Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:
[tex]t_1 = \frac{90}{40} = 2.25[/tex]
She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:
[tex]t = \frac{120}{43} = 2.79[/tex]
Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:
[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]
Her average speed for the final 30 miles is of 55.56 mph.
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A spinner has 4 equally sized sectors that are numbered 3, 3, 4 and 6. The spinner is spun twice and the sum of the outcomes is found.
A fair decision is to be made about which one of 4 vacation destinations will be planned, using the sum of the outcomes.
The vacation destination options are New Mexico, Alaska, Puerto Rico and London.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 6, the vacation destination will be London. If the sum is 8, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 7, 10 or 12, the vacation destination will be Puerto Rico.
If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 10, the vacation destination will be New Mexico. If the sum is 8, 9 or 12, the vacation destination will be Puerto Rico.
If the sum is 6, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
If the sum is 10, the vacation destination will be London. If the sum is 7, the vacation destination will be Alaska. If the sum is 9, the vacation destination will be New Mexico. If the sum is 6, 8 or 12, the vacation destination will be Puerto Rico.
Answer:
If the sum is 6, the vacation destination will be London.
If the sum is 7, the vacation destination will be Alaska.
If the sum is 9, the vacation destination will be New Mexico.
If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
Step-by-step explanation:
Create a sample space for the 2 spins (see attached).
From the sample space, the probabilities are:
P(sum is 6) = 4/16P(sum is 7) = 4/16P(sum is 8) = 1/16P(sum is 9) = 4/16P(sum is 10) = 2/16P(sum is 12) = 1/16Therefore, to make a fair decision:
As the sum of 6, 7 and 9 each have equal probabilities (4/16), they should each be attritbuted to one destination.
As the sum of 8, 10 and 12 combined equal the same probability as the sum of 6, 7, and 9 individually, the sum of 8, 10 and 12 should be assigned to one destination combined.
Solution
If the sum is 6, the vacation destination will be London.
If the sum is 7, the vacation destination will be Alaska.
If the sum is 9, the vacation destination will be New Mexico.
If the sum is 8, 10 or 12, the vacation destination will be Puerto Rico.
A frog wants to cross a stream. The stream is two metres wide. On every jump, Frog covers one-third metre distance. In how many jumps will Frog reach from rock A to rock B?
1/3 of 2 meters = 66.668 x 3 = 200.004
In a company, 85% of the workers are women. If 390 people work for the company who aren't women, how many workers are there in all?
Answer:
2210
Step-by-step explanation:
390 =15%
390*3 = 130=5%
130*17=2210
At the beginning of the year, Cassandra talks to her cousin about a $1000 loan which she will repay after she graduates from college. On December 31st, her cousin will add 12% interest to the balance of the loan outstanding. If Cassandra makes no payments on the loan until she graduates, which equation shows the loan balance b after n years?
Using an exponential function, it is found that the loan balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that:
She took a $1,000 loan, hence A(0) = 1000.The interest rate is of r = 0.12.Hence the balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
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Li has to read four books from a list of 10 books. how many sets of four books can be made?
Answer:
2 sets
Step-by-step explanation:
we have to divide 4 into 10...
so 10 books / 4 groups equals 2 with a remainder of 2. each set needs to have exactly 4 books... so there would be 2 sets.
Answer:
its 7 not 2
Step-by-step explanation:
because
im right
Please help me thanks!!!!!!!
Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
You are in charge of purchasing breakfast for an upcoming service activity involving about 50 people.
You have the choice to pick one of the following food items:
donuts ($0.30/each)
muffins ($0.50/each)
bagels ($0.40/each)
You have the choice to pick one of the following drinks:
individual cartons of milk or chocolate milk ($0.50/each)
individual bottles of orange juice or apple juice ($0.75/each)
You must stay within a budget of $100.
Write the following in your notebook.
What food item did you choose? What drink did you choose? Why?
Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.
Solve the inequality for y (slope-intercept form). Interpret the slope in context of the drinks and food items that are being purchased.
Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down? What does the shaded region represent?
What are the x and y-intercepts? Explain what these would represent in this situation.
What are the domain and range in this problem? Explain why you would or would not use the minimum and maximum values of the domain and range. How are the domain and range in the context of this problem different from the domain and range of any linear equation? What are the limits?
The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.
The items chosenThe items selected here could be any of the listed drinks and food items.
