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.
9x+ 27 = 9(x+ 2) + 9
Answer Infinitely many
Step-by-step explanation:
9) There are six girls and 12 boys in Ms. Jeffry's environmental club. She wants to divide the students into groups with the same number of boys and the same number of girls in each group. What is the maximum number of groups she can make? *
No . of girls in Ms. Jeffry's environmental club = 6
No . of boys in Ms. Jeffry's environmental club = 12
To find the maximum number of groups she can make , we have to find the highest common factor ( HCF ) of the number of boys and girls in her club .
Factors of 6 = 1 , 2 , 3 and 6
Factors of 12 = 2 , 3 , 4 , 6 and 12
Hence the highest common factor of 6 and 12 are 6 .
Therefore , the maximum number of groups Ms . Jeffry can make where the number of girls and boys are same are 6 .
For the equation 4(2x-3)-(mx+5)=5x+b to be an identity, which of the following must be true about the constants m and b? Show your work
(1) m = 3 and b = -7
(2) m = 8 and b = 17
(3) m = -3 and b = -15
(4) m = 3 and b = 17
Given:
The equation is
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
To find:
The values of m and b.
Solution:
We have,
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
Using distributive property, we get
[tex]8x-12-mx-5=5x+b[/tex]
On combining like terms, we get
[tex](8-m)x+(-12-5)=5x+b[/tex]
[tex](8-m)x-17=5x+b[/tex]
On comparing both sides, we get
[tex](8-m)=5[/tex]
[tex]-m=5-8[/tex]
[tex]-m=-3[/tex]
[tex]m=3[/tex]
And,
[tex]b=-17[/tex]
Therefore, m = 3 and b = 17.
Note: All options are incorrect.
Tara buys clay in a tube that is 2 feet long.
She is making clay fl owers and each fl ower
requires __
3
4 foot of clay. How many whole
fl owers can Tara make from the tube of
clay? Tara used the following model to
help her solve the problem.
please help me with this! thank you so much!
Answer: Look at the photo
Step-by-step explanation:
[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]
Substract 5 from both sides
[tex]7x = 175[/tex]
Divide by 7 from both sides
x = 25
I NEED A PROFESSIONAL ON MATH PROBLEMS NOW!!
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is
$____
Answer:
$62
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer:
62
Step-by-step explanation:
1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer
recipes during each week of school. Write an equation that shows the relationship between the number of
weeks and the number of appetizer recipes.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn
during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in
school
(d) Explain your answer to Part 1c.
Answer:
Answer:
(a) The dependent variable = The total number of new appetizer recipe Tara knows = y
The dependent variable = The total number of new appetizer recipe Tara learns = A
The independent variable = Number of weeks she is in school = x
(b) A = 3 × x
(c) 58 recipes
(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew
Step-by-step explanation:
The given parameters are;
The number of appetizer recipes Tara already knew = 4
The number of new appetizer recipe she will learn each week of school = 3
(a) The dependent variable = The total number of new appetizer recipe Tara knows = y
The dependent variable = The total number of new appetizer recipe Tara learns = A
The independent variable = Number of weeks she is in school = x
The added constant term = The number of appetizer recipes Tara already knew = 4
(b) The equation for the number of appetizer, A, she will learn during school is give as follows;
The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +
A = 3 × x
(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;
y = A(18) + The number of appetizer recipes Tara already knew
A(18) = 3 × 18 = 54
y = 54 + 4 = 58 recipes
(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.
3 types of no correlation scatterplots
Answer:
correlation: positive, negative, none
Step-by-step explanation:
4x - 12 +7x
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
How many terms are in the above expression?
Answer: 4 is a coefficient, because it's in front of a variable. x is a variable, because it's an unknown value. 12 is a constant, because it's just a value by itself. There are three terms: 4x, -12, and 7x.
Step-by-step explanation:
4 in.
8 in.
7 in.
Pls help
Answer:
I assume you're asking for the volume, which is 224
Step-by-step explanation:
4x7x8=224
Write: x^2 + 8x + 10 in the form (x + a)^2 + b
Answer:
Step-by-step explanation:
Here, b=8 and c=10, so,
a=b/2
=8/2
=4
and
b=c-a²
=10-16
=-6
∴(x+a)²+b=(x+4)²-6
Pls mark me brainliest
How do you graph y=1/2x -2
Answer:
Graphing y=1/2x-2 will look like this on the graph
Answer:
Step-by-step explanation:
the 1/2 is a gradient so you go up 1 for every 2 to the right
the -2 is the Y intercept so you start graphing the gradient from -2 on the Y axis
hola , alguien me podria decir cuanto es x+y=47 , tomando en cuenta que 40 alumnos y 14 profesores van de viaje , y en el hotel que se quedaran , los alumnos dormiran en cuartos dobles (2 camas) y los profesores en sencillas (1 cama) , y sumando en total son 47 habitaciones y 79 camas , y la incognita x es las habitaciones sencillas y la incognita y son las habitaciones dobles
Answer:
Step-by-step explanation:
40s=40×2=x
14t=14×1=y
40s=80
x=80
14t=14
y=14
A birthday cake was cut into equal pieces, and two pieces were eaten. The
fraction below shows how many pieces were left. According to the fraction,
how many pieces were not eaten?
