Bert has three times as much money as Ernie. If Ernie spends $6 on a new rubber ducky, then Bert will have five times as much money as Ernie. How much money does Bert have?

Answers

Answer 1

Answer:

Bert has $45.

Step-by-step explanation:

I have no real strategy, except for that I used guess and check. How did I do this? Well, since I am in 5th Grade, I don't know algebra very well, so I made an organized chart and checked all the numbers that had to be a multiple and  could be divided equally by 5, 3 and when a third of that number was subtracted by 6, it was a fifth of the orginal number. Thats how I got 45.

Checking this answer:

It is always important to check your answer after finishing the problem, so this is how I checked my answer:

1. 45 divided by 3 = 15

2. 15 - 6 = 9, and 9 is 1/5 of 45

Bert has $45.


Related Questions

Complete the statement. Round to the nearest hundredth if necessary
14 m to ft
The answer is not 45.93 or 46.

Answers

Answer:

[tex]45.9[/tex]

Step-by-step explanation:

Remember that the hundredths place value is the second number after the decimal point and to round that number has to be greater than five in order to round up.

[tex]1m=3.28084[/tex]

[tex]3.28084\times14=45.93176[/tex]

Hundredths place value = 3

Round:

[tex]3<5[/tex]

[tex]=45.9[/tex]

Hope this helps.

Lianne is saving to buy a DVD player that costs 2 1\2 times her weekly allowance. If she spends 3\4 of her allowance on other things, how long will she take to save the money for the DVD player?

Answers

Answer:

She will take 10 weeks to save the money for the DVD player

Step-by-step explanation:

Let w = Lianne's weekly allowance.

The DVD player costs 2 1/2 times her weekly allowance, thus

DVD cost = 5/2w

She gets w every week but spends 3/4w on other things, thus the remaining money is

Weekly savings =w - 3/4w = 1/4w

To know the number of weeks needed, we divide the DVD cost by the weekly savings:

[tex]\displaystyle N = \frac{\frac{5}{2}}{\frac{1}{4}}[/tex]

Operating:

[tex]\displaystyle N = \frac{5}{2}*\frac{4}{1}[/tex]

N = 10

She will take 10 weeks to save the money for the DVD player

What is the equation in slope-intercept form that passes through the points (-4, 47) and (2, -16)?

Answers

Answer:

y = 10.5x - 37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

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

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-4, 47)

Point (2, -16)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-16-47}{2+4}[/tex]Subtract/Add:               [tex]m=\frac{63}{6}[/tex]Simplify:                        [tex]m=\frac{21}{2}[/tex]

Step 3: Find y-intercept b

Define:                    y = 21/2x + bSubstitute:              -16 = 21/2(2) + bMultiply:                  -16 = 21 + bIsolate b:                 -37 = bRewrite:                   b = -37

Step 4: Write linear equation

Combine all parts.

y = 21/2x - 37

y = 10.5x - 37

And we have our final answer!

Joseph is making kebabs. He wants each kebab to have 3 pieces of meat and 4
pieces of vegetables.
Which of the following could Joseph use to make kebabs without any leftovers?

Answers

Answer:

Option D.

Step-by-step explanation:

From your comment, you said D was 30 pieces of meat and 40 pieces of vegetables. The starting ratio is 3:4. A true proportion is 3:4::30:40. 3 and 4 are both multiplied by 10 to get 30 and 40 therefore there would be no leftovers.

Hi. Please I need help with these questions.
It's urgent .
No jokes. This time
Answer No 14

Answers

9514 1404 393

Answer:

  21x² +20x +100 = 0

Step-by-step explanation:

We know the sum of the roots of x² +bx +c = 0 is -b, and their product is c. If the roots are α and β, then ...

α+β = -bαβ = c

The sum of the roots of the new equation will be ...

  -b' = (α+1/β)+(β+1/α) = (α+β) +(1/α +1/β) = (α+β)(1 +1/(αβ))

The product of the roots of the new equation will be ...

  c' = (α+1/β)(β+1/α) = αβ +2 +1/(αβ)

Using the above relations for (α+β) and αβ, we find that ...

  -b' = (-b)(1 +1/c)

  c' = c + 2 + 1/c

For the given equation, our definition of b and c is ...

  b = 2/3

  c = 7/3

so the new equation has values ...

  b' = (2/3)(1 + 1/(7/3) = (2/3)(10/7) = 20/21

  c' = 7/3 + 2 + 1/(7/3) = 13/3 + 3/7 = 100/21

So, the equation with the roots of interest is ...

  x² +20/21x +100/21 = 0

Multiplying by 21 gives ...

  21x² +20x +100 = 0

what equation is equivalent to -12+(-4/5)+31

Answers

Answer: -12 + (4/5) + 31 = 18.2

Please help this is due today

ABDE is an isosceles trapezoid. Name one pair of congruent triangles that could be used to show that the diagonals of an isosceles
trapezoid are congruent.

Answers

9514 1404 393

Answer:

ΔABE, ΔBADΔAED, ΔBDE

Step-by-step explanation:

Each diagonal divides the figure into two triangles. Either could be used with its counterpart to show congruence of the diagonals.

ΔABE and ΔBAD, orΔAED and ΔBDE


The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg
is one less than the hypotenuse.
What is the length of the hypotenuse? *
What is the perimeter of the triangle?

Answers

Answer:

b

Step-by-step explanation:

What is the less of side a? Round to the nearest tenth of an inch.

Answers

Answer:

About 14 in the exact value is 14.38 smthn

I don’t understand slopes at all! Can someone please help?Write an equation in slope-intercept form for a line that goes through the points (-3, 5) and (2, 8).

Answers

Answer:

Step-by-step explanation:

y2-y1

x2-x1=

y=mx+b

8-5

2+3=

3/5 = slope

b=0

y=3/5x

f(4) if f(x)=-3+15 ?

Answers

Answer:

12

Step-by-step explanation:

f(4) means that we need to substitute 4 into x to get

f(4) = -3 + 15

and -3 + 15 = 12

Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?

Answers

Answer:

15:20=3:4

Step-by-step explanation:

what situations can be modeled with fraction multiplication and division

Answers

what are the answer choices ??

In 2020, a town was recorded as having a population of 10,000 and is predicted to grow at 5% every year. What will be the population in 2035, to the nearest whole number? *

Answers

Answer:

20789

Step-by-step explanation:

The equation of exponential growth is y=A(1+r)^t

A=10,000

r (rate)=0.05 (5% as a decimal)

t (time)=15 (2035-2020=15)

y=10,000(1+0.05)^15

y=20789.2817

you can't have part of a person, so y=20789

Amani is mailing packages. Each small package costs her $3.40 To send. each large package costs her $4.30. how much will it cost her to send six small packages and seven large packages?

Answers

Answer:

the answer is $50.50,

Answer:50.50

Step-by-step explanation:

A movie theater sends out a coupon for 75​% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.

Answers

Answer:

x divided by 75% = y

Step-by-step explanation:

Answer:

0.25x

Step-by-step explanation:

Not what the guy on the top said.

dont put anything random plsi ned

Answers

Answer:

I'll go from the top row and then do the bottom row from left to right. I put the letters next to them too if that makes it any easier.

Step-by-step explanation:

First one is already done

Second one:

Slope: -3 ( letter O)

Y-intercept: (0,4) (letter N)

Third One:

Slope: 2/3 ( letter P)

Y- intercept: (0,-3) (letter J)

Fourth One:

Slope:-1/2 (letter M)

Y-intercept: (0,3) (letter F)

Fifth one: ( first one on second row)

Slope: 1 ( letter i)

Y-intercept: (0,2) (letter S)

Sixth one:

Slope: -1/3 ( letter D)

Y-intercept: (0,-2) (letter B)

seventh one:

slope: 1/4 (letter E)

y-intercept: (0,-4) (letter H)

eighth one:

Slope:2 ( letter G)

Y-intercept: (0,0) ( letter A)

Hopefully these are all correct and it's not too confusing :)

A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second contains 35 % and the third contains 65 % . He wants to use all three solutions to obtain a mixture of 72 liters containing 45 % acid, using 2 times as much of the 65 % solution as the 35 % solution. How many liters of each solution should be used?

Answers

Answer:

18 liters 15% acid

18 liters 35% acid

36 liters 65% acid

Step-by-step explanation:

Let's say x is the volume of 15% acid, y is the volume of 35% acid, and z is the volume of 65% acid.

x + y + z = 72

z = 2y

The amounts of acid add up to the final amount.

0.15x + 0.35y + 0.65z = 0.45 (72)

Substitute the expression for z into both equations.

x + y + 2y = 72

0.15x + 0.35y + 0.65 (2y) = 0.45 (72)

Simplify:

x + 3y = 72

0.15x + 1.65y = 32.4

Solve for x in the first equation, then substitute into the second.

x = 72 − 3y

0.15 (72 − 3y) + 1.65y = 32.4

Solve for y.

10.8 − 0.45y + 1.65y = 32.4

1.2y = 21.6

y = 18

Now find x and z.

x = 72 − 3y = 18

z = 2y = 36

18 liters 15% acid, 18 liters 35% acid and 36 liters 65% acid should be used.

What is percentage?

Percentage is a measurement to find the value of a given number out of a hundred.

Let x is the volume of 15% acid, y is the volume of 35% acid, and z is the volume of 65% acid.

Given that, the total mixture is 72 liters,

Implies that,

x + y + z = 72

Also,65% solution is used two times as 35% solution is used.

z = 2y

The amounts of acid add up to the final amount.

0.15x + 0.35y + 0.65z = 0.45 (72)      

Substitute the value of z here,

0.15x + 0.35y + 0.65 (2y) = 0.45 (72)

Simplify

x + 3y = 72

0.15x + 1.65y = 32.4      

Solve for x in the first equation, then substitute into the second.

x = 72 − 3y

0.15 (72 − 3y) + 1.65y = 32.4

Solve for y.

10.8 − 0.45y + 1.65y = 32.4

1.2y = 21.6

y = 18

Now find x and z.

x = 72 − 3y = 18

z = 2y = 36

18 liters 15% acid, 18 liters 35% acid and 36 liters 65% acid should be used.

To learn more about Percentage on:

https://brainly.com/question/24120406

#SPJ2

A recipe calls for 6 cups of milk. If you have 4
pints of milk, how many cups will you have left
over?

Answers

Well one pint is 2 cups and it says you would have 4 pints so you would need to multiply like this 2x4=8 and since you only need 6 you would subtract six from eight like this 8-6=2 so that means you have 2 cups of milk left.

Please Hurry i need help.. it’s on a google form and if i don’t put the answers quick enough it’ll log me out.

Answers

Answer:

hiii, its B. 1/8. let me know if you need more help

PLS HELP I have a time limit

Answers

Answer:

THE ANWSER IS 2.7

Step-by-step explanation:

YOUR TO TAKE GRAM AND DIVE IT BY 54

Answer:

C

Step-by-step explanation:

Fiona was thinking of a number. Fiona subtracts 11 from it and gets an answer of 33.9. What was the original number?

Answers

Answer: 44.9

Step-by-step explanation:

33.9+11 = 44.9

Answer:

44.9

Step-by-step explanation:

33.9+11=44.9

44.9-11=33.9

Find the missing terms in each geometric sequence.

1. 3, 12, 48 __, __

2. __, __, 32, 64, 128, ...

3. 120, 60, 30, __, __

4. 5, __, 20, 40, __, __

5. __, 4, 12, 36, __, __​

Answers

1. 192, 768 ( it was times 4 )
2. 8, 16 (it was adding the number together 8+8)
3. 15, 7.5 ( it was half of the number)
4. 10, 80, 160 ( times 2 )
5. .75, 108, 324 ( times 4 )

Hope this helped! Lmk if you need more help!

helppp mee pleaseeeeeeeee

Answers

Answer: It's false.

I believe you would do (5-3) first.

Answer:

false

Step-by-step explanation:

HELP!! What value of y makes the equation 4x – 3y = 17 true, when x = 2?

Answers

Answer:

y=  -3

Step-by-step explanation:

4(2) - 3y = 17

8-3y=17

-8       -8

-3y=9

______

     -3

y=-3

Answer:

y = -3

Step-by-step explanation:

The coach took a digital photo of the new cycling team bike. She sent a 4 cm-by-6 cm photo to each team
member.
1. If the photo were enlarged to 150% of its original size, what would be its new length (long side)?
9
2. Suppose you want to make a 2 cm-by-3 cm copy of the original photo.
What percent should you use?
50%
3. What will be the measurement for each angle in the smaller photo?

Answers

Answer:

1. 9 cm

2. 50%

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

Step-by-step explanation:

1. The long side is clearly the 6 cm side. multiply it by 1.5x (150%) and you get 9.

2. 2 is 50% of 4 and 3 is 50% of 6.

3. Assuming the photo is a rectangle, the answer would be 90 degrees on every angle (in a dilation, angle measurements are congruent).

please please help
Simplify (4x − 6) − (3x + 6).

Answers

Answer:

x - 12

Step-by-step explanation:

To solve the equation, you need to combine like terms.

The first pair of like terms are 4x and 3x, so 4x - 3x = x

The second pair of like terms are -6 and 6 so -6 - 6 = -12

Therefore, the answer will be x - 12

1. 0.071 64 correct to 2 significant figures is

Answers

Answer:

0.07

Step-by-step explanation:

Mr.morales makes a table of the number of chaperones needed for different number of students attending a field trip. the ratio of parent chaperones to students is a constant proportion. what is the missing number in Mr.morales table.​

Answers

Answer:

mark brainest

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

Because, its multiplying by 8.

2×8= 16

4×8=32

6×8=48

8×8=64

the price of an item has risen to 300$ today. yesterday it was 125$. Find the percentage increse.

Answers

Answer:

140

Step-by-step explanation:

Trust Me

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