determine the equation of the line

Answer:

Step-by-step explanation:

1/4a + 1/3a + 8 = 22

Collect like terms

1/4a + 1/3a = 22 - 8

Simplify

3a+4a/12 = 14

7/12a = 14

Divide both sides by 7/12

a = 14 ÷ 7/12

= 14 × 12/7

= 168/7

= 24

a = 24

Check:

1/4a + 1/3a + 8 = 22

1/4(24) + 1/3(24) + 8 = 22

24/4 + 24/3 + 8 = 22

6 + 8 + 8 = 22

22 = 22

Answer:

[tex]35[/tex] students

Step-by-step explanation:

Given information:

- There are 60 4 year-olds, Ani teaches 25% of them.

- Ani also teaches 20 3 year-olds.

Total students:

[tex]25\%\times60 = 15[/tex] 4 year-olds

[tex]15+20 = 35[/tex]

∴ Ani teaches [tex]35[/tex] students in total

Hope this helps :)

Answer:

a

Step-by-step explanation:

y=4x+ 1

Answer:

1. 5 - (a+b)

2. n + 0.5n = 1.5 n

3. 2x - 2

4. 7 + mn

5. pq - (p+q)/3

6. a*a = a^2

Step-by-step explanation:

Answer:

Photo.

Step-by-step explanation:

A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2

B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.

Answer:

F

Step-by-step explanation:

I think

Answer:

F

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the

Let the distance across the river be x.

The ratio of corresponding sides is same. Find x using ratios:

Answer:

56.25

Step-by-step explanation:

I took the quiz.

Answer:

the slope of the line= 0.75.

its answer is 3.96 in y axis on 76 on X axis

Answer:

- 5/3

Step-by-step explanation:

Line is passing through the points (0, 2) & (3, - 3)

Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3

7x+4=3x-20

Subtract 3x to the left.

4x+4=-20

Subtract 4 to the right.

4x=-24

Divide -24/4 to isolate variable "x".

x=-6

Plug it back it to prove the solution.

7(-6)+4=3(-6)-20

-38=-38

Answer:

7x+3=-25+3x

minus 3 on both sides

7x=-28+3x

minus 3x both sides

4x=-28

divide 4 both sides

x=-7

the number is -7

Answer:yaba

Step-by-step explanation:

yaba

Answer:

Tables 3. The one in the bottom left corner.

Step-by-step explanation:

The values of table C is not in variation.

Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.

Given tables,

A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).

Relation for table A

y /x =  -3/1 = -3

y /x = -9/3 = -3

y /x = -18/6 = -3

y /x = -36/12 = -3

relation is in variation.

Relation for  table B

y /x =  3/1 = 3

y /x = 9/3 = 3

y /x = 18/6 = 3

y /x = 36/12 = 3

relation is in variation.

Relation for  table C

y /x =  4/1 = 4

y /x =  6/3 = 2

y /x =  9/6 = 3/2

y /x =  15/12 = 5/3

Equation doesn't have a direct relationship between x and y.

Relation for  table D

y /x = 2/1 =2

y /x = 6/3 = 2

y /x = 12/6 = 2

y /x = 24/12 = 2

relation is in variation.

Hence the table C is not in variation.

Learn more about variation;

https://brainly.com/question/13977805

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Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

Answer:

2y=8/3x

Step-by-step explanation:

Answer:

0.419

Step-by-step explanation:

To calculate this, we shall make use of Bernoulli approximation of Binomial distribution

if 20% are defective, then 80% are not defective

Probability of selecting a defective fuse is 20/100 = 0.2

Probability of selecting a non defective one is 0.8

Probability of at least 1 being defective is = 1 - Probability of none being defective

Mathematically that will be;

0.8^8 = 0.168

The above is probability of none defective

So the probability of at least one will be

1 - 0.168 = 0.832

Probability of not more than 1 means;

Probability of none + probability of 1 being defective

We already have probability of none above

Probability of 1 being defective means 8 will be non defective

The probability in this case is;

8 C 1 0.2^1 0.8^7

= 8 * 0.2 * 0.8^7 = 0.336

Add this to the probability of none = 0.336 + 0.168 = 0.504

So the probability that we want to calculate from the question will be;

Probability of at least one defective * probability of not more than one defective

= 0.832 * 0.504 = 0.419

Answer:

0+5+20= 25 the answer is 25

Answer:

y = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.

Answer:

64

Step-by-step explanation:

If you do the work:

1) Start with the whole numbers

20 x 3 = 60

2) Move to multiplying fractions

20 x 1/5

2a) To do this, start by turning the whole number into a fraction

20 x 1

1       5

2b) Cross-multply

20 x 1 = 20

1    x 5 = 5

2c) Divide

20/5 = 4

3) Add products

60 + 4 = 64

Answer:

15

Step-by-step explanation:

3^2 + sqrt4 + 4

3^2 = 9

sqrt4 = 2

(9)+(2)+(4)=15

therefore, the answer is 15

Answer:

10 cans of Pepsi for $6.30

Answer:

4 cans of Pepsi for 2.40

Answer:

-8

Step-by-step explanation:

do exactly the same as you would for a positive number.

a negative and a positive make a negative so your answer should be negative

Answer:

-64 divided by 8 Equals

-8

Answer: X = 9

Step-by-step explanation:

First, Take 1 away from 10. 10 - 1 = 9. Then divide 9 by three. 9 divided by three is 3, so X = three.

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5