Answer:473
Step-by-step explanation:
Final answer:
To determine how many cans are needed to hold 2,367 tennis balls, with each can holding 5 balls, you divide the total number of tennis balls by 5 and round up to the nearest whole number, resulting in 474 cans.
Explanation:
The subject of the question is Mathematics, as it involves a division problem. The question entails calculating the number of cans needed to hold 2,367 tennis balls, given that each can hold 5 tennis balls. To determine the number of cans required, we divide the total number of tennis balls by the number of balls that can fit in each can.
To find the solution:
Divide 2,367 by 5, which equals 473.4.
Since you can't have a fraction of a can, you would need to round up because you will need part of another can to hold the remaining balls. So, rounding 473.4 up, you get 474 cans.
Therefore, the Tennis Teams of Atlanta need to purchase 474 cans to hold 2,367 tennis balls.
I need help solving these problems please!!
Solve.
{x−2y=04x−3y=15
A. (2, 1)
B. (0, 5)
C. (6, 3)
D. (4, 2)
A box measures 1/4ft. long, 1/6ft. wide, and 1/3ft. high. Find the volume of the
box in inches
Answer:
24 cubic inches
Step-by-step explanation:
1 ft = 12 inches
convert all dimensions to inches
1/4 ft = 1/4 * 12= 3 inches
1/6 ft = 1/6 * 12 = 2 inches
1/3 ft = 1/3 * 12 = 4 inches
Volume of a box = L*W*H
= 3 * 2 * 4
= 24 cubic inches
Therefore 1/72 ft will be 1/72 * 12
= 1/6 inches
The cost to produce x units of wire is C= 55x + 450, while the revenue is R= 80x. Find all intervals where the product will at least break even.
The product will break even when x is greater than or equal to 18 units, i.e., x ≥ 18, as revenue (R) exceeds or equals cost (C) at this production level.
To find the intervals where the product will at least break even, we need to determine the values of x for which the revenue (R) is equal to or greater than the cost (C), i.e., R ≥ C.
Given:
Cost function C(x) = 55x + 450
Revenue function R(x) = 80x
We can set up the inequality:
80x ≥ 55x + 450
To isolate x, we can subtract 55x from both sides:
80x - 55x ≥ 55x - 55x + 450
This simplifies to:
25x ≥ 450
Now, divide both sides by 25 to solve for x:
x ≥ 450 / 25
x ≥ 18
So, the product will break even when x is greater than or equal to 18. This means that for any production level of 18 units or more, the revenue will be equal to or greater than the cost, ensuring that the product is at least breaking even. Therefore, the interval where the product will at least break even is x ≥ 18.
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To break even, the revenue (R) must equal the cost (C). Setting the revenue function R = 80x equal to the cost function C = 55x + 450 and solving for x, we find that the product will break even when x >= 18 units, meaning the company will begin to make a profit at any production level greater than 18 units.
To find where the product will at least break even, we need to determine when the total revenue
(R) is greater than or equal to the total cost (C). The cost to produce
x units of wire is given by C = 55x + 450, and the revenue by R = 80x. To break even,
R must be equal to C:
80x = 55x + 450
Solving for x gives us:
80x - 55x = 450
25x = 450
x = 450 / 25
x = 18
Therefore, the product will break even at x = 18 units. For any number x greater than 18, R will be greater than C, which means profits are being made. The interval for breaking even is thus x >= 18.
Enter the value for x that makes the equation 1/2(4x-8)+3x=36 true
Answer:
the correct answer for x is 8
Step-by-step explanation:
since: 1/2 ((4) (8) - 8) + (3) (8) = 36
The correct value for x that makes the equation true is 8.
To solve the equation [tex]\( \frac{1}{2}(4x-8)+3x=36 \)[/tex], follow these steps:
1. Distribute the [tex]\( \frac{1}{2} \)[/tex] to both terms inside the parentheses:
[tex]\[ \frac{1}{2} \cdot 4x - \frac{1}{2} \cdot 8 + 3x = 36 \][/tex]
2. Simplify the equation by multiplying:
[tex]\[ 2x - 4 + 3x = 36 \][/tex]
3. Combine like terms:
[tex]\[ 5x - 4 = 36 \][/tex]
4. Add 4 to both sides of the equation to isolate the term with x:
[tex]\[ 5x = 36 + 4 \][/tex]
[tex]\[ 5x = 40 \][/tex]
5. Divide both sides by 5 to solve for x:
[tex]\[ x = \frac{40}{5} \][/tex]
[tex]\[ x = 8 \][/tex]
How do you convert decimal to percent like for example.( convert 1.37 to a percent) please show work thank you
answer: 137%
to convert from decimal to percent, you multiply the decimal by 100.
Answer: 137%
Step-by-step explanation:
100% is equal to 1. Therefore, 1.37 is equal to 137% if you move the decimal point correctly. Multiplying by 100 is also another way to do it.
What single transformation maps ∆ABC onto ∆A'B'C'?
A. rotation 90° clockwise about the origin
B. rotation 90° counterclockwise about the origin
C. reflection across the x-axis
D. reflection across the line y = x
Answer:
The correct option is B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
The correct option is B. rotation 90° counterclockwise about the origin.
None of the other transformations result in ∆A'B'C in the third quadrant.
Answer:
B. rotation 90° counterclockwise about the origin
Step-by-step explanation:
i need help PLEASE!!!!
Answer:
The answer is 11
Step-by-step explanation:
What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm
Question:
What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm
The image of the triangle is attached below:
Answer:
The value of x is 98mm
Explanation:
It is given that VT = 57, TK = 129.2, YK = 68 and VK = x
Now, we need to find the value of x.
We shall determine the value of x, using angle bisector theorem,
[tex]\frac{YK}{TK} =\frac{YV}{VT}[/tex]
Let us substitute the values, we get,
[tex]\frac{68}{129.2}=\frac{x-68}{57}[/tex]
Switch sides, we have,
[tex]\frac{x-68}{57}=\frac{68}{129.2}[/tex]
Multiply both sides by 57,
[tex]\frac{57(x-68)}{57}=\frac{68 *57}{129.2}[/tex]
Simplifying, we get,
[tex]x-68=30[/tex]
Adding both sides by 68, we have,
[tex]x=98[/tex]
Thus, the value of x is 98mm
2(-6+4z) answer to my problem
Answer:
The correct answer would be 8x - 12.
Step-by-step explanation:
2 ( -6 + 4z)
= (2) ( -6 + 4z)
= (2) ( -6) + (2) (4z)
= 12 + 8z
= 8z - 12
Hope this helps!
Answer:
Expanded answer: 8z - 12
OR
Factored answer: 4(2z - 3)
Step-by-step explanation:
Solve using the distributive property. This is when you multiply the number outside the brackets by each number inside the brackets.
2(-6 + 4z)
= (-6)(2) + (4z)(2) Multiply each number by 2
= -12 + 8z When you can, try not to start with a negative number.
= 8z - 12 This is the answer in expanded form
Refactored:
"8z" and "12" have a GCF (greatest common factor) of 4. Take out "4" from the expression to factor.
8z - 12
= 4( 8z/4 - 12/4 ) Divide each term by 4.
= 4(2z - 3) This expression is equivalent when you need it fully factored.
What is the measure of BC
Enter your answer in the box.
Answer:
Angle BDC is an inscribed angle.
The inscribed angle equals one half of the intercepted arc.
Therefore, the intercepted arc equals 130 degrees.
Step-by-step explanation:
The measure of BC should be 130 degrees.
Given information:The angle of d is 65 degrees:
Calculation of measure of BC:Since angle of D is 65
So, the BC should be doubled i.e. 130 degrees.
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The thomas family drinks 524.2 ounces of water each week. About how many ounces of water will they drink in 5 weeks?
