Answer:
6[tex]m^{2}[/tex]
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism,
B = 1/2 h(b1+b2) since B is the area of the base
[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula
which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base
There are twenty-three apples and seventeen oranges in a fruit basket. How many
more apples are there than oranges?
Answer:
6 apples
Step-by-step explanation:
23 apples - 17 oranges
23 - 17
= 6
6 apples more than oranges
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if a person travels 1/4 miles in 1/6 hour,how fast are they traveling in miles per hour
Answer:
3/2 or 1.5 miles per hour
Step-by-step explanation:
Speed Formula:
[tex]\displaystyle \large{s=\dfrac{d}{t}}[/tex]
speed = distance/time
Given:
Distance = 1/4 milesTime = 1/6 hourTherefore:
[tex]\displaystyle \large{s=\dfrac{\dfrac{1}{4}}{\dfrac{1}{6}}}\\\displaystyle \large{s=\dfrac{1}{4}\cdot 6}\\\displaystyle \large{s=\dfrac{6}{4}}\\\displaystyle \large{s=\dfrac{3}{2} \ \tt{miles/hour}}[/tex]
Therefore, they are traveling 3/2 or 1.5 miles per hour.
Elshaun Works as a painter he charges $25 for each hour he works he also has to buy 100 $ worth of paint if the number of hours worked is represented by H which expression the total amount of money he would charge for his painting work
Answer:
Step-by-step explanation:this is a very hard question
check your solution 1=g-3
Answer:
g = 4
Step-by-step explanation:
1 = g - 3
1 + 3 = g
4 = g
to check:
1 = (4) - 3
1 = 1
correct!
if i have 37 test and i do 12 test a week how many weeks its gonna take
Answer:
4 weeks
Step-by-step explanation:
Answer:
well if i am correct 25 weeks (correct me if i am wrong please lol.)
Step-by-step explanation:
pat needs 14 sticks of pepperoni to make 28 pizzas.How many sticks of pepperoni are needed to make 36 pizzas
Answer:
18 sticks of pepperoni
Step-by-step explanation:
In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.
Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.
[tex]\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}[/tex]
Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)
Solve for x:
4x – 7 = 8x + 33
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
Write 1.38 as a fraction
Answer:
69/50
Step-by-step explanation:
138/100
69/50
A, b, and c are polynomials, where: a = 3x – 4 b = x 7 c = x2 2 what is a2 – (b c) in simplest form? 8x2 – 25x 7 8x2– 25x 11 10x2 – 25x 7 10x2 – 25x 11
The expression A² – (B + C) in its simplest form is 8x² – 25x + 7
What is the polynomial?A polynomial function is an expression constructed with one or more terms of variables with constant exponents.
Data obtained from the question
A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?
The simplest form of the polynomial is given by;
(3x – 4)² – (x + 7 + x² + 2)
9x² – 12x – 12x + 16 – (x + x² + 9)
9x² – 24x + 16 – x – x² – 9
9x² – x² – 24x – x + 16 – 9
8x² – 25x + 7
Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.
Learn more about quadratic equations:
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Answer: A: 8x^2 - 25x + 7
Step-by-step explanation: got it right :)
Can SOMEONE HELP???
65 BRAINLIEST!
Answer: m<CBE = 129°
Step-by-step explanation:
we know that,
m<CBE = (14x + 17)°
m<FEH = (19x -23)°
since L║m,
m<CBE = m<FEH
(14x + 17)° = (19x -23)°
through the above equation we formed, we find the value of x :
14x + 17 = 19x -23
19x - 14x = 17 + 23
5x = 40
x = 40/5
x = 8
now we put the value of x in the m<CBE :
m<CBE = (14x + 17)°
m<CBE = ( 14(8) + 17 )°
m<CBE = ( 112 + 17)°
m<CBE = 129° Answer...
hope that helps...
College Math- Probability (Help appreciated!!!!) (please no links! :) )
A pair of fair dice is rolled. E is the event that the first dice rolls a 3 and F is the event that the sum of the two dice is 6. Are E and F independent events?
Answer:no they are not independent
Step-by-step explanation:
1) in order for events to be independent the probability of E happening should equal the probability of E happening given that F has already happend
2) P(E)=1/6 (on 6 sided die there is only 1 face that has 3 hence probability of e occurring is 1/6) or .167
3) P(E | F) read as probability of E happening given F has occurred
(Probability of E * probability of F) / total number of outcomes in F
probability of F= 1/6 as there is only one face(3) which will make the sum of the 2 die 6
(1/6)(1/6)/6=0.004
P(E)= .1167
P(E| F) =.004
hence probability aren't equal as making F happen impacts E'E's chances
ANOTHER way to think about this is if E rolls a 3 then the only way to make the sum of the 2 dice equal 3 is if die 2 rolls 3 as well. Hence the pprobability Of the second outcome tht sum of 2 die=6 depends on the number the first die lands
Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships
and grants each year, and he will earn $1,900 each year through a work study program.
