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3 years ago

What is the value of y? A. y = -1 B. y = 0 C. y = 1 D. y = 3

Mathematics

1 answer:

luda_lava [24]3 years ago

4 0

KT is twice the length of TM.

Multiply TM by 2:

TM = 2y +6

Now set KT and TM to equal and solve:

5y +3 = 2y +6

Subtract 3 from each side:

5y = 2y +3

Subtract 2y from each side:

3y = 3

Divide both sides by 3:

y = 3/3

y = 1

The answer is C.

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A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

sineoko [7]

Answer:

The equations system is:

x + y = 10

0.5x + 0.9y = 6

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

The equations system is:

x + y = 10

0.5x + 0.9y = 6

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

6 0

3 years ago

Pleaseeeee answer this questionnnn it would mean alot please show work and explain thanks☺

Juli2301 [7.4K]

Answer:

Shown in the picture

Step-by-step explanation:

Set the value of x to "5" and "30" to find the corresponding values of y (i.e. the altitudes of the plane at 5 or 30 minutes after beginning descent).

Use the the same method to determine the set of coordinates (/ordered pairs) at each of the values for x given in part B of the question.

The initial value is simply the starting value of y, or in other words, the altitude at which the plane begins to descend in this context;

So it will be 0 mins after the beginning of descent of the plane, i.e. when x = 0, therefore the answer is (0, 28000) as an ordered pair or simply 28000 ft.

Rate of change is a fancy or more technical way of referring to the gradient of a function;

In this case of the context of a plane descending, it refers to the change in altitude over time;

This can be calculated using any two ordered pairs (or coordinates as I call them) using the formula of the difference in the y values divided by the difference in the x values.

4 0

4 years ago

What is the value of x in the equation x+.2x=96

Scilla [17]

Answer:

x = 80

Step-by-step explanation:

1x + 0.2x = 96

1.2x = 96

Divide both sides by 1.2

x = 80

8 0

3 years ago

Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 15,044. what are the offi

AlladinOne [14]

Let one of the number be x
The other number will be x + 2

x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523

The office number is 7521 and 7523

6 0

3 years ago

How do u graph 2y=-4x+6

gladu [14]

Answer:

3 would be your y intercept

then from the point 0,0 put 2 in as slope

Step-by-step explanation:

First turn the equation into y=mx+b (slope-intercept form)

Which turns into y= -2x+3

in y=mx+b

m is slope and b is y intercept

3 would be your y intercept

then from the point 0,0 put 2 in as slope

Hope this helps! have a nice day! Please consider making me Brainliest!

4 0

3 years ago