Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her favorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer

Step-by-step explanation:

Formulate an equation to solve for this one.

- I did x+x-20= 200

x represents the larger angle between the two triangles.

x-20 represents the smaller triangle which the problem states is 20 degrees smaller.

- if you solve the equation I gave you above you will get your answer. x= 110

your angles should be 110 and 90. You can check by adding those numbers which will equal to 200.

Hope this helps!

The number of 3060 teams of 4 can be formed for competition.

The correct answer is A.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Given:

The chess club has 18 students.

To find the number of combination of teams of 4 can be formed for competition:

¹⁸C₄

Solving the combination,

¹⁸C₄

= 18! / 4! x (18-4)!

= 18! / 4! x 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2 x 1

= 3060

Therefore, the number of teams are, 3060

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Answer:

69

Step-by-step explanation:

-y/3 = -23

=> -y = -23 x 3

=> -y = -69

=> y = 69

Answer:

69

Step-by-step explanation:

We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69

Answer:

The square root of 38.

Step-by-step explanation:

The square root of 38 is about 6.16.

The square root of 35 is about 5.91.

The square root of 45 is about 6.70.

The square root of 48 is about 6.92,

So the most reasonable one is the square root of 38, since it is much closer to 6.

Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

I HOPE THIS HELPED

Answer:

Step-by-step explanation:

[tex]70\:times = 1\:minute\\x\:times\:= 60\:minute\\\\Cross\:multiply\\ x = 70 \times 60\\\\x = 4200\\\\= 4200 \:times\:in\:an\:hour\\\\Note: 60\:minutes = 1 \:hour[/tex]

Answer:

4200 beat per hour

Step-by-step explanation:

70 beat per min to beat per hour

70 beat      60 min

    -------  x -----------  =  4200 beat per hour

     min       1 hour

Step-by-step explanation:

Hello!!!!

According to the question,

distance covered (d)= 45km.

time taken (t)= 1 hr and 15 mins.

now,

let's find answer of this question no. i).

》answer :

speed (s)= distance by time taken

= 45 /1.25

so, the speed is 36 km/hr.

now, for 2nd question,

time (t)= 2hrs and 40 mins.

speed (s)= 36km / hr

now,

distance (d)= s×t

= 36×2.6666666667

= 96km....is yourrequired answer.

Hope it helps...

Answer:

A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.

Step-by-step explanation:

Answer:

A THE RIGHT ANSWER

Step-by-step explanation:

Answer:

n^2-8 is the answer

Step-by-step explanation:

Answer:

The minimum score necessary to be in the top 10% of the distribution is 628.

Step-by-step explanation:

Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100

The Significance level  for this test = 10 % = 0.1

For one tailed test ∝= 0.1 the value of Z∝= ±1.28

Since it a normal distribution the test statistic used is

Z= X= u / σ/√n   ( taking n= 1)

1.28 = X- 500/100/√1

128 + 500 = X

or X = 628

The minimum score necessary to be in the top 10% of the distribution is 628.

Answer:

The center of the circle is

Step-by-step explanation:

Equation of a circle is given by

where r is the radius

(h, k) is the center of the circle

The center of a circle is given by

( - h , - k)

From the question equation of the circle is

( x + 4)² + ( y - 2)² = 16

Comparing with the general equation above

( h , k) = ( 4 , - 2)

The center of the circle is

( - h , - k) = ( - 4 , -(-2))

We have the final answer as

Hope this helps you

Answer:

A) No because the theater did not survey everyone in the theater.

Answer:

Yes, because the theater surveyed a random sample.

Step-by-step explanation:

The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.

Answer:

20boys and 15girls

Step-by-step explanation:

Let no of boys be 4x

no of girls be 3x

4x+3x=35

7x=35

x=35/7

x=5

no of boys=4×5=20

no of girls=3×5=15

20+15=35 students

Answer: p = 3.

Step-by-step explanation:

Ok, this must be:

p and p^4 + 8

ok, it may be useful to remember the first prime numbers:

2, 3, 5, 7, 11, 13...

So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:

First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.

now let's try p = 3.

3^4 + 8 =  81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

[tex]V=\pi r^2h[/tex]

Where, r = radius

h = height

Put the value into the formula

[tex]V=\pi\times(2)^2\times13[/tex]

[tex]V=163.3\ cm^3[/tex]

Hence, The volume of the cylinder is 163.3 cm³.

Answer:

y = 3x + 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 )

Calculate the slope using the slope formula

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

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer:

yes

The statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Step-by-step explanation:

A plane does not have a formal definition, and a ray is described through undefined terms. The statement is true because

A plane is basically an undefined term as it could be named using three non-straight points - also called noncollinear points. A plane is basically a flat two-dimensional object having no thickness.

In Geometry, we have a variety of undefined terms, including point, line and plane. All other terms in Mathematics (Geometry) could be defined from the mentioned three undefined terms.

Therefore, the statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Keywords: plane, point, line, ray

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Answer:

7800 brownies will be produced in an 8 hour shift

Step-by-step explanation:

Given : The production rate is 975 brownies per hour at a bakery

To Find :  how many brownies will be produced in an 8 hour shift?

Solution:

No. of brownies produced in 1 hour = 975

We are supposed to find No. of brownies produced in 8 hour

No. of brownies produced in 8 hour =  975 x 8=7800

Hence 7800 brownies will be produced in an 8 hour shift

Hope this helps ФωФ

Mukat gets 40, Usha gets 8

Step-by-step explanation:

Mukat = 5 × Usha

After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)

Then Mukat = final number of books for Usha

5 × Usha - 16 = Usha + 16

(5 × Usha ) - Usha = 16+16

4 × Usha = 32

Usha = 8 i.e her number of books.

Mukat = 5×8=40.

I HOPE IT'S OK

Answer:

y=2x+1

Step-by-step explanation:

there's nothing to show, sorry

ask me if you have question

Answer:

9

Step-by-step explanation:

i did 8x4 which is 32

and knowing how to do averages i knew the total of the numbers was going to be divided by the amount of numbers, so i knew that it had to add up to 50 because 50/10 is 5.

so i knew i needed 18 more points, 18/2 = 9 so

4(8) + 9(2) = 32 + 18 = 50

Answer:

B

Step-by-step explanation:

(To save time, I'm going to use x instead of θ)

So we have the expression:

[tex](\sin(x)-\cos(x))^2+(\sin(x)+\cos(x))^2[/tex]

First, expand these binomials:

[tex]=(\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x))+(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))[/tex]

Combine like terms:

[tex]=\sin^2(x)+\sin^2(x)+\cos^2(x)+\cos^2(x)-2\sin(x)\cos(x)+2\sin(x)\cos(x)\\=2\sin^2(x)+2\cos^2(x)[/tex]

Factor out a 2:

[tex]=2(\sin^2(x)+\cos^2(x))[/tex]

The expression inside the parentheses is the Pythagorean Identity:

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

Substitute:

[tex]=2(1)\\=2[/tex]

The answer is B.

Answer:

The answer is rotation.

Answer:

13/2 = a

Step-by-step explanation:

27 – 4 + 2a = 4a + 10

Combine like terms

23 +2a = 4a +10

Subtract 2a from each side

23+2a-2a = 4a-2a +10

23 = 2a+10

Subtract 10 from each side

23-10 = 2a+10-10

13 = 2a

Divide by 2

13/2 = a

Answer: a = 13/2

I assume you don't need a step - by - step, you're just asking for the answer. Hope this helps!

Answer:

10,000+750x=25,000

Step-by-step explanation:

This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x

Six hundred thousand

Hope it helps :)

Answer:

Here is the equation 4x6/8=3

Answer:

4 x q ÷ 8 = 3

4 x 6 ÷ 8 = 3

(24) ÷ 8 = 3

Answer:

Length = 3.2feets ; width = 6feets

Step-by-step explanation:

Given the following :

Actual dimension of Mural:

8feets by 15feets

Scale drawing ratio of Mural :

2feets : 5feets

This means :

2 Feets on paper equals 5 Feets of actual drawing:

Therefore, with actual dimension of Length = 8feets ;

Length of scale drawing = (2/5) * 8 = 3.2feets

Actual dimension of width 15feets ;

Width of scale drawing = (2/5) * 15 = 6 Feets

Answer:

C

Step-by-step explanation:

1 2/3*3 = about 5

5+1 2/3= 6 2/3<7 1/5

6 2/3+1 2/3 =8 1/3> 7 1/5

C is the best answer because it is the closest to the total amount of paint