Answer:
100 animals = $1000.00
-) Find the equation of the line that passes through (1,0) and (3,6).
The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.
Given points:
Point 1: (1, 0)
Point 2: (3, 6)
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates:
m = (6 - 0) / (3 - 1)
m = 6 / 2
m = 3
Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).
Using Point 1 (1, 0):
0 = 3(1) + b
0 = 3 + b
b = -3
Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):
y = 3x - 3
Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.
Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.
For more such questions on equation of a line, click on:
https://brainly.com/question/18831322
#SPJ8
An empty bathtub is filled at a constant rate of 8 gallons per minute. The bathtub will hold 36
gallons of water when full. The volume. V. of water in the bathtub is a function of t. the time
in minutes.
Which is the best description for the domain of the function V?
Answer:
0 ≤ t ≤ 4.5.
Step-by-step explanation:
Since the volume of the tub, V is increasing at a rate of 8 gallons per minute, the volume of the bathtub at any time, t is V = 8t.
Now, to find the domain of the function, V, we know that the minimum value for V is zero and the maximum value is 36. Now, at V = 0,
V = 8t
0 = 8t
t = 0 and at V = 36 gallons,
V = 8t
36 = 8t
t = 36/8
t = 4.5 minutes
Since 0 ≤ V ≤ 36, 0 ≤ t ≤ 4.5.
So, the domain of the function V is 0 ≤ t ≤ 4.5.
6=2u + 42 + 2u
solve for u
Answer:
u = -9
Step-by-step explanation:
Answer:
u=-9
Step-by-step explanation:
2u+2u=4u
6-42=-36
-36/4
-9
For his craft project, James bought 101010 pieces of ribbon that were each 2.1\text{ feet}2.1 feet2, point, 1, start text, space, f, e, e, t, end text long.
How many total yards of ribbon did James buy?
9514 1404 393
Answer:
7
Step-by-step explanation:
The total length of ribbon is ...
(10)(2.1 ft) = 21 ft
There are 3 feet in a yard, so the number of yards is ...
(21 ft)×(1 yd)/(3 ft) = 7 yd
PLEASE HURRY 100P I REALLY NEED THIS!!!!!
The range of the data is 30, and the interquartile range (IQR) is 15.
To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.
From the given data, we can determine the five-number summary as follows:
Minimum: 60
Q1: 70
Median (Q2): 80
Q3: 85
Maximum: 90
Now, let's create a box plot using this information:
```
| | | | |
60 |––––––––|––––––––| |
| | | | |
70 |––––––––|––––––––|––––––––|––––––––|
| | | | |
80 |––––––––|––––––––|––––––––|––––––––|
| | | | |
90 |––––––––|––––––––| |
| | | | |
------------------------------------
60 70 80 90
```
In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.
The range can be calculated as the difference between the maximum and minimum values:
Range = Maximum - Minimum = 90 - 60 = 30
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):
IQR = Q3 - Q1 = 85 - 70 = 15
Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.
for more such question on range visit
https://brainly.com/question/30389189
#SPJ8
2 The driver of the water tanker works for 5½ days per week and 9 hours per day on week days except on Saturdays where they work for a ½ day (4,5 hours). The rate per hour was R92,50 and the rate of pay was doubled on Saturdays. 2.1 2.2 Calculate the amount of money that the tanker driver receive per day during week days. Determine the total number of hours that the driver has worked in March 2022. (2) (2) (3)
a) The amount the tanker driver receives per day during weekdays is R832.50.
b) The total hours that the driver worked in March 2022 were 66 hours.
How are the amount and hours determined?The amount that the tanker driver earns per day is determined using multiplication operations.
Multiplication operation involves the multiplicand, the multiplier, and the product.
The number of days that the driver works per week = 5½ days
The number of hours that the driver works per day = 9 hours
The number of hours on Saturday = 1/2 days = 4.5 hours
Hourly rate per hour = R92.50
Saturday hourly rate per hour = R185 (R92.50 x 2)
a) The amount the tanker driver receives per day during weekdays = R832.50 (R92.50 x 9).
b) The total hours that the driver worked in March 2022 = 66 hours (5½ x 4 + 3).
Learn more about multiplication operations at https://brainly.com/question/4721701.
#SPJ1
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
\(x=-2 \implies y=(1/3)^{-2}=3^{2}=9\\\\x=-1 \implies y=(1/3)^{-1}=3\\\\x=0 \implies y=(1/3)^0=1\\ \\ x=1 \implies y=1/3\\\\x=2 \implies y=(1/3)^2 =1/9\)
Using these points, the correct graph is shown in option C.
:) Please help!!!!!!
Answer:
Im probably very wrong and im sorry but it would be C for me.
Step-by-step explanation:
if it is right can i get brainliest
5(2x + 1) = 50
I thought u divide by 5 then divide by 2 then -1
Answer: x = 9/2
Step-by-step explanation:
Given
5(2x + 1) = 50 (divide both sides by 5)
2x + 1 = 10 (subtract 1 from both sides)
2x = 9 (divide both sides by 2)
x = 9/2
samuel is buying a bicycle with a price of $ 60 . The sales tax is 8 % of the price. The total price of the bicycle including sales tax is how much money?
Answer: 64.80
Step-by-step explanation:
The sales tax is 8% of the price, which means the tax amount is:
Tax = 8% of $60 = 0.08 * $60 = $4.80
To find the total price of the bicycle including sales tax, we need to add the tax amount to the original price:
Total price = $60 + $4.80 = $64.80
Therefore, the total price of the bicycle including sales tax is $64.80.
Daisy had 2 3/4
bags of mulch to put in her yard. Each bag will cover 235.5 ft2
. How much square feet will she be able to cover is she uses all of the bags of mulch?
help me plsssssss
Answer:
mmmmmmm
Step-by-step explanation:
n
Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.
The amount of mulch is given as:
\(Bag = 2\frac 34\)
The area covered by each bag is given as:
\(Area = 235.5ft^2\)
If she uses all bags, the total area covered by the bags is:
\(Total = Bag \times Area\)
So, we have:
\(Total = 2\frac 34 \times 235.5ft^2\)
Rewrite the fraction as an improper fraction
\(Total = \frac {11}4 \times 235.5ft^2\)
This gives
\(Total = \frac {2590.5}4 ft^2\)
\(Total = 647.625 ft^2\)
Hence, she will be able to cover a total area of 647.625 square feet
Read more about areas at:
https://brainly.com/question/24487155
1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.
A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70
2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.
A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42
3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.
A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17
4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.
A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15
Answer:
1 = C
2 = B
3 = B
4= C
Step-by-step explanation:
Im not 100% sure but.. i tried
Answer:sike i lied i must provide
Step-by-step explanation: its ez just do it
what is the square root of 4/25
Answer:
square roots of 25 =5
Step-by-step explanation:
5×5= 25
What is the cardinal number of the set containing all negative integers greater than −8?
Answer: positive 7
Step-by-step explanation:
Cardinal number of the set containing all negative integers greater than −8 is 7.
What are cardinal number?In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.
Now the given set is all negative integers greater than -8.
Let S be the set,so
S = {-7,-6,-5,-4,-3,-2,-1}
now to find the cardinality, we see that set S has 7 elements.
Cardinality of Set S is 7.
Hence, cardinal number of the set containing all negative integers greater than −8 is 7.
More about Set and Cardinality :
https://brainly.com/question/27965678
#SPJ2
1) write the equation of the
line in slope intercept form
that passes through (0,-2)
and (2,1).
Answer:
y=3/2x-2
Step-by-step explanation:
Find the slope first:
\(m=\frac{y_{2-y_{1} } }{x_{2}-x_{1} } =\frac{1-(-2)}{2-0}=\frac{3}{2}\)
Then solve for y-intercept:
\(y=\frac{3}{2}x+b\\-2=\frac{3}{2}(0)+b\\-2=b\)
Now, write out your complete equation:
y=3/2x-2
which is the following is true about the graph of linear inequalities?
a.)it is a line
b.)it is a parabola
c.)it os a curve
d.)it is a half-plane
Answer:
d.) half-plane..
Reason:
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
2) Determine whether 5 would be a solution to the inequality w+ 11 < 22.* 1 po Yes, it is a solution. No, it is not a solution.
Answer:
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
Answer:
Yes, w=5 is a solution for this inequality.
Step-by-step explanation:
w+11<22
If w=5, this is:
5+11<22
16<22, which is true. So w=5 works as a solution
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
Learn more about mixed numbers here:
https://brainly.com/question/21610929
#SPJ1
A 20% off coupon for
Applebee's got you $4
off your meal. What
was the cost of your
meal?
Answer:
$20
Step-by-step explanation:
20% is equal to 20/100 therefore, if 5 x 20 is 100, you would multiply 5 x 4 and get 20,
the reason you don't subtract the $4 is because it says "was" so the answer is $20
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Four friends went to eat at a restaurant. The bill came to $25.68 after tax and tip. One friend had a $5.00 off coupon that the cashier needed to take off the total bill. How much is each person to pay if they split the bill equally after the discount?
Answer:
$5.17
Step-by-step explanation:
Take 25.68 and subtract the $5.00 coupon. Then divide the total by 4 to get the answer
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. y = x² + 7x + 10
Step-by-step explanation:
I graphed the equation on the graph below to show you how I got my answer.
in a geography textbook,35% of the page is colored. if there are 98 colored pages, how many pages are there in the whole textbook?
Answer:
There are totally 280 pages in that book
Step-by-step explanation:
let the total pages be x.
From the question we know that 98 pages are the 35% of total pages...
so,
(98/x)*100 = 35
98/x = 35/100
reciprocal both sides...
x/98 = 100/35
x = 2.857 * 98
x = 280
There are total 280 pages in the textbook.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
Given that, in a geography textbook, 35% of the page is coloured and there are 98 coloured pages'
Let the total pages in the textbook be x, then,
35% of x = 98
x = 98*35/100
x = 280
Hence, There are total 280 pages in the textbook.
For more references on Percentage, click;
https://brainly.com/question/14979505
#SPJ2
HURRY PLEASE 6TH GRADE MATH HERE. A football field is 100 yards in length. How many inches long is a football field? 300 inches 360 inches 3,000 inches 3,600 inches
answer: 3600
Answer:
3,600
Step-by-step explanation:
1 yard= 36 inches
36 inches*100= 3,600
__________________________________________________________
Brainliest? I am trying to get to a new rank so I can help more people and I would totally appreciate it if you did!
Merry Christmas!
Answer:
3600
Step-by-step explanation:
Zara is selling two kinds of baskets at a bake sale. The baskets are sold in two sizes: large and small. There are 3 cupcakes and 6 chocolate chip cookies in each small basket. There are 9 cupcakes and 12 chocolate chip cookies in each large basket. Zara has a total of 180 cupcakes and 300 chocolate chip cookies.
QUESTION 1
Write the system of inequalities that represents this situation.
Answer:
I don't know sorry :((
Step-by-step explanation:
share in other part :(
Please help questions 5-10 this is easy…. NO SCAMS I WILL BE REPORTING ALL SCAMMERS U WILL NOT GET THE POINTS
The value of the missing probability for the given probabilities and condition of independent events is equal to 0.45.
Here,
Probability of the events A and B are,
P(A) = 7/10
P(A or B) = 167/200
Apply the formula for the probability of the union of two events,
P(A or B) = P(A) + P(B) - P(A and B)
Since events A and B are independent, we know that,
P(A and B) = P(A) x P(B)
This implies,
P(A or B) = P(A) + P(B) - P(A) x P(B)
Substitute the values we have,
⇒ 167/200 = 7/10 + P(B) - (7/10) x P(B)
⇒ 167/200 = [ 7 + 10P(B) - 7P(B) ] /10
⇒167/20 = 7 + 3P(B)
⇒3P(B) = 167/20 - 7
⇒ 3P(B) = (167 - 140)/20
⇒3P(B) = 27 /20
⇒P(B) = 9/20
⇒P(B) = 0.45
Therefore, the value of the probability P(B) is equal to 0.45.
learn more about probability here
brainly.com/question/30599131
#SPJ1
complete question:
Events [A] and [B] are independent. Find the missing probability.
P(B) = ?
P(A) =
7/10
P(A or B)
167/200
A new gaming chair costs $309.99. You have already saved $144.99 and earn $27.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
27.5w − 144.99 = 309.99; w = 17
27.5 + 144.99w = 309.99; w = 6
27.5w − 309.99 = 144.99; w = 17
27.5w + 144.99 = 309.99; w = 6
The linear equation we need to solve is:
$27.50*w = $309.99 - $144.99
And the solution is w = 6.
How to write and solve the equation?
We know that the cost of the gaming chair is $309.99.
To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:
f(w) = $144.99 + $27.50*w
So the linear equation we need to solve is:
$144.99 + $27.50*w = $309.99
To solve this we need to isolate w.
$144.99 + $27.50*w = $309.99
$27.50*w = $309.99 - $144.99
w = ($309.99 - $144.99)/$27.50 = 6
So they can buy the chair after 6 weeks.
Learn more about linear equations at:
brainly.com/question/13763238
#SPJ1
y=2/3x + 7/3 -4x+6y=14
The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.
What is a incοnsistent system?If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.
Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.
There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.
The given equatiοns are:
y = 2/3x + 7/3
-4x+6y=14
Substituting the value of y in the second equation:
-4x + 6y = 14
-4x + 6(2/3x + 7/3) = 14
-2x + 4x + 14 = 14
2x = 0
x = 0
Substitute the value of x = 0 we have:
y = 2/3(0) + 7/3
y = 7/3
Hence, the solution of the system of equation is x = 0 and y = 7/3.
Learn more about system of equations here:
https://brainly.com/question/24065247
#SPJ1
Complete question:
Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14
Find the value of x and y.
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
63,16