Answer:
126.96
Step-by-step explanation:
Kurt company purchased $5000 of merchandise from Marilyn company with terms of 2/10 n/40. What amount will Kurt company pay to Marilyn company if Kurt company takes advantage of the purchase discount?
If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.
To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.
The total amount of merchandise purchased is $5000.
To calculate the discount amount, we multiply the total amount by the discount percentage:
Discount amount = 2% of $5000 = 0.02 * $5000 = $100
Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.
The amount Kurt company will pay to Marilyn company is:
Total amount - Discount amount = $5000 - $100 = $4900
Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.
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Jack and Jill each bought 100 pounds of cashews. Jack divided his cashews into 23 equal amounts and put them in paper bags. Jill divided her cashews into 18 equal amounts and put them in paper bags. To celebrate, each ate a bag of cashews. Now, Jack has 22/23 of his paper bags and Jill has 17/18 of her paper bags. Who has more pounds of cashews left?
Answer: Jack
Step-by-step explanation:
100÷2=50
50÷23=2.1739130435
50÷18=2.7777.....8
Simplify the algebraic expression below. n + n + n + n = __?
Answer:
Step-by-step explanation:
Lets start like this by adding 1 before every n to make it simple:
1n + 1n + 1n + 1n = 4n
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
use the distributive property to rewrite the expression 6(10+n)=
Answer:
60 + 6n
Step-by-step explanation:
Distribute 6 to both terms:
6 * 10 is 60
6 * n is 6n
Both total are 60 + 6n
Hey there!
6(10 + n)
= 6(10 + 1n)
DISTRIBUTE 6 WITHIN the PARENTHESES
= 6(10) + 6(1n)
= 60 + 6n
= 6n + 60
Therefore, your answer is: 6n + 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLSSS HELPPP REWARD BRAINLIEST AND STARSSS
Answer:
It will take 3.5s
Step-by-step explanation:
a parrallegram with an equal base and height and an area greater than 64 square meters
A parallelogram with equal base and height is called a rhombus. A rhombus is a parallelogram with all sides equal in length, but not necessarily at right angles. So, if a rhombus has an area greater than 64 square meters, we can find its minimum length by calculating the length of one of its sides.
A parallelogram with equal base and height is called a rhombus. A rhombus is a parallelogram with all sides equal in length, but not necessarily at right angles. So, if a rhombus has an area greater than 64 square meters, we can find its minimum length by calculating the length of one of its sides: Area = base * height > 64 square meters
Since the base and height are equal, we can write: Area = base^2 > 64 square meters
Take the square root of both sides to get the minimum length of the base: base > sqrt(64) = 8 meters
So, any rhombus with a base greater than 8 meters and height equal to its base will have an area greater than 64 square meters. The height of the rhombus will also be greater than 8 meters since it has equal sides.In conclusion, a rhombus with a base greater than 8 meters and height equal to its base will have an area greater than 64 square meters. This is because the area of a rhombus is given by the product of its base and height, and any rhombus with a base greater than 8 meters will have an area greater than 64 square meters.
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A rocket rises at 5 ft/s between 0 and 10 seconds. Afterwards it rises at 15 ft/s for another 15 seconds. Use one loop to calculate the rockets height at the end of the 25 seconds. Use h as the variable for height.
The height of the rocket at the end of the 25 seconds is 275 ft.
We have given that,
a rocket rises at 5 ft/s between 0 and 10 seconds,
therefore
V₁ = 5 ft/s
T₁ = 10 seconds
Height in first 10 seconds = ?
we know the formula to find the height,
i.e Height = velocity × time
⇒ H₁ = V₁ × T₁
= 5 × 10
H₁ = 50 ft
Therefore height of the rocket in the first 10 seconds is 50 ft.
Now it given that, rocket rises at 25 ft/s for another 15 seconds.
i.e V₂ = 15 ft/s
T₂ = 15 seconds
H₂ = ?
H₂ = V₂ × T₂
= 15 × 15
H₂ = 225 ft
Therefore height of the rocket in next 15 seconds is 225 ft.
Now we will find the height of the rocket at the end of the 25 seconds.
i.e H = H₁ + H₂
= 50 + 225
H = 275 ft
Hence the height of the rocket at the end of 25 seconds is 275 ft.
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James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 20% more
than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?
Answer:
Step-by-step explanation:
Don't be too quick to answer 15% of some number. It may be right, but it is likely not.
James makes 9.00 dollars an hour
Priya makes 20% more than James. Stop. Figure that out.
9.00 * 1 + 25/100 * 9 = 9.00 + 2.25 = 11.25
Now, you can figure out 5% less.
Siobhan = 11,25 - 5/100 * 11.25
Siobhan = 11.25 - 0.05 * 11.25
Siobhan = 11.25 - 0.5625
Siobhan = 10.6875 = 10.69
There is no other way that I know of to go directly to Siobhan's wage other than doing it the long way -- at least for the level of math you are taking.
9 * (1.2 - 0.05) might work.
9 * (1.15)
= 10.35 which is close, but not correct.
Moral: do the math. Don't accept a guess as an answer.
Which of the following expressions is equivalent to (4m²-8m+12) - (5m³-m-
-9)
m² + 7m-21
-m²-9m+3
m²-9m-3
-m²-7m+21
16
Expressions is equivalent to -m²-7m+21.
What expressions work similarly?Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
When reduced to their most basic form, two or more ratios are said to be similar if their values are the same. Equivalent ratios include 1:2, 2:4, and 4:8. In their simplest form, all three ratios have the same value of 1:2.
Since both expressions' values are constant for all values of x, the equivalent expressions 3(x + 2) and 3x + 6 are also identical expressions. 3x + 6 = 3 × 4 + 6 = 18.
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Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas
Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
Given the triangle below, what is RS?
The measure of RS to the nearest hundredth is 23.09 m
SOH CAH TOA identityFrom the given figure, we have the following parameters
Adjacent to <R = RS
hypotenuse = 20cm
Using the theorem;
cos theta = opp/hyp
cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30
RS =23.094 m
Hence the measure of RS to the nearest hundredth is 23.09 m
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this is my question! the measure of the first angle of a triangle is 27 degrees. the measure of the second angle is 37 degrees. what is the measure, in degrees of the third angle?
To find the measure of the third angle, we have to use the interior angles theorem, which states that all three angles must sum 180°.
\(\begin{gathered} 27+37+\alpha=180 \\ \end{gathered}\)Let's solve
\(\begin{gathered} 64+\alpha=180 \\ \alpha=180-64=116 \end{gathered}\)Therefore, the third angle measures 116°.I need help with this question please. This is non graded.
Answer: A
Given:
\((4x^2+8x)-(x^2-10x)\)First, distribute the negative sign:
\(\begin{gathered} (4x^{2}+8x)-(x^{2}-10x) \\ \Rightarrow(4x^2+8x)-x^2+10x \\ \Rightarrow4x^2+8x-x^2+10x \end{gathered}\)Then, combine like terms:
\(\begin{gathered} \begin{equation*} 4x^2+8x-x^2+10x \end{equation*} \\ \Rightarrow3x^2+18x \end{gathered}\)Then factor out 3x:
\(\begin{gathered} \begin{equation*} 3x^2+18x \end{equation*} \\ \Rightarrow3x(x+6) \end{gathered}\)With this, we know that:
\((4x^2+8x)-(x^2-10x)=3x(x+6)\)The answer would then be A.
$56,000; Allowance for Uncollectible Accounts = $1,300 (credit). Ascension estimates uncollectible accounts based on an aging of accounts receivable as shown below.
Ascension Hospital has the following balances on December 31, 2024, before any adjustment: Accounts Receivable = $56,000; Allowance for Uncollectible Accounts = $1,300 (credit). Ascension estimates uncollectible accounts based on an aging of accounts receivable as shown below.
Age Group
Amount Receivable
Estimated Percent Uncollectible
Not yet due
$36,000
20%
0 to 30 days past due
9,600
25%
31 to 90 days past due
6,600
40%
More than 90 days past due
3,800
80%
Total
$56,000
Required:
1. Estimate the amount of uncollectible receivables.
2. Record the adjusting entry for uncollectible accounts on December 31, 2024.
3. Calculate net accounts receivable reported in the balance sheet.
1. Estimate the amount of uncollectible receivables.
Ascension Hospital estimates their uncollectible receivables based on the age of their accounts receivable. The estimated percentages are as follows: Not yet due: 20%, 0 to 30 days past due: 25%, 31 to 90 days past due: 40%, and more than 90 days past due: 80%.
