The table below shows the total number of hours Jessica Emily and Trina each studied after given a number of weeks
Answers
Answer:
Trina's number of hours studied is proportional to number of weeks studied
[tex] y = 2.5x [/tex]
Step-by-step explanation:
The ratio of each pair in any given table of values must be the same all through, for the relationship between two variables to be considered proportional.
In this case, we are looking at the relationship between number of weeks (x) and total number of hours studied (y).
The ratio for a pair is given as: y/x
If the ratio value for all pairs are the same in any of the given table, then it is proportional.
❌For Jessica's table of values, the first, second and third pair of values have a ratio of 2.5, however, the fourth pair has a different ratio of 4 (y/x = 40/10 = 4). So, this relationship is not proportional.
❌For Emily, the first, and second pair has a ratio of 2.5 while the third and fourth has different ratio. This also isn't a proportional relationship.
✅For Trina, the relationship between hours studied and the given number of weeks is proportional, because all pairs have the same ratio. That is: y/x = 5/2 = 10/4 = 20/8 = 25/10 = 2.5
✍️A proportional relationship can be written as [tex] y = kx [/tex].
Where,
y = total number of hours
x = number of weeks
k = constant of proportional = 2.5 (the ratio between y to x)
To generate an equation that represents the proportional relationship in the table of values for Trina, simply plug in the value of k in [tex] y = kx [/tex].
Thus, the equation would be:
✅[tex] y = 2.5x [/tex].
Answer:
give the dude brainliest
Step-by-step explanation:
Related Questions
Is (10,8) a solution of y =1/2x+3
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
1/2=.5 and .5x10=5, 5+3=8 so that proves it is correct.
which ones are arithmetic or geometric ?
Answers
2) Arithmetic sequence
3) Arithmetic sequence
4) Geometric sequence (actually I’m not really sure because I looked this one up and it says it is neither arithmetic or geometric because there is no common difference)
Anyways, I hope this helps! You may want to check if that last answer is correct but hope you have a wonderful day ;)
6.
Circumference is the same as the area of a circle.
a. True
b. False
Answers
Answer:
TRUE
Step-by-step explanation:
i just know it :>
Solve the inequality 2x²+x-3<0
Answers
Answer:
[tex]-\frac{3}{2} <x<1[/tex]
Step-by-step explanation:
[tex]2x^{2} +3x-2x-3<0[/tex]
[tex]x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -\frac{3}{2},1[/tex]
[tex]x<-\frac{3}{2} \\-\frac{3}{2} <x<1\\x<1[/tex]
Solve six and two sixths times one and one half.
Answers
Answer:
9.5
Step-by-step explanation:
1.11111 as a fraction
Answers
Answer:
Answer:
1.11111=111111100000
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
1.11111=1.111111
Multiply to remove 5 decimal places. Here, you multiply top and bottom by 105 = 100000
1.111111×100000100000=111111100000
Simplify the improper fraction,
=111111100000
In conclusion,
1.11111=111111100000
Step-by-step explanation:
The fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.
To express the decimal 1.11111 as a fraction, we can use algebraic manipulation. Let's denote the repeating decimal as x:
x = 1.11111...
To eliminate the repeating part, we can multiply x by 10:
10x = 11.11111...
Now, we can subtract the original equation from the multiplied equation to eliminate the repeating part:
10x - x = 11.11111... - 1.11111...
Simplifying the equation:
9x = 10
Dividing both sides by 9:
x = 10/9
Therefore, the fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.
For more details of fraction equivalent of the repeating decimal:
https://brainly.com/question/19473335
#SPJ6
A:
Using this figure,
B' is the
of B.
reflection
prelmage
dilation
Image
Answers
Answer:
reflection
Step-by-step explanation:
The correct answer would actually be image... if you need to choose more than one option it could additionally be one of the other options but without a figure it's impossible to tell.
Directions: Find the missing wall in feet.
Answers
Answer:
2.6?:))))
......
It is known that a particular laboratory task takes the average person 2.5 seconds (the variance is not known). A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude?
Answers
Complete Question
It is known that a particular laboratory task takes the average person 2.5 seconds (the variance is not known). A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude? (Use the .05 significance level and use the five steps of hypothesis testing.)