Answer:
2621
Step-by-step explanation:
We know how much they drink in 1 week, now we need to know how many they drink in 5 weeks.
To do so, multiply how much they drink in 1 week by 5 to get the value for 5 weeks.
524.2*5=2621
please help me out I will give Brainlyeist to who ever answers right!!!!
2. Find the area of the triangle.
A. 362.24mm B. 20.55 mm C. 181.12 mm D. 41.1 mm
Multiply the base and height (28.3*12.8=362.24)
Divide by 2: 181.12
So the answer is C
Hope this helped
Find the 9th term in a geometric sequence whose common ration is 1/3 and first term is 6
Answer:
Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]
Step-by-step explanation:
Given first term(a) = 6
and common ratio = [tex]\frac{1}{3}[/tex]
[tex]T_n= ar^{n-1}[/tex]
[tex]\therefore T_9=ar^{9-1}[/tex]
[tex]\Leftrightarrow T_9=a r^8[/tex]
[tex]\Leftrightarrow T_9=6\times ( \frac{1}{3}) ^8[/tex]
[tex]\Leftrightarrow T_9=\frac{2}{2187}[/tex]
Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]
A skydiver jumped out of a plane and
descended 0.66 miles in 1.5 minutes.
What was the skydiver's average change
of altitude per minute?
Answer: [tex]0.44 mi/min[/tex]
Step-by-step explanation:
We are asked to find the "skydiver's average change of altitude per minute", this means we have to find the variation of the skydiver's distance in a given time. This is its velocity, which is given by:
[tex]V=\frac{\Delta d}{\Delta t}[/tex]
Where:
[tex]V[/tex] is the skydiver's velocity
[tex]\Delta d=0.66 mi[/tex] is the distance the skydiver has descended
[tex]\Delta t=1.5 min[/tex] is the time in which the skydiver has descended its distance
Solving:
[tex]V=\frac{0.66 mi}{1.5 min}[/tex]
[tex]V=0.44 mi/min[/tex] This is the skydiver's average change of altitude per minute
PLEASE HURRY.
Niki can drive her car 22 miles on each gallon. If niki drives m miles which expression the number of gallons used?
A:m-22
B:22m
C:22/m
D:m/22
Answer:
M divided by 22 = total number of gallons used for the trip (m/22)
Step-by-step explanation:
Let's identify what we know:
1) Niki's car can do 22 miles per gallon (mpg)
So, what formula would we use to find out how many gallons were used if Niki drove m (number of miles) miles?
Well, let's pretend that Niki drove 154 miles! How would we solve it? Let's create a formula:
154/22 = number of gallons used
so, 154 is m!
m/22 = number of gallons used.
D is the correct answer! :)
Answer:
D.
m/22
Step-by-step explanation:
Which shows the use of the associative property?
Answer:
The Second One or B. You were correct.
Step-by-step explanation:
The associative property is when the numbers of an equation stay the same, but the parentheses move.
please show work find m
Answer:
m∠CBD = 60 degrees
Step-by-step explanation:
2x + 14 + x + 7 = 90 The equations equal 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 from both sides
3x = 69 Divide by 3 on both sides
x = 23
Plug 23 in the equation
2(23) + 14 = 60
The graph of the quadratic function y = x2 is shown below. If this parabola is reflected about the x-axis, what is the new equation of the quadratic function?
The graph of the quadratic function y = x2 is shown below. If this parabola is reflected about the x-axis, what is the new equation of the quadratic function?
Select one:
A. y=−x2−1
B. y=10x2
C. y=−x2
D. y=−(x−1)2
Answer:
Option C. [tex]y=-x^2[/tex]
Step-by-step explanation:
we know that
We can reflect the graph of any function f(x) about the x-axis by graphing y=-f(x)
so
The rule of the reflection of a function f(x) across the x-axis is
(x,f(x)) ------> (x,-f(x))
In this problem we have
[tex]f(x)=x^{2}[/tex]
Applying the rule of the reflection across the x-axis
[tex](x,x^2) ----> (x,-x^2)[/tex]
therefore
The new equation of the quadratic function is
[tex]y=-x^2[/tex]
The events committee buys 100 flowers for a school dance. The flowers are a
combination of carnations and roses. Each carnation costs $0.75, and each rose
costs $2.75. The committee spends a total of $139, not including tax.
