A cabinet holds 16 plates and
12 bowls. What is the ratio of plates
to bowls written in simplest form?

Answer:

4^9

262144

Step-by-step explanation:

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

9514 1404 393

Answer:

  p = 192

Step-by-step explanation:

p/8 +12 = 36 . . . . . given

p/8 = 24 . . . . . . . . .subtract 12

p = 8·24 . . . . . . . . .multiply by 8

p = 192

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

Answer:

2 events are described.

Step-by-step explanation:

Because only three types of cones and 31 flavours of ice cream.

Answer:    3/5

Step-by-step explanation:

Fist find  out how many whites are there and divide it by the total to find the probability.

9/15   simplify it to  3/5

Answer:

n = a + 99

Step-by-step explanation:

Given that :

a = number of pages in algebra book 1

n = number of pages in geometry book

a = n - 99

The number, n of pages in a geometry book is ;

Pages in algebra book = (pages in geometry book - 99)

a = n - 99

a + 99 = n - 99 + 99

a + 99 = n

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

Answer:

$7

multiply .07 times 100

Answer:

do u have to find the pattern?

Step-by-step explanation:

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

Answer:

400:2500 , 40:250 ,and 4:25

Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.

Final Result: 7/30

Answer:

The value of a is 25

Step-by-step explanation:

When two angles are supplementary, they add up to 180 degrees

Mathematically,

(30 + 2a) + (125-a) = 180

30 + 2a + 125 - a = 180

a + 155 = 180

a = 180-155

a = 25 degrees

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x−10−3x=3x−12−3x

−2x−10=−12

Step 2: Add 10 to both sides.

−2x−10+10=−12+10

−2x=−2

Step 3: Divide both sides by -2.

−2x/−2 = −2/−2

x = 1

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5

Answer: Yes, it is in the blue shaded area

Step-by-step explanation:

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ6

9514 1404 393

Answer:

  -190

Step-by-step explanation:

The n-th term of an arithmetic (linear) sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.

  an = 8 -2(n -1)

Then the 100th term is ...

  a100 = 8 - 2(100 -1) = 8 -198 = -190

The 100th term is -190.

Answer:

c

Step-by-step explanation:

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.