How many ounces of a 28% alcohol solution and a 40% alcohol solution must be combined to obtain 51 ounces of a 32% solution?

Answer:

-2/7

Step-by-step explanation:

reciprocal, I'll put it as negative inverse.

so just concert 3.5 to fraction, which is 7/2

then find the negative inverse that's -1÷7/2

answer us -2/7

really hope it's right(...sorry if I'm wrong) and hope you get it.

Answer:

I think the answer would be 1/2

Answer:

1/2

Step-by-step explanation:

-2 and 3 are out of the equation because they do not represent chance, 3/2 is out of the equation because the question says it has to be a possibility and 3/2 means it WILL happen, but 1/2 is a possibility that it could and could not happen. Hope I helped!

Answer: She ran 7 3/5 miles on the two days

Step-by-step explanation

Miles ran by Deborah on Monday =32/5 miles

Miles ran by Deborah on Tuesday = 41/5 miles'

Total miles ran by Deborah on the two days

=3 2/5 +4 1/5

=7   2+1 /5

=7 3/5 miles

Answer:

4

Step-by-step explanation:

slope, m = (y₂ - y₁)/(x₂ - x₁)

plug in the values, and we get m = (3 - (-1))/((3 - 2) = 4

As x increases by 1, y increases by 4.

-1

Step-by-step explanation:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

($0.5 x 2) + ($1.25 x 3) + ($0.75 x 3) = $7

Answer: ($0.5*2) + ($1.25*3) + ($0.75*3) = $7

Step-by-step explanation: Since Laurie orders 2 fruit, 3 drinks, and 3 popcorn, we multiply the cost of each item by the number of items purchased.

For example, one fruit costs $.50. Since Laurie orders 2 fruits, we multiply .50 by 2, to get $1.

For future reference, the equation representing this problem would be

.50f+.75p+1.25d=c(total cost).

Answer:

Step-by-step explanation:

150 : 300

In simplest form

1 : 2

In fraction form

1/2

In decimal form

0.5

Answer:

1:2 1/2 1÷2

Step-by-step explanation:

divide both of them by 150. You get 1:2, which can be converted to 1/2 and 1÷2

Answer:

Answer:

1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]

3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]

4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]

5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12

6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8

7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20

8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16

Hope this helps!

Answer:

D. 24

Step-by-step explanation:

substitute -4 for x:

f(-4)=20-(-4)

f(-4)=24

Answer:

54×3

27×6

(10^2)+31×2

I hope this helps

Answer:

y ≥ 1

Step-by-step explanation:

According to the graph, the y values start at 1 and go to ∞. Therefore, the range of the function is y ≥ 1.

Answer:

10

Step-by-step explanation:

Cake remaiing after eating 1/3 = 1/3 x 5 = 5/3 kg

let x = pieces he divided the cake into

5/3 ÷ x = 1/6

1/ x = 3/5 x 1/6 = 1/10

x = 10

Answer:

14.46ft

Step-by-step explanation:

this would be solved using Pythagoras

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

15^2 - 4^2

225 - 16 = 209

the square root = 14.46

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (- 1, 8) ← 2 ordered pairs from the table

m = [tex]\frac{8-6}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1 , then

y = - x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 6 ) , then

6 = - 1 + c ⇒ c = 6 + 1 = 7

y = - x + 7 → B

Answer:

600 centimeters

Step-by-step explanation:

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

=============================================================

Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

Answer:

fvbbbbb

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Add each sample separately

A.17   B. 47   C. 39 D. 52 E. 45

Then you add them all together which totals 200 sick days

We know that they surveyed 5 schools and 10 students at random from each one. So we want to know the mean of sick days the students took not the schools in all.

So we divide 200/50

And get a mean of 4.

So each student took an average of 4 sick days each in the country.

