Answer:
Joe scored higher by 1600
Step-by-step explanation:
Given
[tex]Simon = 4 * 10^2[/tex]
[tex]Joe = 2 * 10^3[/tex]
Solving (a): Which is higher?
First, we need to convert both numbers to whole numbers
[tex]Simon = 4 * 100[/tex]
[tex]Simon = 400[/tex]
[tex]Joe = 2 * 10^3[/tex]
[tex]Joe = 2 * 1000[/tex]
[tex]Joe = 2000[/tex]
2000 is greater than 400;
Hence, Joe score higher
Solving (b): By how much?
We simply calculate the difference
[tex]Difference = Joe - Simon[/tex]
[tex]Difference = 2000 - 400[/tex]
[tex]Difference = 1600[/tex]
Which point represents the opposite of –2?
A number line going from negative 5 to positive 5. Point A is at negative 2, point B is between negative 1 and 0, point C is between 0 and 1, and point D is at 2.
A
B
C
D
Answer:
Point D
Point D is at 2, the absolute value of -2.
2 is the opposite of -2, and D is at 2.
So, the answer must be option D.
Hope this helps!
Answer:
d
Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.
Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?
Step-by-step explanation:
Let the initial population of a community be P0 and the population after time t is P(t).
If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:
[tex]P(t) = P_0e^{kt}[/tex]
at t = 5 years, P(t) = 2P0
substitute:
[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]
If the population is 9,000 after 3 years
at t = 3, P(t) = 9000
a) Substitute into the formula to get P0
[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]
Hence the initial population is approximately 5938.
b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:
[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]
Hence the population of the community after 10 years is approximately 23,746
What is m<KNL?
Enter your answer in the box
The measurement of ∠KNL is 102°
First, you must set up an equation to find x.
[tex]5x+2=[3(x+14)[/tex]
Then, you must simplify both sides of the equation.
[tex]5x+2=3x+42[/tex]
Next, subtract 3x on both sides.
[tex]2x+2=42[/tex]
Then, subtract 2 on each side.
[tex]2x=40[/tex]
Next, divide 2 on each side.
[tex]x=20[/tex]
Now that we have the value of x, we can substitute it in for angle KNL.
[tex][3(20+14)][/tex]
[tex][3(34)][/tex]
[tex]102[/tex]
[tex]102[/tex]°
write an equivalent fraction of 4/5 with the denominater 25
Answer:
20/25
Step-by-step explanation:
to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25
Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)
2x + 7 = 13
Please help
Answer:
x=3
Step-by-step explanation:
Hope this helps u..
Does anyone stan Twice??
Answer:
This is literally me.
Step-by-step explanation:
what are the steps we should follow to solve and equation
ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n
2x+y=0
2x+y=6
x-2y=-10
x-2y=8
Answer:
y=-2x+b
-2=-8+b
6=b
y=-2x+6
so
2x+y=6
A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.
Answer:
1040
Step-by-step explanation:
Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)
Answer:
slope is 4/3 and y intercept is -7
Step-by-step explanation:
3y+21=4x.........now subtract 21 from each side
3y=4x-21......now divide all terms by 3
y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7
Answer:
B (-3,8)
Step-by-step explanation:
awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21
awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.
Best apologies if incorrect
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
Answer:
Hypothesis
Step-by-step explanation:
a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.
hope this helps
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not yellow.
Compute the probability that a randomly selected peanut M&M is brown or red.
Compute the probability that three randomly selected peanut M&M’s are all brown.
If you randomly select three peanut M&M’s, compute that probability that none of them are blue.
If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
P(brown) = 12% = 0.12
P(Yellow) = 15% = 0.15
P(Red) = 12% = 0.12
P(blue) = 23% = 0.23
P(orange) = 23% = 0.23
P(green) = 15% = 0.15
A.) Compute the probability that a randomly selected peanut M&M is not yellow.
P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85
B.) Compute the probability that a randomly selected peanut M&M is brown or red.
P(Brown) or P(Red) :
0.12 + 0.12 = 0.24
C.) Compute the probability that three randomly selected peanut M&M’s are all brown.
P(brown) * P(brown) * P(brown)
0.12 * 0.12 * 0.12 =0.001728
D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.
P(3 blue)' = 1 - P(3 blue)
P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167
1 - P(3 blue) = 1 - 0.012167 = 0.987833
If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.
P(1 blue) + p(2 blue) + p(3 blue)
(0.23) + (0.23*0.23) + (0.23*0.23*0.23)
0.23 + 0.0529 + 0.012167
= 0.295067
Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients to make 20 glasses of lemonade. How much should he charge for one glass of lemonade to cover his expenses and make $10 in profit?
Round to the nearest cent.
Timed test
Answer:
profit = revenue - cost
10 = 20x - (4.5 + 2.5)
10 = 20x - 7
10 + 7 = 20x
17 = 20x
17/20 = x
0.85 = x
check...
profit = revenue - cost
10 = 20(0.85) - 7
10 = 17 - 7
10 = 10 (correct)
so he would have to sell each cup at 0.85 ccents to make a profit of $ 10
Step-by-step explanation:
Answer:
I cant find the next one hehrh
PLEASE ANSWER ASAP I ONLY HAVE 30 MINUTES please
Convert 2 days into months. Round your answer to the nearest hundredth.
Answer:
0.0657534
Step-by-step explanation:
divide 2 by 30.417
Please help ASAP this is timed
Answer:
the answer is 30 with 75 kids voting for drinks in total
Answer:
30 students
Step-by-step explanation:
45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
Number 2 : How old is Geraldo?
Find area of the figure :)
768 square meters.
We can break it down into two shapes, a rectangle and a triangle.
Rectangle:
[tex]a = b \times h[/tex]
[tex]a = (48) \times (11)[/tex]
[tex]a = 528m^{2} [/tex]
Triangle:
[tex]a = \frac{b \times h}{2} [/tex]
[tex]a = \frac{(48) \times (10)}{2} [/tex]
[tex]a = \frac{480}{2} [/tex]
[tex]a = 240m^{2} [/tex]
Add them together:
[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]
Divide and check your answer. 6/938
a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can
Answer:
16 pizzas.
Step-by-step explanation:
That is 4 divided by 1/4
= 4 * 4/1
= 16.
Answer:
16
Step-by-step explanation:
There are 4 pizzas per can and you have 4 cans.
4 x 4 = 16
Martha earns $24 in four hours. How much would she
earn in 10 hours?
Answer:
$60
Step-by-step explanation:
24/4=6
6*10=60
Answer:
$60
Step-by-step explanation:
24 ÷ 4 = 6
6 × 10 = 24
she makes $6 an hour. $60 in ten hours.
7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32
the Answear is B,D,A,C
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
Plz help i only need c im confused lol 6th grade history
Answer:
War
Step-by-step explanation:
Criminals
Kent earns $12.75 per hour at his part time job. Kent worked 18 hours last week. This week he spent 1/3 of his money on car repairs. How much did the repairs cost?
ANSWERS TO THE WHOLE QUIZ:
1. 13.23
2. 1/2
3. 0.25
4. 31.16
5. 76.50
Your Welcome and have a great day!
( I had to fail the quiz to give the answers)
I need help with this ASAP !! I’m failing !!!
Answer:
c=130,b=50
Step-by-step explanation:
[tex]c = 180 - 50 = 130[/tex]
[tex]b = 180 - 130 = 50[/tex]
i think this is the answer
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<b and 50° are vertical angles so that means they are congruent. So that means <b is 50.
<c and 50° are supplementary angles which means when you add them you should get 180. So if do 180 - 50 we will get 130. So that means <c is 130°.
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed