Solve the system: {-2(a-b)+16=3(b+7), 6a-(a-5)=-8-(b+1)

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

Answer:

25

Step-by-step explanation:

d=2r

2r=25+25=50

d=50

Radius =25

Answer:

25 yds

Step-by-step explanation:

2*radius=diameter

radius=d/2

r=50/2

r=25yds

Answer:

|8|a + |35|     or      = |-8|a+|-35_|

Step-by-step explanation:

8(a+5)=8•a+8•5

         =8a+35

         = |8|a + |35|     or      = |-8|a+|-35_|

Answer:

-14

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2x-18=0

2x=18 /:2

x=9

Answer:

Sample proportion ; phat

x / n

Step-by-step explanation:

The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.

The sample proportion is expressed Mathematically as ;

phat = x / n

x = number of subjects with a specified characteristic ;

n = total sample size

For instance ;

The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :

phat = x / n = 15 / 100 = 0.15

Answer:

The answer is D .

Step-by-step explanation:

Hope it was helpful .

Answer:

4/3

Step-by-step explanation:

The answer, when perpendicular, is always the reciprocal

Answer:3.2

Step-by-step explanation:

3.2 because x =16/5=3 1/5=3.2

The equation that represents Genevieve's brother is y = 18/2.

The equation that represents Genevieve's age:

21 = 3 + 2Y

Where Y represents Genevieve's brother age

In order to determine the required equation, make y the subject of the formula

21 - 3 = 2y

18 = 2y

y = 18/2

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Answer:B

Step-by-step explanation:

Its b,i swear on my doggie

Answer:

18x^2 - 30x

Step-by-step explanation:

Distribution:

You just have to distribute 6x by each term in the parenthesis.

Equation: 6x(3x-5)

(You can also think of it as: 6x * 3x + 6x * -5)

18x^2 - 30x

This is as simplified as can it can be.

(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).

Answer:

x = 30

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2.5}{5}[/tex] = [tex]\frac{1}{2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = 30

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Step-by-step explanation:

Scale factor =5/2

length=5/2×18= 45

width=5/2×12= 30

perimeter = 2(L+W)

=(45×2+30×2)

90 +60

=150 inches

Question:

If a stack of 40 nickels fits snugly in the coin wrapper shown, how thick is 1 nickel? Round to the nearest hundredth.

Coin wrapper volume = 27,480 mm^3

Coin diameter = 21.18 mm

Answer:

The thickness of a coin is: 1.95mm

Step-by-step explanation:

Given

[tex]V = 27480mm^3[/tex] -- volume

[tex]d = 21.88mm[/tex] --- the diameter

Required

The thickness of each coin

This implies that, we calculate the height of each coin.

First, calculate the radius (r) of the coin

[tex]r = \frac{1}{2}d[/tex]

[tex]r = \frac{1}{2} * 21.18mm[/tex]

[tex]r = 10.59mm[/tex]

The volume of the coin is calculated as:

[tex]V =\pi r^2H[/tex]

Where H represents the total heights of the 40 coins

[tex]27480 = 3.14 * 10.58^2 * H[/tex]

Solve for H

[tex]H = \frac{27480 }{ 3.14 * 10.58^2}[/tex]

[tex]H = \frac{27480 }{ 351.480296}[/tex]

[tex]H = 78.1836145944[/tex]

The height of a coin is calculated by dividing H by 40

[tex]h = \frac{78.1836145944}{40}[/tex]

[tex]h = 1.95459036486[/tex]

[tex]h \approx 1.95mm[/tex]

Hence, the thickness of a coin is: 1.95mm

Answer:

C

Step-by-step explanation:

EDGE

Answer:

[tex]A=1250m^2[/tex]

Step-by-step explanation:

From the question we are told that

Dimension of drawing

20 centimetres by 10 centimetres

Scale of drawing

1 cm:250 cm

Generally the the Main dimension of the pool is mathematically given as

[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]

Therefore Area Aof main pool is mathematically given as

[tex]A=50m*25m=1250 m^2[/tex]

[tex]A=1250m^2[/tex]

Answer:(D and E)

Step-by-step explanation:I know this because I got it right in usa test prep

Answer:

A and C

Step-by-step explanation: I just took the quizz

Answer: 5x

Step-by-step explanation:

5x + 3x = 8x

Answer: Question

find the missing term in the equation below (?+5)+(3x-2)=8x+3

(5x+5)+(3x-2)=8x+3

5x+5+3x-2

5x+3x+5-2

8x+3

therefore, answer proved

PLZ ACCEPT MY EFFORT

5 STAR +THANKS  :(

Answer:

Equation: 2x + 13 = 5x - 20

x = 11

<FDG = 35

Step-by-step explanation:

These are vertical angles so they're equal to each other:

2x + 13 = 5x - 20

2x - 5x = -20 - 13

-3x = -33

x = 11

<FDG:

5x - 20

5(11) - 20

55 - 20

35

Answer:

3458

Step-by-step explanation:

Answer:

approx. 15.23

Step-by-step explanation:

6^2+14^2=c^2

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

Answer:7n+28

Step-by-step explanation:

Answer:

<B is 53.13degrees

Step-by-step explanation:

Find the diagram attached

Given

Opposite side= 4 (side facing <B)

Adjacent side = 3

Required

<B

According to SOH CAH TOAS identity

tan theta = opp/adj

tan<B = 4/3

<B = arctan(4/3)

<B = arctan(1.3333)

<B = 53.13 degrees

Hence the angle <B is 53.13degrees based on the diagram

The values less than 4 or greater than 14 cannot be the length of the third side

From the question, we have the following parameters that can be used in our computation:

Side lengths of 9 and 5.

Represent the third length of the triangle with x

So, we have the following representation (using the triangle inequality theorem)

a + b ≥ c.

Substitute the known values in the above equation, so, we have the following representation

9 + 5 ≥ x

9 + x ≥ 5

5 + x ≥ 9

Evaluate the sum

14 ≥ x

x ≥ -4

x ≥ 4

So, we have

14 ≥ x

x ≥ 4

Combine

4 ≤ x ≤ 14

This means that values less than 4 or greater than 14 cannot be the length of the third side

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The measure that  cannot be the length of the third side is 14. Option

An important rule to remember about triangles is called the third side rule:

Third side rule of triangles states that;

The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.

For this triangle, the length of the third side must be greater than

9- 5= 4

Also, the length of the third side must be less than

9 + 5 = 14

Hence,  all the answers are possible except for answer D, which is equal to 14 but not less than 14.

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The Complete question is added as:

A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

a. 4

b. 5

c. 11

d. 14