The proportional equation that represents the relationship in the table is given as follows:
d = km
In which k is the number of miles he drives per minute(the ratio of the values in the table).
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant of proportionality is the number of miles he travels in a minute, which is the ratio of the distances in the table. Hence the equation is given by:
d = km.
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In the past month, Joe rented 5 video games and 4 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Joe spent on video game and DVD rentals in the past month?
Answer:
$26.2
Step-by-step explanation:
5*2.50 is 13 for video games
4*3.30 is 13.2 for DVD
Sum them up and you get 26.2
I need a answer for this:
What causes a wagon to speed up when going down a hill?
Answer:
supermax makes it go fast
Step-by-step explanation:
Need help please answer ASAP!
25&26
Answer:
40° and 6
Step-by-step explanation:
25. Let's suppose the angles as 2x and 7x
Then,
2x + 7x = 180°
or, 9x = 180°
or, x = 180°/9
or, x= 20°
Now, 2x is smaller
So, 2x = 2× 20° = 40°
26. Solution,
Each exterior angle = 360°\n
or, 60° = 360°/n
or, 60°n = 360 °
or, n = 360°/60°
or, n=6
As, Hexagon has 6 sides.
#26
Any polygon has sum of exterior sides as 360°
No of sides
360/60=6#25
Let the angles be 2x and 7x
2x+7x=1899x=180x=180/9x=20°Smallest angle=2(20)=40°
what is 1x3 and 1x8 help please jucie
Answer:
1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11
Answer:
3 and 8
Step-by-step explanation:
If 0.8Vx160=0.9Vx45
Get the value of V
Answer:
V=0
Hope it helps
Simplify this question
Step-by-step explanation:
9x²/3x + 12x/3x + 1
= 3x/1 + 4/1 + 1
= 3x + 5
I hope this is true..
Determine which function has the greatest rate of change over the interval [0, 2].
A. c
B. a
C. d
D. b
Answer:
B :a
Step-by-step explanation:
Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.
What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable?
A: 137; her original calculation is reasonable
B: 145; her original calculation is not reasonable
C: 310; her original calculation is reasonable
D: 390; her original calculation is not reasonable
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
The diameter of a circle is 16 centimeters. How would you calculate the area?
A. TT. 82 cm.
B. 28 cm.
C. TT 162 cm.2
D. 2. T. 16 cm.
Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>
Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, with the general [tex]n[/tex]-th term
[tex]a_n = a_1 + (n-1) d[/tex]
Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :
[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]
[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]
[tex]\implies 5a_1 + 20d = 17[/tex]
and
[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]
[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]
[tex]\implies 5a_1+25d= 15[/tex]
Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :
[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]
[tex]\implies 5a_1 = 25[/tex]
[tex]\implies \boxed{a_1 = 5}[/tex]
Create and interpret tables.
ASSIGNMENT
y.=4x
Y2=422
Y3=4*
Complete the table for each function. Then
answer the questions that follow.
a=]; b=1; CE; d =
d=O
e=;f=
=
f=9=
DONE
0
0
0
1
1
4
a
b
2
С
16
d
3
e
f
g
Answer:
a = 16 b = 4 c = 8 d = 16
e = 12 f = 36 g = 64
Step-by-step explanation:
a.
Equation = [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]
b.
Equation: [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]
c.
Equation: [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]
d.
Equation: [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]
e.
Equation: [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]
f.
Equation: [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]
g.
Equation: [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]
The missing values for the function are
a= 4
b=4
c=8
d=16
e=12
f= 36
g=64
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.
We have the table for three function.
Now, to find the following we have find the rate of change.
Function 1 : y= 4x
At x = 2 ; y= 8
At x= 3; y= 12
Function 2: y= 4x²
At x =1 ; y= 4
At x= 3; y= 36
Function 3 : y= [tex]4^x[/tex]
At x =1 ; y= 4
At x = 2 ; y= 16
At x= 3; y= 64
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3. Determine the probability that a randomly selected person has a birthday on the 29th day of a month.
Answer:
0.0308.
Step-by-step explanation:
There are 11 months out of the year which have a 29th day except for a leap year when all 12 have it.
Required probability = number of '29th' days in 4 years / total days in 4 years
= (3*11 + 12) / (3*365 + 366)
= 45/1461
= 0.0308.
What is the value of x?
Answer:
130° is the correct value of x.Step-by-step explanation:
In the question, there's an quadrilateral whose sum of all exterior angle is 360°.
140° + 34° + 56° + x = 360°
➝ 230° + x = 360°
➝ x = 360° - 230°
➝ x = 130°
Thus, The value of x is 130°.
help me pls worth 50 points!!!!
Answer:
40 : 1
Step-by-step explanation:
40 miles / 1 hour = 40 : 1
What is the solution to this equation?
log + log 3 =
log(+1)
OA I=
OB.
I=
OC
I=
D. = 1
312
NIT
13
Answer:
[tex]\textsf{B.} \quad x=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Log laws
[tex]\textsf{Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]
[tex]\textsf{Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y[/tex]
Therefore:
[tex]\large \begin{aligned}\log_6 x+ \log_6 3 & =\log_6 (x+1)\\\log_6 (3x) & =\log_6 (x+1)\\3x & =x+1\\2x & =1\\x & =\dfrac{1}{2}\end{aligned}[/tex]
In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Step-by-step explanation:
[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]
The probability of students who plays both basketball and baseball is 2/13
What is Set Theory Formula?
The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
Given data ,
Let the number of students who plays basketball and baseball = n ( A ∩ B )
Let the number of students who plays basketball be = n ( A )
The value of n ( A ) = 21
Let the number of students who plays baseball be = n ( B )
The value of n ( B ) = 7
Now , 2 students does not play any sports out of the 26 students
So , n ( A ∪ B ) = 26 - 2
n ( A ∪ B ) = 24
Now , from the set theory formula ,
n(A∪B) = n(A) + n(B) - n(A⋂B)
Substituting the values in the equation , we get
24 = 21 + 7 - n ( A ∩ B )
Adding n ( A ∩ B ) on both sides , we get
n ( A ∩ B ) + 24 = 28
Subtracting 24 on both sides , we get
n ( A ∩ B ) = 4
So . the number of students who plays both basketball and baseball = 4
And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students
Probability that the student chosen plays both basketball and baseball
= 4 / 26
= 2 / 13
Hence , The probability of students who plays both basketball and baseball is 2/13
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pls help i beg you!
A plumber charges a flat fee of $79 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes H hours is given by the following.
c=79+24h
Answer the following questions.
(a)
What is the total cost for fixing a drain that takes 7 hours?
$?
(b)
If the plumber charged a total of $343, how many hours did he spend fixing the drain?
?hours
Answer:
for "A" the answer is 247$
For "B" the answer 11 hours
Step-by-step explanation:
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account. Which is a reasonable estimate of the amount Donna is left with each week after the money is deducted?
Answer:
About 969 dollars
Step-by-step explanation:
I kind of did it the long way. I divided $1,404 by 100 and multiplied by 19. Did the same thing with 12. Added the product of those together and subtracted from 1,404.
(1,404÷100)19 + (1,404÷100)12 = 435.24
1,404 - 435.24 = 968.76
Since it was an estimate I rounded it to the nearest whole number and got 969
Hope this helps. There are probably better methods to solve this problem but this was my way.
The first TV Chrystal had was 7 inches by 9 inches. She now has a TV that is 56 inches by 72 inches. What is the scale factor?
Answer:
8
Step-by-step explanation
to find the scale factor you find out by how many times the numbers have gone bigger or smaller
7inches by 9inches
56inches by 72inches
7×8= 56
9×8=72
7 and 9 have changed 8 times more so the scale factor is 8
Solve for x. Write both solutions, separated by
a comma.
6x² + 5x6 = 0
Answer:
x = 0.7401 ± 0.7401i, x = 0
Step-by-step explanation:
(6 • (x^2)) + 5x^6 = 0
(2•3x^2) + 5x^6 = 0
5x^6 + 6x^2 = x^2 • (5x^4 + 6)
x^2 • (5x^4 + 6) = 0
x^4 = -6/5 = -1.200
x = ∜ -6/5
⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.
→ x = 0
→ x = 0.7401 ± 0.7401i
please slove question 5
Answer:
2,160 mm³
Step-by-step explanation:
Q5
V = 1/2 × lwhV = 1/2 × 24 × 10 × 18V = 12 x 10 x 18V = 216 x 10V = 2,160 mm³PLEASE HELP ME OUT PLEASEEEE
Answer:
I hope you know what a rectangle is, but it is true.
Step-by-step explanation:
simplifying question
Please help if you know!
Answer:
2.5 cups
Step-by-step explanation:
[tex]\frac{2}{12} =\frac{x}{15}[/tex] (x is the amount of cups of zucchini you will need to feed 15 people)
This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.
Cross multiply
30 = 12x
divide both sides by 12 to isolate x
[tex]\frac{30}{12}[/tex] = x
2.5 = x
That is your answer
- Kan Academy Advance
I'll give brainiest to whoever answers these correctly
1)The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
Of the middle school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2)Which of the following can you conclude from the two-way table?
A) Middle school and elementary school students are equally likely to own a smartphone.
B) An elementary school student is more likely to own a smartphone than a middle school student.
C) A middle school student is more likely to own a smartphone than an elementary school student.
D)There is no association between the student's school and owning a smartphone.
1)The relative frequency of those who own a smartphone will be 45%.
2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
Given data;
The total number of persons polled:
⇒216 (26 + 84 + 72 + 34)
⇒216
The number of persons who own a smartphone is calculated as follows:
⇒26 + 72
⇒98
The relative frequency of those who own a smartphone is calculated as;
[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]
Hence,the relative frequency of those who own a smartphone will be 45%
2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.
Hence,option C is correct.
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The midpoint of AB is M(6,3). If the coordinates of A are (7,4) what are the coordinates of B?
Answer:
(6.5,3.5)
Step-by-step explanation:
(6+7)÷2=6.5
(3+4)÷2=3.5
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
She made a mistake on step 3
The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]
This is what her steps should look like
[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]
Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.
Answer: The answer is in fact C.
Step-by-step explanation:
I am the lizard king, I can do anything.
if ABC intersect with Efc what would it be please help!
Answer:
image below
Step-by-step explanation:
I need help on thiss
Can someone PLEASE help with these 10th grade geometry angle problems? I have no idea how to solve these and I'm desperate. My teacher won't get back to me and I really need this done. will reward brainly and 5 stars + thanks. You don't have to answer both if you don't want to. either would help tremendously.
Given
m∠MPN = 35°mLP = 130°To find
The value of mMNWe can see MN is intercepted by the angle MPN.
Inscribed angle is half the measure of intercepted arc
m∠MPN = 1/2mMN ⇒ mMN = 2 × m∠MPN = 2 × 35° = 70°The answer is mMN = 70°
Question 2Given
m∠AOB = 40°mED = 60°To find
m∠CODSee the solution with reasons for each line
m∠COD = m∠EOB ⇔ vertical angles are congruentmBD = 180° ⇔ BD is diameter and cuts the circle in halfm∠EOB = mBD - mED ⇔ Angle addition m∠EOB = 180° - 60° = 120° ⇔ SubstitutionSo the answer is m∠COD = 120°