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Answer:

142.76 inches

Step-by-step explanation:

This is a combination problem, so add the two quantities to find the sum.

134.46 inches + 8.3 inches = 142.76 inches

Answer:

A perfect square is a number whose product value is an integer. If you change any integer you will always get a even number.

Step-by-step explanation:

Answer:

40 and 35

Step-by-step explanation:

If we say the first car uses x gallons then the second car must use 75 - x gallons.

The distance travelled is the number of gallons used * the efficiency of the car.

20x + 15(75-x)=1325

20x + 1125 - 15x = 1325

5x = 200

x = 40

This means that the first car uses 40 gallons and the second car uses 75-40= 35 gallons

Answer:

17 horses and 19 geese

Step-by-step explanation:

Let x be the number of horses and y be the number of geese

We know that, horses have four feet and geese have 2 feet

It is given that

x+y=36 (i)

and

4x+2y=106 (ii)

Solve the two equations simultaneously by substitution,

From equation (i)

y=36-x (iii)

Substitute y with 36-x in equation (ii)

4x+2(36-x)=106

4x+72-2x=106

4x-2x=106-72

2x=34

x=17

Then

Substitute x=17 to equation (iii)

y=36-17=19

x=17, y=19

We therefore have 17 horses and 19 geese

Answer:

$79.6

Step-by-step explanation:

9.95 x 8 = 79.6

Answer:

6a + 6 is answer

Step-by-step explanation:

may be this is helpful!

Answer:

I got -9x^3-10x^2+10x-2

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

4x - 2 - 8x = 22

-4x - 2 = 22

-4x = 24

4x = -24

x = -6

Answer:

2.57 yards longer

Step-by-step explanation:

Step one:

given data

We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles

Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards

Required

Unit conversion from yards to miles

Step two:

let us convert 41,940 yards to miles

We know that 1 yard is 0.000568182 miles

hence 41,940 yards is x miles

cross multiply we have

x= 41,940*0.000568182

x=23.83 yards

Hence the difference in their lengths is

=26.4-23.83

=2.57 yards

Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps

Answer:

187.96cm

Step-by-step explanation:

Answer:

187.96 centimeters tall

Answer:

y=  3/4

Step-by-step explanation:

Answer:

y=3/4

Step-by-step explanation:

4/3y=1

divide both sides by 4/3

1 divided by 4/3 is 3/4 so:

y=3/4

[tex]3(4 - 2x) = - 2x[/tex]

[tex]12 - 6x = - 2x[/tex]

[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

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9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The product of secant lengths to the near and far circle intercepts is the same for both secants:

  3 · (3+5) = 4 · (4+x)

  24 = 4(4 +x) . . . . simplify

  6 = 4 +x . . . . . . . .divide by 4

  2 = x  . . . . . . . . .  subtract 4

Answer:

Equation: r-20=74

Step-by-step explanation:

So he started with 94. I got B

Answer:

11/5

Step-by-step explanation:

2 x 5 = 10

10 + 1 = 11

11/5

Answer:

M = rise/run is the formula

Step-by-step explanation:

That's it

Answer: The probability is that it has a 50/50 chance of landing on either side

Step-by-step explanation:

Answer:

Number of cars needed for the trip = 11

Step-by-step explanation:

Given that:

Number of children = 40

Number of adults = 12

Total number = 40 + 12 = 52 people

Each car can hold 5 people.

Number of cars = [tex]\frac{52}{5}[/tex]

Number of cars = 10.4

Rounding off to next whole number as one car can hold a maximum of 5 people.

Number of cars = 11

Hence,

Number of cars needed for the trip = 11

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]

Answer:

the ones with 16 dollar jeans

Answer:

198

Step-by-step explanation:

From the equation, the number of lemonade will be 306.

Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:

= $245/70

= $3.5

The price of a glass of lemonade is 2.7 times less, the price will be:

= $3.5 - $2.7

= $0.8

Therefore, the number of lemonade that can be bought will be:

= 245/0.8

= 306

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Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

Answer:

(2x+1)^2 or 4x^2+4x+1

Step-by-step explanation:

I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1

You first need to find g(x) which is 2x+1

You then take the f(x) function and replace x with 2x+1

This means our new equation is

(2x+1)^2

Your teacher may or may not want you stop here, really only you know the answer to that

But if we expand this we'll find that (2x+1)^2=4x^2+4x+1

The equivalent expression of (f o g) is 4x² + 4x + 1.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions are given.

f(x) = x²

g(x) - 2x + 1

Now,

(f o g)(x) = f(g(x))

g(x) - 2x + 1

So,

f(g(x)) = f(2x + 1)

Now,

f(2x + 1)

= (2x + 1)²

= 4x² + 4x + 1

Thus,

The expression of (f o g) is 4x² + 4x + 1.

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Answer:  -18

Step-by-step explanation:

It is decreasing so the now will become negative since it is same as losing some points.

Answer:

480/11

Step-by-step explanation:

8:11 as x:60

480 = 11x

x= 480/11

Pls mark Brainiest :)

Answer:

C+B

Step-by-step explanation:

you add A + B = C

Answer:

A=10

B=35

Step-by-step explanation: