After Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.
To compare how much cake Angela and David eat, let's calculate the total fraction of each cake consumed by each person:
For Angela:
- Chocolate cake: [tex]\( \frac{4}{8} = \frac{1}{2} \)[/tex]
- Vanilla cake: [tex]\( \frac{2}{8} = \frac{1}{4} \)[/tex]
- Strawberry cake: [tex]\( \frac{2}{4} = \frac{1}{2} \)[/tex]
Total cake eaten by Angela: [tex]\( \frac{1}{2} + \frac{1}{4} + \frac{1}{2} = \frac{5}{4} \)[/tex]
For David:
- Chocolate cake: [tex]\( \frac{1}{4} \)[/tex]
- Vanilla cake: [tex]\( \frac{3}{8} \)[/tex]
- Strawberry cake: [tex]\( \frac{1}{2} \)[/tex]
Total cake eaten by David: [tex]\( \frac{1}{4} + \frac{3}{8} + \frac{1}{2} = \frac{13}{8} \)[/tex]
Since [tex]\( \frac{13}{8} > \frac{5}{4} \),[/tex] David eats more cake than Angela.
To find out how much more cake David eats:
- David eats [tex]\( \frac{13}{8} - \frac{5}{4} = \frac{13}{8} - \frac{10}{8} = \frac{3}{8} \)[/tex] more cake.
To calculate how much of each cake is left:
- Chocolate cake: [tex]\( 1 - \frac{4}{8} - \frac{1}{4} = \frac{1}{4} \)[/tex]
- Vanilla cake: [tex]\( 1 - \frac{2}{8} - \frac{3}{8} = \frac{3}{8} \)[/tex]
- Strawberry cake: [tex]\( 1 - \frac{2}{4} - \frac{1}{2} = \frac{1}{4} \)[/tex]
So, after Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.
We read 21 pages of my English book yesterday. Today, we read 17 pages. What is
the total number of pages we read?
Answer:
38 pages
Step-by-step explanation:
Add 21 + 17 pages
calculate the number in the middle of 11 and 24
Answer:
17.5
Step-by-step explanation:
11 + 24 = 35 /2
Answer:
17.5.
Step-by-step explanation:
The total number of integers from 11 to 24 = 13 + 1 = 14.
So the 2 middle numbers are 17 and 18.
Number in the middle = 17.5.
This is the median of the list of numbers.
five times as many girls as boys went to the dance. The total of 120 students went to the dance. How many boys and girls went to the dance?
Answer:
100 girls and 20 boys
Step-by-step explanation:
since its 5 times as many girls multiply 20 by 5 which is 100 and then boom 20 boys cause 100 divided by 5 is 20
Estimate a 15% tip on a dinner bill of 31.51 by first rounding the bill amount to the nearest ten dollars.
Answer: The estimated 15% tip would be $4.50.
Step-by-step explanation: Basically, first you will need to round the bill amount, $31.51 to the nearest ten dollars. 31.51 rounded to the nearest ten dollars is $30. Next, you will need to find the estimated tip amount. To do this multiply $30 by the tip 15%. Before you can find the tip amount, you will need to covert 15% to a decimal. To convert 15% to a decimal, divide 15 by 100 to get 0.15. Now, you can multiply 30 by 0.15 to get 4.50. So, $4.50 would be the tip if $31.51 was rounded to the nearest ten dollars.
Which expressions are equivalent to -6+4q+(-6q)?
Choose all answers that apply:
(Choice A)
A
-6(q+1)-4q
(Choice B)
B
2(q-3)
(Choice C)
C
None of the above
Brainiest for whoever answers first, if cannot do brainliest will 5 stars and heart
Answer:
I believe non of the above.
Step-by-step explanation:
Answer: C- None of the above
Step-by-step explanation:
What is the sum of the series? Write in expanded form making sure to show all steps used to find the sum.
Given:
[tex]\sum_{k=3}^{6}(-2 k+5)[/tex]
To find:
The sum of the series.
Solution:
[tex]$\sum_{k=3}^{6}-2 k+5[/tex]
Substitute k = 3, 4, 5 and 6.
