A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solution?

Evaluating the function in the values of the domain we will get some coordinate pairs. The graph of these is in the image at the end.

Here we have the function:

3x - y = 1

And we want to graph this in the domain (-3, -1, 0, 4)

To do so, we need to evaluate the function (the values of x) in the values of the domain.

Solving the equation for y we get:

y = 3x - 1

Now, when x = -3

y = 3*-3 - 1 = -10

when x = -1

y = 3*-1 - 1 = -4

when x = 0

y = 3*0 - 1 = -1

When x = 4

y = 3*4 - 1 = 11

So we have the points (-3, -10), (-1, -4),  (0, -1), (4, 11)

The graph of these points is on the image below.

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Note that the trail mix cost $6.75 per pound. That is, 1 pound cost $6.75. Thus, 2.45 pounds will cost:

thus, we can conclude that the correct answer is:

Robert spend:

$16.5

Step-by-step explanation:

remember, when we multiply the same base, we add the exponents, when we divide the same base we subtract the exponents.

when we have exponent of exponent, we multiply the exponents.

so,

the expression is

(z^ac / z^bc) × (z^ab / z^ac) × (z^bc / z^ab) = 1

we have in there the commutative and associative properties of multiplication : the sequence of operands do not matter at all.

and therefore we have in there the terms :

z^ac / z^ac

z^bc / z^bc

z^ab / z^ab

all three are 1

and so the main expression is

1 × 1 × 1 = 1

which is true, of course, and therefore the original equation is true.

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Answer:

15 19/20

Step-by-step explanation:

95 cents means 95/100 then reduce that and you get 19/20 and then on the end you still have the $15

Answer:

150 canicas en total.....

The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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Answer: The equation of a linear relationship is y = mx + b, where m is the rate of change, or slope, and b is the y-intercept (The value of y when x is 0).

Step-by-step explanation:

Answer:

The standard form of the equation of a circle with center at (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given that the center of the circle is (4, -1), so h = 4 and k = -1. We also know that the circle passes through the point (-4, 1), which means that the distance from the center of the circle to (-4, 1) is the radius of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

So the radius of the circle is:

r = sqrt((-4 - 4)^2 + (1 - (-1))^2) = sqrt(100) = 10

Now we can substitute the values of h, k, and r into the standard form equation of a circle:

(x - 4)^2 + (y + 1)^2 = 10^2

Expanding the equation gives:

x^2 - 8x + 16 + y^2 + 2y + 1 = 100

Simplifying and putting the equation in standard form, we get:

x^2 + y^2 - 8x + 2y - 83 = 0

Therefore, the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1) is:

x^2 + y^2 - 8x + 2y - 83 = 0

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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cosθ = -√15/4

STEP - BY - STEP EXPLANATION

What to find?

cos(θ )

Given:

sin(θ ) = −1/4

To solve the given problem, we will follow the steps below:

Step 1

Recall the trigonometric identities.

cos²θ + sin²θ = 1

Step 2

Substitute the value of sinθ into the above.

cos²θ + (-1/4)² = 1

cos²θ + 1/16 = 1

Step 3

Subtract 1/16 from both-side of the equation.

cos²θ = 1 - 1/16

Step 4

Simplify the right-hand side of the equation.

Step 5

Take the square root of both-side of the equation.

Since θ is in the third quadrant;

We can see that in the third quadrant, only tanθ is positive, cosθ is negative.

Hence, we will pick only the negative value.

Therefore,

Answer:

Step-by-step explanation:

Given:

The total weekly income is:

Weekly earning is fixed

Rate of change

So equation in slope intercept form

Answer:

What does P stand for

Step-by-step explanation:

It should say

Answer:

p - 6

is just 5 i think

Step-by-step explanation:

if this helps please mark brainlist

Answer:

379*8

Step-by-step explanation:

1. 300*8=2400

2.70*8 = 560

3. 9*8=72

3032

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

Answer:

too hard for my little brain so bye

If she is setting up a proportion to find the percent, the value of m would be any variable and the value of n would be 100.  When she solves the problem, m=65%.

13/20 is part out of whole.  The rest of the proportion will be "percent out of 100"; since we don't initially know the percent, we use a variable.  Thus we have

13/20 = m/100

Cross multiply:

20*x = 13*100

20x = 1300

Divide both sides by 20:

20x/20 = 1300/20

x = 65

Answer:

Step-by-step explanation:

Calculate the total hours used: We add up the hours used each year to find the total hours used:

2,800 + 1,400 + 1,500 + 2,500 + 2,300 + 2,000 = 12,500

Calculate the total depreciation: We subtract the residual value from the cost to find the total depreciation:

$219,000 - $19,500 = $199,500

Calculate the annual depreciation expense: We divide the total depreciation by the number of years to find the annual depreciation expense:

$199,500 / 6 = $33,250

Calculate the depreciation expense per hour: We divide the annual depreciation expense by the estimated total hours to find the depreciation expense per hour:

$33,250 / 12,500 = $2.66

So the depreciation expense per hour is $2.66.

Calculate the depreciation expense for each year: We multiply the hours used each year by the depreciation expense per hour to find the depreciation expense for each year:

Year 1: 2,800 * $2.66 = $7,448

Year 2: 1,400 * $2.66 = $3,724

Year 3: 1,500 * $2.66 = $3,990

Year 4: 2,500 * $2.66 = $6,650

Year 5: 2,300 * $2.66 = $6,118

Year 6: 2,000 * $2.66 = $5,320

So the depreciation expense for each year is:

Year 1: $7,448

Year 2: $3,724

Year 3: $3,990

Year 4: $6,650

Year 5: $6,118

Year 6: $5,320

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.

Answer:

Step-by-step explanation:

it is the diameter AB.

Answer:

\(=13ab\)

Step-by-step explanation:

\(5ab+9ab-ab\\\mathrm{Add\:similar\:elements:}\:5ab+9ab-ab=13ab\\=13ab\)

y=-5

1) Let's solve the system below

5x +y = 6

5x +3y=-4

2) Let's multiply the first one by -1

-5x -y = -6

5x +3y = -4

----------------------------------

2y = -10

y=-5

3) As the question, asks only for the y coordinate we can stop it here.

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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Answer:

-5

Step-by-step explanation:

The rate of change, also known as slope, would be -5.

Slope can be found with two points and the formula y minus y divided by x minus x or the change of y divided by the change in x.

To identify the slope on the equation is easy since this is slope-intercept form.

y=mx+b

where m is the slope

m in this case is -5, so -5 is your answer

Answer:

700

Step-by-step explanation:

539 rounded to 500

221 rounded to 200

500 plus 200 is 700

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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Answer: 0.5

Step-by-step explanation: it should be but  wait for other answers

The conditional relative frequency that a participant has brown hair, given that he/she has brown eyes is 0.71

We would solve this using Baye's Theorem:

Let R represent brown hair

Let B represent brown eyes

\(P = \frac{R}{B} = P\frac{(RnB)}{P(B)}\)

P(RnB)= 10

P(B)= 2 + 2 + 10 = 14

Therefore

\(P(\frac{R}{B} ) = \frac{10}{14}\)

= 0.71

Therefore, the correct answer is option D.

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Answer: To check the division of fractions, you can use your knowledge of whole number division. Here are the steps:

Convert both the numerator and denominator of the fraction to whole numbers if they are not already. You can do this by multiplying both the numerator and denominator by the same number to ensure they are both whole numbers.

Perform the division of the numerator by the denominator to get a whole number quotient and a fractional remainder.

Check the result by multiplying the denominator by the quotient, and adding the fractional remainder to it. The result should be equal to the numerator.

If the result obtained in step 3 is equal to the numerator, then the division of the fractions is correct. If the result is not equal, then there is a mistake in the division, and you should go back and check your work.

By using your knowledge of whole number division to check the division of fractions, you can ensure that your work is accurate and avoid mistakes.

Step-by-step explanation:

the first time in my class or must i forget abt u cos i always indoors and i know ukuthi im not strong so

The area of the triangle, Rounded to the nearest hundredth, is approximately 132.02 cm².

The area of a triangle with the given measurements, we can use the formula for the area of a triangle using side lengths and an included angle. The formula is:

Area = (1/2) * a * c * sin(B)

where a and c are the side lengths, B is the included angle between those sides, and sin(B) represents the sine of angle B.

Let's calculate the area using the given measurements:

B = 103° (included angle)

a = 12 cm

c = 22 cm

First, we need to convert the angle from degrees to radians, as the sine function operates on radians. We can use the conversion: radians = degrees * (π/180).

B in radians = 103° * (π/180) ≈ 1.8 radians

Next, we can substitute the values into the formula:

Area = (1/2) * a * c * sin(B)

     = (1/2) * 12 cm * 22 cm * sin(1.8 radians)

Using a calculator, we can evaluate sin(1.8 radians) ≈ 0.9833.

Area ≈ (1/2) * 12 cm * 22 cm * 0.9833

       ≈ 132.02 cm² (rounded to the nearest hundredth)

Therefore, the area of the triangle, rounded to the nearest hundredth, is approximately 132.02 cm².

Among the given options, the closest match is:

b) 132 cm² (rounded to the nearest whole number)

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