The number of pounds from one alloy is 2.71.
The number of pounds from another alloy is 39.29.
What is an equation?An equation is a mathematical statement of two expressions connected by an equal sign.
We have,
x = pounds from one alloy
y = pounds from the second alloy
Two equation.
28% of x + 59% of y = 30% of 42
0.28x + 0.59y = 0.30 x 42 ______(1)
x + y = 42 _____(2)
Now,
x = 42 - y ________ (3)
Putting (3) in (2)
0.28(42 - y) + 0.59y = 0.30 x 42
11.76 - 0.28y + 0.59y = 12.6
11.76 + 0.31y = 12.6
0.31y = 12.6 - 11.76
0.31y = 0.84
y = 2.71
Now,
x = 42 - y
x = 42 - 2.71
x = 39.29
Thus,
The number of pounds of each alloy is 2.71 and 39.29.
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On a field trip, there are `3` chaperones for every `20` students.
There are `92` total people on the trip.
How many chaperones?
How many children are there?
Answer: 12 Chaperones, 80 Students
Step-by-step explanation:
92 total - 12 chaperones = 80 students
3 Chaperones per 20 students, sizing that up by 4 you get 12 and 80.
David was asked to solve the problem below:
If a = 5x - 4 and b = 3x, what is the value of a - b?
David used the steps below to solve the problem
Step 1: a - b
Step 2: (5x-4) - 3x
Step 3: 5x-4-3x
Step 4: -2x
Determine whether David's solution is correct. If he is correct, show the work that proves he is
correct. If he made an error, explain what he should have done instead, and provide the correct
solution.
Answer:
not correctStep 4: 2x -4Step-by-step explanation:
You want to know if David's solution of -2x for (5x-4) -(3x) is correct, and what David should have done.
SolutionDavid's solution is correct up to Step 4.
At that point, it appears as though David treated -4 as if it were -4x. The constant cannot be combined with x terms. Step 4 should have been ...
Step 4: (5 -3)x -4 = 2x -4
David's incorrect solution should have been 2x -4.
Laws of Exponents with Integer Exponents
What is the value of {(-1/3)}⁻³ ?
19,683
1
-1
-19,683
The value of the expression ((-1/3)^3)^-3 is option (D) -19683
The given expression is
((-1/3)^3)^-3
The exponent is defined as the number of times the number is multiplied by its self. If the exponent is a^m, then the number a is multiplied m times
According to the power of the power rule is
(a^m)^n = a^(m×n)
We have to apply the power of the power rule in this question
((-1/3)^3)^-3 = (-1 / 3)^(3 × -3)
Multiply the numbers
=(-1 / 3)^-9
We know
(1/a)^-b = a^b
Then the terms will become
= -3^9
Find the power of the number
= -19683
Therefore, the result is -19683
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during dry weather the water level in a river drops by 2.6 inches each day for 4 days which expressions can represent the total change in water level in inches choose all that apply
Answer:
Step-by-step explanation:..:&:&:&:
The answer to this Question related to Water Level is 10.4 inch
What is water level?
It is mark for safe amount of water in seas oceans etc and which is safe for Humans and Nature but sometimes due to heavy rains water level increase that is not good most of the times
Solution:
Here we can see water level rise per day = 2.6 inch
and rain continued for 4 days
hence after 4 days total water level reached = 2.6(4) = 10.4 inches
If rain would continued more than water level would've increased more
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Noah has $200.00 He spends $ 120.00 on a new coat . What percent of his money does Noah spend on his new coat.
Answer:
Step-by-step explanation:
120/200=.6(100)
=60
Pls help its urgent solve it
Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x+2}=-2 \\ \\ x+2=-8 \\ \\ x=-10[/tex]
Find m
(9x - 17)
(4x + 28)
The angle measurement of T is 80°.
What is an angle measurement?When two lines or rays intersect at a common point, an angle is formed. The common point is referred to as the vertex. An angle measure in geometry is the measurement of the angle formed by two rays or arms at a common vertex.Here given,
∠Q = (9x - 17)°
∠R = (4x + 28)°
Since ∠Q and ∠R are co-interior angles in parallel lines.
∠Q + ∠R = 180°
So,
(9x - 17) + (4x + 28) = 180°
= 9x - 17 + 4x + 28 = 180°
By adding x variables together,
13x + 11 = 180°
=> 13x = 180°-11
=> x = 169° ÷ 13
x = 13
By substituting x,
∠Q = 9 x 13 - 17
= 117 - 17
= 100°
∠Q + ∠T = 180° (angles on a straight line is 180°)
100 + ∠T = 180°
∠T = 180 - 100
∠T = 80°
Therefore the value of ∠T is 80°.
