Answer:
x = 4.48
Step-by-step explanation:
read the picture
Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.
m = 1/2, (6, 9)
Answer:
[tex]x-2y=-12[/tex]
Step-by-step explanation:
Hi there!
1) Determine the equation of the line in slope-intercept form
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
Plug in the slope [tex]\frac{1}{2}[/tex]
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (6,9) and solve for b
[tex]9=\frac{1}{2}(6)+b\\9=3+b[/tex]
Subtract 3 from both sides
[tex]9-3=3+b-3\\6=b[/tex]
Plug 6 back into [tex]y=\frac{1}{2}x+b[/tex]
[tex]y=\frac{1}{2}x+6[/tex]
2) Rearrange the equation into standard form
Standard form: [tex]Ax+By=C[/tex] where A, B and C are integers and A is typically positive
[tex]y=\frac{1}{2}x+6[/tex]
Multiply both sides by 2 to remove the fraction
[tex]2y=1x+12\\2y=x+12[/tex]
Subtract x from both sides to isolate 12 as C
[tex]2y-x=x+12-x\\2y-x=12\\-x+2y=12[/tex]
Multiply both sides by -1 to make A positive
[tex]x-2y=-12[/tex]
I hope this helps!
Use the diagram to estimate the perimeter, rounding each number to the nearest hundred.
A parallelogram is shown. Two sides are labeled 5,534 feet. The other two sides are labeled 1,566 feet.
14,200 feet
16,000 feet
14,400 feet
14,000 feet
Answer:
14,000 feet.
Step-by-step explanation:
A parallelogram has 4 total sides and the opposite sides are characterized as having the same length. Therefore, If we are provided the lengths of two adjacent sides we can easily calculate the perimeter by multiplying these provided lengths by 2 and then adding them together. Since we are asked to round each number to the nearest hundred, it would be the following...
(5,500 * 2) + (1,500 * 2) = x
11,000 + 3000 = x
14,000 = x
Finally, we can estimate that the perimeter of the parallelogram is 14,000 feet.
A large auditorium has stadium with stadium seating. There are 8 seats in the first row, 10 seats in the second row, 12 seats in the third row and 300 seats in the last row. How many rows of seats are in the auditorium
If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total of pages.
Answer:
394 pagesStep-by-step explanation:
1- digit numbers:
1 to 9, number of digits = 92- digit numbers:
10 to 99, number of digits = 2(99 - 9) = 1803- digit numbers:
100 to 999, number of digits = 3(999 - 99) = 2700This is more than we have, but we know the number of pages is 3-digit.
Let it be x, then we have:
9 + 180 + 3(x - 99) = 10743(x - 99) = 1074 - 1893(x - 99) = 885x - 99 = 885/3x - 99 = 295x = 295 + 99x = 394I forgot a long time ago, What is the slope of the line?
See the image as the line doesn't go through -2 on the x nor -1 on the y
Answer:
[tex] - \frac{4}{5}[/tex]
Step-by-step explanation:
Line is passing through the points (-3, 1) & (2, - 3)
Therefore,
Slope of line
[tex] = \frac{ - 3 - 1}{2 - ( - 3)} \\ \\ = \frac{ - 4}{2 + 3} \\ \\ = - \frac{4}{5} [/tex]
The sum of two numbers is 69. One number is 15 less than the other. Find the numbers.
Answer:
58+-43=15
Step-by-step explanation:
X^2-10x = −16 solution??
Help!!!
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.
Answer:
Step-by-step explanation:
floor = 12*10 = 120 sq ft
rug = π[tex]r^{2}[/tex] = 9π
120-9π = 91.74 sq ft
The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²
What is Area?Area is the space occupied by a 2 dimensional figure.
The room is rectangular and its 12 ft by 10 ft. Therefore,
area of the room = lw
where
l = length
w = width
area of the room = 12 × 10 = 120 ft²
The rug is circular and its use to cover the room. Therefore,
area of rug = πr²
where
r = 3 ft
Therefore,
area of rug = 3.14 × 3² = 28.26 ft²
The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:
area uncovered = 120 - 28.6 = 91.74 ft²learn more on area here; https://brainly.com/question/1389611
what is the value of 9 (n + 2) - 5n when n =1/4
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Answer:
19
Step-by-step explanation:
The evaluation is easier if we simplify the expression first.
9(n +2) -5n = 9n +18 -5n = 4n +18
For n = 1/4, this is ...
= 4(1/4) +18 = 1 +18
= 19
The value of the expression for n = 1/4 is 19.
I need help with this problem-
Answer:
wat
Step-by-step explanation:
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Answer:
3 1/3 each
Step-by-step explanation:
10/3=3 1/3
NEED HELP ON THIS ASAP PLZ!! (Marking BRAINLIST)
Answer:
brainllest if right
2
Step-by-step explanation:
Answer:
I don't know sorry
Step-by-step explanation:
Please can somebody help I am not very good at maths
Answer:
z = 3a + 4
Step-by-step explanation:
Add 4 to both sides
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
Option A. Only Khaled
Step-by-step explanation:
To know which option is correct, we shall use the formula suggested by both Khaled and Wilma to see which will give the sequence given in the question.
For Khaled:
F(n) = 1 • 3ⁿ¯¹
n = 1
F(n) = 1 • 3ⁿ¯¹
F(1) = 1 • 3¹¯¹
F(1) = 1 • 3⁰
F(1) = 1 × 1
F(1) = 1
n = 2
F(n) = 1 • 3ⁿ¯¹
F(2) = 1 • 3²¯¹
F(2) = 1 • 3¹
F(2) = 1 × 3
F(2) = 3
n = 3
F(n) = 1 • 3ⁿ¯¹
F(3) = 1 • 3³¯¹
F(3) = 1 • 3²
F(3) = 1 × 9
F(3) = 9
For Wilma
F(n) = 1 • 3ⁿ
n = 1
F(n) = 1 • 3ⁿ
F(n) = 1 • 3¹
F(1) = 1 × 3
F(1) = 3
n = 2
F(n) = 1 • 3ⁿ
F(2) = 1 • 3²
F(2) = 1 × 9
F(2) = 9
n = 3
F(n) = 1 • 3ⁿ
F(3) = 1 • 3³
F(3) = 1 × 27
F(3) = 27
SUMMARY
Using Khaled's formula i.e F(n) = 1 • 3ⁿ¯¹ we obtained 1, 3, 9,..
Using Wilma's formula i.e F(n) = 1 • 3ⁿ
We obtained 3, 9, 27,..
Now, comparing the sequence obtained using the formula of both Khaled and Wilma, we can see that only the sequence of Khaled is the same with the one given in the question. Therefore, only Khaled's formula is correct.
What is the solution to the system of equations below?
y=-3x+9 and y-ſx-12
(21, 2)
(21, -10)
(-21, 16)
(-21, -26)
I tried every combination. there seems to be something wrong with the informations you gave.
the second equation contains errors, and none of these 4 points can be solutions to the first equation alone
which sequence is a geometric progression
a 2 4 6 8
b 1 1 2 3
c1 2 4 8
d1 3 5 7
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Answer:
c 1, 2, 4, 8
Step-by-step explanation:
It can work well to look at the first differences.
a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2
b: differences are 0, 1, 1
c: differences are 1, 2, 4
d: differences are 2, 2, 2
__
Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.
Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.
Sequence c is a geometric progression.
A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 cm, and the bicycle wheel
makes 3 full rotations before stopping.
How long is the trace of water left on the floor?
Round your answer to the nearest cm.
Answer:
The trace of the water left on the floor is 566 cm.
Step-by-step explanation:
The bicycle wheel has a circular shape, therefore;
1 revolution is the same as the circumference of the wheel. So that 3 revolutions is the same as multiplying the circumference of the wheel by 3.
circumference = 2[tex]\pi[/tex]r
where r is the radius of the wheel (r = 30 cm).
Thus,
circumference = 2 x [tex]\frac{22}{7}[/tex] x 30
= [tex]\frac{1320}{7}[/tex]
circumference = 188.57 cm
3 revolutions = 3 x 188.57
= 565.71 cm
Therefore, the trace of the water left on the floor is 566 cm.
A group of coins is shown below. What is the probability of drawing each type of coin?
Answer:
likely
Step-by-step explanation:
What percent of 0.2 gram of 32 mg
Answer:
625
Step-by-step explanation:
First, you have to convert 0.2 grams to mg. To do this, multiply 0.2 by 1000. This yield 200. Now 200 is what percent of 32.
200 * 100 / 32
= 625
Please help me, and can you do it by a table math
Answer:
Yeah
Step-by-step explanation:
an international company has 16,600 employees in one country. if this represents 28.8% of the company's employees, how many employees does it have in total? round your answer to the nearest whole number
Answer:
57639 employees in total.
Step-by-step explanation:
28.8% of X = 16600
X = 16600 / 28.8%
= 16600 / 0.288
= 57638.89
=57639
Question is on the screenshot
Which graph shows the point (-2, 3)?
A.
B.
C.
D.
33. What does equal in the solution of the system of equations below? 33 – 4y - z= 14 2r + 3y - 32 = 17 x + 2y + x = 20 10 04 -10 O-4
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Answer:
(a) 10
Step-by-step explanation:
Attached is a graphical solution using "substitution." An expression was written for z using the first equation, and it was substituted into the remaining two equations. This gave two equations in x and y, easily solved graphically.
We found x = 10, y = 3, so ...
z = 3(10) -4(3) -14 = 30 -12 -14 = 4
The whole solution is (x, y, z) = (10, 3, 4).
The height of a rocket a given number of seconds after it is released is modeled by h(t)=-16t+32t+10 what does t represent?
Select the equation of a straight line that is parallel to the line 4y = 3x + 5
Answer:
One equation can be y = 3/4X +2
Step-by-step explanation:
Any equation that has a slope of 3/4 will be parallel to the line 4Y = 3X + 5 because the slope is the same. This can also be shown visually using any graphing calculator.
What is the complementary number of 16
I
Answer:
2
Step-by-step explanation:
a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per liter. a mechanic makes 392 liters of the mixture. how much should he charge for 15% profit
Answer:
Total selling price= $663.82
Selling price per liter= $1.69
Step-by-step explanation:
Giving the following information:
Proportion of oil and gasoline:
Oil= 3/14= 0.21
Gasoline= 11/14= 0.79
The oil costs $0.75 per liter.
The gasoline costs $1.60 per liter.
First, we need to calculate the number of liters of oil and gasoline required:
Oil= 0.21*392= 82.32 liters
Gasoline= 0.79*392= 309.68
Now, the total cost to produce 392 liters:
Total cost= 82.32*0.75 + 309.68*1.6
Total cost= $577.23
Finally, the total and unitary selling price:
Total selling price= 577.23*1.15= $663.82
Selling price per liter= 663.82 / 392= $1.69
Which function is graphed on the coordinate plane below?
Answer:
f(x) = 2x - 6
Step-by-step explanation:
positive slope = 2
y- intercept = -6
Answer:A
Step-by-step explanation:
You are paid $25 per hour.
You work 7 hours a day.
You work 5 days a week.
How much is your total pay each week? $=
Answer:
The total pay would be $50, But there would also be tax to consider in this situation.