Answer:
by taking Hcf of 96 and 72 we get 4 so each team have 4
'24' teams can be made with each team having 4 girls and 3 boys.
Given that,
No. of girls = 96
No. of boys = 72
Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.
96 = 2 * 2 * 2 * 2 * 2 * 3
72 = 2 * 2 * 2 * 3 * 3
GCF = 2 * 2 * 2 * 3 = 24
Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:
No. of girls in each team = Total girls/no. of teams
= 96/24
= 4 girls
No. of boys in each team = Total boys/no. of teams
= 72/24
= 3 boys
Thus, each team will have 4 girls and 3 boys.
Learn more about 'Greatest Common factor' here:
brainly.com/question/1983426
I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!!!
The figure below shows a square ABCD and an equilateral triangle DPC:
ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle D
Jake makes the chart shown below to prove that triangle APD is congruent to triangle BPC:
Statements Justifications
In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal
Sides of square ABCD are equal
In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° and angle ADP = angle BCP = 90° − 60° = 30°
Triangles APD and BPC are congruent SAS postulate
Which of the following completes Jake's proof? (1 point)
In triangles APD and BPC; AD = BC
In triangles APD and BPC; AP = PB
In triangles APB and DPC; AD = BC
In triangles APB and DPC; AP = PB.
9514 1404 393
Answer:
(a) In triangles APD and BPC; AD = BC
Step-by-step explanation:
We're not concerned with triangle APB, eliminating the last 2 choices.
We're not concerned with sides AP and BP, as they're not sides of the square, eliminating the second choice.
The choice that makes any sense in the proof is ...
In triangles APD and BPC; AD = BC
pls help with these two questions!
Answer:
1. D 2. A
Step-by-step explanation:
please tell me if you need an explanation.
Answer:
Question 1. CQuestion 2. AStep-by-step explanation:
Question 1Given equation
(-2/3)x - y = -9Rewrite in slope-intercept form:
(-2/3)x - y = -9(-2/3)x + 9 = yy = -2/3x + 9The slope is -2/3 and the y-intercept is 9
Correct answer option is C or third option
Question 1Given equation
C = 10 + 0.25mThe bill of $25 is represented as:
25 = 10 + 0.25mCorrect option is A or the first option.
solve algebraically for all values of x[tex]\sqrt{x-4} +x=6[/tex]
Answer:
x=5
sqrt of 5-4=1
then 1 +x(5)=6
The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:
Start with the given equation: (√x - 4) + x = 6.
Begin by isolating the square root term on one side of the equation. Subtract x from both sides:
(√x - 4) + x - x = 6 - x
√x - 4 = 6 - x
Move the constant term to the right side by adding 4 to both sides:
√x - 4 + 4 = 6 - x + 4
√x = 10 - x
Square both sides of the equation to eliminate the square root:
(√x)² = (10 - x)²
x = (10 - x)²
x = (10 - x)(10 - x)
x = 100 - 10x - 10x + x²
x = 100 - 20x + x²
Rearrange the equation to form a quadratic equation:
x² - 21x + 100 = 0
Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:
(x - 4)(x - 25) = 0
Set each factor equal to zero and solve for x:
x - 4 = 0 or x - 25 = 0
Solving for x in each case:
x = 4 or x = 25
Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
To know more about equation:
https://brainly.com/question/10724260
#SPJ6
Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74
Answer:
36+14+24=74
Step-by-step explanation:
How i figured it out is if you add 36+14 that equals 50 and 50+24=74
that is your answer.
hope this helps;)
determnine if each table shown below represents a function or not.
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 1, it is clear that:
Each input or x-value of the X set has a unique y-value or output of the Y set. There is no duplicated input (repeated x value).Therefore, Table 1 represents a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 7 15 10 23 30
We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From Table 2, it is clear that:
There is a duplicated input (repeated x value) i.e. x = 7 appears twice. And we can not have repeated input values.As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.
Therefore, Table 2 does not represent a function.
What is the area of a 3/4 yards and 5/6 yard rectangle?
Answer: 15/24
Step-by-step explanation:
A x B = 5/6 x 3/4 = 15/24
the table shows the relationship between the number of CDs and their cost at the flea market. Which equation shows the same relationship?
Answer:
probably 2.5/d
Step-by-step explanation:
my mathematical teacher
direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5
Answer:
the answer is A.................
PLEASE HELP ASAP i am willing 30 points
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for FEDERAL INCOME TAX for this pay period was $
567
becoz it's merits in increment
Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks. °ω°
Answer:
D ( not 100 percent) hear me out time is constant and I think the constant has to be on the bottom
Step-by-step explanation:
It’s between c and d for me hope this gets you a lil further ahead
A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?
Answer:
t=9.40865\approx 9.4 \text{ years}
t=9.40865≈9.4 years
Step-by-step explanation:
Select the correct answer.
Simplify.
Answer:
is it m-9?Step-by-step explanation:
Answer:
its 1 /d
Step-by-step explanation:
6*3 is 18,
so its m^18 / m^18
which is 1
Have a good day!!!
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)
Answer:
the second one
Step-by-step explanation:
(5x + 5 - 2x)(4 + 7x - 1)
Answer: 21x^2 + 44x + 15
Step-by-step explanation:
first, i used the distributive property.
5x x (4 + 7x - 1) + 5 (4 + 7x - 1) - 2x x (4 + 7x - 1)
then, i removed the parentheses.
20x + 35x^2 - 5x + 20 + 35x - 5 - 8x - 14x^2 + 2x
then, i collected the like terms.
44x + 21x^2 + 15
finally, i reordered the terms.
21x^2 + 44x + 15
Someone please help me I only have until January 18th to turn this in. Question: Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag. What is the total weight, in tons, of the dog food Mr. Lopez delivers to the animal shelter?
Answer:
Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Step-by-step explanation:
Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.
The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]
The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]
Each pallet weighs = 1500 pounds
2 pallets weighs = 1500×2=3000 pounds.
We know that 2000 pounds = 1 ton
[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]
Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
What expression represents the value of y?
The expression that represents the solution of y is y = √wz
How to determine the value of y?The triangle represents the given parameter
Also, we can see that the figure combines two right-angled triangles is
By the theorem of the right-angled triangle
w : y = y : z
Express the above ratio as a fraction
So, we have the following equation
w / y = y / z
Cross multiply in the above equation
So, we have
y² = wz
Take the square roots
y = √wz
Hence, the solution of y is y = √wz
Read more about right-angled triangle at
https://brainly.com/question/1248322
#SPJ1
A radio is on sale for $50. If the price represents a 10% discount from the original price, what is the original price to the nearest nickel?
Answer:
Ok, so the discount is given in a percentage, in this case 10%. The sale price is going to reflect 10% of the original price minus the discount, so...
Sale $ = original$ - original $ x .10
If we use some algebra, we can reorganize the equation to solve for the original price...
Sale $ = original$ - original $ x .10
Sale $ = original$ (1 - .10)
Sale $ = original$ x .90
original$ = sale$/.90
So now we can plug in our values
original price = 50/.90
original price = 55.55555 = $55.55 to the nearest nickel
can someone help with this
Answer: -1
Step-by-step explanation:
Find the Slope
(0, 2) , (1, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called r ise).
y2 − y1
m = _____
x2 − x1
Substitute in the values of x and y into the equation to find the s lope.
1 − (2)
m = _____
1 − (0)
Simplify.
Simplify the numerator.
−1
m = ____
1 − (0)
Simplify the denominator.
−1
m = ___
1
Divide −1 by 1.
m = −1
Identify the function by that reflects f(x)=5x^3-3 across the x axis and shifts up 2 units
The new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=5x³-3.
When a function f(x) is reflected over the x-axis, it becomes a new function g(x)= -f(x).
The given function reflected across the x-axis and shifts up 2 units.
Now, g(x)= -(5x³-3)+2
= -5x³+3+2
= -5x³+5
Therefore, the new function after reflected across the x-axis and shifts up 2 units is g(x)= -5x³+5.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Giving brainliest!!!???
Answer:
B.
Step-by-step explanation:
Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.
I hope this helps :)
Evaluate the expression for the given value of x.
4.5 − 1.5 for = 3
Answer:
Either 0, 12, or 9 (Possibly)
Step-by-step explanation:
I'm assuming that you forgot to put the x next to 4.5 or 1.5 or that you forgot to put x next to both of them and that =3 means x=3
Case 1 (4.5x - 1.5x, x = 3):
You can simplify this expression because both of the units are the same (x). 4.5x - 1.5x = 3x. Next, you have to plug in 3, which would be 3 * 3 which is 9.
Case 2 (4.5x - 1.5, x = 3):
Plug in 3 and you would get 13.5 (4.5 * 3) - 1.5, which is equal to 12.
Case 3 (4.5 - 1.5x, x = 3):
Plug in 3 and you would get 4.5 - 4.5 (1.5 * 3), and since they are the same, it is equal to 0.
If none of these are the answer or you are asking something else, feel free to comment on this answer
-Hope this helped-
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
What is the y-intercept in the table of values
Answer:your mom
Step-by-step explanation:
cause i took it already
please give explanation cuz i dont know how to do this
Answer:
Step-by-step explanation:
y=a*b^x
a=$2,000
This is the amount that the homeowner borrowed from the lender
b=This would be represented as 1.04 in decimal form
The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)
x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years
Therefore the equation would be y=2000*(1.04)^x
Covert 7/8 to a decimal to a percent
and show a example how you do It
Answer:
[tex] \frac{7}{8} \\ = 0.875 \\ = 87.5percent[/tex]
Step-by-step explanation:
To get the decimal we divide: 7÷8=0.875
To get percentage multiply 0.875 by 100 So
0.875×100=87.5%
c=27+10h where c= cost in dollars and h= number of hours rented
Answer:
that help
Step-by-step explanation:
10h+27+−27=c+−27
10h=c−27
10h10=c−2710
h=110c+−2710
Answer:
h=110c+−2710
Can anyone Help me pleasee!
Megan ate a fraction of a fruit salad. David ate 1/4 of the rest of the salad. If 9/16 of the salad is left, what fraction did Megan eat?
Answer:
5/16
sorry if i get it wrong! :(
if y=4x+5 what is the slope of the line
Answer:
4
Step-by-step explanation:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
In this case, check what number replaces the variable for slope, m:
y = mx + b
y = 4x + 5
In this case:
y = y
m = 4
x = x
b = 5
Therefore, 4 is your answer.
~
Hii!
___________________________________________________________
Answer:
Below is all the information you need! ^^
Step-by-step explanation:
Note that the equation that is given to us is in slope intercept form.
The slope intercept formula is y=mx+c, in which.
m=slope
c=y intercept
In the equation y=mx+c, the slope is m.
Similarly, in the equation y=4x+5, the slope is 4.
--
Hope that this helped! Best wishes.
--