A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?
Answer:
5 helmets
31 caps
8.25, 16.50 24.75 33 x 10 = 330
330/2 = 165 = 20 helmets
363.50 - 165 = 198.50
5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 = 198.50
20+11 = 31
31 caps
5 helmets
Step-by-step explanation:
There are 10 helmets did the coach purchase.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
A baseball coach purchased a total of 28 helmets and caps.
And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.
Let number of helmets = x
And, Number of caps = y
Here, A baseball coach purchased a total of 28 helmets and caps.
Hence, We get;
⇒ x + y = 28 ..(i)
And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.
Hence, We get;
⇒ 21.50x + 8.25y = 363.50
⇒ 5 (4.30x + 1.65y) = 5 × 72.7
⇒ 4.30x + 1.65y = 72.7 .. (ii)
Multiply by 4.30 in (i) ad subtract from (ii);
⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7
⇒ 2.65y = 47.7
⇒ y = 18
And, From (i);
⇒ x + y = 28
⇒ x + 18 = 28
⇒ x = 10
Hence, Number of helmets = 10
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which of the following polynomial functions could represent the graph on the right?
1.) x³ + x² - 2x.
2.) 2x³ + 2x² - 4x.
3.) 3x³ + 3x² - 6x.
4.) -3x³ - 3x² + 6x.
it's 3.) on edg
Answer:
The answer is 3 :)
1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone
knows). If there is a 4% rate of defect in manufacturing,
a) find the mean number of defects per group.
a)
Answer:
1.44
Step-by-step explanation:
No. of warp coils manufactured in one group = 36
defect rate = 4%
That is 4 out of every 100 warp coil is defective
No. of defective warp coil in one group = 4% of warp coil in one group
= 4% of 36 =4/100 *36
= 1.44
Thus, there are 1.44 defective coil in each group.
Since, mean number is average number of defect.
So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44
What is the product?
StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFraction
StartFraction 4 n Over n + 1 EndFraction
StartFraction n Over n + 1 EndFraction
StartFraction 1 Over n + 1 EndFraction
StartFraction 4 Over n + 1 EndFraction
Answer:
Correct option: second one -> n / (n+1)
Step-by-step explanation:
Writting the expression, we have:
[4n / (4n-4)] * [(n-1) / (n+1)]
First we can simplify the numerator of the first part, dividing numerator and denominator by 4:
[n / (n-1)] * [(n-1) / (n+1)]
The first fraction has n-1 in the denominator and the second fraction has n-1 in the numerator, so we can simplify then in the product:
n* [1 / (n+1)] = n / (n+1)
The final expression is n / (n+1), so the correct option is the second one.
The product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).
What is the Product of Polynomials?Product is the multiplication of two factors in the simplest form.
Thus:
4n/(4n - 4) × (n - 1)/(n + 1)
[4(n)/4(n - 1)] × [(n - 1)/(n + 1)]
Simplify
n/(n-1) × (n-1)/(n+1)
n/(n + 1)
Therefore, the product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).
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Ginger is taking a cab in Washington D.C. The taxi fare includes a base charge of $3.00 as soon as you enter the cab, plus an additional $2.50 per mile traveled. If Ginger starts off with a $50 bill, takes a cab for 8 miles and leaves a $2 tip. How much money will she be left with?
Answer:
she will be left with 25 dollars
Step-by-step explanation:
2.50 x 8=20
20+3+2=25
Answer:
Answer is 25 dollars.
Step-by-step explanation:
3$- 50 dollars= 47.
2.50 x 8= 20 dollars.
20$ -47 = 27.
2$- = 25
-4b - 5 + 2b =10. Can I have some help solving this.
Answer:
-7.5
Step-by-step explanation:
Simplify
-4b - 5 + 2b = 10
-2b - 5 = 10
-2b = 15
b = -7.5
Answer:
-7.5
Step-by-step explanation:
-4*- 7.5 =30
2*-7.5= -15
30-5-15=10
What is the answer to this?
4 x (3-2) + 18
PLEASE HURRY UP!!
Answer:
22
Step-by-step explanation:
4x(3-2)+18
4x(1)+18
4+18
22
4x+18
Answer:
22
Step-by-step explanation:
4 x (3-2) + 18
PEMDAS says parentheses first
4 x (1) + 18
Then multiply and divide
4 +18
Then add and subtract
22
Math question down below
Answer:
4
Step-by-step explanation:
use the x's and y's in this...
y-y over x-x
to get answer.
