Answer: \(\frac{28}{96}\)
Step-by-step explanation:
We will figure out what needs to happen to the denominator to get to 96, then we will do the same to the numerator.
\(\displaystyle \frac{7}{24}=\frac{?*x}{24*x=96} =\frac{7*4}{24*4}=\frac{28}{96}\\\\ \\\text \\\;\;\;\;\;\; \frac{28}{96}\)
Answer:
28/96
Step-by-step explanation:
Equalize the equivalent fractions according to the desired denominator and solve for the numerator "x"
\(\frac{7}{24} =\frac{x}{96}\)
\(x=\frac{(96)(7)}{24} =\frac{672}{24} =28\)
The equivalent fraction is
\(\frac{28}{96}\)
Hope this helps
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer: your answer should be 103
which expresion is equivalent to 2(t - 4) + 1?
Answer:
2t-7 is the only similar expression that's possible unless you have a multiple choice thing to go along with that.
Let me know if you need more help :)
Solving an equation to find the value 3u-9
Answer:
You need to know what 3 u - 9 is equal to, in order to solve the equation for the variable u. Please post the entire equation. As this stands, it is just an algebraic expression and cannot be "solved".
Step-by-step explanation:
Raul tried to evaluate an expression step by step.
Answer:
(B) Step 2
Step-by-step explanation:
In step 2, Raul should have had one of these results:
8 -7 . . . . according to the order of operations
or
3 -2 . . . . properly adding 5 -7
Raul's step 2 is not either of these (or 5-4), so is incorrect.
Answer:
step 2 i did it on khan yall
Step-by-step explanation:
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=74,000+80x and p(x)=300− x 30, 0≤x≤9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company $5 for each set it produces, how many sets should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each set?
Answer:
a) $675000
b) $289000 profit,3300 set, $190 per set
c) 3225 set, $272687.5 profit, $192.5 per set
Step-by-step explanation:
a) Revenue R(x) = xp(x) = x(300 - x/30) = 300x - x²/30
The maximum revenue is at R'(x) =0
R'(x) = 300 - 2x/30 = 300 - x/15
But we need to compute R'(x) = 0:
300 - x/15 = 0
x/15 = 300
x = 4500
Also the second derivative of R(x) is given as:
R"(x) = -1/15 < 0 This means that the maximum revenue is at x = 4500. Hence:
R(4500) = 300 (4500) - (4500)²/30 = $675000
B) Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 80x) = -x²/30 + 300x - 80x - 74000
P(x) = -x²/30 + 220x - 74000
The maximum revenue is at P'(x) =0
P'(x) = - 2x/30 + 220= -x/15 + 220
But we need to compute P'(x) = 0:
-x/15 + 220 = 0
x/15 = 220
x = 3300
Also the second derivative of P(x) is given as:
P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3300. Hence:
P(3300) = -(3300)²/30 + 220(3300) - 74000 = $289000
The price for each set is:
p(3300) = 300 -3300/30 = $190 per set
c) The new cost is:
C(x) = 74000 + 80x + 5x = 74000 + 85x
Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 85x) = -x²/30 + 300x - 85x - 74000
P(x) = -x²/30 + 215x - 74000
The maximum revenue is at P'(x) =0
P'(x) = - 2x/30 + 215= -x/15 + 215
But we need to compute P'(x) = 0:
-x/15 + 215 = 0
x/15 = 215
x = 3225
Also the second derivative of P(x) is given as:
P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3225. Hence:
P(3225) = -(3225)²/30 + 215(3225) - 74000 = $272687.5
The money to be charge for each set is:
p(x) = 300 - 3225/30 = $192.5 per set
When taxed $5, the maximum profit is $272687.5
Answer:
b) $289000 profit,3300 set, $190 per set
HELP ME AS SOON AS POSSIBLE PLEASE HELP ME
Will give Brainliest and extra points if correct!!!!
What is the slope of the line that contains the points (−3, −1) and (3, −10)?
Undefined
0
-2/3
-3/2
Answer:
The slope of a line can be calculated using the following formula:
```
m = (y2 - y1) / (x2 - x1)
```
where `m` is the slope, `y2` and `y1` are the y-coordinates of the two points, and `x2` and `x1` are the x-coordinates of the two points.
In this case, we have the following points:
```
(x1, y1) = (-3, -1)
(x2, y2) = (3, -10)
```
Plugging these values into the formula, we get the following:
```
m = (-10 - (-1)) / (3 - (-3)) = -9 / 6 = -3/2
```
Therefore, the slope of the line is **-3/2**. So the answer is (c).
Step-by-step explanation:
Which of the following does not have 32 as a multiple A 2 B 3. C 4 D 8
Answer:
b .3
Step-by-step explanation:
every thing else is even and if u add them up u will get to 32 eventually
Answer:
B.) 3
Step-by-step explanation:
To do this problem, we should find out what factors can equal 32. So let's start with finding out. This problem is going to require multiplication and division.
Letter A is a multiple of 32, because:
32 ÷ 2 = 16, which means that 16 x 2 = 32.
Because 2 can be divided equally into 32, this answer is wrong.
_________________
Letter C is a multiple of 32, because:
32 ÷ 4 = 8, which means that 8 x 4 = 32.
Because 4 can be divided equally into 32, this answer is also wrong.
_________________
And, because the last answer equaled 8, that means that:
32 ÷ 8 = 4, which means that 4 x 8 = 32.
Which is also wrong.
_________________
This leaves us with 32 ÷ 3 = 10.6666666667. This answer cannot be multiplied evenly into 32, so it is correct.
I hope that this helps.
Calculate the unit price to the nearest tenth of a cent, and determine the better or best buy based on price alone. (2 points)
5. Chen Wu is buying potato chips. The following sizes are for sale: 1.5 ounces, $0.65; 5.75 ounces, $1.30; and a 2-pack of the 5.75 ounces, $2.45.
Answer: To determine the unit price, we divide the price by the number of ounces.
For the 1.5-ounce bag:
Unit price = $0.65 / 1.5 ounces = $0.433 per ounce
For the 5.75-ounce bag:
Unit price = $1.30 / 5.75 ounces = $0.226 per ounce
For the 2-pack of 5.75-ounce bags:
Total ounces = 2 x 5.75 = 11.5 ounces
Total price = $2.45
Unit price = $2.45 / 11.5 ounces = $0.213 per ounce
Therefore, the 2-pack of 5.75-ounce bags has the lowest unit price and is the best buy based on price alone.
Step-by-step explanation:
Please need help today it’s due today
Answer:
i think it is c(3)
Step-by-step explanation:
Answer:
A. For every charm added, the weight of the bracelet increases by 0.4 ounces
Step-by-step explanation:
the graph shows that it goes up by 0.4 ounces. It can't be the other answers because it would already be above 3 ounces after one point.
Answer: 0.4 ounces
What is the slope from a graph:
Rise/run = slope
hope this helps :)
Jose weighs 12 pounds less than twice what his sister maria weighs. If w respesent maria weight. Which expression shows jose weight
Answer:
2w-12
Step-by-step explanation:
Jose = 2x(Maria's weight) -12
j = 2w -12
The equivalent ratios show how many teaspoons there are in 5 cups. What method can be used to convert 1 cup to teaspoons? multiply 1,200 by 5 divide 1,200 by 5 multiply 5 by 1 divide 5 by 1,200
The correct answer is Option B.
Divide 1,200 by 5.
What is equivalent ratio?Equivalent ratios are those that are the same when compared. Two or more ratios can be compared to determine whether or not they are equivalent.Equivalent ratios are two ratios that have the same value. Multiply or divide both quantities by the same number to find an equivalent ratio. It is the same as determining equivalent fractions. Equivalent equations are algebraic equations with the same solution or root. An equivalent equation is created by adding or subtracting the same number or expression from both sides of an equation.Here = 1200tsp / 5c = ?tsp/1c
= 1200 / 5
= 240 tsp
To learn more about equivalent ratio refer to :
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Find the area of a rectange with a base of 3/7 feet and a height of 9/10 feet
The area of the rectangle is 27/70 square feet.
Area of a rectangleThe area of a rectangle is given by the formula:
Area = base x height
Plugging in the given values, we get:
Area = (3/7) x (9/10)
Simplifying, we get:
Area = (27/70) square feet
Therefore, the area of the rectangle is 27/70 square feet.
More on the area of rectangles can be found here: https://brainly.com/question/20693059
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Find the value of x in the proportion 3/8= x/40
Answer:
x = 15Step-by-step explanation:
3 / 8 = x / 40x = 3 ×40 / 8x = 120 / 8x = 15Follow me
to spend to much traveling and country the day she arrived the exchange rate was 1.4 country a dollars Per country B dollars if she exchange 500 country B dollars when she arrived how many country eight dollars she receive
Answer:
She receives 700 country A dollars.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
1.4 country a dollars Per country B dollar
She exchanges 500 country B dollars, so:
1.4 country A dollars - 1 country B dollar
x country A dollars - 500 country B dollars
Applying cross multiplication:
\(x = 1.4*500 = 700\)
She receives 700 country A dollars.
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
Determine a series of transformations that would map Figure X onto Figure Y.
Check the picture below.
I need help ASAP thank you!!!
Answer:
252 cm
Step-by-step explanation:
The volume of the figure can be found in two ways, one finding the volume of a larger rectangular prism and subtracting the missing pieces:
6×5×10=300
The area of one missing piece is 1×4×6=24, and the other is the same, so 300-48=252 gives the volume of that solid.
Otherwise, you can split the solid into three rectangular prisms, recognizing that the top and the bottom ones are congruent. Then you would have (6×5×3)×2=180 for the top and bottom rectangular prisms and (6×3×4)=72 for the middle one, giving you a volume of 180+72=252.
I'm trying to do math, but i allways fail, what should i do..?
Answer:
should study more, get the best out of your brain
Have a great day dear friend :)
Step-by-step explanation:
The most and best thing you should be doing is always stay focus when your teacher is teaching and s
when you don't understand something you should ask her for some help.
Entrance to a state park costs $6 per car, plus $2 per person in the vehicle. How might you determine the entrance cost for a bus with 50 people?
Answer: 130 dollars because 26 times 5 is 130 and 5 stands for 50 people
Assuming each family had one car, 2 people would cost $10, 4 would cost $14, 10 would cost $26.
Let me know if you want me to expand further... Happy to help :)
Brainliest please
Step-by-step explanation:
A local diner has started selling cupcakes and is using the bar chart given below to keep track of how many are sold each day. How many cupcakes will be sold on day n?
Answer:
a + (n-1)*4
Step-by-step explanation:
Day n could be any particular day located on the x-axis of the bar chart. Each bar represents the amount of cupcakes sold on each of the four days numbered from 1 to 4. The height of each bar marks the number of cupcakes sold. According to the chart attached, the number of cupcakes sold on each day is listed below:
Day 1 : 1 cupcake sold
Day 2 : 5 cupckaes sold
Day 3: 9 cupcakes sold
Day 4: 13 cupckaes sold
Studying the graph carefully fully, it will be observed that the number of cupcakes sold increases by a margin of 4 after day one.
As such the number of cupcakes sold in n days can be modeled by:
Using the Arithmetic progression formula:
Tn = a + (n-1)d
d = common difference, = 4
a = first term = 1
n = number of days
Hence, number sold in day n:
a + (n-1)*4
Arithmetic progressio
Answer:
3n−1 cupcakes
Step-by-step explanation:
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
<95141404393>
Age of Senators The average age of senators in the 108th Congress was 56.5 years. If the standard deviation was 12.5 years, find the Z-scores corresponding to the oldest and youngest senators of age 85 and 39. Round z scores to two decimal places. Part: 0/2 Part 1 of 2 The Z-score corresponding to the oldest senator of age 85 is oll
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:
Z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
Part 1 of 2: For the oldest senator of age 85:
Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28
Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.
Part 2 of 2: For the youngest senator of age 39:
Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
Learn more about standard deviation here :
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A right triangle has an area of 36 square units. If you draw scaled copies of this traingle. What will the areas of these scaled copies be? Explain or show your reasoning
1 to 5 you most likely have to add 36 x the number but the fractions I don't know
what is the median 9 7 6 10 3 4 6
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
For more questions on trigonometric form
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The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of packs of dog food:
Number of Packs of Dog Food Number of Ounces of Dog Food
3 117
4 156
5 195
What is the constant of proportionality? (5 points)
a
3
b
39
c
42
d
78
Answer:
B (39)
Step-by-step explanation:
Multiply the Number of Packs of Dog Food by 39.
3 x 39 = 117
4 x 39 = 156
5 x 39 = 195
Determine the surface area of the rectangular prism.
Answer:
The answer is 220 cm^2
Step-by-step explanation:
Formula of a rectangular prism: 2 (lw + lh + wh)
2 (lw + lh + wh)
2 (10 x 4 + 10 x 5 + 4 x 5)
2 (40 + 50 + 20)
2 (110)
= 220 cm^2
In a small city, approximately 14% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year. (a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years? (Enter your answer to four decimal places.) (b) What is the probability that a particular eligible person in this city is selected in all three of the next 3 years? (Enter your answer to six decimal places.)
Answer:
a
\(P(E \ n\ Z) = 0.0196\)
b
\(P(E \ n\ Z \ n \ Y) = 0.0027\)
Step-by-step explanation:
From the question we are told that
The probability of that a person is being called for jury duty in any given year is \(P(J) = 0.14\)
Let P(E) be the probability a person being selected in the first year, Let P(Z) be the probability a person being selected in the second year
and Let P(Y) be the probability a person being selected in the third year
Generally the probability that a particular eligible person in this city is selected in both of the next 2 years is mathematically represented as
\(P(E \ n\ Z) = P(E) * P(Z) = P(J)^2\)
=> \(P(E \ n\ Z) = 0.14^2\)
=> \(P(E \ n\ Z) = 0.0196\)
Generally the probability that a particular eligible person in this city is selected in both of the next 3 years is mathematically represented as
\(P(E \ n\ Z \ n \ Y) = P(E) * P(Z) * P(Y) = P(J)^3\)
=> \(P(E \ n\ Z \ n \ Y) = 0.14^3\)
=> \(P(E \ n\ Z \ n \ Y) = 0.0027\)
This multiplication of each probabilities is valid because each probability is independent of one another