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marta [7]
2 years ago
13

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection

and Nathan's entire collection add up to 31 books.
Mathematics
1 answer:
zimovet [89]2 years ago
7 0

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

please mark brainliest :)

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500 people are surveyed and asked to check the boxes that apply to them.
motikmotik

Answer:

1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.

2. The amount of people that have health insurance and is not confident about the economy is 116.

3. The amount of people that have health insurance or  is confident about the economy is 437.

Step-by-step explanation:

1) Using sets theory, we know:

U: 500 people surveyed

A: people who is confident in the economy

B: people that have health insurance

A' and B': people who is not confident in the economy and don't have health insurance.

A=321

B=403

A' and B' =63

In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:

(321 - x) + (403 - x) + x + 63 = 500

321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500

321 + 403 + 63 -500 = x

x= 287

2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:

A' ∩ B can be calculated as:

B - (A ∩ B)= 403 - 287= 116

3) The amount of people that have health insurance or  is confident about the economy is given by:

(A∪B) = (A) + (B) - (A ∩ B)

(A∪B) = 321 + 403 - 287= 437

7 0
2 years ago
Aeen is drinking a beverage that has a pH of 3.3. Marien is drinking a beverage that has a pH of 2.7. About how many time the hy
AlekseyPX
The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:

Aeen
3.3 = -log (H+)
H+ = 0.04 M

Marien
2.7 = - log (H+)
(H+) = 0.07 M

Therefore, Aeen's drink is 0.07/0.04 or 2 times more hydrogen ion concentration than Marien's drink.
3 0
1 year ago
Read 2 more answers
Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. She earns 4 more points per museum
Korolek [52]

Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.

Lets assume  x points she earn per library

She earns 4 more points  for museum than  library.

4 more points per museum per x .  so the points earned per museum is x+4

she earned 179 points from 11 museums and 4 libraries.

So the equation becomes

11 (x+4) + 4x = 179

11x +44 + 4x = 179

15x + 44 = 179 ( subtract 44 from both sides)

15x= 135 (divide by 15 from both sides)

x = 9

She earns 9 points per library

We know points per museum = x+4 = 9+4 = 13

She earns 13 points per museum .

5 0
2 years ago
1. Hugo scored 18 points in a recent basketball game, which was 5 points fewer than Toby scored. Write an equation for this situ
Bingel [31]

Answer: D

Step-by-step explanation:

Is if you do 18-5=13 13 is what Toby scored

6 0
2 years ago
By what percentages are Spain’s high category and medium category less than the United States’ categories (to the nearest tenth
Alex73 [517]

Answer:

i doing the same problem like this, i was too lazy to do it but since there is no answer on the internet, here you are :

High category : 58%

Medium category : 61.0%

Step-by-step explanation:

Explain : like i said, i have a same question :D

4 0
2 years ago
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