Answer:
Frank served 32
Alan served 18
Linda served 24
Step-by-step explanation:
78-6=72
72 divided by 4 = 18
Next time if you need help on these kind of questions, try drawing a bar diagram, it really helps
The sum of several consecutive natural numbers is 2012. How many numbers were in that sum
Answer:
8
Step-by-step explanation:
first number = a, there are n numbers
so last number is a + n - 1
sum = [a + (a + n - 1)} * n/2 = (2a + n - 1) / 2 = 2012
n * (2a + n - 1) = 2012 * 2 = 4024
4024 is even, so n must be even, divisible by 2, 4, 8
4024 = 2 * 2012 = 4 * 1006 = 8 * 503
If n = 2, 2a + n - 1 = 2012, 2a + 2 - 1 = 2012, 2a = 2011, impossible.
If n = 4, 2a + n - 1 = 1006, 2a + 4 - 1 = 2a + 3 = 1006, 2a = 1003, impossible
If n = 8, 2a + n - 1 = 503, 2a + 8 - 1 = 2a + 7 = 503, a = 248
so n = 8, a = 248
Amelia had 26 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A. 26 + S + 10
B. 26 - 10 - S
C. 26 + S - 10
D. 26 + 10 - S
Answer:
26+10-S
Step-by-step explanation:
Answer:
26+10-S or 36-S
Step-by-step explanation:
She has 26 shells and collected 10 more
26+10
And the she gave her sister S shells
26+10-S or 36-S
Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,
Answer:
Step-by-step explanation:
50:100 and 1:2
15:20 and 3:4
15:16 and 5:2
10:5 and 2:1
Hope this helps!
factor 1/3 out of 1/3p-2/3
Answer:
[tex]\frac{1}{3}(p-2)[/tex] , 1/3(p-2)
Step-by-step explanation:
[tex]\frac{1}{3} p-\frac{2}{3}[/tex]
[tex]\frac{1}{3}(p-2)[/tex]
Four standard, six-sided dice are to be rolled. If the product of their values turns out to be an even number, what is the probability their sum is odd? Express your answer as a common fraction.
Answer:
Your answer is 8/15.....
Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
=.
10
10
15. 7
14. 11
You must follow the order of operations to find the value of a numerical expression. Why?
Answer:
its so good out here whwere you frm
la edad de selly. e es mayor que 15
What is the prob of an event that must happen.
Answer:
%100 Elon Musk going to Mars
Step-by-step explanation:
yes yes yes
i don't know if this is the answer you want
please mark brainliest i need 3 more
Can you please help
The graph of a function f is shown above. What is the value of [tex]\int\limits^7_0 {f(x)} \, dx[/tex]
==============================================
Explanation:
Split the graph into separate regions (see the diagram below)
The red trapezoid has the parallel vertical sides of b1 = 1 and b2 = 2. The height of the trapezoid is h = 2
The area of the red trapezoid is
A = h*(b1+b2)/2 = 2*(1+2)/2 = 3
--------------
The blue rectangle has a horizontal side of 2 and vertical side of 2. Its area is 2*2 = 4 square units.
--------------
The pink triangle has a base of 1 and height of 2
area = base*height/2 = 1*2/2 = 1 square unit
--------------
The green triangle has an area of base*height/2 = 2*2/2 = 2 square units
--------------
For any region above the x axis, it gets assigned a positive area. Anything below the x axis gets a negative area to counterbalance the positive areas.
The regions above the x axis add to 3+4+1 = 8 square units. Then we subtract off the area of the green triangle to get 8-2 = 6 square units.
Therefore, [tex]\displaystyle \int_{0}^{7}f(x)dx = 6[/tex]
simplify the radical below
3√x^18
The radical is 3sqrt(x^18)
18/2=9
so, the radical is
3x^9
-7(5k - 4)
Simplify expression
Answer:
−35k+28
Step-by-step explanation:
the answer is -35k+28
i hope its right
what is the relationship between slope and unit rate?
Answer:
For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.
HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.
What is the maximum number of shelves the designer can paint?
Enter your answer in the box.
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain
Which of the following is not a right triangle?
a
30, 40, 50
b
9, 40, 41
c
24, 32, 40
d
40, 76, 86
Answer:
D) 40, 76, 86
Step-by-step explanation:
..........
lots of points for correct answer!
Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.
Determine the height of the quadrilateral. -
Determine the length of the quadrilateral. -
What shape do the points form?
What is the area of the quadrilateral?
What is the perimeter of the quadrilateral?
Answer:
height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 unitsStep-by-step explanation:
Height
The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:
4 -(-2) = 4 +2 = 6
The height of the figure is 6 units.
