Make x the subject of the formula x a + b = c

Answer:

Step-by-step explanation:

Answer:

First Position: √22

Second Position: √19

Third Position: √21

Fourth Position: √18

Answer:

800 ft, you should write ur own sentence tho

Step-by-step explanation:

520 - (-280) = 800

Answer:

D = 3J and D + 20 = 2(J + 20) - 2

Step-by-step explanation:

the first part is obvious. Dad is 3 times as old as his son = D=3J

the second part you're adding 20 years to both Dad and Jim = D + 20 and J+20. now Dad is 2 less than twice Jim's age -> D+20 = 2(J+20)-2

Answer:

Solution given:

<J=90°[tangent to the circle is perpendicular to radius]

In right angled triangle ∆KJL

base[b]=11

hypotenuse [h]=11+7=18

perpendicular [p]=x

by using Pythagoras law

p²+b²=h²

x²+11²=18²

x²=18²-11²

x=√203

x=14.25

Answer: i think its 21! how idfk but it was on some website...dont hatecrime me!

Step-by-step explanation:

The area of the shaded region which is inside the triangle but not in a circle is 22.43 sq. inches.

A triangle is a geometrical figure with 3 angles, 3 edges, and 3 vertices. It is one of the most basic geometrical figures.

Given that

Vertices A, B, and C of a triangle, ΔABC are centers of three circles touching each other.

As the triangle, ΔABC is an equilateral triangle,

therefore,

∠A = ∠B = ∠C = 60°. (Since the sum of all angles is 180° and the angles of an equilateral triangle are equal.)

To obtain the area of the shady region, it is needed to obtain the areas of the triangle and of the quadrants of each circle.

Area of ΔABC = [tex]\frac{\sqrt{3}}{4} a^2[/tex], where a is the length of the equal sides.

Here, a = 2 × radius of the circles

So, a = 2 × 6 = 12 inches.

Now,

Area of ΔABC = [tex]\frac{\sqrt{3}}{4} 12^2[/tex]

                        [tex]=\frac{\sqrt{3}}{4} \times144\\=\sqrt3 \times 36\\=36\sqrt3\ sq.\ inches\\= 62.35\ sq.\ inches[/tex]

Area of a quadrant of a circle = [tex]\frac{1}{4}\pi r^2[/tex]

The sum of areas of quadrants of three circles = [tex]3\times\frac{1}{4}\pi r^2[/tex]

                                                                              [tex]= 3\times\frac{1}{4}\times3.14\times 6^2\\= 3\times\frac{1}{4}\times3.14\times 36\\= 84.78\ sq.\ inches[/tex]

Area of the shaded region = The sum of areas of quadrants of three circles - Area of ΔABC

Area of the shaded region = 84.78 - 62.35

                                             = 22.43 sq. inches.

Thus the area of the shaded region is 22.43 sq. inches.

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Answer:

The circumference of the circle is about 52.1 yards

Step-by-step explanation:

C=πd

C=2πr

C=2π(8.3)

C=16.6π

C≈16.6(3.14)

C≈52.124 yds

C≈52.1 yds

Answer:

13

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Mean- 6

Median- 6

Mode- 3, 4, 5, 7, 9, 10, 2, 8

Range- 8

Hope this Helped! :T

Answer:

about 8.40

Step-by-step explanation:

16.82-8.264

Rounding 16.82

rounding 8.264

16.80-8.40=8.40

Answer:

x = 7

Step-by-step explanation:

Let

x = the unknown number

double it :

2x

add 11:

2x + 11

I get 25:

The equation is

2x + 11 = 25

2x = 25 - 12

2x = 14

Divide both sides by 2

x = 14/2

x = 7

Answer: 40%

48 cars

Step-by-step explanation:

120 divided b7 15 = 8, 8 times 5 = 48

48/120 is 40%

40% percent of the cars were previously damaged in a accident out of 120 in the lot. Do 120 ÷ 15 then divide that by 6 to get your answer of 40%

The best estimate of the percent of the used-car lot's vehicles that have previously been in an accident is 40%

A Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

It is given that

A used car lot has 120 vehicles for sale. A sample of 15 of these vehicles finds that 6 of them have previously been in an accident.

if in 15 cars 6 of them have been in an accident

then in 120 vehicles = 120*6/15

48 cars have been in an accident

Now the best estimate of the percent of the used-car lot's vehicles that have previously been in an accident.

(48/120 ) *100

= 40%

Therefore the percent of the used-car lot's vehicles that have previously been in an accident is 40% .

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Answer:

-5

Step-by-step explanation:

Make:

(-5)³ = (-5)×(-5)×(-5) = 25×(-5) = -125

Answer:

For number 1 the answer should be independent.

For number 2 the answer should be independent

And number 3 should also be independent

Step-by-step explanation:

My explanation is that they are all independent because you aren't depending on someone to help you do these things, therefore, independent.

I hope this helps :)

Answer:

Function: y = x - 6

input        output

1                 -5

2                 -4

3                 -3

4                 -1

Answer:

D

Step-by-step explanation:

since this feels like a sequence, a1 should be the first Expression to the arimethic sequence and the rest should be the (n - 1)d so I think it should be 1/2 + 4(an - 1)

note: arimethic sequence formula is a + (n - 1)d

Answer:

$6.30

Step-by-step explanation:

Answer:

The tip should be $6.30

Step-by-step explanation:

We can find 15 percent of 42$ by multiplying 42 by 0.15 (this is another way of writing down 15%) and so we get...

(42)(0.15) = 6.3

Therefore the tip should be $6.30

Answer:

36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.

Step-by-step explanation:

The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.

Answer:

the answer is 6 trips.

Step-by-step explanation:

Answer:

5:30 pm.

Step-by-step explanation:

First find the LCM (lowest common multiple) of 25 and 30. This is the amount of minutes it will take for the buses to meet again.

25 can be broken up into 5*5

30 can be broken up into 5*6

The most amount of 5s found in a number is two times in 25 and the most amount of 6s found in a number is once in 30, so

25*6=150

150 is the LCM. This means that in 150 minutes, the buses will be back at the bus depot together.

All we have to do now is convert 150 minutes to hours.

One hour is 60 minutes, so 150/60 is 2.5 hours, or 2 hours and 30 minutes.

2 hours and 30 minutes after 3 pm is 5:30 pm.

The question is incomplete. The complete question is :

Victor is selling lemonade to raise money for his school. The amount of money he collected from his sales each day is summarized on the box plot below.

What is the interquartile range of the data ?

Answer:

$ 7

Step-by-step explanation:

It is given that Victor sold lemonade in order to raise money for his school.

The money that Victor collected is shown on the diagram below.

Therefore, we find the interquartile range. It is the difference between the 3rd quartile and the 1st quartile, i.e.

IQR = [tex]$Q_3-Q_1$[/tex]

Now from the figure, the 3rd quartile is the value that is at the end of the rectangular box towards the right. Therefore, the 3rd quartile is =  $ 29

Similarly from the figure the 1st quartile at the beginning of the rectangular box to the left is = $ 22

So the interquartile range is = 3rd quartile - 1st quartile

                                               = 29 - 22

                                                = $ 7

Thus the amount of money Victor collected is $ 7.

Answer:

The slope of the line y = 1 is zero.

Answer:

m = 0

Step-by-step explanation:

The line y = 1 is a horizontal one.  All horizontal lines have the slope 0 (zero).

Answer:

Solution given:

The volume of two similar solids are 128 m³

and 250 m³.

surface area of larger solid is 250m²

let surface area of smaller solid be x.

Since they are similar

[tex] \frac{250}{128} = \frac{250}{x} [/tex]

x=128

the surface are of the

smaller solid is 128m²

Answer: [tex]11\ \text{pounds}\ 6\ \text{ounces}[/tex]

Step-by-step explanation:

Given

Issac and Isaiah born weighing 6 pounds 2 ounces and 5 pounds and 4 ounces.

1 Pound is equivalent to 16 ounces

Issac weighs

[tex]\Rightarrow 6+\dfrac{2}{16}\ \text{Pounds}[/tex]

Isaiah weighs

[tex]\Rightarrow 5+\dfrac{4}{16}\ \text{Pounds}[/tex]

Their combined weight is

[tex]\Rightarrow 6+5+\dfrac{2}{16}+\dfrac{4}{16}\\\\\Rightarrow 11+\dfrac{6}{16}\ or\\\\\Rightarrow 11\ \text{pounds}\ 6\ \text{ounces}[/tex]

Answer:

Step-by-step explanation:

rational number equivalent to 3/8 is 6/16

3*2/8*2=6/16

Multiplying both numerator and denominator with same number

Answer:

b

Step-by-step explanation:

The tangent- tangent angle x is half the difference of its intercepted arcs.

Th sum of the arcs in a circle = 360°

major arc = 360° - 90° = 270° , then

x = [tex]\frac{1}{2}[/tex] (270 - 90)° = [tex]\frac{1}{2}[/tex] × 180° = 90° → b

Answer:

D

Step-by-step explanation:

We can use two proportion to solve this problem

2 : 5 = 10 : x

x = (5 * 10)/2 = 25 feet

2 : 5 = 6 : x

x = (6*5)/2 = 15 feet

Answer:

-0.25x-5

Step-by-step explanation: