TR = 3x + 5, and RA = x + 17. Find the value of x.

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

The ratio of the perimeter of the squares = 2 : 7

Required: The ratio of the area of the smaller square to the larger square.

Solution: The perimeter of a square of side x is 4•x

The comparative length of the side of each square are therefore;

2/4 and 7/4

The comparative area are therefore;

The ratio of the areas of the square is therefore;

(2/4)² : (7/4)² = 1/4 : 49/16

Multiplying both sides of the ratio by 16 gives;

16×1/4 : 16×49/16

4:49

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Answer:

12

Step-by-step explanation:

Answer:

2.08

Step-by-step explanation:

Answer: 45.1 minutes

Step-by-step explanation:

From the question, we are informed that a 150-pound person uses 5.1 calories per minute when walking at a speed of 4 mph. The number of.

minutes that the person must walk at this speed to use at least 230 ​calories will be:

Let the number of minutes to walk be represented by x

(5.1 × x) = 230

5.1x = 230

x = 230 / 5.1

= 45.1 minutes

This problem is incomplete, but applying the relation between velocity, distance and time, LeBron could find the flight with the fastest average speed dividing distance by time.

Velocity is distance divided by time, that is:

v = d/t.

Hence, to find the fastest flight, he needs the highest speed, which is found  dividing distance by time.

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Answer:

Step-by-step explanation:

Answer:

D. f(x) = 8x

Step-by-step explanation:

At each increasing x point, the y point increases by 8, this means that for each x increasing by 1, y increases by 8, which means y = 8x

Answer:

Fourth choice, f(x) = 8x

Step-by-step explanation:

y is going up or down and x is left or right, u riht the slope like y/x

so it's going up 8 units every 1 unit it goes to the right so it's 8/1 which is 8 so 8 is ur slope

Answer:

y=−9/2x+11

Step-by-step explanation:

Answer:

a) The slope of the line is [tex]-\frac{12}{5}[/tex]

b) The slope of the line is 1

Step-by-step explanation:

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

a)

∵ The line passes through points (-3, 4) and (2, -8)

∴ x1 = -3 and y1 = 4

∴ x2 = 2 and y2 = -8

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-8-4}{2--3}[/tex] = [tex]\frac{-12}{2+3}[/tex] =  [tex]\frac{-12}{5}[/tex]

∴ m = [tex]-\frac{12}{5}[/tex]

∴ The slope of the line is [tex]-\frac{12}{5}[/tex]

b)

∵ The line passes through points (5, -3) and (1, -7)

∴ x1 = 5 and y1 = -3

∴ x2 = 1 and y2 = -7

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-7--3}{1-5}[/tex] = [tex]\frac{-7+3}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]

∴ m = 1

∴ The slope of the line is 1

Answer:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

Step-by-step explanation:

Answer:

B. 14

Step-by-step explanation:

Those little lines on the sides of the triangles shows you which side is congruent to which, so x + 3 is congruent to the other triangle side which one small line, and 18cm and 2x - 4 is congruent.

2x - 4 = 18

add 4 to both sides

2x = 22

divide by 2

x = 11

Replace the x with 11

x + 3

11 + 3

14

Answer:

ok, i hate questions like these because i don't want to answer them

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You move left 6 times which would be -6 and you move down 6 times which would also be -6

Answer:

plot points (0, -1) and (3, 0)

Step-by-step explanation:

compare the given equation to

y=mx +b where b is the y-intercept

y= 1/3 x -1 so thhe y-intercept is at point (0, -1)

to find the x-intercept make y=0

x/3  -1 =0

x/3  =1

x= 3 so x-intercept is at point (3, 0)

Hi there!

