Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
A similar problem is given at https://brainly.com/question/5427529
Worth 50 points!I need help plz!
Will mark brainliest to whoever does all the work.
A basket contains:
4 red Santa hats
6 green Elf hats
5 red jackets
7 green jackets.
Determine the probability of randomly selecting a green piece of clothing or a jacket.
(A)Use the addition rule to calculate this probability and explain your answer.
Do this equation P(AorB)=P(A)+P(B)-P(A and B)
(Write your answer as a percent.)
(B) are a green piece of clothing and a jacket mutually exclusive events?
Explanation/Answer:
Total: 4 + 6 + 5 + 7 = 22
Green: 6 + 7 = 13
Probability: 13/22
Note: It Is Not Mutually Exclusive Events
A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
Answer:
He save 55$+50$ which is 105$
Step-by-step explanation:
total for iguana is 135$ and parakeet is 90$
= 225$
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer: 0.84
Step-by-step explanation:
-9=-12+b
What is the equation?
Answer:
The answer is 3 because you have to add 12 to both sides to isolate b.
Step-by-step explanation:
THE EQUATION IS -9=-12+b.
If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
Answer:
i think factor the expression (r+7)(r+14) is answer
Step-by-step explanation:
Answer:
(r + 14)
Step-by-step explanation:
When factoring a trinomial in the form of:
[tex]ax^2+bx+c[/tex]
you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:
1, 98
2, 49
7, 14
and the reverse of all of those is also true.
Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:
[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]
Finally, you can factor each half of this individually.
[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]
We were already given (r + 7), so the answer is (r + 14).
PLEASE HELPPPPP
Write the equation of the circle in standard form from the given information. Show all work.
Center (0,0)
Diameter = 14
HELPPP PLS :)
find the value of x.
Answer:
9
Step-by-step explanation:
4x - 2 = 34 measure of two legs of isosceles triangle are equal
4x = 36
x = 9
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each unit rate is equivalent or not equivalent to
Equivalent
Not Equivalent
the unit rate, in inches per year, of growing inch in Ğ of a year
the unit rate, in lessons per hour, of finishing of a lesson in hours
the unit rate, in miles per hour, of jogging 1/8 mile in 3/8 hour
Step-by-step explanation:
1/2 inch in 2/3 of a year
1/2 / 2/3 = 1/2 × 3/2 = 3/4
NOT equivalent.
4/9 lesson in 4/3 of an hour
4/9 / 4/3 = 4/9 × 3/4 = 12/36 = 1/3
Equivalent.
1/8 mile in 3/8 of an hour.
1/8 / 3/8 = 1/8 × 8/3 = 8/24 = 1/3
Equivalent.
Pls help as soon as possible thank you
Answer:
D
Step-by-step explanation:
F(g) falls between 0 and 49.58
Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?
It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.
In Economics, the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."
In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.
learn more:
https://brainly.com/question/25585026
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
Evaluate. Express your answer in scientific notation.
4.36 x 104 – 41, 600
Answer: 3.456 × 1011
Step-by-step explanation:
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answer:
-12x²-48x-42.5
Step-by-step explanation:
Number 1. What is 42% of 80
Answer:
The answer is 33.6.
Hope that helps?
Step-by-step explanation:
evaluate the expression for h= -6.
Answer:
63-|-6| = 57
Step-by-step explanation:
63-|-6|
63-6
57
Answer:
57
Step-by-step explanation:
Substitute -6 for variable h.
[tex]63-|(-6)|\\63-6\\57[/tex]
Whta is the geometric mean of 5 and 36
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
Please help I'll mark brainliest
A cook came across two cups and one saucer in a kitchen cupboard.
Bored for something to do, she weighed each item.
Altogether, the three items came to 12 ounces.
The larger cup with the saucer weighed exactly double of the smaller cup.
The smaller cup with the saucer weighed exactly the same as the larger cup.
What did each item weigh?
Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces
Step-by-step explanation:
Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?
Answer:
15.3 GAL.
Step-by-step explanation:
I will mark brainly, help me with this question please.
Step-by-step explanation:
Since [tex]x[/tex] varies directly as [tex]\sqrt{y}[/tex] we can write the relation as
[tex]x = k\sqrt{y}[/tex]
where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:
[tex]5 = k\sqrt{13} = k(13)[/tex]
[tex]\Rightarrow k = \dfrac{5}{13}[/tex]
b) The equation relation x and y can be written as
[tex]x = \dfrac{5}{13}\sqrt{y}[/tex]
c) When y = 9,
[tex]x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}[/tex]
Sara says, "If you subtract 17 from my number and multiply the difference by - 4, the result is
- 60." What is Sara's number?
Answer:
32
Step-by-step explanation:
ok to the result is - 60 she said. So then we know that in order to get -60, you had to subtract 17 from the original number and multiply by -4.
equation is this: (x-17)×-4= -60
Next, we solve using pemdas!
x-17=[tex]\frac{-60}{-4}[/tex] (keep in mind that a negative cancels out a negative!)
add 17 to both sides
x= [tex]\frac{-60}{-4}[/tex]+17
So then now that you have the new equation you simplify!
x= 32
Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?
Answer:
9
Step-by-step explanation:
375 - 150 = 225
225 / 25 = 9
Answer:
I believe the answer would be 9 weeks
The values in the five-number summary divide a data set into four quarters.
A. True
B. False
Answer:
The values in the five-number summary divide a data set into four quarters.
→ True
Mark me as brainlist plz :)
Answer:
the answer is TRUE
Step-by-step explanation:
I need the anwser to this right now please
Answer:
b. 9
Step-by-step explanation:
2+9=11
11+11=22
22+6=28
58. What is the equation that best represents the graph (0,5) (3, 3) (6, 1)
Answer for brainliest
Please look for the question in the picture.
Answer:
I beleive the missing value is -3
Step-by-step explanation:
if you plug -3 into the pink box it will give you the result of -5
(anyone is free to correct me)
Marsha is driving 630 otal miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps! :)
Please solve the question on the file.
Answer:
Step-by-step explanation:
they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.
What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?
For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank
1/4 x \leq -3
Answer:
x<=-12
Step-by-step explanation:
1/4x<=-3
*Multiply both sides by 4
x<=-12
and it's solved :)