To solve this question, we use the following selection:
Muffins ($0.50/each) -- xindividual cartons of milk or chocolate milk ($0.50/each) -- yBudget of $100The inequality of the cost of itemsIn this case, we use the less than or equal to inequality.
So, we have:
0.5x + 0.5y ≤ 100
Solve the inequality for y (slope-intercept form).In (b), we have:
0.5x + 0.5y ≤ 100
Subtract 0.5x from both sides
0.5y ≤ -0.5x + 100
Divide through by 0.5
y ≤ -x + 200
This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.
The graph of the inequalitySee attachment for the graph of the inequality
The features of the graph include
Straight and solid lineIt is shaded downThe shaded region represents the acceptable solutionsWhat are the x and y-intercepts?From the attached graph, we have:
x-intercept = 200y-intercept = 200This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item
What are the domain and range in this problem?These are the acceptable x and y values of the graph.
From the attached graph, we have:
Domain: 0 ≤ x ≤ 200Range: 0 ≤ y ≤ 200The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200
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Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer
Answer:
$290
Step-by-step explanation:
3x50=$150
6x30=$180
180+150=$330
330-40=$290
Question 7(Multiple Choice Worth 1 points)
(07.05 MC)
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
The function best represents the given graph will be f(x) = (x + 3)(x − 3)(x - 1)
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given that:-
A graph of a cubic polynomial that falls to the left and rises to the right with x-intercepts negative 3, negative 1, and 3.The polynomial for the given points will be written as:-
f(x) = (x + 3)(x − 3)(x - 1)
The coordinate is -3 so it will be written as (x+3) similarly 1, and 3 will be written as (x-3) and (x-1) .
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Which sets of ordered pairs represent a function? Select all that apply.
A. (1,1), (1,2), (1,3), (1.4)
B. (1,1), (2,2), (3,3), (4,4)
C. (1,1), (2,1), (3,1), (4,1)
D. (1,4), (2,4), (1,3), (2,3)
E. (1,4), (2,2), (3,1), (4,3)
Answer:
B, C, and E
Step-by-step explanation:
In order for a function to be a function, an ordered pair cannot be on the same x coordinate
Sandra plotted the point whose ordered pair is (-4, 6). Which point did Sandra plot?
Point D
Point A
-10 6
Point B
Point C
Answer:
POINT A
Step-by-step explanation:
it is 4 units to the left and 6 units up of the origin
5.
—-
help please
—
math geniuses pls help!!!
pls check other questions too!
Answer:
The mean is greater than median
Step-by-step explanation:
Option D
The width of a rectangle is 2x + 2. The length of a rectangle is 3x + 3. What is
the area of the rectangle?
A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake.
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.
Answer:
C)
Step-by-step explanation:
It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.
And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.
That leaves C) with the only plausible answer.
Help me please help me
Answer:
g= 8/21
Step-by-step explanation:
[tex]g=\frac{5}{7} -\frac{1}{3} \\g=\frac{15}{21} -\frac{7}{21} \\g=\frac{8}{21}[/tex]
Please help! lol and thanks to whoever helps
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ h=1.8\\ L=4.2\\ V=26.46 \end{cases}\implies \begin{array}{llll} 26.46=(4.2)w(1.8)\implies 26.46=7.56w \\\\\\ \cfrac{26.46}{7.56}=w\implies 3.5=w \end{array}[/tex]
5) Amber picked fruits from her family's fruit trees and put them into baskets. She put 10 apples into each of 4 baskets, 10 oranges into each of 3 baskets, and 12 peaches into each of 5 baskets. How much fruit did she pick in all?
Total apples.
10(4)40Total oranges
10(3)30Total peaches
12(5)60Total fruits
60+40+30130Answer:
130
Step-by-step explanation:
We have given in the question 'she put 10 apples into each of 4 baskets.
Into = Multiplywe have to Multiply 10 with 4
=> 10 × 4
=> 40 Apples
Similarly, in the case of oranges we have to Multiply 10 with 3
=> 10 × 3
=> 30 Oranges
Same method will be followed to find the number of peaches that she picked .
=> 12 × 5
=> 60 Peaches
Total fruits Amber picked = Number of apples + Number of oranges + Number of peaches
=> Total fruits = 40 + 30 + 60
=> Total Fruits = 130 .
How is the graph of y=(x-1)2-3 transformed to produce the graph of y=3(x+4)2?
1
O The graph is translated left 5 units, compressed vertically by a factor of 2, and translated up 3
O The graph is stretched vertically by a factor of 2, translated left 5 units, and translated up 3 un
O The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated d
O The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated dow
a
Answer:
Option 2
Step-by-step explanation:
Let the original graph be f(x) and new graph g(x).
f(x) = (x - 1)² - 3g(x) = 2(x + 4)²The transformations are :
The graph is translated left 5 units.The graph is translated up 3 units.The graph is stretched vertically by a factor of 2.ANSWER QUICK, FIRST ANSWER GETS BRAINLIEST! What is the interquartile range of this data set?
Enter your answer in the box.
Answer:
13
Step-by-step explanation:
13 will go inside this box
Answer:
13
Step-by-step explanation:
Finding Upper Quartile (Q₃)
31, 40, 41, 4940 + 41 / 2Q₃ = 40.5Finding Lower Quartile (Q₁)
20, 25, 30, 3025 + 30 / 2Q₁ = 27.5Interquartile Range = Q₃ - Q₁
40.5 - 27.513Rita has a credit card that gives a 6% discount on every purchase. The annual percentage rate on the card is 15%. She is purchasing a digital camera for $300. If she purchases the camera and only pays $80 on the first month’s bill, how much will she need to pay off the balance the following month? $199. 47 $204. 53 $220. 00 $222. 75.
Answer:
The answer would be 204.53Step-by-step explanation:
I'm taking the test5. 7/8 = 2/48
O
A. 42
O B. 1
O C. 13
OD. 6
Answer: A. 42
7/8 = ?/48
8 * 6 = 48
7 * 6 = 42
? = 42
Compare 2 similar cones...
Answer:
3:1.
Step-by-step explanation:
21:7
= 3:1.
6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?
Mr. Plati's class has 3 1/2 quarts of paint. They use 2/3 of the paint for the mural.
How many quarts of paint did the class use for the mural?
Answer:
2.32
Step-by-step explanation:
Boyle's Law says that the volume of a gas varies Inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 290 kPa (kilopascals).
What is the pressure when the volume is 5 L?
The volume of a water walking ball is $\frac{4}{3}\pi$
cubic meters. Find the diameter of
the water walking ball.
A photo shows a small boy inside a water walking ball in a pool.
The diameter is
meters.
If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a water walking ball (in cubic meters) is given below.
[tex]\rightarrow\dfrac{4}{3}\pi[/tex]
Then the diameter of the sphere will be
We know the volume of the sphere is given as
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
where r is the radius of the ball.
Then the radius of the ball will be
[tex]\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m[/tex]
Then the diameter of the ball will be
d = 2r
d = 2 × 1
d = 2 m
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Given the quantity of 3 x squared plus x minus 4, all over x minus 1, what are the domain and range? domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal 1 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal negative 1 domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal negative 7 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal 7
The domain of the expression is a real number except 1 and the range of the expression is also a real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The expression is given below.
(3x² + x - 4) / (x - 1)
The expression can be written as
(3x² + 4x - 3x - 4) / (x - 1)
[(3x + 4)(x - 1)] / (x - 1)
3x + 4
The domain of the expression is a real number except 1 and the range of the expression is also a real number.
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A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?
Answer:
6
Step-by-step explanation:
Find the predicted y value when x=1:
[tex]\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5[/tex]
Find the residual:
[tex]\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6[/tex]
Because our residual is positive, this is an indicator that our predicted y value is too low.
simultaneous equations please someone help me
2x +5y = -10 2x -y =8
Answer:
there is the answer to your question
Brendon walsh wants to borrow $50,000 from the bank. the interest rate is 6% and the term is for 5 years.
what is the monthly payment amount?
o $3,000
o $10,600
o $600
$883.33
Brendon has to pay $1083.33 as monthly payment.
What is Interest ?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.
This percentage is known as the interest rate on the loan.
Brendon walsh wants to borrow $50,000
P = $50,000
The interest rate is 6%
and the term is for 5 years
S.I. = (P*R*T)/100 = (50000*6*5)/100 = 15,000
AMOUNT = 50000+15000
Amount = $65000
This amount has to be paid in 5 years , Therefore
65000/5=13000
monthly 13000/12 = $1083.33
Brendon has to pay $1083.33 as monthly payment.
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