Calculating the amount of uncollectible receivables:
Not yet due: $36,000 x 20% = $7,200
0 to 30 days past due: $9,600 x 25% = $2,400
31 to 90 days past due: $6,600 x 40% = $2,640
More than 90 days past due: $3,800 x 80% = $3,040
Total uncollectible receivables: $7,200 + $2,400 + $2,640 + $3,040 = $15,280
2. Record the adjusting entry for uncollectible accounts on December 31, 2024.
The adjusting entry for uncollectible accounts on December 31, 2024 is as follows:
Debit: Allowance for Uncollectible Accounts $15,280
Credit: Accounts Receivable $15,280
3. Calculate net accounts receivable reported in the balance sheet.
The net accounts receivable reported in the balance sheet can be calculated as follows:
Accounts Receivable $56,000
Less: Allowance for Uncollectible Accounts ($1,300)
Net Accounts Receivable $54,700
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The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
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PLS ANSWER U CAN BE BRAINLIEST! Are the triangles below similar?
a
Yes, because they are both right triangles.
b
Yes, because the corresponding angles are congruent.
c
No, because the sides are not congruent.
d
No, because they are not the same size.
Answer: c or a
Step-by-step explanation:
Answer: A is right
Step-by-step explanation: all right triangles are congruent sometimes they just need to be dilated
Below the functions h(x) and g(x) are graphed. at which values of x os it true that h(x)> g(x)
Answer:
Step-by-step explanation:
How old is Aiden?
*
Hint: Two-digit number
The first four terms of a sequence are 5,-3,-11,-19. Which of the following is an equation for the nth term of the sequence?
an=8n−3A sub n is equal to 8 n minus 3
an=n−4A sub n is equal to n minus 4
an=−8n+13A sub n is equal to negative 8 n plus 13
an=−8n−8
Answer:
Step-by-step explanation:
-3-5=-8
-11-(-3)=-11+3=-8
-19-(-11)=-19+11=-8
it is an A.P. and c.d.=-8
so nth term is
an=a1+(n-1)d
an=5-(n-1)(-8)
an=5+8n-8
an=8n-3
(5, -12); m
2
5
How do I write an equation in point-slope form of the line that passes thru the given point & has the given slope.
An athletic field is a rectangle 100 yards by 40 yards,
with a semicircle at each of the short sides. A running
track 10 yards wide surrounds the field. Find the
perimeter of the outside of the running track to the
nearest tenth of a yard. Find the area of the running
track to the nearest tenth of a yard.
The area of the running track to the nearest tenth of a yard is 1456 yards
How to calculate the area?The length of the field is 100 yards with a width of 40 yards.
Notice that the two semicircles on both ends form a circle with diameter 40 yards. Since it's diameter is 40, then it's radius is 20. We can get the length of the rectangle by subtracting two 20 from 100 or subtracting it's diameter to the entire length 100:
= 100-20-20
=100-40
=60
Since we formed a rectangle with two semicircles on both ends, we have the length of the rectangle 60 yards and the width 40 yards.
We first get the circumference of the circle.
C=πd
=(3.14)(40)=125.6
Then we get the measure of the two lengths of the rectangle which is 60
60+60=120
We multiply 145.6 by 10 and we get 1456
Therefore, the area of the running track to the nearest tenth of a yard is 1456 yards.
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Answer:
3570 square yards.
Step-by-step explanation:
A= ℓh-ℓh+πr square-πr square
A=60 * 100 - 40 * 100 + π(30) square - π(20) square
A= 6000-4000+900π-400π
A=2000+500π
A=2000+500*3.14
A=3570 square yards.
14. Given the expressions:
f(x) = 6x
Find g(x) + j(x).
g(x) = 2x² - 1
4
h(x) = x+1
j(x) = 2x³ + x² + 2x - 5
The value of g(x) + j(x) is 2x³ + 3x² + 2x -6.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's basic components are a number or variable, a math operator, and another number or variable. An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. 2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2, which denotes 2 times plus x, is the coefficient of x in the formula 2x + 3.
Given,
Expression
g(x) = 2x² - 1
j(x) = 2x³ + x² + 2x - 5
g(x) + j(x).
