Answer:
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Step-by-step explanation:
Each person is
expected to drink one can of soda.
Let p=price of each soda
q=number of people in the picnic
Total cost of soda=price of each soda × Total people attending the picnic
Total cost of soda=p×q
Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda.
Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas
A. Max is incorrect because he calculated the cost of one can of soda
B. Diego is incorrect because he calculated the price of one can of soda
C. Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Factor x^4+xy^3+x^3+y^3 completely showing work.
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x^4+xy^3+x^3+y^3\\\\=x^3*x+x*y^3+x^3+y^3\\\\=x(x^3+y^3)+x^3+y^3\\\\\boxed{=(x+1)(x^3+y^3)}\\[/tex]
Thank you
Given the following venn diagram, choose the correct set for M
Answer:
M contains 3,4,7,9
M bar is 2 ,5 ,6 ,8
Step-by-step explanation:
The set for M is what is in the circle labeled M
M contains 3,4,7,9
The question in the picture asks for M bar which is what is not contained in M
M bar is 2 ,5 ,6 ,8
Gene is playing a game with a bag of marbles. 3 of the marbles are blue, 4 are green, and 7 are yellow. See below for awarded prizes. $2 green $0.5 yellow $4 blue What is the expected cost (or payout for Gene's game?
Answer:
$23.5Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
Hence Gene expected cost will be $21.5
Mia’s average driving speed is 6 kilometers per hour faster than Kirk’s. In the same length of time it takes Mia to drive 558 kilometers, Kirk drives only 522 kilometers. What is Mia’s average speed?
Answer:
93km/hr
Step-by-step explanation:
Using the formula Speed = Distance/Time. From the formula we can substitute for time as shown;
Time = Distance/Speed
Let the distance and speed travelled by Mia be Dm ans Ds respectively
Distance travelled by Kirk be Km and and Ks respective.
Time taken be Mia to travel Tm = Dm/Sm
Time taken be Kirk to travel Tk = Dk/Sk
Since it takes the same length of time for both of them to travel, then Tm = Tk. Hence Dm/Sm = Dk/Sk
Given parameters
Dm = 558 kilometers
Dk = 522 kilometres
If Mia’s average driving speed is 6 kilometers per hour faster than Kirk’s, then Mia's driving speed Sm = 6 + Sk
Required
Mia’s average speed (Sm)
Since Dm/Sm = Dk/Sk
Substituting the given values to get Sk first we have;
558/6+Sk = 522/Sk
Cross multiply
558Sk = 522(6+Sk)
open the parenthesis
558Sk = 3132 + 522SK
558Sk-522Sk = 3312
36Sk =3132
Sk = 3132/36
Sk =87km/hr
SInce Sm = 6+Sk
Sm = 6+87
Sm = 93km/hr
Hence Mia's average speed is 93km/hr
WILL CHOOSE BRAINLIEST Let Events A & B be described as follows: P(A) = watching a movie P(B) = going out to dinner The probability that a person will watch a movie is 62% and the probability of going out to dinner is 46%. The probability of watching a movie and going out to dinner is 28.52% Are watching a movie and going out to dinner independent events? Group of answer choices No, because the P(A)P(B) ≠ P(A and B). Yes, because the P(A)P(B) = P(A and B). No, because the P(A) + P(B) ≠ P(A and B). Yes, because the P(A) + P(B) is greater than 100%.
Answer:
Yes, because the P(A)P(B) = P(A and B)
Step-by-step explanation:
Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;
P(A and) = P(A)P(B)
Given: P(A) = watching a movie = 62% = 0.62
P(B) = going out to dinner = 46% = 0.46
The probability of watching a movie and going out to dinner will be
P(A and B)
P(A and B) = 0.62×0.46
P(A and B) = 0.2852
P(A and B) = 28.52%
Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.
. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a discount of 0.2% on the maize sold. This discount was deducted from his commission. (a) Calculate (i) The discount allowed
Answer:
The discount allowed per bag is kshs 4
while the discount allowed on all the 300 bags is kshs 1,200
Step-by-step explanation:
Here, we are interested in calculating the discount allowed on the sales of the bag of maize.
From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.
Now, to find the amount of this, we proceed as follows;
What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.