Answer:
The researchers conclusion is
There is no sufficient evidence to show that older people are slower at the laboratory task
Step-by-step explanation:
From the question we are told that
The mean time is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{2.7 - 3 }{ \frac{1.4}{\sqrt{30} } }[/tex]
=> [tex]z =0.78[/tex]
From the z table the area under the normal curve to the right corresponding to [tex]z =0.78[/tex] is
[tex]p-value = P(Z > 0.78) = 0.2177[/tex]
From the value obtained we see that the p-value > [tex]\alpha[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the older people are slower at the laboratory task
Daniela has 2 1/4 basketball games left to play in a tournament, and she has 3/4 gallon of water left to drink. If she drinks the same amount of water each game, how much water can she drink each game? *
Answers
Answer:
1/3 gallons of waterStep-by-step explanation:
If Daniela has 2 1/4 basketball games left to play in a tournament, and she has 3/4 gallon of water left to drink, since she drinks the same amount in each game, we can say;
2 1/4 games = 3/4 gallons
To calculate how much he has to drink in a game, this can be expressed as;
1 game = x gallon
Solve for x;
2 1/4 games = 3/4 gallons
1 game = x gallon
Cross multiply
3/4 = 2 1/4x
3/4 = 9/4 x
9x/4 = 3/4
cross multiply;
9x * 4 = 4*3
36x = 12
x = 12/36
x = 1/3
Hence she can drink 1/3 gallons of water in each game.
f(x)=−3x 2 −6x+1 Find f(8)
Answers
Answer:
-239
Step-by-step explanation:
-3(8) 2-6(8)+1
-192-48+1
-240+1
=-239
Answer:
-239
Step-by-step explanation:
I only have 2 more including this pls help
Answers
Answer:
"Some irrational numbers are whole numbers" False
"All rational numbers are integers" False
"All integers are whole numbers" False
"No integers are irrational numbers" True
Step-by-step explanation:
I'm 100% sure of this
(GIVING BRAINLIEST TO WHO HELPS ME!!)
What causes lightning?
A) Build up of electric charges in the clouds
B) Flow of electric charges among clouds
C) Light energy created in the clouds
D) Reflection of light by the clouds
Answers
Answer:
B
C and D are already out of the picture since we know lightning is not just light.
Answer:
Build up of electric charges in the clouds (A)
Step-by-step explanation:
PLEASE HELP ME FIRST ANSWER GETS BRAINLIST
Answers
Answer:
2 its given that cd bisects ab at e so that means e is midpoint of ab
3. vertically opposite angles
4.By SAS congruence
a line passes through the point (-8,6) and has a slope of 3/4 in general form
Answers
Answer:
y = 3/4x + 12
Step-by-step explanation:
let equation of the line be y = 3/4x + b
sub (-8, 6):
6 = 3/4(-8) + b
12 = b
therefore equation of the line is y = 3/4x + 12
Topic: Coordinate Geometry
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
Step-by-step explanation:
We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.
The general form of linear equation is [tex]Ax+By+C=0[/tex]
First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.
Where m is slope and b is y-intercept.
We are given slope = 3/4 but y-intercept is not given and we need to find.
Finding y-intercept
Using the point (-8,6) and slope m = 3/4 we can find y-intercept
[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]
So, y-intercept b is 12
Equation of line
The line has slope m=3/4 and y-intercept b is 12, the equation is:
[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]
General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:
[tex]\frac{3}{4}x-y+12=0[/tex]
The advertising sticker on Allen's
new car says it gets 36 miles per
gallon on the highway. The graph
represents the actual relationship
between the number of miles Allen
drove on the highway and the
gallons of gasoline his new car used.
How does the advertised gas
consumption rate compare to the
actual rate?
Answers
Answer:
Step-by-step explanation:
The rate in this case is slope of the line. The formula of a slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(10, 325)
(4, 130)
m = [tex]\frac{325-130}{10-4}[/tex] = [tex]\frac{195}{6}[/tex] = 32.5 miles per gallon
The actual rate is less (better) than advertising.
