280 students went on a field trip. 5 buses were filled and 10 students traveled in cars. How many students were in each bus?

Write out the equation (1 point)

Solve the equations (2 points)

Write the name of the properties you used to justify each step (2 point)

Answer:

24 divided by 4

Step-by-step explanation:

if each of them gets 4 eggs then just divide to see how many times 4 goes into 24 and that will get you the number of students in his class. Also, 24 divided by 4 is 6

Answer:

549 pumps

Step-by-step explanation:

We'll begin by calculating the radius of the larger ball. This can be obtained as follow:

Circumference (C) = 71

Pi (π) = 3.14

Radius (r) =?

C = 2πr

71 = 2 × 3.14 × r

71 = 6.28 × r

Divide both side by 6.28

r = 71 / 6.28

r = 11.3 in

Next, we shall determine the volume of the larger ball.

Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:

Pi (π) = 3.14

Radius (r) = 11.3 in

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 11.3³

V = 4/3 × 3.14 × 1442.897

V = 6041 in³

Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:

11 in³ = 1 pump

Therefore,

6041 in³ = 6041 in³ × 1 pump / 11 in³

6041 in³ = 549 pumps

Thus, it will take approximately 549 pumps of air to fill the large soccer ball.

Answer:

Step-by-step explanation:

Volume is length times width times height. Because our shape is a cube, by definition, all the sides are the same length, so we are multiplying the number by itself 3 times...we are cubing it. The power then is 3. If we cube 1/3

[tex](\frac{1}{3})^3[/tex] which is [tex]\frac{1}{27}[/tex]

Answer:

it's probably 37 I could be wrong but hope this helps ya

Answer:

5

Step-by-step explanation:

Answer: [tex]\sqrt{17}[/tex]

Step-by-step explanation:

I used the Pythagorean equation.

4^2+1^2=c^2

16+1=c^2

17=c^2

Answer:

M > 3

Step-by-step explanation:

4M > 12

M > 3

Answer:

um... you can have M as 4. 4 x 4 =16

Answer:

15/36 (41.667%)

Step-by-step explanation:

Answer:

The answer is letter B.

Step-by-step explanation:

go left 2

up 3

Answer:

Xavier did not get an A for the year.

Step-by-step explanation:

We solve this question using z score formula

= z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 85

σ is the population standard deviation = 5

z = 1.8

Hence

1.8 = x - 85/5

Cross Multiply

1.8 × 5 = x - .5

9 = x - 85

Collect like terms

9 + 85 = x

x = 94

Xavier scored 94.

He needs at least 95 to get an A.

Therefore, we can conclude that Xavier did not get an A for the year.

Answer:

72

Step-by-step explanation:

Answer:

d. going from step 1 to step 2.. i think

Answer :

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

Answer:

[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]

Step-by-step explanation:

Given :-

And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.

According to Question :-

[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]

Hence the probability is :-

[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]

Hence the required probability is 8/9 .

Given:

The equation is:

[tex]x^2-12x+32=4[/tex]

To find:

The result of completing the square for the given equation.

Solution:

We have,

[tex]x^2-12x+32=4[/tex]

It can be written as:

[tex]x^2-12x=4-32[/tex]

[tex]x^2-12x=-28[/tex]

Now, we need to add half of square of coefficient of x, to complete the square.

Adding [tex](\dfrac{-12}{2})^2[/tex] on both sides, we get

[tex]x^2-12x+(\dfrac{-12}{2})^2=-28+(\dfrac{-12}{2})^2[/tex]

[tex]x^2-2(x)(6)+(-6)^2=-28+(-6)^2[/tex]

[tex]x^2-2(x)(6)+(6)^2=-28+36[/tex]                 [tex][\because (-a)^2=(a)^2][/tex]

Using the formula [tex](a-b)^2=a^2-2ab+b^2[/tex], we get

[tex](x-6)^2=8[/tex]

Therefore, the required equation after completing the square is [tex](x-6)^2=8[/tex].

Answer:

[tex]x = -\frac{5}{2}y + 4[/tex]

Step-by-step explanation:

[tex]2x+5y=8[/tex], so subtract 5y from both sides to get [tex]2x=8-5y[/tex]. Then divide both sides by two to get [tex]\boxed{x = -\frac{5}{2}y + 4}[/tex]

Answer:

37

Step-by-step explanation:

You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10

Answer:

37 :)

Step-by-step explanation:

Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!

Hope this helps! ^^

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

Answer:

By using the pythagorean property such that GJ^2+HJ^2 = GH^2

GJ = √(GH^2-HJ^2)

GJ √(11881-8281)

GJ = √ 3600

GJ = 60.00 (ANS)

Hope it helps

Answer: 29°

Step-by-step explanation:

if you do 180-151 you get 29 which is the remaining degrees

Answer:

Step-by-step explanation:80

Answer:

It's the second answer down : Angle B, A and C

Step-by-step explanation:

The sequence from the smallest to the largest is angle B, angle A, angle C .

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given AB= 22 units

BC=16 units

AC=12 units

The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.

That is angle opposite to the shorter side have shorter angle.

Therefore, we have

Therefore,

angle opposite to side AC is angle B,

angle opposite to side BC is angle A,

angle opposite to side AB is angle C,

Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .

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Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

To Find :-

We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,

[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]

[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]

Hence the slope of the line is 27/11 .

[tex]\rule{200}2[/tex]

Finding the length of AB :-

[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]

Hence the length of AB is 29.15 units .

Answer:

x =8

Step-by-step explanation:

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

Answer:

4.2

4.5

3.2 it would be equal to 9.56

Step-by-step explanation:

add 4.2+4.5+3.2=9.56

Answer:the answer is mode

Step-by-step explanation:

Answer:

sorry i dont know the answer

Step-by-step explanation:

Answer:

1. They can divide it up so each person gets 2.25 of a cookie.

2. [tex]\frac{1}{12}[/tex]

3. [tex]\frac{3}{5}[/tex]

4. 4.625

5. [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

1. They can each have 9 ÷ 4 = 2.25 of a cookie

2. So we have 4 • 3 = 12 pieces. [tex]\frac{1}{12}[/tex]

3. They will get to eat [tex]\frac{3}{5}[/tex] of a bag.

4. 74 ÷ 16 = 4.625

5. Will and his 2 friends = 3 people [tex]\frac{10}{3}[/tex]

Answer:

c is the answer

Step-by-step explanation:

because the triangle which isnot 180degee it isnot a triangle

The correct option is If the angle sum is not 180 degrees, then the figure is not a triangle.

A triangle is a polygon with three edges and three vertices.

Given is a statement, If a figure is a triangle, then its angle sum equals 180°

The equivalent statement means that, it gives the similar meaning as the original statement.

So, in the options, the third one is :- If the angle sum is not 180 degrees, then the figure is not a triangle, is giving the same sense as the original statement If a figure is a triangle, then its angle sum equals 180°

Hence, we can say that 3rd is the correct option.

For more references on triangles, click;

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