The discount on each bag of maize would be;
0.2% of kshs 2000
That would be;
0.2/100 * 2,000 = 400/100 = kshs 4
Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200
NASA is painting the nose cone of a sounding rocket with a special sealant which reduces the air-drag on the rocket. If they need to do two coats of the sealant, how many square feet are they painting? Use π = 3.14.
Answer:
The formula for the lateral surface area (LSA) of a right cone is:
LSA = π x r x l
where: r as radius, and l as the slant height of the cone
If NASA need to do two coats of the sealant, the number of square feet that they are painting is: 2 x LSA = 2 x π x r x l
Step-by-step explanation:
Answer:
56.5 ft^2
Step-by-step explanation:
After you calulate the the surface area and double it, subtract the area of the circle.
in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league
Addition can be defined as the process of adding two numbers. The total number of games played in the league is 90.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that in a 10-team league, each team play every other team exactly twice. Therefore, the total number of games that will be played by the first team is 18, similarly, the number of games that will be played by the second team is 16.
Therefore, as mentioned above the series will continue with a common difference of -2 and will continue till 0. Thus, the total number of games played in the league is,
Total number of games = 18 + 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 = 90
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ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m?
Answer:
m = 30 + 15
Step-by-step explanation:
The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:
m = 30 + 15
m = 45 miles
At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
Round the distance to the nearest meter.
Answer:
113 meters
Step-by-step explanation:
113.47 rounded to the nearest meter is 113.
The distance of frisbee to the nearest meter will be equal to 113 meters.
What is a round of numbers?An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.
A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.
The distance to the nearest meter will be given as below:-
113.47 meters. = 113 meters.
Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.
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WILL GIVE BRAINLY PLEASE HELP!!!!!!!
Describe the type of correlation between two variables on the scatterplot. How do you know? Does the correlation between the variables imply causation? Explain
contains points:
(0.7,1.11)
(21.9,3.69)
(18,4)
(16.7,3.21)
(18,3.7)
(13.8,1.42)
(18,4)
(13.8,1.42)
(15.5,3.92)
(16.7,3.21)
Answer:
r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation
Step-by-step explanation:
The data points are;
X, Y
0.7, 1.11
21.9, 3.69
18, 4
16.7, 3.21
18, 3.7
13.8, 1.42
18, 4
13.8, 1.42
15.5, 3.92
16.7, 3.21
The correlation between the values is given by the relation
Y = b·X + a
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
Where;
N = 10
∑XY = 499.354
∑X = 153.1
∑Y = 29.68
∑Y² = 100.546
∑X² = 2631.01
(∑ X)² = 23439.6
(∑ Y)² = 880.902
From which we have;
[tex]b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566[/tex]
[tex]a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704[/tex]
[tex]r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}[/tex]
[tex]r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518[/tex]
r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.
please help me
Expand ( p + 6 )( p - 3 )
Answer:
(p^2) + 3p - 18
Step-by-step explanation:
Have a nice day!
Answer:
2p+3
Step-by-step explanation:
(p+6)(p-3)
you have to open the brackets i.e
p+p+6-3
add p+p and you get 2p then you subtract positive 6 from 3 and you get 3
so your answer will be 2p+3
7 kids on the basketball team return sick from a weekend playing games at Lakenheath High school with a virus. The aggressive virus spreads at 130% each day. How long many days till 500 students are sick at school?
Answer:
It would take 6 days for 500 students to be affected.
Step-by-step explanation:
Given that:
1. Seven kids returned with the virus.
2. The aggressive virus spreads at 130% each day.
We want to find how many days until 500 students are infected by the virus.
First day:
7 students have the virus, 130% of 7 student will contract the virus again.
130% of 7 = (130/100) × 7
= 1.3 × 7 = 9.1 ≈ 9
9 new students are affected
New total affected = 7 + 9 = 16 students.
Day 2:
Affected = 1.3 × 16 = 20.8 ≈ 20
New total affected = 20 + 16 = 36
Day3
Affected = 1.3 × 36 = 46.8 ≈ 46
New total affected = 36 + 46 = 82
Day4
Affected = 1.3 × 82 = 106.6 ≈ 106
New total affected = 106 + 82 = 188
Day5
Affected = 1.3 × 188 = 244.4 ≈ 244
New total affected = 244 + 188 = 432
Day6
Affected = 1.3 × 432 = 561.6 ≈ 561
New total affected = 561 + 432 = 993
Therefore, it would take 6 days for 500 students to be affected.
