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

Find the value of x in each figure. B 9. - 15 2x A C​

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The answer is 2 because it says 2x
The answer is 2 I believe

Find the missing side ?

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Answer:

37

Step-by-step explanation:

Since the Boston marathon began in 1897, the finish time has been incrementally decreasing. The mean finish time to date is 231 minutes with a standard deviation of 40 minutes. Based on this information, what would allow us to use a Z-score in order to construct a confidence interval to estimate the mean finishing time of the most recent Boston Marathon with a sample size of 40 participants. Choose all that apply.

Answers

Answer:

hello your question lacks the required options but i will provide a general answer to your question

answer : The mean value  and the standard deviation would allow us use a Z-score

Step-by-step explanation:

mean value = 231 minutes

standard deviation ( std ) = 40 minutes

sample size = 40

The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation

This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations

+Zscore means that the score  is above the average value

-Zscore means that the score is below the average value

!!HELP!! What is q times 10?

Answers

Answer:

Q10. You just put them together because it's multiplying of a letter and a number

**I thought I answered this question yesterday, is this a deja vu or something**

Need help ASAP! I'll mark brainlyist

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Step-by-step explanation:

(2+5i) equation goes to -20

(4+I) equation goes to -1

(3+2i) equation goes to 10

and the last one goes to 16

Using the triangles shown below, explain how the ASA congruence criteria follows from the definition of congruence in terms of rigid motions.

Answers

Answer:

I have this question too

Step-by-step explanation:

All i know is that the ASA shows that even when they are rotated or translated due to rigid motions, they are still congruent because it shows that the angles and sides are equal.

What is the area of triangle ABC if a = 10 (degrees), B = 22 (degrees), and C = 70 (degrees) please help me.
A. 454.32 Sq Units
B. 103.37 Sq Units
C. 1.76 Sq Units
D. 17.61 Sq Units

Answers

Answer:

D. 17.61 square units

Step-by-step explanation:

To find the area of the ∆ABC, we can apply the formula below:

Area of ∆ABC = ½×a×c×sin(B)

a = 10

c = ??

B = 22°

Let's find c using Sine Rule:

Thus:

[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]

Where,

a = 10

c = ??

A = 180 - (22 + 70) = 88°

C = 70°

Plug in the values

[tex] \frac{10}{sin(88)} = \frac{c}{sin(70)} [/tex]

Multiply both sides by sin(70)

[tex] \frac{10}{sin(88)} \times sin(70) = \frac{c}{sin(70)} \times sin(70) [/tex]

[tex] \frac{10 \times sin(70)}{sin(88)} = c [/tex]

[tex] 9.4 = c [/tex] (nearest tenth)

✔️Area of ∆ABC = ½×a×c×sin(B)

Plug in the values

Area of ∆ABC = ½ × 10 × 9.4 × sin(22)

Area = 17.61 square units (nearest tenth)

​Which of the numbers shown in the box below is the ​largest? ​​ 19/3, 31/5, 13/2, 25/4 pls help urgent

Answers

Answer: i think they are all the exact same 6 with a remainder of 1

Step-by-step explanation:

A block of ice has a square top and bottom and rectangular sides. At a certain point in
time, the square top and bottom each have a length of 30 cm, which are decreasing at a
rate of 2 cm/h. At the same time, the height of the ice block is 20 cm and decreasing at
3 cm/h. How fast is the ice melting?

Answers

Answer:

[tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h[/tex]

Step 2: Differentiate

Rewrite [VRP]:                                                                                                 [tex]V = l^2h[/tex]Differentiate [Basic Power Rule]:                                                                         [tex]\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}[/tex]

Step 3: Solve for Rate

Substitute:                                                                                                           [tex]\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)[/tex]Multiply:                                                                                                               [tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

which expession is equivalent to negative 2 1/4 over nagative 2/3​

Answers

Answer:

Ahhhhhjhhhjhhhh

Step-by-step explanation:

How that helps ;)

determine if the triangles are congruent, if so, state the theorem

Answers

Angle-Angle-Side is the congruence theorem.

Answer:

last

Step-by-step explanation:

Is Angle Angle Side bacause you have

two vertical angle ≅ (A)

two 90° angles ≅(A)

two sides given ≅ (S)

Best answer gets brainiest. Katie's math class starts at 10:15 A.M. and lasts for 1 hour and 55 minutes. After math class, Katie has recess for 35 minutes. What time does Katie's recess end?

Include A.M. or P.M. in your answer.

Answers

Answer:

12:45 PM

Step-by-step explanation:

First, add the time of the math class:

10:15 AM + 1 hour

= 11:15 AM

11:15 AM + 55 minutes

= 12:10 PM

Then, add the time of recess:

12:10 PM + 35 minutes

= 12:45 PM

So, her recess ends at 12:45 PM

Answer:

Recess Ends at 12:45 PM

Step-by-step explanation:

10:15 + 1 hour and 55 minute= 12:10 PM

12: 10+ 35 min= 12:45 PM

Plz help with question

Answers

Answer:

x=25 and c=75

Step-by-step explanation:

(x+5)+(3x)+c=180

x+5+3x+c=180

x+3x+c=175

4x+c=175

c=-4x+175

c=3x

-4x+175=3x

175=7x

x=25

c=3x

c=3(25)

c=75

Which set of fractions is ordered from least to greatest?

