how much of an alloy that is 40% copper should be mixed with 400 ounces of an alloy that is 70% copper in order to get an alloy that is 60% copper
Answers
The mixture requires 200 ounces of 40% alloy.
What is defined as the mixture?A mixture is a physical combination of two or more substances that retain their identities and are blended as solutions, suspensions, or colloids.
An alloy is a metallic substance made up of two or more elements that can exist as a compound or a solution. Alloy components are typically items, though carbon, a nonmetal, is a necessary component of steel.x = amount of 40% copper
400 = amount of 70% copper
x + 400 = total amount of copper = amount of 60% copper
Set a correctly weighted mixture of x and 300 equal to the a weighted (x+300), in which the weights are decimal percentages;
40% is 0.4, 70% is 0.7, and60% is 0.60.4x + 0.7(400) = 0.6(x + 400)
Solve for x:
0.4x + 280 = 0.6x + 240
0.2x = 40
x = 200
x = 200 ounces of 40% copper.
Therefore, the amount of 40% alloy needed for the mixture is 200 ounces.
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Related Questions
242. ___________ statistics summarize numbers and _____________ statistics determine whether the results are significant.
Answers
Descriptive statistics summarize numbers, and inferential statistics determine whether the results are significant.
Descriptive statistics are used to summarize and describe a set of data. They include measures such as the mean, median, and standard deviation, which provide information about the central tendency and spread of the data.
Inferential statistics, on the other hand, are used to draw conclusions about a population based on a sample of data. They include tests such as the t-test and ANOVA, which are used to determine whether the results of a study are statistically significant, or whether they could have occurred by chance.
So, Descriptive statistics summarize numbers, and inferential statistics determine whether the results are significant.
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Find the area of the shaded region
12 cm
- 4 cm
9 cm
Answers
it would look like this:
rectangle: 12x4= 48
triangle: 9x4=36/2=18
48-18=30
30!!!!
Solve for x. Round your answer to 2 decimal places.
A. 8
B. 13.86
C. 18.48
D. 32
Answers
Answer:
D) 32
Step-by-step explanation:
sin∠30=16/x first calculate sin∠30
1/2=16/x next cross multiply
x=32
Have a good day :)
URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
Answers
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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For what value of w is4w = 2w - 8
Answers
Answer:
w =-4
Step-by-step explanation:
4w = 2w - 8
Subtract 2w from each side
4w-2w = 2w-2w - 8
2w = -8
Divide by 2
2w/2 = -8/2
w = -4
5x + 3y = 134
x+y = 32
Answers
Answer:
(19,13)
x = 19
y = 13
Step-by-step explanation:
5x + 3y = 134
x + y = 32 ⇒ multiply through by -3 -3x -3y = -96 add this to the first equation
5x + 3y = 134
-3x -3y = -96
2x = 38 Divide both sides by 2
x = 19
Substitute 19 for x
x+ y = 32
19 + y = 32
y = 13
(19,13)
X = 19
y = 13
Statistics homework. Please help
Answers
You are testing if the mean is greater than a value, hence you should use a right-tailed test, with a critical value of \(\frac{\alpha}{2}\).
How to classify the test of an hypothesis?There are three classifications regarding the test of an hypothesis, which are presented as follows, along with the critical values used in each case:
Left-tailed test: At the alternative hypotheses, we test if the parameter is less than a value, with a critical value of \(\frac{\alpha}{2}\).Right-tailed test: At the alternative hypotheses, we test if the parameter is greater than a value, with a critical value of \(\frac{\alpha}{2}\).Two-tailed test: At the alternative hypothesis, we test if the parameter is different than a value, with a critical value of \(\alpha\)More can be learned about the test of an hypothesis at https://brainly.com/question/15980493
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question down below thanks
Answers
Expand brackets
6x-6-4x=6x-10
Collect like terms 2x-6=6x-10
Move all terms to the left side
2x-6-6x+10=0
Collect like terms
-4x+4=0
Move +4 to the other side as a negative number
-4x=-4
Divide both sides by -4
Therefore, x is equal to 1
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answers
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
HELP!!! HELP ME PLEASE!!!
Answers
Answer:
-4(8x-7)/7
Step-by-step explanation:
1. Simplify Term.
-8/7 (4x) - 8/7 * -3 + 4/7
-32x/7 - 8/7 * -3 + 4/7
-8/7 * 3
-32x/7 + 24/7 + 4/7
2. Simplify Term.
− 32 x * 24 + 4 divided by 7
-32x + 28 divided by 7
4(-8x + 7) divided by 7
4(-(8x) + 7) divided by 7
3. Rewrite 7 as -1(-7)
4(-(8x) - 1(-7)) divided by 7
4(-(8x - 7)) divided by 7
4. Rewrite -(8x - 7) as -1(8x - 7)
4(-1(8x - 7)) divided by 7
-4(8x - 7)/7
Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20
Answers
Answer:
OC
Step-by-step explanation:
3(b-2)
3(10-2)
3(8)
24
A rectangle is 6 ft long and 11 ft wide. What is the length of the diagonal of the
rectangle?
Answers
Answer:
sqrt(157) ft is the length of the diagonal
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the diagonal
a^2 + b^2 = c^2
6^2 + 11 ^2 = c^2
36+ 121 = c^2
157 = c^2
Take the square root of each side
sqrt(157) = sqrt(c^2)
sqrt(157) = c
Answer:
sqrt(157) ft is the length of the diagonal
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the diagonal
a^2 + b^2 = c^2
6^2 + 11 ^2 = c^2
36+ 121 = c^2
157 = c^2
Take the square root of each side
sqrt(157) = sqrt(c^2)
sqrt(157) = c
PLs help
............................................
Answers
once you plug them into the midpoint formula that’s the answer you should get
Please help!!!!!!!!!!
Answers
Answer:
no clue
Step-by-step explanation:
boo
I ONLY need 8c
Please show ALL STEPS
Answers
Answer:
8c
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
Step-by-step explanation:
f(x) = x^2 - x ; g(x) = x^2 + x
f(g(x)) = (x^2 + x)^2 - (x^2 + x)
f(g(x)) = (x^2 + x)^2 - x^2 - x
f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x
f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = (x^2 - x)^2 + x^2 - x
g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x
g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.
Answers
Answer:
\(15 \times 2.205 = 33.0693 \: lb\)
Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,
15 kg = 2.205 × 15 kg = 33.075 pounds
Hence, the Weight of Jackson's backpack is 33.075 pounds.
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A package of 4 pairs of insulated gloves costs $23.96. What is the unit price of the pairs of gloves?
Answers
The unit price of the pairs of gloves is 5.99 dollars.
How to find unit price?Unit price is the price at which a single quantity of a product is being sold. In other words, the unit price is a measurement used to represent the price of a particular good or service to be exchanged with customers or consumers for money.
Therefore, the package of 4 pairs of insulated gloves costs $23.96.
The unit price of the pairs of gloves is as follows:
unit price of the pairs of glove = 23.96 / 4
unit price of the pairs of glove = 5.99 dollars
Therefore, the unit price is 5.99 dollars.
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I NEED HELP PLEASE
FIND THE DIFFERENCE
Answers
Good luck have a good day
You combine like terms which they already did for you, so you just subtract or add them using kcf (keep,change,flip)
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 9854 total votes, how many no votes were there?
Answers
There were approximately 6056 no votes.
Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.
Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.
The total number of votes is given as 9854, so we can set up the following equation:
\(5x + 8x = 9854\)
Combining like terms, we have:
\(13x = 9854\)
To solve for x, we divide both sides of the equation by 13:
\(x = \frac{9854 }{13}\)
\(x \approx 757.23\)
Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.
Now, we can find the number of no votes by multiplying x by the ratio of no votes:
No votes \(= 8x\)
\(= 8 \times 757\)
\(= 6056\)
Therefore, there were approximately 6056 no votes.
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A random sample of 25 years between 1890 and 2011 was obtained, and the amount of snowfall, in inches, for Memphis was recorded. Open MemphisSnowfall.xls.
a. Create the normal probability plot using Excel or StatCrunch and paste it in your word document.
b. Create a histogram using Excel or StatCrunch and paste it in your word document.
c. Create a boxplot using Excel or StatCrunch and paste it in your word document.
d. State whether the data is "normal" or "not normal".
Answers
Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".
To answer this question, we need to use the data from the MemphisSnowfall.xls file and create a normal probability plot, a histogram, and a boxplot using Excel or StatCrunch. Then, we need to determine if the data is "normal" or "not normal".
a. To create the normal probability plot using Excel, follow these steps:
b. To create a histogram using Excel, follow these steps:
Select the data in the MemphisSnowfall.xls file.
Go to the Insert tab and click on Column in the Charts group.
Select the first option under 2-D Column.
Go to the Layout tab and click on Axis Titles in the Labels group.
Enter "Snowfall (inches)" for the horizontal axis title and "Frequency" for the vertical axis title.
Click on Close to create the histogram.
c. To create a boxplot using Excel, follow these steps:
Select the data in the MemphisSnowfall.xls file.
Go to the Insert tab and click on Box and Whisker in the Charts group.
Select the first option under Box and Whisker.
Go to the Layout tab and click on Axis Titles in the Labels group.
Enter "Snowfall (inches)" for the horizontal axis title and "Frequency" for the vertical axis title.
Click on Close to create the boxplot.
d. To determine if the data is "normal" or "not normal", we need to look at the normal probability plot, the histogram, and the boxplot. If the normal probability plot is a straight line, the histogram is bell-shaped, and the boxplot is symmetric, then the data is "normal". If the normal probability plot is not a straight line, the histogram is not bell-shaped, and the boxplot is not symmetric, then the data is "not normal".
Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".
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10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Answers
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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Find the value of x can you help me
Answers
Answer:
15
Step-by-step explanation:
Answer:
5x-1=6x-16
1x=-17
x=-17?
Step-by-step explanation:
what is the midpoint between a(2,-2) and B (-3, 2)
Answers
Answer:
Midpoint (xM, yM) = (4, 5)
Hope it helps if it does pls give me brainly :)
1. Explain the Law of Cosines by ∆ ABC
2. Explain Law of Sines by ∆ ABC
3. Explain The SSA Postulate
Answers
===================================
1.) Explain the Law of Cosines by ∆ ABC
\(\begin{gathered}\sf{{a ^ 2 = b ^ 2 + c ^ 2 - 2bc(cos A)}}\\ \sf{{b ^ 2 = a ^ 2 + c ^ 2 - 2ac(cos B)}} \\ \sf{{c ^ 2 = a ^ 2 + b ^ 2 - 2ab(cos C)}}\end{gathered} \)2.) Explain Law of Sines by ∆ ABC
\(\sf{{\frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c}}}\)3.) Explain The SSA ( There is no SSA postulate so you may have just typed the question incorrectly or you may be asking about SSA Possibilities.)
» SSA ( Side-Side-Angle) · the two triangles are equal if two sides and an angle not included between them are equal.
The SSA Possibilities:If ∠A is an acute angle and a≥b, then there is exactly one solution.If ∠A is an obtuse or a right angle and a≤b, then there is exactly no solution.If ∠A is an acute angle, a<b, and a=b sin A then there is exactly one solution.If ∠A is an obtuse or a right angle and a>b, then there is exactly one solution.===================================
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Law of Cosines by ∆ ABC
\( \\ \\ \)
Answer :\( \\ \)
Law of Cosines by ∆ ABC:
Let three side be :
abc\( \\ \)
Formula:
a² = b² + c² – 2bc (cos A)b² = a² + c² – 2ac (cos B)c² = b² + a² – 2ba (cos C)\( \\ \)
Also known as :
Law of Cosines by ∆ ABC is also known as :
cosine rule\( \\ \)
Define :
The law of cosines states that if any two sides(i.e a , b , or c) of a triangle and angle formed between them ( i.e ∠A , ∠B or ∠C) are give then we are able to find third side.
(side 1)² = (side 2)² + (side 3)² - 2 side 1 × side 2 (cos angle formed between side 2 and side 3)
\( \blue{ \huge \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}\)
Question :Law of Sines by ∆ ABC
\( \\ \\ \)
Answer :\( \\ \)
Law of sines by ∆ ABC:
Let three side be :
abc\( \\ \)
Formula :
\( \boxed{ \rm \frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } = \frac{c}{ \sin(C) } }\)
\( \\ \)
Define :
It is ratio between side of triangle (i.e a , b , c) and sin of angle formed (angle A , angle B or angle C) opposite to it. Above formula you can see side a is side angle and opposite angle sin i.e A are in ratio and they are equal to ratio of side b and sin of opposite angle to b i.e angle B.
\( \blue{ \huge \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}\)
Correct Question :
Explain SSA
\( \\ \)
Full form
S - Side
S - Side
A - Angle
\( \\ \)
Define :
This condition is seen when two triangles are congruent , when two sides are equal and angle which is not formed between them are equal.
\( \\ \)
Congruent triangles :
Congruent triangles are those triangles that have exact shape and size.
\( \\ \)
Conditions for congruent triangles :
SASSide - angle - side
ASAangel - side - angle
SSAside side angle
SSSside side side
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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how do i know which one?
Answers
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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..................help
Answers
Answer:
when you use the numbers that are given you can see that B is the right answer
The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answers
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
the school is planning a field trip to the Science Center the tickets are originally $28 but school groups receive and $8 discount on each ticket purchased. the expression t(28-8) represents the total cost for t tickets
Answers
Answer: 28-8 is the discounted price of each ticket, and t(28-8) is equal to/ (=) ----> 24(28-8)
Step-by-step explanation trust me :)
help help exponents help
Answers
Answer:
3
Step-by-step explanation:
The base is the number below the exponent.