Answer:
The first solution must have 0.6 l and the second one 0.4 l.
Step-by-step explanation:
The volume of the first solution will be called "x", while the one from the second will be "y". The salt content on the first solution is "0.0006*x", while the salt content on the second solution is "0.0021*y", and the sum of these two values must be the same as the one in the final solution, so we have:
0.0006*x + 0.0021*y = 0.0012
And the sum of volumes must be equal to 1 liter.
x + y = 1
We have the equation system:
x + y = 1 (1)
0.0006*x + 0.0021*y = 0.0012 (2)
Isolating the "x" variable in the first equation and applying it in the second we have:
x = 1 - y
0.0006*(1-y) + 0.0021*y = 0.0012
0.0006 - 0.0006*y + 0.0021*y = 0.0012
0.0015*y = 0.0006
y = 0.0006/0.0015 = 0.4
x = 1 - 0.4 = 0.6
The first solution must have 0.6 l and the second one 0.4 l.
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Find the total circumference
C = pi x d
d = r x 2
d = 5 x 2 = 10
C = pi x 10 = 10pi
Step 2) Find 1/4 of the circumference
10pi / 4 = 2.5pi = 7.85
Step 3) Add the two radii sides to the 1/4 circumference
7.85 + 5 + 5 = 17.85
C = 17.85 feet
Hope this helps! :)
Answer:
17.85ft
Step-by-step explanation:
the quarter circle is 90 degrees, so use this to find the length of the arc (the curve), by doing:
[tex]\frac{90}{360}[/tex]x2x3.14x5
this will give you the answer of 7.85 ft
once you got the length of the arc, add 10 (the two radiuses), to get 17.85ft
hope this helps
Choosing a career means you also need to think about your ________ ________ .
Answer:
Life Path
Step-by-step explanation:
It's two words, and they are both of equal length. I hope that helps.
Here are 3 and 4 the only ones left!!
Answer:
the five is not is left in the diagram
What is the main intent of this report? to explain the services of Fast Pax to convince people to ship using Fast Pax to convince people to work for Fast Pax
The third option is the answer
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
taking it right now
AWARDING BRAINLIEST! Please help me!
Pythagorean Theorem
Answer:
B= 21
Step-by-step explanation:
A^2 + B^2 = C^2
72^2 + B^2 = 75^2
Solve for B
B = 21
y to the power of 3=64
Answer:
y=4
Step-by-step explanation:
4*4*4=64
[tex]4^{3}[/tex]=64
Answer:
y = 4
Step-by-step explanation:
y^3 = 64
Rewriting 64 as 4^3
y^3 = 4^3
When the powers are the same, the bases need to be the same
y = 4
Skylar and her children went into a movie theater and will buy bags of popcorn and pretzels. Each bag of popcorn costs $8 and each pretzel costs $3.25. Skylar has a total of $80 to spend on bags of popcorn and pretzels. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of pretzels purchased, p.P.
Answer:
[tex]8b+3.25p\leq 80[/tex]
Step-by-step explanation:
Each bag of popcorn costs $8
Each pretzel costs $3.25.
The total cost of b bags of popcorn =$8*b=$8bThe total cost of p pretzels purchased =$3.25*p=$3.25pSkylar has a total of $80 to spend on both items. This means that she can either spend less than or exactly $80.
i.e Total Cost [tex]\leq \$80[/tex]
Skylar's Total cost on popcorns and pretzels =8b+3.25p
Therefore:
[tex]8b+3.25p\leq 80[/tex]
Therefore, an inequality that would represent the possible values for the number of bags of popcorn purchased, b, and the number of pretzels purchased, p will be:
[tex]8b+3.25p\leq 80[/tex]
please help me out here !
Answer:
(a) options 1 and 4
(b) option 1 only
Step-by-step explanation:
Concept to learn:
REFER TO PICTURE ABOVE:
- means negative
+ means positive
(a) 9/-8 can be viewed as +/- = -. Hence any fraction that yields a overall negative value is the answer.
(b) - 5/-9 can be views as - /- = +. Hence, any fraction that yields a positive value is the answer.
Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle measure of 180 degrees, what is the measure (in degrees) of Angle M?
Answer:
150 degrees
Step-by-step explanation:
Let's start off by looking at what we are working with in this specific problem:
We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)
Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.
Now that we've got all of that out of the way, let's set up a simple algebraic equation:
angle L + angle M = 180
We also know that angle L is 30 degrees so let's add it into the equation we have just created:
30 + angle M = 180
We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.
180 - 30 = angle M
Now we are left with:
150 degrees = angle M
Is the square root of 2 rational or irrational?
Answer:
irrational
Step-by-step explanation:
√2 is irrational
Answer:
It would be and irrational number!
Which is the graph of the equation y = 3x – 5?
Answer:
Step-by-step explanation:
Next time please share the answer choices. Here we have a straight line graph with y-intercept (0, -5) and slope of m = 3. The x-intercept is (5/3, 0).
A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point. The x-intercept is (5/3, 0) and slope is 3.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
The standard form of a straight line is y=mx+c.
A slope of a line is the change in y coordinate with respect to the change in x coordinate
where m is the slope and c is the y intercept.
Here we have a straight line graph with y-intercept (0, -5)
and slope of m = 3.
The x-intercept is (5/3, 0).
Hence the x-intercept is (5/3, 0) and slope is 3.
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Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out -12 inch squares from each corner. The length of the original piece of cardboard is 24 inch more than the width. If the volume of the box is 1740 inch , determine the dimensions of the original piece of cardboard.
Answer:
29 feet in length, 5 feet in width and 12 feet in height
Step-by-step explanation:
We have that for the volume of a quadrangular prism is:
V = l * w * h
Ie length times width times height
In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12
they tell us that the length is 24 inches more than the width, that is, l = 24 + w
replacing we have:
1740 = (24 + w) * w * 12
1740 = 12 * w ^ 2 + 288 * w
12 * w ^ 2 + 288 * w - 1740 = 0
if we calculate the root, we have w = 5 or w = -29
only works when w = 5
Thus:
l = 24 + 5
l = 29
which means that the dimensions are:
29 feet in length, 5 feet in width and 12 feet in height
29 feet in length, 5 feet in width and 12 feet in height
The calculation is as follows;
The volume of a quadrangular prism is:
[tex]V = l \times w \times h[/tex]
The length is 24 inches more than the width,
So l = 24 + w
Now
[tex]1740 = (24 + w) \times w \times 12\\\\1740 = 12 \times w ^ 2 + 288 \times w\\\\12 \times w ^ 2 + 288 \times w - 1740 = 0[/tex]
if we calculate the root, we have w = 5 or w = -29
only works when w = 5
So,
l = 24 + 5
l = 29
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The volume of the sphere is
500
- cubic units.
What is the value of x?
4 units
5 units
8 units
10 units
The answer is 5 units
Step-by-step explanation:
Kachow
The endpoints of segment TU are T(-8, 4) and U(6, -1). Calculate the coordinates of the midpoint, M. *
Answer:
The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).
=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1
=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2
=> M(-1, 3/2)
Hope this helps!
:)
Answer:
( -1, 3/2)
You insert your variables into the midpoint formula in order for you to get the right answer
PLEASE HELP!!! WILL MARK BRAINLIEST!!! :)
Answer:
[tex]\frac{5(x-2)}{x+1}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{5(x-2)}{x+1\\}[/tex]
Step-by-step explanation: pls mark me brainliest if you think i am. i need it to level up!!
can anybody figure this question out cause I can't figure it out.
Answer:
there is no change because it is a circle
At a baseball game, 20% of people attending were supporting the home
team, while 80% were supporting the visiting team. If the total number
of people attending the game was 2500, how many people attending
were supporters of the home team?
Answer:
500
Step-by-step explanation:
500/2500=20%
Answer:
500 people
Step-by-step explanation:
That would be 20% of 2500 people, or 500. Alternatively, write 0.20(2500), which also results in 500.
The sum of the height and the radius of the base of cylinder is 34cm. If the total surface area of the cylinder is 2.992cm^3. Find radius
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
Answer:
0.014 cm .
Step-by-step explanation:
I am assuming that it is a closed cylinder whose total surface area.
Area = 2πrh + 2πr^2
Let the radius be r and the height h, then we have the equations:
r + h = 34
2πrh + 2πr^2 = 2.992
From the first equation h = 34 - r, so substituting for h:
2πr( 34 - r) + 2πr^2 = 2.992
2πr^2 + 68πr - 2πr^2 = 2.992
68πr = 2.992
r = 2.992 / 68π
r = 0.014
Will give Brainyist answer quick
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3).
A Is congruent to B and B Is congruent to C
A Is congruent to A, B Is congruent to B, C Is congruent to C
Each triangle is a right triangle.
Each triangle is an isosceles triangle.
Answer
The answer is a is congruent to b and b is congruent to c.
Step-by-step explanation:
a=b, b=c therefore a=c
Answer:
Credit to the person above me,
A.) A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Edge 2021
help me out here! I’ll give you brainliest!!
Answer:
3/10 || 7/10
Step-by-step explanation:
Answer:
30%
70%
Plz mark me brainliest
Step-by-step explanation:
Last year 90 schools participated in the State Spelling Bee. This year there were 20%
more schools participating than last year. How many schools participated in the spelling
bee this year?
Enter your answer in the box.
schools
Answer:
108 participating schools
Step-by-step explanation:
Number of participating schools last year: 1.00(90 schools)
+20% more: +0.20(90 schools) (Increase over last year)
-------------------------------------------
New count: 1.20(90 schools) = 108 participating schools
108 schools participated in the spelling bee this year.
What is percentage ?
Percentage is a ratio in the form of fraction of 100.
Percentage is defined by the "%" symbol.
How to find the required result ?According to the problem, In last year 90 schools participated in the state spelling bee.
This year 20% more schools are participating than last year.
