Cloey has a shop that sells video games. On Friday,Her shop sells 3,878 video games. On Saturday,she sells 8,999video games. On Sunday,she sells____ video games. Use the total of video games from Friday and Saturday to solve the question.
Answer:
6,000 Video Games
Step-by-step explanation:
To find out how many video games Cloey sold on Sunday, we need to add the number of video games she sold on Friday and Saturday and then subtract that total from the total number of video games she sold over the three days:
Total number of video games sold on Friday and Saturday = 3,878 + 8,999 = 12,877
Total number of video games sold over the three days = (number sold on Friday) + (number sold on Saturday) + (number sold on Sunday)
We know that the total number of video games sold over the three days is the sum of the number sold on Friday and Saturday plus the number sold on Sunday. We can rearrange this equation to solve for the number sold on Sunday:
Number sold on Sunday = Total number sold over three days - Number sold on Friday and Saturday
Substituting in the values we know, we get:
Number sold on Sunday = (number sold on Friday) + (number sold on Saturday) + (number sold on Sunday) - (number sold on Friday) - (number sold on Saturday)
Number sold on Sunday = Total number sold over three days - Number sold on Friday and Saturday
Number sold on Sunday = (3,878 + 8,999 + X) - 12,877
Number sold on Sunday = X - 0
Simplifying this expression, we get:
Number sold on Sunday = 6,000
Therefore, Cloey sold 6,000 video games on Sunday.
Lee and Marisol are conducting a science experiment to identify different kinds of macromolecules in food. They prepare the following table to help them remember the chemical reactions that indicate the presence of each type of macromolecule they are studying.
Answer:
Step-by-step explanation:
An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%
Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.
We can use the following formula to calculate ROI:
ROI = (gain from investment - cost of investment) / cost of investment
where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.
Using the values given in the question, we can calculate the ROI as:
ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000
ROI = 0.16 or 16%
Therefore, the return on the investment is 16%.
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round to the nearest whole number !
round 53/6 to the nearest whole number
round 203/10 to the nearest whole number
round 73/5 to the nearest whole number
53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively
How to round numbers to the nearest whole number?Approximation is the process of using rounded values when presenting numerical data and making rough calculations.
The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.
The numbers can be rounded to the nearest whole number as follows:
53/6 = 8.83 = 9 (round up)
203/10 = 20.3 = 20 (round down)
73/5 = 14.6 = 15 (round up)
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Help me with this geometry
Answer:
x = 11.2
Step-by-step explanation:
Since, ΔPQR ~ ΔVST,
By the property of similar triangles, corresponding sides of these triangle will be proportional.
\(\frac{PQ}{VS}=\frac{QR}{ST}\) ---------(1)
Since, scale factor = \(\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}\)
\(\frac{2}{5}\) = \(\frac{PQ}{VS}\)
Therefore, from equation (1)
\(\frac{2}{5}=\frac{x}{28}\)
x = \(\frac{28\times 2}{5}\)
x = 11.2
4✓6 × 3✓6
multiply and simplify
show work
Answer:
3
√
2
Explanation:
First put change the words into an equation:
√
3
×
√
6
Now you can multiply them together as you would normally multiply:
√
3
×
√
6
=
√
18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
/ \
6
3
/ \
2
3
As you can see, we have a square:
3
×
3
=
9
So take
√
9
out of
√
18
. You should have:
√
9
√
2
But since
√
9
=
3
we can simplify further to make:
√
9
√
2
→
3
√
2
Step-by-step explanation:
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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HELP ASAP PLEASE
Given x^2=81, select all possible values of x.
A. -9
B. -3
C. 0
D. 3
E. 9
Answer:
A and E
Step-by-step explanation:
x² = 81
~Take the square root of both sides
x = ±9
Best of Luck!
Answer:
The answer is a and e
Step-by-step explanation:
b-3a/9 = a/3
No links please
Thanks
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Fill in the banks if you had this question before!!
An equation for the total cars and trucks for dealership A is: x + y = 164.
An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.
The number of cars that dealership A sold is: 98 cars.
The number of trucks that dealership B sold is: 66 trucks.
How to write a system of equations to model this situation?In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of cars sold.Let the variable y represent the number of trucks sold.Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;
x + y = 164.
Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;
2x + 0.5y = 229.
By solving the systems of linear equations simultaneously, we have:
2x + 0.5(164 - x) = 229
1.5x + 82 = 229
x = 98 cars.
