Answer:
We need 8 ounces of solution A and 32 ounces of solution B.
Step-by-step explanation:
We are given that a scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt.
She knows that Solution A is 40% salt and Solution B is 65% salt.
First condition states that she wants to obtain 40 ounces of a mixture that is 60 % salt, that means;A + B = 40
B = 40 - A ------------ [Equation 1]
Second condition states that Solution A is 40% salt and Solution B is 65% salt, that means;[tex]0.4 \text{A}+0.65 \text{B}=0.60 \times 40[/tex]
[tex]0.4 \text{A}+0.65 \text{B}=24[/tex]
[tex]0.4 \text{A}+0.65 (40- \text{A})=24[/tex] {from equation 1}
[tex]0.4 \text{A}+26- \text{0.65A}=24[/tex]
[tex]\text{0.65A} - 0.4 \text{A}=26-24[/tex]
[tex]\text{0.25A} =2[/tex]
A = [tex]\frac{2}{0.25}[/tex] = 8 ounces
Now, putting value of A in equation 1, we get;
B = 40 - A
B = 40 - 8 = 32 ounces
Hence, we need 8 ounces of solution A and 32 ounces of solution B.
8/12 - 1/3 =
Please answer my question
Answer:
1/3
Step-by-step explanation:
8/12 - 4 /12=. 4/12 = 1/3. =. .33
can someone please help me with this
Answer:
The solution is attached up.
William Sydney Porter tried to perform the calculation [tex]\frac{-3+4i}{1+2i}[/tex]. However, he accidentally missed the minus sign, finding [tex]\frac{3+4i}{1+2i}[/tex]=[tex]\frac{11}{5}[/tex]-[tex]\frac{2i}{5}[/tex]. What answer should he have obtained?
Answer:
1+2iStep-by-step explanation:
Given the complex number [tex]\frac{-3+4i}{1+2i}[/tex] calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.
To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;
[tex]\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i[/tex]
He should have obtained 1+2i if he hadn't misses the sign
What is b’c the length of bc after dilation? What is the measure of
Answer:
C
Step-by-step explanation:
the angle will always stay the same, it won't change
but if the dialation is 1/2, then that means that the sides will decrease in size compared to the original length,
(just divide by 2) on each side length to get the answer
the probability of a chance event is 0.3 it is _____ to happen when compared to a chance event with the probability of 0.4
A.both more likely and less likely
B.less likely
D.equaly likely
C.more likely
Answer:
less likely
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer:
B
Step-by-step explanation:
Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?
Hope I helped you!
This is found by multiplying pi by the radius squared
what is the inverse function of f(x)= x/x-2?
Answer:
[tex]f^{-1}(x)=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
Start by replacing f(x) by the variable "y" and solving for x in the equation:
[tex]f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}[/tex]
Now do the final replacement using the inverse function notation, and replacing "y" with "x":
[tex]x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}[/tex]
The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)
Since the function can be rewritten as;
y = x/x-2By making x the subject of the function;
yx - 2y = x x (y -1) = 2yx = 2y/(y-1)By swapping x and y; we then have;
y = 2x/(x-1)The inverse function is therefore; f-¹(x) = 2x/(x-1)
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Which choice is equivalent to the product below for acceptable values of x? PLEASE ANSWER
A.)
[tex] \sqrt{5 {x}^{2} } + 15x[/tex]
Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is equivalent to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.
What are Equivalent values?Equivalent value or dated value refers to the value of an original quantity at a specific point in time. The equivalent payment is made up of the initial amount plus any interest accrued up to the dated value date. When money is due or payable at separate times, it is impossible to compare them immediately.
How to solve?Given hence solving [tex]\sqrt{5x} * \sqrt{x+3}[/tex] equation by multiplying both terms
=[tex]\sqrt{(5x*x+5x*3}[/tex]
=[tex]\sqrt{5x^{2} +15x}[/tex]
Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is similar to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.
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I NEED HELP (I don't have all day to wait for an answer.)
What is the average/mean number of children in Student's Families?
Answer:
3
Step-by-step explanation:
Plz give me brainAnswer:
i think the answer is 1.2 or 1.7
you first need to add together all of the children and then divide by 6
Brayden is selling lemonade in glasses that hold 1/12 of a gallon. If he makes 2 7/8 gallons of lemonade, which expression shows how many glasses he can sell?
Answer: 2 7/8 divided by 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 7/8 divided by 1/12
Help? This question confuses me.
Answer:
112°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
16x is an exterior angle of the triangle, thus
16x = 7x - 1 + 8x + 8, that is
16x = 15x + 7 ( subtract 15x from both sides )
x = 7
Thus
16x = 16 × 7 = 112
The exterior angle is 112°
A rectangular flower garden measures 9 ft. by Il ft. About how long is a diagonal path through the garden?
