Richard has four times as many marbles as john. if Richard have 18 to John they would have the same number. how many marbles has each?​

Answers

Answer 1

Answer:

The number of marbles Richard has 24 and John has 6.

Step-by-step explanation:

Richard has four times as many marbles as john.

If Richard have 18 to John they would have the same number.

Now, to find number of marbles each has.

Let the marbles of John be [tex]x[/tex].

And the marbles of Richard be [tex]4x.[/tex]

According to question:

[tex]4x=x+18.[/tex]

Subtracting both sides by [tex]x[/tex] we get:

[tex]3x=18.[/tex]

Dividing both sides by 3 we get:

[tex]x=6.[/tex]

Marbles of John = [tex]6.[/tex]

Marbles of Richard = [tex]4x=4\times 6=24[/tex]

Therefore, the number of marbles Richard has 24 and John has 6.

Answer 2

Final answer:

John has 12 marbles, and Richard has 48 marbles, as Richard has four times as many as John, and giving John 18 marbles would equalize their amounts.

Explanation:

To find the answer, we need to set up an equation based on the information provided: Richard has four times as many marbles as John, and if Richard gives John 18 marbles, they would have the same number.

Let's denote the number of marbles John has as J. Then Richard has 4J marbles. If Richard gives 18 marbles to John, Richard would have 4J - 18 marbles, and John would have J + 18 marbles. According to the problem, after the exchange, they have an equal number of marbles, so we can write the equation:

4J - 18 = J + 18

Solving for J, we move all the J terms to one side and numeric terms to the other side:

4J - J = 18 + 18

3J = 36

Dividing both sides by 3, we get:

J = 12

So, John has 12 marbles. Since Richard has four times as many, he has 4 x 12 = 48 marbles. Therefore, Richard has 48 marbles and John has 12 marbles.


Related Questions

At a local food store a child stole $500 from the shopkeeper's cash register to purchase goods in the store. The items the child purchased total $350 which he paid using the money he stole and received change of $150. How much money in total did the shopkeeper lose

Answers

Answer:

The shopkeeper lost $500

The interest rate on the credit card is 15%. If we charge $200 to the credit card how much will pay including the interest?

Answers

Answer:

Step-by-step explanation:

Interest  = 15% of 200 = 15/100 * 200 = 15 * 2 = $30

The Amount he need to pay = 200 + 30 = $230

Answer 230
15% of 200 = 200 x .15 =30
Total to be paid is 230

if you vertically stretch the quadratic parent function, f (x) = x^2 by multiplying by 7 what is the equation of the new function

Answers

Answer:

F(x)=7x^2 or G(x)=7x^2

Step-by-step explanation:

An engineering student answered 81 questons correctly ona 90 question test. What percent of the question did she answer correctly? questions correctly on a 90 question test. What percent of the questions she answered correctly?

Answers

Answer:

correct answer = 90%

Step-by-step explanation:

Let x be the percent of the question did she answer correctly.

Given:

An engineering student answered 81 questions correctly on a 90 question test.

Find the percent of the question did she answer correctly.

Solution:

Percentage formula is given below

% answer [tex]=\frac{correct\ answer}{total\ questions}\times 100[/tex]

% answer [tex]=\frac{81}{90}\times 100[/tex]

% answer [tex]=\frac{81\times 100}{90}[/tex]

% answer [tex]=\frac{81\times 10}{9}[/tex]

% answer [tex]=9\times 10[/tex]

% answer [tex]=90[/tex]

correct answer = 90%

Therefore, she answered 90% correctly.

Answer:

90%

Step-by-step explanation:

What is the quote that of 2^4/2^-4

Answers

Answer:

[tex]2^8[/tex]

Step-by-step explanation:

To find the quotient of:

[tex]\frac{2^4}{2^{-4}}[/tex]

Solution:

We will apply quotient rule of exponents to find the quotient of the given expression.

