324 x 2 = 648

Answers

6561 = 6561^2

= 43046721

Find the Value of Y.

Find the Value of Y.

Answers

The value of y in the triangle is 2√10 units.

How to find the side of similar triangle?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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What is the answer please help i need it now!!


What is the answer please help i need it now!!

Answers

Answer:

y=1/2x+11

Step-by-step explanation:

use the slope of one half and the point and put them into point slope form.

y-y1 = m(x-x1) or y-16 = 1/2(x-10), distribute 1/2

y-16=1/2x - 5, add 16 to both sides

y = 1/2x + 11

What is the equivalent to the product below when x>_0?
√5x² •√15x²

Answers

To simplify the product √(5x²) • √(15x²) when x ≥ 0, we can combine the square roots and simplify the expression.

√(5x²) • √(15x²) = √(5x² * 15x²)

Using the property of square roots that √(a * b) = √a * √b, we can simplify further:

√(5x² * 15x²) = √(5 * 15 * x² * x²)

Next, we simplify the numerical part:

√(5 * 15 * x² * x²) = √(75 * x² * x²)

Since x ≥ 0, x² is always non-negative, so we can remove the square root:

√(75 * x² * x²) = x * x * √75

Finally, we simplify the square root of 75:

x * x * √75 = x² * √75

Therefore, the equivalent expression is x² * √75 when x ≥ 0.

You are really excited to have found a Puch Maxi Moped from the mid Eighties, and the spring weather is making you want to get out and ride it around. It doesn't run on straight gasoline, you have to mix the oil and gas together in a specific ratio of 2.4 fl. oz. of oil for every gallon of gasoline.
You have 3.75 gallon of gas. How much oil should you add?

Answers

Answer:

Step-by-step explanation:

You should add 9 fl. oz. of oil to your 3.75 gallons of gas.

Puch Maxi Moped from the mid-Eighties now since this moped doesn't run on straight gasoline, you need to create a special fuel mixture. This involves combining oil and gas in a specific ratio. The magic ratio here is 2.4 fl. oz. (fluid ounces) of oil for every gallon of gasoline.

You mentioned you've got 3.75 gallons of gas. To figure out how much oil you need, we can use some math. First, let's find out how much oil is required for one gallon of gas:

2.4 fl. oz. of oil/gallon x 1 gallon = 2.4 fl. oz. of oil.

So, for 3.75 gallons of gas, you'll need:

2.4 fl. oz. of oil/gallon x 3.75 gallons = 9 fl. oz. of oil.

You should add 9 fluid ounces of oil to your 3.75 gallons of gas to create the proper fuel mixture for your Puch Maxi Moped.

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A distribution with three or more peaks is said to be

Answers

When a distribution has three or more peaks then it is said to be a multimodal distribution .

What are the types of distributions ?

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Help help i need help asp please i do not understand it see photo please

Help help i need help asp please i do not understand it see photo please

Answers

Answer is commutative property of multiplication

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 21+ Zw = 16, where I
represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of
the rectangle?
O 7 in.
O 8 in
9 in.
10 in

Answers

Answer:

  7 in

Step-by-step explanation:

The sum of length and width is 16/2 = 8 inches. This means the length could be any value between 0 and 8 inches.

If it is 0 or 8 inches, then the area of the rectangle is 0, and its figure is indistinguishable from a line segment 8 units long.

We assume you want your rectangle to have non-zero area, so the appropriate choice is 7 inches.

Plzzz help worth have of my grade will give brainliest and I only want answers from 8th grade or up

Plzzz help worth have of my grade will give brainliest and I only want answers from 8th grade or up

Answers

Answer:

15 dollars

Step-by-step explanation:

you go to the very top of '99 and see where you fall in between 16 and 14

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