Answer:
x=45
Step-by-step explanation:
We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.
Answer:
y = 18
x = 46
measures of the angles:
8y - 102 = 42
2y + 6 = 42
3x = 138
Step-by-step explanation:
So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is, they will have the same measure.
Using this we know that opposite angles have to be congruent:
so
(2y + 6) = (8y -102)
now there is an algebra equation that can be solved by inverse operations and simplifying
2y + 6 = 8y - 102
+102 +102
2y + 108 = 8y
-2y -2y
108 = 6y
/6 /6
18 = y
Also, remember that two adjacent angles that form a line will add up to 180,
so
3x + (2y + 6) = 180
*note: I could have also used (8y - 102) but I choose to use (2y + 6)
so now substitute in the value of y that was found
y = 18
3x + (2 * 18 + 6) = 180
simplify
3x + ( 36 + 6) = 180
3x + 42 = 180
now use inverse operations
3x + 42 = 180
-42 -42
3x = 138
/3 /3
x = 46
Find the slope of the line
Answer:
Slope= -5/3
Step-by-step explanation:
I went to the grocery store to buy avocados. They were $3 for 4. How much will it cost me for 10?
Answer:
7.50$
Step-by-step explanation:
3+3+1.5=7.50$.
i need help with this
PLEASEE HELP MEEE what is the standard form of the following equation y= 5x + 0.5
A- 5x + y= 0.5
B- -5x-y= 0.5
C- -5x+y= 0.5
D- -5x+y= -0.5
Answer:
the standard form of y=5x+0.5 is B=-5x+y=0.5
Answer:
the answer is 5x - y= -0.5
Show work , simplifying expression
Answer:
100
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
x(x - y)²
x = 4
y = 9
Step 2: Substitute and Evaluate
4(4 - 9)²
4(-5)²
4(25)
100
5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009
The best choice is A)
when you add a zero, it does not count on a decimal, so,
1.9, 1.90, 1.900.
Answer:
the answer is a
Step-by-step explanation:
What is 3/4 plus 1 1/4?
Answer: 2
Step-by-step explanation:
you add the 3/4 to the 1/4 and get 4/4 which equals 1 next you add that to the 1 from the problem and get 2
if you need it in an improper fraction you can just say 8/4
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
Rate of change of the graph = 1
Step-by-step explanation:
Rate of change of the graph at any point is defined by the slope of the line at that point.
Since, slope of a line between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{\triangle y}{\triangle x}[/tex]
In other words, slope of a line between two points is given by the ratio of rise and run of the line between the given points.
Therefore, slope of the line passing through two points (0, 2) and (1, 3) will be,
m = [tex]\frac{3-2}{1-0}[/tex]
m = 1
Rate of change at x = 1 is 1.
can someone help me with this q6
Answer:
y=2X
Hope this helps!!!
Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?
Answer: 8 bags
Step-by-step explanation:
From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.
For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:
= 3 ÷ (3/8)
= 3 × (8/3)
= 8
Therefore, she will pack 8 bags of dried fruit.
A new car is purchased for 24800 dollars. The value of the car depreciates at 7.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 9000 dollars?
Answer:
pretty sure the answer is 13.5 years. sorry if wrong
Step-by-step explanation:
Which of these tables represents a linear function?
Answer:
B.
3 6
4 5
5 4
6 3
Step-by-step explanation:
As the x increases the y decreases
And there has to be a constant rate of change
The equation would be y = -x + 9
How to simplify 80/7
Answer:
[tex]11 \frac{3}{7}[/tex]
Step-by-step explanation:
80 divided by 7 is 11 with a remainder of 3.
Answer:
11 3/7
Step-by-step explanation:
How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
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Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before sales tax?
i need this now please
Answer:
19.20Step-by-step explanation:
$24.00 x 20% =
$4.80
$24.00 - 4.80 =
19.20
The sale price of a shirt after discount is $19.2.
What is discount?A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.
Given that, a shirt is marked down 20% off the original price.
The original price was $24.00
Sale price = 24-20% of 24
= 24-0.2×24
= 24-4.8
= $19.2
Therefore, the sale price of a shirt after discount is $19.2.
To learn more about the discount visit:
https://brainly.com/question/3541148.
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what is the equation of the line shown?
what is the equation of a parallel line with a y-intercept of -1?
Answer:
y = -⅓x + 1.
y = -⅓ - 1
Step-by-step explanation:
The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].
b = y-intercept, which is where the line intercepts the y-axis.
