MATHEMATICS HIGH SCHOOL

Solve each problem.
1.) 15% means ___?__ out of every 100.

Answers

Answer 1
Answer: 15% means 15 out of every 100.

15% can also be written as 15/100 and 0.15, just as a little extra information.

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Share 56 pound in the ratio 1:3:4

Answers

(56)/(1+3+4)\n(56)/(8)\n7\n\n7*1=7\n7*3=21\n7*4=28\n7:21:28

7 : 21 : 28

Search results for "A shipment of 18 cars, some weighing 3,000 pounds, and the others weighing 5,000 pounds each. Together the shipment has a total weight of 30 tons. (60,000 lbs). Find the number of each kind of car."

Answers

The best way to solve a problem like this is to set up two equations. First assign a variable to each thing you are trying to find. In this case, it's two different kinds of cars. Let's call the cars that weigh 3,000 pounds x, and the ones that weigh 5,000 y. The two equations you should write are:

 x+y=18 (because the problem tells you there were 18 cars in total)
3000x+5000y=60000 (because that is the total weight in the problem)

Next, you need to solve for one of the variables. I will solve for x first by subtracting y from both sides of the first equation.

x=18-y

Then you have to plug that into the other equation to get:

3000(18-y)+5000y=60000

Simplify and solve for y:

54000-3000y+5000y=60000
54000+2000y=60000
2000y=6000
y=3

Now that you know what y equals, you can put it into the equation we solved for x:

x=18-3
x=15

So there are 15 cars that weigh 3000 pounds and 3 that weigh 5000.

Answer:

The best way to solve a problem like this is to set up two equations. First assign a variable to each thing you are trying to find. In this case, it's two different kinds of cars. Let's call the cars that weigh 3,000 pounds x, and the ones that weigh 5,000 y. The two equations you should write are:

 x+y=18 (because the problem tells you there were 18 cars in total)

3000x+5000y=60000 (because that is the total weight in the problem)

Next, you need to solve for one of the variables. I will solve for x first by subtracting y from both sides of the first equation.

x=18-y

Then you have to plug that into the other equation to get:

3000(18-y)+5000y=60000

Simplify and solve for y:

54000-3000y+5000y=60000

54000+2000y=60000

2000y=6000

y=3

Now that you know what y equals, you can put it into the equation we solved for x:

x=18-3

x=15

So there are 15 cars that weigh 3000 pounds and 3 that weigh 5000.

Step-by-step explanation:

2x+3=-7 what does x equal

Answers

Answer:-5

Step-by-step explanation:

2x+3=-7

2x=-7-3

x=-10/2

so,

x=-5

Answer: x=-5

Step-by-step explanation: just did the assessment on edge

Which of the following expressions is the inverse of the function y equals quantity x minus 2 divided by 3

Answers

y=(x-2)/(3)\ \ \ \ |change\ x\to y\ and\ y\to x\n\nx=(y-2)/(3)\to(y-2)/(3)=x\ \ \ \ |multiply\ both\ sides\ by\ 3\n\ny-2=3x\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{y=3x+2}\leftarrow answer

Which equation in slope-intercept form represents a line that is parallel to y=1/2x-2 and passes through the point (-8,1)?

Answers

Answer:

\displaystyle y=(1)/(2)x+5

Step-by-step explanation:

We want to find the slope in slope-intercept form of a line that is parallel to:

\displaystyle y=(1)/(2)x-2

And passes through the point (-8, 1).

Recall that parallel lines have equivalent slopes.

Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.

We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:

y-y_1=m(x-x_1)

Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:

\displaystyle y-(1)=(1)/(2)(x-(-8))

Since we want the equation in slope-intercept form, we can isolate y. Distribute:

\displaystyle y-1=(1)/(2)x+4

Therefore, our equation is:

\displaystyle y=(1)/(2)x+5

Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00am, stopped for lunch for 30 minutes, and stopped for two 15 minute breaks at rest areas. He arrived in Jacksonville at 2:15pm. What was his average rate of speed during his travel time? Please explain the steps to get the answer. Thanks!

Answers

To find the “Average Rate of Speed", we know we need the Total Distance and the Total Time. The Total Distance is 320 miles and the Total Time is 14:15 - 8:00 = 6:15 hours = 6.25 hours .So the Average Rate = 320 miles/ 6.25 hours = 51.20 mph.
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