[tex]$=[-2 (3)+5] +[ -2 (4) +5]+[-2 (5)+5]+[-2 (6)+5][/tex]
[tex]$=[-6+5] +[ -8 +5]+[-10+5]+[-12+5][/tex]
[tex]$=[-1] +[ -3]+[-5]+[-7][/tex]
Apply minus plus rule: [tex]+(-a)=-a[/tex]
[tex]$=-1 -3-5-7[/tex]
[tex]$=-16[/tex]
[tex]$\sum_{k=3}^{6}-2 k+5=-16[/tex]
Therefore the sum of the series is -16.
What is the value of x?
x = 41 cm
Here is why:
For this question we have to use the pythagorean theorem, which is used for right triangles. The hypotenuse will always be the last in this theorem.
[tex]a^2+b^2=c^2[/tex]
Plug in.
[tex]9^2+40^2=c^2[/tex]
[tex]81+1,600=c^2[/tex]
Add together.
[tex]1,681=c^2[/tex]
Now we will find the square root of 1,681, since c is squared.
[tex]\sqrt{1,681}[/tex]
= 41 cm
13>3+2x
aanswer plz !
Hope this will help u...:)
An experiment involves rolling a die and drawing a card from a standard deck of 52 cards. What is the probability that the die lands on 4 and the card is a heart?
The probability of rolling a die and it landing on 4 while also drawing a heart from a deck of 52 cards is 1/24.
The experiment involves rolling a die and drawing a card from a deck. The probability of rolling a specific number, like a 4, on a fair six-sided die is 1/6 since there are six possible outcomes, each equally likely. When drawing a card from a standard 52-card deck, the probability of drawing a heart is 1/4, because there are four suits and each suit has the same number of cards (13).
To find the combined probability of both independent events occurring, we multiply their individual probabilities: (1/6) for rolling a four and (1/4) for drawing a heart, which equals (1/6) * (1/4) = 1/24. Therefore, the probability of the die landing on a 4 and drawing a heart is 1/24.
You are charged $16.7 in total for a meal. Assuming that the local
sales tax is 7.6%, what was the menu price of this item?
*How would I work this out I keep getting 15.43 but that’s not correct
Final answer:
To find the menu price of an item after a total charge of $16.7 with a 7.6% local sales tax, calculate the total sales tax amount and then deduct it from the total cost to obtain the menu price of $15.43.
Explanation:
To find the menu price of the item after being charged $16.7 in total for a meal with a 7.6% local sales tax:
Calculate the sales tax amount: 7.6% of $16.7 = $1.27
Subtract the sales tax from the total cost: $16.7 - $1.27 = $15.43
Therefore, the menu price of the item was $15.43. Make sure to round off correctly based on the question requirements.
Evaluate:
© 20
© 20.8
O 24
DONE
Answer:
24
Step-by-step explanation:
1. 24
2. 0
3. a [4.9] and [3.1] and c [-6] and [-6]
4. edge answer: The statement is not true for all real numbers. It is only true for decimal or fractional values of x . If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1. Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.
5. edge answer: There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are on the right.
6. all real numbers
7. all multiples of 4
8. multiples of 8 greater than 0
9. 3
10. real numbers ≥ 0
11. integers ≥ 0
12. f(x)=2.50[x-1]
here's your reminder to fix your posture (you know you're slouching, that'll hurt your back when you're old lol) and go get some water! hydration is best because your body uses it to regulate body temperature, keep joints lubricated, prevent infections, deliver nutrients to cells, and keep organs functioning properly. being well-hydrated also improves sleep quality, cognition, and mood! also, if you don't drink water for 3-21 days (depends on age and body and stuff) you'll die. so there's that too.
summary of that ^ fix your posture and drink some water <3
Which pyramid has the greatest surface area?
Pyramid
Answer:
the greatest surface is A
Step-by-step explanation:
Answer:
answer is A have a great day
Step-by-step explanation:
a cylindrical tank has a diameter of 5 feet and the distance between the circular bases is 6 feet. find the lateral area of the tank.
Answer:
Lateral area = 94.2 ft²
Step-by-step explanation:
The formula for lateral area of cylinder is given as;
A_l = 2πrh
Where;
r is radius
h is height
Now, we are told that the distance between the 2 circular bases is 6ft. Thus, the height is 6ft.
Diameter is given as 5ft.
We know that radius = diameter/2
Thus;radius;r = 5/2 = 2.5 ft
So, lateral area = 2πrh = 2π x 2.5 x 6 = 94.2 ft²
Lateral area = 94.2 ft²
what does two plus two
Answer: 4
Step-by-step explanation: and then 4 plus 4 equals 8 :)
Answer: it's four
2+2=4
Coordinates of a Pre-image
The segments shown are dilations of each other about
the origin. Which statement could be true?
O
The coordinate (1, 0) is from a dilation using the
scale factor of
O
(1,0)
(5,0)
O
The coordinate (5,0) is from a dilation using the
scale factor of 4.
The coordinate (1, 0) is from a dilation using the
scale factor of 5.
The coordinate (5,0) is from a dilation using the
scale factor of
O
Answer:
The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Step-by-step explanation:
this answer would be A. The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
hope this helps
Which expression is equivalent to 1/3 + 3/4 + 2/3
Answer:
7/4 or 1.75 or 1 3/4
Step-by-step explanation:
complete the sentence about pattern G and pattern H. use the table to help
Answer:
Step-by-step explanation:
4 times
Each term of G is 4 times the corresponding terms of H.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
we have a table between G and H.
So, take two pair of G and H as (8, 2) and (16, 4).
Then, the slope
= (4 -2)/ (16- 8)
= 2 / 8
= 1/4
Thus, the G is 4 times the corresponding terms of H.
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What is sum 2/3 + 1/6?
Answer:
5/6
Step-by-step explanation:
convert 2/3 to 4/6 by multiplying by 2
4/6 + 1/6 = 5/6
Answer:
The answer is [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
You need to find the GCF which is 6 so multiply the 2/3 to become 4/6 from then you can add the numerators.
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1/4 an ounce per second. Diego starts with 20 ounces and drinks 2/3 an ounce per second. 1. How long will it take Lin and Diego to finish their milkshakes?
Answer:
Lin = 48 seconds
Diego = 30 seconds
Step-by-step explanation:
Hi, to answer this question we have to divide the total ounces of drink by the amount that each one drank per second, for each case.
Mathematically speaking:
Lin = 12 ounces / (1/4) ounces/second = 12/ (1/4) = 48 seconds
Diego = 20 ounces / (2/3) ounces/second = 20/ (2/3) = 30 seconds
Feel free to ask for more if needed or if you did not understand something.
Lin = 48 seconds
Diego = 30 seconds
The calculation is as follows:Lin = 12 ounces ÷ (1/4) ounces/second = 12 ÷ (1/4) = 48 seconds
Diego = 20 ounces ÷ (2/3) ounces/second = 20 ÷ (2/3) = 30 seconds
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. The equation d + 6400 = 3/1.3 x 10". 42
relates the distance d in kilometers of a
certain GPS satellite above the surface of
the Earth to the number of hours t it takes
the satellite to complete one orbit. The
average distance of this satellite above the
surface of the Earth is 20, 100 kilometers.
To the nearest hour, how long does it
take the GPS satellite to complete one
orbit of the Earth?
The satellite's speed is approximately 45,216 kilometers per hour.
Calculating the Satellite's Speed
To find the satellite's speed in kilometers per hour, we can follow these steps:
1. Calculate the total distance traveled in one orbit:
The satellite's orbital distance is the circumference of its circular orbit around the Earth.
Circumference = 2 * π * radius
where:
π (pi) is a mathematical constant approximately equal to 3.14159
radius = distance from the satellite to the Earth's center = 6400 km + 2000 km = 8400 km
2. Calculate the orbital period in seconds:
We know the orbital period is 12 hours, but we need it in seconds for our calculations.
Convert hours to seconds: 12 hours * 60 minutes/hour * 60 seconds/minute = 43,200 seconds
3. Calculate the speed:
Speed = distance / time
Speed = total distance / orbital period
Speed = (2 * π * radius) / orbital period
Speed = (2 * 3.14159 * 8400 km) / 43,200 seconds
Speed ≈ 12.56 km/s
4. Convert speed to kilometers per hour:
Speed = 12.56 km/s * 3600 seconds/hour = 45,216 km/hr
Therefore, the satellite's speed is approximately 45,216 kilometers per hour.