Jamal's family will contribute $21,000 each year. How much will Jamal need to
contribute?
Jamal's family will contribute $21,000 each year. How much will Jamal need to
contribute?
Type your answer.
3.
1 noint
As a new year's resolution, jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months. listed below are the balances and annual percentage rates for jimmy's credit cards. in order to pay his credit card debt off in the next 12 months, what will jimmy's total minimum credit card payment be?
The percentage shows that the value of Jimmy's total minimum credit card payment will be $411.25.
How to compute the minimum value?From the complete information, the balances and annual percentage rates for Jimmy's credit cards are given.
Therefore, the minimum amount for the credit card will be $411.25. This will be necessary to pay his credit card debt off in the next 12 months.
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ens
00
A painter charges $15.47 per hour, plus an additional amount for the supplies. If he made $158.31 on a job where he worke
5 hours, how much did the supplies cost?
$90.96
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.
In the two fair number cubes, there are total 36 outcomes. In this fair,
Total number of outcome of rolling 6 is 5 (1,5),(2,4),(3,3),(4,2)(5,1)Total number of outcome of rolling 10 is 3 (4,6),(5,5),(6,4).Total number of favorable outcome is,
[tex]5+3=8[/tex]
Thus, the probability of getting these 8 outcomes from 36 outcomes is,
[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]
Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
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The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answer:
35 [$]
Step-by-step explanation:
1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;
2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;
3) using the two above it is possible to make up the system of two equations:
[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]
4) finally, the have together 10+25=35 doll-s.
Jacky and Peter had a total of 70 dolls altogether.
What is an equation?A equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of Jack doll and y represent Peter doll, hence:
x - 15 = y + 15 (1)
Also:
(5/7)(x + y) = x (2)
From both equations:
x = 50, y = 20
x + y = 50 + 20 = 70
Jacky and Peter had a total of 70 dolls altogether.
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Ellen is decorating a ballroom ceiling with garland. If the rectangular ceiling is 48 feet by 64 feet, how much garland will Ellen need to reach from one corner of the ceiling to the opposite corner
can I have some help? I don't understand this
Answer:
15
__
28
Step-by-step explanation:
just multiply top by bottom
5*3 15
___ = ____
7*4 28
Answer:
the answer is 15/28
Step-by-step explanation:
if you multiply the numerators 5 and 3, you get 15. then you have to multiply the denominators 7 and 4 to get 28
An object falls from a window. the distance the object has traveled, d, varies jointly with the acceleration due to gravity and the square of the time elapsed. the object has fallen 5.929 meters in 1.1 seconds, and the acceleration due to gravity is 9.8 meters per second squared. assuming the object continues to fall and the acceleration due to gravity remains the same, what is the total distance the object travels in 2 seconds? 10.8 m 19.6 m 21.6 m 39.2 m
The total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
where the symbols have following meanings:
u = initial velocity of the considered objectv = final velocity of the objecta = acceleration of the objects = distance traveled by the object in 't' time.Here, assuming negligible air resistance, and ideal situations, the free fall of the considered object can be modeled by these equations of motion.
Here, according to sign convention, we have:
[tex]a = -g = -9.8 \: \rm m/s^2[/tex]
Due to free fall, we have: [tex]u = 0[/tex]
Thus, the net displacement (taking the window as origin) is given by equation:
[tex]s = \dfrac{-gt^2}{2}[/tex]
The distance that object traveles in 2 seconds is the absolute displacement it gets in 2 second of freefall.
This is obtained as:
[tex]D_2 =|s|_2 = \left| \dfrac{-9.8 (2)^2}{2} \right| = 19.6 \: \rm m[/tex]
Thus, the total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m
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Need help 10 points
Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. what is the probability he will choose one green marble and then one red marble? express the probabilities in fraction form. p(green) = p(red) = p(green and red) =
Probability of an event measures its chance of occurrence. P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
How to find if two events are independent?Suppose that two events are denoted by A and B.
They are said to be independent event if and only if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
It is because
[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]
and therefore, using chain rule and above facts gives:
[tex]P(A \cap B) = P(A)P(B)[/tex]
The question is missing some informations, which are:
Total marbles in the bag = 14Total red marbles = 5Total green marbles = 2rest of the 7 marbles are of some other colors.The result of first draw and the second draw are independent of each other as Deepak replaces the marble after first draw, therefore, making no changes in the count of balls of each color in the considered bag, which decides the probability needed.