9
11
A. 13
B. 9
C. 2.
O
D. 11
O
Answer:
I think c is the answers but I could be wrong
Solve the equation and enter the value of x below.
x + 29 = 49
X =
Answer:
x = 20
Step-by-step explanation:
x + 29 = 49
- 29 - 29
x=20
Can you find the solution
Each ___ real number has no real square root. What is the answer on the line?
Answer:
Negative. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
It is linear because the graph decreases over time.
It is linear because there is both an independent and a dependent variable.
It is nonlinear because linear functions are increasing functions.
It is nonlinear because linear functions increase or decrease at the same rate
Answer:D
Step-by-step explanation:cuz im cool
Answer:
It is nonlinear because linear functions increase or decrease at the same rate.
Step-by-step explanation:big brain(:
؟
A student answers a test of 10 questions
in which he must answer "True"
"false", of
wich he is only sure of the answers he
gave
five questions, he answers the remaining
five at randone
What is the probability of that accredits at
least six in the exam?
so
Answer:I’m guessing 3 because there’s 10 he knows 5 are right so that’s half of the test, so he would receive half of the credits and half of 6 is 3.
Step-by-step explanation:
2) Find the GCF of 35 and 28
Answer: 7
Step-by-step explanation:
11) g= y - xc , for x
What is Piccolo?
A. Saiyan
B. cyborg
C. Namekian
D. Dermotologist
Answer:
The answer is C
[tex]\huge\boxed{\fcolorbox{purple}{yellow}{Answer}}[/tex]
C) Namekian[tex]{\huge{\underbrace{\overbrace{\purple{hope \: it \: helps \: you \: plz \: mark \: me \: brainliest \: .-}}}}}[/tex]
Help me :( please omg this is to hard for me
Answer:
The answer is 39.
Step-by-step explanation:
bc^2 + a / c
=(9)(4)^2 + (12) / (4)
=(9)(4*4) + (12) / (4)
=(9)16 + (12) / (4)
=144 + 12 / 4
=156 / 4
=39
Answer:
327
Step-by-step explanation:
when the variables are together multiply
so
9×4=
36
36²=
1296
1296+12=
1308
1308÷4=
327
hope this helps!
1,11,111,1111 what is the next to terms in the sequence and is it geometric or Arithmetic
What is the minimum angle of rotation lin degrees that will carry the six-sided star onto itself?
What’s the degree
Answer:
120 degrees
Step-by-step explanation:
If it's a 6 sided star, that means that it will be divided into 3 parts (think about how a normal 5-point star has 10 sides). That means that we divide 360 (total number of degrees in a full rotation) by 3 (number of sections) = 120
Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are 36 apples in the basket, there are (Your answer here ) peaches in the basket
I will give 80 points for this
Answer:
What is the question?
And also.
Please mark as brainliest.
Answer:
they are in the bathroom, the other one is in my bedroom. BOOM Please give me brainliest
Step-by-step explanation:
Find the missing side
Answer:
its E 21
Step-by-step explanation:
What value should go in the empty boxes to complete the calculation for finding the product of 0.59 × 0.37? Both numbers are the same; however, only input the number one time in your answer. 0.59 times 0.37 gives two unknown partial products. The first product is 413. The second product is 1 thousands, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones. These products are being added. Numerical Answers Expected! Answer for Blank 1:
Answer:
1 7 _7 0
Step-by-step explanation:
From this Given information:
We are to find the product of:
0.59
× 0.37
However, the first product is given as 413;
Also, the second product is 1 thousand, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones.
Mathematically; i.e. 1 __ __ 0
i.e.
0.59
× 0.37
4 1 3
+ 1 __ __ 0
So, to work out the unknown; we look for the multiplication of:
0.59
× 0.37
This is calculated as:
0.59
× 0.37
4 1 3
1 7 7
0 0 0
1 1 8 3
Thus:
1183 - 413 = 770
i.e
the unknown value in the hundreds place is highlighted in bold format = 700
the unknown value in the tens place is highlighted in bold format = 70
You are at a restaurant and the check comes to a total of $34. If you want to leave a 16% tip, how much total money should you pay, to the nearest cent?
Answer:
34*1.16 = $39.44
Step-by-step explanation:
Answer:
$39.44
Work:
Convert percentage to decimal:
16%=16/100=0.16
Percent formula:
a(1+r)
34(1+0.16)
34(1.16)
39.44
Total amount paid:
39.44