In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains462 grams of copper. How many grams of zinc does it contain?It containsgrams of zinc.
Answers
In order to calculate the amount of zinc in the chemical, we can use the following rule of three:
\(\begin{gathered} \text{grams}\to\text{ratio} \\ 462\to14\text{ parts} \\ x\to3\text{ parts} \\ \\ \frac{462}{x}=\frac{14}{3} \\ 14\cdot x=462\cdot3 \\ x=\frac{462\cdot3}{14} \\ x=99 \end{gathered}\)Therefore the amount of zinc is 99 grams.
Related Questions
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answers
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Match each function on the left to all points on the right that would be located on the graph of the function. Help!! thanks
Answers
Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;
f(x) = 2x + 2 ⇒ (0, 2).
f(x) = 2x² - 2 ⇒ (-1, 0).
\(f(x) = 2\sqrt{x+1}\) ⇒ (0, 2).
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;
For the ordered pair (0, 2), we have:
f(x) = 2x + 2
2 = 2(0) + 2
2 = 2 (True).
For the ordered pair (-1, 0), we have:
f(x) = 2x² - 2
0 = 2(-1)² - 2
0 = 2 - 2
0 = 0 (True).
For the ordered pair (0, 2), we have:
\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)
2 = 2 (True).
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find the distance between points P(8,2) and Q(3, 8 ) to the nearest tenth
Answers
ANSWER:
7.8 units
STEP-BY-STEP EXPLANATION:
We have the following points:
\(\begin{gathered} P(8,2) \\ Q(3,8) \end{gathered}\)In this case, we must apply the following formula to calculate the distance between both points:
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)replacing:
\(\begin{gathered} d=\sqrt[]{(3-8)^2+(8-2_{})^2} \\ d=\sqrt[]{(-5)^2+(6_{})^2} \\ d=\sqrt[]{25+36} \\ d=\sqrt[]{61} \\ d=7.8 \end{gathered}\)The distance between both points is 7.8 units
Ms.Peralta's friend Mike is a construction worker. Mike gets paid $15 an hour. After working 9 hours he gets paid 1.25 times his hourly rate. Below you can find Mike's hours for last Friday. - Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - worked for an additional 7.5 hours How much money did Mike make last Friday?
Answers
Answer:
Mike made $ 200.63 last Friday.
Step-by-step explanation:
Since Ms. Peralta's friend Mike is a construction worker who gets paid $ 15 an hour, and after working 9 hours he gets paid 1.25 times his hourly rate, and last Friday Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - and worked for an additional 7.5 hours, to determine how much money did Mike make last Friday the following calculation must be performed:
5 + 7.5 = 12.5
12.5 - 9 = 3.5
9 x 15 + (3.5 x (15 x 1.25)) = X
135 + 3.5 x 18.75 = X
135 + 65.625 = X
200.63 = X
Therefore, Mike made $ 200.63 last Friday.
HELPPPPPPPPP What is the best next step in the construction of an equilateral triangle
Answers
If You Know The Answer Help :)
Answers
Answer:
0.3
Step-by-step explanation:
Answer:
3/20
Step-by-step explanation:
1/5=4/20
7/20-4/20=3/20
Hope this helps!
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
Answers
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
How does an outlier affect the mean of a data set?
Answers
The mean will move towards the outlier.
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean.
The mean is non-resistant. That means it's affected by outliers. More specifically, the mean will want to move towards the outlier.
For example,
Let's say we have some data - 1,2,3. The mean of this data is 2. But if we add an outlier of 94 to the data set, the mean will become 25. As you can see, the mean moved towards the outlier.
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Someone plzzzzz give me the answer for this. Btw I know if you add them all it would be A but there are 3 lines left then add them all. So basically just give me the answer plzzz I really need your help.
Answers
Answer:
Option D. 37¼ ft
Step-by-step explanation:
The perimeter of the figure above can be obtained by adding all the lengths of each sides together. This can be obtained as follow:
The lengths of each sides are given below:
Top = 6¼ ft
Left = 9⅛ ft
Bottom = 9½ ft
Right = 7¾ ft
Top horizontal = 9½ – 6¼
= 19/2 – 25/4
= 13/4 ft
Top height = 9⅛ – 7¾
= 73/8 – 31/4
= 11/8 ft
Perimeter = 6¼ + 9⅛ + 9½ + 7¾ + 13/4 + 11/8
= 25/4 + 73/8 + 19/2 + 31/4 + 13/4 + 11/8
= 149/4
= 37¼ ft
Thus, the perimeter of figure is 37¼ ft
Makayla spent $29.99 plus 8.875% tax and also tipped 15% at the car wash. How much did she spent?
