1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
almond37 [142]
2 years ago
8

If 2/3 + p = 1 and 4/5+ q = 3, what is the value of p+q?

Mathematics
1 answer:
inessss [21]2 years ago
5 0

Answer:

p+q = 38/15

Step-by-step explanation:

2/3+p = 1. p = 1 - 2/3

4/5 + q = 3. q = 3 - 4/5

p + q = 1 - 2/3 + 3 - 4/5

-2/3 - 4/5 (common denominator = 15)

4 - 10/15 - 12/15 = 4 - 22/15

4 - 22/15 = (4*15 - 22)/15

= 38/15

You might be interested in
What is the solution to the system? <br><br> (___,___)
Rina8888 [55]
For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

1=-6+b

b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)


6 0
3 years ago
F(x) = 2-4<br> Find f(2)
Jet001 [13]

Answer:

-8

Step-by-step explanation:

So first off, x is 2-4. So that's the default. It would be -2. If you multiply -2 by 2, it is -4.

8 0
10 months ago
A group of college students built a self-guided rover and tested it on a plane surface. They programmed the vehicle to move alon
makkiz [27]

Answer:

B. 40 meters

Step-by-step explanation:

— Estimating

The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.

The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.

Only one answer choice fits in the range 37 < d < 46.

____

— Detailed calculation

The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.

The circuit length is ...

AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters

4 0
3 years ago
Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bag
IceJOKER [234]

Answer:

one bag of popcorn costs - 5

Step-by-step explanation:

3 0
3 years ago
For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).
Goryan [66]

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

f(x) = 2x+1

And the other Linear function is the function g(x):

g(x) = x+14

In order to find (gof)(x), you need to follow these steps shown below:

<u>Step 1</u>:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

(gof)(x) = (2x+1)+14

<u>Step 2</u>:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that  (gof)(x) is:

(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15

5 0
3 years ago
Other questions:
  • Suppose you are given two quadrilaterals, ABCD EFGH. If the similarity ratio of ABCD to EFGH is 4:3, and if EH = 60, find AD.
    11·1 answer
  • What does approximately mean in math
    7·2 answers
  • Hurry please!!<br><br> 2p+ 7 = p +9
    8·2 answers
  • Select all of the possible degrees of this polynomial function<br> 2<br> 3<br> 4<br> 5
    5·2 answers
  • Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. If three pens cost $5.67,
    10·2 answers
  • In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. Th
    5·1 answer
  • 100 POINTS!!!!! help me with this and I swear on my life and everything I will give u 100 points, check my profile points if u d
    6·1 answer
  • (8x2 - 4x-8)(2x +3x+2)
    10·1 answer
  • Please help thank you so much!
    6·1 answer
  • Solve the system of linear equations.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!