Answers
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
Related Questions
please help me i rlly need help
Answers
Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]
Substitute in the values;
[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]
[tex]\frac{8-5}{3-2}[/tex]
simplify;
[tex]\frac{3}{1}[/tex]
= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
which is the right andwer?????????? please help me
Answers
Answer:
The first one
What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here
Answers
The fraction of the shape which is shaded in simplest form is 1/3.
The square in the diagram provided has a total of 12 boxes .
The number of shaded part is 4
To calculate the shaded fraction of the shape we have to use the formula:
Number of shaded part/ Total number of boxes present.
= 4/12
We can divide the numerator and denominator by 4 to get the simplest form.
= 1/3
The fraction of the shape which is shaded in simplest form is therefore
= 1/3.
Read more about Fraction here https://brainly.com/question/17743912
You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd power. the cost of the material for the base is $0.40 per square cm and the cost of the material for the side is $0.10 per square cm.How to determine the dimension of the box that will minimize the cost of manufacturing. What is the minimum cost? in dollars and rounded to the nearest cent.
Answers
Answer:
$69.21
Step-by-step explanation:
Since the box has a square base the length and breadth of the box will be equal. Let it be [tex]x[/tex]
Let h be the height of the box
V = Volume of the box = [tex]620\ \text{cm}^3[/tex]
[tex]x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}[/tex]
Now surface area of the box with an open top is given
[tex]s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}[/tex]
Differentiating with respect to x we get
[tex]\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}[/tex]
Equating with zero
[tex]0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74[/tex]
Double derivative of the function
[tex]\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0[/tex]
So, x at 10.74 is the minimum value of the function.
[tex]h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37[/tex]
So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.
The total area of the sides is [tex]4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2[/tex]
The area of the base is [tex]x^2=10.74^2=115.35\ \text{cm}^2[/tex]
Cost of the base is $0.40 per square cm
Cost of the side is $0.10 per square cm
Minimum cost would be
[tex]230.7\times 0.1+0.4\times 115.34=\$69.21[/tex]
The minimum cost of the box is 69.21 dollars.
You are using 1000 feet of fence to create a rectangular enclosure. Let X represents length of the rectangle. Please use proper unit in each answer. A rectangle drawing could help. 1. Express the width of the rectangle in terms of the length X. 2. Express the surface area of the rectangle in terms of X. 3. What value of X gives the maximum surface area. 4. What is the maximum surface area?
Answers
Answer:
1. Express the width of the rectangle in terms of the length X.
width = 500 - X
2. Express the surface area of the rectangle in terms of X.
area = -X² + 500X
3. What value of X gives the maximum surface area?
maximum surface area results from the rectangle being a square, so 1,000 ÷ 4 = 250
X = 250 ft
4. What is the maximum surface area?
maximum surface area = X² = 250² = 62,500 ft²
Step-by-step explanation:
since the perimeter = 1,000
1,000 = 2X + 2W
500 = X + W
W = 500 - X
area = X · W = X · (500 - X) = 500X - X² or -X² + 500X
The area of a shape is the amount of space it occupies.
The width in terms of x is 500 - xThe surface area in terms of x is x(500 - x)The value of x that gives maximum surface area is 250 feetThe maximum area is 62500 square feetThe length is represented as x.
Let the width be y.
So, we have:
[tex]\mathbf{Perimeter =2(x + y)}[/tex]
This gives
[tex]\mathbf{2(x + y) = 1000}[/tex]
Divide both sides by 2
[tex]\mathbf{x + y = 500}[/tex]
Make y the subject
[tex]\mathbf{y = 500 -x}[/tex]
So, the width in terms of x is 500 - x
The surface area is calculated as:
[tex]\mathbf{A = xy}[/tex]
Substitute [tex]\mathbf{y = 500 -x}[/tex]
[tex]\mathbf{A = x(500 - x)}[/tex]
So, the surface area in terms of x is x(500 - x)
Expand [tex]\mathbf{A = x(500 - x)}[/tex]
[tex]\mathbf{A = 500x - x^2}[/tex]
Differentiate
[tex]\mathbf{A' = 500- 2x}[/tex]
Equate to 0
[tex]\mathbf{500- 2x = 0}[/tex]
Rewrite as:
[tex]\mathbf{2x = 500}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 250}[/tex]
So, the value of x that gives maximum surface area is 250
Substitute 250 for x in [tex]\mathbf{A = x(500 - x)}[/tex]
[tex]\mathbf{A = 250 \times (500 - 250)}[/tex]
[tex]\mathbf{A = 250 \times 250}[/tex]
[tex]\mathbf{A = 62500}[/tex]
Hence, the maximum area is 62500
Read more about areas at:
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3. Jane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following: The amount of the finance charge? The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answers
Answer:
multiply it by .12 then it says for 12 months, multiply it by 12 then
Step-by-step explanation:
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.
Required:
Find the value of the standardized z-test statistic.
Answers
Answer:
Z = -6.3
Step-by-step explanation:
Given that:
[tex]\mathbf{H_o :p= 0.28}[/tex]
[tex]\mathbf{H_o :p < 0.28}[/tex]
Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.
Sample sixe n = 800
[tex]\hat p[/tex] = 0.217
The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]
[tex]S.E(p) \simeq0.015[/tex]
Since this is a single proportional test, the test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]
Z = -6.3
The mean age of several boys in a class is 12. The total is 156. How
many boys are there?
Answers
Answer:
13
Step-by-step explanation:
156/12
What is 3 to the 4th power
Answers
Answer:
3 to the 4th power is 81.
Step-by-step explanation:
You would do 3 × 3, which would get you to 9. Then, you multiply 9 × 9, which gives you 81.
Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.
Answers
Answer:
$2,639.19
Step-by-step explanation:
Her balance at the end of the month is
$2358.19 - $80.00 + $99.50 = $2537.69
So the finance charge is 2537.69 * 0.04% = $101.50
and her new balance is $101.50 + $2537.69 = $2639.19
if owen has a collection of nickels and quarters worth $8.10. if the nickles were quarters and the quarters were nickels, the value would be 17.70 find the number of each coin?
2
Answers
0.05x + 0.25y = 8.10
0.25x + 0.05y = 17.70
x = 67, y= 19
There are 67 nickels and 19 quarters
Question 6 (1.25 points)
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000. A random sample of 53 lawyers selected from the city
reveals a mean annual salary of $114,000. Assume that o = $17,000, and that the
test is to be made at the 1% significance level.
What is the value of the test statistic, z, rounded to three decimal places?
A
Answers
Answer:
Test statistic Z= 1.713
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Step-by-step explanation:
Step(i):-
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000
Mean of the Population μ = $110,000
Sample size 'n' = 53
Mean of the sample x⁻ = $114,000.
standard deviation of the Population = $17,000,
Level of significance = 0.01
Null hypothesis :
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
H₀: x⁻ = μ
Alternative Hypothesis : x⁻ ≠ μ
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }[/tex]
Z = 1.7130
Tabulated value Z = 2.576 at 0.01 level of significance
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
-9 is an example of what
Answers
Answer:
A negative number, a negative integer, a negative multiple of 3, etc.
Step-by-step explanation:
Answer:
integer
???????
Step-by-step explanation:
I'm not sure
John puts $1,500 in a savings account that earns 7% simple interest annually. Find the new
balance in his savings account after three years if John does not deposit or withdraw any
money.
Answers
Answer:
$1,815
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the values we know:
I = prt
I = (1,500)(0.07)(3)
I = 315
Add this to the original amount:
1500 + 315
= 1,815
So, John will have $1,815 in his account after 3 years.
What’s the equation of a line that is perpendicular to -x +2y =4 and passes through the point (-2,1)
Answers
Answer:
y = -2x - 3
Step-by-step explanation:
Given:
Equation of -x +2y =4
Point of (-2,1)
-x + 2y = 4
y = x/2 + 2 or y = 1/2x + 2
Which means the equation's slope is m = 1/2.
The slope of the perpendicular line is negative inverse which is m = -2.
Now we have an equation of y = -2x + a.
Use (-2, 1) to find a:
1 = (-2)(-2) + a
a = -3
y = - 2x - 3
There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?
Answers
Answer:
There are 64 trucks!
Step-by-step explanation:
When the following quadratic equation is written in standard form, what is the value of "c"?
Answers
Answer:
it's 2
Step-by-step explanation:
a= -3/4
b=0
c=2
The length of a rectangle is 97 meters and the width is 14 meters. Find the area. Give your answer without units.
Provide your answer below:
Answers
The length is 97 and the width is 14
97•14=1358
The area of a rectangle is the product of length and width thus the area will be 1358 square meters.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
The perimeter of the rectangle = 2( length + width).
It is known that,
Area of rectangle = length × width.
Area = 97 x 14 = 1358 sqare meters
Hence "The area of a rectangle is the product of length and width thus the area will be 1358 square meters".
For more about rectangles,
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Which of the following equations represent linear functions?
y=x2−3x
4x+y=5
y=|2x+1|
y=−5
Answers
Answer:
its y=-5x
Step-by-step explanation:
Why?
linear functions have only the slope, they dont include the y-intercept
Jacob has a piece of paper in the shape of a Decagon, how many sides would be there for the
paper.
A) 7
B) 8
C) 9
D) 10
Answers
Answer:
10
Step-by-step explanation:
A decagon is a polygon that has 10 sides !
10 if I’m not mistaken
Explanation
17 times the sum of a number, n, and 31 is 300. Write as an equation.
Answers
Answer:
17(n+31)=300
Step-by-step explanation:
17 times the sum of a number, n and 31 is 17(n+31)
and then set that equal to 300
Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?
Answers
Answer:
10 apples
Step-by-step explanation:
if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20
eqaution: 10 divided by 2
-5x=-6
what is the value of x?
Answers
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Solve 4X squared minus X -5 equals zero
Answers
your answer should be 1/3 if I did my math right
Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?
Answers
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answers
2(3x^2-2x) + 2(x^2+7x-9)
= 6x^2 - 4x + 2x^2 +14x - 18
Simplify
8x^2 + 10x - 18
It would be number 4
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answers
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
^DEF and ^RSQ are shown in the diagram below
Based on the information provided in the diagram, what is mZQ in degrees?
Answers
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
Use the inequality below to find the value of r .
150 - 5 r ≥ 87.5
a. r ≥ 12.5
b. r ≤ 12.5
c. r ≥ -(12.5)
d. r ≤ -(12.5)
Answers
3. Determina la solución dex en la siguiente ecuación. 10x + 3 = 9 x -2
Answers
Answer:
x=5
Step-by-step explanation:
10x + 3 = 9 x -2
10•x + 3 = 9•x -2