If BC = 14 and AB = 25, then

Answer:

x=-3

Step-by-step explanation:

5x=12+3

5x=15

divide both sides by 5

x=3

Answer:

plus 4 each month

Step-by-step explanation:

Step-by-step explanation:

The number of people to paint the bridge is inversely proportional to the number of hours it takes.

(If there are more people, it will take less time etc.)

9 people can paint the bridge in 5 hours.

=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.

Answer:

(a) h = 160 - 5·x

(b) V = 4·x² × h = 4·x² × (160 - 5·x) = 640·x² - 20·x³ = 20·x²·(32 - x)

∴ V = 20·x²·(32 - x)

Step-by-step explanation:

(a) The given dimensions of the cuboid (rectangular prism) are;

'4·x' meters by 'x' meters by 'h' meters

Let the 4·x meters represent the length, 'l', of the cuboid, let the x meters represent the width, 'w', of the cuboid, and let the h meters represent the height 'h' of the cuboid

Therefore, we are given that the cuboid is a wire cage, with the total length of the sides (edges) of the cuboid equal to 640 meters

Therefore, the sum of the edges are;

Top(4·x + x + 4·x + x) + Side(h + h + h + h) + Bottom(4·x + x + 4·x + x) = 640

20·x + 4·h = 640

∴ h = (640 - 20·x)/4 = 160 - 5·x

h = 160 - 5·x

(b) The volume of a cuboid, V, is given as follows;

V = The area of the base of the cuboid × The height of the cuboid

The area of the base of the cuboid = l × w = 4·x × x = 4·x²

The height of the cuboid = h = 160 - 5·x

∴ V = 4·x² × (160 - 5·x) = 640·x² - 20·x³

V = 640·x² - 20·x³ = 20·x²·(32 - x)

∴ V = 20·x²·(32 - x) QED.

Answer:

Area=63.96

Step-by-step explanation:

Given data

A flower bed is 2 meters wide and 3 meters long

convert to feets

1m to feet 3.28084

2m to feet x

x= 3.28084*2

x=6.5ft

3m to feet

=3.28084*3

=9.84ft

Area= 6.5*9.84

Area=63.96

answer:

18 - 3 should be done first.

step-by-step explanation:

this should be done because of PEMDAS. the rule states that between addition and subtraction, you have to go from left to right. therefore, 18-3 comes first when going from left to right.

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Answer:

no solution

Step-by-step explanation:

2x - 6 = -2 + 2x

0 = 4

no solution

Answer:

Option C (48x)

Step-by-step explanation:

Measure of sides of square = 12x in.

Formula for perimeter of a square = 4s (where s = sides of a square)

So, the expression will be = 4(12x) = 48x

9514 1404 393

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

Using the second equation, we can substitute for x in the first equation:

  6(y+3) -5y = 15

  y +18 = 15 . . . . . collect terms

  y = -3 . . . . . . . . . subtract 18

Using the second equation:

  x = y +3 = (-3) +3 = 0

The solution is ...

  x = 0

  y = -3

Answer:

12 INCHES

Step-by-step explanation:

lol

also might have to do with the ratio tho......but i forgot

Answer:

I think the answer is "D" 12 inches

Step-by-step explanation:

I think this because on the right it says 12 inches and the left and the right look like the same length. Hope this helped and if it's wrong I'm so sorry.

Answer:

I believe it is 5 I'm not sure if it is right

Answer:

A. 5

Step-by-step explanation:

use pythagorean theorem: a^2 + b^2 = c^2

but since we are finding the value of A; we'll use a= (square root) c^2 - b^2

A= 13^2- 12^2

A= 169 - 144

A= 25

A= 5 ( because we square root 25)

Answer:

x = -2

Step-by-step explanation:

If it’s parallel to the y-axis, it must be an x value that is straight up and down. The x coordinate here is -2 so the line must be vertical from -2 on the x-axis.

Answer:

14.2 units

Step-by-step explanation:

use the distance formula -  take the square root of the following:

([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2 +([tex]x_{2}[/tex]-[tex]x_{1}[/tex])^2

should be sq rt of 202, or approx 14.2 units

Option A is correct, (185 - x) = 76 equation can be solved to find x, the measure of 2

Two or more expressions with an Equal sign is called as Equation.

