Jina,tony, and Henry have a total cost of $70 in their wallets. Tony has 2 times what Henry has. Henry has $10 more than Jina. How much do they have in their wallets?

Answers

Answer 1

Answer:

Jina has $10,

Tony has $40,

and Henry has $20

Step-by-step explanation:

So if we use a little bit of algebra, let's say

Jina's amount = a.

Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount

(a + 10) by 2, and you get: 2(a + 10).

Here's to make things easier on the eye for you:

Jina's amount = a

Henry's amount = (a + 10)

Tony's amount : 2(a + 10)

Next, form an equation by adding each of the three's amounts together:

Jina's amount + Henry's amount + Tony's amount

= a + (a + 10) + 2(a + 10)

= a + a + 10 + 2a + 20

(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)

4a + 30 = 70

(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)

= 4a = 40

(and now, simplify by dividing by 4)

a = 10

Substitute 10 for a:

Jina: a = $10

Henry = (a + 10) = (10 + 10) = $20

Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40

Add them all up if you want to check if its correct:

$10 + $20 + $40 = 70$ ✔

Sorry if this explanation was a bit long, I hope you understand ^^.


Related Questions

NO LINKS!!!

Please help me with parts b and c. ​

Answers

9514 1404 393

Answer:

  b.  A × B = GCF(A, B) × LCM(A, B)

  c. 15 = GCF × LCM / 20

Step-by-step explanation:

b. The products of the numbers in the table are 80, 108, 216, 45.

The products of the corresponding GCF and LCM are 80, 108, 216, 45.

Conjecture: the product of the numbers is equal to the product of the GCF and LCM.

__

c. GCF×LCM = 5×60 = 300 = A×B = 20×B

  B = 300/20 = 15

The other number is 15, found by using the conjecture of part b.

_____

Additional comment

If you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:

  A = (factors in common with B) × (factors unique to A)

  B = (factors in common with A) × (factors unique to B)

The GCF, by definition, are (factors in common between A and B).

The LCM, by definition, is the product of unique factors:

  (common factors) × (factors unique to A) × (factors unique to B)

__

Then the product of the LCM and the GCF is ...

  GCF × LCM =

  (factors in common) × ((factors in common) × (unique to A) × (unique to B))

Using the associative and commutative properties of multiplication, we can rearrange this product to be ...

  ((factors in common)×(unique to A)) × ((factors in common)×(unique to B))

  = A × B

__

Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:

  [unique to A (common] unique to B)

Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.

Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.

The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.

(Please help!) Which table shows a function that is decreasing only over the interval (–1, ∞)?

Answers

Answer:

Table D

Step-by-step explanation:

Lets verify is the function is decreasing in the given interval.

Table A-5, -2, -1, 2 ⇒ this is increasing, noTable B-7, -6, -1, 1  ⇒ this is increasing, noTable C-1, 2, 1, -6  ⇒ this is neither increasing, nor decreasing, noTable D1, 0, -4, -8 ⇒ this is decreasing, yes

what does this mean??

Answers

Answer:

"do you mock people's mental states?"

Can anyone help me with the question in the picture?

Answers

26.

Set the terms given equal to each other, since same side interior angles are congruent. Then solve for x. You should get 26.

Answer: x=26

set 4x+8=6x-44

then get the x to the left side and make it stand alone by subtracting the other numbers to get them over

Hope this helped a little XD

Lira has flowers. 2/9 of them are roses, and 3/7 of the remainder are sunflowers and the rest are tulips. If she has 36 tulips, how many sunflowers and roses does she have all together?

Answers

The total sunflowers and roses Lira has is 18 and 27 respectively

Let

Total flowers = x

Roses = 2/9 of x

= 2/9x

Remaining = x - 2/9x

= (9x-2x) / 9

= 7/9x

Sunflowers = 3/7 of 7/9x

= (3 × 7)/(7 ×9)x

= 21/63x

Tulips = 36

Total = roses + sunflowers + tulips

x = 2/9x + 21/63x + 36

x - 2/9x - 21/63x = 36

(63x -14x-21x) / 63 = 36

28/63x = 36

cross product

28x = 36 × 63

28x = 2268

x = 2268/28

x = 81

Therefore,

Total flowers = x

= 81 flowers

Roses = 2/9x

= 2/9 × 81

= 18 flowers

Sunflowers = 21/63x

= 21 / 63 × 81

= 27 flowers

Read More:

https://brainly.com/question/2261275

Who does edge still in 2021?

Answers

Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).

Completely Factor the following equations.
a) 3x^3 + 15x^2 + 18x

Answers

Common factor
3x^3 + 15x^2 + 18x

3(x^3+5x^2+6x)
Find one factor
3x(x^2+5x+6)
Factor by grouping
3x(x+2)(x+3)
Solution
3x(x+2)(x+3)

solve pls branliest!

Answers

1) -7+3
2) -7 + (-3) …….

Answer:

(a) -7+3

(b)-7+(-3)

How are different types of linear equations similar and how are they different

Answers

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

Brisa is 2 years older than Aja. Damaris is 1 year younger than half of Brisa's age. The sum of all their ages is 27.

Answers

brisa is 12.5 aja is 10.5 and damaris is 4

What is the length of BC?

A.7
B.12
C.13
D.17
E V60
F. V119

Answers

Answer:

BC = 13

Step-by-step explanation:

Pitagoras:

H^2= 5^2 + 12^2

H^2=25 + 144

H^2= 169

H= V 169 ---- square root

H= 13 -------BC

Answer: C. 13

Step-by-step explanation:

Using pythagoras ;

[tex]BC = \sqrt{5^{2}+12^{2} }[/tex]

[tex]BC=\sqrt{25 + 144}[/tex]

[tex]BC =\sqrt{169}[/tex]

[tex]BC= 13[/tex]

Please give me a brianliest answer

At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount of leftover cake. How much cake did each employee take home?

Answers

Answer:

3/20

Step-by-step explanation:

This is a division question.

The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.

When you divide fractions you have to flip the second number and multiply the two fractions.

So, you have to do 3/4 x 1/5 which is 3/20.

Thus, the answer is 3/20.

Good luck!

1. Preeta watches an ant and a beetle crawl in a hole in the ground. The beetle is inch below ground level. The beetle climbs the distance the ant is below ground level. The beetle is now inches below ground level.
(a) Let x = the position of the ant relative to ground level. What equation can be written to solve for x?
(b) Solve the equation from Part (a). Show your work.
(c) What is the distance between where the ant is and where the beetle is? Answer the question in a complete sentence. Show your work.

Answers

Answer:

1a:  [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b: See below

1c:  [tex]2\frac{3}{4}[/tex] inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b. Solve the equation written above from 1a.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

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

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= [tex]5\frac{1}{4}[/tex]

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

5 1/4 - 2 1/2 =  [tex]2\frac{3}{4}[/tex]

These answers were found by using this info:

the beetle is 3/4 inch below the ground level. The beetle climbs 1/3 the distance. The beetle is now 2 1/2 inches below ground.

Help please! I’m a bit young so it might be easy for you! Can you please tell me this and maybe I’ll understand? Giving brainliest!

Answers

Answer:

2.36 miles

Step-by-step explanation:

subtraxt them from each other

25×2- (42÷6) + 18 can someone help me?

Answers

Answer:

The answer is 61

Answer:

61

Step-by-step explanation:

Bvtcctctctc CJ bububuv

Answers

Answer:

A) [tex]y+7=-3(x-4)[/tex]

Step-by-step explanation:

Hi there!

The given equations are written in point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that falls on the line

Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.

Therefore, the equation of the line is either A or B.

Now, let's look at A:

[tex]y+7=-3(x-4)[/tex]

This equation suggests that the point (4,-7) falls on the line, which it does.

Therefore, the equation of the graph is [tex]y+7=-3(x-4)[/tex].

I hope this helps!

Answer: A.) y + 7 = - 3 ( x - 4 )

Step-by-step explanation:

i didnt know i was a graph lolz im just playin have a nice day kind person and sorry for answering late!!!!!!

Whats the two answers? ( Branliest )

Answers

Answer:

B and C

Step-by-step explanation:

Factors:

(A) x + y, no product(B) 5(x + y), two factors(C) (x - y)(x + y), two factors(D) xyz, three factors

#A

x+y

No

#B

5(x+y)5x+5y

Yes

#C

(x-y)(x+y)

Yes

#D

xyz

No

James lives 4 miles from the town library. He lives 256 miles from the post office.

