The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

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Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

Answer:

57.18

Step-by-step explanation:

C = 2πr

C = 2(π)(9.1)

C = 57.18

.

=2×22/7×12

=75.42in

And

d=18.2cm

[tex]c = \pi \: d[/tex]

= 22/7×18.2

=57.2cm

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

12=100+0.3x

-100  -100                        subtract 100 both side

-88=0.3x                 divide -88 into 0.3

x=-293.3

Answer:

-6

Step-by-step explanation:

substitute x=-2

f(-2)=(-2)-4=-6

Answer:

- 6

Step-by-step explanation:

f(x) = x - 4

f( - 2) = - 2 - 4 = - 6

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

4x−3−2x=2x+7−2x

2x−3=7

Step 2: Add 3 to both sides.

2x−3+3=7+3

2x=10

Step 3: Divide both sides by 2.

x=5

And theres our answer.

Hope this helped! :)

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x= 7 +3

2x=10

2x/2=10/2

x=5

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

============================================================

Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]

Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

Answer:

-17

Step-by-step explanation:

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

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Answer:

3 - 21m

Step-by-step explanation:

-4 + 7(1-3m)

-4 + 7 - 21m

3 - 21m

Given:

The polynomial is:

[tex]4p^3+2p^2+19p-5[/tex]

To find:

The degree and number of terms.

Solution:

Degree of a polynomial: It is the highest power of the variable.

Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".

We have,

[tex]4p^3+2p^2+19p-5[/tex]

In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.

The given polynomial can be written as:

[tex]4p^3+2p^2+19p+(-5)[/tex]

So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].

Therefore, the degree of the given polynomial is 3 and the number of terms is 4.

The classification by degree and number of terms of degree 3 and 4 terms

Given the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.

In conclusion, the classification by degree and number of terms of degree 3 and 4 terms

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Answer:

the recital lasted 4 hours and 17 minutes

Answer:

4 hours 17 minutes

Step-by-step explanation:

5.34-1.17

Answer:

8 rooms

Step-by-step explanation:

6 ÷ 3/4 which equals 6 x 4/3 = 8

Answer:

8 rooms

Step-by-step explanation:

6 / (3/4) = 8

Answer:

30 degrees

Step-by-step explanation:

see the opposite side. it is the same thing but upside-down.

(remember straight line is 180 degrees)

Answer:

C is correct

Step-by-step explanation:

I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!