By Quotient rule: [tex]\frac{a^x}{a^y}=a^{(x-y)}[/tex]

Thus the quotient for the expression can be given as:

[tex]\frac{2^4}{2^{-4}}[/tex]

⇒ [tex]2^{(4-(-4))}[/tex]

⇒ [tex]2^{(4+4)}[/tex]

⇒ [tex]2^8[/tex] (Answer)

The expression [tex]\frac{2^4}{2^-4}[/tex] can be simplified to 256.

To solve the expression [tex]\frac{2^4}{2^-4}[/tex], we can use the properties of exponents :

Recall that when you divide powers with the same base, you subtract the exponents: [tex]\frac{2^a}{2^b}[/tex] [tex]=[/tex] [tex]2^(a-b)[/tex].So, for our expression : [tex]\frac{2^4}{2^-4}[/tex] = [tex]2^(4-(_4))[/tex] = [tex]2^(4+4)[/tex] = [tex]2^8[/tex].Next, calculate [tex]2^8[/tex] : [tex]2^8[/tex] = 256.

Therefore, the value of the expression [tex]\frac{2^4}{2^-4}[/tex] is 256.

And Another Question 35 points

Answers

Answer:

50

Step-by-step explanation:

The x-axis represents the number of broken light bulbs, as labelled on the histogram. The highest range is 41 to 50, therefore the greatest possible number of broken light bulbs is 50.

Answer:

50

Step-by-step explanation:

The last bar on the number of broken light bulbs (x) axis covers the range 41-50. Thus, 50 is the maximum number of broken light bulbs that can be and is represented in this histogram.

What is the initial value of the function represented by this table? (5 points)


Answers

Answer:

0

4

5

9

Step-by-step explanation:

The correct answer is 4

Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1.50 more than the cost of a on loaf of bread. What is the combined cost of one loaf of bread and one package of cheese?

Answers

The combined cost of one loaf of bread and one package of cheese is $6.50.

Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1.50 more than the cost of a loaf of bread. To find out the combined cost of one loaf of bread and one package of cheese, we need to use a system of equations.

Let the cost of one loaf of bread be x. Therefore, the cost of one package of cheese would be x + $1.50. Since Mason bought 6 loaves of bread and 3 packages of cheese, we can express the total cost as:

6x + 3(x + $1.50) = $27

Distributing the 3 into the parentheses, we get:

6x + 3x + $4.50 = $27

Combining like terms, we have:

9x + $4.50 = $27

Subtracting $4.50 from both sides, we get:

9x = $22.50

Dividing both sides by 9, we find out that one loaf of bread (x) costs:

x = $2.50

Now, adding the additional $1.50 for the cheese, we find that one package of cheese costs:

x + $1.50 = $4.00

The combined cost of one loaf of bread and one package of cheese is therefore:

$2.50 (bread) + $4.00 (cheese) = $6.50

A. 90 degrees
B. 180 degrees
C. 270 degrees
D. 360 degrees​

Answers

Answer:

What was the question (I can't see the picture)

Step-by-step explanation:

Answer:

B. 180 degrees

Step-by-step explanation:

∠A, ∠B and ∠C are collective the internal angles of a triangle.

By definition, the internal angles of a triangle sum to 180degrees

hence ∠A + ∠B + ∠C = 180 degrees

(see also attached graphic for reference)

Bill wants to post three parcels.
Parcel 1
Parcal 2
Parcel 3
Each parcel costs £1.10 to post.
How much change should he get from a £10 note?​

Answers

The answer should be £6.70
Final answer:

The change Bill should receive from a £10 note after paying to post three parcels, each costing £1.10, is £6.70.

Explanation:

Bill wants to post three parcels and each parcel costs £1.10 to post. The total cost for posting all three parcels would be £1.10 * 3 = £3.30. If he pays this fee with a £10 note, we can calculate the change by subtracting the total cost of posting parcels from the value of the note: £10 - £3.30 = £6.70. So, the change Bill should get back from a £10 note after posting 3 parcels each costing £1.10 is £6.70.

Learn more about Change Calculation here:

https://brainly.com/question/32994491

#SPJ12

Tara paid $3.52 for 4 boxes of macaroni and cheese. Jarrett paid $5.40 for 6 boxes of macaroni and cheese. Which of
the following statements is true?
Tara paid more per box
Jarrett paid more per box.
Tara and Jarrett paid the same per box​

Answers

Answer: Tara paid more per box

Step-by-step explanation:

For the function f(x)=8(x−3)+13, find the value of f(5) please help

Answers

Answer:

29

Step-by-step explanation:

f(x)=8(x−3)+13

f(5)= 8(5-3)+13

f(5) = 8(2) +13

f(5) = 16 +13

f(5)= 29

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

Answer:

Your correct answer is 29! Here is the step by step explanation!

Step-by-step explanation:

f(x)=8(x−3)+13

f(5)= 8(5-3)+13

f(5) = 8(2) +13

f(5) = 16 +13, wich means when you do this,

f(5)= 29

you get your answer of 29! Please mark brainliest! Hope it helped! Have a nice day!

what is 14.79 as a rounded number​

Answers

Answer:

15

Step-by-step explanation:

Answer:

15 or 14.8, depending on whether it is a ehole number on on decimal place

Step-by-step explanation:

Solve system of equation
2x+3y=4
2x=7y+24

Answers

Answer:

X= 5  Y= -2

Step-by-step explanation:

What is the volume of a rectangular prism with length 7 in., height 3 in., and width 8 in.?

V = lwh

_in3

Answers

Answer:168

Step-by-step explanation: v=lwh

V=7x8x3

= 168

Which system of equations has no solutions
A. 3x + 4y = 5
6x + 8y = 10

B. 7x - 2y = 9
7x - 2y = 13

C. 2x - y = -11
-2x + y = 11

D. 3x + 6y = 1
x + y = 0

Answers

testing them out:
a: multiply by -2 to first equation
-6x -8y = -10
when you add the next equation, they cancel out. we can already tell there is no solution.

b. multiply by -1
-7x + 2y = -9
when you add, both variables subtract, so there is no solution.

c. there is no need to multiply. however, when you go to subtract, you see that the variables subtract out so there is no solution.

d. multiply bottom equation by -3
-3x - 3y = 0
subtract
that leaves 3y = 1
y = 1/3

so, a, b, and c have no solution

The temperature at sunrise was -2 degrees Fahrenheit. The temperature at sunset was 18 degrees warmer than it was at sunrise. What was the temperature at sunset?

a) -20 degrees Fahrenheit
b) -16 degrees Fahrenheit
c) 20 degrees Fahrenheit
d) 16 degrees Fahrenheit

Answers

Answer:

d) 16 degrees Fahrenheit

Step-by-step explanation:

What do we know? Initial temperature: -2. Then the temperature rose by 18 degrees. We can express this mathematically:

[tex]-2+18[/tex]

If you are not particularly comfortable with negatives, you can rewrite this expression as such:

[tex]18-2[/tex]

[tex]16[/tex]

Thus the temperature at sunset was 16 degrees Fahrenheit.

Answer:

16 degrees

-2 + 18 is 16

Step-by-step explanation:

If this is wrong EXPLAIN HOW ITS WRONG

Which pair of number has the same greatest common factor as 48 and 78

Answers

Answer:

48

Step-by-step explanation:

48=2×2×2×2×3

78=13×2×3

48 has 5 factors.

how do i find the perimeter of a rectangle that is 15 in. x 24 in.​

Answers

You can apply the formula of perimeter of rectangle and that is 2(l+b)....

Perimeter of a rectangle is 2L+2W.
So in this problem it is 2(15)+2(24) = 30+48 = 78 square inches

two consecutive even integers have a sum of 254. write the equation that will solve for the two integers.

Answers

Answer: 126 and 128

Step-by-step explanation: In this problem have two consecutive even integers whose sum is 254.

Consecutive even integers can be represented as followed.

X ⇒ first even integer

X + 2 ⇒ second even integer

Since the sum of these is 254, our equation reads X + X + 2 = 254.

We can simplify on the left side of the equation to get 2x + 2 = 254.

Now, we subtract 2 from both sides of the equation to get 2x = 252.

Lastly, we will divide both sides of the equation by 2 in order to isolate x. On the left side, the 2's cancel out and on the right, 252 divided by 2 is 126.

If our first integer is 126, our next consecutive even integer will be 126 + 128 which simplifies to 254.

Therefore, our two consecutive even integers are 126 and 128.

What is the algerbraic expression for the following word phrase: the product of 5 more than p and 7?

Answers

Answer:

Step-by-step explanation:

7(p+5)

I need to buy a carpet-for a-room the measures 3m by 2m.how many square meters do I need?

Answers

Final answer:

To carpet a room measuring 3 meters by 2 meters, you need 6 square meters of carpet.

Explanation:

To calculate the area of a rectangular room that measures 3 meters in length and 2 meters in width, you multiply the length by the width.

Using the formula Area = length × width,

As we can see that the room is a rectangle with width 2 and length 3

So,

Length = 3 m

Width = 2 m

We find that the room's area is 6 square meters (3m × 2m = 6m²).

Therefore, to carpet a room of this size, you would need to buy 6 square meters of carpet.

Find the exact volume of the cylinder.
A) 65π m3
B) 130π m3
C) 260π m3
D) 325π m3

Answers

do you have a picture?

Answer:

d

Step-by-step explanation:

Can someone Please Help Me​

Answers

Answer:

a= 63 ⁰; z= 80⁰; x= 30⁰; N= 102⁰;M = 66⁰

Step-by-step explanation:

Example 1 :  the angle opposite to angle 2a is 54 degrees because it is the opposite exterior angle of 54 degrees angle so

2a+54⁰= 180⁰

2a= 180⁰-54⁰

2a= 126⁰

a= 126/2= 63⁰

EXAMPLE 2:  Opposite exterior angles are equal so

z+25⁰= 105⁰-------A

z= 105⁰-25⁰

z=80⁰

It is making a straight angle so

105⁰+ 3x-15= 180⁰

3x-15=180-105

3x-15=75⁰

3(x-5)=75⁰

x-5⁰=75/3

x-5⁰=25⁰

x= 25⁰+5⁰

x=30⁰

EXAMPLE 3:

114⁰= N+12⁰   (exterior opposite angles are equal)

N= 114⁰-12⁰

N= 102⁰

114⁰+M= 180⁰     (straight angles)

M= 180⁰- 114⁰

M= 66⁰

The area of a rectangle is 4y + 10.

A. Represent the area of the rectangle in factored form.
B. Use the factored form to give one possible set of dimensions for this rectangle.

Answers

A) The factored form of area of rectangle is 2(2y + 5)

B) length of rectangle is 2 and width is 2y + 5 and one possible set of dimensions of rectangle is length 2 and width 7

Solution:

Given that area of rectangle is 4y + 10

A. Represent the area of the rectangle in factored form

The factored form is a parenthesized algebraic expression.

Factored form is a product of sums of products or a sum of products of sums

Given area of rectangle is 4y + 10

Taking 2 as common,

4y + 10 = 2(2y + 5)

Therefore, the factored form of given area of rectangle is 2(2y + 5)

B. Use the factored form to give one possible set of dimensions for this rectangle

The area of a rectangle is given by the formula:

area of rectangle = length x width

Therefore, area of rectangle = 2(2y + 5)

So the length of rectangle is 2 and width is 2y + 5

Or the length of rectangle is 2y + 5 and width is 2

If y = 1, then one possible set of dimensions of rectangle is:

length = 2 and width = 2(1) + 5 = 7

So one possible set of dimensions of rectangle is length 2 and width 7

Final answer:

The factored form of the area of the rectangle is 2(2y + 5).

One possible set of dimensions, based on the factored form, is a length of 2y units and a width of 5 units.

Explanation:

To represent the area of a rectangle in factored form, we look for factors of the expression 4y + 10. Both terms have a common factor of 2, so the factored form is:

2(2y + 5).

Now, to give one possible set of dimensions for the rectangle using the factored form, we can consider each factor as a dimension:

Length: 2yWidth: 5

Thus, one possible set of dimensions for the rectangle could be 2y units (length) and 5 units (width).

How do you integrate [tex]\int\limits ln({x+1}) \, dx[/tex] using integration by parts?

Thank you!

Answers

Answer:

[tex]\int \ln (x+1) \, dx=x\cdot \ln (x+1)-x+\ln (x+1)+C[/tex]

Step-by-step explanation:

Use integration by parts formula:

[tex]\int u \, dv=uv-\int v \, du[/tex]

For the integral

[tex]\int \ln(x+1) \, dx,[/tex]

[tex]u=\ln (x+1)\\ \\dv=dx,[/tex]

then

[tex]du=d(\ln (x+1))=\dfrac{1}{x+1}\ dx\\ \\v=x[/tex]

and

[tex]\int \ln(x+1) \, dx\\ \\=x\cdot \ln (x+1)-\int x\cdot \dfrac{1}{x+1} \, dx\\ \\= x\cdot \ln (x+1)-\int \dfrac{x+1-1}{x+1} \, dx\\ \\=x\cdot \ln (x+1)-\int \left(1-\dfrac{1}{x+1}\right) \, dx\\ \\=x\cdot \ln (x+1)-\int \, dx +\int \dfrac{1}{x+1} \, dx\\ \\=x\cdot \ln (x+1)-x+\ln (x+1)+C[/tex]

Find the roots of this polynomial x^2 -9x+8

Answers

X=1 or x=8 see photo for steps and please mark as brainliest!

Final answer:

x = 1 and x = 8.

Explanation:

This can be completed through factoring the quadratic equation. To factor x^2 - 9x + 8, we look for two numbers that multiply to +8 and add to -9. These numbers are -1 and -8 since (-1) * (-8) = +8 and (-1) + (-8) = -9. Therefore, we can write the polynomial as (x - 1)(x - 8). The roots are the values of x which make each factor zero, hence we get the roots as x = 1 and x = 8.

At 1:00pm, ship A is 30 miles due south of ship B and is sailing north at a rate of 15 mi/hr. If ship B is sailing

west at a rate of 10 mi/hr, find the time at which the distance d between the ships is minimal.

Answers

Answer:

2:23 pm

Step-by-step explanation:

We can solve this considering a a right triangle

let t = travel time of both ships

therefore,

15t = distance traveled by ship A

however, it is traveling toward the point of reference, therefore we write it

(30-15t)

and

10t = distance traveled by ship B, away from the point of reference

Let d = distance between the ships at t time, (the hypotenuse of the right triangle)

[tex]d= \sqrt{(30-15t)^2+10t^2}[/tex]

and combine like terms

[tex]d= \sqrt{(900-900t+225t^2)+100t^2}[/tex]

[tex]d= \sqrt{3325t^2-900t+900}[/tex]

from this d to minimum we can find the axis of symmetry, where in

a=325 and b= -900

the t=-b/2a

[tex]t= -\frac{-900}{2\times325}[/tex]

t= 1.384 hours

now putting the value we get

[tex]d= \sqrt{3325(1.384)^2-900(1.384)+900}[/tex]

solving this we get

d= 16.64 miles

therefore,

16.64 mi apart after 1.3846 hrs, minimum distance between the ships

now, 1.384 hours = 1+60(0.348) hour

= 1 hour and 23 minutes

so, the time at which the distance d between the ships is minimal = 1:00 pm + 1 hour and 23 minutes = 2:23 pm

How do I graph 7x+2y=-10

Answers

Here is the answer for the question

The Read and Feed restaurant wants to know how satisfied their customers are with their service. They printed an internet link to a survey on every receipt, and 150150150 of their customers chose to answer the survey. The data showed that 60\%60%60, percent of the customers were satisfied with their service.
Based on this data, which of the following conclusions are valid?

Answers

Answer: The answer is A my bro trust me *Fist Bump*

Answer:

A

Step-by-step explanation:

I did it and got it right.

Hope this helps:)

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