A young sumo wrestler decided to go on a special high − -protein diet to gain weight rapidly. After 1 1 11 months, he weighed 1 4 0 k i l o g r a m s . 140 kilograms. He gained weight at a rate of 5 . 5 k i l o g r a m s 5.5 kilograms per month. Let y y represent the sumo wrestlers weight ( i n k i l o g r a m s ) (in kilograms) after x months. Whats the y-intercept?
Given:
After 11 months, sumo wrestler weighed 140 kilograms.
He gained weight at a rate of 5.5 kilograms per month.
To find:
The y-intercept of the equation which represents y the sumo wrestlers weight (in kilograms) after x months.
Solution:
Let y represent the sumo wrestlers weight (in kilograms) after x months.
It is given that he gained weight at a rate of 5.5 kilograms per month.
So, slope of the line is 5.5.
After 11 months, sumo wrestler weighed 140 kilograms. It means the line passes through the point (11,140).
The point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the line.
[tex]y-140=5.5(x-11)[/tex]
[tex]y-140=5.5x-60.5[/tex]
Add 140 on both sides.
[tex]y-140+140=5.5x-60.5+140[/tex]
[tex]y=5.5x+79.5[/tex]
Therefore, the required equation is [tex]y=5.5x+79.5[/tex].
Substitute x=0, to find the y-intercept of this equation.
[tex]y=5.5(0)+79.5[/tex]
[tex]y=79.5[/tex]
Therefore, the y-intercept is 79.5. It means initial weight of sumo is 79.5 kilograms.
$15,785,025 using words
Answer:
fifteen million, seven hundred eighty-five thousand, twenty-five dollars
Step-by-step explanation:
HOPE THIS HELPS!
GOOD LUCK!
Answer:
fifteen million, seven hundred eighty-four thousand, twenty-five
Step-by-step explanation:
How do I plot the coordinates (2,-4)
Answer:
the first number is the x axis and the second is the y axis so first find the x axis and plot the first number on there then do the same to the y.
Step-by-step explanation:
Find the value of |-9 + 1| - 4(4).
-36
-6
-8
16
I will make you brainlliest and give you some points.
|-9 + 1| - 4(4)
|-9 + 1| = |-8| = 8
4(4) = 4x4 = 16
Now you have 8-16 = -8
The answer is -8
Question 9
An isosceles triangle and a square are shown below. If the perimeter of the triangle is 27 more than the
perimeter of the square, find the value of x.
Answer:
x = 9
Step-by-step explanation:
equation:
3x + 3x + x = x + x + x + x + 27
simplify:
7x = 4x + 27
3x = 27
x = 9
what is
5y+3=4y+8=146
Answer: y=15
Step-by-step explanation:
Solution for (5y+3)+(4y+8)=146 equation:
Simplifying
(5y + 3) + (4y + 8) = 146
Reorder the terms:
(3 + 5y) + (4y + 8) = 146
Remove parenthesis around (3 + 5y)
3 + 5y + (4y + 8) = 146
Reorder the terms:
3 + 5y + (8 + 4y) = 146
Remove parenthesis around (8 + 4y)
3 + 5y + 8 + 4y = 146
Reorder the terms:
3 + 8 + 5y + 4y = 146
Combine like terms: 3 + 8 = 11
11 + 5y + 4y = 146
Combine like terms: 5y + 4y = 9y
11 + 9y = 146
Solving
11 + 9y = 146
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 9y = 146 + -11
Combine like terms: 11 + -11 = 0
0 + 9y = 146 + -11
9y = 146 + -11
Combine like terms: 146 + -11 = 135
9y = 135
Divide each side by '9'.
y = 15
I need help solving these problems.
0.55 minute to 0.1 minute
Answer:
81.8182% decrease
Step-by-step explanation:
(V2−V1)|V1|×100
=(0.1−0.55)|0.55|×100
=−0.450.55×100
=−0.818182×100
=−81.8182%change
=81.8182%decrease
Kelly purchased 6 equally-priced CDs for a total of $75.30 what is the cost per CD?
Answer:
$12.55 per CD
Step-by-step explanation:
If each CD is of equal price, you must then divide the price by the number of CD's. (75.30/6=12.55)
Answer:
$75.30/6 = $12.55 per CD
Step-by-step explanation:
Since the CDs are equally-priced, my thought is that you would divided the quantity that you purchased by your total to get your answer. So, your total, $75.30 divided by, the amount of CDs purchased, 6. This would lead you to the answer $12.55, which is the cost of each CD. To check your answer you would multiply $12.55 by 6 to get $75.30.
Hope this helped! :D
what is the y-intercept
Answer: D. (0, 1)
Step-by-step explanation: y - intercept is when x = 0. Anything to the power of 0 is 1. So, it would be D. (0, 1)
how do you solve this equation shown?
5x - 3(x + 9) + 10 = 4
Answer:
[tex]x = \frac{21}{2}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x − 3(x+9) + 10 = 4
5x + (−3)(x) + (−3)(9) + 10 = 4 (Distribute)
5x + −3x + −27 + 10 = 4
(5x+−3x) + (−27+10) = 4 (Combine Like Terms)
2x + −17 = 4
2x − 17 = 4
Step 2: Add 17 to both sides.
2x − 17 + 17 = 4 + 17
2x = 21
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{21}{2}[/tex]
[tex]x =\frac{21}{2}[/tex]
Hope it helps!!
Find 3 consecutive odd integers such that 1 less than 3 times the larger is equal to the sum of twice the first and twice the second number. Please explain why and with steps.
Answer:
7, 9, 11
Step-by-step explanation:
If x is the smallest of the integers, then x+2 is the next consecutive odd integer, and x+4 is the largest odd integer.
1 less than 3 times the largest is equal to the sum of twice the first and twice the second.
3(x+4) − 1 = 2x + 2(x+2)
3x + 12 − 1 = 2x + 2x + 4
3x + 11 = 4x + 4
7 = x
The integers are 7, 9, and 11.
Which explains how you round 212.809 to the nearest hundredth?
Answer:
212.81
Step-by-step explanation:
The Hundredth is the Underlined number:
212.8 0 9. 0 is in the Hundreths place so round either up or down. In this case we round up sence 9 is bigger then 5. So you would have a new number of 212.81. Hope This Helps! Rate Brainiest!
-Aslina
Which linear equation has a slope of 3 and a y-intercept of -2?
y = 3x + 2
y=3x-2
y=-2x + 3
y = -2x - 3
Answer:
y=3x-2
Step-by-step explanation:
3 is the coefficient of x (slope)
-2 comes after (y-int)
linear equation y = 3x-2 has a slope of 3 and a y-intercept of -2.
What is the Slope of a line?A line's slope can be determined by looking at its slope. The slope is determined mathematically as "increase over run" (change in y divided by change in x). There are several ways to find the slope, including standard form, slope-intercept form, and point-intercept form.
Given, A linear equation that has a slope of 3 and a y-intercept of -2.
Y-intercept of -2 means at x = 0 y would be -2
The slope-intercept form of a line is
y = mx + c
where m = slope
c = constant
Substituting the values in the given equation
-2 = 0 * 3 + c
c = -2
thus, the equation of the line,
y = 3x -2
therefore, The y-intercept of the linear equation y = 3x-2 is -2, and its slope is 3.
Learn more bout slope here:
brainly.com/question/3605446
#SPJ2
64 ft of rope weighs 20 pounds 28 ft of rope weighs x pounds
Answer
89.6
Step-by-step explanation:
Each foot of rope weighs 3.2 so then mutiplied 3.2 by 28 and got that
ill mark brainllest if right
Answer:
The most sense-making answer according to my calculation is B
Step-by-step explanation:
Pls consider marking my answer as Brainliest! It would mean a lot!
Please help and thank you for helping me out
Step-by-step explanation:
1. d=30
2. b=8
3. n=-7
5. v=17
6.x=-13
7. b=48
Help!!
Find the difference between and 8/15 and-2/3. Show all calculations in your final answer.
Answer:
-2/15
Step-by-step explanation:
8/15-2/3
8/15-10/15
-2/15
Common Denominator
You have a party of four that requested separate checks. The table's checks were for $35, $28, 942, and $22. With tips
you collect $144 from the table. Tips of over 15% indicate the service is good. Did tipping indicate good service at this table?
a) Yes
b)No
Answer:
No
Step-by-step explanation:
Answer: no
The total bill amounts up to $1,027.00. Fifteen percent of $1,027.00 is $154.05. The waiter received $144.00. Therefore she did not indicate good service.
Plz mark brainliest:)
Points A, B, and C are collinear. Point B is between A and C. Solve for x
Find AC if BC=11x-1, AC=21x, and AB=11.
Find the result when 68 is decreased by 50%
Answer:
34
Step-by-step explanation:
68÷2=34
Decrease $820 by 32%
Answer:
557.6
Step-by-step explanation:
Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
32% = 32/100 = 32 ÷ 100 = 0.32.
100% = 100/100 = 100 ÷ 100 = 1.
Percentage decrease = 32% × 820
New value =
820 - Percentage decrease =
820 - (32% × 820) =
820 - 32% × 820 =
(1 - 32%) × 820 =
(100% - 32%) × 820 =
68% × 820 =
68 ÷ 100 × 820 =
68 × 820 ÷ 100 =
55,760 ÷ 100 =
557.6
Answer:
32/100 × 820
council the zeros
32/10 × 82
32× 82/10
2624/10
= 262.4
Step-by-step explanation:
there's ur answer
2-2+5+1-3*55+12-33*98
Answer:
-3054
hdjsfahjkdhfjkdsaf
Bob needs to buy 300 pencils for
his class. If each box holds 25
pencils, how many boxes does he
need to buy?
Answer:
12
Step-by-step explanation:
300/25=12
12x25=300
guys what is 1 + 1
ive been trying to solve it all day
teachers give IMPOSSIBLE questions!!
Answer: AHHHHHH I WILL HELP
Step-by-step explanation:The statement which describes the meaning of the slope is " The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet " ⇒ D
Step-by-step explanation:
The boiling point of water (measured in degrees), at altitude (measured in feet), is modeled by the function T(a) = −0.0018 a + 212, where
a is the altitude measured in feet
T(a) is the boiling point of water in degree
The form of the linear function is f(x) = mx + b, where m is slope (the rate of change), and b is the y-intercept (the value of f(x) at x = 0)
By comparing between the form of the function and the given function
∴ m = -0.0018 ⇒ degrees per foot
∵ The sign of the slope is negative
∵ The slope = Δf(x)/Δx
- That means T(a) is decreasing function
∴ The boiling point is decreases when the altitude increasing
∵ -0.0018 = degrees per feet
∴ The boiling point decreases by 18 degrees as the altitude
increases by 10,000 feet or the boiling point decreases by 1.8
degrees as the altitude increases by 1,000 feet
The statement which describes the meaning of the slope is " The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet "
Learn more:
You can learn more about the linear function in brainly.com/question/9801816
ITS 2
Were rotations or translations harder for you to learn? Please explain why.
Answer:
yes
Step-by-step explanation:
bc when u do rotations you have to do it step by step and if u miss a step u wont get in right
Answer: Rotations
Step-by-step explanation:
Because the conversions are a bit tricky to deal with.
9
2 points
Item 9 is unpinned. Click to pin.
Fill in the blanks by creating the line perpendicular to
y
=
1
3
x
−
3
y=
3
1
x−3 that goes through (-1, -4) in slope intercept form.
FOR YOUR ANSWER, ONLY TYPE NUMBERS.
y =
Question Blank
x -
Question Blank
Answer: uhh
Step-by-step explanation:
I really don’t know how to do it.
29points!
Match the vocab word with the definition:
.1Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed
2.
An expression that consists of numbers, operations, and sometimes grouping symbol.
3.
The order in which operations must be computed when more than one operation is involve.
4.
A number representing how many times the base number should be multiplied by itself.
5.
A Symbol that represents a value that can change.
6.
A single number or variable, or numbers and variables multiplied together.
7.
The numerical factor in a term. A number being multiplied by a variable.
8.
A number on its own, it has a fixed value.
9.
A combination of variables, numbers, and operations.
10.
You replace, or substitute, all the variables with numbers and then simplify.
11.
A statement that the values of two math expressions are equal (indicated by the sign =).
12.
The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
13.
The symbol of a math operation.
plus, minus, times, divided by, equals
14.
An equation or inequality containing one or more variable
Open Sentence
Exponent (Power)
Numerical Expression
Operator
Term
Evaluate
Order of Operations
Grouping Symbol
Constant
Coefficient
Variable Expression
Equation
Inequality
Variable
A:8
B:14
C:3
D:11
E:7
F:4
G:1
H:12
J:9
K:10
L:2
M:6
N:5
O:13
which expression can be used to solve 3/5 divided by 7/10?
Answer:
C
Step-by-step explanation:
Keep Change Flip
Keep the first; change divided by multiply; then flip the last
421 × 18 ≈ ____ × ____ = ____
Answer:
Step-by-step explanation:
3473 8209ewu8wpwads =a d=waduwa sd a-= dwausS-d wa-sd was-d-aaa-d w=a dwa98-dhs;odwa s7dwa=w=da=da-dad-a w8ahspd-wasd wa-d 8-wasdwaf 0rgk9r8f
Answer:
18 x 421 = 7578
Step-by-step explanation:
421 x 18 = 7578