Answer:
y=¼x
Step-by-step explanation:
Parallel lines have the same slope
The slope of the given line is ¼,thus,
y-¼x+7=0
y=¼x-7
Now using the point-slope form y-y1=m(x-x1)
y-1=¼(x-4)
4y-4=x-4
4y=x-4+4
4y=x
y=¼x
5) Out of a group of 40 students, 14 are taking English, 29 are taking Chemistry, and 5 are
taking both English and Chemistry.
a) Draw a Venn diagram to represent this situation.
b) How many students are in neither class?
c) What is the probability that a randomly-chosen student from this group is taking only
the Chemistry class?
a. Venn diagram attached below.
b. 2 students are in neither English nor Chemistry.
c. The probability that a randomly chosen student is only taking chemistry is 24/40, or 6/10 because out of the 40 students, 24 of them take exclusively the chemistry class.
tony is taking a 5 year loan in the amount of $15,000. The interest is continuously compounded at an annual rate of 7%. How much will he owe, in dollars, at the end of the loan term?
Answer:
$21,038.28
Step-by-step explanation:
Use the equation 15000(1.07)^5 since 1.07 equals to 7% and you are loaning more money to Tony's account for 5 years. You should get $21,038.28 as your result.
Answer: 21286
Step-by-step explanation:
(5y-12)+(-5y-1) find the sum
Step-by-step explanation:
Given
(5y - 12 ) + ( -5y - 1)
= 5y - 12 - 5y - 1
= 5y - 5y - 13
= - 13
Hope it will help):)❤
any helllp please
i neeed help pleasee
Quadrilateral ABCD has the following vertices:
A(-6, -2)
B(-4,4)
C(8,1)
D(6, -6)
Also, ZA is a right angle.
Is quadrilateral ABCD a rectangle, and why?
answers: (ignore the chosen one)
Answer:
It b
Step-by-step explanation:
All 3 sides of the shape is parallel as well as A so therefore is b
Answer:
No, because AB is not parallel to CD
Identify a2. in the sequence below.
12, 7, 2, -3..
Answer: -7 This may be wrong. Sorry if it is.
Write a decimal that the model represents
Answer:
number = 0.011
Step-by-step explanation:
Decimal Representation
The model is shown in the figure. It has a form of a cube where each face is divided into 10 equal squares, forming a 10x10x10=1,000 smaller cubes piece.
Out of that 1,000 cubes, only 11 are shaded. This leaves us to think the decimal represented by the model is the division between the shaded cubes by the total cubes, thus:
[tex]number= \frac{11}{1,000}[/tex]
Dividing:
number = 0.011
HELP!
Jessica is an elite marathon runner. For her most recent long run, she ran 15 miles in 90 minutes. What is her speed?
Answer:
10 mph
Step-by-step explanation:
So speed is usually written in miles per hour (mph) so I'm assuming that's how you want it.
90 minutes is 1.5 hours
15/1.5=10
When paying for purchases, debit cards ____.
Are cash
Are exactly like credit cards
Take money directly from your account
Have no additional benefits like cash
Answer: Are exactly like credit cards
Step-by-step explanation:
You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
A 1/5
B 1/6
C 1/8
D 5/24
Answer:
A) 1/5
Step-by-step explanation:
There are 25 candies total, and you want to choose the 5 orange candies there.
That's 5/25.
Simplifying, we divide both sides by 5.
Thus, we get:
1/5.
Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.
Answer:
(B)
Step-by-step explanation:
Let us denote rectangular tiles by R and square tile by S, then
According to figure.
3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles
∴3R+2S+2R=2R+4S+R+4S
⇒5R+2S=3R+8S
⇒5R-3R=8S-2S
⇒2R=6S
⇒R=3S
Hence, 0ne rectangle =3 square
James can buy 12muffins for $9.60 or 3 muffins for $2.70. Which is the better deal?
Answer:
12 muffins for $9.60
Step-by-step explanation:
Devon's team has won 21 games and lost 7 this season. What is the
approximate probability that his team wins the next game it plays?
Answer:
i think is A
Step-by-step explanation:
Answer: probability of won=
no. of won match=21
no. of total match=28
so they cut and made 3/4
probability of lost match=
no. of lost match=7
no. of total match=28
so they cut and made 1/4
HOPE THIS HELPS
Krutika was thinking of a number. Krutika doubles it, then adds 19 to get an answer of 65. What was the original number?
Answer:
i tink its 46 yhhhhh
What is the divisor in the following problem? 18 + 6 = 3 .