We have to find the equation can be solved to find x, the measure of z in the diagram below

The arc measure of TS is 185 degrees in the circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We use the equation to find the measure of z

(185 - x) = 76

Hence, option A is correct, (185 - x) = 76 equation can be solved to find x, the measure of 2

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Step-by-step explanation:

5x-17 and 3x-11 are supplementary angles

They add up to 180 degrees

5x-17 + 3x - 11 = 180

8x - 28 = 180

8x= 208

x= 26

3x-11, 90, and 2y + 5 added together equal 180

3x-11 + 90 + 2y + 5 = 180

3(26) - 11 + 2y + 5 = 90

78 - 6 + 2y = 90

72 + 2y = 90

2y = 18

y = 9

I hope this helps!!!

Answer:

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

The fraction would be the part of the number over the actual number.

The fraction would be 60/90

Dividing both numbers by 30, the fraction reduces to 2/3

The answer is 2/3

Answer:

Solution given:

let fraction be x.

equation becomes:

60/x=90

doing crisscrossed multiplication

60=90x

dividing both side by 90

60/90=90x/90

x=60/90

reduced the term

x=⅔

⅔ is fraction of 60 to get 90

Answer:

2$

Step-by-step explanation:

16$ times 5 = 80

80 divided by 40 =2

Answer:

$2

Step-by-step explanation:

Answer:

$1,956.95

Step-by-step explanation:

The school bought 47 sandwiches for $40.60

= 47 × 40.60

= 1,908.2

They also bought 39 bags of chips for $1.25

= 1.25×39

= 48.75

Therefore the total amount spent can be calculated as follows

= 48.75 + 1,908.2

= 1,956.95

Hence the total amount spent by the school is $1,956.95

Answer:

its b lol

Step-by-step explanation:

Answer is 203.

Average:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Given,

For double queen beds increment is $120 x 3% => $120 x (3/100) => 3.6.

The total rate for double queen beds = $120 + $3.6 = $123.6

For king beds increment is $140 x 3% => $140 x (3/100) => 4.2

The total rate for double queen beds = $140 + $4.2 = $144.2

For junior suite increment is $210 x 3% => $210 x (3/100) => 6.3

The total rate for junior suite = $210 + 6.3 = $216.3

For luxury suite increment is $320 x (3/100) => 9.6

The total rate for luxury suite = $320 + 9.6 = $329.6

The average rate =  ($123.6 + $144.2 + $216.3 + $329.6) / 4

=> $203.425 i.e., $203

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Step-by-step explanation:

2y + z = 13

2x + z = 11

x + y + z=12

x= -1

y= 0

z= 13

Answer:

1/3=2/6

Step-by-step explanation:

1*2=2

3*2=6

Answer: 1/3=2/6

Step-by-step explanation: the numerator (1) in the first fraction is half it is in the second (2). This means the denominator in the first question (unknown) will be half the second (6). Half of (6) is (3). Your answer is 3.

Answer:

Theres no equation here?

Step-by-step explanation:

y-y1 = m(x-x1) — point-intercept form

Given both x1 and y1 = coordinate point.

First​ we have to find the slope by using rise over run. (y2-y1)​/(x2-x1)​ = m

The slope should be m = -4 then we substitute m-value in point-slope form.

y-y1=-4(x-x1) — new equation. After substituting slope in, we need to find the coordinate point that is part of the graph. You can use any points that are given in the picture. I will use point F or (5,0).

Then we substitute x1 = 5 and y1 = 0 in the point-slope form

y-0=-4(x-5) — point-slope form

y=-4x+20 — slope-intercept​ form..

How about we change to another coordinate point to substitute in? We can check if these points also give same equation (slope-intercept).

Let's substitute (4,4) in the equation.

y-4=-4(x-4)

y=-4x+16+4

y=-4x+20

Same answer. Meaning that all these points that are shown can be substituted in the equation and get the same slope intercept form.

Therefore, point-slope form for the graph can be

y-4=-4(x-4)

you can also change the coordinate point value.

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Each Y value has its reprective x value and vise versa

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Answer:

Graph (1)

Step-by-step explanation:

Given equation of the graph is,

y = 20(1.25)ˣ

Table for the input - output values of the function,

x          -2          -1          0          

y         12.8        16        20  

These points lie on curve (1).

Therefore, curve (1) will be the graph represented by the equation.