[tex]\large\boxed{a = 6 m/s^{2}}[/tex]

Use the kinematic equation to solve for acceleration:

[tex]a = \frac{v_{f}-v_{i}}{t}[/tex]

Where:

vf = final velocity

vi = initial velocity

t = time

Plug in the given values:

[tex]a = \frac{65-35}{5}\\\\a = 30 / 5 \\\\=6 m/s^{2}[/tex]

Answer:

hold up this will take a min to work out

Step-by-step explanation:

Answer:

1.) CIRCLE B

2.) 14 cm ; 7cm ; 154cm²

Step-by-step explanation:

Given that:

CIRCLE A:

Diameter (d) = 9cm

CIRCLE B:

Radius (r) = 5cm

Circumference of circle A:

Radius (r) = diameter / 2

C = 2 * pi * r = 2 * 3.14 * (9/2) = 28.26 cm

Circumference of Circle B:

C = 2 * pi * r = 2 * 3.14 * 5 = 31.4 cm

CIRCLE B has the larger Circumference.

2.) circle with Circumference (C) = 44cm

Diameter of circle ;

C = 2 * pi * (d/2)

44 = 2 * 3.14 * (d/2)

44 = 6.28d / 2

88 = 6.28d

d = 14.01 = 14.0 cm ( 1 decimal place)

B.) Circle's Radius

Radius = diameter / 2

Radius = 14.0 / 2 = 7 cm

C.) Area (A) of the circle :

A = pi * r^2

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86

A = 154 cm²

Answer:

the answer is $24

Step-by-step explanation:

more filler stuff

Answer:

8$

Step-by-step explanation:

to get the answer multiply the orignial price by .75

then subtract that number from the original.

if you dont mind giving a rating on this thanks :)

Answer:

D

Step-by-step explanation:

D is the only answer given as a ratio, the rest are not.

Answer:

D

Step-by-step explanation:

It is given in ratio and looks correct.

Answer:

2 juices

because 32 is 16 multiplied by 2, so to get the answer, you have to multply everything by two, and sense it does't ask for the amount of ounces, you simply say, to juices

hope i helped......

Answer:

12 OUNCES

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

wheres the diagram

Step-by-step explanation:

Answer:

x+4/2=9       x=14

Step-by-step explanation:

14+4=18 and 19/2 is equal to 9. Therefore the answer is 14.

Answer: 98

Step-by-step explanation: Subtract the biggest number from the smallest. 100-2=98

Answer:

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

P is currently at a height of 3 cm. in 2 days it'll have grown 2 cm (0.5 x 2), meaning it'll measure 5 cm.

Q is currently at a height of 5 cm. in 2 days it'll have grown 3 cm (1.5 x 2), meaning it'll measure 8cm.

8-5=3

Q will be 3 cm taller than P

Plant B produces 6000 panels.

Given that, Plant A produces 18,000 panels out of 2% are defective and 6% of the panels produced by Plant B are defective.

Defective percentage : It is the number of defects divided by the sample size, multiplied by 100. So, if one tool is defective out of a sample size of 1,000, your percent defective is 0.1 percent.

No. of Defective Panels from Plant A + No. of Defective Panels from Plant B = Total No. of Defective panels

Let No. of Panels produced from Plant A = A and No. of Panels produce from Plant B = B

2% of 18000 + 6% of B = 3% of (18000 + B)

360 + 0.06*B = 0.03( 18000 + B)

360 + 0.06* B = 540 + 0.03*B

0.06*B - 0.03B = 540-360

0.03*B = 180

 3B = 18000

B = 6000

CHECK:

2% of 18000 + 6% of 6000 = 360+360 = 720 defectives

18000 + 6000 = 24000

720 out of 24000 = 720/24000 = 72/2400 = 3%

Hence, Plant A produces 18000 panels and 2% of them , or 360, are defective.

Plant B produces 6000 panels and 6% of them,  or 360, are defective.

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Answer:

rotation 180 about the origin

Step-by-step explanation:

Answer:

Rotation of 180° about the origin.

Answer:

A, 0.07 x 0.06 =0.42.

Step-by-step explanation:

Answer:

c

Step-by-step explanation: