Answer:
y = 9x
Step-by-step explanation:
We can make the x-values represent how many hours Jessica babysat, and the y-values represent how much money she earned each day.
We have these points:
(3, 27)(6, 54)(7, 63)The days of the week she worked do not matter in this problem. We are just trying to find the association between hours worked and money earned.
We can start by finding the slope of the line by using two of the points. I will be using (3, 27) and (6, 54).
The slope formula is [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex].
Substitute these two points into the formula:
[tex]\displaystyle m = \frac{54-27}{6-3}[/tex] [tex]\displaystyle m = \frac{27}{3}[/tex][tex]m=9[/tex]The slope of the line is m = 9.
Now, we can use the point-slope equation to find the equation of the line that represents Jessica's earnings.
Point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].
Substitute the slope m = 9 and the point (3, 27) into the equation.
[tex]y-(27)=9(x-(3))[/tex] [tex]y-27=9(x-3)[/tex] [tex]y-27=9x-27[/tex][tex]y=9x[/tex]The equation y = 9x represents Jessica's earnings, where x represents hours and y represents earnings.
The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will be the volume of the pyramid? Find it
Answer:
384 cubic centimeters
Step-by-step explanation:
We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.
__
face areatotal surface area = base area + area of 4 faces
area of 4 faces = total surface area - base area
area of 4 faces = 384 cm² -144 cm² = 240 cm²
area of 1 face = 240 cm²/4 = 60 cm²
__
slant heightThe side length of the square base is ...
A = a²
a = √A = √(144 cm²) = 12 cm
and the slant height of one face is ...
A = 1/2as
s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm
__
pyramid heightThe distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:
H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg
H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid
__
volumeNow we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...
V = 1/3BH
V = 1/3(144 cm²)(8 cm) = 384 cm³
The volume of the pyramid will be 384 cm³.
NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!
When you list all of the possible outcomes in a sample space by following an organized system (an orderly process), it is called a systematic list. There are different strategies that may help you make a systematic list, but what is most important is that you methodically follow your system until it is complete.
To get home, Renae can take one of 4 buses: #41, #28, #55, or #81. Once she is on a bus, she will randomly select one of the following equally likely activities: listening to her MP3 player, writing a letter, or reading a book.
a. Create the sample space of all possible ways Renae can get home and do one activity by making a systematic list.
b. Use your sample space to find the following probabilites:
i. P(Renae takes an odd-numbered bus)
ii. P(Renae does not write a letter)
iii. P(Renae catches #28 bus and then reads a book)
c. Does her activity depend on which bus she takes? Explain why or why not.
Answer:
Part (a)
see attached for sample space
Part (b)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Total number of possible outcomes = 12
[tex]\textsf{P(Renae takes an odd-numbered bus)}= \dfrac{9}{12}=\dfrac34[/tex]
[tex]\textsf{P(Renae does not write a letter)}= \dfrac{8}{12}=\dfrac23[/tex]
[tex]\textsf{P(Renae catches no.28 bus then reads a book)}= \dfrac{1}{12}[/tex]
Part (c)
Her activity does not depend on which bus she takes, as we have been told that once she is on the bus, she randomly selects the activity. Therefore, the activity selection is independent from the bus selection.
The sample space confirms this as it shows that the probability of the selecting each activity is equally likely for each of the 4 buses.
118 x 2 what is the sum
Answer:
236
Step-by-step explanation:
Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many numbers are greater than 55?
Answer:
45 two digit odd numbers are possible.
Which statement best
explains whether using a calculator or determining the solution by hand would be the most
efficient way to fully simplify the expression
5/8 + 1/8 + 2/5 - 1?
•The sum of the first two fractions can easily be determined, but because the third fraction has a different
denominator, solving this
using a calculator would most likely be more efficient.
•Adding and subtracting whole numbers and fractions is always a time-consuming process to complete by hand, so
solving this using a calculator would most likely be more efficient.
•The first calculation can be done quickly by hand, so solving this problem by hand would most likely
efficient.
be more
•
The denominators of the first two terms cancel each other out, so solving this problem
more efficient.
by hand would most likely be
Please hurry up I am timed
Answer:
The First one
Step-by-step explanation:
What do scientists believe are the descendants of dinosaurs?
A. Fish
B. Birds
C. Chimpanzees
D. Rats
Answer:
B
Birds are related to theropod dinosaurs — a group that includes the Tyrannosaurus rex.
Theropods were bipedal dinosaurs, meaning they walked on two legs, not four like many other dinosaurs. When we look at the modern-day emu or ostrich, the resemblance to these dinosaurs is striking, especially when examining their bone structure.
Birds have scales like many dinosaurs and some dinosaurs may have had feathers.
Scientists have discovered that the tissues used to produce scales in reptiles are similar to those that produce feathers in birds. This suggests that there is a common ancestor between dinosaurs, birds, and reptiles. Furthermore, birds have scales on their feet!
Birds lay eggs similar to dinosaurs and reptiles.
The similarities between bird and reptile eggs are well known, but they also share traits with dinosaur eggs.
Most dinosaur eggs are hard-shelled, just like the eggs of our modern-day feathered friends. They are also both made up of the same basic elements, calcium, and carbon, which form crystal structures that make the eggshell more difficult to crack.
What is a good first step to solve 4x + 3 = 15?
O Subtract 3 from both sides.
Combine 3 and 15 to make 18.
O Divide by 15.
O Add 4x and 3.
Divide both sides by 4.
How many ounces of pure alcohol should be added to 500 ounces of 35 % alcohol solution to produce a solution that is 50 %?
Pesent your answer as an integer or a reduced fraction. Do not use decimals.
Answer:
150 ounces
Step-by-step explanation:
It is convenient to write an equation for the total amount of alcohol in the mix.
__
Let x represent the amount of pure alcohol added. Then the amount of alcohol in the mix is ...
500(35%) +x(100%) = (500 +x)(50%)
x = 500(15%) +x(50%) . . . . . . . subtract 500(35%)
x(50%) = 500(15%) . . . . . . . . . . subtract x(50%)
x = (500)(15%)/(50%) = 150 . . . . divide by the coefficient of x
150 ounces of pure alcohol should be added to produce the desired solution.
Help please easy question please help please
Answer:
y = 4x - 11
Step-by-step explanation:
Point-Slope Form: [tex](y-y_0)=m(x-x_o)[/tex]
Given information:
y = 4x - 7. Through (3,1)
m = 4.
Thus, using m = 4 and point (3,1) in Point-Slope Form can make another equation that is parallel to y = 4x - 7.
[tex](y-y_0)=m(x-x_o)\\\\(y-(1))=4(x-(3))\\\\y-1=4(x-3)\\\\y-1=4x-12\\\\y=4x-11[/tex]
Hattie has 2 red toys and 3 blue toys. What is the probability she will play with a blue toy?
3/5
3/4
2/5
1/2
Answer:
3/5
Step-by-step explanation:
If she have 2 red toys and 3 blue toys, then she have 5 toys.
She can take one of 3 blue toys from 5 toys (I hope that you know what I mean)
Her chance is 3/5 to take the blue one
Given P(A) = 0.22, P(B) = 0.26, and P(B|A) = 0.26, are A and B independent or dependent?
Answer:
Independent
Step-by-step explanation:
there equal to different things (?)
Hope that was correct :)
I think of a number. If I subtract 9 from it and multiply this difference by 4, the
result is 128.
Answer:
you were thinking of 41
Step-by-step explanation:
(x-9)*4=128
(x-9)=128/4
(x-9)=32
x=32+9
x=41
Answer:
41
Step-by-step explanation:
Let n be the number
Subtract 9
n-9
Multiply this by 4
4(n-9)
The result is 128
4(n-9)=128
To find the number divide each side by 4
4(n-9)/4=128/4
n-9 = 32
Add 9 to each side
n-9+9 = 32+9
n = 41
If you earn $48,000 per year, how much will you receive on a biweekly basis?
$48,000 a year is $1,846.15 biweekly before taxes and approximately $1,384.62 after taxes. Paying a tax rate of around 25% and working full-time at 40 hours a week, you would earn $1,384.62 after taxes. To calculate how much you make biweekly before taxes, you would multiply $23.08 by 40 hours and 2 weeks
Answer:
$48,000 ÷ 26 = $1,846.15
I hope this helps!!
which graph shows the image of the triangle after transforming at using the rule Z (x,y) (x,-y)
Answer:See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Step-by-step explanation:
An art teacher had 2/3 gallons of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?
6 containers have paint in them.
Step-by-step explanation: Firstly we must convert them to similar fractions, so times the denominator of each fraction by the denominator and numerator of the other fraction (the denominator is the bottom number and the numerator is the top number.) So 3 times 1 is 3, 3 times 8 is 24, so the fraction of paint poured into each container changes to 3/24. 8 times 2 is 16, 8 times 3 is 24, so the total amount of paint poured is 16/24, divide the numerator of paint poured by the numerator of paint in each container, so 16 divided by 3, you get 5 remainder 1, the remainder 1 still counts as part of the next container so 6 container have paint in them.
Hope this helps.
In a class of 22 students, 9 are female and 7 have an A in the class. There are 8
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?
Answer:15/22
Step-by-step explanation:
Help please really important!! Will make brainiest
Answer:
This is all I have right now. The ray makes me think about drawing a circle in the middle and somehow using the diameter to find the height of the triangle. It's just weird because we don't know the base and I'm not sure how to find that without at least knowing the height & using pythagorean theorem.
Although it's not much, hopefully this can steer you in the right direction! Maybe you're way smarter than me and know where to take it from here lol Good luck
Solve for an angle in right triangles. Round to the nearest hundredth
Answer:
39.8°
Step-by-step explanation:
Soh Cah Toa
Soh: sine = opposite / hyp
Cah: cos = adj / hyp
Toa: tan = opp / adj
You have 2 sides so you would use tangent
tan θ = 5/6
tan^-1 (5/6)
= 39.8°
Factor y² + 10z - 10y-yz.
A. (z-y)(y-10)
B. (y-z)(y-10)
C. (y-z)(10 - y)
Answer:
Option B, [tex](y - z)(y-10)[/tex]
Step-by-step explanation:
Step 1: Factor out y and -z
[tex]y^2 - 10y - yz + 10z[/tex]
[tex]y(y - 10) - z(y - 10)[/tex]
[tex](y - z)(y-10)[/tex]
Answer: Option B, [tex](y - z)(y-10)[/tex]
Answer:
The answer is B,
(y-z)(y-10)
Step-by-step explanation:
y^(2) + 10z - 10y-yz
Add and subtract the second term to the expression and factor by grouping.
=(y-z)(y-10)
If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)
Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
Conditional probabilityProbability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
Determine P(AUB)
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
Learn more on probability here: https://brainly.com/question/24756209
What is the mean of the data set?
14, 19, 18, 12, 22, 15, 16, 16, 14, 14, 21, 20
15.75
16.00
16.75
19.50
Answer:
16.75
Step-by-step explanation:
The mean of a set of numbers is the sum divided by the number of terms.
Answer:
16.8125 or 16.8
Step-by-step explanation:
My bro needs help asap
Answer:
A and C
Step-by-step explanation:
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ACDE=AOPQ?
Check all that apply.
Q
96
U
A.
B. HA
C. HL
D. AAS
E. LL
F. ASA
SAS
The congruence theorems or postulates that could be given as reasons why ACDE=AOPQ are:
AASHAASAWhat is this congruence theorems about?Note that in the diagram, there has been given one side that is congruent to its other corresponding side and as such, it has remove the option or postulates that needs the HL and SAS sides.
Conclusively, when all three angles are said to be congruent and when they have one side (known as the hypotenuse), one can use the congruence theorems or postulates of AAS, HA and ASA.
Learn more about congruence theorems from
https://brainly.com/question/10609346
#SPJ1
The sum of two consecutive odd integers is 96. what is the product of these integers?
Answer:
47 and 49
Step-by-step explanation:
Answer:
2303
Step-by-step explanation:
Let the smaller of the two odd integers be x.
Then the next odd integer is x + 2.
Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96
Now solving for x we obtain:
2x = 94
x = 47
To find the next value we can subtract 47 from 96, which is 49.
Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.
hope this helps!
The ballfield has a concession stand where they sell snow cones for $0.50 each. The ingredients to make the snow cones costs $9 each day. They usually sell 35 snow cones per day. On Friday, it rained, and they only sold 20 snow cones. How much profit did the concession stand make after expenses that day?
Answer:
$4,86
Step-by-step explanation:
Profit without expenses - $0,50×20 snow cones
=$10
Let's calculate the percentage the seller takes for the ingredients daily
The seller per day makes-$0,50×35 snow cones=$17,5
This means the percent he takes for the ingredients from his/her $17,5 daily is- $9÷$17,5 ×100=51,4%.
NB-the 51,4% is the percentage of money he/she takes from the $17,5 everyday
Therefore if on the raining day he made $10
Then $10×51,4÷100=$5,14
NB-the $5,14 is the money he will take for the ingredients on the raining day
Therefore $10-$5,14=$4,86
Therefore the total profit he made with expenses is $4,86
5.
6.) Mrs. Allison is making a blanket for her horse. She has 16 feet of fabric. Mrs. Allison cut
three pieces of fabric and each piece is 4 feet. How much fabric is left?
What is the area of this figure?
2 yd
8 yd
4 yd
2 yd
7 yd
2 yd
8 yd
17 yd
Answer:you have to multiply all the numbers to find the area
Step-by-step explanation:
to the nearest hundredth how many cm are in 18in? (1 in = 2.54 cm)
Answer:
45.72
Step-by-step explanation:
Since 1 inch is 2.54, you multiply 2.54 by 18 to find 18 inches in centimeters.
the temperature is -7F and drops 15F what is the temperature now
Answer:
I'm really not sure but I think it would be -22F
Step-by-step explanation:
negative 7 minus 15 is negative 22
I need help plslslsls
Answer:
a) Positive
b) 146
Step-by-step explanation:
As the data os going up, it is a positive correlation. For part b, you need to draw a line through the general area of all the points and see how much revenue is made from raincoats.