MATHEMATICS HIGH SCHOOL

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books. Which equation models the situation?m + b = 47.95

m + b = 60.55

3.95m + 8.95b = 47.65

8.95m + 3.95b = 47.65

Answers

Answer 1

Answer: the third equation is true

3.95m+8.95b=47.65

good luck

Answer 2

Answer: Third equation is correct.

Graphed Functions

When we are finding f(x) given a value of x, we must identify the value of y that results from the value of x.

Solving the Question

We are asked to find f(2).

On the graph, first find the location of x=2.

Then, identify where the function is at x=2.

Finally, identify the corresponding y-value: 12.

Answer

The value of f(2) is 12.

Assign two variables for each problem, and write the equations. Solve.In five years, Kate will be twice as old as Joey. Right now, Kate is 11 years older than Joey. How old is Joey right now?

I need two variables and two equations. And please solve it.

Answers

lets make k equal to Kate's age and j equal to Joey's age. If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.

The price of a plane ticket has increased from $150 to $200. By what percent has the price increased? A) 15%
B) 25%
C) 33%
D) 50%

Answers

Answer:

The answer is the option C

$33\%$

Step-by-step explanation:

we know that

$\$150$ ------> represent the $100\%$

by proportion

Find what percent has the price increased

$(100)/(150)(\%)/(\$)=(x)/(200-150)(\%)/(\$) \n \nx=(200-150)*100/150\n \nx=50*100/150\n \nx=33.33\%$

There is a formula to figure out questions like this:

The price difference/ the original price and times the whole equation by 100 (to get the percentage).

> ($50/$150) x 100 = 33% (rounded)

A water sprinkler has a range of 5meters. The jet of water from the sprinkler sweeps out at an angle of 85degrees as the nozzle turns. What is the area watered by the sprinkler?

Answers

It's (85/360) of a full circle with a radius of 5meters.

Answer:

I found the image that accompanied this problem.

We need to solve for the area of the sector.

A = n/360 * π * r²

A = 85/360 * 3.14 * 5²

A = 0.2361 * 3.14 * 25

A = 18.5347

Answer is C. 18.5 square meters.

Step-by-step explanation:

True or false? The most common system of measurement for medication is the metric system.

Answers

Answer:

true

Step-by-step explanation:

The metric system is used for most scientific and medical measurements and all pharmaceutical companies now use the metric system for labeling medications.

Final answer:

The most common system of measurement for medication is indeed the metric system, which is utilized globally for its precision and universality. Its units cater to fundamental attributes in medicine dosages, such as volume, length and weight.

Explanation:

True, the most common system of measurement for medication is the metric system. This system is utilized globally and, in the healthcare field, it's critical for measuring and administering medications due to its precision and universality. The metric system's units of meters, liters, and grams cater to volume, length and weight - all fundamental attributes in medication dosages. If we take an example, a physician may prescribe 500 milligrams (mg) of a particular drug, where the milligram is a common metric unit used to denote mass.

Learn more about metric system

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Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage ofthe total variation that can be explained by the linear relationship between the two variables. r = 0.885 (x = weight of male, y = waist size of male)