Jay had 6 times as much money as Kay. Then Jay gave Kay $33. Jay now has twice as much money as Kay. How much did they each start with?

Answers

Answer 1

Answer:

Jay started with $148.5 and Kay with $24.75.

Step-by-step explanation:

With the information provided you know that Jay had 6 times as much money as Kay wich can be expressed as:

J=6K, where

J is the money Jay had

K is the money Kay had

Also, you know that  Jay gave Kay $33 and Jay now has twice as much money as Kay, which would be:

J-33=2(K+33)

Now, you can replace J=6K in this equation and solve for K:

6K-33=2K+66

6K-2K=66+33

4K=66

K=24.75

Then, you can replace the value of K in J=6K:

J=6*24.75

J=148.5

According to this, the answer is that Jay started with $148.5 and Kay with $24.75.


Related Questions

Please help me what is a NOW a/4 − 5/6 = −1/2

Answers

Answer:

Step-by-step explanation:

Change the denominator of the 1/2 to sixths. Multiply the top and bottom by 3 to get 3/6

[tex]\frac{a}{4}-\frac{5}{6}=-\frac{3}{6} \\[/tex]

Add 5/6 to both sides and simplify

[tex]\frac{a}{4} =\frac{1}{3}[/tex]

Multiply both sides by 4 to get

a=4/3

Multiply numbers
A/4 -1 x 5/6 = -1/2
A/ 4 - 5/6 =-1/2
Add 5/6 to both sides of the equation
A/4 -5/6 =1/2
A/4 -5/6+5/6 =-1/2 +5/6
Simplify
Add the numbers
A/4 =1/3

Multiply all terms by the same value to eliminate fraction denominators
A/4 = 1/3
4x a/4 =4x1/3
Simplify

Cancel multiplied terms that are in the denominator
Multiply the numbers
A=4/3
Solution
A=4/3

Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?

Answers

Answer:

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

What is the value of x to the nearest tenth?

Answers

it would be 5.4 knowing that 9.6 is not the diameter you would need a larger radius so that when it is doubled you get a good number :)

how to write 1/x^5 using negative exponents.

Answers

Answer:

The answer is

[tex] { x }^{ - 5} [/tex]

Determine the value of x in the diagram.
96°
X
84°
96°

Answers

Answer:

84

Step-by-step explanation:

96+96+84=276

360-276=84

what is the answer for this

Answers

Answer:

∠B = 141

Step-by-step explanation:

n - > number of sides

n = 7

Sum of all interior angles = (n -2 ) * 180

                                         = 5 * 180 = 900

∠B + 148 + 90 + 142 +  130 + 129 + 120 = 900

∠B  + 759 = 900

∠B = 900 - 759 = 141

ally has 25 roses, she gives away 10 roses, what precentage of roses does she have left

Answers

Answer:

Ally had 60% of her roses left

Step-by-step explanation:

25(total)-10(take away)=15(left over)

15 (left)/25 (total before) = 60% left

Hi please I need help. I would really appreciate it. I hope y’all can see the picture this time.

Answers

Answer:

-42

Step-by-step explanation:

Looking at the numbers I can tell that it's decreasing at a constant rate (as in the rate of change is constant). This means that we're dealing with an arithmatic sequence and the common difference is -5. The equation we want is as follows

a+(n-1)d

Where a is the beginning value

n is the nth germ

d is the common difference

we have

3+(10-1)*-5

3+(9)*-5

3-45

-42

helppppppppppppppppppppp

Answers

Answer:

Cubic

Step-by-step explanation:

A cubic polynomial has a highest degree of 3.

In this polynomial, we see "q^3" meaning that q is raised to the 3rd power, making this a cubic polynomial.

Hope this helps!

The table shows the number of students who ate different foods for lunch.

Food Students
Mac and cheese 6
Burger 7
Pizza 13
Salad 4
What is the ratio of students who ate pizza to students who ate mac and cheese?

a
6 : 30
b
6 : 13
c
13 : 7
d
13 : 6

Which one is it?

Answers

Answer:

13:6 D

Step-by-step explanation:

A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.

The ratio of students who ate pizza to students who ate mac and cheese is 13:6.

From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.

What is a ratio?

In mathematics, a ratio indicates how many times one number contains another.

Now, pizza: mac and cheese=13:6

Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.

To learn more about the ratio visit:

https://brainly.com/question/13419413.

#SPJ2

Pleaseeee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

2y+4=3(y-1)
2y+4=3y-3
4+3=3y-2y
Y=7
X=2
Since opposite sides of rectangle are equal
Therefore
9x=18
X=18/9=2

2y+4=3(y-1)
2y+4=3y-3
4+3=3y-2y
7=y

Therefore x=2 & y=7

i need help. PLEASE, I dont know what to do​

Answers

Answer:

HELL I DON'T EATHIER

Step-by-step explanation:


Which diagram is a net of the figure shown at the right?

Answers

Answer: H

Explanation


Which one would it be A
B
C
Or
D

Answers

The correct answer is B.

This is because the equation says that x could equal 50 or anything less than 50.

PLS HELP ME...WILL GIVE BRAINLIEST..THANKYOU!!!!!

Answers

it says my answer needs to be at least 20 characters long but here 60, 4, -70, -76, -12
i believe it is 60, 4, -70, -76, -12

Evaluate: 4+8 divided by 2x (6-3)

Answers

Answer:

Step-by-step explanation:

(4+8)/(2x(6-3)) = 12/(2x(6-3))  = 12/6x = 2/x

Answer:

2x

Step-by-step explanation:

i need help finding the shaded area!!! ILL GIVE BRAINLIEST IF THE ANSWER SEEMS ACCURATE

Answers

Answer:

15.71 cm² ....................

Answer:

39

Step-by-step explanation:

l x w

11x 5 =55m^2

22/7×5= 15,7 = 16m^2

55-16=39

The width of a rectangle is 32 inches. The width of the rectangle decreased by 8 inches and its length also changed. The area of the rectangle remains the same, 1,440 square inches. What is the new length of the rectangle?

Answers

Answer:

60 in

Step-by-step explanation:

Area = length x width

Area is constant at 1440 in^2

For first rectangle: W1 and L1

For second rectangle: W2 and L2

W1 = 32 in

W2 = W1 - 8 in = 24 in

1440 in^2 = L1 x 32 in = L2 x 24 in

L1 = 45 in

L2 = 60 in

The picture is sideways. Please help, much appreciated! BRAINLIEST WILL BE GIVEN FOR THE HELP (SHOW WORK).​

Answers

Answer:

14 m

Step-by-step explanation:

Let the shorter side be x

Then the longer side is x + 1

Perimeter is:

P = 2( x + x + 1) = 2(2x + 1) = 4x + 2

The value of perimeter is at most 60 meters. P ≤ 60.

Solve the inequality:

4x + 2 ≤ 604x ≤ 58x ≤ 58/4x ≤ 14.5

Since x is the integer, its greatest value is 14 m

[tex]{ \large{ \red{➾ \: \: \underline {\bf{ \underline{Let \: \: the \: \: width \: \: of \: \: rectangle \: \: be \: \: y}}}}}}[/tex]

[tex]{ \large{ \blue{➾ \: \: \underline {\bf{ \underline{Then \: \: the \: \: length \: \: of \: \: rectangle \: \: be \: \: (y + 1)}}}}}}[/tex]

[tex]{ \large{ \green{✪ \: \: \boxed{ \boxed{ \rm{Perimeter \: \: of \: \: rectangle = 2 \times (length + breadth)}}}}}}[/tex]

[tex]{ \large{ \pink{⇛ \: \: \sf{Perimeter = 2 \times (y + y + 1)}}}}[/tex]

[tex]{ \large{ \orange{⇛ \: \: \sf{Perimeter = 4y + 2}}}}[/tex]

[tex]{ \large{ \purple{ ✒ \: \: \: \tt{Here \: \: given = \: Perimeter \: \: is \: \: at \: \: most \: \: 60 \: m}}}}[/tex]

[tex]{ \large{ \red{ ⇝ \: \bf{So \: \: perimeter \leqslant 60}}}}[/tex]

[tex]{ \large{ \green{ \underline{ \rm{Now \: \: we \: \: have \: \: to \: \: solve \: \: inequality}} \colon}}}[/tex]

[tex]{ \large{ \blue{➠ \: \: \bf{4y + 2 \leqslant 60}}}}[/tex]

[tex]{ \large{ \orange{➠ \: \: \bf{4y \leqslant 58}}}}[/tex]

[tex]{ \large{ \purple{➠ \: \: \bf{y \leqslant { \cancel\dfrac{58} {4 }^ { \: \: {14.5}} {}} }}}}[/tex]

[tex]{ { \blue{➠ \: \: \bf{y(Width \: \: of \: \: rectangle ) \: \: \leqslant 14.5 \: \: \: { \underline{ \underline{(But \: \: y \: \: is \: \: an \: \: integer)}}}}}}} [/tex]

[tex]{ \large{ \rm{ \green{ ∴ \: \: \: \: { \boxed{ \boxed{\bf{y \: (Width \: \: of \: \: rectangle ) \: \: greatest \: \: value \: = 14 \: \: m \: \: \:{ \underline{ \underline{}}}}}}} }}} \: \: { \large{ \green{ \rm{Ans.}}}}}[/tex]

Leyan bought 2 3/4 pounds of apples for $1.32 per pound, 1 1/2 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. . How much money did Leyan spend on tomatoes?

Answers

Answer: $4.20

Explanation: First, we need to know how much was spent on apples and peaches.

The equation for the amount spent on apples is $1.32/1 lbs=$x=(2 3/4 lbs), where 2 3/4 * 1.32=$3.63

As for peaches, we have $1.20/1 lb=$x/(1.5 lbs), where 1.5 * 1.20=$1.80

Finally, $9.63-(3.63+1.80)=$4.20

what is the answer to 1 3 x + 5 x = -6

Answers

Answer:      

x2-6=5x

Step-by-step explanation:

Answer:

x = -1/3

Step-by-step explanation:

13x + 5x = -6

=> 18x = -6

=> x = -6/18

=> x = -1/3

Hope it helps :)

please mark my answer as the brainliest

please help i’ll mark brilliant

Answers

Answer: 564

Step-by-step explanation:

Answer:

The output would be 564

Step-by-step explanation:

If the input is 12, then the output would be 12 * 47 which is 564.


Write an expression equivalent to 46x + 12), and state the property you used to write it.

Answers

Answer:

2(23x+6) is correct answer

A study indicated that residents of manchester wasted 2695 gallons of water this tear. That is 50% less than last year . How many gallons of water did the city's residents waste last year?

Answers

Answer:

5390 gallons of water was wasted by the city's residents last year.

Step-by-step explanation:

Let [tex]x[/tex] denotes gallons of water wasted by the city's residents last year.

Gallons of water wasted by the city's residents this year = 2695 gallons

This is 50% less than last year.

Therefore,

[tex]x-\frac{50}{100}x=2695\\\\\frac{50}{100}x=2695\\\\\frac{x}{2} =2695\\\\x=2(2695)[/tex]

[tex]x=5390[/tex] gallons

So, 5390 gallons of water was wasted by the city's residents last year.

A model of Pythagorean Theorem is shown below. Based on the
information in the model, which equation represents the
Pythagorean theorem?
A. 1442 + 252 = 1692
B. 122 + 52 = 132
169
square
units
C. 12 + 5 = 13
144
square
units
D. 132 + 52 = 122
25
square
units

Answers

i don’t see the model :/

A book has a front and a back and 200 pages.
The front and back cover are each 0.7 mm thick, measured to 1 decimal place.
Each page is 0.14 mm thick, measured to two decimal places.
Calculate the minimum thickness of the book.
Some working must be shown.

Answers

Answer:

28.3mm

Step-by-step explanation:

upper bound of front and back cover=0.75mm and lower bound=0.65mm

lower bound of page=0.135mm and upper bound=0.145mm

As there is a front and back cover we multiply the lower bound by 2

as there is 200 pages we multiply the lower bound by 200

(0.65*2)+(0.135*200)=28.3mm

The minimum thickness of the book will be 29.4 mm.

What is decimal place?

A decimal point divides a decimal number into a whole number and a fractional component. The dot that appears between the whole number and the fractions is the decimal point.

The Upper and lower cover thickness are both 0.7 mm, respectively.

The Upper and lower thickness of the page are both 1.4 millimeters

We multiply the page thickness by two because there is a front and back cover. The page thickness is multiplied by 200 because there are 200 pages.

(0.7*2)+(0.14*200) = 29.4mm

Therefore, the thickness of the given book can not be smaller than 29.4 mm or 2.94 cm

Learn more about the decimal places here:

https://brainly.com/question/50455

#SPJ2

y = 3.2 – 24
5x - y = 8
The solution is

Answers

X= -8
Y= -48

Explanation:
Since we know that 3x-24 is equal to y, we can plug that in for y in the equation 5x-y=8. That would look like 5x-(3x-24)=8. Distribute the -1 and you will get 5x-3x+24=8. Subtract 24 from both sides and get 2x=-16. Divide both by 2 and get x=-8. Than plug in -8 for y in one of the equations to get the y. You will get -48.

please help
it easy i know but i don't know ​

Answers

Answer:

Step-by-step explanation:

a- impossible to say(c)

b- true(a)

c- true(a)

Step-by-step explanation:

I get it a little so i think c is true B.is false and A. is impossible to say

HELP PLEASE (i need the answer and maybe an explanation but all i really want is an answer please)

Answers

C. 2x
This is because 2(2) is 4 and 2(4) is 8. You basically find the pattern between x and y. For these numbers you take x and multiply it by 2.

The function f(x) is defined below. What is the end behavior of f(x) ?
f(x) = - 156x + 44x ^ 2 - 4x ^ 3 + 180

Answers

1363.xs and nun of yourrrt bennies
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