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
Nutka1998 [239]
3 years ago
13

Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4) y=

Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

You might be interested in
Please help me with this if you can? thanks alot :)))​
Lynna [10]

The probabilities are:

  • P(red) = 5/24
  • P(orange) =  0
  • P(blue) =  1/3
  • P(not green)= 17/24
  • P(green or black) = 11/24
  • P(not yellow)  = 1.

<h3>How to find the probabilities?</h3>

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

  • 5 red marbles.
  • 7 green marbles.
  • 4 black marbles.
  • 8 blue marbles.

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

  • P(red) = 5/24
  • P(orange) = 0/24 = 0  (because there are 0 orange marbles).
  • P(blue) = 8/24 = 1/3
  • P(not green) = (24 - 7)/24 = 17/24
  • P(green or black) = (4 + 7)/24 = 11/24
  • P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).

If you want to learn more about probability, you can read:

brainly.com/question/251701

#SPJ1

5 0
2 years ago
You have a bag that contains 20 quarters, 20 dimes, and 15 nickels. When randomly selecting two coins with no replacement find t
iogann1982 [59]

Answer:

P(2 quarters) = 19/ (13*16) = 19/208  = 0.0913

Step-by-step explanation:

probability of getting 2 quarters?

ok

first draw:  there are 20 quarters to choose from

second draw: there are 19 quarters left to choose

so Total coins are 65 coins

P(2 quarters) = P( 1st quarter)* P(2nd quarter)

P(2 quarters) =  20/65   *   (19/64)

P(2 quarters) = 4/13 *  19/64

P(2 quarters) = 19/ (13*16) = 19/208

4 0
3 years ago
a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo
allochka39001 [22]

The water will last for 3 days

<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

volume\ of\ tank = length \times breadth \times height

Volume\ of\ tank = 20 \times 15 \times 6 = 1800

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

<em><u>Therefore, water required for 4000 people per day is:</u></em>

\rightarrow 4000 \times 150 = 600000 \text{ liters }

Convert to meters

600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3

<em><u>How many days will the water of this tank last?</u></em>

\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}

\text{Number of days water will last } = \frac{1800}{600} = 3

Thus the water will last for 3 days

5 0
3 years ago
Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of
pochemuha

Answer:

Answer: Osvoldo did not meet his goal.

Step-by-step explanation:

Total carbohydrate ate by Osvoldo = 220 g

carbohydrate from grains = 55 g

Percentage of carbohydrate of grain is

\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}

=

Total carbohydrate

carbohydrate taken from grains

×100

=

220

55

×100=25%

Goal of getting carbohydrate from grains = at least 30%

but he ate only 25% of carbohydrate

Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.

8 0
3 years ago
Which of these strategies would eliminate a variable in the system of equations?
Fofino [41]

Answer:

yes because a is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do you find the intersection points given 2 or more equations in a ti-84 calculator?
    7·1 answer
  • An equation is shown below:
    8·2 answers
  • Ethan put $150 into a CD that pays 3% interest, compounded monthly. According to the rule of 72, approximately how long will it
    15·2 answers
  • How to do the inequality 6/5x&gt;-3/2
    11·1 answer
  • Matias spent 2 hours studying for an exam, and he received an A on the exam. Normally, he would have spent that time watching TV
    6·1 answer
  • Four time the diffrence of eight and a number​
    13·2 answers
  • What is the value of<br> (24-5)<br> 17<br> 2<br> -44<br> -41<br> 13<br> -28<br> 2<br> 30
    14·1 answer
  • Help me plsss!!!<br><br> A) 50 degrees<br> B) 55 degrees<br> C) 60 degrees<br> D) 65 degrees
    11·2 answers
  • |x-5|&gt;6 <br> Please help me thank you
    11·1 answer
  • Can the numbers 12,6 , 6 be used to form the sides of a triangle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!