Answer:
[tex]y = -3x +8[/tex]
Step-by-step explanation:
The graph diagram is not given; however, the equation can be solved from the given points
(2,2) and (0,8)
This is represented as:
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (0,8)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 2}{0 - 2}[/tex]
[tex]m = \frac{6}{- 2}[/tex]
[tex]m =-3[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2 = -3(x - 2)[/tex]
[tex]y - 2 = -3x + 6[/tex]
Add 2 to both sides
[tex]y - 2 +2= -3x + 6+2[/tex]
[tex]y = -3x + 6+2[/tex]
[tex]y = -3x +8[/tex]
A rectangle and an equilateral triangle have the same perimeter. The perimeter of the rectangle is 6 ( 1 2 x + 5 ) inches. The perimeter of the triangle is 4 ( x − 2 ) inches. What is the perimeter of each figure?
Answer:
-328/34
Step-by-step explanation:
Here,
Perimeter of rectangle = 6(12x+5)
Perimeter of equilateral triangle = 4(x-2)
Since they are equal, 6(12x+5) = 4(x-2)
or, 72x + 30 = 4x - 8
or, 68x = -38
or, x= -38/68 or -19/34
Now,
Area of triangle ( or rectangle whichever you prefer)
= 4* -19/34 - 8
= -76/34 - 8
= - 328/34
The difference btwn increasing a number by 20% and decreasing the same number by15% is 14 what is the number?
Answer:
The number is:
[tex]n = 40[/tex]Step-by-step explanation:
Let 'n' be the number
Increasing a number by 20% = (n + n×20/100)Decreasing a number by 14% = (n - n×15/100)As the difference between increasing a number by 20% and decreasing the same number by15% is 14.
Thus, the expression becomes
[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]
[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]
[tex]\frac{7n}{20}=14[/tex]
Multiply both sides by 20
[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]
[tex]7n=280[/tex]
Divide both sides by 7
[tex]\frac{7n}{7}=\frac{280}{7}[/tex]
[tex]n=40[/tex]
Thus the number is:
[tex]n = 40[/tex]20% of 80
percentage idk what to put
Answer:
if you are asking 20% of 80, then its 16
Step-by-step explanation:
0.2 x 80 = 16
Answer:
25
Step-by-step explanation:
25
Percentage Calculator: 20 is what percent of 80? = 25.
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.
Can someone help me in this question
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
Each angle is bisected by the ray. Solve for x please!!
Answer:
See answers below
Step-by-step explanation:
The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.
Therefore:
#7 -> x=38
#8 -> x=144
#9 -> 2x=84 -> x=42
#10 -> x+3=30 -> x=27
Graph y=x+4,
I just need assistance on how i get the answer and the answer aswell
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)
Answer:
The probability that there is at least one pair but not a three of a kind is 0.6944.
Step-by-step explanation:
We have the case when we have five dices and we roll them and we need that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.
Total no of outcomes = [tex]6^5 = 7776[/tex]
We will consider the other cases and then subtract them from the total outcomes.
No of outcomes of 5 of a kind = 6
No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150
No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300
No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200
No of outcomes when all are different = 6! = 720
These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.
Total cases = 6+150+300+1200+720
= 2376
Required no of outcomes = 7776-2376 = 5400
Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944
Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.
PLEASE HELP ASAP THANK U!!!!
Answer:
3
Step-by-step explanation:
Factor the following polynomial: 12y5 – 8y3 + 24y2
A. 8y(2y4 – y2 + 3y)
B.4y2(3y3 – 2y + 6)
C. 4(3y5 – 2y3 + 6y2)
D. 4y(3y4 – 2y2 + 6y)
Answer:
The answer is B.
Step-by-step explanation:
12y5−8y3+24y2
=4y2(3y3−2y+6)
What is the quotient of 2/3 divided by 4 in simples form
Answer:
2/12 is equivalent fraction for 2/3 divided by 4
Step-by-step explanation:
2
3
&
4
2
3
÷
4= ?
step 2 Multiply 2/3 with reciprocal of 4
=2
3
x1
4
=2
12
The Quotient is 1/3.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.