Help ASAP find the values of x and y
Answer:
x = 48° and y = 70°
Step-by-step explanation:
As it is an isosceles triangle so base angles of isosceles triangle are equal
x +7° = 55°
x = 55° - 7°
Therefore x = 48°
Now
x + 7 = (48 + 7)°= 55°
Calculating the value of y as sum of angles of triangle is equal to 180°
y + 55° + 55° = 180°
y + 110° = 180°
y = 180° - 110°
Y = 70°
Hope it will help :)
Answer:
x=48
y=70
Step-by-step explanation:
Key skills required are triangles, isosceles triangles, one variable equations, interior angle sums
1) You have to start with the fact that the triangle is isosceles. This means that the 2 base angles (x+7 and 55) are equal to each other.
An isosceles triangle has 2 sides equal and 2 angles equal.
2) With the explanation above --> x+7=55
3) Subtract 7 from both sides and you will get x=48
4) The sum of all the angles in a triangle is 180 degrees. The two bottom angles are 55 degrees each, making their sum 55+ 55= 110 degrees.
5) 110 degrees + y degrees = 180
6) subtract 110 from both sides and y would equal 70.
Hope you understood and have a nice day!! :D
Aaron bought flowers for his mother. The flowers were half off the original price. He paid $1.12 in sales tax. If he paid a total of $15.57, what was the original price of the flowers?
Answer:
$7.225
Step-by-step explanation:
Answer:
D) 28.90
Step-by-step explanation:
28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)
a) For AQRS use the Triangle Proportionality Theorem to solve for x.
b) After you have solved for x, what is the Perimeter of AQRS?
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:
[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]
[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]
[tex] \frac{2x - 2}{13} = 2 [/tex]
Cross multiply
[tex] 2x - 2 = 2(13) [/tex]
[tex] 2x - 2 = 26 [/tex]
Add 2 to both sides
[tex] 2x = 26 + 2 [/tex]
[tex] 2x = 28 [/tex]
Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77
Hello guys come up on
ID = 4349418663
Pass = 1234
express each ratio as a fraction in simplest form .3km to 500m
3z + 6(2-5) = -48 i need help asap
Answer:
-10
Step-by-step explanation:
12-30
3z+12-30=-48
3z=-30
z=-10
There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced.
What is the probability you will get a red and then a yellow?
you have a 4/15 chance of getting red and a 5/14 chance of getting yellow staight after.
What % of 30 is 16.5
Answer:
55% is ur answer :)
Convert fraction (ratio) 16.5 / 30
There are 136 boys and 172 girls at Wood Middle School. There are 312 boys and 264 girls at Parker Middle School. What is the ratio of students at Wood Middle school to students at Parker Middle School? OA. B. 17 39 144 77 43 66 77 144
Answer: 77 : 144 or 77/144
Step-by-step explanation:
First find the total number of people for each school.
Wood Middle School : 136 + 172 = 308
Parker Middle School: 312 + 264 = 576
The ratio of students at Wood school to students at Parker Middle School is
308 : 576 = 77 : 144 or 77/144
Answer: 77 : 144 or 77/144
Step-by-step explanation:
First find the total number of people for each school.
Wood Middle School : 136 + 172 = 308
Parker Middle School: 312 + 264 = 576
The ratio of students at Wood school to students at Parker Middle School is
308 : 576 = 77 : 144 or 77/144
solve the question below
Step-by-step explanation:
done.....
............I got doubt about last answer...
Add the expressions
Answer:
to what?
Step-by-step explanation:
Answer:
x+y=z
Step-by-step explanation:
very easy need by morning answer please
Answer:
-9
Step-by-step explanation:
If the odds of winning the prize is 1 : 53 and If I purchased 84 tickets what are the odds of winning in percentage. Step by step?
Answer:
79.81% probability of winning.
Step-by-step explanation:
For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The odds of winning the prize is 1 : 53
This means that [tex]p = \frac{1}{53}[/tex]
If I purchased 84 tickets what are the odds of winning in percentage.
To win, at least one of the tickets must have the prize, of 84 tickets, so [tex]n = 84[/tex].
We have to find [tex]P(X \geq 0)[/tex], which is given by:
[tex]P(X \geq 0) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = C_{84,0}.(\frac{1}{53})^{0}.(\frac{52}{53})^{84} = 0.2019[/tex]
[tex]P(X \geq 0) = 1 - P(X = 0) = 1 - 0.2019 = 0.7981[/tex]
79.81% probability of winning.
Find ex and Y to the quadrilateral is a parallelogram.
Write the equation in standard form
using factoring.
f(x) = (2x
+
1)(x – 4)
Answer:
2x^2 - 7x - 4
Step-by-step explanation:
Given the expression f(x) = (2x+1)(x – 4)
To write it in standard form, we need to factorize it
(2x+1)(x – 4)
= 2x(x) - 2x(4) + x - 4
= 2x^2 - 8x + x - 4
= 2x^2 - 7x - 4
hence the expression in standard form is 2x^2 - 7x - 4