Answer:
The y-intercept is 12.
It represents the original length of the candle.
Step-by-step explanation:
y = 12 - 0.2x
y = 0.2x + 12
y = mx + b
b is the y-intercept.
b = 12
The y-intercept is 12.
It represents the original length of the candle.
Please help!!! ASAP!
Each person in a group of twenty people at a hotel orders one meal chosen from oatmeal, eggs, or pancakes and one hot beverage chosen from coffee or tea. One person will be selected at random from the twenty people. What is the sample space for the meal and beverage for the person selected
Answer:
[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]
Step-by-step explanation:
Given
[tex]Meal = \{Oatmeal, Eggs, Pancakes\}[/tex]
[tex]Beverage = \{Coffee, Tea\}[/tex]
Required
Determine the sample space
The sample space is a list of combination of 1 meal and 1 beverage.
Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same
The sample space (S) is as follows:
[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]
Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent $62 on 5 hostas and 4 pots of ivy. Danielle spent $144 on 8 hostas and 12 pots of ivy. What is the cost of one hosta?
Answer:
The cost of one hosta is $6
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the variables are:
x = price of a hosta .y = price of a pot of ivy.If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62
If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144
So, the system of equations to solve is:
[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]
One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.
Isolating y from the first equation:
[tex]y=\frac{62-5*x}{4}[/tex]
and replacing this expression in the second equation you get:
[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]
Solving:
[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]
8*x + 3*(62-5*x)=144
8*x + 3*62 - 3*5*x=144
8*x + 186 - 15*x=144
8*x - 15*x=144 -186
(-7)*x= -42
x= (-42)÷ (-7)
x= 6
The cost of one hosta is $6
PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are at opposite elevation is because they are in opposite directions is he correct? Explain. I only have 2 more days to finish my work!
Answer:
Yes, he is correct
Step-by-step explanation:
Represent Michael's home with M and his mother's with H
So, we have:
[tex]M = 12\ ft (below)[/tex]
[tex]H = 12\ ft (above)[/tex]
Required
Is Michael correct?
First, we get the numeric values of the given parameters.
Below sea level means negative:
So:
[tex]M = 12\ ft (below)[/tex] will be rewritten as:
[tex]M = -12[/tex]
Above sea level means positive:
So:
[tex]H = 12\ ft (above)[/tex] will be rewritten as:
[tex]H = 12[/tex]
Two numbers [tex]A\ and\ B[/tex] are said to be opposite if [tex]A + B=0[/tex]
For Michael to be correct:
[tex]M + H = 0[/tex]
Substitute values for M and H
[tex]-12 + 12 = 0[/tex]
[tex]0 = 0[/tex]
Hence, Michael is correct
MULTIPLE CHOICE
What do you get when you subtract the actual
number from the estimated number?
A. Absolute Value
B. Error
C. Percentage error
D. Sum
Answer:
C
Step-by-step explanation:
When you subtract the actual number from the estimated number then, its called 'Error''.
Option B is true.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
You subtract the actual number from the estimated number.
Now,
We know that;
To find the error , we subtract the actual number from the estimated number.
Hence, We get;
After subtract the actual number from the estimated number, the result is called ''Error''.
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ2
Solve the inequality:
2x+4 ≥ 24
x ≥ 10
x ≥ 6
x > 10
x < 10
y = 15x + 75
Interpret the slope
Answer:
15
Step-by-step explanation:
The equation of a line is y=mx+b
m= slope
m=15
slope =15
x-intercept(s): (−5,0)
y-intercept(s): (0,75)
A rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of this rectangular prism in square inches?
Answer:
SA=78.5
Step-by-step explanation:
Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.
20+36+22.5=78.5
kjdhkdjfhgksdjghkdfs
Answer:
40 is the answer
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
To make a certain shade of green, Kyle mixes 2 cups of blue paint with 10 cups of yellow paint. If he needs to make more green paint but only has 1 cup of blue left, he will need cups of yellow paint
Answer:
he will need 5 cups of yellow paint
Step-by-step explanation:
10÷2=5, and that means he will need 5 cups of yellow paint per one cup of blue paint
what is 15267 times 16459 then divide by 7?
Answer:
33297327
Step-by-step explanation:
(15267 * 15267) ÷ 7
= 15267 * 15267
= 233081289 ÷ 7
= 33297327
Hope this helps! :)
Adrianna and her friend rode the bus 13 times in a month and it cost $4 for each of them each time. If Arianna always paid for both of them, how much did it cost her for the month?
CAN SOMEONE HELP ME HOW U DO THIS
Answer: 10% of 65.9
Step-by-step explanation:
Need help please !!!!
Answer:
3rd 1
Step-by-step explanation:
because ive done math for 17 years
a bamboo shoot is 20 inches tall at day zero
Answer:
ok, and?
Step-by-step explanation:
Next time you post a question. Make sure it is complete
(2m + 7) + (5x + 4) =
Hurry help please
Answer:
5x + 2m + 11
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(2m + 7) + (5x + 4)
Step 2: Simplify
Combine like terms (Z): 5x + 2m + 11The price of an item has been reduced by 85% the original price was $95 what is the price of the item
Answer:
14.25
Step-by-step explanation:
95 x 0.85 = 80.75
95-80.75 = 14.25
If 9 exercise books books cost N540.00 how many will 14 of such cost.
Answer:
840
Step-by-step explanation:
im probably wrong
Answer: 14 books will cost 840$
Step-by-step explanation: 540/9=60
60= cost of individual book
60*14=840
840= cost of 14 books
According to Greg, perfect cherry pies have a ratio of
240
240240 cherries to
3
33 pies.
How many cherries does Greg need to make
9
99 perfect cherry pies?
Answer:1200 pies
Step-by-step explanation: so like, its confusing with all this change into like weird stuff. but just multiply 240 by 5.
What is 4/5 + 3/4 I need it for my homework
Answer:
4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55
Step-by-step explanation:
This can be solved by first finding the highest common factors of denominators of the two fractions, i.e. 4 and 5.
The highest common factor of 4 and 5 can be found by multiplying the two numbers as follows:
The highest common factor of 4 and 5 = 4 * 5 = 20
This can now be used to solve 4/5 + 3/4 as follows:
4/5 + 3/4 = ((4 * 4) + (5 * 3)) / 20 = (16 + 15) / 20 = 31 / 20 = [tex]1\frac{11}{20}[/tex] or 1.55
Therefore, we have:
4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55
What is 1+1 need the answer ASAP.
Answer:
Step-by-step explanation:
2
Which table represents a linear function?
Answer:
The fourth option, it's the only FUNCTION that is also not exponential
Step-by-step explanation:
how many kilometers will a car travel in t hours at a rate of v km per hour
Answer:
vt km
Step-by-step explanation:
t - time
v - velocity
s - displacement (aka how many killometers)
the formula for s:
s=v×t
Solve the inequality
Answer:
C. y<-4
Step-by-step explanation:
y/-2+3<5y/-2<5-3y/-2<2y<2x-2y<-4evaluate :5+1/6(-5/3)
Answer:
Step-by-step explanation:
Use PEMDAS
First you do the multuplication of
1/6*(-5/3)=-5/18
Next you do the addition
5+(-5/18)= 90/18-5/18= 85/18
Savannah wants to buy a new tablet that costs $140. She has a coupon expiring this week that is for 15% off any item. Next week, the tablet will be on sale for $125. When is it a better deal for Savannah to purchase the tablet, and why?
Answer:
Its better to buy this week because it is cheaper with using coupon.
Step-by-step explanation:
140 x 0.85 = 119
125 > 119
the length of a rectangular feild exceeds its breadth by 15m and perimeter is 90m. Find its area
Answer:
450
Step-by-step explanation:
Length = l
Breadth = b
l = 15 + b
Perimeter = 90
Perimeter = 2(l + b)
90 = 2(15 + b + b)
90 = 2(15 + 2b)
90 = 30 + 4b
90 - 30 = 4b
60 = 4b
60/4 = b
15 = b
Hence, l = 15 + 15 = 30
Area = l * b
Area = 30 * 15
Area = 450 unit²
A sunflower grows at a rate of 4cm each day.
How many days does it take to grow from a height of 80cm to more than 1.06m?
Answer:
6.5 days
Step-by-step explanation:
106 - 80 =26
26/4= 6.5 days
Answer:
for 80cm
1 =4 cm
x=80cm
4 cmx=80 cm
4 cm. 4 cm
x=20 days
Step-by-step explanation:
1 is equal to 4cm
there x is equal to 80cm
cross multiply
then divid though by 4 because it has letter x
and finally you 20 days as your answer.
PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!
The height of a tennis ball
tossed into the air is modeled by h(x) = 40x -16x^2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground?
I’m pretty sure it’s D but I need an explanation why!!!
[tex]h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\[/tex]
Using the quadratic formula we get
[tex]x_1 = 0.5\\x_2 = 2.04[/tex]
Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds
x = 1
x = 2
x = 3
x = 4
Answer:
x=-12.8 or −64 /5
Step-by-step explanation:
ok easy as pie
interior plus exterior is 180 degrees
so 180-130=50
we know the last angle = 50
now lets add them all up and they should be equal to 180
all traingles interior angles add up to 180
180=(-21x+1)+(11x+1)+(50)
now solve
180=-21x+1+11x+1+50
180=-10x+52
52-10x=180
subtract 52
-10x=128
-12.8=x
x=-12.8 or −64 /5