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Graph a triangle ABC and perform a translation of (x + 4, y - 3) to create triangle A'B'C'.
1. Describe the transformation using words. Make sure you refer to the characteristics
and the coordinates.
2. Draw a line through points A and A' and through points B and B'. What do you
notice about the lines you drew? Do you think you would notice the same
characteristics if you drew another line through points C and C'? How do you know?
1. The translation was of 4 units right and 3 units down.
2. All the blue lines connecting the equivalent vertices will have a slope of -3/4.
What is the translation?
The translations of the triangle is given by the rule presented as follows:
(x,y) -> (x + 4, y - 3).
Hence the meaning of each of these translations is given as follows:
x -> x + 4 is a translation of four units right.y -> y - 3 is a translation of three units down.The coordinates of the original vertices are given as follows:
(0,0), (0,4), (3,0).
Then the coordinates of the translated vertices are given as follows:
(4,-3), (4,1), (7,-3).
For a linear function, the slope is given by the vertical change divided by the horizontal change.
From these translations, the changes are given as follows:
Vertical change of 3 units down, hence of -3.Horizontal change of 4 units right, hence of +4.Thus the slope of the linear function connecting the original vertices are given as follows:
m = -3/4.
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- Using Eddie's time card, find his total pay for the week if his overtime rate is 2 times his regular hourly
rate of $17.25 per hour for a regular 37-hour week.
The expression that represents Eddie's pay for the week including overtimes are 34.5x + 638.25.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Assuming the no. of extra work hours to be 'x'.
He has a regular work hour of 37 which pays him $(17.25×37) = $638.25.
And his overtime rate is twice his regular rate which is $(2×17.25)
= $34.5.
Therefore, His total pay for the week including his overtime is,
= 34.5x + 638.25 and we can replace x with the given values in the chart
to find his pay for the week.
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Which trigonometric ratio will not have the same value as sin A?
A.
COS A
B.
sin C
C.
tan C
D.
COS C
Answer: sin
Step-by-step explanation:
1) Give an example of a system of linear equations.
3x + 2y = 18
2x + 5y = 14 are both linear equations
The system of linear equations in two variables is an equation with two different variables. Any equation with different variables can be in this system.
The solution for this type of equation by solving and getting two different values for both x and y but the same values are used in both equations.
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What is the slope of the line that passes through the points (6, -5) and (−6,−5)?
Slope of the line having passing points (6,-5) and (-6,-5) is 0.
What do you mean by slope of the line?
A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Hence, the change in y-coordinate with regard to the change in x-coordinate is given by,
m = change in y/change in x
Given passing points :
(6,-5) and (-6,-5)
Slope of the line having passing points (x,y) and (a,b) is given by [tex]\frac{b-y}{a-x}[/tex]
Slope of the line become , [tex]\frac{-5+5}{-6-6}[/tex] = [tex]\frac{0}{-12}=0[/tex]
Therefore, slope of the line having passing points (6,-5) and (-6,-5) is 0.
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HELP ASAP PLEASE IVE BEEN WAITING ONE HOUR ILL GIVE BRAINLIEST
Question below
Find 3M + 7N. M= [2,-3],[0,6] and N=[-5,-1],[2,9]
The value of 3M + 7N will be;
⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ M = [tex]\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right][/tex]
⇒ N = [tex]\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right][/tex]
Now,
The value of 3M + 7N will be;
⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]
Thus, The value of 3M + 7N after simplification is;
⇒ 3M + 7N = [tex]\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right][/tex]
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A box of nails weighs 1 5/8 pounds. Mark used 3 1/3 boxes of nails to build his treehouse
How many pounds of nails did Mark use?
I NEED HELPP
1. Graph the numbers on the number line
1. Use <, > or = to compare
2. Graph the numbers on the number line
3. Use <, > or = to compare
4. Write in order from least to greatest
5. Write in order from greatest to least
Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.
Define comparing.Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.
Given,
Comparing the following using <, > or = ,
Numbers:
√17 and 29/7
For √17
Simplifying,
√17 = 4.123
For 29/7
29/7 = 4.14
√17 < 29/7
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If I have 24 pounds of food and each meal I eat 3/8 pound
How many meals will I get.
By using the concept of fraction, it can be calculated that
I will get 64 meals
What is a fraction?
Suppose there is a collection and a part of a collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.
This is a word problem on fraction
Weight of 1 meal = [tex]\frac{3}{8}[/tex] pounds
Total weight of meal = 24 pounds
Number of meals I will get = [tex]24 \div \frac{3}{8}[/tex]
= [tex]24 \times \frac{8}{3}[/tex]
= 64
I will get 64 meals
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Which table shows a proportional relationship between x and y?
We can consider that table (A) shows a proportional relationship of 7/1.
What is the proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal.
Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value.
The "constant of proportionality" is the name of this constant.
So, consider the tables as follows:
Table A:
7/1
14/2 = 7/1
28/4 = 7/1
35/5 = 7/1
Proportional relationship: 7/1
Now, we don't need to calculate further.
Therefore, we can consider that table (A) shows a proportional relationship of 7/1.
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How can you find the value of y?
9y = 27
NE
O
i
B.
?
Add
Subtract
Multiply by
Divide by
A ?
on both sides.
Answer:
Step-by-step explanation:
Divide 9 on both sides and you'd get y=3
100 points and will mark brainlest
The slope of the line in the function is 1
Slope of LineThe slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
m = y₂ - y₁ / x₂ - x₁
Taking two points;
P = (5, 0)Q = (3, -2)Substituting the values into the formula;
m = -2 - 0 / 3 - 5
m = -2 / - 2
m = 1
The slope is calculated as 1
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Answer
Question for me please
Answer:
y=8/11x-2
Step-by-step explanation:
in y=mx+b, the m= the slope, and the b=the y-intercept
help!!
1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot
per day. Write an equation for the water level.
Equation:
X represents:
Y represents:
In how many days will the water level be 26 feet?
Answer:5 days.w<0.5*34x
Step-by-step explanation:
The y-intercept of the function f(x) = :
2/3[x| + 4 is (0,4). If the
function is translated down 9 units, what will be the new y-intercept?
The new y-intercept of the function is (0. -5)
How to determine the new y-intercept?From the question, we have the following parameters that can be used in our computation:
f(x) = 2/3|x + 4}
y-intercept = (0. 4)
The function is translated by
9 units down
This is represented as
(x, y) = (x, y - 9)
Substitute the known values in the above equation, so, we have the following representation
New y-intercept = (0. 4 - 9)
Evaluate
New y-intercept = (0. -5)
Hence, the new y-intercept = (0. -5)
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During the _________________ stage, kids develop the ability to take in other people’s perspective and begin to make cause-and-effect connections between events in their surroundings.
Answer:
Concrete Operational Stage or Perceptive thinking
HELP AGAIN PLEASE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
4/6 and 1/6
Step-by-step explanation:
6 is the least common denominator found by multiplying 3 by 2
ASAP HELPPP!!
Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.
If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?
A. t(n) = 20 + 60n
B. t(n) = 60 + 20n
C. t(n) = 200n
D. t(n) = 200
Answer:
A. t(n) = 20 + 60n
Step-by-step explanation:
$20 is the money Rob had before washing windows.
He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.
n = the number of weekends
the total amount of dollars he will have is 20 + 60n
Answer:A. t(n) = 20 + 60n
Step-by-step explanation:
$20 is the money Rob had before washing windows.
He earns $60 in each of the first three weekends. So he gains an additional $60 for each weekend.
n = the number of weekends
the total amount of dollars he will have is 20 + 60n
cos (x + 16) = sin(3x – 2)
Answer:
x = 19
Step-by-step explanation:
So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°
Use this idea to set up an equation.
x + 16 + 3x - 2 = 90
Combine like terms.
4x + 14 = 90
Subtract 14.
4x = 76
Divide by 4.
x = 19
x = 19
If you are kooking for the angles:
x + 16
= 19 + 16
= 35
and
3x - 2
= 3(19) - 2
= 57 - 2
= 55
Check: 35 + 55=90
Also,
cos35 = sin55
HELPPPPPPPPP ME PLEASEE
Answer: 18/24 and 10/24
Step-by-step explanation:
The length of Benson’s desk is 6 feet. Which of the following illustrations is drawn to a scale of 1 centimeter = 3 feet?
Answer: 2 cm
Step-by-step explanation:
2 x 3 = 6
Please help me with this I’m stuck on this and you can get 100 points while your at it.