Answer:
60
Step-by-step explanation:
60/3=20
60/2=30
60/5=12
20$56 x4-7 + ,608+. 0. -70
Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.
1. Write a function that defines the cousins age as a function of Noah's age.
2. What variable represents the input of this function?
3. What variable represents the output of this function?
4. Write the inverse of the function you wrote.
5. What variable represents the input of the inverse function?
6. What represents the output of the inverse function?
Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
130 is a 13.333% or 13% decrease of 150.
Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.
Answer:
100 = 2x + 4y
Step-by-step explanation:
To the nearest hundredth, what is the length of the diagonal of the prism
Answer:
theres nothing there
Step-by-step explanation:
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
What is an equation of the line that passes through the points (5,2) and (-5,6)?
Put your answer in fully reduced form.
Answer: y = -2/5x + 4
Steps:
First find the slope of the equation y=mx+b.
slope equation (m=y2-y1/x2-x1)
Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5
Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.
Next, find your y-intercept (b).
substitute the first set of coordinates into the equation y=mx+b
Substitute: 2 = -2/5 (5) +b
Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be
2 = -2 +b
Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).
This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.
Plug in everything to get y = -2/5x + 4
Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second
1
and third set of trees yielded 3 gallons each.
Part A: How many gallons of syrup did she collect in all?
Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How
much syrup did she use for cooking?
Answer:
Part A - 8
Part B - 7
Step-by-step explanation:
Part A
She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.
Part B
She used seven gallon of syrup for cooking.
She is left with one gallon syrup only out of total eight gallon syrup
HELPPPPP!:(
In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.
Answer:
x is greater than or equal to 3 inches.
Step-by-step explanation:
The required inequality that models the situation of age to grow is given as x ≥ 3.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48
Simplifying the above expression,
x ≥ 3
Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
X-4<5 I don’t get that
Answer:
x<9
Step-by-step explanation:
so first you add 4 to both sides,
then it is x<9 right?
WELL THAT'S THE ANSWER :)
pls give me brainliest
ˆ
THEY ARE CORRECT
GIVE THEM BRAINLIST BEFORE THIS GETS DELETED
What is the value of sin(48) ? Use a calculator and round to the nearest tenth
Answer:
0.743
:))))))))))))))
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow
Answer: 5/28 left to mow
Step-by-step explanation:
How much is left means we have to subtract the fractions. The easiest to do is subtract using the larger fraction first which is 3/7.
3/7 - 1/4
Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator. In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28. 28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:
3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4. Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28. For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7. Now multiply 7 by the numerator 1 which =7. Now you have 7/28. Now you can subtract and solve for your answer:
3/7 -1/4 converted to:
12/28 - 7/28 subtract numerators 12-7 and keep the same denominator
Ans: 5/28 left to mow
Can someone help me Write an equation for this graph?
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
In a particular library, 18% of the books are children's books, 53% of the books are adult fictions, and the rest are adult non-fiction
You choose one book at random. What is the probability that it is an adult non-fiction book ?
Answer:
29%
Step-by-step explanation:
You add the 18 and 53 then subtract by 100 to receive your answer
Answer:
29%
Step-by-step explanation:
You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.
Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost
Answer:
.33 cents
Step-by-step explanation:
PLEASE HELP ASAP THIS IS DUE SOON
Answer:
y= 2/1x
Step-by-step explanation:
1. Mark two points on the coordinate place (1,2) (2,4)
2. Subtract y1 from y2 and x1 from x2
(1, 2) 1
(2, 4) 2
4-2 y, 2-1 x
3. Put y on top of x as a fraction after you've subtracted it (2/1)
4. y= 2/1x
i think this is right...maybe?
which equation is parrel to the equation y=3x-4
y=3x-8
y=4x+2
y=x-9
y=-1/3x+4
Answer:
Parallel means they have the same slope so, y=3x-8
John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
I need help with this question geometry
Answer:
sorry
Step-by-step explanation:
Answer:
y=15
∠P=113
∠Q=67
∠R=113
∠S=67
Step-by-step explanation:
10y-37+4y+7=180
14y=210
y=15
∠P=10(15)-37=113
∠Q=180-113=67
I can quite figure out how to go about this problem l, we are writing equations by defining a variable, writing an equation, then solving
Answer:
14 ft
Step-by-step explanation:
Let x represent the number of segments of the divided wood beam
Let y represent the total length of the wood beam.
Given that each segment measures 3.5, the equation to express this scenario is given as
y = 3.5x
Thus, to find the length of the wood beam, substitute x = 4 into the equation.
We would have:
y = 3.5(4)
y = 14
Length of the wood beam = 14 ft
Help plsssssssssssssssss
Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection
performed and the scale factor.
A)
To obtain quadrilateral W"X"Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 3.
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
c) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 2.
D) To obtain quadrilateral W X Y Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/3.
Answer:
B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across
the x-axis and dilated with a scale factor of 1/2
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)
Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).
The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
If quadrilateral WXYZ is reflected across the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)
Which ratio is equivalent to 1 : 8
Answer: 2:16
Step-by-step explanation:
Answer:
2 : 16
Step-by-step explanation:
1 : 8 2 : 16 3 : 24 4 : 32 5 : 40
6 : 48 7 : 56 8 : 64 9 : 72 10 : 80
11 : 88 12 : 96 13 : 104 14 : 112 15 : 120
16 : 128 17 : 136 18 : 144 19 : 152 20 : 160
21 : 168 22 : 176 23 : 184 24 : 192 25 : 200
26 : 208 27 : 216 28 : 224 29 : 232 30 : 240
31 : 248 32 : 256 33 : 264 34 : 272 35 : 280
36 : 288 37 : 296 38 : 304 39 : 312 40 : 320
41 : 328 42 : 336 43 : 344 44 : 352 45 : 360
46 : 368 47 : 376 48 : 384 49 : 392 50 : 400
51 : 408 52 : 416 53 : 424 54 : 432 55 : 440
56 : 448 57 : 456 58 : 464 59 : 472 60 : 480
61 : 488 62 : 496 63 : 504 64 : 512 65 : 520
66 : 528 67 : 536 68 : 544 69 : 552 70 : 560
71 : 568 72 : 576 73 : 584 74 : 592 75 : 600
76 : 608 77 : 616 78 : 624 79 : 632 80 : 640
81 : 648 82 : 656 83 : 664 84 : 672 85 : 680
86 : 688 87 : 696 88 : 704 89 : 712 90 : 720
91 : 728 92 : 736 93 : 744 94 : 752 95 : 760
96 : 768 97 : 776 98 : 784 99 : 792 100 : 800
Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?
a bucket was 2/5 filled with water. a farmer then fills the bucket with another 4/10 more water. what fraction of the bucket is now full?
Answer:
8/10
Step-by-step explanation:
Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?
Answer this pleaseee !!
Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
D.
Step-by-step explanation:
Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.
pls help 20 points I just need an explanation
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
