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Related Questions
A company buys paper clips at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $3.50 per box for any additional boxes. How many boxes of paper clips can be bought for $221.00?
Answers
Answer:
46 boxes
Step-by-step explanation:
First 10 boxes can be bought for [tex]7.5*10=75[/tex]Next 10 boxes can be bought for [tex]5.5*10=55[/tex]So for a total of 20 boxes, the cost is [tex]75+55=130[/tex]
We have remaining [tex]221-130=91[/tex]
Each additional box costs 3.5, so for 91 dollars, we can get:
[tex]\frac{91}{3.5}=26[/tex] boxes
So, total [tex]10+10+26=46[/tex] boxes can be bought for $221.00
Given the budget of $221 and the stipulated price rates, the company can buy a total of 46 boxes of paper clips.
Explanation:To solve this problem, we first need to calculate how many boxes the company can buy with $221 considering the different rates. The first 10 boxes cost $7.50 each, so ten boxes would cost $75. The next 10 boxes cost $5.50 each, so these together would cost $55. This means that 20 boxes cost $130. Subtract this amount from the total budget, which leaves $91.
Since each additional box over 20 boxes costs $3.50, we divide our remaining fund, $91, by $3.50 to determine how many more boxes can be purchased. This comes out to roughly 26 boxes.
So, adding up all the boxes, the company can buy 10 boxes (at $7.50) + 10 boxes (at $5.50) + 26 boxes (at $3.50) = 46 boxes with $221.
Learn more about Quantity Calculation here:https://brainly.com/question/33642433
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Given two events A and B of a sample set where P[A] = .20 P[not B] = .40 P[B|A] = .25 What is P[A or B]?
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Answer:
Given two events A and B of a sample set :-
P[A] = 0.20
P[not B]=0.40
[tex]P[B/A]=0.25[/tex]
To find P[A or B]:
[tex]P[A or B] = P[A] + P[B] - P[A \cap B][/tex] ......[1]
Calculate for [tex]P[B][/tex] and [tex]P[A \cap B][/tex]
P[B] = 1- P[not B]
Substitute the value P[not B] we get;
P[B] = 1-0.40 = 0.60
[tex]P[A \cap B] = P[B/A] \cdot P[A][/tex]
Substitute the given values we get;
[tex]P[A \cap B] = 0.25 \cdot 0.20 = 0.05[/tex]
Then;
[tex]P[A or B] = 0.20+0.60-0.05 = 0.80-0.05 =0.75[/tex]
Therefore, the value of P[A or B] is, 0.75.
The probability of P(A∪B) is 0.35.
ProbabilityProbability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
P(A) = 0.20
P(B) = 0.40
P(A∩B) = 0.25
To findThe probability of P(A∪B).
How to find the probability of P(A∪B)?We know the formula
P(A∪B) = P(A) + P(B) - (A∩B)
P(A∪B) = 0.20 + 0.40 - 0.25
P(A∪B) = 0.60 - 0.25
P(A∪B) = 0.35
Thus the probability of P(A∪B) is 0.35.
More about the probability link is given below.