How much closer is James to the post office than to the library?

Enter your answer in the box as a mixed number in the simplest form. (Please Help!)

Answers

Answer:

1 1/6 miles

Step-by-step explanation:

i failed the test sooo haha here you go hopefully you dont fail:)

Using the unitary method we can conclude that James is 64 times closer to the post office than to the library.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that James lives 4 miles from the town library.

James lives 256 miles from the post office.

Therefore, we will divide the 256 by 4 to get the answer;

256/4 = 64

Thus, we can conclude that James is 64 times closer to the post office than to the library.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

solve pls brainliest

Answers

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

What is the value of x in the proportion below? -

2/3 over 5 = x over 15

•2
•3
•10
•75​

Answers

Answer:

2/3 over 15 is 10

so 10/5=2

2 is the answer

Step-by-step explanation:

How many songs can Chet download for $1.00 using Get Tunes? If she downloaded 27 for $13.50

Answers

Answer:

2

Step-by-step explanation:

need an answer, please need an answer, please.​

Answers

Answer:

Step-by-step explanation:

1) c

x² = 1

x² - 1 = 0

Degree of quadratic equation should be 2.

2) 'a'- coefficient of x² cannot be 0

option a

3) option c

Standard form: ax² + bx +c = 0

4) c = 5

3x² + 8x = -5

3x² + 8x + 5 = 0

option c

5) b= 0

option a

Peter owns a store that sells men's clothing. His most significant monthly expenses to run the store are the cost of retail items and the power bill. This month, he purchased 50 suits for his store. He also
needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month:
50 (x) + 35 (x + 25) + 450
What does (x + 25) represent?

А-the cost of 25 suits

B-the cost of each pair of shoes

C-the total cost of the pairs of shoes

D-the price of one suit and one pair of shoes

Answers

Answer:

B-the cost of each pair of shoes

Step-by-step explanation:

This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)

x + 25, represents the cost of each pair of shoes. Option B is correct.

Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25  represent the cost of each pair of shoe.

Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.

Learn more about polynomial function here:

https://brainly.com/question/12976257
#SPJ2

Helpp need it now


9.) Find the N' .

1.) {j , u , d , g}
2.) {m , n , t , a , l}
3.) {j , u , d , g , e}
4.) {m , e , n , t , a , l}

10.) Find the N U I.

1.) {m , n , t , a , l}
2.) {j , u , d , g , e}
3.) {m , e , n , t , a , l}
4.) {j , u , d , g , m , e , n , t , a , l}

Answers

Answer:

8.) ans {e}

9.) ans {j, u, d, g}

10.) ans {j, u, d, g, m, e, n, t, a, l}

Are constants like terms

Answers

Step-by-step explanation:

yes , all constant are like terms.

solve pls brainliest

Answers

Answer:

(1,6)

Step-by-step explanation:

all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)

Answer:

(1,6)

Step-by-step explanation:

I need help please !!! Help noww

Answers

Answer:

Sorry link only if you have enough rupees

Step-by-step explanation:

78x

87x

09x

cc

bb

dom=cb

makes sense now c.r.y because this answer is too smart f/.or y.o.u not helping you? just pray and god will give you your answer or talk morshu he'll give you help BUT only if you have enough rupees.

(a) The area of a rectangular parking lot is 5964 m².
If the length of the parking lot is 84 m, what is its width?

Answers

Answer:

71 m................

area =length *width

5864=84*width

width=5864/84

hence width is 71m

Un conjunto de 10 000 observaciones tiene una distribución normal con media de
450. Si 1700 de ellas están comprendidas entre 450 y 460. ¿Cuál es la desviación
estándar?

Answers

Answer:

567898765

Step-by-step explanation:

What is the result of the division?
2x^3-5x*4
—————-
x-3

Answers

Answer:

2x² + 6x + 13 remainder 43

Step-by-step explanation:

Long division:

2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43

2x³ - 6x²

       6x² - 5x

      6x² - 18x

                13x + 4

                13x - 39

                        43

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