Answer:
d) y = x-12
Step-by-step explanation:
x is the input
y is the output
d) 4 = 16 - 12
The input variable x is 16 and the output variable y is 4 in valid only in the equation y = x - 12.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that the input variable x equals 16 and the output variable y equals 4,
Then, by substituting these values in the given equations, we get to know that
This condition is only applicable to the equation y = x - 12.
Hence, the correct expression is y = x-12.
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At a basketball game, the manager of the arena wanted to know how many fans from the away team were in attendance. He noticed that 15 out of the first 36 people were fans of the away team. If there are a total of 360 people who attend the game, about how many people can he predict are fans of the away team?
Answer:
About 150 people.
Step-by-step explanation:
1.) 15/36 = x/360
2.) 150/360 = x/360
3.) 150/360 = 150/360
measuring angles with a protractor
Why can't 6cm 5cm 8cm make a triangle
Answer:
They can, the lines just need to be sloped
Give The measures of the angle that is complementary to the given angle
36
Step-by-step explanation:
We know that
Sum of two complementary angles is 90°Let the other angle be xSo[tex] \rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\ \rm \dashrightarrow \: x = 36[/tex]72 mi
21 mi
What is the length of the hypotenuse?
Answer:
75 mi
Step-by-step explanation:
c squared = a squared + b squared
c squared = 72 squared + 21 squared
c squared = 5184+441
c squared = 5625
c = root 5625
c = 75 mi
I need help plsssssssssss
Answer:
Diagram B
Step-by-step explanation:
Most of the points don't line up with the line itself.
-30 = -5
Pls help
...
Answer:
-25
Step-by-step explanation:
-30+5 = -25
what operation do you use to convert from a larger measurement unit to a smaller measurement unit? Explain why
Answer:
Use multiplication and dividing.
Step-by-step explanation:
If you want to convert to a smaller unit, you must multiply.
For example...
4 Feet to Inches:
[tex]4 * 12 =48[/tex] inches
2 Yards to Inches:
[tex]2 * 3 = 6[/tex] feet
[tex]6 * 12 = 72[/tex] inches
If you want to convert to a larger unit, you must divide.
336 Inches to Feet:
[tex]336/12=28[/tex] feet
756 Inches to Yards:
[tex]756/12=63[/tex] feet
[tex]63/3=21[/tex] yards
To frame two problems of linear equation in one variable of your choice and solve such that the result of the first problem should be 79 and the next problem is 25.
Answer:
[tex]x + y = 79[/tex] and
[tex]x - y = 25[/tex]
[tex](x,y) = (52,27)[/tex]
Step-by-step explanation:
Let the variables be: x and y
The equations can be modelled as:
[tex]x + y = 79[/tex] and
[tex]x - y = 25[/tex]
To solve for x and y, we have:
Make x the subject in [tex]x - y = 25[/tex]
[tex]x = 25 + y[/tex]
Substitute [tex]x = 25 + y[/tex] in [tex]x + y = 79[/tex]
[tex]25 + y + y = 79[/tex]
[tex]25 + 2y = 79[/tex]
Collect like terms
[tex]2y = 79 - 25[/tex]
[tex]2y = 54[/tex]
Divide both sides by 2
[tex]y = 27[/tex]
Substitute [tex]y = 27[/tex] in [tex]x = 25 + y[/tex]
[tex]x = 25 + 27[/tex]
[tex]x = 52[/tex]
So, we have:
[tex](x,y) = (52,27)[/tex]
What is the fractional form of 0.02?
А. 2/99
B. 1/11
C. 2/100
D.1/12
please help me i don’t understand
Answer:
Below
Step-by-step explanation:
All you need to do to find angle x is to subtract 48 from 90 :)
So, 90 - 48 = 42
Angle x = 42 degrees
Hope this helps!
Answer:
anglePQR+anglePQS=90
or,48 degree+x=90
or,x=90-48
or,x=42
therefore the value of x is 42 degree
Step-by-step explanation:
Matthew earned $5,000 a month. He spends $3,750 every month.
What percent does he spend?
Answer:
he spent 75%
Step-by-step explanation:
to get the percent you would divide 3750 by 5000 and then convert the decimal in to a percent.
A rope is stretched from the top of a
7-foot tent pole to a point on the ground
12 ft from the base of the pole. How long
is the rope ?
Answer:
Step-by-step explanation:
we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]
[tex]C^{2}[/tex] = 49 + 144
[tex]C^{2}[/tex] = 193
C = [tex]\sqrt{193}[/tex]
C = 13.89 feet
Answer:
The square of the hypotenuse equals the square of the sum of the other two sides.
13.89ft
Step-by-step explanation:
Definition Of Pythagoras Theorem :The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.
Given:Height of the Tent Pole = 7ft.
Base of the Pole of the Tent = 12ft.
Now we will use Pythagoras theorem to find how long the rope is.
Use of Pythagoras theorem
[tex]\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}[/tex]Hence, the length of the rope is 13.89ft.
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Drop your favorite American Horror Story character for 5 easy points
Answer:
the clown plz mark brainliest
Answer:
TATE AND BROOKE THOMPSON or any of emma roberts characters
There are 16 rats in a cage. The ratio of white rats to all rats is 3:4. How many white rats are in the cage?
Answer:
There are 12 white rats in the cage.
Step-by-step explanation:
3 : 4 The question says there are 16 rats in the cage. Meaning that 16 is the
x4 x4 total. Since 4(from the ratio)x4 is 16. You would multiply 4 on both sides.
12 : 16
Meaning there are 12 white rats to 16 total rats.
If you have any additional questions, please feel free to ask in the comments.
Answer:
12 white rats to 16 total rats
Step-by-step explanation:
A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
36.3
Step-by-step explanation:
I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + (40)^2 = (54)^2[/tex]
[tex]a^2 + 1600 = 2916[/tex]
[tex]a^2 = 2916-1600 = 1316[/tex]
[tex]a = \sqrt{1316}[/tex]
[tex]a = 36.27671429[/tex]
When this is rounded up to the nearest tenth, it would go up to 36.3.
So, the length (tallness) of the TV would be 36.3 inches.
5. A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands
on the ground. The graph below shows the height, y, of the ball from the ground after x
seconds
For which interval is the ball's height always decreasing?
A. 0
B. 0
C. 2.5
D.) 2
I need the explanation the most.
Answer and I you will get 8 years of good luck
Answer:
i think 8
Step-by-step explanation:
i have 41 points how much will i have in 2100
Answer:
Well, if you keep getting 41 points a yeah, adding 41 by the remaining years into 2100, you'll have 3,239 points in 2100 if you're still alive
Step-by-step explanation:
HELP I WILL GIVE BRAINIEST
Answer:
13.7
Step-by-step explanation:
It forms a triangle.
They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...
15² - 6² = 189
now we square root it
√189 = 13.7
What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work
Answer:
Um?
Step-by-step explanation:
You observe the heights of two plants for an experiment. Plant A has a height of 8 centimeters and grows 1 centimeter each week. Plant B has
a height of 4 centimeters and grows 2 centimeters each week. Let x represent the number of weeks and let y represent the height of the
plant
a. Write a system of linear equations that represents this situation
System of equations:
b. Will the plants ever have the same height?
Using linear functions, it is found that:
a)
[tex]y_A(x) = 8 + x[/tex]
[tex]y_B(x) = 4 + 2x[/tex]
b) They will have the same height after 4 weeks.
A linear function has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.Item a:
Plant A has a height of 8 centimeters and grows 1 centimeter each week, hence:
[tex]y_A(x) = 8 + x[/tex]
Plant B has a height of 4 centimeters and grows 2 centimeters each week, hence:
[tex]y_B(x) = 4 + 2x[/tex]
The system is:
[tex]y_A(x) = 8 + x[/tex]
[tex]y_B(x) = 4 + 2x[/tex]
Item b:
Equaling the equations:
[tex]y_A(x) = y_B(x)[/tex]
[tex]8 + x = 4 + 2x[/tex]
[tex]x = 4[/tex]
They will have the same height after 4 weeks.
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Volume=125 cu ft
Length=5 ft
Width=?___
Height=5 ft
Answer:
5 ft.
Step-by-step explanation:
First, start with a formula. To find the volume, you have to multiply the length, width, and height.
V = lwh
Plug in the variables that you already know.
125 = 5 ⋅ w ⋅ 5
Simplify.
125 = 25w
Divide both sides by 25 to isolate w.
5 = w
what is 3.5 x 10 to the 4th power in standard notation? (decimal)
Answer:
35000 would be your answer
Step-by-step explanation:
39. If one student can complete the decorations for the prom in 5 days
working alone, another student could do it in 3 days, and a third could
do it in 4 days, how long would it take them working together?
Answer:
1.3 days
Step-by-step explanation:
1/5+1/4+1/3
12/60+20/60+15/60= 47/60
60/47
=1.3
7x^2-2x+6. Factor that
Answer:
The expression is not factorable with rational numbers
Step-by-step explanation:
Can 1-9 be solved please ANSWER FAST!!!
Answer:
1) solution
2x+3*5x=34
2x+15x=34
17x=34
x=34/17
x=2
2) solution
2*4y+3y=44
8y+3y =44
11y=44
y=44/11
y=4
3) solution
4y+5=3y-2
4y-3y=-2-5
y= -7
4) solution
2x+3=4x-1
3+1=4x-2x
4=2x
x=4/2
x=2
5) solution
4(y-1)=3y+3
4y-1=3y+3
4y-3y=3+1
y=4
6) solution
2(1/2y +3)-y=6
2/2y+3-y=6
y+3-y=6
2y=6
y=6/2
y=3
7) solution
8x+2(-4x+11)=13
8x-8x+11=13
11=13
8) solution
2x-3x-9=-4
-x=-4+9
-x=5
x= -5
9) solution
3(3y+1)-5y=11
9y+3-5y=11
4y=11-3
y=8/4
y=2
please marks brainliest I had to spend lot of time typing this.
50 POINTS PLZ HELP NO LINKS This renewable energy project promises to provide numerous benefits to our state. These include an increase in jobs and a secure and sustainable source of energy. This project will make dollars and make sense for all of us. What effect is the underlined phrase meant to have on the argument?
1 It intends to show how important jobs in renewable energy will become.
2 It emphasizes humor to help make the subject more interesting to readers.
3 The pun on sense helps call attention to the economic soundness of the project.
Answer: 3 The pun on sense helps call attention to the economic soundness of the project.
Step-by-step explanation:
The underlined phrase is the last statement and it is a pun that is meant to show that the plan is a good one because it will both increase jobs and is good for the environment which means that it is sound from both an economic and an environmental perspective.
In using the pun, the entire argument for the project was summarized to show the basic benefits of the plan and show how it would benefit the people.
2. It takes 1 3/8 minutes to wrap a parcel and 1/2 minute to address it. How many minutes does it take to:
(a) wrap and address one parcel? Give your answer as a fraction
(b) wrap and address a dozen similar parcels?
Answer:
45/2
Step-by-step explanation:
U first have to change the mixed number to improper fraction and find the least common multiple
The price of 2 ratios are in x:y when the prices both increase by £20, the ratio becomes 5:2 when the prices both reduce by £5 the ratio becomes 5:1 express the x:y ratio in the lowest form
Answer:
x:y = 4:1
Step-by-step explanation:
Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.
So, x + 20/(y + 20) = 5/2 (1)
When they both decrease by £5, their ratio is 5:1.
So, x - 5/(y - 5) = 5/1 (2)
Simplifying (1) and (2), we have
x + 20/(y + 20) = 5/2 (1)
cross-multiplying, we have
2(x + 20) = 5(y + 20)
expanding the brackets, we have
2x + 40 = 5y + 100
2x - 5y = 100 - 40
2x - 5y = 60 (3)
So,
x -5/(y - 5) = 5/1 (2)
cross-multiplying, we have
(x - 5) = 5(y - 5)
expanding the brackets, we have
x - 5 = 5y - 25
x = 5y - 25 + 5
x = 5y - 20 (4)
Substituting (4 into (3), we have
2x - 5y = 60 (3)
2(5y - 20) - 5y = 60
10y - 40 - 5y = 60
10y - 5y = 60 + 40
5y = 100
y = 100/5 = 20
substituting y = 20 into (4), we have
x = 5y - 20 (4)
x = 5(20) - 20
x = 100 - 20
x = 80
So, x/y = 80/20 = 4
x/y = 4/1
x:y = 4:1