If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?

Answer:

6 m

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]

Step-by-step explanation:

10² = 8² + x²

x² = 10² - 8²

x² = 36

x = √36

x = 6

Answer:

m = - 2, c = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 2x = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← in slope- intercept form

with m = - 2 and c = 3

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12

Answer:

B

Step-by-step explanation:

Answer:

31-24x/2x-5

Step-by-step explanation:

multiply: (16-24x+15)/(2x-5)

calculate: (31-24x)/(2x-5)

write the division as a fraction:  31-24x/2x-5

Answer:

30 inch²

Step-by-step explanation:

a + b/2 x h

8 + 10/2 X 5 = 30

Answer:

268.083

Step-by-step explanation:

volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083

Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2

1,800

Step-by-step explanation:100x36=3,600/2=1,800

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

Answer:

the answer is 2.2

Step-by-step explanation:

I used a calculator

Answer:

2 1/5 I guess

Step-by-step explanation:

If it's wrong then my phone's stu.pid

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

Answer:

Sara is 9 years old while Yusuf's is 11 years old

Step-by-step explanation:

The given parameters are;

The ratio Sara and Yusuf share the money they receive = The ratio of their ages

The amount Sara and Yusuf received from their grandmother this year = R1,500

The amount of money Sara receives = R675

Therefore, the amount of money Yusuf receives = R1,500 - R675 = R825

Let 'x', and 'y' represent the ages of Sara and Yusuf

Therefore, the ratio of their ages, x/y = R675/R825) = 9/11

x·11 = y·9

x, and y < 18

When x = 9, y = 11, we  get;

9·11 = 11·9

Therefore a possible solution is Sara's age = x = 9 and a possible solution for Yusuf's age, y = 9

Answer:

X on the graph represents horizontal distance, the x intercept represents when he ends his dive and lands in the water. The x intercept = 8 meaning he is 8 feet away from the diving board when he lands in the water. The y-intercept of y = 13 means the starting point of his dive.

Good luck! :)

Credits: Xin for part A

Answer:

6/10 Simplified: 3/5 of a bag

Step-by-step explanation:

One bag= 10/10

She washed 4/10

So, 10/10-4/10=6/10

6/10=3/5

3/5 of a bag

Hope this helped! :)

Stay safe and have a wonderful day/night!!!!!

Please consider rating and giving thanks, if this helped you!

Answer:

A

Step-by-step explanation:

Answer:

the answer is x=45⁰ y=45⁰

may I help you

Answer:

Use sine:

Answer:

its a

Step-by-step explanation:

The probability of selecting a girl is 52%

The given parameters are:

Boy = 12

Girl =13

The probability of selecting a girl is:

P(Girl) = Girl/Total

This gives

P(Girl) = 13/(12 + 13)

Evaluate

P(Girl) = 52%

Hence, the probability it will be a girl is 52%

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

65536

Step-by-step explanation:

2 elevado a 4 é 16 e 2 elevado a 7 é 128 e 2 elevado a 5 é 32, multiplique-os e você obterá 65536

Answer:

Yes!

Step-by-step explanation:

The y = -17

The x = 18

y = x-35

-17 does equal 18 - 35

Hope that helps!

Step-by-step explanation: no it dosent i dont think

Answer:

87+52=139 180-139 = 41

41 is the measurement of the other side

Step-by-step explanation:

Answer:

y = -1/6x + 2

Step-by-step explanation:

Put it in point-slope form:

y - 3 = -1/6(x + 6)

y -3 = -1/6x - 1

y = -1/6x + 2

Answer:

23.26

Steps:

AC=√(10²+21²)

AC=√(100+441)

AC=√541

AC≈23.26

Answer:

$21.04

Step-by-step explanation:

Steps to take to derive the answer

Price after increase increase (100% + increase in price) x purchase price of the jeans

(100% + 65%) x 15

165% x 15

1.65 x $15 = $24.75

Price after the decrease in price = (100% - percentage decrease in price) x price after the 65% increase in price

(100% - 15%) x $24.75

85% x $24.75

0.85 x $24.75 = $21.04

The statement which describes the given line the best is required.

The correct statement is an increasing line that passes through [tex](0,4)[/tex]

The given equation is [tex]2y=4x+8[/tex]

Two points of the line are

[tex]x=0[/tex]

[tex]2y=0+8\\\Rightarrow y=4[/tex]

[tex](0,4)[/tex]

[tex]y=0[/tex]

[tex]0=4x+8\\\Rightarrow x=-2[/tex]

[tex](-2,0)[/tex]

The line passes through points [tex](0,4),(-2,0)[/tex]

The slope intercept form of the line is

[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]

The slope is [tex]2[/tex]

Since, the slope is positive the line is increasing.

Learn more about equation of lines:

https://brainly.com/question/13763238