Two pools are being filled with water. To start, the first pool had 728 liters of water and the second pool was en pty. Water is being added to the first pool at a rate of 23 liters per minute. Water is being added to the second pool at a rate of 37 liters per minute. Let x be the number of minutes water has been added. Write an equation to show when the two pools would have the same amount of water. You do NOT need to solve this.
Answers
Answer:
52 minutes
Step-by-step explanation:
Equation:
[tex]728+23x=0+37x\\728+23x=37x\\728=14x\\x=52[/tex]
So 52 minutes.
Hope this helps plz hit the crown :D
What is the slope of the line y = 3?
Answers
Answer:
zero
Step-by-step explanation:
Is the graph increasing, decreasing, or constant where -3
Answers
How to solve the triangle given one angle and 2 sides. I want help solving the problem not just an answer, thanks.
Answers
A. Use the law of cosines:
29² = 34² + c ² - 2•34•c cos(30.3°)
Use a calculator to solve for c ; notice this equation is quadratic, you get two possible solutions, c ≈ 5.973 ≈ 6 or c ≈ 52.738 ≈ 53.
Then use the law of sines to solve for the two possibles measures of angle C :
sin(30.3°)/29 = sin(C )/c
sin(C ) = c sin(30.3°)/29
sin(C ) ≈ 0.1039 or sin(C ) ≈ 0.9175
C ≈ 6.0° or C ≈ 66.6°
The interior angles of any triangle sum to 180°, so the remaining angle has measure either
B = 180° - 30.3° - C
B ≈ 143.7° or B ≈ 83.1°
So to recap,
B ≈ 143.7°, C ≈ 6.0°, c ≈ 6
and
B ≈ 83.1°, C ≈ 66.6°, c ≈ 53
As Sally was shopping for a turkey tree for Thanksgiving, she looked at 48 trees. Of those, she found that 7/8 of them were too small. How many of the trees were too small?
Answers
Answer:
42 treesStep-by-step explanation:
48/1 x 7/8 = 6/1 x 7/1 (Simplify 48 and 8 because they have the common factor of 8)=42/1= 42Answer:
Forty-two (42) of the trees were too small.
Step-by-step explanation:
Find 7/8 of 48.
[tex]\frac{7}{8}[/tex] = 0.875
Multiply the quotient (0.875) by 48 to find [tex]\frac{7}{8}[/tex] of 48.
0.875 × 48 = 42
Please explain your answer guys? First to answer gets brainliest!
Answers
Answer:
[tex]m=\frac{-5}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points on the graph.
Point (-4, 4)
Point (2, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-4}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-5}{6}[/tex]And we have our answer!
A force of 720 newtons stretches a spring 3 meters. A mass of 60 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion.
Answers
Answer:
7.6
Step-by-step explanation:
HELPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
7. <35
8.<5
9.>50
Step-by-step explanation:
simple mathematics
Someone please help me Dan and Beth are selling flowers for a school fundraiser customers can buy bags of rows and daffodils Dan sold 1 bag of roses and 1 bag of daffodils for a total of $12 Beth sold 1 bag of roses and 3 bags of daffodils for a total of $28 what is the cost each flower
Answers
if a point in quadrant 2 is reflected in y-axis, its image will lie in quadrant
Answers
Answer:
quadrant 1
hope this helps
Starbucks medium roast coffee costs $10.98 for 20 ounces. What is the unit rate per ounce?
Answers
Answer:
1 ounce is .549 cents
Step-by-step explanation:
Answer:
The unit rate per ounce is $0.55.
Step-by-step explanation:
is _____. hjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answers
Answer:
o.6
Step-by-step explanation:
I think sorry if wrong
Identify the sample space of the probability experiment and determine the number of outcomes in the sample space.
Playing a game of roulette, where the wheel consists of slots numbered
00,0,1,2,...,48
To play the game, a metal ball is spun around the wheel and is allowed to fall
into one of the numbered slots.
Identify the sample space.
A). the sample space is (00,0)
B). the sample space is (00).
C). the sample space is (1,2,...,48)
D). the sample space is (00,0,1,2,...,48)
Answers
Answer:
D
Step-by-step explanation:
Please answer see the image
Answers
Explanation: I worked it out
Answer:
39 km²Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (3 x 3) + (1/2 x (3*4) x 5)
= 9 + 30
= 39 km²