Answer:
2x+3x=180°
that is 5x=180°meaning x=32°
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on taking
out a 5-year loan at an APR of 4.21%. What is the monthly payment?
Answer: Alan's monthly payment would be $973.53.
Answer:
Alan monthly payment is going to be $56
Step-by-step explanation:
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
If you want to learn more about expected value, you can read:
https://brainly.com/question/22097128
Answer:
-1/6
Step-by-step explanation:
Need help !!!!!!!!!!!!!!!!!!!
please i need help with this
Given :-
Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .To Find :-
The equation of line q .Solution :-
The equation of the line p is ,
[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]
[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]
[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)
[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6
[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x
[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9
Hence the required answer is y = -3/5x - 9 .
Answer:
For Perpendicular lines you have to know
Step-by-step explanation:
Slope of P ×slope of q=-1 (always since they are perpned..)
so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p
so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes
And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b
so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3
uniting the denominater ==>y=-3/5x - 45/5
so that q equation is :y=-3/5x - 9
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Please help me with my Geometry.
Step-by-step explanation:
2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :
1. support post (14ft), post to back (b), the long roof line
2. front to post (f), support post (14ft), dotted line
so, because the multiplication factor is the same for the sides, the ratio
"support post" / f
must be the same as
b / "support post"
14 / f = b / 14
b = 14²/f = 196/f
and then we know that
f + b = 53
by putting the first into the second equation we get
f + 196/f = 53
f² + 196 = 53f
f² - 53f + 196 = 0
the solution of such a quadratic equation in general is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = f
a = 1
b = -53
c = 196
f = (53 ± sqrt(53² - 4×1×196))/(2×1) =
= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =
= (53 ± 45)/2
f1 = (53 + 45)/2 = 98/2 = 49
f2 = (53 - 45)/2 = 8/2 = 4
as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.
therefore, the support post is positioned 4ft from the front of the house.
Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
What is the slope of the line in this graph?
The slope of the line 5/7.
How do i know this?
Well the slope of a line is considered as rise/run.
So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.
Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.
Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.
Your welcome! :D
The longest side of a triangle is always opposite the:
Answer:
angle with the greatest measure
Step-by-step explanation:
the greater length of the triangle is always opposite from the greater angle. hope this helps :)
The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?
Answer:
27.5
Step-by-step explanation:
phythagorean theorum please help
Answer:
14
Step-by-step explanation:
so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part
$8.28
______
0.3 m
or
$13.00
______
0.4 m
What are the unit prices of each and which one is a better buy?
Answer:
1st
Step-by-step explanation:
1) 1m cost = $8.28/0.3=$27.60/m
2) 1m cost = $ 13.00/0.4=$32.5/m
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Answer:
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .The Independent variable is the numbers of months after the first year .The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .Step-by-step explanation:
Hope this helps you !!The equation `F=\frac{9}{5}C+32` relates temperature measured in degrees Celsius, `C`, to degrees Fahrenheit, `F`. Determine whether there is a proportional relationship between `C` and `F`. Explain or show your reas
Answer:
No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.
Step-by-step explanation:
The formula is
F=(9/5) C+ 32
F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.
In mathematics, a direct proportion has the form
y=mx
where m is a constant.
If the formula had been F=(9/5) C, it would have been a direct proportion.
However, the addition of the + 32 term makes the formula no longer a direct proportion
Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.
Answer:
-13
Step-by-step explanation:
negative 13 = -13
Can someone Please help me on this math problem
Answer:
2
Step-by-step explanation:
each time that x gains 1, y gains 2
2/1=2
Someone plz help me! I’m begging!! :(
Answer:
Option D
Step-by-step explanation:
Expanding option A equations:
8 + (3 * y) = 8 + 3y
(8 + 3) * y = 11y
∴ not equivalent.
Expanding option B equations:
(7 - 3) * y = 4y
7 - (3 * y) = 7 - 3y
∴ not equivalent.
Expanding option C equations:
(6 ÷ y) + 13 = [tex]\frac{6}{y} + 13[/tex]
13 + (y ÷ 6) = [tex]13 + \frac{y}{6}[/tex]
∴ not equivalent.
Expanding option D equations:
7 + (y * 5) = 7 + 5y
7 + (5 * y) = 7 + 5y
∴ equivalent.
Hope this helps!
Plz Help....(MATH)......
Answer:
2 [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
20 lbs distributed throught 7 days is [tex]\frac{20}{7}[/tex] which simplifies to 2 [tex]\frac{6}{7}[/tex]
HELP!...................................................
You start your Thanksgiving morning doing the Turkey Trot, a 5K run, with friends. Your mom said you need to be at the Thanksgiving celebration by 11:30am to help prepare the side dishes. In order to get there on time, you have to plan ahead. The Turkey Trot starts at 8:00am. You have allotted 1.25 hours after the trot to stretch, and get home. It takes you 0.75 hours to shower and get ready. The drive to the Thanksgiving dinner is 0.9 hours. At what speed (in km/hr) do you need to run the Turkey Trot in order to still be on time to Thanksgiving on time?
Answer:
1.6 hrs remaining, or 3.12 km/h
Step-by-step explanation:
the length of 2x metres and it's width is 2 metres shorter than its length. what is the area of the rectangle
Answer:
4x^2-4x
Step-by-step explanation:
2x*(2x-2)
(2x)(2x)+(2x)(−2)
[tex]4x^2-4x[/tex]
Hope this helped! :)
How much money, in dollars, is available on his card after he takes 0
rides?
Answer:
However much he had on his card in the first place.
Step-by-step explanation:
Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
Edwin is selling 5 candy bars for $6. what if 5 was 1
Answer:
$ 1.2
Step-by-step explanation:
you need to divide 6/5 and then that's the answer.
Determine the intercepts of the line. Do not round your answers.
Answer:
-14/9, -14
Step-by-step explanation:
y = -9x - 14
For x intercept, replace y with 0 and solve.
0 = -9x - 14
14 = -9x
-14/9 = x
- 1 5/9 = x
For y intercept, replace x with 0 and solve.
y = -9(0) - 14
y = -14
Cole had 20 dollars to spend on 3 gifts. He spent 11 9 /10 dollars on gift A and 5 3 /5 dollars on gift B. How much money did he have left for gift C?
Answer:
$2.50
Step-by-step explanation:
11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50
20 - 17.50 = 2.50
Find the slope for (3,1)and (4,3)
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
Determine the measure of the angles.
Answer:
E=118
K=50
Step-by-step explanation:
I=E
E=118
K=360-118-118-74 (sum of angles in quad)
K=50
PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST
Answer:
1. is a solution
2. is a solution
3. not a solution
4. not a solution
5. not a solution
6. is a solution
7. is a solution
8. not a solution
Step-by-step explanation:
1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation: