9514 1404 393
Answer:
1012%: 4.8 L; 32%: 3.2 LStep-by-step explanation:
For mixture problems, I like to use a single variable to represent the quantity of the greatest contributor (greatest cost or greatest concentration). Let that variable be x.
1. In this problem, the amount of the greatest contributor is already fixed, so we'll use x for the amount of walnuts. The cost of the mix is ...
0.80x + 1.25(8) = 1.00(x +8)
2 = 0.2x . . . . . . . . . . . . . . . . . subtract 0.8x+8, simplify
10 = x . . . . . . . . . divide by 0.2
10 pounds of walnuts must be used.
__
2. The amount of acid in the mix is ...
12%(8 -x) +32%(x) = 20%(8)
20%(x) = 8%(8) . . . . . . . . . . . . subtract 12%(8)
x = 8(8)/20 = 3.2 . . . . . . . . . . divide by 20%
8-x = 4.8
3.2 liters of 32% acid must be mixed with 4.8 liters of 12% acid
_____
Comment on mixture problems
The general solution for mixture problems that have a greater contributor (G), a lesser contributor (L), and a mix value (M) is ...
g/l = (M -L)/(G -M) . . . . . . ratio of quantities of G and L
In the first problem, this becomes ...
8/l = (1.00 -.80)/(1.25 -1.00) = .2/.25 = 4/5 ⇒ l = 8(5/4) = 10
In the second problem, this becomes ...
g/l = (20-12)/(32-20) = 8/12 = 2/3 ⇒ g = (2/5)(8) = 3.2; l = (3/5)(8) = 4.8
In this case, we recognize that the ratio of 2 parts to 3 parts means that the greater contributor is 2 of 5 total parts.
x-( 26 + 4) = 65
x = ?
Jason needs to run 30 laps before basketball practice. His coach makes a deal with the team that on Friday’s they only need to complete 5/6 of that.
Write an expression or equation to represent the number of laps to complete on Friday.
Answer:
a little bit less than 30
Step-by-step explanation:
(a) Reflect the point (7, -9) across the y-axis:
(b) Reflect the point (7, -9) across the x-axis:
Answer:
(-7,-9) and (7,9)
Step-by-step explanation:7,-9 so we do across the x so you need a graph for this now x goes left so we plot the coordinates in the third box 7,-9 is in the 4 box so after we plotted that you can see it reflects.Now y coordinate since the y line goes up we plot the coordinates on top of the 4 box where our original coordinates stay now it should be 7,9 the y becomes positive which is 9.
This is not a web answer i answered myself took me some time!
Find the degree of the monomial.
4g
The degree is
which of the following is equivalent to (5)^7/3? 5^-4
5^4
^7squroot5^3
^3squroot5^7
Answer:
^7 squroot5^3
Step-by-step explanation:
5x2= 10
7÷ 3= 2.5
Please help!! will mark brainlyest!!!
find the measure of angle b
Answer all 4 please
Answer: 130, 43, 55, 27
Step-by-step explanation:
9) 130 / it's supplementary to 180
10) 43 / its vertical to 43 meaning its 43
11) 55 / will add up to 360 meaning b = 55
12) 27 / its a 90-degree angle with 63 degrees needing 27
You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assignments have you completed?
Answer:
45%
Step-by-step explanation:
Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%
45% because math said so
18÷40= .45
.45•100=45
The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.
Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
What is the answer????please helpp
Two figures have a similarity ratio of 5:8. If the volume of the smaller figure is 875 mm, what is the
volume of the larger figure in cubic millimeters? Solve and explain the process you used to solve the
problem
Answer:
Step-by-step explanation:
Plz help me.............
please help me i would really like the help
Answer:
HL
Step-by-step explanation:
Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.
Find IY if EY = 7.9
Can someone help?
Answer:
It kind of looks like the length of IY should be trippled (multiplied by 3 times) by EY so 3 x 7.9 = 23.7 I THINK it's 23.7
Wait for more responses if needed.
3 Mr. Howell runsmile in 6 minutes. Mr. Samuels runs 15 miles in 9 minutes. Whose speed is
greater? Explain.
4
HELPP
Answer:
Mr. Samuels
Step-by-step explanation:
Mr samuels runs a mile in 36 seconds, which is much faster than Mr. Howell.
90 is 75% of what number
Answer:
120
Step-by-step explanation:
90 x 100 ÷ 75 = 120
At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings? Explain or show your reasoning. Use whatever strategy you would like.
Answer: 15%
Step-by-step explanation:
The usual price is $80.
This week however, the set sold for $12 less than this usual price of $80.
Savings therefore are $12 because people save $12 by buying it at $12 off.
Percentage of usual price:
= Savings / Usual price * 100%
= 12 / 80 * 100%
= 0.15 * 100
= 15%
ANOTHER ONE 3 HELP ME AGAIN BEFORE TIME RUNS OUT.
Answer:
the answer is parallel lines
12+c=n, 1.2+1c=0.25n
What is the solution to the equation: 37x=9x+4
Answer: X = 1/7
Step-by-step explanation:
37x = 9x + 4
subtract 9x to both sides
28x = 4
now divide by 28
x = 4/28
simplified its
x = 1/7
Answer:
28x=4
x=1/7
Step-by-step explanation:
First you would make simplyfiy the expression so that you would have x on one side, when you do that you will get 28x=4. When simplyfied you will get 1/7.
Z-8-22
z equals what
Answer:
z=30
Step-by-step explanation:
Graph a line with a slope of 2 that goes through the point (4, 8).
To graph a line, plot two points on the line.
Answer:
Step-by-step explanation:
Kim spent $44 on eating utensils. Spoons cost $4 and forks cost $6. If she bought a total of 9 utensils then how many of each kind did she buy?
Answer:
3 spoons and 6 forks
Step-by-step explanation:
9 = x + y; x= 9-y
44 = 4x + 6y
44 = 4(9-y) + 6y
44 = 36 - 4y +6y
44 = 36 +2y
2y = 44-36 = 12
y = 12/2 =6
x= 9-y = 9-6 =3
this is a algebra question, please help if you can
9514 1404 393
Answer:
(c) output increases, then decreases ...
Step-by-step explanation:
The given function is quadratic, so it has a turning point. Neither linear nor exponential functions have a turning point, so are always increasing or decreasing.*
The second attachment shows a plot of the function with input on the x-axis and output (area of the rectangle) on the y-axis.
_____
* A linear function that is a horizontal line will be neither increasing nor decreasing.
what is the common difference of the arithmetic sequence -7,-4x,-x,2x,5x
Help asap please
Answer:
-7 — -4=-3
so the common diff.
-3.
Step-by-step explanation:
hopr helps
Help PLZ its timed!!!!!!
Answer:
Hello the answer is the last one (x ^16 y ^22 )
To solve this just simplify
Hope This Helps :)
What is /-3/*-6?
When you answer could you please explain to me why the answer is that?
Jack has a rectangle garden that measures 4 feet wide by 3 feet long he wants to increase the area to 56 feet
Answer:
then you would have as length or width 8 by 7 feet, or any other factors of 56 as the width or length. Since you want to increase the area.
BRAINLIEST WILL BE GIVEN: (25 pts) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?
Answer:
1222
Step-by-step explanation:
i need help with geometry!
Answer:
The answer is 142°.
Step-by-step explanation:
We know this because corresponding angles are always congruent. Thus, in the parallel lines m || n (with the transversal) a corresponding angles is exampled. Nonetheless, x would be equal to 142°.
Am I correct? >.<
Hopefully I helped! :)
a) Work out the size of angle x.
C
A
to
b) Give reasons for your answer.
В B.
E
F
105
Н
G
Answer:
[tex] x = 75\degree [/tex]
Step-by-step explanation:
[tex] m\angle EFB +105\degree = 180\degree [/tex]
(linear pair angles)
[tex] m\angle EFB = 180\degree - 105\degree [/tex]
[tex] m\angle EFB = 75\degree [/tex]
[tex] \because x = m\angle EFB [/tex]
(corresponding angles)
[tex] \therefore x = 75\degree [/tex]