Answer:
60 baseball and 20 football
Step-by-step explanation:
2. (05.02 LC) Which equation does the graph below represent? (5 polnts) 8 2 .2 O y = 2x Y = 2 x y = 2 + x
Answer:
b
Step-by-step explanation:
What is the solution to this equation?
2x +3 =X-4
Answer:
-7
Step-by-step explanation:
2x + 3 = x - 4
-3 = -3
2x = x - 7
-x -x
x = -7
4 ÷ (-6) =
please write the answer as a fraction
Answer:
[tex] \frac{ - 2}{3} [/tex]
Step-by-step explanation:
if it is right mark me brainliest
What is the value of the expression 6 + 5 · (8 ÷ 2) 2 ?
Answer:
88
Step-by-step explanation:
6+5=11
8/2=4
11x(4)2
The value of the expression 6 + 5 . (8 ÷ 2) 2 is 46.
What is BODMAS rule?BODMAS rule is a rule of calculating expressions which include more than one different mathematical operations.
BODMAS is an abbreviation for Brackets, Orders, Division, Multiplication, Addition and Subtraction.
So while calculating expressions including different operations, we should follow this order.
Here, the given expression is 6 + 5 . (8 ÷ 2) 2.
By BODMAS rule, we should calculate the expression in the bracket first.
8 ÷ 2 = 4
So, the expression becomes 6 + 5 × 4 × 2.
There are two operations, multiplication and addition here.
We should go for multiplication first.
5 × 4 × 2 = 40
The expression becomes 6 + 40 = 46.
Hence we got the value of the expression 6 + 5 . (8 ÷ 2) 2 as 46.
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Do all numbers have a prime factorization
Answer:
It depends on the numbers
Step-by-step explanation:
Give some examples
The endpoints of CD are (-2,-4) and D (6,2). What are the coordinates of the midpoint of CD?
The midpoint of the line segment CD whose coordinates (-2,-4) and D (6,2) will be (2, -1).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoint of the segment CD is given as C(-2, -4) and D(6, 2). Then the mid-point of the line segment CD will be
(x, y) = [(-2 + 6) / 2, (-4 + 2) / 2]
(x, y) = (4/2, -2/2)
(x, y) = (2, -1)
The midpoint of the line segment CD whose coordinates (-2,-4) and D (6,2) will be (2, -1).
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Write an algebraic expression that represents each word expression. You want to store an equal number of books on each of the 5 shelves on your bookcase. If you have b books, how many books will be on each shelf?
Answer: [tex]\dfrac{b}{5}[/tex]
Step-by-step explanation:
Given: Let b = Total number of books.
Total shelves = 5
Number of books on each shelf = (Total number of books) ÷ (Total shelves)
= b ÷ 5
[tex]=\dfrac{b}{5}[/tex]
The required expression for the number of books on each shelf = [tex]\dfrac{b}{5}[/tex]
at one of george washington's parties, each man shook hands with everyone except his spouse, and no handshakes took place between women. if 1313 married couples attended, how many handshakes were there among these 2626 people?
The total number of handshakes was 234.
The first man shook hands with 12 other men.The second man shakes hands with 11 other men, as he had already shaken hands with the first man.Like-wise, the last man does not need to shake hands again as every man has already shaken hands with him in their respective turns.The number of handshakes among men is 0 + 1 + 2 + … + 12.The sum of "n" natural numbers = (n)(n+1)/2The number of handshakes among men is 12(13)/2.The number of handshakes among men is 78.Each man shakes hands with every woman except his spouse.Each man shakes hands with 12 other women.The number of handshakes between men and women is 13*12.The number of handshakes between men and women is 156.The total number of handshakes is 78 + 156.The total number of handshakes is 234.To learn more about natural numbers, visit :
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What is the sale price on an item that is $50 with a 54% markdown?
The sales price on an item that is $50 with a 54% markdown is $23
How to determine the sale price on an item that is $50 with a 54% markdown?The given parameters are
Item price = $50
Markdown = 54%
The sales price on an item that is $50 with a 54% markdown is calculated as
Sales price = Item price * (1 - Markdown)
So, we have
Sales price = 50 * (1 - 54%)
Evaluate
Sales price = 23
Hence, the sales price on an item that is $50 with a 54% markdown is $23
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Between 7 and 8 o'clock, there were 56 vehicles in the zoo parking lot. There were 3 times as many vans as cars.
How many vans and how many cars were counted?
Answer:
14 cars, 42 vans
Step-by-step explanation:
can divide the total by 4, since the number of cars is just 3x the number of vans
x+3x=56
4x=56
56/4
14 cars times 3 plus the original 14
There are 14 cars times 3 plus the original 14.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given Between 7 and 8 o'clock, there were 56 vehicles in the zoo parking lot. There were 3 times as many vans as cars.
Then it can divide the total by 4, since the number of cars is just 3x the number of vans.
x+3x=56
4x=56
56/4
Therefore, there are 14 cars times 3 plus the original 14.
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7x + 2y + x + 10y=180
A driver drives to school along the same routine Monday through Friday. There is one traffic light on her route . The probability that the light will be red is 65% . What is the probability that she will not have to stop at the light all next week?
Answer:
0.525%
Step-by-step explanation:
Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...
35% / 100 = 0.35
0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage
0.00525 * 100 = 0.525%
Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%
hello im ganna do fraccions what is 13\15 + 8\3 + 2\9 =
Answer:
3 34/45
Step-by-step explanation:
The common denominator of these is 45.
13/15 = 39/45
8/3 = 120/45
2/9 = 10/45
Add that up and that is 169/45
Simplify as a mixed number, and it would be 3 34/45
Answer:
169/45
Step-by-step explanation:
First lets do 13/15 + 8/3.
We can multiply 8/3 by 5 to both num and denom for a ration, with the denominator being 15: 40/15.
Then add 13/15 to 40/15 to get 53/15
Now multiply that by 3 to both num and denom to get 159/45. This is to get the least common factor with 9.
2/9 can be multiplied by 5 to both num and denom to get the least common factor with 15: 10/45
Now add 159/45 with 10/45 = 169/45
169/45 is the least it can be simplified so that is the answer.
I NEED HELP AND FAST PLEASE!!! I’m not sure if I chose the right answer or not!!
Answer:
d
Step-by-step explanation:
the graph increases then goes horizontal
Answer:
D
Step-by-step explanation:
D is the choice you have to make. The culprit is the word quickly. You can't tell if the speed is increasing quickly or not.
The correct part of d is that the bicycle stays at a constant rate until the end of the timing of the graph.
Mrs. Farnam is getting new carpet in her class! Her classroom is 12 meters long and 22 meters wide. How many square meters of carpet does she need?
Answer:
264 square meters
Step-by-step explanation:
108 is one interior angle of a regular
Answer:
There are 108° in each interior angle of a regular pentagon. This process can be generalized into a formula for finding each interior angle of a REGULAR polygon Each interior angle of a “regular” polygon is given by where n = the number of sides in the polygon.
Step-by-step explanation:
Edgar said 3/5 is equivalent to 18/32. Check his work by making a
table of equivalent ratios.
Answer:
In a nutshell, [tex]\frac{3}{5}[/tex] is not equivalent to [tex]\frac{18}{32}[/tex].
Step-by-step explanation:
Now we proceed to demonstrate that Edgar's statement is false:
1) [tex]\frac{3}{5}[/tex] Given
2) [tex]\frac{3}{5} \times \frac{2}{2}[/tex] Modulative property/Existence of multiplicative inverse
3) [tex]\frac{6}{10}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]
4) [tex]\frac{6}{10}\times \frac{3}{3}[/tex] Modulative property/Existence of multiplicative inverse
5) [tex]\frac{18}{30}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}[/tex]/Result
In a nutshell, [tex]\frac{3}{5}[/tex] is not equivalent to [tex]\frac{18}{32}[/tex].
Samantha puts $800.00 into an account to use for school expenses. The account earns 11% interest, compounded annually. How much will be in the account after 10 years? Round your answer to the nearest cent.
Answer:
$2271.54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Formula: [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is final amountP is principle amountr is raten is compoundt is time in yearsStep-by-step explanation:
Step 1: Define
P = 800.00
r = 0.11
n = 1
t = 10
Step 2: Find A
Substitute [Formula]: [tex]A=800(1+\frac{0.11}{1} )^{1(10)}[/tex]Divide/Multiply: [tex]A=800(1+0.11 )^{10}[/tex]Add: [tex]A=800(1.11 )^{10}[/tex]Exponents: [tex]A=800(2.83942)[/tex]Multiply: [tex]A=2271.54[/tex]a small college had 2570 students in 1994 and 2734 students in 1996. if the enrollment follows a linear growth pattern, how many students should the college have in 2004 ?
Answer: The final answer is 3390.
Step-by-step explanation:
Before answering the question, you have to understand that a linear growth pattern is a straight-line pattern (not exponential growth).
-From 1994 to 1996 are 2 [years]
-In 2 [years], there is a growth of 2734-2570 = 164 [students]
-With a linear growth, we can take the above [number of students] (164) divided by 2 [years] to get a [growth rate] of 82 [students per year]
⇒ [tex]\frac{164}{2} =82[/tex] [[tex]\frac{number of students}{years}[/tex] or number of students per year or growth rate]
-From 1996 to 2004, there are 8 [years]
-Therefore:
8 [years] × 82 [students per years] = 656 [students] => increased in students
-We add 656 [students] increased to 2734 [students] in 1996 = 3390 [students] in 2004
The final answer is 3390.
Hope this help. :D
Help pls and thank you!!
Answer:
it's 8x
hope i could help :)
plz help i will report if your not trying to answer
Answer:
c
Step-by-step explanation:
It might be wrong but I think its right
Answer:
36
2^2 = 4
9^0 = 1
To manufacture scooters, the manufacturer has a fixed cost of 34,400$$ plus a variable cost of n $$ per scooter. Find 100$$, the number of scooters that need to be produced so that the average cost per scooter is 180$$.
Answer:
The number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
Step-by-step explanation:
Note: This question is not properly structured/written. The question is therefore rewritten properly before answering the question as follows:
To manufacture scooters, the manufacturer has a fixed cost of $34,400 plus a variable cost of $100 per scooter. Find n, the number of scooters, that need to be produced so that the average cost per scooter is $180.
The explanation of the answer is now provided as follows:
The number of scooters can be calculated as follows:
Variable cost per scooter = $100
n = number of scooter = ?
Total variable cost = Variable cost per scooter * n = $100 * n = $100n
Total cost = Fixed cost + Total variable cost = $34,400 + $100n
Average cost per scooter = Total cost / n = $180 ................ (1)
Substituting the value for Total cost into equation (1) and solve for n, we have:
($34,400 + $100n) / n = $180
$34,400 + $100n = $180n
$34,400 = $180n - $100n
$34,400 = $80n
n = $34,400 / $80
n = 430
Therefore, the number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
Solve the system given:
y = -6
y = -2x - 2
A(-3,1)
B (-6,2)
C (1,3)
D (2,-6)
the answer to your question is:
D (2, -6)
i hope this was helpful ;)
Lee won 30 tickets at the carnival. He then gave each of his friends 2 tickets. He has 4 tickets left. How many friends does Lee have?
Answer: 30-4=x 4+x=30 x=26
Step-by-step explanation: So he has 30 tickets and he gives 2 to each of his friends which means that lee has 26 friends with 4 tickets left over.
Can you help me I have no idea how to do this
Answer:
[tex](f + g)(x) = 7 - 6x[/tex] --- (1)
[tex](f - g)(x) = 6x - 1[/tex] -- (2)
[tex](f . g)(x) =4(5^x)[/tex] ---- (3)
[tex](f / g)(x) = \frac{4}{5^x}[/tex] ----- (4)
[tex](f + g)(x) = -7x-7[/tex] --- (5)
[tex](f - g)(x) = 9x+ 9[/tex] --- (6)
[tex](f . g)(x) = (-8)(x+1)^2[/tex] --- (7)
[tex](f / g)(x) = -\frac{1}{8}[/tex] ----- (8)
[tex]F(t) = \frac{9}{5}t^2 + 32[/tex] ---- (9)
[tex]T(t) = (t - 2)^2 - 4[/tex] --- (10)
Step-by-step explanation:
Given
[tex]f(x) = 3[/tex]
[tex]g(x) = 4 - 6x[/tex]
Solving (1): (f + g)(x)
[tex](f + g)(x) = f(x) + g(x)[/tex]
So, we have:
[tex](f + g)(x) = 3 + 4 - 6x[/tex]
[tex](f + g)(x) = 7 - 6x[/tex]
Solving (2): (f - g)(x)
[tex](f - g)(x) =f(x) - g(x)[/tex]
So, we have:
[tex](f - g)(x) =3 - (4 - 6x)[/tex]
[tex](f - g)(x) =3 - 4 + 6x[/tex]
[tex](f - g)(x) =-1 + 6x[/tex]
[tex](f - g)(x) = 6x - 1[/tex]
Given
[tex]f(x) = 4[/tex]
[tex]g(x) = 5^x[/tex]
Solving (3): (f . g)(x)
[tex](f . g)(x) =f(x) * g(x)[/tex]
So, we have:
[tex](f . g)(x) =4 * 5^x[/tex]
[tex](f . g)(x) =4(5^x)[/tex]
Solving (4): (f / g)(x)
[tex](f / g)(x) = \frac{f(x)}{g(x)}[/tex]
So, we have:
[tex](f / g)(x) = \frac{4}{5^x}[/tex]
Given
f(x) = x + 1
g(x) = -8 - 8x
Solving (5): (f + g)(x)
[tex](f + g)(x) = f(x) + g(x)[/tex]
So, we have:
[tex](f + g)(x) = x + 1 -8-8x[/tex]
Collect Like Terms
[tex](f + g)(x) = x -8x+ 1 -8[/tex]
[tex](f + g)(x) = -7x-7[/tex]
Solving (6): (f - g)(x)
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex](f - g)(x) = x + 1 -( -8-8x)[/tex]
[tex](f - g)(x) = x + 1 +8+8x[/tex]
Collect Like Terms
[tex](f - g)(x) = x +8x+ 1 +8[/tex]
[tex](f - g)(x) = 9x+ 9[/tex]
Solving (7): (f . g)(x)
[tex](f . g)(x) = f(x) . g(x)[/tex]
So, we have:
[tex](f . g)(x) = (x+1) . (-8 - 8x)[/tex]
Factorize
[tex](f . g)(x) = (x+1) .(-8) (1 + x)[/tex]
Rewrite as:
[tex](f . g)(x) = (x+1) .(-8) (x+1)[/tex]
[tex](f . g)(x) = (-8)(x+1) (x+1)[/tex]
[tex](f . g)(x) = (-8)(x+1)^2[/tex]
Solving (8): (f / g)(x)
[tex](f / g)(x) = \frac{f(x)}{g(x)}[/tex]
So, we have:
[tex](f / g)(x) = \frac{(x+1)}{(-8-8x)}[/tex]
Factorize
[tex](f / g)(x) = \frac{(x+1)}{-8(1+x)}[/tex]
[tex](f / g)(x) = \frac{1}{-8}[/tex]
[tex](f / g)(x) = -\frac{1}{8}[/tex]
Solving (9):
From the question, we have that:
[tex]F(c) = \frac{9}{5}c + 32[/tex]
[tex]C(t) = t^2[/tex]
Required
Determine function F in terms of c
The implication of this question is to solve for [tex]F(c(t))[/tex]
If [tex]F(c) = \frac{9}{5}c + 32[/tex] and [tex]C(t) = t^2[/tex],
Then
[tex]F(c(t)) = \frac{9}{5}*t^2 + 32[/tex]
[tex]F(c(t)) = \frac{9}{5}t^2 + 32[/tex]
This can be rewritten as:
[tex]F(t) = \frac{9}{5}t^2 + 32[/tex]
Solving (10):
[tex]T(h) = h^2 - 4[/tex]
[tex]h(t) = t - 2[/tex]
Required
Find [tex]T(h(t))[/tex]
If [tex]T(h) = h^2 - 4[/tex] and [tex]h(t) = t - 2[/tex], then
[tex]T(h(t)) = (t - 2)^2 - 4[/tex]
This is gotten by substituting t -2 for h
The solution can be rewritten as:
[tex]T(t) = (t - 2)^2 - 4[/tex]
Colbalt-60 has half-life of about 5 years, How many grams of a 300 g sample will remain after 20 years?
Answer:
After 20 years 18.75 gm of sample will remain.
Step-by-step explanation:
The half-life is the time it takes for any amount of Cobalt-60 to decay to half the starting amount.
20 years is 4 times the half-life of 5 years. So there would be
(300 g) / 2⁴ = 18.75 g
remaining after 20 years.
In other words, after 5 years, 300 g decays to 150 g.
After another 5 years (total 10 years), 150 g decays to 75 g.
After another 5 years (total 15 years), 75 g decays to 37.5 g.
After another 5 years (total 20 years), 37.5 g decays to 18.75 g.
PLEASE HELP I WILL GIVE OUT BRAINLIST
Answer:
x = 17
<2 = 121
Step-by-step explanation:
We know that angle 1 and angle 3 form a linear pair, which means they add to 180
7x+2 + 3x+8 = 180
Combine like terms
10x+ 10 = 180
Subtract 10 from each side
10x+10-10 = 180-10
10x = 170
Divide by 10
10x/10 =170/10
x = 17
Angle 1 and angle 2 are vertical angles and vertical angles are equal
<1 = <2 = 7x+2 = 7(17) +2 =119+2=121
At Acme Inc., there are 3 more than twice as many salespeople as inventors. If the whole company has 27 employees,
how many inventors are there?
Answer:
There are 8 inventors.
Step-by-step explanation:
Let 's' be the salespersonLet 'i' be the inventorsGiven that there are 3 more than twice as many salespeople as inventors.
i.e s = 3+2iAlso given that the whole company has 27 employees.
i.e.
s + i = 27
substituting s = 3+2i
3 + 2i + i= 27
3 + 3i = 27
3i = 27 - 3
3i = 24
divide both sides by 3
i = 8
Thus, there are 8 inventors.VERIFICATION
As the total number of employees is 27.
so the salespeople will be:
s = 3+2i
= 3 + 2(8)
= 3 + 16
= 19
Thus, the total employees are verified as:
s + i = 27
19 + 8 = 27
27 = 27
What are the solutions of the quadratic equation?
3x? - 23x + 40 = 0
Could anybody help me with this i will cashapp u $5 if its right
Answer:
a. Correct
b. Incorrect
c. Correct
d. Incorrect
e. Incorrect
Step-by-step explanation:
b. Incorrect because negative hours do not make sense
d. 80 is achieved only with more than 3.89 hours of study, so 3.5 is not enough
e. No, the score is the dependent, it comes out of the formula.