WILL GIVE BRAINLIEST
Question 8(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct product of (6x − 2)(6x + 2). A.36x2 + 4 B.36x2 − 24x + 4 C. 36x2 + 24x + 4 D. 36x2 − 4
Answer:
D) 36x²-4
Step-by-step explanation:
36x²+12x-12x-4
36x²-4
[tex](6x - 2)(6x + 2) \\ = {(6x)}^{2} - {(2)}^{2} \\ = {36x}^{2} - 4[/tex]
Answer:
D.
[tex] {36x}^{2} - 4[/tex]
Hope you could understand.
If you have any query, feel free to ask.
Sakura solved a fraction division problem using the rule "multiply by the reciprocal." Look at her work. 7 ÷ 2/ 5 1/ 7 × 2/ 5 = 2/35 Did she solve the problem correctly?
Answer:
D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Step-by-step explanation:
A. Yes. She solved the problem correctly.
B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.
C. No. She multiplied the denominators instead of finding a common denominator.
D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Her workings
7 ÷ 2/ 5
=1/ 7 × 2/ 5
= 2/35
Dividend=7
Divisor=2/5
The correct working
7 ÷ 2/ 5
=7 × 5/2
=35/2
Answer:
D
Step-by-step explanation:
I got an 100% on the quiz I took with this question :)
Hope I could help good luck on passing!!
Xian and his cousin Kai both collected stamps. Xian has 56 stamps, and Kai has 80 stamps. They boys recently joined different stamp-collecting clubs. Xian’s club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. after how many months will Xian and Kai have the same number of stamps? How many stamps will each have?
Answer:
After 4 months Xian will have 104 stamps,
But after three months Kai will also have 104 stamps
Step-by-step explanation:
Study the samples below to answer questions
26 and 27.
pls brainiest
Answer:
1 st pattern 48+122 = 170
2 nd pattern 8½+3½ = 5
so, 3rd pattern 41+13= 54 (B)
41+13=54 this is the ans
which of the following could be the value of |x-3|+4 for some value of x? A) -2 B) 1 C) 3 D) 5
Answer:
5
Step-by-step explanation:
|x-3|+4
The minimum value that an absolute value can take is zero
0+4
4
The smallest value is 4
The answer must be 4 or greater
The only answer that is possible is 5
thing
Fill in the blank with the correct response.
The slope of the graph of y= 5x is
ao
Answer:
slope is 5
Step-by-step explanation:
y = 5x
This is in the form
y = mx+b where m is the slope and b is the y intercept
The slope is 5 and the y intercept is 0
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50.
Answer:
2.75+11.50S[tex]\leq[/tex]55
4
Step-by-step explanation:
The Total amount of money Alonso went to the market with is: = $55
Items to be bought includes:
eggssugarAlonso knows that:
A pack of 12 eggs costs = $2.75 Now, he wants to use the remaining amount to purchase as much sugar as possibleRequirement for his taste for sugar:
a box of sugar he likes = $11.50From this information, the objective would be to determine the number of sugar he can purchase with the money left after he has already bought the eggs.
To start with, the amount of money left after buying the eggs is:
= $55 - $2.75
= $52.25
Now, if a box of sugar he likes cost = $11.50
Then he will be able to purchase (x( bost of sugar with = $52.50
Now, to determine the number of boxes of sugar he can purchase, we have:
1 box of sugar = $11.50
x(box) of sugar = $52.25
∴
[tex]\mathbf{x (box) of sugar = \dfrac{\$52.25 \times 1 box of sugar }{\$11.50}}[/tex]
x = 4.5 box of sugar
Therefore, after buying a pack of 12 eggs for = $2.75, Alonso will be able to buy [tex]\mathbf{ 4\dfrac{1}{2}}[/tex] or 4.5 boxes of sugar.
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What is the difference between sin^-1 and sin?
Answer:
Step-by-step explanation:
sin of angle x is the trig ratio sine of x.
sin-1 x is the angle whose sine is x.
sin-1 x can also be written as arcsin x.
