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Helen [10]
2 years ago
5

John took all his money from his savings account. He spent ​$110 on a radio and 4/11 of what was left on presents for his friend

s. John then put 2/5 of his remaining money into a checking account and donated the​ $420 that was left to charity. How much money did John originally have in his savings​ account?
Mathematics
1 answer:
svp [43]2 years ago
8 0

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

\frac{7}{11}(x-110)=\frac{7}{11}x-70

Then he put 2/5 of his remaining money into a checking account

\frac{3}{5}\left(\frac{7}{11}x-70\right)

Rest he donated to charity

420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210

Hence total amount of money John originally had was $1210

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Harlan makes a snack mix with proportional amounts of cereal and popcorn. The graph shows how much popcorn he uses with differen
lina2011 [118]

Answer:

2 cups of popcorn and 1/2 cups of cereal per cup

Step-by-step explanation:

khan told me

7 0
2 years ago
What is the sum of 2/10 + 6/100
kogti [31]

Answer:

26/100 which is simplified to 13/50

Step-by-step explanation:

you have to get equal denominators so multiply 2/10 by 10 on top and bottom to get 20/100 then you can add 6/100 plus 20/100 which is 26/100 . denominators stay the same 26/100 can be simplified to 13/50

6 0
2 years ago
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What are the coordinates of vertex J of the pre-image?(14 POINTS. PLS HELP, GEOMETRY)
DaniilM [7]
If we look at where it is now, we would have multiplied the x and y values by 1/2. since we are working backwards, lets multiply by 2 instead...giving us the vertex for the pre-image....

J is now (0, -2)      multiply by 2
J was     (0, -4)
5 0
2 years ago
Read 2 more answers
Please help!!
rusak2 [61]
ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{1,2,4,5,10,20}

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{1,2,3,4,5,6,7,8,9,10}

and the set P also has elements

{2,4,6,8,10}

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{1,3,5,7,9}

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

d=|130-25t|

If the is 15 feet away then d=15

This implies that;

15=|130-25t|

We now split the absolute value sign to obtain,

15=130-25t

or

-15=130-25t

We now solve for t to obtain;

15-130=-25t

or

-15-130=-25t

\frac{115}{25}=t

or

\frac{145}{25}=t

This gives us

4.6=t

or

5.8=t

The correct answer is C

ANSWER TO QUESTION 4

Given

P={0,1,2,3,4,56,7,8,9}

and

V={2,4,6,810,1216,18,20}

P\capV={2,4,6,8}

P\V are  elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.


Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

350-250=100

But the number of people who play baseball

120+100=220

see diagram

7 0
2 years ago
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (
irga5000 [103]

Answer:

The correct option is;

Use a scale factor of 2

Step-by-step explanation:

The parameters given are;

A = (1, -6)

B = (5, -6)

C = (6, -2)

D = (0, -2)

A'' = (1.5, 4)

B'' = (3.5, 4)

C'' = (4, 2)

D'' = ( 1, 2)

We note that the length of side AB in polygon ABCD = √((5 -1)² + (-6 - (-6))²) = 4

The length of side A''B'' in polygon A''B''C''D'' = √((3.5 -1.5)² + (4 - 4)²) = 2

Which gives;

AB/A''B'' = 4/2 = 2

Similarly;

The length of side BC in polygon ABCD = √((6 -5)² + (-2 - (-6))²) = √17

The length of side B''C'' in polygon A''B''C''D'' = √((4 -3.5)² + (2 - 4)²) = (√17)/2

Also we have;

The length of side CD in polygon ABCD = √((6 -0)² + (-2 - (-2))²) = 6

The length of side C''D'' in polygon A''B''C''D'' = √((4 -1)² + (2 - 2)²) = 3

For the side DA  and D''A'', we have;

The length of side DA in polygon ABCD = √((1 -0)² + (-6 - (-2))²) = √17

The length of side D''A'' in polygon A''B''C''D'' = √((1.5 -1)² + (4 - 2)²) = (√17)/2

Therefore the Polygon A B C D can be obtained from polygon A''B''C''D'' by multiplying each side of polygon A''B''C''D'' by 2

The correct option is therefore;

Use a scale factor of 2.

3 0
2 years ago
Read 2 more answers
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