https://brainly.com/question/795909
Geometry problem below
Answers
Answer:
(1,0) (-2,-1)
Step-by-step explanation:
We need to find the midpoint of Segment BD
(-3,1) and (-1,-3)
the midpoint is (x1+x2)/2, (y1+y2)/2
(-3+-1)/2 , (1+-3)/2
-4/2 , -2/2
-2, -1
We need to find the midpoint of Segment cD
(3,3) and (-1,-3)
the midpoint is (x1+x2)/2, (y1+y2)/2
(3+-1)/2 , (3+-3)/2
2/2 , 0/2
1, 0
THE RECIPE REQUIRES 10 CUPS OF FLOUR AND 2 TEASPOON OF SLAT ANTHONY WANTS TO MAKE THE RECIPE USING 1 CUP OF FLOUR TO MAINTAIN THE RATIO HOW MUCH SALT IS REQUIRED WHEN USING 1 CUP OF FLOUR IS USED
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Give two different methods you could use to put the fractions 1/2, 3/4, 3/8, 5/8, 5/16, 7/16, 9/16, and 11/16 in order
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Wpisz odpowiednie liczby: 1 cm2=...........mm2 9 cm2=...........mm2 5,2 cm2=............mm2 1 dm2 =...........cm2 17dm2=........... cm2 4,3 dm2=............ cm2 1m2=...........cm2 7m2=...........cm2 2,5m2=...........cm2 1km2=............m2 50km2=...........m2 8,5km2............m2
Answers
Answer:
1 cm^2 = 100 mm^2
9 cm^2 = 900 mm^2
5.2 cm^2 = 520 mm^2
1 dm^2 = 100 cm^2
17 dm^2 = 1700 cm^2
4.3 dm^2 = 430 cm^2
1 m^2 = 10000 cm^2
7 m^2 = 70000 cm^2
2.5 m^2 = 25000 cm^2
1 km^2 = 1000000 m^2
50 km^2 = 50000000 m^2
8.5 km^2 = 8500000 m^2
Step-by-step explanation:
1 cm = 10 mm
1 [tex]cm^{2}[/tex] = 10×10 [tex]mm^{2}[/tex] = 100 [tex]mm^{2}[/tex]
9 [tex]cm^{2}[/tex] = 9×100 [tex]mm^{2}[/tex] = 900 [tex]mm^{2}[/tex]
5.2 [tex]cm^{2}[/tex] = 5.20×100 [tex]mm^{2}[/tex] = 520 [tex]mm^{2}[/tex]
1 dm = 10 cm
1 [tex]dm^{2}[/tex] = 10×10 [tex]cm^{2}[/tex] = 100 [tex]cm^{2}[/tex]
17 [tex]dm^{2}[/tex] = 17× 100 [tex]cm^{2}[/tex] = 1700 [tex]cm^{2}[/tex]
4.3 [tex]dm^{2}[/tex] = 4.3 × 100 [tex]cm^{2}[/tex] = 430 [tex]cm^{2}[/tex]
1 m = 100 cm
1 [tex]m^{2}[/tex] = 100×100 [tex]cm^{2}[/tex] = 10000 [tex]cm^{2}[/tex]
7 [tex]m^{2}[/tex] = 7×10000 [tex]cm^{2}[/tex] = 70000 [tex]cm^{2}[/tex]
2.5 [tex]m^{2}[/tex] = 2.5×10000 [tex]cm^{2}[/tex] = 25000 [tex]cm^{2}[/tex]
1 km = 1000 m
1 [tex]km^{2}[/tex] = 1000×1000 [tex]m^{2}[/tex] = 1000000 [tex]m^{2}[/tex]
50 [tex]km^{2}[/tex] = 50×1000000 [tex]m^{2}[/tex] = 50000000 [tex]m^{2}[/tex]
8.5 [tex]km^{2}[/tex] = 8.5×1000000 [tex]m^{2}[/tex] = 8500000 [tex]m^{2}[/tex]
A ladder that is 20 ft. Long is leaning against the side of a building. If the angle formed between the ladder and the ground is 75, how far is the bottom of the ladder from the base of the building?
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Answer:
The ladder from the base of the building is 5.18 ft (Approx)
Step-by-step explanation:
As given
A ladder that is 20 ft. Long is leaning against the side of a building.
If the angle formed between the ladder and the ground is 75.
Now using the trignometric property .
[tex]cos\theta = \frac{Base}{Hypotenuse}[/tex]
As shown in the figure.
[tex]\theta = 75^{\circ}[/tex]
Base = CB
Hypotenuse = AC = 20 ft.
Put in the trignometric identity .
[tex]cos75^{\circ} = \frac{CB}{AC}[/tex]
[tex]cos75^{\circ} = \frac{CB}{20}[/tex]
[tex]cos\ 75^{\circ} = 0.259[/tex]
Put in the above
[tex] 0.259= \frac{CB}{20}[/tex]
[tex]0.259 = \frac{CB}{20}[/tex]
CB = 0.259 × 20
CB = 5.18 ft (Approx)
Therefore the ladder from the base of the building is 5.18 ft (Approx) .
Plz help, I’m so confused on this
Answers
Answer:B is the answer I think but I’m not sure sorry
Step-by-step explanation:
Given the parametric equations, x = 2t + 5 and y = 3t^2 - 1, find the point on the graph at time, t = 4.
Please explain how you got your answer.
Answers
Answer: (13, 47)
The expression t = 4 means that 4 units of time have come off the clock (possibly 4 seconds). Plug this value into each equation given for x and y
x = 2*t + 5 = 2*4 + 5 = 8 + 5 = 13
y = 3*t^2 - 1 = 3*4^2 - 1 = 3*16 - 1 = 48 - 1 = 47
In short, if t = 4 then it leads to x = 13 and y = 47 at the same time. These x and y values pair up to get the final answer (13,47)
--------------
Here's an update:
If t = 2, then,
x = 2t+5 = 2*2+5 = 4+5 = 9y = 3t^2-1 = 3*2^2-1 = 3*4-1 = 12-1 = 11In short, if t = 2, then x = 9 and y = 11
The point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].
To find the point on the graph at time [tex]\(t = 4\)[/tex] given the parametric equations [tex]\(x = 2t + 5\)[/tex] and [tex]\(y = 3t^2 - 1\)[/tex], substitute [tex]\(t = 4\)[/tex] into both equations.
1. For [tex]\(x\)[/tex]:
[tex]x = 2t + 5[/tex]
[tex]x = 2(4) + 5[/tex]
[tex]x = 8 + 5[/tex]
[tex]x = 13[/tex]
So, at [tex]\(t = 4\), \(x = 13\)[/tex].
2. For [tex]\(y\)[/tex]:
[tex]y = 3t^2 - 1[/tex]
[tex]y = 3(4)^2 - 1[/tex]
[tex]y = 3(16) - 1[/tex]
[tex]y = 48 - 1[/tex]
[tex]y = 47[/tex]
So, at [tex]\(t = 4\), \(y = 47\)[/tex].
Therefore, the point on the graph at time [tex]\(t = 4\) is \((13, 47)\)[/tex].
Suppose the band sells erasers for $2 per package and pencils for $5 per package. The band sells 220 packages in all and earns a total of $695. Write a system of equations to find the number of teacher type of package sold
Answers
[tex]e + p = 220[/tex]
We also know the cost of erasers and pencils totaled to $695 in earnings and so:
[tex]2e + 5p = 695[/tex]
and so those are your two equations.
Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
Anna: 1/8
Irina: 3/8
Avel: ?
Vlad: 1/8
If the road trip involves 640km of driving, which of the following is the best prediction for the number of kilometers that Avel will drive?
A. 80
B. 160
C. 240
D. 320
Answers
Answer:
1. [tex]\dfrac{3}{8}[/tex]
2. 240 km
Step-by-step explanation:
Anna drives [tex]\dfrac{1}{8},[/tex] Irina drives [tex]\dfrac{3}{8},[/tex] Vlad drives [tex]\dfrac{1}{8},[/tex] then Avel drives
[tex]1-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8}{8}-\dfrac{1}{8}-\dfrac{3}{8}-\dfrac{1}{8}=\dfrac{8-1-3-1}{8}=\dfrac{3}{8}.[/tex]
If the road trip involves 640 km of driving, then Avel drives
[tex]640\cdot \dfrac{3}{8}=80\cdot 3=240\ km.[/tex]
please help i dont understand?
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Add up the expressions. Combine like terms wherever possible.
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (x^2+10) + (x-3)
(f+g)(x) = x^2 + x + (10-3)
(f+g)(x) = x^2 + x + 7
Answer: Choice A
The ratio of students that ride the bus as compared to those that walk on 10:1. Does this school have more students that ride the bus or walk? How do you know.
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Answer: Yes they do.
Step-by-step explanation:
This because the ratio 10:1 means that for every 10 students that ride the bus only one walks. So if you had 30 students riding he bus you would only have 3 students that walked. So no matter what you will have more kids riding the bus.
the formula to convert fahrenheit to celsius is c=5/9 (f-32) convert 30
Answers
Answer:
-1 1/9 degrees Celsius
Step-by-step explanation:
Assuming we have 30 Fahrenheit, we need to plug it into the formula to find the degrees Celsius.
c=5/9 (f-32)
Substitute f=30
c = 5/9 (30-32)
c = 5/9 (-2)
c = -10/9
c = -1 1/9 degrees Celsius
What is the result of division?
Answers
Answer:
2x² +4x +11 +20/(x-2)
Step-by-step explanation:
The synthetic division is in the attachment. It shows the above quotient is the result of the division.
Linda is having a bake sale. She has 48 chocolate chip cookies and 64 vanilla wafer cookies to put in bags. How many bags can she fill if she puts the same number of cookies and the same number of wafers in each bag and has no cookies or wafers left over? Find the GCF.
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Answer:
48/8=6 bags of chocolate chip cookies.
And 64/8=8 bags of vanilla wafer cookies.
8 bags.
Step-by-step explanation:
Linda is having a bake sale:
48 chocolate chip cookies and 64 vanilla wafer cookies to put in bags
She can fill the bag with same number of cookies and the same number of wafers in each bag
And condition is no wafers or cookies left over.
So, we will find the greatest common factor of 48 and 64 which is 8
Hence, she can fill 8 bags
And 48/8=6 bags of chocolate chip cookies.
And 64/8=8 bags of vanilla wafer cookies.
Name FIVE x-values for which the cosine function equals 0.
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Answer:
You didn't input the function, but the cosine of 90 degrees is zero.
Cosine values of zero also occur when an angle equals
270 degrees 450 degrees 630 degrees and 810 degrees.
Step-by-step explanation:
Answer:
That would be 0, 180, 360, 540, and 720.
Step-by-step explanation:
If the value of sine is 0. Add 180 five times and we get the five numbers for the answer.
Brandon buys a radio for 43.99 in a state where sales tax is 7%.What is the total brandon pays for the radio
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Answer:
$3.08
Step-by-step explanation:
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
The graph of the function f(x) = x^3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown.
Which expression is equivalent to x^3 – 7x – 6?
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Answer: D
Step-by-step explanation:
The x-intercepts of the graph are: x = -2 , x = -1, and x = 3
--> x + 2 = 0, x + 1 = 0, and x - 3 = 0
--> (x + 2) (x + 1) (x - 3)
1 _____ 2
Choose the relationship symbol to make a true statement.
<
=
>
Answers
Answer: <
Step-by-step explanation: The top triangle (1) has a smaller area than triangle 2.
Answer:
Angle 1 < Angle 2
Step-by-step explanation:
This is a short answer, but I promise that its 100% correct.
Hope it helps.
Use the figure to complete the sentence.
∠6 and ____ are corresponding angles.
∠2
∠3
∠7
∠8
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Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%. Is he correct?
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Answer:
Gil is not correct.
Step-by-step explanation:
We have been given that Gil borrows $8,000 for college expenses. He will pay a total of $10,280 after 6 years. Gil says the interest rate is at least 5%.
We will use simple interest formula to check whether Gil is right or not.
[tex]A=P*(1+r*t)[/tex], where
A= Final amount after t years.
P= Principal amount.
r= Interest rate in decimal form.
Let us substitute our given values in above formula to find the interest rate.
[tex]10280=8000*(1+r*6)[/tex]
[tex]10280=8000+48000*r[/tex]
[tex]2280=48000*r[/tex]
[tex]r=\frac{2280}{48000}[/tex]
[tex]r=0.0475[/tex]
Since r is in decimal form, so let us convert interest rate in percent by multiplying by 100.
[tex]0.0475*100=4.75[/tex]
Therefore, the original interest rate is 4.75% which is less than 5%, so Gil is not correct.
Answer:
The answer is gill is incorrect he will pay 2280 interest, which corresponds to an interest rate of 4.75
Step-by-step explanation:
Please help!!!!!!!!!!!
Answers
Answer:u got to multiply
Step-by-step explanation:
Find the perimeter of the regular parallelogram.
Answers
Answer:
Approx. 48 cm
Step-by-step explanation:
The two horizontal sides of this parallelogram have length 12 cm each.
The length of one slanting side can be estimated by (eye: the base of the triangle partially outlined with a dashed line is approx. 3 cm. Then, using the Pyth. Thm., we estimate the hypotenuse of this triangle to be
sqrt(3^2 + 10^2), or sqrt(109), which is approx. 10.45.
Thus, the estimated perimeter is
P = 2L + 2W, which, here, is
P = 2(12 cm) + 2(10.45 cm), or 44.9 cm.
The fourth answer, 48 cm, is the one closest to this estimated 44.9 cm.
provide explanation w answer. correct answer gets BRAINLIEST!!!
Answers
Answer:
x = 8
y = 1
Step-by-step explanation:
Slope = difference in y values / corresponding difference in x values
Slope = (9 - 5) / (x - 10) = -2
-2x + 20 = 4
x = -16 / -2 = 8 (answer)
Question 4
(y - 6) /(1 - 2) = 5
y - 6 = -5
y = 1 (answer).
Lines g and h are parallel and m 2 = 135°.
What is m 7?
45°
65°
115°
135°
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If a → b is true, then ~a → b is also true.
Answers
Answer:
False
Step-by-step explanation:
To determine whether the statemaent "If [tex]a\Rightarrow b[/tex] is true, then [tex]\neg a\Rightarrow b[/tex] is also true" holds, you can form the truth table:
[tex]\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}[/tex]
When the result of the column [tex]a\Rightarrow b[/tex] takes value 1 (true), the result of the column [tex]\neg a\Rightarrow b[/tex] is not always 1, then the statement is false.
Suppose that, based on a sample, the 99.7% confidence interval for the mean of a population is (59,95). What is the mean of the sample?
Answers
Answer:
mean = 77
Step-by-step explanation:
We have a confidence interval of (59, 95) with a confidence of 99.7 percent
99.7 is 6 standard deviations from the mean, 3 on each side of the mean
mean - 3 sigma = 59
mean + 3 sigma = 95
We can use elimination to eliminate sigma. Add these equations together
mean - 3 sigma = 59
mean + 3 sigma = 95
---------------------------------
2 * mean = 154
Divide each side by 2
2 * mean/2 = 154/2
mean = 77
Based on a sample where the 99.7% confidence interval for the mean of a population is (59,95), 77 is the mean
Factor the polynomial
5c2 - 17c - 14
(5c - 7)(c - 2)
(5c - 2)(c - 7)
(5c - 7)(c + 2)
Prime polynomial
Answers
Answer:
The Answer is a Prime polynomial, it cannot be further factorized.
Step-by-step explanation:
My work
You may use a calculator to complete this test. if 1 egg and 1/3 cup of oil are needed for each bag of brownie mix, how many bags of brownie mix do you need if you want to use up all 3 eggs and 1 cup of oil?
Answers
If you go from using 1 egg to 3 eggs, you are multiplying the amount you use by 3. If you multiply 1/3 by 3, you get 1 cup of oil. Apply that to your 1 bag of brownie mix, and you get a total of 3 brownie mix bags.
1*3=3
1/3*3=1