In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 25 feet long with a wingspan of 15 feet. If the finished model will be 10 inches long, what will the wingspan be?

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  ( 3 , 14 )

Equation Form:  x  =  3 , y  =  14

Step-by-step explanation:

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

x - 2x - 1 = 8 - 3x - 3

x - 2x + 3x = 8 - 3 + 1

2x = 6

x = 6/2 = 3

Answer:

X = 2

equation x [tex]\leq[/tex] 2

Step-by-step explanation:

You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]

You do this because if you multiply 2*2x and 2*1 you will get 4x+2

Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]

So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like            [tex]2(2x+1)\leq 10[/tex]

So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]

you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5.         [tex]2x+1\leq 5[/tex]  

Now you subtract one from both sides    [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]

you'll get 2x=4

divide both sides by 2 to get x=2

To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]

[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]

since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation

Answer:

Step-by-step explanation:

Use DESMOS.  See attached.

Answer:

I believe the answer is B. 80, -160

Step-by-step explanation:

The pattern involves multipling by -2 so the term after that would be 320!

50

If 10 is 20% of a number, we can multiply it by 5 to get the original number.

So 10 * 5 = 50, and 20% of 50 is 10.

I hope this helps! :)

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."

Answer:

A=7c/5 + 8d/5

Step-by-step explanation:

Answer:

A = [tex]\frac{7c+8d}{5}[/tex]

Step-by-step explanation:

7c + 8d = 5A ( isolate A by dividing both sides by 5 )

[tex]\frac{7c+8d}{5}[/tex] = A

Answer:

60

Step-by-step explanation:

9/15 = 0.60

0.60 * 100 = 60

60 skittles are in the bag

Answer:

0.5844

Step-by-step explanation:

Answer:

0.5844 just use a calculator

Answer:

3/4

Step-by-step explanation:

For lines to be parallel, only their y-intercepts have to be different.

Answer:

3/4

Step-by-step explanation:

[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]

see the attachment

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

Answer:

You are correct

Answer:

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

[tex] = > h = \frac{105 \times 2}{15} [/tex]

=> h = 7 × 2

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]

Answer:

6020*10's power 21 is correct and suitable way to write it in notation

Answer:

-3

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

if we plug in the values and solve, that gets you -3.

Answer:

-3

Explanation:

1-(-2) divided by 3-4

Answer:

14416

Step-by-step explanation:

youre welcome

Answer:

14416

Step-by-step explanation:

check the steps for answers

Answer:

-3/10+ 3/10

lcm=10

-3+3

______

10

=0/10 = 0

Answer:

-6/10

Step-by-step explanation:

hope it helps

Answer:

$20

Step-by-step explanation:

Money paid with surcharge by 6 friends = $ 186

Money paid with surcharge by a friend = 186 ÷ 6 = $ 31

Money paid by each friend without surcharge = 31 - 11 = $ 20

Answer:

like i said no graph i cant help

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Ik it is cus ik my number lines

PLS MARK ME BRAINLIEST

Answer:

I think it's 8 I'm not sure

Answer:

5/8 is 62.5% which makes it greater

Step-by-step explanation:

Convert the fraction to a decimal and then just multiply it with 100

5/8 is 0.625

0.625×100 is 62.5

just add a %

then you get 62.5%

Answer:

n = 3

Step-by-step explanation:

[tex]\frac{5}{15} = \frac{n}{9}[/tex]

Cross multiply

15n = 45

Divide

15n/15 = 45/15

n = 3

Answer:

-3,3,7 for Acellus

that's it