The probable question can be: A satellite has recently been placed in a nearby circular orbit 2000 kilometers above the earth surface. Given that the radius of the earth is approximately 6400 kilometers and that the satellite completes its orbit in 12 hours, CALCULATE THE SPEED OF THE SATELLITE IN KILOMETERS PER HOUR.
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
0 32/3pi cm
O 8picm
o 64/3pi cm
O 16pi cm
Answer:8picm3
Step-by-step explanation:
A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?
Answer:
20,349x100,947
Step-by-step explanation:
A ON EDGDE
The expression which represents the number of possible groups of students that can fill the 11 available slots is 20,349 · 100,947.
Given that:
A high school is hosting a blood drive.
The problem can be done by using the concept of combinations.
Total number of students in Mr. Bentley’s class = 21
Number of slots available for Mr. Bentley’s class = 5
The number of possible groups that 21 students who can fill 5 slots are ²¹C₅.
Total number of students in Mr. Curren’s class = 23
Number of slots available for Mr. Curren’s class = 6
The number of possible groups that 23 students who can fill 6 slots are ²³C₆.
The number of possible groups is:
N = (²¹C₅) (²³C₆)
= [21! / (5!)(21-5)!] [23! / (6!)(23-6)!]
= (20349) (100947)
Hence the required expression is a.
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at the flea market, erin buys a phone that is 22% off and gloves that are reduced to $19.97. erin spends a total of $48.52. let g represent the cost of the phone. write an equation that correctly represents the cost of erin's shopping trip.
Answer:
g is approximately $129.77
Step-by-step explanation:
.22g+19.97=48.52
.22g=28.55
28.55/.22=129.77
Answer:
The cost of the phone: $28.55
The total price of the phone: $129.77
48.52 - 19.97 = 28.55
The phone was marked off by 22% so you divide by 22% to get the total cost of the phone, just incase you needed that.
Hope this helps <3
A bag contains white marbles and blue marbles, 54 in total. The number of white marbles is 1 less than 4 times the number of blue marbles. How many white marbles are there?
Answer: There are 43 white marbles.
Step-by-step explanation:
t = total number of marbles = 54
w = white marbles = 4b - 1
b = blue marbles
54 = b + (4b - 1)
b + 4b = 5b
54 = 5b - 1
+1
55 = 5b
/5
11 = b
There are 11 blue marbles.
4(11) - 1
44 - 1 = 43
43 + 11 = 54, therefore our solutions are correct.
Answer:
43
Step-by-step explanation:
W = 4B - 1
W + B = 54
4B - 1 + B = 54
5B = 55
B = 11
W = 4(11) - 1
W = 43
Ryan would like to save 15% of his take-home pay towards retirement. How much should
he save each month if he makes $5,000 each month?
$750
$1125
$75
$75,000
15%=0,15
5000×0,15=750$
Answer: He should save $750
Two classmates got together over the weekend to do their assigned History reading. Savannah can read 1 page per minute, while Liam can read 3 pages per minute. When they met, Savannah had already read 62 pages, and Liam had already gotten through 2 pages. After a while, they both read the same number of pages. How many pages had each one read? How long did that take?
Answer:
The had read the books for 12 minutes.
Step-by-step explanation:
Let the number of minutes be x.
Tess = 51 + 1x
Ronald = 15 + 4x
When both read the same number of pages :
51 + 1x = 15 + 4x
3x = 36
x = 12
Which table represents a linear function?? Help plis
Answer:
The answer is the bottom left hand corner.
Step-by-step explanation:
If a car has already traveled 10 miles and then continues for
another 6 hours at a steady rate of 30 miles per hour, how
many total miles will it have traveled?
miles
Answer:
190
Step-by-step explanation:
PLEASE MARK BRAINLY
The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
The difference of the circumference of the pie container and pie is 6.3 inches.
Step-by-step explanation:
Given,
The radius of the pie container (R) = 9 in
The radius of the pie (r) = 8 in
To find the difference of the circumference of the pie container and pie.
Formula
The circumference of a circle = 2πr
Now,
The circumference of the pie container = 2×π×9 = 18π in
The circumference of the pie = 2×π×8 = 16π in
Hence,
The difference = 18π-16π = 2π = 6.28 = 6.3 inches (approx)
please help me answer this!!
Answer:
Step-by-step explanation:
purple goes to the first
green goes to the third
teal goes to the last
orange goes to second