The line intercepts the y-axis at 1. Therefore b = 1.
m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].
Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:
y = -⅓x + 1.
The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.
Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.
Therefore, substitute m = -⅓ and b = -1 into y = mx + b.
y = -⅓x + (-1)
y = -⅓ - 1
The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1
Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.
Answer:
222.617
Step-by-step explanation:
WILL MARK YOU BRAINLIEST!!!!!!
Answer:
y = 136
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 82 + 54 = 136
Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7
9514 1404 393
Answer:
M = 141°, N = 39°
Step-by-step explanation:
Supplementary angles have a total measure of 180°, so ...
M + N = 180
(6x +3) +(2x -7) = 180
8x = 184 . . . . . add 4, simplify
x = 23 . . . . . . . divide by 8
∠M = 6·23 +3 = 141°
∠N = 2·23 -7 = 39°
Combine the like terms to create an equivalent expression:
-3z-z
Evaluate the following expression. $$(10 + 2) \div 6 + 5^3$$
Answer:5
Step-by-step explanation:
Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Richard = R & Teo = T
Richard & Teo are combined 41 it means R + T = 41
R = 8 + 2T
R + T = 41 #1
R = 8 + 2T #2
replace 2 in 1
8 + 2T + T = 41
8 + 3T = 41
3T = 41 -8 = 33
T = 11
R = 8 + 2*11 = 30
result = richard is 30 & teo is 11 years old.
2 times of Teo is 22
and 8 years older it means + 8
= 30
The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
In cm 360
In meters 3.6
Step-by-step explanation:
had the same question but had to answer in both and got em right
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.
Answer:
10
Step-by-step explanation:
For movie mania:
Sign-up fee = $ 20
Rent for 1 DVD = $ 4.00
For Hurricane video:
Sign-up fee = 0
Rent of 1 DVD = $ 6.
Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.
For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=20+4n
For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=0+6n=6n
Now, for both stores to charge the same, both the charges must be equal, we have
6n=20+4n
[tex]\Rightarrow 6n-4n=20[/tex]
[tex]\Righatarroe 2n=20[/tex]
[tex]\Rightarrow n =20/2=10[/tex]
Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.
Find the distance between the two points if rounded to the nearest tenth (-6,6) and (-3,3)
Answer:
3[tex]\sqrt{2}[/tex] units
Step-by-step explanation:
Given parameters:
Coordinates = (-6,6) and (-3,3)
Unknown:
The distance between them = ?
Solution:
To find the distance between two points, we use the expression below;
D = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
x₁ = -6 x₂ = -3
y₁ = 6 y₂ = 3
D = [tex]\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }[/tex] = [tex]\sqrt{18}[/tex]
D = 3[tex]\sqrt{2}[/tex] units
7. The width, w, of a bolt is supposed to be 2 cm, but it may have a 0.01-cm margin of error.
Solve the inequality lw - 2 30.01. What does the solution mean in this context?
PLEASE HELP
Answer:
to be honest.....I HAVE NO FRINKIN CLUE, i just answered to say that you have a cute name if thats your real name
Step-by-step explanation:
Congrats, you have reach the worlds biggest idiot
| CMON |
| LETS |
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| SOME |
| GANG |
| GANG |
| FORTNITE |
|-----------|
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help please !!! show work
Answer:
y = [tex]\frac{2w}{x^{2}}[/tex]
Step-by-step explanation:
To solve an equation for one of its variable do that
Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1Let us use these steps to solve our question
∵ w = [tex]\frac{1}{2}[/tex] x²y
→ Underline y
∴ w = [tex]\frac{1}{2}[/tex] x²y
→ Multiply both sides by 2 to cancel the denominator 2
∵ 2 × w = 2 × [tex]\frac{1}{2}[/tex] x²y
∴ 2w = x²y
→ Divide both sides by x² to move it to the left side
∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]
∴ [tex]\frac{2w}{x^{2}}[/tex] = y
→ Switch the two sides
∴ y = [tex]\frac{2w}{x^{2}}[/tex]
2/5(a+2b)^2 (if a=3 and b=-4)
The answer is 10. Hope this helps.
Multiply the numbers
2/5 •(3-8)^2
Subtract (3-8)
2/5• (-5)^2
A negative base raised to an even power equals a positive
2/5• (5)^2
Reduce the expression with 5.
2•5
10