1) In a school of 3600 students, number of boys is twice the number of girls. Find the number of girls.

Answer:

1.5secs

Step-by-step explanation:

Given the expression that models  the height as;

h(t) = -16t²+20t +6

The ball will touch the ground at when h(t) = 0

0 =  -16t²+20t +6

Swap

-16t²+20t +6 = 0

Divide through by -2

8t²-10t-3 = 0

Expand using the general formula

t = -(-10)±√(-10)²-4(8)(-3)/2(8)

t = 10±√100+96/16

t = 10±√196/16

t = 10±14/16

t = 10+14/16

t = 24/16

t = 1.5

Hence it will take the ball 1.5secs to hit the ground

Answer:

I think is b

Step-by-step explanation:

Answer:

√98-17

=√ 81

=√ (9)^2

=9 is ans

Answer:

[tex] \sqrt{98 - ( 17)} [/tex]

[tex] {\sqrt{81}} [/tex]

[tex] {\sqrt{9²}} [/tex]=±9

is your answer

Answer:

The present age of the mother is 40 years

Step-by-step explanation:

Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then

M = 2.5D

Given that Four years ago the ratio of their ages was 3:1

The mother's age 4 years ago was

= M - 4

and that of the daughter then was

= D - 4

Hence

(M - 4)/(D - 4) = 3/1

Cross multiply

M - 4 = 3(D - 4)

M - 4  = 3D - 12

M = 3D - 12 + 4

M = 3D - 8

Substitute into the first equation

3D - 8 = 2.5D

3D -2.5D = 8

0.5D = 8

D = 8/0.5

= 16 Years

M = 2.5D

M = 2.5 * 16

= 40 Years

Answer:

58.1 (not rounded)

Step-by-step explanation:

You add all sides given to you to get the SA of the prism.

Answer:

12/25

Step-by-step explanation:

The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.

Answer:

19.4 m³

Step-by-step explanation:

V=[tex]\frac{4}{3} \pi r^{3}[/tex]

radius-2.1

plug in:[tex]\frac{4}{3} (2.1)^{3}[/tex] =38.7923860865

[tex]\frac{38.7923860865}{2}[/tex] =19.3961930433

=19.4²

Answer:

-4.5

Step-by-step explanation:

so i personally think that the answer is -4.5.

my reason is that since point A is -7.7, and point C is 0, it has to be close to point A. since a negative that has a smaller number (ex: -3 > -8) is worth more than a negative with a bigger number, the answer can't be -9.2 or -8. now we're left with -4.5 and -1.3. Since -1.3 would be a closer point to 0, and B is pretty far from C, -4.5 is the most reasonable answer.

hope this helps !

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Answer:

look at what the angle represent in the arrows

Step-by-step explanation:

Answers are 3/4 and 4/6

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Answer:

I think it will be (x+7)^2 =16

I'm not for sure but I think this is it.

Step-by-step explanation:

Step-by-step explanation:

see the photo for explanation

Answer:

We are finding hypotenuse

3^2 + 2.5^2

9 + 6.25 = 15.25

3.9^2 = 15.21 close enough.

3.9 would be your answer.

When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.

Answer:

Solution given:

[tex]25x = 100[/tex]

[tex]x = \frac{100}{25}[/tex]

[tex]x = 4[/tex]

x=4 is a required answer.

Let's check

x is 4

Answer:

The average weight of the chipmunks is 91 grams

Step-by-step explanation:

The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.

Based on the data that the Biologists found out, the prediction that best matches the data is The average weight of the chipmunks is 91 grams.

The data shows the weights of the five chipmunks that were recorded and the mean of these weights was 91 grams.

The mean of a dataset is the same as its average which means that the average weight found from the chipmunks was 91 grams.

In conclusion, option D is correct.

Options for this question are:

About one-half of the chipmunks weigh more than 91 grams

The average weight of the chipmunks is 87 grams.

About one-half of the chipmunks weigh more than 87 grams

The average weight of the chipmunks is 91 grams

Find out more on averages at https://brainly.com/question/14532771.

Answer:

[tex]\frac{24}{11}+\frac{6\sqrt{5} }{11}[/tex]

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

Answer:

Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.

If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.

The number of permutations of n objects taken r at a time is determined by the following formula:

P(n,r)=n!(n−r)!

Example

A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:

P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040

In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:

C(n,r)=n!(n−r)!r!

Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?

Step-by-step explanation:

Answer:

(1/2,4)

Step-by-step explanation:

because that is where the line crosses each other

the x is 1/2

the y is 4

Answer:

a. 192 b.60 c. 184, 164, 350

Step-by-step explanation:

a.Total of males=88+104

b.Female, Anaerobic=156-96

c. aerobic= 88+96=184

anaerobic=104+60

total=192+158

Answer:

d(x) = 3.5x + 0.5

Step-by-step explanation:

3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5

Answer:

y−18=3.5(x−5)

Step-by-step explanation:

from mcgraw hill

Answer: A.

Step-by-step explanation:

Answer:

A (10,985)

Step-by-step explanation:

y= 1,350(1+0.15)^15

1,350 is the student =a

0.15 which originally was 15% is the rate. =r

^15 is the time because 1995 to 2010 took 15 years. =t

The equation I use for this question:

y=a(1+r)^t  a.k.a Exponential growth formula

Answer:

r≈3.55%

Step-by-step explanation:

Answer:

2/9 is less than 1/3

Step-by-step explanation:

2/9= 0.222

1/3=0.333

Answer:

opposite - hypotenuse

Answer:

Yes it is possible

Step-by-step explanation:

Given

[tex]n = 20[/tex]

[tex]x= 7[/tex] --- correct

[tex]y = -4[/tex] --- wrong

[tex]z = 0[/tex] --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

[tex]x \to 3[/tex] -- Got 3 correctly

[tex]y \to 8[/tex] --- Failed 8

[tex]z \to 9[/tex] ---- Didn't answer 9

The above will give a score of -11.

We have:

[tex]3x+8y+9z[/tex]

[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]

[tex]3x+8y+9z = 21-32 + 0[/tex]

[tex]3x+8y+9z = -11[/tex]

Hence, a score of -11 is possible

Answer:

x=45

Step-by-step explanation:

(2x+10) + 30 + 50 = 180

2x+10+30+50 = 180

2x+90=180

2x=90

x-45