Answer:
Each friend gets 0.7 cookie
8 cookies
Step-by-step explanation:
A.
Number of cookies = 7
Number of friends = 10
how much cookie will each friend receive?
Number of cookie each friend get = number of cookies / number of friends
= 7/10
= 0.7 cookie
Each friend gets 0.7 cookie
B.
If each friend 1 1/2 cookies
how many more cookies would she need?
Total number of cookies needed = 1 1/2 × 10
= 3/2 × 10
= 30/2
= 15 cookies
She already has 7 cookies
Number of cookies needed more = 15 cookies - 7 cookies
= 8 cookies
Ditch Digging Problem Doug Upp can dig a ditch in 3 hours. His
brother Phil could dig the same ditch in 5 hours. How long would it take to dig the ditch if both work together?
A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
Answer:
The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters
The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters
The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters
Step-by-step explanation:
The percentage of acid in the first acid solution = 20%
The percentage of acid in the second acid solution = 40%
The percentage of acid in the third acid solution = 70%
The volume they want to use the three solutions to obtain a mixture of = 56 liters
The concentration of the mixture they want to obtain = 50%
The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included
Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture
Therefore, from the question parameters, we get;
x + y + z = 56...(1)
z = 2·y...(2)
0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)
Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;
10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280
2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168
2·y + 5·z = 168
From equation (2) and (4), we get;
2·y + 5·z = 2·y + 5×(2·y) = 168
12·y = 168
y = 168/12 = 14
The volume of the second acid solution in the mixture, y = 14 liters
From equation (2), we have;
z = 2·y
∴ z = 2 × 14 = 28
The volume of the third acid solution in the mixture, z = 28 liters
From equation (1), we get;
x + y + z = 56
x = 56 - (y + z)
∴ x = 56 - (14 + 28) = 14
The volume of the first acid solution in the mixture, x = 14 liters.
You have the letters in the word "SCIENTIST." What is the probability that you pick a vowel,do not replace it,and then pick "T"?
Answer:
1/12
Step-by-step explanation:
Total choices = 9, vowels = I, E, I = 3
Hence, P (vowel) = 3/9 = 1/3
Since you do not replace it, new total = 8 and number of Ts = 2
Hence, P (T) = 2/8 = 1/4
As these events are dependent and T is picked after vowel,
total probability = 1/3 x 1/4 = 1/12
please help ASAP!!!
A cone has a radius of 2.5 inches and a height of 1.6 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
4.0 in³
10.5 in³
12.0 in³
23.1 in³
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
new homes. How many animals are left at the shelter?
Answer:
44+54= 98
98-13=85
Step-by-step explanation:
Answer:
85 animals are left.
Step-by-step explanation:
44 + 54 = 98.
98 - 13 = 85.
how far apart are the cities ??
Find the slope, or rate of change, from the following tables:
Please help me
quick help plzz!!!!!!!
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
Answer:
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = 1 _ _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
He can purchase the computer now using his his debit card.
He can put more money in his bank account and use his debit card to purchase the computer at a later date.
He can buy the computer using cash once he has saved enough money.
He can purchase the computer now using his his credit card.
Answer:
A is wrong. A debit card uses the money you have.
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0, then + 1 = 1
2 ÷ 2 = 1, then + 1 = 2
-8 ÷ 2 = -4, then + 1 = -3
100 ÷ 2 = 50, then + 1 = 51
Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she need to make the dress
Answer:
2 11/12
Step-by-step explanation:
(1/3)×(35/4=35/12=2 11/12 yards
help pls !
i’ll mark brainliest to whoever answers it right first.
thanks !
Select the three ratios that represent the numbers of blue marbles to red marbles, there are 6 blue marbles and 9 red marbles
Answer:
6:9 or (2:3)
Step-by-step explanation:
A ratio is a term that gives comparison of values. It helps to determine
how much of a particular thing that is compare to other thing.
Given:
numbers of blue marbles= 6
numbers of red marbles= 9
Hence, ratios that represent the numbers of blue marbles to red = 6:9
We can reduce it using factor of 3, hence the ratio becomes(2:3)
What fraction of the large square is the purple square?
Answer: I don't what you are asking it should be in color but if you don't know it is 1/7 of the square
Step-by-step explanation:
What shape is this figure?
A cylinder.
cylinder
sphere
cone
pyramid
Answer:
Cylinder
Step-by-step explanation:
The shape of this figure is cylinder.
Answer:
a cylinder
Step-by-step explanation:
tis not sphere, cone, or pyramid :)
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.
Answer:
42 acres, 14 acres, 28 acres
explain why we need to always balance algebraic equations.
A recipe that serves 20 people uses ⅝ cup of water. How many cups of water are needed to serve 70 people?
Answer:
43.75 or simplified as 43 3/4 which is a mixed number
Step-by-step explanation:
How I did it is divide 5 and 8 and got 0.625 and I divided 70 by 0.625 and got 43.75 and I simplified it as a maxed number and got 43 3/4
Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
is/are true?
I. The mean is 5.
II. The median is 4.
III. The mode is 2.
Answer:
III. The mode is 2
Step-by-step explanation:
Mean: (8+2+9+4+2+7+8+0+4+1)/10 = 45/10 = 4.5
Median: (2+7)/2 = 9/2 = 4.5
Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)
The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.
Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.
Answer:
28 books and 14 months
Step-by-step explanation:
Because 28 is greater then 14 by 14 not 7
a cube has edges measuring 5 inches. Find the surface area of the cube.
Grant has 6 red socks, 4 blue socks, 8
green socks, and 2 yellow socks in a
drawer. He will randomly select two socks
from the drawer one at a time without
replacement. What is the probability that
Grant will select a blue sock and then a
green sock?
F
25
50
95
95
The probability that Grant will select a blue sock and then a green sock = [tex]\frac{8}{95}[/tex].
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
The probability that Grant will select a blue sock and a green sock =
= Probability of choosing a blue sock * Probability of choosing a green sock out of the remaining socks
= [tex]\frac{Number\ of\ blue\ socks}{Total\ number\ of\ socks} * \frac{Number\ of\ green\ socks\ out\ of\ remaining\ socks }{Total\ number\ of\ remaining\ socks}[/tex]
= [tex]\frac{4}{20} * \frac{8}{19} = \frac{8}{95}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
What is the combined weight of all the kittens
Answer:
[tex]5[/tex]
Step-by-step explanation:
3/4+12/8+3/2+10/8=5
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons