Answer:
You need two equations: one for solution amounts and one for alcohol amounts.
Step-by-step explanation:
90 = X + Y
45 = (0.6)/X + (0.3)Y
Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.
From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get
X = 30 liters and Y = 60 liters.
A man wants to zipline from the top of a 20 meter building to an island 50 meters away. How long does the zipline wire need to be?
Answer:
50 meters
Step-by-step explanation:
the island is 50 meters away
Answer:
About 54 meters or 53.8 meters
Step-by-step explanation:
Pythagorean theorem a^2+b^2=c^2
20^2+50^2=53.8^2
what is -5x^2+7x+1 from 8x^2+x-10
Answer:
13x^2 - 6x -11
Step-by-step explanation:
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
(2, -1)
Step-by-step explanation:
I just plugged (y-x<-3) into desmos (if you haven't used desmos, use it. Its a lifesaver) and the only coordinate pair that was part of the line, is (2,-1)
Hope that helps!
Answer:
(6,2)
coz if y=2 & x=6
then substitute in to the equation
and we get 2-6=-4
so -4 is less than -3; in number line. thats it!!!!!
Tim and Joey share a 20-ounce box of cereal. By the end of the week, Tim has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answer:
1/10
of the box is left
so 2 ounces are left
Step-by-step explanation:
Jeremy swims 10 laps in 15 minutes. How many laps is that per minute?
The number of laps per minute is given by equation A = 2/3 laps per minute
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of laps per minute be represented as A
Now , the value of A is
The total number of laps = 10 laps
The total time for 10 laps = 15 minutes
So , the number of laps per minute = number of laps / total time for 10 laps
On simplifying the equation , we get
The number of laps per minute A = 10 / 15
The number of laps per minute A = 2/3 laps per minute
Hence , the number of laps per minute is ( 2/3 ) laps
To learn more about equations click :
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Which correctly renames
7
8
and
5
6
using a common denominator?
A.
42
48
and
40
48
B.
42
48
and
30
48
C.
14
16
and
15
18
D.
28
24
and
20
24
Answer:
a
Step-by-step explanation:
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 17 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=3+177-1612
Find all values of t for which the ball's height is 7 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 = || seconds
DO
X
?
initial
height
ground
Answer:
what you should be asking is what the color of the balls are and if their juicy
my friend needs help with this can someone help
Answer:Sorry
Step-by-step explanation:
Hi would help but i dont know and im not in collage sorry.
Pedro uses shapes to make a funny animal. Which best tells about the
shapes in Pedro's animal?
Answer:
The sides of all the shapes are straight
Step-by-step explanation:
Pedro animal has the shape of a horse. The animal is made up of different shapes, we can see that the shapes Pedro animal is made up of consist of two triangles, three rectangles and a hexagon.
All this shapes mentioned above (triangle, rectangle and hexagon) that are used in making this animal have sides with straight edges. Therefore the sides of all the shapes are straight.
What's 6x5 need help plaz
Answer:
30
Step-by-step explanation:
It is easier if you do 5 six times for example
5, 10, 15, 20, 25, 30
Hope this helps ;)
Can someone please help me write an equation for this graph? This is a different one.
Answer:
The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:
[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]
According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:
[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]
Help please I really need it
Answer:
angle 1 and angle 3
Can somebody help me find the mean,median, and mode
Answer:
so for the mean u add all the numbers on there and then divide it by 5 since there are 5 numbers on there so 78+84+100+78+81=421 now we divide 421 by 5 so 421÷5= 84!
now the median would be 100? and the mode is 78 since 78 is the number that showed the most!
help i don't understand plz help
Answer:
naruto
Step-by-step explanation:
rasengan
4r + 17 = 23. here is a diagram and its corresponding equation. find the solution to the equation and explain your reasoning.
Answer:
r=1.5
Step-by-step explanation:
4r+17=23 *Subtract 17 from each side
4r=6 *Divide both sides by 4
r=1.5
This cylinder has a volume of 121 cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
Answer:
Volume 6082.12338 cm3
Step-by-step explanation:
The sum of two numbers is 240. If one number is twice the other number, find the two numbers?
Answer:
160 and 80
Step-by-step explanation:
Answer:
60 and 120
Step-by-step explanation:
60*2=120
120+120=240
Write a linear expression in simplest form to represent the perimeter of the trapezoid below. Then find the perimeter if the value of x is 6 yards. (7x + 3) yd (6x + 3) yd (6x + 3) yd (5x) yd
Answer:
(24x+9)yd
153yd
Step-by-step explanation:
The perimeter is the sum of all the sides, so put all the sides together.
(7x+3)+(6x+3)+(6x+3)+(5x)
7x+6x+6x+5x+3+3+3
24x+9
IF x=6:
(24(6)+9)yd
(144+9)yd
153yd
What’s the anwser for this. I’m so confused
Answer:
Its A
Step-by-step explanation:
I don’t know either I’m currently looking for the answer
What is the value today of a $12,000 cash flow expected to be received seventeen years from now based on an annual interest rate of 7%?
0 $3,799
O $5,888
0 $4,749
O $37,906
Answer:To find the present value of a cash flow expected to be paid or received in the future, you will ??? the future value cash flow by (1 + I)NN.
-divide
-multiply
What is the value today of a $12,000 cash flow expected to be received 17 years from now based on an annual interest rate of 7%?
-$3,799
-$3,039
-$37,906
-$4,749
Your broker called earlier today and offered you the opportunity to invest in a security. As a friend, she suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be:
-Everything else being equal, you should invest if the current cost of the security is greater than the present value of the security’s expected future cash flows.
-Everything else being equal, you should invest if the present value of the security’s expected future cash flows is less than the current cost of the security.
-Everything else being equal, you should invest if the discounted value of the security’s expected future cash flows is greater than or equal to the current cost of the security.
Now that you’ve thought about the decision rule that should be applied to your decision, apply it to the following security offered by your broker:
Jing Associates, LLC, a large law firm in Denver, is building a new office complex. To pay for the construction, Jing Associates is selling a security that will pay the investor the lump sum of $23,000 in two years. The current market price of the security is $14,245.
Assuming that you can earn an annual return of 8.50% on your next most attractive investment, how much is the security worth to you today?
-$16,606
-$24,421
-$19,537
From strictly a financial perspective, should you invest in the Jing security?
-Yes
-No
Why or why not?
-Because the discounted value of the security’s future cash flows is greater than the cost of the security.
-Because the cost of the security is greater than the discounted value of the security’s future cash flows.
Step-by-step explanation:
An ecological group suspects lobsters are consuming dangerous levels of mercury in a region of the world. Dangerous levels of mercury are classified when they reach beyond 6.5 parts per million. A random sample of 25 lobsters in the region were tested and the data is shown in the stemplot.
Stemplot for Mercury Levels.
2|2 4;
2|;
3|1 4;
3|5 8;
4|0 2;
4|5 6;
5|0 1 3 3 4;
5|6 8 9;
6|3 4;
6|6 7 8;
7|1 2;
7|
Key: 2|2 = 2.2 parts per million
Part A: What proportion of the lobsters in the sample have dangerous levels of mercury in their systems? (4 points)
Part B: Construct and interpret a 95% confidence interval for the mean mercury levels of the lobsters if the sample of 25 lobsters has a mean mercury level of 5.05 parts per million and standard deviation of 1.45 parts per million. (6 points)
Part A: 5 out 25 lobsters have dangerous levels of mercury
Part B: the 95% confidence interval is given by (4.45, 5.65)
since everything is given all I had to do is find the critical value which can be found from the resource packet = 2.064
Using the formula we find 5.05+-2.064*1.45/5 = ( 4.45,5.65)
For this case, we have 95% of confidence that the true mean for the average number of lobsters with dangerous levels of mercury is between 4.45,5.65
Karen is playing a board game in which she rolls a fair six-sided number cube repeatedly until she rolls a six. Once she rolls a six, she can advance her piece on the board. What is the probability that the first six Karen rolls is on her fifth roll?a. 1/6.b. 5/6.c. (1/6)2.d. (5/6)4(1/6).e. (5/1)(5/6)4(1/6).
Answer:
i say b.
Step-by-step explanation:
Answer:
I say d
Step-by-step explanation:
It seems most correct, 4 fails and one correct, the fifth try
What is equivalent to 2/3?
Answer:
2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.
Step-by-step explanation:
Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.
Which is the equation of a line parallel to the line with the equation: Y= -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. y= -1/3x + 6
D. Y= 1/3x - 1/2
What is the domain of the function y=x-1?
0-1
O 0
O 1
Answer:
Option 1: negative infinity to infinity
Step-by-step explanation:
negative infinity to infinity
...............??..?.?.?.?.?.??..??...??..?.??...??..?.?.? a
Answer:
Step-by-step explanation:
2+2=4
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 3, 5
Step-by-step explanation:
use the pythagorean theorem to find the length of the leg in the triangle below
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective