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


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Answers

Answer:

Uhhhh what?

Step-by-step explanation:

I am confused...

아주 혼란스러워요. 그게 무슨 말이죠? ㅋㅋㅋ

A textbook store sold a combined total of 392 physics and psychology textbooks in a week. The number of physics textbooks sold was three times the number of psychology textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

Psychology textbooks = 98 and physics textbooks = 294

Step-by-step explanation:

Let there are x psychology textbooks sold.

No of physics textbooks sold = 3x

ATQ,

A textbook store sold a combined total of 392 physics and psychology textbooks in a week.

x + 3x = 392

4x = 392

x = 98

It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.

What is the next term in this arithmetic sequence?
11, 8, 5, 2,...
0-3
06
05

Answers

Answer: the next term is -1

whoever knows what 9+10 is i will reward them

Answers

Answer:

19

Step-by-step explanation:

Johnny divided 3 1/2 x 4 what number did he get

Answers

Answer:

14

Step-by-step explanation:

3 1/2= 3.5

so...

3.5*4=14

Answer:

14

Step-by-step explanation:

7 / 2 × 4

7 × 2

14

hope it helps!

please help!! i need someone to write me an equation for this please!

Answers

It could be 30° - 3d ≤ 20° in my opinion

6. A ball is selected at random from a bag containing
3 red balls, 4 black balls and 5 green balls. The
first ball is replaced and a second is selected. Find
the probability of obtaining:
(a) two red balls,
(b) two green balls.

Answers

Answer:

two green balls

Step-by-step explanation:

because of many reasons boy

Answer:

a. 1/16   b. 25/144

Step-by-step explanation:

Since the bag does not change each time, the probability stays the same. To get the desired outcome both times, we must square the probability.

Slope for (5,-5) (3,5)

Answers

Answer:

-5

Step-by-step explanation:

5-(-5)/3-5=10/-2=-5

(can I get brainliest please)

5x+-30. I hope it helped

An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool hold? Round your answer to the nearest tenth.

Answers

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = [tex]\frac{2500000}{3.785}[/tex]

Gallons of water in pool = [tex]660501.9[/tex] gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

PLS HELP BRAINLIST and 100 POINTS

The diagram below shows a boat and a scuba diver that is approximately 40 feet below the boat. The top of the flagpole on the boat is 15 feet above the surface of the water. The elevation of the surface of the water is 0 feet. Which number represents the elevation of the scuba diver?

A. –55 ft
B. –40 ft
C. 40 ft
D. 55 ft

Answers

Answer:

B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40

the answer is -40 pretty sure

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.



How much was the tip in dollars?

Answers

Answer;

7.77

Step-by-step explanation:

If the equation 5(3x + 7) – 1 = 3(52 + k) + 4 has infinitely many solutions, what is the value of k?

Answers

Answer:

k = 5x - 42

Step-by-step explanation:

Suppose the sample space for a continuous random variable is 0 to 8. If the area under the density curve for the variable from 0 to 5 is 0.625, what is the area under the density curve from 5 to 8?

Answers

Answer:   0.375

========================================================

Explanation:

The portion from x = 0 to x = 5 has area 0.625, so 62.5% of the total area is accounted for. The remaining 100% - 62.5% = 37.5% of the total area must be in the remaining portion from x = 5 to x = 8. Convert 37.5% to decimal form to get the answer 0.375

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

Another approach

We have two disjoint areas under a curve. The two areas must add to 1. Let A be the unknown area

So,

0.625+A = 1

A = 1-0.625

A = 0.375

The area under the curve from x = 5 to x = 8 is 0.375

Given the side lengths of 20,23 and 41, determine whether the triangle is acute, right, obtuse, or not a triangle.

Answers

Answer:  Obtuse triangle

=====================================================

Explanation:

In this case, a triangle is possible since adding any two sides leads to a sum larger than the third side

20+23 = 43 is larger than 4120+41 = 61 is larger than 2323+41 = 64 is larger than 20

I'm using the triangle inequality theorem here.

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

To determine what kind of triangle we have, we'll use the converse of the Pythagorean theorem. Specifically, we'll use a corollary of it.

Consider a triangle with sides a,b,c. Let c be the longest side.

We have three possible cases:

If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then the triangle is acute.If a^2+b^2 < c^2, then the triangle is obtuse.

For this problem, we have a = 20, b = 23, c = 41.

We see that a^2+b^2 = 20^2+23^2 = 929 and c^2 = 41^2 = 1681.

In short, a^2+b^2 = 929 and c^2 = 1681.

Since 929 < 1681, this means a^2+b^2 < c^2.

Therefore, this triangle is obtuse.

Complete this item.
Identify _1 and 22. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical,
complementary, supplementary.

Answers

Answer:

Angle 1 is obtuse, and adjacent. Angle 2 is obtuse, and is also adjacent.

Step-by-step explanation:

Both seem to be obtuse since they're not right triangles, and they're both adjacent because they have two angles that share the same vertex. Hope this helped :)

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