Answer:
14.212 feet
Step-by-step explanation:
Pythagorean Theorem.
sqrt(9^2+11^2) = 14.212
Two parallel lines are cut by a transversal as shown below
Answer:
<2 and <4 = 74 degrees
Step-by-step explanation:
<7=<1, alt exterior angles
<1=<3, opposite angles
<1+<2= 180
since angle one is 106 just subtract 106 from 180 and you get 74= <2
<2 and <4 are opposite angles so they are congruent
therefore, <2 and <4 = 74 degrees.
1. Solve and show your work for each question.
(a) What is expressed as a fraction in simplest form?
(b) What is expressed as a fraction in simplest form?
(c) What is expressed as a fraction in simplest form?
Answer:
2. Jaclyn estimates the square root of 50 in the following way:
[tex]\sqrt{50} = 2\sqrt{25} = 2 ( ) 5 = 10
(a) Explain why her reasoning is incorrect.
(b) Estimate the square root of 50 to the nearest tenth without using your calculator. Show your work.
Answer:
3. Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
[tex]\pi , \sqrt{3} , \sqrt{2} , \sqrt{3} , \sqrt{5}[/tex]
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.
(b) Order the ribbon sizes from least to greatest.
Answer:
Paulo works part time in a store every month. His monthly salary increases by the same amount every year. Three years ago, Paulo's monthly salary was two thousand seven hundred eighty-three dollars. Twelve years from now Paulo's monthly salary will be approximately eight thousand thirty-eight dollars. What will Paulo’s monthly salary be this year? Show all of your mathematical thinking.
Answer: [tex]\$3834[/tex]
Step-by-step explanation:
Three years ago Paulo's monthly salary was [tex]\$2783[/tex]
Twelve years from now Paulo's salary will be [tex]\$8038[/tex]
Suppose current salary is [tex]\$ x[/tex]
and Yearly increment is [tex]\$y[/tex]
So,
[tex]\Rightarrow x-3y=2783\quad \ldots(i)[/tex]
and [tex]\Rightarrow x+12y=8038\quad \ldots(ii)[/tex]
From (i) and (ii) we get
[tex]\Rightarrow 15y=5255[/tex]
[tex]\Rightarrow y=350.33[/tex]
and [tex]x=2783+3\times 350.33[/tex]
[tex]x=3834[/tex]
So, monthly salary this year is [tex]\$3834[/tex]
Two positive numbers have a difference of 8 and a product of 33. What are these numbers?
OA.
4 and 12
OB.
3 and 12
О С.
4 and 11
OD
3 and 11
Reset
Next
Answer:
3 and 11
Step-by-step explanation:
3 times 11 is 33
11 - 3 is 8
The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location. Which statement best describes the association between the number of days the food truck is in the same location and the number of customers who visit the food truck per day?
A.There is no association.
B.There is a nonlinear association.
C.There is a positive linear association. D.There is a negative linear association.
Answer: There is a positive linear association
Step-by-step explanation:
The best fitted statement is
There is a positive linear association.
What is Linear Association?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).
If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.
The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.
As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.
If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.
Here, the slope seems to be positive.
Thus, this is positive linear Association.
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Taj has a choice of water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass. how many more choices will he have if the drink can be served with or without a straw? Explain in the spaces below
Total number of choices with a straw:
Total number of choices without a straw:
Explain why there are more choices with on over the other:
Answer:
Total number of choices with a straw: 12
Total number of choices without a straw: 12
Total number of choices: 24
Step-by-step explanation:
Taj has a choice of:
water, iced tea, or lemonade (3 options)with lemon or lime twist (2 options)served in a small or large glass (2 options)This made a total of 3*2*2: 12 different choices
if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24
Find the measure of arc ABC
Answer:
360 degrees
Step-by-step explanation:
The measure of the arc ABC is 230°
What is an arc?In Mathematics, an arc means, a part of a curve or the portion of a circle. The straight line joining the ends of the arc is called the chord of the circle.
Given is a circle we need to find the measure of the arc ABC,
So, according to the properties of a circle,
∠D = 1/2(arc ABC - arc AC)
Arc AC = 360° - arc ABC
Therefore,
50° = 1/2(arc ABC - 360° + arc ABC)
100° = -360° + 2 arc ABC
460° = 2 arc ABC
arc ABC = 230°
Hence the measure of the arc ABC is 230°
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The diagram shows a geometric figure on a coordinate plane. The figure is translated left two units and then reflected over the X axis, what are the ordered pairs for A' B' C'. Enter you answer in the format: (A’—,—), (B’—,—), (C’—,—)
Answer:
A'(3, 1), B'(3, -2), C'(1, -2)
Step-by-step explanation:
A(-1,1), B(-1, -2), C(1, -2)
A(-3, 1), B(-3, -2), C (-1, 2)
A'(3, 1), B'(3, -2), C'(1, -2)
A geometric figure on a coordinate plane with points. The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).
What is geometric figure?"A geometric figure is intuitively defined as a set of points and lines in space."
What is coordinate plane?"The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines, and more."
We have
A geometric figure on a coordinate plane with points
A = (1, -1)
B = (-1, -2)
C = (1, -2)
The figure is translated left two units and then reflected over the X axis
A drawn figure is attached to the answer
From the figure, we have
Figure is translated left two units
A = (-3 ,1)
B = (-3, -2)
C = (-1, -2)
Then the figure is reflected over x-axis
A = (3, 1)
B = (3,-2)
C = (1, -2)
Hence, The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).
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I dunno how to do this im just hoping people know the answer
Answer:
its always wrong
Step-by-step explanation:
any variable always has a holder of 1
so 01b doesnt equal 4
Answer:
coz it will be undefined
Step-by-step explanation:
coz it will be UNDEFINED
4/0=undefined
What is the following product ?
Answer:
b
{b}^{2} [/tex]
PLZ HELP!
Robert sketches two rectangular prisms, A and B. Prism A's side lengths are 5 centimeters, 6 centimeters, and 7 centimeters. Prism B's side lengths were twice those of prism A's: 10 centimeters, 12 centimeters, and 14 centimeters. Robert says the surface area of prism B is twice the surface area of prism A. Is he correct? If he is not, how many times as great as prism A's surface area is prism B's surface area?
Robert is 1.___; the Surface area of A is ____ square centimeters. The Surface area of B is _____square centimeters. B's surface area is ____ times as great as A's.
Answer:
4 times greater
Step-by-step explanation:
Prism A
SA = 2 (lw+wh+lh) where l is length w is width and h is height
SA = 2 ( 5*6+ 6*7+ 5*7)
SA = 2(30+42+35)
SA = 2(107)
SA =214
Prism B
SA = 2 (lw+wh+lh) where l is length w is width and h is height
SA = 2 ( 10*12+ 12*14+ 10*14)
SA = 2(120+168+140)
SA = 2(428)
SA =856
Robert is not correct
856/214 =4
Prism B is 4 times greater
Answer:
Prism B's surface area is 4 times Prism A's.
The surface area of Prism A is 214 square centimeters.
The surface area of Prism B is 856 square centimeters.
Step-by-step explanation:
To find the surface area of a rectangular prism, use this formula:
[tex]A=2(wl+hl+hw)[/tex]
Where w is the width, h is the height, and l is the length.
Substitute the values given for Prism A and Prism B into the formula to find each prism's surface area:
Prism A:
[tex]A=2(5 * 6+6 * 7+5 * 7)\\A = 2 (30 + 42 + 35)\\A = 214[/tex]
Prism B:
[tex]A=2(10*12+12*14+14*10)\\A = 2 (120 + 168 + 140)\\A = 856[/tex]
Prism B's surface area is 4 times Prism A's.
The surface area of Prism A is 214 square centimeters.
The surface area of Prism B is 856 square centimeters.
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
8 cm
5 cm
30 Points!! Please answer the question in full detail!!
Step-by-step explanation:
Let's find the equation of the line first.
x + 2y = 4
2y = -x + 4
y = -1/2 x + 2
Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!
5,888,000,000,000 miles is equivalent to 1 light year. What is this number represented in scientific notation?
Answer:
5.888x10^12
Step-by-step explanation:
First you got to make the number a decimal, but it can't be above 10 or below 1. So, we end up with 5.888000000000. Then, to get rid of all the zeros, we use the x10^12. The exponent is basically how many times the decimal has to move back to the right to get the original number.
Andy has entered a race. The participants have to run 14 meters. Andy finishes the race in 7 seconds. What is Andy's average speed? A. 2 m/s B. 5 m/s C. 25 m/s D. 4 m/s
Answer:
2m/s
Step-by-step explanation:
Speed=distance/time taken
=14/7
=2m/s
Find the measure of angle ACE.Arc AB is 100 degrees,Arc AE is 120 degrees, and Arc De is 100 degrees.
60
80
40
100
Answer:
60 degrees
Step-by-step explanation:
The measure of the angle ACE is 60 degrees.
What is an Arc?An arc is simply a part of the circumference of a circle or other curve.
Finding the angle:as we have arc AE is 120 degrees.
Then by the properties of the interior and the exterior arc, arc BD, which is angle ACE is 120/2=60 degrees.
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You bought a blu-ray that cost $28.68 before tax. How much did you have to pay once the 7% sales tax was factored in?
Answer:
You had to pay $30.69 after the sales tax factored in.
Step-by-step explanation:
First step is to find 7% of $28.68.
The answer to that is the sales tax, therefore making the sales tax $2.01.
Finally, you have to add $2.01 to $28.68 to get a total of $30.69, your final answer.