(Discount, tax, extra money paid, money saved, and final price can be included)
Answers
Answer:
37.1501125
Step-by-step explanation:
29.99+23.875÷100×29.99 amount then tax+tip divided by 100 ×amount
Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
What percentage of 40 is 8?
Answers
Answer:
20%
Step-by-step explanation:
Answer:3
Step-by-step explanation:
It takes a groundskeeper 40 minutes to prepare a little League baseball field for a game. It takes his assistant 55 minutes to prepare the same field. How long will it take if they work together to
prepare the field?
Answers
Answer:
23 minutes 9.47 seconds.
Step-by-step explanation:
The groundskeeper's rate is 1=r*40 so r = 1/40 of the job per minute. The assistant works at a rate of 1/55 of the job per minute (1 = r*55 so r=1/55).
To find the time when they work together, use the equation with their combined rate: 1/40 + 1/55 = 19/440
1 = 19/440 * t so t = 440/19 = 23 and 3/19 minutes or 23 minutes 9.47 seconds.
Write a two-column proof for the following information. Upload your proof below.
Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2
Answers
The required two column proof is explained below.
What is a midpoint?A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.
The two column proof for the information is given as:
M is the midpoint of CD (Given)
CD = CM + MD (addition property of a line segment)
CM = MD (definition of a midpoint)
So that;
5x – 2 = 3x + 2 (Definition of midpoint)#
Then,
5x - 3x = 2 + 2 (collecting like terms)
2x = 4
x = 2
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Select the equations below that are equivalent to -6 = -20 - v
Answers
Given
\(-6=-20-v\)- For -72 = 9(-20 - v):
\(\begin{gathered} -\frac{72}{9}=\frac{9(-20-v)}{9} \\ -8=-20-v \end{gathered}\)The equation is not equivalent
- For -90 = 15(-20 - v):
\(\begin{gathered} \frac{-90}{15}=\frac{15(-20-v)}{15} \\ -6=-20-v \end{gathered}\)The equation is equivalent
- For 5 * -6 = -100 - 5v:
Common factor 5
\(\begin{gathered} -30=5(-20-v) \\ \frac{-30}{5}=\frac{5(-20-v)}{5} \\ -6=-20-v \end{gathered}\)The equation is equivalent
- For 3 * -6 = -60 - 3v:
Common factor 3
\(\begin{gathered} -18=3(-20-v) \\ \frac{-18}{3}=\frac{3(-20-v)}{3} \\ -6=-20-v \end{gathered}\)The equation is equivalent
Answer:
-90 = 15(-20 - v)
5 * -6 = -100 - 5v
3 * -6 = -60 - 3v
Carson measured a line to be 2.2 inches long. If the actual length of the line is 2.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The percentage error of the measurement is 47.8%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The actual length of the line = 2.3 inches
The measured length of the line = 2.2 inches
The error length of the line.
= 2.3 - 2.2
= 1.1 inches
The percentage error of the measurement.
= 1.1/2.3 x 100
= 47.8%
Thus,
The percentage error of the measurement is 47.8%.
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struggling hard with probability questions, if anyone could help would be greatly appreciated, will give brainiest
Answers
The value of the probability is P(Large or Blue) = 7/10
How to evaluate the probability?The given parameters are represented on the table
Using the table parameters, we have
P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total
This gives
P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)
This gives
P(Large or Blue) = 28/40
Simplify
P(Large or Blue) = 7/10
Hence, the value of the probability is P(Large or Blue) = 7/10
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Find value of f(4) its on a graph so
Answers
the doubling period of a bacteria culture is 15 minutes initially the culture has 5000 bacteria determine the number of bacteria there will be after 1.5 hours
Answers
The number of bacteria after 1.5 hours is 320,000.
Given,
The doubling period of a bacteria culture is 15 minutes.
Initially, the culture has 5000 bacteria.
We need to determine the number of bacteria there will be after 1.5 hours.
We have,
The number of bacteria gets double every 15 minutes.
Number of bacteria at initial stage = 5000
In 1.5 hours we have 90 minutes.
1.5 hours = 1 hour and 30 minutes
1 hour = 60 minutes
1.5 hours = 90 minutes.
In 90 minutes we have 6 times 15 minutes.
First 15 minutes,
The number of bacteria would be = 2 x 5000 = 10,000
Now next 15 minutes,
10,000 x 2 = 20,000
Next 15 minutes,
20,000 x 2 = 40,000
Next 15 minutes,
40,000 x 2 = 80,000
Next 15 minutes,
80,000 x 2 = 160,000
Next 15 minutes,
160,000 x 2 = 320,000
We can also write it as 5000 x 2^6 = 320,000
Thus the number of bacteria after 1.5 hours is 320,000.
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A boat is heading towards a lighthouse, whose beacon-light is 131 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
5°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
Step-by-step explanation:
Assuming a flat earth
initial measurement
tan5 = 131 / d₁
d₁ = 131/tan5 = 1,497.3368... ft
d₂ = 131/tan21 = 341.2666674...ft
distance from A to B
1497.3368 - 341.26666 = 1,156.1 ft
Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.
Solve 2x + 4 = 10 solve for x.
Answers
2x+4=10 <=>
<=> 2x=10-4<>
<=> 2x=6/:2<=>
<=> x=3
Answer:
x=3
Step-by-step explanation:
put x alone by subtracting 10 by 4 and then dividing it by 2, which equals 3. Hope this helps :)
13➗209 cuánto es? Gracias
Answers
Answer: 0.0622009569378
Step-by-step explanation:
Find the Surface Area of the following figure. 9.5 m 16m 14m 12.7m 11m
Answers
The total surface area of the figure will be 1968.85 square meters.
To determine the surface area of the figure, we need to find the area of each face and then add them together.
Surface Area of the rectangular prism = 2(lb + bh + hl)
= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)
= 2(152 + 133 + 224) = 2(509)
= 1018 m²
Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:
Surface Area of the triangular prism;
= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)
= (154 + 350.35 + 445.5)
= 950.85 m²
Therefore, the total surface area of the figure will be;
Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism
= 1018 m² + 950.85 m²
= 1968.85 m²
So, the surface area of the figure is 1968.85 square meters.
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Use slope-intercept form, y= mx+b to find the equation of the line that passes through the points (-6,1) and (3,4).
Answers
The cast of the play had a party. The drama teacher served 20 cookies and 40 carrot sticks as refreshments. Each cast member ate the same number of whole cookies and the same number of carrot sticks. Nothing was leftover. The drama teacher did not eat. How many cast members must have been at the party?
Answers
Answer:
20 cast members
Step-by-step explanation:
Each cast member must've ate 1 cookie and 2 carrot sticks.
How many miles does he run in one year
Answers
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
Graph the linear equation. 3x - 4t = 12
Answers
A graph of the linear equation 3x - 4t = 12 has been plotted as shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.
Next, we would use an online graphing calculator to plot the relationship between the value of x and the value of t as shown in the image attached below.
In conclusion, a graph which represents the linear equation (3x - 4t = 12) does not represent or show a proportional relationship between the value of x and t because they didn't pass through the origin (0, 0).
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Please help! NO LINKS (Answer and explanation please :( )
Answers
Answer:
sum of angles in a quadrilateral is 360
Step-by-step explanation:
3x-15 +3x+15+y+30+D=360
hope that explanation helps
Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?
Answers
Answer:yes
Step-by-step explanation:66
The given statement A U (B - C) = (A U B) - C is true.
What is a set ?A set is collection of well defined objects.
According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.
Lets consider we have three sets A, B and C and we also consider they intersect each other.
( B - C ) represents the elements which belongs to B but not in C.
∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.
AND
( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.
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Multiply (-3) by (+1,4
Answers
The product (-3) * (1, 4) is (-3, -12)
How to multiply the numbers?The expression is given as:
(-3) * (1, 4)
Rewrite the expression as
(-3 * 1, -3 * 4)
Evaluate the product
(-3, -12)
Hence, the product (-3) * (1, 4) is (-3, -12)
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