So, Number of increased schools = 20% of 90
= ([tex]\frac{20}{100}[/tex]×90)
= 18
∴ Number of schools participated this year = 90+18 = 108
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Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen? 40% 50% 60% 70%
Answer:50 %
Step-by-step explanation:
Given
There are 4 girls and 6 boys in a club
Probability of choosing 1 girl and 2 boys is
[tex]=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}[/tex]
No of ways of choosing 1 girl and 2 boys[tex]=^4C_1\times ^6C_2[/tex]
[tex]P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}[/tex]
[tex]P=\dfrac{4\times 15}{10\times 3\times 4}[/tex]
[tex]P=\dfrac{15}{30}=\frac{1}{2}[/tex]
i.e. [tex]50\%[/tex]
The probability that one girl and two boys will be chosen from the Spanish club is 50%.
What is the probability?Probability is used to determine the odds that an event would happen. If the event would happen with certainty, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.
The probability = number of ways of choosing 1 girl and two boys / number of ways of choosing 3 people
(4x15) / (10 x 3 x 4) = 15/30 = 1/2 = 50%
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The total cost for electricity use in a school in January was 44277·6 pence. Write this in £, giving your answer to the nearest penny.
Answer:
£442.78
Step-by-step explanation:
There are 100 pence in 1 Pound (£)
We want to determine the value of 44277·6 pence in pounds.
Expressing it as a ratio
100:1 = 44277·6:x
[tex]\dfrac{100}{1}=\dfrac{44277.6}{y} \\$Cross multiply\\100y=44277.6\\Divide both sides by 100\\\dfrac{100y}{100}=\dfrac{44277.6}{100}\\y=442.776\\y=\£442.78$ (to the nearest penny)[/tex]
44277·6 pence=£442.78 (to the nearest penny)
Answer:
The amount in pounds ≈ £ 442.78
Step-by-step explanation:
The total cost of the electricity in the school in January was 44277.6 pence. The cost of the electricity bill in pounds can be represented below.
Let us find the number of pence that makes a pounds (£).
1 pence sterling = £ 0.01
44277.6 pence = ?
cross multiply
44277.6 × 0.01
44277.6 × 0.01 = 442.776 pounds
The amount in pounds = £442.776
Rounding to the nearest penny ≈ £442.78
Larry played the drums for 3 and 1/8 hour each day while five day band camp also played the marimba 1 and 3/5
hours on two of those days. How much time did Larry spend playing the drums and marimba during band camp?
hours
(Enter all mixed numbers as x y/z.)
Answer:
20 23/24 hours
Step-by-step explanation:
5*(3 1/8)+2*(1 3/5)
5*(25/8) + 2*(8/3)
125/8 + 16/3
375/24 + 128/24
=503/24
=20 23/24
Reuben would like to buy sports car that cost $35,000 today when he graduates from college in five years if the rate of information is expected to be 3% per year over the next five years how much wood Ruben expect to pay for a similar sports car in today's dollars
Answer:
$40,250Step-by-step explanation:
Amount he will pay in the next five years = Principal + Interest
Given Principal = $35,000
Simple Interest = PRT/100
R is the rate = 3%
T is the time in years = 5years
SI = 35,000 * 3 * 5/100
SI = $5,250
Amount = $35,000 + $5,250
Amount = $40,250
Ruben will have to pay $40,250 after 5years
Answer:
Reuben would pay $40574.59 in 5 years time
Step-by-step explanation:
The present value of the car, P = $35,000
Rate per year, R = 3% = 0.03 (Note that the rate is given per year and not for the whole 5 years, this means that the rate cannot be used over a period of 5 years)
Amount = P + RP = P (1 + R) = P ( 1+0.03)
Amount = 1.03P
Total time = 5 yrs
After year 1:
A = 1.03 * 35000 = $36,050
After year 2:
A = 1.03 * 36050 = $37,131.5
After year 3:
A = 1.03 * 37131.5 = $38,245.445
After year 4:
A = 1.03 * 38,245.445 = $39,392.808
After year 5:
A = 1.03 * 39,392.808 = $40574.59
Choose the graph of the inequality x >2
Step-by-step explanation:B
Answer:
The first graph
Step-by-step explanation:
What is the range of the number of points scored?
A 66
B 9
C 75
D 13
The numbers are
75, 64, 63, 68, 62, and 71,
Please
Answer:
I think it is A, I might be wrong.
Step-by-step explanation:
i know the answer im just not sure if its right
Answer:
D) 2 feet cubed.
Step-by-step explanation:
Area for a rectangular prism is LWH.
1 * 1 * 2 = 2 feet cubed.
Which of the following is true of (1, 4) and (1, −7)?
More information is needed to determine the relationship between the two points.
The points lie on a diagonal line.
The points lie on a vertical line.
The points lie on a horizontal line.
Answer:
The points lie on a vertical line.
Step-by-step explanation:
The x-values in the given two points are the same. If they were graphed and then connected, it would form a vertical line.
[see graph]
So, the points would lie on a vertical line.
Which of the following are correct names for the line? SELECT ALL THAT APPLY.
A. CA
B. AC
C. AB
D. CB