Given:
2/3 divided by 4
As, division is not possible in fraction so we will perform the multiplication
= 2/3 ÷ 4
= 2/3 x 1/4
= 2/6
= 1/3
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ5
Can you guys please help me ill give brainliest
Answer:
The answer is C i think not that sure
Step-by-step explanation:
Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly
month 4: 13.25*4=53. 53+50 = 103
month 4: 25.75*4 = 103
They both cost $103 on month 4
PLEASE ANYONE! I need to create a inequality equation to make this shape on the graph.
9514 1404 393
Answer:
-4 < y < 4 and y < -3/2x +2
Step-by-step explanation:
The boundary line crosses the y-axis at y=2. It intersects another grid point 2 units to the right and 3 units lower than that, so it has a slope of ...
m = rise/run = -3/2
This means we can write the boundary line equation as ...
y = mx + b
y = -3/2x +2
__
We notice that the line is dashed, and shading is below it. This means the shaded area will satisfy the inequality ...
y < -3/2x +2
We also notice that the range of the graph is from y = -4 to y = +4, so we must have ...
-4 < y < 4 and y < -3/2x +2
Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25
Answer:
0.95
Step-by-step explanation:
[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]
[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]
Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77
Answer : what do i answer
Step-by-step explanation:
Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, how many would each person get?
Given :
Susan wanted to share her 37 seashells with her two younger brothers.
To Find :
If she divided her seashells between the three of them, how many would each person get.
Solution :
Let, each person will get x seashells.
So,
[tex]x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333[/tex]
But as we know seashells cannot be in decimal.
Therefore, each person will get exactly 12 shells.
What are the coordinates of the center and the
length of the radius of the circle whose equation is
(x + 1)² + (y – 5) = 16?
1) (1,-5) and 16
2) (-1,5) and 16
3) (1,-5) and 4
4) (-1,5) and 4
Answer:
I think 3 not sure don't angry if wrong
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation:
Which would produce a larger balance: an annual interest rate of 8.05% compounded monthly or an annual interest rate of 8% compounded continuously? Explain.
Answer:
8% compounded monthly has higher yield
Step-by-step explanation:
Here, we want to compare which of the two options would give a higher yield
An interest rate of 8% compounded monthly or 8% compounded annually
Let us say we are looking at a time frame of two years
If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times
While if it is annual, we would have only twice
The higher the number of times we compound, the more the return
Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park.
Complete question : Aaron ran 5/8 mile to his friend's house. Then he ran another 1/4 mile to the park. Find Aaron's total miles ran?
Answer:
7/8 miles
Step-by-step explanation:
Given that:
Distance to friend's house = 5/8 miles
Then, Distance to park = 1/4 miles
Total. Distance ran :
(5/8 + 1/4)
L.C.M of 4 and 8 = 8
(5 + 2) / 8 = 7/8 miles
Total distance ran = 7/8 miles
At what time is Ann driving 35 mph? show the work that leads to your answer
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
If you know this please help and explain this for me thanks
Answer:
y int is (0,5)
slope is m=-2
y=-2x+5
Step-by-step explanation:
The line has a slope of -2 and a y-intercept of y=4. (y=-2x+4)
Explanation: You can tell by where the line is landing on the x and y intercepts and it's as easy as counting lines. As far as the y-intercept goes, you can tell that by looking where the line crosses the y axis. And in this case it's (0,4) making your y-intercept, y=4.
What is the solution of the system of equations? Y=x-4 and y=-3x
Answer:
(-7,-3)
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!
help!! i'll give brainliest
Answer:
Im pretty sure D
Step-by-step explanation:
Which graph can be defined by the function y = -3x + 2
Answer:
Step-by-step explanation:
Write 5.5% as a fraction in simplest form
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
Tsunamis, or large tidal waves are generated by underwater earthquakes in the Pacific Ocean. The speed of the tsunami in meters per second is 3.1d, where di is the depth of the ocean in meters.
Answer:
hi
Step-by-step explanation:
so i thin is 38.00 why because te inequality
a= -3i
g=2i - 1lj
Find: -a - g
Answer:
Step-by-step explanation:
Given:
a= -3i
g=2i - 1lj
Solve:
-a - g
If l is an L then
-(-3i) - (2i-1lj)
i + lj
If I is an i then
-(-3i) - (2i-1ij)
i + ji
Simplify 5 to the power of negative 2 over 4 to the power of 6?
Answer:
Step-by-step explanation:
[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]