For the y-value, we have;
2(98) + 0.5y = 229
0.5y = 229 - 196
y = 33/0.5
y = 66 trucks.
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What is the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is D
Answer:
The expression for the required minimum sample size is \(n=[\frac{1.645\times\sigma }{D}]^{2}\).
Step-by-step explanation:
The (1 - α) % confidence interval for population mean is:
\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
The margin of error for this interval is:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
Confidence level = 90%
α = 10%
Compute the critical value of z for α = 10% as follows:
z = 1.645
*Use a z-table.
Compute the sample size required as follows:
\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)
\(n=[\frac{z_{\alpha/2}\times\sigma }{MOE}]^{2}\)
\(n=[\frac{1.645\times\sigma }{D}]^{2}\)
Thus, the expression for the required minimum sample size is \(n=[\frac{1.645\times\sigma }{D}]^{2}\).
John is x years old, Ahmad is 3 years older than John. The total of their age is 63 years. Form and equation and work out the age of Ahmad.
Answer:
x = john
x + 3 = ahmad
x + (x + 3) = 63
2x + 3 = 63
2x = 60
x = 30
john is 30 so ahmad is 33
Megan expects to save an average of 5 dollars per
week from her babysitting earnings. The relationship
between time and the amount of money she saves is
shown on the graph. Which other ordered pairs would
fall on this line? Select all that apply.
A. (0.5, 2.5)
B. (3, 18)
C. (0,0)
D. (4.5, 30)
Answer:
Step-by-step explanation:
Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph
Step-by-step explanation:
Megan expects to save an average of 5 dollars per week from her babysitting earnings.
=> Saving Per week = 5 $
Saving in 0.5 Week = 0.5 * 5 = 2.5 $
hence ordered pair (0.5, 2.5) will fall on the line of graph
Saving in 3 Week = 3 * 5 = 15 $
Hence (3, 18) will not fall on line
Saving in 0 Week = 0.5 * 0 = 0 $
hence ordered pair (0, 0) will fall on the line of graph
Saving in 4.5 Week = 4.5 * 5 = 22.5 $
Hence (4.5, 30) will not fall on line
Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
Megan expects to save an average of 5 dollars per week from her babysitting earnings.
=> Saving Per week = 5 $
Saving in 0.5 Week = 0.5 * 5 = 2.5 $
hence ordered pair (0.5, 2.5) will fall on the line of graph
Saving in 3 Week = 3 * 5 = 15 $
Hence (3, 18) will not fall on line
Saving in 0 Week = 0.5 * 0 = 0 $
hence ordered pair (0, 0) will fall on the line of graph
Saving in 4.5 Week = 4.5 * 5 = 22.5 $
Hence (4.5, 30) will not fall on line
Hence, Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph.
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I don’t understand this it says to find the area of each figure. Round to the nearest hundredth where necessary. Help!
ANSWER:
216 square centimeters.
STEP-BY-STEP EXPLANATION:
Given:
Height = 16cm
base = 27cm
The area of the triangle is calculated using the following formula:
\(\begin{gathered} A=\frac{b\cdot h}{2} \\ \text{ We replacing in this case:} \\ A=\frac{27\cdot16}{2} \\ A=216cm^2 \end{gathered}\)The area of the triangle is 216 square centimeters.
What is the product of the rational expressions below?
6-X 6+** 2-X Zt
The value of the product of the rational expressions is,
⇒ (4x - 32) (x² - 36)
We have to given that;
The rational expressions is,
⇒ 4x/(x+6) times (x-8) / (x-6)
Now, We can multiply as;
⇒ 4x/(x+6) times (x-8) / (x-6)
⇒ 4x/(x+6) × (x-8) / (x-6)
⇒ 4 (x - 8) / (x + 6) (x - 6)
⇒ (4x -32) / (x² - 6²)
⇒ (4x - 32) (x² - 36)
Thus, The value of the product of the rational expressions is,
⇒ (4x - 32) (x² - 36)
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3(3 - 4n) + 6n < -2n + 5
Answer:
1 < n
Step-by-step explanation:
3(3 - 4n) + 6n < -2n + 5
9 - 12n + 6n < -2n + 5
9 - 6n < -2n + 5
9 < 4n + 5
4 < 4n
1 < n
I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.
Luke was asked to find the median of the following numbers:
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 + 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19.
What error did Luke make?
He forgot to put the numbers in order first.
He crossed off the low and high pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make an error.
The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.
How to find the median of a data?The median is the middle number of a distribution when arrange in ascending or descending order.
7, 11, 12,16, 22, 24, 30
The number has been arrange from the smallest to the largest.
Therefore, the median can be calculated as follows:
median = 16
Therefore, Luke forgot to put the numbers in order first.
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Answer: (C)
100% Correct Answer! Pls, give me brainliest. Thank You!
Which type of function best models the data in the
table?
Sound Waves
Wavelength, *
© linear
exponential
o quadratic
inverse variation
Frequenc
(waves
680
0.5
1
340
227
15
DONE
2
170
25
136
Answer:
inverse variation
Step-by-step explanation:
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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Two similar solids have a scale factor of 5:3.
What is the ratio of their volumes expressed in lowest terms?
The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
How to Determine The Ratio of the Volume of Similar Solids?If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:
Volume of solid A/Volume of solid B = a³/b³
or
Volume of solid A : Volume of solid B = a³ : b³
Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:
5³ : 3³
125 : 27
Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.
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What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...
An item costs n dollars. If the price of the item increases by 15%, the new price can be represented by the expression n + 0.15n. Which expression can also represent the new price?
a. 0.15n
b. n + 1.15
c. 15n
d. None
e. 1.15n
Answer:
d. none
Step-by-step explanation:
\((3.6 \times 10 {6) - (5.2 \times 10 {5}^{?} }^{?} \)
Show all calculations please
The answer to the equation 3.6 x 106 - 5.2 x 105 is 30800000.
What is number?Number is a mathematical concept used to count, measure and label. Numbers are used in almost every aspect of life such as in science, engineering, economics, finance, and mathematics. Numbers are also used to represent objects, people, animals, and ideas in the form of symbols. For example, we use numbers to represent time, money, and distance. Numbers are also used to order and classify information, to measure and compare data, and to develop models to explain phenomena.
3.6×106 - 5.2×105
= (3.6 x 10⁶) - (5.2 x 10⁵)
= (3600000) - (520000)
= 30800000
The answer to the equation 3.6 x 106 - 5.2 x 105 is 30800000. This is because when subtracting two numbers written in scientific notation, you must first convert both numbers to their base 10 forms. In this case, the numbers are 3.6 x 106 and 5.2 x 105. When converted to base 10, 3.6 x 106 is equal to 3600000 and 5.2 x 105 is equal to 520000. When these two numbers are subtracted, the result is 30800000.
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A pair of designer sneakers was purchased for $140. Their Price has increased by 17% . What is the new price?
Answer:
$163.80
Step-by-step explanation:
100% --- $140
100% + 17% --- \(\frac{100+17}{100}\) × $140 = $163.80
Answer:
$163.8
Step-by-step explanation:
initial price(P) = $140
increased rate(R%)= 17%
New price(N)= ?
Then,
N =P + P × R%
= 140 + 140 × 17/100
= 163.8
1. A ______________ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performed on it.
a. constant
b. categorical
c. quantitative
d. none of the above
Answer:
a. constant
Step-by-step explanation:
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
Help pleaseee!! I will give brainlist
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
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Take a two digit number represented by ab, such that neither a nor b is zero and a is not equal to b. Reverse the digits and add the result to the original number. Divide this sum by a+b. What is the quotient?
Answer:
11
Step-by-step explanation:
We can have any. two numbers that represent a and b
It CANT BE THIS FOLLOWING
A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10
A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)
Let use 5 and 6.
56
Reverse the digits
65
add 56 to 65
121
Divide this by 6+5=11
The answer is 11 This vary for all answers let use 1,7
17 then reverse
71 then add 71 and 17
88 then divide by 1+7=8
11
The quotient is 11.
Step-by-step explanation:
Given:
A two-digit number,'ab'.
Where a and b are non-zero and are unequal to each other.
To find:
Quotient after dividing the sum of the given digit and its reverse with(a+b).
Solution:
The given digit = \(ab = (10a+b)\)
\(Where:\\a \neq b, a\neq 0,b\neq 0\)
On reversing the given digit =\(ba = (10b +a)\)
Now adding the given digit and its reverse:
\(= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)\)
Diving the sum with (a+b):
\(=\frac{11(a+b)}{(a+b)}=11\)
The quotient is 11.
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In Ellen's math class, there are 2 boys for every 3 girls. If there are 21 girls in the class, how many boys are in the class?
Answer: 14 boys
Step-by-step explanation:
ratio 2:3
7 divided by 21 = 3, so 7 times 2 equals 14
Answer:
14
Step-by-step explanation:
Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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