MATHEMATICS MIDDLE SCHOOL

This table shows a linear relationship. x 3 4 5 6 7 y 14 18 22 26 30 Based on the information in this table, which equation can be used to model the relationship between x and y? Responses y = 4x + 2 y, = 4, x, + 2 y = 2x + 4 y, = 2, x, + 4 y = 4x y, = 4, x y = 2x

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

y = mx + b

Where:

y is the dependent variable (in this case, the values in the "y" column).

x is the independent variable (in this case, the values in the "x" column).

m is the slope of the line.

b is the y-intercept (the value of y when x is 0).

We can calculate the slope (m) using two points from the table. Let's use the points (3, 14) and (7, 30):

m = (y2 - y1) / (x2 - x1)

m = (30 - 14) / (7 - 3)

m = 16 / 4

m = 4

Now that we have found the slope (m), we can determine the equation:

y = 4x + b

To find the y-intercept (b), we can use one of the points from the table. Let's use the point (3, 14):

14 = 4(3) + b

14 = 12 + b

Now, solve for b:

b = 14 - 12

b = 2

So, the equation that models the relationship between x and y in the table is:

y = 4x + 2

Therefore, the correct equation is: y = 4x + 2.

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In a school of 260 children, 55% are girls. How many girls are there? At the same school, 10% of children leave for a school trip. How many pupils go on the trip?

Answers

Number of children in a school = 260
Percentage of girls in the school = 55%
Number of girls in the school = (55/100) * 260
      = 14300/100
   = 143
So there were 143 girls in the school among 260 children
Percentage of children going for the school trip = 10%
Then
Number of students going for the school trip = (10/100) * 260
      = 26
So 26 children are going for the school trip. I hope the procedure is clear enough for you to face similar problems in future.

260 children* (55/100)= 143 students.
There are 143 girls~

260 children* (10/100)= 26 students.
26 students go on the trip~

Hope this helps~

If the terminal ray of β lies in the fourth quadrant and sin (β) = -√3/3 determine cos(β) in simplest form.

Answers

Answer:

$cos(\beta)=(√(6))/(3)}$

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

$sin^2(\beta)+cos^2(\beta)=1$

we have

$sin(\beta)=-(√(3))/(3)$

substitute

$(-(√(3))/(3))^2+cos^2(\beta)=1$

$(3)/(9)+cos^2(\beta)=1$

$cos^2(\beta)=1-(3)/(9)$

$cos^2(\beta)=(6)/(9)$

apply root square both sides

$cos(\beta)=(√(6))/(3)}$

A product costs $60 today. How much will the product cost in t days if the price is reduced by $4 a day

Answers

Answer:

$C=60-4t$

Step-by-step explanation:

A product costs $60 today.

The price is reduced by $4 a day, so

a product will cost $60 - $4 = $56 tomorrow;
a product will cost $56 - $4 = $52 after 2 days;
a product will cost $52 - $4 = $48 after 3 days;
and so on

The genaral formula for the price of the product after t days will be

$C=60-4t$

Alba needed to know about how much the sum of 19.6, 23.8, and 38.4 is. She correctly rounded each of these numbers to the nearest whole number. What three numbers did she use? *A 19, 23, 23
B 19, 24, 38
C 20, 24, 38
D 20, 24, 39

Answers

If the number after the decimal is 1-4 you drop it, if it's 5-9 you add one to the whole number. In 19.6, 6 is 5-9 so you add one to 19- 19.6=20. In 23.8, 8 is 5-9 so add one to 23- 23.8=24. In 38.4, 4 is 1-4 so you drop it- 38.4=38. So the answer is C. 20, 24, 38 :) hope this helps

I don't the graphing part of the homework

Answers

Problem 4-25
a. ii - Relation: When the latitude increases, the temperature decreases.
b. iv - Relation: all cars regardless of the weight goes at the same speed.
c. iii - Relation: No relationship
d. i - Relation: People with more expensive homes have more expensive cars.

System of Equations Part
You can plug these (x,y) values in one of the equations to see if it is true.
a. (1,2)
b. (0,-4)
c. (3,7)

In the first session 40 student attended.Of these 40 students 60% were girls. How many girls attended the first session of swimming lessons?

Answers

24 girls

60% is 0.6
40 x 0.6 = 24

10% of 40 is 4.

4 x 6 = 24

There were 24 girls.

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