One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Answer:

The recipe called for 3 cups of flour and 4 cups of sugar. That means there are 3/4 cups of flour for each cup of sugar.

She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.

Answer:

The answer to the question provided is 7.

Answer:

b

Step-by-step explanation:

6 (2x + 3y-4z)

Step by step explanation:

6 (2x + 3y-4z)

im prob wrong-

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

Simplify.

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

Answer:

Step-by-step explanation:

Remember, the first point in a bracket like this (6, 1) is the x coordinate. Here, 6 is your x coordinate. So, if we actually had the line (which we don't have right now, it would be lined up with the number 6 on the x axis. And the second point, 1 here, is the y coordinate. Which tells you where this point falls on the y axis. it would be lined up with the number 1 on the y axis. First, let's work on the parts where you are listing the points. it seems to give you the x coordinate 2 on the first one. So on the x axis which is the horizontal line that says Number of Books Sold, go to the number 2. Then y upward with your mouse and the first point that appears with the x coordinate of 2 (it's the 2nd point if you start from the bottom of the line and go up) has the y coordinate of 20 because if you use your mouse to go left on the same gray line that point is on, you will hit 20 on the line that says Total Amount Payed (this is your y axis). Now, on the next point it just gives you the y coordinate, 40. Which means that it should be on the grey line that hits the number 40 on the Total Amount Payed line (your y axis). So if you find that point and go down with your mouse on the gray line right under it, you should hit 4. So that point is  (4, 40). 6 is not labeled but it is the gray line after the 5 on the x axis. If you go up 6, you hit the to right corner of the graph and if you trace it to the y-axis, it's not labeled but it should be 60 because if you pay attention, the numbers on the y-axis are going up by 10s. The x coordinate represents The Number of Books Sold because it says that under the x axis. The y coordinate represents the Total Amount Payed (dollars). ordered pairs are like ratios because they are both pairs. Ordered pairs tell you how much to go up, down, forwards, and backwards on a coordinate plane while ratios tell you a proportion. I am including a picture to help you out. I hope this made sense and was helpful!

Answer:

170 straws

Step-by-step explanation:

10x17 is 170, so she made 170 straws

Answer:

The answer is 70 because 17x10=170

Answer:

b because -4°F plus 4°F would be 0°F

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

Answer:

59 miles per hour

Step-by-step explanation:

Answer: -4/15

Step-by-step explanation:

The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]

You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10)  and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))

You just plug in the y values on the top, the x values on the bottom and solve!

1) Plug in your values (10-(14)/8-(-7))

2) Open up your parentheses (10-14/8+7)

3) Solve -4/15

These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D

Answer:

D

hope this helped:)

Answer:

37

Step-by-step explanation:

all angles on a straight line add up to 180.

180-144=36.

180-73=106

106+36=142.

180-142 is 37

hope this helps!

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

Answer:

The answer is 37

Answer:

b²-4ac=0

Step-by-step explanation:

x=-b+0/2a

so,x=-b/2a

Answer:

?

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

-10/2=-5-7=-12

-8/2=-4-7=-11

Braniliest?

Answer:

.50 left

Step-by-step explanation:

You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50

Answer: 5 hours

Step-by-step explanation: 380/76

The bus will take 5 hours to reach Montreal from New York.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Distance between Montreal to New York = 380 miles

Speed of bus = 76 miles per hour

76 miles ⇒ 1 hour

1 mile ⇒ 1/76  hour

Multiply by 380 on both sides

380 miles ⇒ 380/76 hours = 5 hours.

Hence "The bus will take 5 hours to reach Montreal from New York".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

Answer:

1200

Step-by-step explanation:

60                 x

-              =    -

100               800

There are 2 ways to solve this.

1) 800 x 60= 48,000

Divide by 100= 480

x=480

2)  Multiply 60 by 8.

Now there are another 2 ways to go.

1) 480        x

   -        =   -

  800        2000

2) 60            x

   -          =    -

   100           2000

To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.

Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.

I hope this helps you significantly

~~~LampteyJ

Answer:

1200

Step-by-step explanation:

Answer:

(-2, 4)

Step-by-step explanation:

The solution to the systems of equations shown on the graph is the point at which the lines of both equations intersect each other.

The solution is (-2, 4). That is, for both lines, when x = -2, y = 4.

Answer: When graphing start at (0,6). (1, 8) (3,12) (5,16) The total cost for 7 rides is $20.

Step-by-step explanation:

Answer:

the total cost for 7 rides is $14 plus how much it is to get in the fair is $6 so the total cost to get in and do 7 rides is $20 but the total cost for 7 rides is $14

Step-by-step explanation:

Answer is $14 for 7 rides

PLZ GIVE BRAINLIEST

Answer:

5 meters

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

;)

Answer: If you got a 52/60, then your percent would be a 86%. which would be a B

Step-by-step explanation:

Answer:

The grade would be 87%. You would have a B+ (or a B depending on if your school does not use pluses and minuses for grades)

Step-by-step explanation:

52/60 =  87%

Step-by-step explanation:

A = P(1 + r)^t

£5263.73 = £4000(1 + 0.01x)^7

(1 + 0.01x)^7 = 1.3159325

1 + 0.01x = 1.04

0.01x = 0.04

x = 4.

The value of x is 4.