Equating,
2x² - 1 + 2x³ + x² + 2x - 5
2x³ + 3x² + 2x -6
The value of g(x) + j(x) is 2x³ + 3x² + 2x -6.
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PACKAGING A video game system is packaged in a box that is in the shape of a cube. The length of the packaging box is 4x^2 y^5 . What is the volume of the packaging box in terms of x and y?
Answer: 64x^6y^15
Step-by-step explanation:
If the packaging box is in the shape of a cube, then all its sides are equal in length. Let's call the length of each side "s".
We know that the length of the packaging box is 4x^2 y^5, so:
s = 4x^2 y^5
To find the volume of the packaging box, we need to calculate s^3 (since the box is a cube).
s^3 = (4x^2 y^5)^3
s^3 = 4^3 (x^2)^3 (y^5)^3
s^3 = 64x^6 y^15
Therefore, the volume of the packaging box in terms of x and y is 64x^6 y^15.
Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball 25 minutes more than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball every day? explain your reasoning. (2 points) (10 points)
The linear equations that can be used to show the relationship are:
x + y = 95 minutes
x - y = 25 minutes
The minutes spent playing volleyball is 60 minutes.
Eric could have spent 35 minutes playing basketball. This is because the difference between 95 and 60 minutes is 35 minutes.
What are the minutes spent playing volleyball and basketball?x + y = 95 minutes equation 1
x - 25 = y equation 2
Substitute for y in equation 1
x + x - 25 = 95
2x = 95 + 25
2x = 120
x = 60 minutes
Time spent playing basketball = 95 - 60 = 35 minutes
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Please Help!!
The area of a sector fo a circle with radius r. has an arc measure m degrees given by the equation A= m/360pir^2. The area of a sector is 4 square meters and the arc measures 45 degrees. Find the radius of the sector to the nearest meter. Use 3.14 for pi.
The radius of the sector, considering the angle measure and the area of the circle, is given as follows:
3 meters.
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.
The entire circle has an angle measure of 360º, hence for an angle measure of 45º, the equation is given as follows:
A = 0.125πr²
(as 45/360 = 0.125).
The area is of 4 m², hence the radius is obtained as follows:
4 = 0.125πr²
r = sqrt(4/(0.125π))
r = 3 meters.
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A number is called "bright" if it is 34 times larger than the sum of its digits. How many "bright" three-digit numbers are there?
A : 0
B : 1
C : 2
D : 3
E : 4
Step-by-step explanation:
Let the number be \(\overline{abc}=100a+10b+c\).
\(100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0\)
Taking the equation mod \(11\) yields \(-8b \equiv \pmod{11}\), meaning \(b=0\).
So, \(22a-11c=0 \implies c=2a\).
So, the only possibilites are \((a,c)=(1,2), (2,4),(3,6), (4,8)\).
Therefore, there are \(4\) such numbers.
-7x+6y=34 7x+4y=-24 helppp
Answer:
x=–4, y=1
Step-by-step explanation:
adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1
plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4
we can check by plugging both x and y into one of the original equations:
-7(-4)+6(1)=34
28+6=34
34=34✓
Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix.
1. how many cups of water should he use with 6 scoops of fruit mix?
2. Rate needed?
3. Unit rate?
4. Interpretation of unit rate?
For per unit scoops of powdered 2 cups of Water is Needed.
What is the average rate of change?It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Given, Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix.
We have to find how many cups of water should he use with 6 scoops of fruit mix
Let "n" be the number of cups required for 6 scoops of fruit mix
3 cups of water ⇒ 1.5 scoops of fruit mix.
Then, n cups of water ⇒ 6 scoops of fruit mi
So, by cross multiplication,
6 * 3 = n *1.5
n = 12
Ryan has to use 12 cups of water for 6 scoops.
thus,
For per unit scoops of powdered 2 cups of Water is Needed.
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Find the area of a triangle ABC when m
Answer: (
1
,
1
)
,
(
2
,
2
)
,
(
3
,
0
)
(
0
,
5
)
,
(
3
,
4
)
,
(
2
,
0
)
(
2
,
3
)
,
(
4
,
5
)
,
(
−
3
,
3
)
Step-by-step explanation: