Esther had five times as many cards as Richard. Esther gave 1/4 of her cards to Richard. Then, Richard gave 1/6 of his cards to Esther in return. In the end, Esther had 90 more than Richard. How many cards did Esther have at first?

Answers

Answer 1

Answer:

Esther has 200, Richard has 40

Esther gives Richard 50 cards. Now they have

Esther: 150, Richard: 90

Richard gives Esther 15, so they now have

Esther: 165, Richard 75

Step-by-step explanation:

Answer 2

Answer:

Esther had 200 cards at first

Step-by-step explanation:

Variables:

  Esther:  5r

  Richard:  r

Equalities:

  e = 5r

  e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

Solve:

  Replace e with 5r and solve for r:

        e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

     5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90

        5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90

            5r - 1.25r + 0.375r = 1.875r + 90

            5r - 1.25r + 0.375r - 1.875r = 90

                                             2.25r = 90

                                                     r = 40

  Esther:  5r = 5(40) = 200

  Richard:  r = 40


Related Questions

Help Please, im stuck on this question.

Answers

Answer:

irrational

Step-by-step explanation:

3/4 + sqrt(2)

3/4 is rational

sqrt(2) is irrational

The sum of a rational and an irrational number is irrational

Look at this table:
х
у
-19
2
2
11
8
16
Is this relation a function?
yes
no

Answers

Answer:

The answer is No

Step-by-step explanation:

Answer:

no because it has two of the same x values

Find does angles
Help pls I have 15 min only .

Answers

Answer:

22 for x 45 for 4x+3 36 for 3x+2

Step-by-step explanation:

Trust me this is easy

Answer:

4x+2 =90°

3x+2=68°

x=22

Step-by-step explanation:

The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.

Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?​

Answers

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

[tex]c(x) = 600x {}^{2} + 300x[/tex]

monthly revenue:

[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]

profit function:

[tex]p(x) = r(x) - c(x)[/tex]

[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]

i) remove the first bracket

[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]

iii) collect like terms

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]

iv) simply the like terms

[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]

please help me<3
i will give brainliest to the right answer

Answers

Answer:

26.5

Step-by-step explanation:

Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5

Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.

Answers

Answer:

Give me sum

Step-by-step explanation:

Answer:

Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.

Step-by-step explanation:

The data below gives the mean price (in cents) of a liter of regular gasoline at self-service filling stations at a sample of six urban centers in Canada in May 2011.

Urban area Price/liter
St. John, NL 137.1
Halifax 133.6
Montreal 136.2
Regina 132.3
Saskatoon 132.2
Yellowknife 138.9

Required:
a. Find the sample mean (in cents).
b. Find the sample standard deviation (in cents).
c. Find a 90% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval.
d. Find a 95% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval.

Answers

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

= 810.3 / 6

= 135.05

Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)

I need 1 more credit to pass my class!

Answers

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?

Answers

Answer:

B

Step-by-step explanation:

The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)

Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,

f(x) vertically streched by a factor of2  first, Therefore,

g(x) = 2f(x)

      = 2x²

Now, the function g(x) is moved up by 15 units, therefore,

h(x) = g(x) + 15

      = 2x² + 15

Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.

Learn more about Transforming functions:

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What do I do?????????

Answers

First you need to find out how many people there are. If it is her and her two sisters, this is 3 people.

Divide 21 by 3

21/3

Which gives you

7

This means they each got $7 to spend.
Hope this helps!

Answer:

7

Step-by-step explanation:

So its three girls and each of them get the same amount. All you really have to do is divide 21 by 3 which is 7.

They each get to spend $7.


The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...

6.2

O 6.4

O 1.4


which one ?​

Answers

The weighted average of 4 entered numbers is 6.4286 so its b 6.4

Find the distance across the bridge

Answers

Answer:

32.5 ft

Step-by-step explanation:

Answer:160

Step-by-step explanation:

I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge

Ehehejejrjrjejejrjrjtjtjrjrje

Answers

Answer:

?

Step-by-step explanation:

shvwhehdjdjdnbddvbxnxjjxjdjdnbdnekskdjdjnebeeekekkenenennenemskkddkejennene hope this helps :3

In order to redress a gender imbalance in its workforce, a company needs to appoint men and
women in the ratio 4:5. Over the next year 90 new jobs are expected to be advertised. How many
of the appointees should be men, and how many women?

Answers

Answer:

40 men 50 women

Step-by-step explanation:

4/9 should be men, 5/9 should be women.

what's the area of the quadillateral​

Answers

Answer:

The area of the quadillateral is 360 degree.

Step-by-step explanation:

Hope this helped!

Have an amazing day!

In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000

Answers

$143,699,010

use the calculator

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim

Answers

Answer:

Claim cannot be rejected

Step-by-step explanation:

We solve this by using hypothesis testing

H0: mean = 40

H1: mean ≠ 40

We have samples of 30, but we were not gives the population standard deviation. We used the t distribution

T score = 39.2-40/(7.5/√30)

= -0.5842

Degree of freedom = 30-1 = 29

Then p value = 0.5636

In conclusion, we fail to reject the null hypothesis since 0.5636 > 0.01 significance level.

So company's claim cannot be rejected

How to solve this problem

Answers

Answer:

Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Step-by-step explanation:

We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i

Prime factors of 81 are: 3x3x3x3

and [tex]\sqrt{-1}=i[/tex]

Solving:

[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]

So, Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

|7-8| • 4 + 3 (-1) ???????

Answers

Answer:

1

Step-by-step explanation:

|7-8| • 4 + 3 (-1) =

= |-1| • 4 + (-3)

= 1 • 4 - 3

= 4 - 3

= 1

PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!

Answers

Answer: can it be a bit clearer pls?

Step-by-step explanation:

PLEASE HURRY) The graph indicates the running route for Tobias

Which best describes his run

A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.

Answers

Answer: B. From time 6 to 10, he was at his slowest.

Step-by-step explanation: I just took the same quiz so HURRY!!!

Answer:

b

Step-by-step explanation:

A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.

Answers

Answer: 0.79758

Step-by-step explanation:

Given that :

Mean (m) = 2.5

Variance = 0.36

Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6

The probability of the random variable having a value less than 3 is obtained by:

P(x < 3)

Using the relation to obtain the standardized Zscore :

Z = (x - m) / s

Z = (3 - 2.5) / 0.6

Zscore = 0.8333333

p(Z < 0.833) = 0.79758 ( Z probability calculator)

The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6

Answers

Answer:

The mode is the value that appears most frequently in a data set

Step-by-step explanation:

so it will be 0 and 5

Answer:

0 and 5

explanation:

need answer thanks!!!!!!!

Answers

Step-by-step explanation:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

What is the vertex of the following: y=1/4x^2+2x+6

Answers

Answer:

Yea i definitly just lost brain cells

Step-by-step explanation:

Drag the item from them item bank to its corresponding match


Will mark brainless

Answers

Answers, in order:

1. Acute

2. Congruent

3. Supplementary angles

4. Vertical angles

5. Adjacent angles

6. Adjacent supplementary angles

7. Alternate interior angles

8. Alternate exterior angles

9. Consecutive interior angles

10. Corresponding angles

11. Straight angle

I’ll mark brainliest please help with all and leave a small explanation! :)

Answers

Answer:

A y=6 x= 3

B y=4 x= 2

C y=6 x= 2

D x= 4 y= -2

Step-by-step explanation:

you need to add the numbers on and look how many once u do thag u can see the pattern it makes

7.) Caleb ran 240 yards. Which answer choices are equivalent to the distance
he ran?
A. 20 inches
B. 2,880 inches
C. 8,640 inches
D 80 feet
E 720 feet

Answers

Answer:

720 feet

Step-by-step explanation:

If you convert 240 yards to feet you get 720 feet. You're welcome! :)

Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?

Answers

Answer:

Price of tne Vest + $40 - 1.40 = $38.6

Step-by-step explanation:

3.5% * n = $1.40

0.035 * n = $1.40

0.035/0.035 * n = $1.40/0.035

n = $40

The price of the vest not including the tax is, $40

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products

Now,

Let p = price of a vest

Hence, from the question, this equation can be formed,

⇒ 35% of p = $1.40

⇒ 0.035 x p = $1.4

divide both sides of the equation by 0.035;

⇒ p = $40

Thus, The price of the vest not including the tax is, $40

Learn more about the percent visit:

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Complete question is this;

Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%

Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?

A.
2
B.
4
C.
8
D.
48

Answers

Answer: It's A. 2.

Step-by-step explanation:

Answer:

its not a

Step-by-step explanation:

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