Now, let we take:
A = probability that Deepak picks green ball in first draw
B = probability that Deepak picks red ball in the second draw
Then, we get:
[tex]P(A) =\dfrac{5}{14}\\\\P(B) = \dfrac{2}{14}\\\\P(A \cap B) = P(A)P(B) = \dfrac{5 \times 2}{14^2} = \dfrac{5}{98}[/tex]
(there are 14 ways to select a ball, but 5 favorable ball for event A to occur, and 2 favorable balls for event B to occur,therefore the aforesaid probabilities.)
Thus, for this case, we get:
P(Green in first draw) = 5/14, P(Red in second draw) = 2/14. P(Green in first and red in second draw) = 5/98Learn more about probability here:
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can someone help with this?
Explanation:
The proof can make use of the ASA congruence postulate.
__
Statement . . . . Reason
AB║CD, AD║BC . . . . definition of parallelogram
∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem
ΔACD ≅ ΔCAB . . . . ASA congruence postulate
use a quadratic function to model the area of each function. graph the function. evaluate each function for x = 8
top of square: 2x + 4, side: x +3
(other question)
top: 3x - 9, side: x + 2
HELP
Answer:
A=220 and 150 un^2
Step-by-step explanation:
The area for a square is LxW
you have one square with dimensions 2x+4 by x+3 and another with dimensions 3x-9 by x+2
for your first set: A=LxW= (2x+4)*(x+3)
evaluate at x=8: A= (2(8)+4)*(8+3) = 220
second set: A=LxW = (3x-9)*(x+2)
evaluate at x=8: A= (3(8)-9)*(8+2) = 150
What translation is shown below?
Will mark brainlyest!
Ms. Sampson tells her class to write an equivalent fraction for 1/2. Lucy writes 3/8 and Tim writes 4/8. Wich student is correct? Explain how you know
Answer:
Tom 4/8
Step-by-step explanation:
if you simplify 4/8 it will give u 1/2
The diameter of a circle is 32 cm. Find its area to the nearest whole number.
Answer:
Step-by-step explanation:
radius=1/22 of 32= 16
Area of a circle
22/7×16×16=805cm2
HELP HURRY PLEaSE THIS IS IMPORTANT!
Answer:
LMJ and KJM
Step-by-step explanation:
alternative interior
this means, they're on opposite sides of the line-break, and are inside the parallel lines.
hope this helps.
I need help on this
1. (x+2) (3x-1)
2. The zeros are at x = -2 and x = 1/3
Explanation:
3x² + 5x - 23x² + 6x - x - 23x(x+2) -1(x+2)(x+2) (3x-1)================
zeros are when f(x) = 0
--------------
x + 2 = 0, 3x - 1 = 0x = -2, x = 1/3True or false please help
Explanation:
The number [tex]\pi[/tex] (read out as "pi") is approximately 3.14
So [tex]3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42[/tex]
On the other hand,
[tex]\sqrt{64} = \sqrt{8^2} = 8[/tex]
So we can see that the original claim is false because [tex]3\times \pi \approx 9.42[/tex] is not smaller than [tex]\sqrt{64} = 8[/tex]. It should be the other way around.
Tyler wonders what proportion of students at his school would dye their hair blue if their parents would let them. He surveyed a random sample of 10 students at his school, and 2 of them said they would. Kiran didn’t think Tyler’s estimate was very accurate, so he surveyed a random sample of 100 students, and 17 of them said they would.
Based on Tyler's sample, estimate what proportion of the students would dye their hair blue.______
Based on Kiran's sample, estimate what proportion of the students would dye their hair blue.______
Whose estimate is more accurate? Type Tyler or Kiran.______
Using the proportion concept, it is found that:
According to Tyler's sample, the estimate is of 0.2 = 20%.According to Kyran's sample, the estimate is of 0.17 = 17%.Due to the higher sample size, Kyran's estimate is more accurate.What is a proportion?A proportion is a fraction of a total amount, and larger sample sizes lead to more accurate predictions.
In Tyler's sample, 2 out of 10 students would dye their hair blue, hence:
p = 2/10 = 0.2.
In Kiran's sample, 17 out of 100 would, hence:
p = 17/100 = 0.17.
Due to the higher sample size, as 100 > 20, Kyran's estimate is more accurate.
More can be learned about proportions at https://brainly.com/question/24372153