Answer:
The answered is 4
Step-by-step explanation:
Pls answer quickly, this is due today !!!!!!
Mrs. Rappa has decided to take her $2,000 and go check out the savings accounts at Circle Bank of PI Haven. She picks up a flyer in the lobby. There are a couple of savings accounts to choose from. Look at the copy of the information from the flyer below. Write a letter to Mrs. Rappa and offer your advice to her about her options. Be sure to tell Mrs. Rappa your reasoning (using sentences and showing calculations for each account) to decide which account is best. If you have additional advice for Mrs. Rappa about the number of years she is investing her funds - you may do so.
Savings Accounts Interest Rate Years in account
Sleepy Savings 5% 7
Centsational Savings 10% 3
Answer:
Step-by-step explanation:
Dear Mrs.Rappa,
I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.
Sincerely,
First name Last name Here
Can someone help me with questions 2 and 3 pls?
1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.
1. In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.
Total = 30 × 2 + 42 × 6 = 60 + 252 = 312 pints
Answer: 312 pints
2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.
312 pints / 16 pints per container = 19.5 containers
We round up since we need a whole number of containers.
Answer: 20 containers
We can't really see question 3.
Cindy has 6 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Cindy give 1/3 pound of candy?
Answer:
18
Step-by-step explanation:
In order to solve this problem just divide 1/3 from 6. Multiply the reciprocals to get 6 times 3, which equals 18. This means that she can give 18 friends 1/3 pound of candy.
Hope this helps and stay safe !
Answer: 18 friends each get 1/3 pound of candy.
Step-by-step explanation: 6 ÷ 1/3 can be solved by inverting the divisor and multiplying. So it becomes 6 × 3 = 18
1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.
Answer:
1. (B)P(x) = -3(x-4)(x - 140)
2. $140
Step-by-step explanation:
(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of zero without changing the form of the expression is:
P(x) = -3(x-4)(x - 140)
This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.
(2)When the profit, P(x)=0, then using the expression above we have:
[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]
A price of $4 or $140 as the case may be gives a profit of zero.
What is the solution to this system of equations?
Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions
Answer:
4,2
Step-by-step explanation:
did the test
The solution of the system of equation is (4, 2) which is correct option(A).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given the two systems of equations,
-3x + 5y = -2
3x + 7y = 26
Adding the both equations
-3x + 5y + 3x + 7y = -2+26
12y = 24
y = 2
Substitute the value of y in any one of the equations,
3x + 7 y = 26
3x + 7(2) = 26
3x = 26-14
3x = 12
x = 4
Hence, the solution of the system of equation is (4, 2).
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f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+
Answer:
f(1) = 36
f(n) = f(n-1) - 5.
Step-by-step explanation:
f(1) = 41 - 5 = 36.
f(n) = f(n - 1) - 5.
What is x2 + 6x = x2 - 6x as a system?
Answer:
x = 0
Step-by-step explanation:
I WENT TO PHOTO MATH
H O P E I T H E L P S ! ™©
Answer:
A. y=x^2+6x
y= x^2-6x
the answer to the second part is 0
Step-by-step explanation:
on edgenuity 2020 :))
The likelihood that Steph makes a free throw in basketball is 60%. The likelihood he makes a 3-point shot is 0.345.
Which event is more likely, Steph making a free throw or making a 3-point shot?
Drag the different shots to the correct location on the number line?
which on is first on the number line free throw or making a 3-point shot?
which on is second on the number line free throw or making a 3-point shot?
Answer:
A free throw is more likely
First: 0.345
Second: 60%
Step-by-step explanation:
For placement:
0.345 would be behind 0.5
And
60% would be ahead of 0.5
60% = 0.6
0.345 < 0.6
Answer:
A free throw
Step-by-step explanation:
Megan bought 3.25 yards of ribbon for a craft fair. The ribbon cost $1,40 per yard. How
much did Megan spend for the ribbon?
3.25 x $1.40 =
$4.45
») $4.65
Done >
Answer:
$4.55
Step-by-step explanation:
3.25 x 1.40 = 4.55
HELP ASAP
table
———————————————
Radius (ft) Bushels of corn
500 2705
1000 10818
1500 24341
2000 43273
2500 67613
What type of function best models the given data set?
A. Constant
B. Exponential
C. Linear
D. Quadratic
Answer:
Linear would be fine as it doesn't decrease to under zero
and a curve graph would represent this data fine at 10818 turning point.
Step-by-step explanation:
I need help with this math problem please
Answer:
x=12
Step-by-step explanation:
90 = x + 42 + 3x
48 = x + 3x
48 = 4x
12 = x
Answer:
x = 12
Step-by-step explanation:
Since we are given a right angle, we can say that:
sum of all angles = 90 degrees
x + 42 + 3x = 90
4x = 48
x = 12
So, x is equal to 12 degrees!
Hope this helps))) ^‿^
how do i solve this?
Answer:
idk
Step-by-step explanation:
idk
Answer:
that is to hard
Step-by-step explanation:
Does 22, 95 and 63 form a triangle ? Explain
Answer:
yes
Step-by-step explanation:
because the angles can be, acute, obtuse or right.
Answer:
yes
Step-by-step explanation:
The answer is yes because the angles add up to 180
Which point represents the center of the circle shown below?
Answer:
Point A
Step-by-step explanation:
Point A
The center of the circle is in the middle of the circle. Points C, T, R, and P are on the circumference of the circle, and A is in the middle of the circle, so it is point A
Point A represents the center of the circle, the correct option is D.
What is a Circle?A circle is a round shaped figure, all the points of a circle lie on the same plane and all the points on the circle are at equal distance from a single point called as center.
The image shows a circle.
The point which is equidistant from R,P,G, and T is A.
A is the center of the circle.
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Find the volume of this cylinder. Give your answer to 1 decimal place when the radius is 11 cm and the length is 14 cm
Answer:
5324
Step-by-step explanation:
volume of cylinder=πr^2l=22/7×11^2×14=5324
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.
Answer:
[tex]36a^5[/tex].
Step-by-step explanation:
In a right angle triangle,
Length of one leg [tex]=12a^5[/tex]
Length of other leg [tex]=9a^5[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
Using Pythagoras theorem,
[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]
[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]
[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Perimeter of right angle triangle is the sum of all sides of the triangle.
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex] units.
Therefore, the required expression is [tex]36a^5[/tex].
I need the right answer please
Answer:
a) i) x = 6, y = 9
ii) 20
iii) -5
b) -40
Step-by-step explanation:
3(6) - 2(9)
18 - 18 = 0
greatest
3(10) - 2(5)
30 - 10
20
least
3(5) - 2(10)
15 - 20
-5
5(a - 4b)
5[-7 - 4(¼)]
5(-7 - 1)
5(-8)
-40
What is the value of x in the equation below?
40x + 120 = 720
21
18
15
12.5
Answer:
The answer would be 15.
Step-by-step explanation:
The first thing that you have to do is subtract 120 on both sides
40x + 120 = 720
-120 -120
40x = 600
Then you have to divide by 40.
40x= 600
600 ÷ 40 = 15
x = 15.
I hope I helped
Answer:
15
Step-by-step explanation:
40×15=600+120=720
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
Answer:
I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Answer:
A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
Please Mark As Brainliest...
Sorry For The Smol Brain Question..............
find the term independent of x in the expansion of x^9(2-1/x^3)^6
(it's also pictured)
Answer:
20
Step-by-step explanation:
Is x+by-z a monomial, binomial or trinomial?
Answer:
This would be a trinomial.
Step-by-step explanation:
This is because X is number 1, b(y) is the second number, and -Z is the third.
In a trinomial, there are three numbers.
I hope this helps :)
Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
tomato sauce in a pot. Next he adds the milk that is in the measuring cup. How
many milliliters of soup does he make?
A. 400 milliliters
B. 460 mill
C. 350 mill
D. 500 mill
Answer:
500 milliliters or ml
Step-by-step explanation:
First, we find the amount of milk is in the measuring cup which is 350 ml and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.
Hope it helped :)
The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Von mixes tomato sauce and milk to make soup.
Initially, the amount of tomato sauce added in the pot = 150 milliliters.
Then, milk is added that is in the measuring cup that is 350 milliliters.
So,
The total amount of soup made by him,
= 150 + 350
= 500 milliliters.
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