Answer:
Richard gets 15 more sweets than Natasha.
Step-by-step explanation:
Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :
Let ratio be units,
[tex]5 units = 75 sweets[/tex]
[tex]1 unit = 75 \div 5[/tex]
[tex]1 unit = 15 sweets[/tex]
Now we have to find how many sweets does Natasha and Richard has :
Richard (ratio of 3),
[tex]3 units = 15 \times 3[/tex]
[tex]3 units = 45 sweets[/tex]
Natasha (ratio of 2),
[tex]2 units = 15 \times 2[/tex]
[tex]2 units = 30 sweets[/tex]
In order to find how many sweets Richard has more than Natasha, you have to substract :
[tex]45 - 30 = 15 sweets[/tex]
Answer:
15
Step-by-step explanation:
the answer is 15
What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles
Answer:
The population density is 7592 people per square mile
Step-by-step explanation:
The population density of los Angeles here refers to the number of people present by square miles
Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles
The population here is 4,000,000 while the area is 503 square miles
The population density is thus ;
4,000,000/503 = 7592.29 which is approximately 7592 people per square mile
2. 2x - y = 6,
- x + y = -1
Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
y=3.166 x=4.166
Step-by-step explanation:
Correct answers only!
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $8.40
Step-by-step explanation:
The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.
First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.
B=40(1+r)^t
R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.
B=40(1+0.10)^t
T is time: 2 years
B=40(1+0.10)^2
Now that we have the equation filled out, we plug this into a calculator.
48.4=40(1+0.10)^2
We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.
48.4-40=8.4
Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]
Therefore:
Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]
[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]
Answer: length of pencil is 9.8 inches.
Step-by-step explanation:
The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is
d = √(l² + w² + h²)
Where
d = diagonal = length of pencil
w = width = 4 inches
h = height = 4 inches
l = length = 8 inches
Therefore,
d = √(4² + 4² + 8²) = √96
d = 9.8 inches
find angle C! please and thankyou
Answer: it's around 40
Step-by-step explanation:
Solve the following system of equations {4x−6y=105x+6y=−55
Answer:
31557778998765432
Step-by-step explanation:
is it impossible
What is the area of the triangle (I need this today pls help)
Answer: 24 units^2
(12*4)/(2)=24
Step-by-step explanation:
Answer:
Step-by-step explanation:
4*12/0.5=96
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
To get more about equations visit:
https://brainly.com/question/14323743
which equation can be used to solve for c?
Answer:
The second option
Step-by-step explanation:
cos35=5/c
5/c=cos35/1
cos35(c)=5
c=5/cos35
Therefore, the second option.
I hope this helped and have a good rest of your day!
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3
Answer:
They do have the same solution
Step-by-step explanation:
In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).
Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer
Step-by-step explanation:
2 Buildings : 3 Floors Each : 16 Windows per Floor
Multiply 2 and 3 to get the total amount of floors.
2 times 3 equals 6
Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.
6 times 16 equals 96
Therefore, there are 96 windows in total or 48 windows per building
Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?
A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above
Answer:
I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right
Step-by-step explanation:
HOPE THIS HELPS
Write nine minus the quotient of two and a number x as a expression variable
Answer:
9-(2/x)
Step-by-step explanation:
Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answer:
A=264
Step-by-step explanation:
2/9 times n = -6. find the value of n. Please help!
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27
I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
Answer:
68%
Step-by-step explanation:
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .
Round to nearest hundreth
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
Factorise this expression as fully as possible
4x^2+x^3
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.
Answer: 2 prices
Step-by-step explanation:
Price per play = $0.50
Total amount incurred by Gina in playing =$4
Therefore, total games played :
$4 ÷ $0.5 = 8 games.
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
Probability of winning:
P(WIN) = ( required outcome / Total possible outcome)
P(win) = 3/12 = 1/4
Therefore, the number of prices she can expect to win is (1/4) × number of games (8)
(1/4) × (8) = 2
Find the slope between:
(4, -1)
(-2,4)
Answer:
-5
----
6
Step-by-step explanation:
y2-y1
-------
x2-x1
-1-4 -5
------ = ---
4--2 6
~Anna
help plz! (a + b - c)(a + b + c) multiplying polynomials
Answer:
a^2 + 2ab + b^2 - c^2
Step-by-step explanation:
When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?
Answer:
A bag contains:
8 blue balls.
7 green balls.
5 red balls.
The probability that the ball is red would be:
P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25
Hope this helps!
:)
Answer:
0.25
Step-by-step explanation:
Total balls: 8 + 7 + 5 = 20
Red balls: 5
P(red) = 5/20 = 0.25
can someone give me some examples of statistics PLEASE
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
