A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can also be carried by the hot air balloon?

Answer:

c = 13

Step-by-step explanation:

In a rectangle the diagonals bisect each other, thus

FG = FI , substitute values

7c - 67 = c + 11 ( subtract c from both sides )

6c - 67 = 11 ( add 67 to both sides )

6c = 78 ( divide both sides by 6 )

c = 13

Answer:

c = 13

Step-by-step explanation:

We know FG and FI are equal to each other because F is the cross section of a rectangle.

FG = 7c - 67

FI = c + 11

FG = FI

7c - 67 = c + 11 Add 67 to each side so it will cancel on the left

7c = c + 11 + 67

7c = c + 78 Subtract c from each side so it cancels on the right

7c - c = 78

6c = 78 Divide each side by 6

6c/6 = 78/6

c = 78/6

c = 13

Answer:

x=21

Step-by-step explanation:

supplementary angles add up to 180°

7x-3+2x-6=180

collect like terms

9x-9=180

add 9 to both sides

9x=189

divide both sides by 9

x=21

Answer:

Step-by-step explanation:

Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.

Answer:

the answer is x= 10

Step-by-step explanation:

The measure of the angle B is 74 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.

The angle sum property of a triangle;

80 + 26 + B = 180

B = 180 - 106

B = 74

Therefore, the size and shape of the triangle wouldn't change.

The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.

Hence, the measure of the angle B is 74 degrees.

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Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

Answer:

1

Step-by-step explanation:

The slope of a line equals rise/run. That is the distance and height between each point. The horizontal and vertical distances are both 1, so 1/1= 1

false because the mountain was created with the North not the South plate.

Answer:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

Answer:

b

Step-by-step explanation:

i think

Answer:

x<2

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

24x+48=168

24x-120

x=5

8(15+6)=168

120+48=168

168=168

Answer: 5

Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Answer:

B. 1  9/10 (19/10)

Step-by-step explanation:

3 4/5 is equal to 19/5

We would need to divide 19/5 by 2

Make 2 a fraction. 2/1

Flip the number: 1/2

Multiply 19/5 by 1/2

19/10

Simplify.

1  9/10

Hope I helped :)

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Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

Answer:

54 does equal 54. So this problem is true

Step-by-step explanation:

6*9=54

6*5=30

6*4=24

30+24=54

54 does equal 54

Answer:

it has the same answer because 6(5)+6(4)=6(9) so they are the same

Step-by-step explanation:

copy and paste that ;)

hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.

hope this helps!! <3

Answer:

800

Step-by-step explanation:

9 goes into 72 eight times, nine goes into 0 zero times

The complete statement is as follows:

The quotient of, 7200/9 = 800.

Quotient is the result which we get by dividing the one number by the other.

Where, the number which is getting divided is known as 'dividend'  and the number which divides the dividend is known as 'divisor'.

So,

Quotient = Dividend ÷ Divisor.

Or,

[tex]\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}[/tex]

In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.

Applying the division on 7200 by 9.

Since, 9 is very less than 72. Take the first 2 digits.

72÷9 = 8

There is no remainder.

Now, take three digits:

720÷9 = 80

Still no remainder is here.

Move to the last digit (0) and apply division.

7200÷9 = 800

No remainder is there.

That means the quotient of, 7200 divided by 9 is 800.

Hence, the quotient of 7200/9 = 800.

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Answer:

Step-by-step explanation:

It would be 2.

8/4=2

10^(4-4)=10^0 or 1

2*1=2

Answer:

Divide both sides by V

Step-by-step explanation:

The equation is not well written.

Mariko needs to solve the equation below for D. Here is the equation:

M = DV

For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;

Divide both sides by V

M/V = DV/V

V at the denominator will cancel out the V at the numerator to have:

M/V = D

Rearrange

D = M/V

Therefore, the statement which correctly describes the step he should take is:

Divide both sides by V. Option B is correct.

Answer:

P = 2l + 2w

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1:  0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75d = 5.25d

It's correct answer

Answer:

x = 20

Step-by-step explanation:

2x + 2x + x + x = 120

6x = 120

x = 20

Answer:

o.a k

Step-by-step explanation:

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

9514 1404 393

Answer:

  16.05 cm

Step-by-step explanation:

Each bracelet will be 1/5 of 1/2 of the chain, so is

  (1/5)(1/2) = 1/10

of the original length of the chain.

  1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet

Answer: a. After 5 ​years, you will have approximately= $ 6,850.43 .

b. The interest is approximately =$ 1850.43

Step-by-step explanation:

Given: Principal amount (P) =  $5000

Rate of interest (r)= 6.5%  = 0.065

n= 1  (compounded annually)

a) Time (t) = 5 years

Formula for accumulated amount  :

[tex]A=P(1+\dfrac rn)^{nt}[/tex]

Then,

[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]

Hence, After 5 ​years, you will have approximately $ 6,850.43 .

b) Compound interest = A-P

= $ 6,850.43 - $ 5,000

= $ 1850.43

Hence, The interest is approximately $ 1850.43.