How many of each type of flower does the committee buy?
0 61 carnations: 40 roses
48 carnations: 24 roses
54 carnations: 32 roses
68 carnations: 32 roses
Answer:
D) 68 carnations & 32 roses
Step-by-step explanation:
First of all, we need to identify the parts of the problem that we already know.
1) The events committee bought a total of 100 flowers.
2) The events committee spent a total of $139 on the carnations and roses, combined.
3) One carnation costs $0.75
4) One rose costs $2.75
We can create a formula to find the price of the flowers:
(x times $0.75) + (y times $2.75)= $139
If we calculate it out, the only option that fits the equation is 68 carnations and 32 roses.
Find the value of x
A. 18
B. 27
C. 50
D. 40
Answer:
the sum interior angles of a triangleis equal to 180
so (x + 13) +(x +23) + 90 = 180
2x + 36 + 90 = 180
2x = 180 - 126
2x = 54
x = 27
5 female giraffes have a mean weight of x kg
7 male giraffes have a mean weight of y kg
Write down an expression, in terms of x and y, for the mean weight of all the giraffes.
Step-by-step explanation:
Weight of all female giraffes = 5x kg
Weight of all male giraffes = 7y kg
Mean weight of all giraffes
[tex] = \frac{5x + 7y}{5 + 7} \\ \\ = \frac{5x + 7y}{12} \: kg[/tex]
The mean weight of all the giraffes, in terms of x and y, is calculated by adding the total weights of both female and male giraffes and then dividing by the total number of giraffes. The expression for the mean weight is (5x + 7y) / 12.
To find the mean weight of all the giraffes in terms of x and y, we must first calculate the total weight of female and male giraffes separately and then combine these totals to find the overall mean.
For the 5 female giraffes: Total weight = 5 × x = 5x kg
For the 7 male giraffes: Total weight = 7 × y = 7y kg
Then, we add these together to get the combined total weight: Combined total weight = 5x + 7y kg
Since there are 5 + 7 = 12 giraffes in total, we then divide the combined weight by the number of giraffes to find the overall mean weight.
Overall mean weight = (5x + 7y) / 12
rked
Scon Given that f(x)= x2 - 18 and g(x) = 5x + 19. find (g- 1)(-6), if it exists.
Answer:
Step-by-step explanation:
Since g is a one-one function, its inverse exists.
Let (g^-1)(-6) = t
We have to find t
-5
(g^-1)(-6) = t inplies
-6 = g(t)
-6 = 5t + 19
5t = -25
t = -5
Which equation results from adding the equations in this system?
Negative 2 x + y = 8. 5 x minus y = negative 5.
7 x = 13
7 x = 3
3 x = 3
3 x = 13
Answer:
The correct option is second one i.e 7x = 3
Therefore the results from adding the equation in this system is
[tex]7x=3[/tex]
Step-by-step explanation:
Given:
Equations as
[tex]2x+y=8[/tex] .......................1
[tex]5x-y=-5[/tex] .......................2
To Find :
Result when adding equation 1 and 2 = ?
Solution
On adding equation 1 and 2 the "y" term will get cancel and the like terms will combine that is add (2x and 5x ) and ( 8 and - 5) as shown below
2x + y = 8
5x - y = - 5
-------------------------------------------
7x + 0 = 3
---------------------------------------------
Therefore the results from adding the equation in this system is
[tex]7x=3[/tex]
Answer:
It's 3x=3
Step-by-step explanation:
I did it in edg! But its correct
what is the mathematical name of this shape please tell me ASAP. ( I will give brainliest )
Answer:
its a triangle
Step-by-step explanation:
3 sides
Answer:
the shape is known as a triangle
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1.
Given the data presented in the bar graph, which sport represents 20% of the favorite sport for those surveyed?
Baseball
Tennis
Basketball
Soccer
Answer:
Baseball
Step-by-step explanation:
There are 30 people in total who voted in survey
9 Soccer
7 Basketball
5 Tennis
3 Hockey
6 Baseball
If 30 represents 100% of them then we divide 30 by 100 then multiply by 20
30 ÷ 100 × 20 = 6 is the number of people likes baseball as their favourite.
What is the solution to the system of equations? 3 x - 4 y = 16. 2 x + 3 y = 5.
Answer:
Step-by-step explanation:
Equation 1
3x - 4y = 16
multiplying equation by 3
it becomes
9x - 12y = 48 ------------(A)
equation 2
2x + 3y = 5
multiplying equation by 4
8x + 12y = 20 -------------(B)
Now comparing equation A & B
17x = 68
x = 4
putting the value of x in equation 2
2(4) + 3y = 5
8 + 3y = 5
3y = -3
y = -1
So, solution is (4 , -1)
Zeke bought 10 shares of a company’s stock at a price of $21.20 per share. He now sees that the price per share of his investment is $32. His broker informs him that the price of the shares may see a decline in the future. Zeke should ideally the assets because he stands to earn a profit of per share from the transaction.
Zeke can make a profit of $10.80 per share if he sells his stocks now. His broker expects a decline in the future, so selling now would be a good decision.
Explanation:Zeke's situation pertains to the world of finance and stock investment. He bought 10 shares of a company's stock at $21.20 per share and it's currently priced at $32 per share. By subtracting the buying price from the current price, we can calculate the profit per share which is $10.80.
So, if he sells the stocks now, he will make a profit of $10.80 per share. For 10 shares, that's a total profit of $108 (10 shares * $10.80 per share). If his broker expects a decline in the price, Zeke ideally should sell the shares now to profit before the prices go down.
Generally, the rate of return on a financial investment in a share of stock can be from dividends paid by the firm or as a capital gain achieved by selling the stock for more than you paid. In this case, Zeke's profit would be considered a capital gain.
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Kris is making cookies. He has 43 cups of sugar. He needs 23 cup of sugar to make one whole batch of cookies.
solve the system of equations
9x - 4y = -7
7x - 12y = 39
x?
y?
Answer:
x = -3
y = -5
(-3, -5)
Step-by-step explanation:
We can solve this system of equations by elimination. This is when you either add OR subtract the equations (depending on the situation) to eliminate one variable, allowing you to solve for the other. To do this, we need one variable with the same coefficient in BOTH equations.
9x - 4y = -7 X3=> 27x - 12y = -21 (New equation is still equivalent)
7x - 12y = 39
Both equations have negative "12y" in them. If you subtract - 12y from - 12y, you get 0, eliminating the variable. Subtract the two equations.
. 27x - 12y = -21 Subtract each term in the equation.
- 7x - 12y = 39 Keep equal signs aligned
. 20x - 0 = -60 'y' eliminated. -12y - (-12y) = 0
. 20x = -60 Isolate 'x'
. 20x/20 = -60/20 Divide both sides by 20
. x = -3 Solved for 'x'
Substitute 'x' for -3 in any equation.
9x - 4y = -7
9(-3) - 4y = -7 Substitute. Simplify multiplication.
-27 - 4y = -7 Isolate 'y' now
-27 + 27 - 4y = -7 + 27 Add 27 on both sides
-4y = 20 Left side cancelled out 27, right side simplified by adding.
-4y/-4 = 20/-4 Divide both sides by -4
y = -5 Solved for 'y'
Therefore the solution is when 'x' is -3 (x = -3) and when 'y' = -5 (y = -5).
You can also write the solution as an ordered pair, like coordinates, which are written (x, y). The solution would be (-3, -5).