A
five over eight, eight over twelve, three over four

B
eight over twelve, five over eight, three over four

C
three over four, five over eight, eight over twelve

D
five over eight, three over four, eight over twelve

Answers

Answer:

get the best i can and get you a good friend of yours to go with the other side and the first thing I think you have a lot

The answer is C

(3/4, 5/8, 8/12)

I hope this helped out, have a nice day :)

Please help!!! I will make brainliest

Answers

This is correct mark me

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

How do you write 22over5 in this

Answers

Answer:

00004.40 if you need to fill in every box. If not, 4 in front of the decimal, and a 4 after.

if f = 3, g = -4 and h = -5
[3-h]+13

Answers

21 is the answer because -5 becomes a positive since it’s 3-(-5)
The answer is 21 for sure

Determine whether the relationship is a function. Complete the explanation.


(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Answers

Answer:

the relationship is not a function

Step-by-step explanation:

it's not a function because two of the domains are the same.

The relationship represented by these ordered pairs is not a function.

We have,

To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).

If there is any x-value that is associated with multiple y-values, then the relationship is not a function.

Let's analyze the given set of ordered pairs:

(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Here, we can see that the x-value 8 is associated with both y-values 8 and 7.

Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).

In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.

Thus,

The relationship represented by these ordered pairs is not a function.

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What do you think about this. Please I need help

Answers

Answer:

D

Step-by-step explanation:

Since its talking about INCREASING your numerators (The top of the fraction) would need to be adding up

YASSSSSSSSSSS
HELPPPPPPP A SISTA OUT
LoL

Answers

ITS 8 SPECIES AHHHH GIRL I GOTCHU

Answer:

8 are from South Africa

Step-by-step explanation:

1/4 + 5/8

2/8 + 5/8

1-7/8= 1/8

1/8 of 64 is equal to 8

What is the solution set for 2x – (x + 5) < 3x – 9 ?

Answers

Answer:

x > 2

Step-by-step explanation:

x - 5 < 3x - 9

x - 5 + 5 < 3x - 9 + 5

x < 3x - 4

x - 3x < 3x - 4 - 3x

-2x < -4

(-2x)(-1) > (-4)(-1)

2x > 4

2x/2 > 4/2

x > 2

Answer:

x > 2.

The solution in interval notation is (2, ∞).

Step-by-step explanation:

2x - (x + 5) < 3x - 9

2x - x - 5 < 3x - 9

2x - x - 3x < -9 + 5

-2x < -4

Divide both sides by -2

x > 2    (Note that the sign flips because we are dividing by a negative)

What is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

Answers

Answer:

D

Step-by-step explanation:

7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

What is Fraction?

A fraction represents a part of a whole.

We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)

(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4

11x-38=A(x-4)+B(2x-5)

11x-38=Ax-4A+2Bx-5B

We need to find the values of A and B

Compare the coefficients of x

11=A+2B

A=11-2B

Compare the constants

-38=-4A-5B

-38=-4(11-2B)-5B

-38=-44+8B-5B

-38=-44+3B

-38+44=3B

6=3B

Divide both sides by 3

B=2

Now A=11-2(2)=7

Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

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A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)



Group of answer choices

y-8=(-2/7)(x+8)

y+8=(-2/7)(x-8)

y-4=(-2/7)(x-6)

Answers

Answer:

y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)

Step-by-step explanation:

Point slope form equation: y - y₁ = m(x - x₁)

m is the same for all your answer choices, so you can disregard that part.

First point: (-8,8)

x₁ = -8; y₁ = 8

Plug those values into the point slope form equation and you get:

y-8=(-2/7)(x+8)

Do the same for the second point, and you get:

y-4=(-2/7)(x-6)

Answer:

first and third options

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]

using (a, b ) = (- 8, 8 ), then

y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is

y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option

using (a, b ) = (6, 4 ), then

y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option

Use the following function rule to find f(-7).
f(x) = 9x - 7
O 70
O-56
0 -70
56

Answers

The correct answer is -70 if you substitute in -7 for c the equation will be = -63 -7 = -70

11) It takes you 15 minutes to frost a 2 layer cake. You and a friend have 100 1 point
cakes to frost for the church bake sale. How many hours will it take the two
of you to frost all of the cakes if you work at the same time rate? Hint: It
takes you 15 minutes to frost one cake, you can frost 4 cakes in 1 hr. *
B. 8 hours
O c. 12.5 hours

Answers

Answer:

12.5 hours

Step-by-step explanation:

100/4=25

25/2=12.5

Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td

Answers

Answer:
B) E = 2t + 2d

Explanation:
t and d are being multiplied by 2 for the amount of work done by each.

Which equation describes the function whose y-intercept is 6 and whose
graph has slope 2?
HELPP

Answers

Answer:

y=2x+6

slope intercept form: y=mx+y-intercept

m=slope

Show distributive property steps to evaluate 9 · 67 ?

Answers

Answer:

603

Step-by-step explanation:

We are given the expression:

9*67

Evaluating the expression:

We can write 67 as (60+7). So, we can rewrite the given expression as:

9*(60+7)

Using the distributive property:

(9*60) + (9*7)

540 + 63

603

If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M). Express your answer as a set in the roster form: i.e. {a,b,c...}.

Answers

Answer:

Step-by-step explanation:

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

The answer is,

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

What is set?

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

here. given that,

U is the set of all multiples of 3 less than 20,

i.e. U={3,6,9,12,15,18}

and M={3,12,18},

Mc (the complement of M),

i.e. M'={6,9,15}.

Hence, we get, U={3,6,9,12,15,18} ,  M={3,12,18} & M'={6,9,15}.

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what is the least common denominator for 2/5 and 3/2​

Answers

Answer:

4/10

Step-by-step explanation:

⅖ = 4/10

3/2 = 15/10

The common denominator is 10.

The answer to the question is 10.

The least common denominator (LCD) is the most smallest number that can be a shared factor for a set of numerals. We see here the LCD is 10 because both fractions have a denominator of 10.

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