There are 4 classrooms for fifth grade and 4 classrooms for sixth grade at a school. Each classroom has 20 students. A teacher is planning a field trip for some fifth and sixth grade students at this school. The teacher knows the following information:
90% of fifth and sixth grade students have permission to go on the trip.
4 teachers are going on the trip.
The school requires 1 parent volunteer for every 8 students going on the trip.
Part A
How many parent volunteers are needed to go on the trip?

Answer:

Step-by-step explanation:

x+y = 9

x-y = 60

-----------

2x = 69

x = 34.5

y = 9-x = -25.5

smaller number: -25.5

larger number: 34.5

Answer:

x > 250

Step-by-step explanation:

we are to express the statement using an inequality expression

Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;

x is the amount of box of cookies

The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.

We will find that z = 24.

We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.

So if you travel for z miles, the total cost will be:

[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]

Now that we have this linear equation if we know that the total fare was $44.90, then we have:

[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]

Now we just need to solve the above equation for z:

[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]

Then we can see that she traveled for 24 miles.

If you want to learn more, you can read:

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Answer:

14

Step-by-step explanation:

As long as two sides of a triangle added together are larger than the third side, it is an accurate triangle!

Answer:

x=-2

Step-by-step explanation:

[tex]\sqrt{x+3}+4=5[/tex]

subtract 4 from each side

[tex]\sqrt{x+3} +4-4=5-4[/tex]

square both sides

[tex]\sqrt{x+3}^2=1^2[/tex]

so we have

[tex]x+3=1[/tex]

subtract 3 from each side

[tex]x+3-3=1-3[/tex]

so our answer is [tex]x=-2[/tex]

Answer:

E. 95

Step-by-step explanation:

[tex]\text{Given that:} \\ \\ X \sim U(a,100) \\ \\ fx(x) = \dfrac{1}{100-a} \\ \\ E[X^2] = \int _x f_x (x) \ dx \\ \\ \implies \int^{100}_{a} \dfrac{x^2}{100-a}dx \\ \\ =\dfrac{100^3-a^3}{3(100-a)} \\ \\ =\dfrac{100^2+100a+a^2}{3} \\ \\ E[X^2] = \dfrac{19600}{3}=\dfrac{100^2+100a+a^2}{3} \\ \\\implies a^2 +100a+10000=19600 \\ \\ \implies a^2 +100a -9600 = 0 \\ \\ \implies a = \dfrac{-100 \pm \sqrt{100^2 -4(-9600)} }{2} \\ \\=\dfrac{-100 \pm \sqrt{48400}} {2} \\ \\ = \dfrac{-100 \pm 220}{2} \\= 60 \ OR \ 160[/tex]

[tex]\text{SInce X is a percentage score on an exam }\ P(X \ge 0) = 1 \text{which means } \ a = 60\\ \\Y \sim U (1.25a,100) = U(75,100)\\ \\ f_y(y) = \dfrac{1}{100-75} = \dfrac{1}{25} \\ \\ \text{Let assume the 80th percentile of Y be} \ y_{80} } \\ \\ \\Then; \ P(Y \le y_{80}) =80\% \implies \int^{y_{80}}_{75} \ f_Y (y) \ dy = 0.8 \\ \\ \implies \int^{y_{80}}_{75}\dfrac{1}{25} \ dy = 0.8 \\ \\ \implies \dfrac{y_{80}-75}{25}= 0.8 \\ \\ \implies y_{80} = 95[/tex]

Answer:

2.4 hours.

Step-by-step explanation:

Remark

The supervisor is not quite correct. The correct answer must be lower than the lowest number, otherwise you are taking out what the person with the narrower hose must be taking out what the other person is putting in.

Equation

Let x = the amount of time needed for him to fill the pool

Let y = the amount of time needed for the second person to fill the pool

Let z = the amount of time needed for both to fill the pool.

1/x + 1/ y = 1/z

1/4 + 1/6 = 1/z         The common denominator is 12

3/12 + 2/12 = 1/z

5/12 = 1/z                Cross multiply

5z = 12 * 1               Divide by 5

z = 12/5

z = 2 2/5

z = 2.4 hours

Answer:

80

Step-by-step explanation:

80 because 8x10=80 and also 1x80=80

The measure of angle GXI from the given circle is equal to 60°.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

From the given figure, through the Centre 12 lines are passing and dividing the central angle.

