4.3.AP-10
Question Help
On a team, 7 girls and 5 boys scored a total of 91 points. The difference between the number of points scored by the 7 girls and the number of points scored by the
5 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy

Answers

Answer 1

Answer:

u want step by step?

Step-by-step explanation:


Related Questions

The ratio of bananas to melons is 30:1 if there are 300 bananas how many melons are there

Answers

Answer:

10 melons

Step-by-step explanation:

The rate of change is 10.

30 : 1

300 : x

Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10

So it would look like this -

30 : 1

300 : 10

hope this HELP! :)

An equation is shown. What factor is missing from the equation? 32 + 20= (8+5)*​

Answers

Answer:

4

Step-by-step explanation:

32+20=52

8+5=13

52/13=4

Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%

Answers

Answer:

The probability is  [tex]P( p < 435.82 ) = 0.54094[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  54% = 0.54

    The sample size is  n  =  808

Generally the distribution of the population with college degree follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>    [tex]\mu = 808 * 0.52[/tex]

=>    [tex]\mu = 420.16[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{np(1- p )}[/tex]

=>      [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]    

=>      [tex]\sigma = 14.2[/tex]

Generally 54% of the population proportion is

         [tex]\^ p = 0.54 * 808[/tex]

=>     [tex]\^ p = 436.32[/tex]

Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as

      [tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>  [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]

applying continuity correction

      [tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]

From the z table  the area under the normal curve to the left corresponding to 0.1028  is

   [tex]P( Z < 0.1028 ) = 0.54094[/tex]

=> [tex]P( p < 435.82 ) = 0.54094[/tex]

       

   

I need help with this .
use the name of the graph to name the function ​

Answers

Constant function would be the correct answer

At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?

Answers

Answer:

400 total

Step-by-step explanation:

so 100 is 25% of 100% and 25%x4=100%

so do 100x4=400=100% of the middle schoolers

Find the smallest side of RST, given that

Answers

Answer:

doesn't it give you the angles for each letter? If that is the case then it would be 33

Step-by-step explanation:

May I have brainliest please? :)

Answer:

RT

Step-by-step explanation:

RT

Since angle S is the smallest angle, the smallest side is opposite that.

I suck at math I need help

Answers

Answer:

74° is the answer

In the triangle

112°+33°+a=180. (sum of angles of triangle)

a=180-145

a=35°

a+b+71°=180. (linear pair)

35°+b+71°=180

b=180-106

{b= 74°}

If two sides of a triangle are 7 and 14, the third side may be?

Answers

Answer:

it would be 2

Step-by-step explanation:

Answer:

smaller than the sum of the other two sides

In this case less than 21

Step-by-step explanation:

Triangle Inequality Theorem

6 + x = 6 help please

Answers

Answer:

The correct answer is that x = 0.

Answer:

x=0

Step-by-step explanation:

6+x=6

x=6-6

x=0

What volume would a 200 g sample of gold have, if its density is known to be 19.3

Answers

Answer:

The volume that a 200 g gold sample would have is 10.36 mL.

Step-by-step explanation:

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?

[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]

volume= 10.36 mL

The volume that a 200 g gold sample would have is 10.36 mL.

A 4 quart container of window cleaner costs $12.48. What is the price per cup?

Answers

Answer:

$3.12

Step-by-step explanation:

A quart is 4 cups

Divide the Price $12.48 by 4 = $3.12 a cup

A recipe calls for 1 1/2
teaspoons of cinnamon to make 2 oatmeal cookies.

How many teaspoons
of cinnamon are needed to make 60 oatmeal cookies?

Answers

Answer:

45

Step-by-step explanation:

Plz Help. Euler Equations are hard!
Find the general solution to the following differential equation.

Answers

An

2 pie/3

Step-by-step explanation:

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?

Answers

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

[tex]l^2 = h^2 +d^2[/tex]

[tex]l^2 = 6^2 + d^2[/tex]

[tex]l^2 = 36 + d^2[/tex]

We relate to:  [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]

From the question;

l = 34,

So to find [tex]\dfrac{dd}{dt}[/tex], we get;

[tex]d = \sqrt{l^2 - 36}[/tex]

[tex]d = \sqrt{34^2 - 36}[/tex]

[tex]d = \sqrt{1156- 36}[/tex]

[tex]d = \sqrt{1120}[/tex]

d = 33.46

So, we have:

[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]

[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]

[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]

[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]

If someone is smart enough to do this your a genius and I will give you a brainless

You have to fill in the blanks

Answers

A. 107
B. 29
C. 70
D. 73
E. 73
F. 151
G. 151
H. 110
I. 110
J. 44
K. 41
L. 107
M. 107
N. 73
O. 73
P. 44
Q. 119

Solve the system
-3x+4y+2z=1
x+2y-z=6
2x-y+4z=7

Answers

Answer:

its A dont know how to explain it but i did the math and yes it is (2,3,1)

Step-by-step explanation:

Answer:

the answer is d (3,2,1) according to the picture given

Step-by-step explanation:

the system you wrote is different from the picture

Quick 50 points brainliest
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Answers

Answer:

[tex]0\leq d\leq 7[/tex]

Step-by-step explanation:

[tex]11.79=11(1.01^d)\\1.01^d=\frac{11.79}{11} \\1.01^d=1.0718\\ln(1.01^d)=ln(1.0718)\\d ln(1.01)=ln(1.0718)\\d=\frac{ln(1.0718)}{ln(1.01)} \\d=\frac{0.069}{0.0099} \\d=6.9696[/tex]

By rounding up.

d=7

Hence, the domain is

[tex]0\leq d\leq 7[/tex]

Answer:

0<x<d

its so easy if you need help

hi guys whats 456829+345627=

you will win 85 points

Answers

Answer:

802456

Step-by-step explanation:

what are the possible values for the ones digits when a number is a multiple of 5

Answers

Answer:

0, 5

Step-by-step explanation:

5 * 0 = 0

5 * 1 = 5

5 * 2 = 10

5 * 3 = 15

5 * 4 = 20

5 * 5 = 25

etc.

Answer: 0, 5

Which of the following relations between input numbers and output numbers is not a function?

Answers

Answer:

B

Step-by-step explanation:

6. f(x) = (x + 2). g(X) = (X+3) Find (fºg)(x)

Answers

Answer:

(f o g)(x) = x + 5

General Formulas and Concepts:

Algebra I

Combining Like Terms

Algebra II

Function Composition

Step-by-step explanation:

Step 1: Define

f(x) = x + 2

g(x) = x + 3

(f o g)(x) = f(g(x))

Step 2: Find

Substitute:                         (f o g)(x) = (x + 3) + 2Combine like terms:         (f o g)(x) = x + 5

Answer:

f(x+3)=x+5

Goodluck to you

this one is also giving me a hard time

Answers

Answer:

Step-by-step explanation:

y = mx + b

[tex]m_{LN} = m_{NP }[/tex] = - [tex]\frac{10}{4}[/tex] = - [tex]\frac{5}{2}[/tex]

y-intercept is 1

y = - [tex]\frac{5}{2}[/tex] x + 1

I’m timed please help

The David family traveled to silver lake in five hours. Their return trip took 7/8 of the time it took to travel to the lake. How long did the return trip take

O 4 1/8

O 4 3/8

O 5 5/7

O 5 7/8

Answers

Its either 5 7/8 if your adding but if your multiplying it’s 4 3/8, I personally think that’s it’s multiplying.

A new basketball 20% off if it’s original price and is now selling for $36 what is the original price of the basketball before
the sale?

Answers

The answer is 180$ hope this helps

Brandon currently runs the mile in 6.8 minutes.
If he can cut 10 seconds off of his , -mile rate, what will his new mile time be?

Answers

6 mins 38 seconds

.8 of 60 secs is 48 seconds so his time is 6 mins and 48 seconds, cutting off 10 seconds gives a new time of 6 mins 38 seconds

In the figure above, how would you set up your equation?

Answers

Step-by-step explanation:

2×+6 + 5 = X+10

2x -x =10 -11

x= - I

BC = 2(-1) + 6=4

AC = -1+10 = 9

13/3 = 26/c help ASAP PLZ!!!!!!!!!!!!!

Answers

C=6
13 is half of 26
All you’re doing is basically adding 13+13 together which is 26 and then 3 plus 3 which is 6

Pls Answer this Right and Professionally I’m begging you I will mark a brainless too

Answers

Answer:

3. x=110  y=110  t=70

4. a=105  b=105  c=75  d=75  e=105  g=75  f=75

Step-by-step explanation:

X=110,Y=110,T=70
Should be the answer to the 1st question. 110+70=180

A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours

Answers

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

Alice is opening a savings account which earns 2.2% interest, compounded continuously.

How much will she need to deposit in the account so that she has $6200 after 3 years?Round your answer to the nearest dollar.

Answers

Answer:$5804

Step-by-step explanation:

P=6200/e^(0.022)(3)

Answer:

5804 just trust me i got it right

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Access to the legal system became an important tool for African people in obtaining and defending their freedom.Some African-Dutch people had already encountered Christianity in Africa, and many joined the Dutch Reformed church in New Amsterdam in hopes of gaining freedom for themselves or their children. Maria Van Angola was an active church member for at least 41 years and acted as a witness for many baptisms.In 1643, as the colony was at war with the Mohawk nation, the Company emancipated 11 people. Each received a small plot of land (about 510 acres) north of the wall on todays Wall Street, where they could act as a buffer against Native incursions. These Africans were half-free, meaning that they were still expected to pay fees to the Company and their children would not be legally free.Owning land meant more than a farmit was a key to status as a freeholder with political rights. 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