__
Length
The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:
4 -(-3) = 4 +3 = 7
The length of the figure is 7 units.
__
Shape
The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.
__
Area
The area of the quadrilateral is the product of its length and height:
A = LH
A = (7 units)(6 units) = 42 units²
The area is 42 square units.
__
Perimeter
The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.
P = 2(6 +7) = 26
The perimeter is 26 units.
standard from 4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}[/tex]
4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]x(4x {}^{99} + 7x {}^{9} + \frac{6637}{1000} [/tex]hellllllllllllllllllllllllllllllpppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
That equals to 5x5x5 which 5x5x5 = 125
But the correct answer on that quiz is 1st I think
Step-by-step explanation:
Sorry if im wrong
A class must have fewer than 18 students due to the number of desks that can be placed in the classroom. Write an inequality that represents this situation. Use the variable n to represent the number of students.
In order for a class to participate in the school's trivia contest, the class must have at least 15 students. Write an inequality that represents this situation.
Answer:
n < 18n ≥ 15Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
the number of students is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
the number of students is at least 15
translates to ...
n ≥ 15
can someone please help with my work!
Answer:
900 km i think
Step-by-step explanation:
umm so first 8*10=80%, then 4500-80%
Add the decimals.
3.0001 +72
=
Answer:
75.0001
Step-by-step explanation:
Used a calculator
The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.
Answer:
Hope this helps you.......
Step-by-step explanation:
[tex] \boxed{\blue{\frak{DisneyPrincess29}}}[/tex]
Answer:
breadth = 12 cm and Length is 48 cm
Explanation:
Let the length be x,
then the breadth will be [tex]\frac{1}{4}[/tex]x
Formula for area of rectangle:
length * breadth
using the formula:
x * [tex]\frac{1}{4} x[/tex] = 576
x² = 4(576)
x² = 2304
x = √2304
x = 48
Therefore the Length is 48 cm
Then the breadth [tex]\frac{1}{4}[/tex] * 48 = 12 cm
Help please 10 points
Answer:
1, -2, -4, -6, -6.9, -6.99, -6.999
In how many ways can a committee of three men and three women be formed from a group of eight men and seven women
==========================================================
Explanation:
Order doesn't matter when it comes to committees without rankings. Each person on the committee is of equal rank to anyone else. This means we'll use a combination instead of a permutation.
We have 8 men and 3 seats to fill for the men. Plug n = 8 and r = 3 into the nCr combination formula
n C r = (n!)/(r!(n-r)!)
8 C 3 = (8!)/(3!*(8-3)!)
8 C 3 = (8!)/(3!*5!)
8 C 3 = (8*7*6*5*4*3*2*1)/((3*2*1)*(5*4*3*2*1))
8 C 3 = (40320)/((6)*(120))
8 C 3 = (40320)/(720)
8 C 3 = 56
This means there are 56 ways to select the three men from a pool of eight.
Through similar steps, you should plug n = 7 and r = 3 into the nCr combination formula to get 7 C 3 = 35. This means there are 35 ways to pick the three women from a pool of seven.
Overall, there are 56*35 = 1960 ways to select the entire committee of 3 men and 3 women (from a pool of 8 men and 7 women).
Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scoresThe z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
Read more about z scores at:
https://brainly.com/question/25638875
Please HELP IN 10 MINS!!!!!!!!!!!!!!!!!!!!Lisa, Melinda, and Rahul love the same board game. The game must
be played by at least two people. Lisa can play every two days,
Melinda can play every three days, and Rahul can play every four
days. Today, all three played 1 game together. What is the total
number of games they will play from Day 1 to Day 50 if today is
Day 1? (Exactly 1 game is played per day.)
Answer:
25 games were played
Step-by-step explanation:
I first found how many games were played in 10 days
and then multiplied it by 5 to know how many games were played in 50 days
(but I am not sure if it is correct since it said that 1 game was played everyday and with rules I am not sure if it is even possible)
feel free to correct me
Answer: 17
Step-by-step explanation:
Lisa and Melinda will play together 8 times
Lisa and Rahul will play together 12 times
Melinda and Rahul will play together 4 times
So total games are 24 -- but they all will play together 4 times.
Since, "exactly 1 game is played per day", they cannot play 2 and 3 together at any day.
So total number will be: (8-4) + (12-4) + (4-4) = 12
Now, we must consider 4 where they played all 3 together; so total number: 12 + 4 = 16
Also, they already played 1 game at 1st day; so total number: 16 + 1 = 17
please help with step by step.
Answer:
60 ÷ 15
= 4 mins
the constant of proportionality for the number of 4 minutes to read 1 page.
what is 90 divided by 19 +607 divided by 1
Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73