18 An architect diagrams two sidewalks to go between the pool, grass, and seating areas as shown below. у Sedang Distance (meters) 600 Nom grass pool 1 1 2 3 4 5 6 7 8 4 7 8 x​

Answer:

Step-by-step explanation:

y = ax + b

The trick is to solve for a.

y = 505

x = 8

b = 25

505 = a*8 + 25                Subtract 25 from both sides

-25             -25

480 = 8a

a = 60

What this means is that for each one of the 8 months, he added 60 dollars into his account

The equation is y = 60*x + 25

Answer:

=44%of25

=44/100*25

=44/4

=11

Answer:

54

Step-by-step explanation:

Answer:

The value of x = 33 units (Approx.)

Step-by-step explanation:

Given triangle is a right angle triangle;

So,

Base of triangle = 18 unit

Angle with base = 57°

Find:

The value of x

Computation:

Using trigonometry function;

Cosθ = Base of triangle  / Hypotenuse triangle

Cos57 = 18 / x

0.544 = 18 / x

The value of x = 18 / 0.544

The value of x = 33.088

The value of x = 33 units (Approx.)

Answer:

3 5/12

Step-by-step explanation:

Answer:

3 5/12

Step-by-step explanation:

4 1/4-5/6

Get a common denominator of 12

4 1/4 *3/3 - 5/6 *2/2

4 3/12 - 10/12

Borrow from the 4

3 + 12/12 + 3/12 - 10 /12

3 15/12 - 10/12

3 5/12

Answer:

52 miles

Step-by-step explanation:

You can use simple law of proportions to calculate this one.

[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]

solve for x and you get 52 miles.

I have added a similar example below if that helps further explain this.

Answer:

60000 points per game

Step-by-step explanation:

Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game​.

Solution:

Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.

Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:

Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game

Answer:D

Step-by-step explanation:

Answer:

48r

Step-by-step explanation:

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

Answer:

Step-by-step explanation:

A company paid S /. 72 180 for a batch of 36 laptops and S /. 101 220 for a batch of 84 printers. What is the price per unit of each product?

For Laptops

72 180/36

= 2005

For Printers

101 220/84

= 1205

Step-by-step explanation:

12360 is the answer to the problem

Answer:

[tex]{ \boxed{a = 3.75}}[/tex]

[tex]{ \boxed{b = 16}}[/tex]

Step-by-step explanation:

[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

Answer:

Equation: 180 = 127.50 + 3.5x

Angle 1: 135.45°

Angle 2: 44.55°

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

9/4x + 101.7 + 1 1/4x +25.8 = 180

Change the mixed number to an improper fraction

9/4x + 101.7 + 5/4x +25.8 = 180

Combine like terms

14/4x +127.5 = 180

Subtract 127.5 from each side

14/4x = 180-127.5

14/4x = 52.5

Multiply each side by 4/14 to isolate x

x =52.5 * 4/14

x = 15

Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45

Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55

Answer:

-3/5

Step-by-step explanation:

The slopes of perpendicular lines are negative recipricals

The negative reciprocal of 5/3 is -3/5

Answer:

Hi, there your answer is yes it is a function

Step-by-step explanation:

A function is when x is not repeating itself like -3, 3

A not a function is when x is repeating for example like 3,3

Hope this Helps :)

Answer:

5.8

Step-by-step explanation:

Explanation:

The negative exponent means we apply the reciprocal to get the exponent to be positive.

The rule is (a/b)^(-c) = (b/a)^c

That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.

Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.

Answer:

B

Step-by-step explanation:

1/1 ÷ (1/4)³ = 1 x 4³ = 64

Answer:

la raíz cuadrada entre 3

Answer:

B) 2.25

Step-by-step explanation:

Given:

x = -2

y = 4

z = -5

Work:

[tex]\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25[/tex]

Answer:

12 right 6 up (12,6) and 3:1 or 3

Step-by-step explanation:

Answer:

It is 40 I hope that it is helpful have a nice day

Answer:option D is correct

Step-by-step explanation:

Answer:

y = -3x + 5

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

step 1 identify the slope

slope = change in y over change in x.

Looking at the graphed line, as y goes up 6 x goes down 2

Hence, slope (m) = 6 / - 2 or -3

Step 2: identify the y intercept ( b )

b = The y value of the coordinate where the line passes the y axis.

The line passes the y axis at point ( 0 , 5 )

The y value of that coordinate is 5

Therefore b = 5

Step 3 add everything together

y = mx + b

* replace m with -3 and b with 5 *

the equation of the line in slope intercept form is y = -3x + 5

Answer: 10,985 students

Step-by-step explanation:

You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:

Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years

Number of years = 2010 - 1995 = 15 years

Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵

= 10,985 students