The graphic below shows a protractor, which is used to measure angles. What is the level of accuracy of this measurement tool? its a projractor
Step-by-step explanation:
A protractor is a handheld to use in measuring angles. It is most cases made up of plastic or glass materials, and can accurately measure angles of circles up to 180°.
However, when measuring straight lengths, a ruler or tape has better measuring accuracy than the protector.
What is the y-intercept of the line that passes through the points (2, 5) and (3, 6)?
Answer:
(0, 3)
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Plug in the points:
(6 - 5) / (3 - 2)
1/1 = 1
Now, we can plug in the slope and a point into the equation y = mx + b to find b (y-intercept)
y = 1x + b
5 = (1)(2) + b
5 = 2 + b
3 = b
= (0, 3)
what is 0.7619047619 as a fraction?
Answer:
7619047619
10000000000
Step-by-step explanation:
Yeah big numbers:
To write 0.7619047619 as a fraction you have to write 0.7619047619 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.7619047619 = 0.7619047619/1 =
7.619047619/10 = 76.19047619/100 =
761.9047619/1000 = 7619.047619/10000 =
76190.47619/100000 = 761904.7619/1000000 =
7619047.619/10000000 = 76190476.19/100000000 = 761904761.9/1000000000 = 7619047619/10000000000
Hope this helps, have a good day :)
(brainliest would be appreciated?)
please helppp ill give brainliest the question is attached below
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
What ratio of 25 dextrose and 10% dextrose should be mixed to make a 20% Dextrose? Comments for What Ratio of 25% Dextrose and 10% Dextrose to make 20% Dextrose? 10 parts 25% and 5 parts 10% solution equals 20% mixture.
Answer:
10:5 OR 2:1
Step-by-step explanation:
Let x be the parts of 25% dextrose and
y be the parts of 10% dextrose are mixed so that
20% dextrose mixture is obtained.
amount of dextrose in the mixture will be 20% of (x+y).
We have to find the value of [tex]\frac{x}y \ OR\ x:y[/tex]
Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.
[tex]\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}[/tex]
So, the answer is 10:5 or 2:1.
Answer:
4.90% is approximately the new Dextrose concentration.
Explanation:
Volume by Volume percent is given by ;
Volume percentage of dextrose solution = 5%
In 100 mL of solution 5 ml of dextrose is present.
Now, volume sterile water added was equal to the 40% of volume of dextrose volume.
So, volume of the sterile water added =
Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL
New concentration of dextrose will be;
4.90% is approximately the new Dextrose concentration.
Step-by-step explanation:
Jasmine is having friends over to watch a football game. She has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. How much time does Jasmine spend preparing snacks?
Answer:
1 Hour and 30 Minutes
OR
1 1/2 Hours
Step-by-step explanation:
Convert 2 1/2 hours to minutes.
That is 150
Multiply 2/5 with 150.
Subtract that from 150.
It gives 120 minutes.
Convert that back to Hours.
You get 1 Hour and 30 Minutes or 1 1/2 Hours.
A fraction is a way to describe a part of a whole. The time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that Jasmine has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. Therefore, the time spent on preparing snacks is,
Time spent on preparing for snacks = 2 1/2 - 2/5
= 5/2 - 2/5
= 2.5 - 0.4
= 2.1 hours
= 2 1/10
Hence, the time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.
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The figure shows a cuboid with a square base of area 16 cm2
The area of the shaded face is 36 cm² What is the volume of the cuboid?
Answer
step by step explanation
volume=base area ×height
16 cm2 ×6=96cm2
z3+(y2-4x) x is 6 y is 8 z is 3
Answer:
9
Step-by-step explanation:
x = 6
y = 8
z = 3
3z + (2y - 4x)
= (3)3 + (2[8] - 4[6])
= 9 + (16 - 16)
= 9 + 0
= 9
Hope this helps! Tell me if am wrong about the answer, please!
Please, i need answer fast :< no steps, ILL GIVE BRAINLIEST TOO :)
Answer:
[tex]\huge\boxed{Area = 24\ square\ units}[/tex]
Step-by-step explanation:
Area of parallelogram = Base * Height
Where Base = 6 , Height = 6
Area = 6 * 4
Area = 24 square units
Answer:
24 square units
Step-by-step explanation:
the area formula is A=bh
b=6
h=4
A=4*6
A=24