Answer:

kkuguftfhbnkmom ugvtvtv uvbuub

9514 1404 393

Answer:

  WV = 6

Step-by-step explanation:

The hash marks indicate the corresponding lines are the same length. That is, W is the midpoint of YZ, because YW ≅ WZ. Similarly, V is the midpoint of XY, because XV ≅ VY.

Using this information, it can be shown that ∆YWV ~ ∆YZX. This means corresponding sides have the same ratio.

Because YW is half of YZ, WV is half of ZX.

  YW/YZ = 1/2 = WV/ZX = WV/12

Multiplying by 12 gives the value of WV:

  WV = 12(1/2)

  WV = 6

_____

This is a long way to say that the midsegment (WV) is half the length of the base (ZX) of a triangle.

Answer:

a. 49/2

b. -2/9

If I make any mistakes, I'm sorry.

Answer:

Step-by-step explanation:

The system of linear equations has no solution when the lines are parallel. It means the lines have same slope but different y-intercepts.

The y-intercepts are different:

For the given system to have no solution we need n = -4.

Answer:

volume of the hemisphere

[tex] \frac{1}{2} \times \frac{4}{3} \times \pi \times {3}^{3} \\ \frac{2}{3} \times 27 \times \pi \\ 18\pi {cm}^{3} [/tex]

Answer:

Step-by-step explanation:

the coefficients of this quadratic are -1, 4 and 4, and so the discriminant b^2 - 4ac works out to 16 - 4(-1)(4), or 0.  Thus this graph has two real, equal roots which are the same point on the graph, the vertex, the maximum of the function.

Letting x = 0, we find that y is 4.  Thus, the y-intercept is (0, 4).  Plot this.

Using the formula x = -b / [2a], we find the axis of symmetry:

   x = -4 / [2*(-1)] = -4 / [-2] = +2

The axis of symmetry is the vertical line x = 2.  

At x = 2, y = -(2)^2 + 4(2) + 4, OR -4 + 8 + 4, or 0.

The vertex and maximum value are (2, 0).  The graph touches the x-axis in only one place.

Draw the axis of symmetry x = 2.  Plot the vertex (2, 0) and the y-intercept.  Reflect the y-intercept about the axis of symmetry to obtain a second point on the graph at the same y-value as (0, 4).

Answer:

34.2

Step-by-step explanation:

0*.5+2*.2+4*.15+6*.1+10*.05= 2.1

The expected value of the winnings from a game is 2.1.

Expected value is used when we want to calculate the mean of a probability distribution. The weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value.

For the given situation,

Payouts, x = 0, 2, 4, 6, 10

Probabilities, P(x) = 0.5, 0.2, 0.15, 0.1, 0.05

The formula of expected value is [tex]E ( X ) = \mu = \sum [xP( x )][/tex]

⇒ [tex]E(X)=(0)(0.5)+(2)(0.2)+(4)(0.15)+(6)(0.1)+(10)(0.05)[/tex]

⇒ [tex]E(X)=0+0.4+0.6+0.6+0.5[/tex]

⇒ [tex]E(X)=2.1[/tex]

Hence we can conclude that the expected value of the winnings from a game is 2.1.

Learn more about expected value here

https://brainly.com/question/24321198

#SPJ2

Answer:

$21

Step-by-step explanation:

If apples are 3 dollars for 1 pound, and he buys 7 pounds, that's 3 * 7, which is 21.

Answer:

21

Step-by-step explanation:

3×7 21. jejdiwndbJnsjdkandjxjwnxjkwhdusjdidjduxjsbxjsndkdndjxjdjd

Answer:

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

Step-by-step explanation:

cos = adjacent side/hypotenuse

Then, in a right triangle the adjacent = 2 and the hypotenuse = 3

By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2

9 - 4 = 5

opposite side = [tex]\sqrt{5}\\[/tex]

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

An easier way is to find sin(arccos (-2/3) = [tex]\frac{\sqrt{5} }{3}[/tex]

Note:  Remember that the sin is positive in the 2nd quadrant.