We can write the measure of angle subtended by a single arc as -

θ = 360°/12

θ = 30°

So, the measure of ∠GXI = 2θ

= 2×30°

= 60°

So, ∠GXI = 60°

Therefore, the measure of ∠GXI is equal to 60°.

To learn more about the circle visit:

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Answer:

Im pretty sure that 12, 18, and 29 would be the answer to your question.

Step-by-step explanation:

Answer:

1.500000

Step-by-step explanation:

jacks over aces

3÷2

=1.5

correct to six decimal places

1.500000

Answer:

a translation of (-2,4)

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Line l: y=4

Line m: y=-2x+4

Line n: y=x-1

Line p: x=-4

Hope this helps!

Answer:

23,400

Step-by-step explanation:

30 times 30 times 26= 23,400

Answer:

like with the whole page?? cause if so i got this KINDA

Step-by-step explanation:

the first one (2/9+2/9) = 4/9

the second one (1/4+2/4)=3/4

the third one (3/8+5/8)=1 whole or 8/8

i cant see the last one so ill skip to the bottom row

the first one (2/5-1/5)=1/5

(9/12-4/12)=5/12

(4/10-2/10)= 2/10

and ill give someone else a shot with the rest of the questions but yw

this is pretty simple but hit me up if you ever need more help

=D

Answer:

Section 1

Adding and Subtracting- just add/subtract (depending on what the question is asking you) the numerators (top number), don't do anything to the denominators (bottom numbers)

Step-by-step explanation:

Section 1

Adding and Subtracting- just add/subtract (depending on what the question is asking you) the numerators (top number), don't do anything to the denominators (bottom numbers)

Section 2

Make the denominators (bottom numbers) the same, then add or subtract the numerators. To make the denominators same, apply a common factor to the bottom number.

Section 3

Multiply the top numbers and bottom numbers to get the answer.

Section 4

Use KCF: Keep, Change and Flip. Keep the first fraction the same, then change the division sign to a multiplication and finally flip the last fraction, then multiply the two fractions.

Answer:

it's the first one because it is split as the paragraph said it should

Answer:

x= -7, x=8

Step-by-step explanation:

factoring method..

f (x) = - x² + 12x - 20

= - x² + 10x + 2x - 20

= - x( x - 10 ) + 2( x - 10 )

= ( x - 10 ) ( -x + 2 )

=> x = 10, x = 2

Answer:

has ft7shc63 queen, E5itee28 d74vyxb

Answer:

1(left) goes with 1

2(left)  goes with 3

3(left) goes with 2

4(left) goes with 4

Step-by-step explanation:

2(5+6) = 22


3(5+3) = 24


2(4+5) = 18


2(3+2) = 10  

10 + 12 = 22  

8+ 10 = 18


15 + 9 = 24


6 + 4 = 10

1(left) goes with 1

2(left)  goes with 3

3(left) goes with 2

4(left) goes with 4

Answer:

10 + 12 = 2(5+6) . 10+12=22, 5+6 = 11, 11×2 =22 or 2× (5+6) = 22.

8+10= 2(4+5) , 8+10=18. 2 × (4+5) = 18, 4+5=9, 9×2=18.

15+9= 3(5+3) , 15+9=24, 5+3=8, 8×3 =24 or 3× (5+3)

6+4= 2(3+2), 6+4=10, 3+2 = 5 , 5×2 =10

Answer:

yes, I am pretty sure you do .122 as 1/8 and you keep doing that. I am pretty sure :)

Step-by-step explanation:

Also could you please give me brainliest?

Answer:

was popping. Free points right

Step-by-step explanation:

Answer:

The answer is 0.45

Step-by-step explanation:

0.75-0.1-0.2=0.45

Answer:

74.09453421...

Step-by-step explanation:

Pythagorean Theorem

Answer:

25%

Step-by-step explanation:

Multiply the two probabilities.

P(heads)*P(even) = 1/2*1/2 = 1/4

1/4 = 25%

Answer:

Amy and Victor: 1 [tex]\frac{4}{9}[/tex]

Cal and Beth: [tex]\frac{7}{10}[/tex]

Beth and Victor [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Just multiply fractions by LCD