Answer: b. Every 18 minutes, 28 more pizzas were set out on the buffet.
Step-by-step explanation:
The equation is in the form: y = mx + c
m is the gradient which represents the rate of change per a given value of x.
x here is every 9 minutes after 11:00. Every 18 minutes therefore will give x a value of 2 because 18/9 = 2.
The rate of change every 18 minutes is therefore;
= 14 * 2
= 28 pizzas
pls help meeeeeeeeee
72 = 5x + 22 X = can some one answer this plz
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
72 = 5x + 22
Step 2: Solve for x
Subtract 22 on both sides: 50 = 5xDivide 5 on both sides: 10 = xRewrite: x = 10Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 72 = 5(10) + 22Multiply: 72 = 50 + 22Add: 72 = 72Here we see that 72 does indeed equal 72.
∴ x = 10 is the solution to the equation.
Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)
Answer:
[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]
Step-by-step explanation:
The standard form of a complex number:
[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]
[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]
Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later. Mel then shared the remaining portion among himself and 2 friends. What fraction of the whole quesadilla did each person get?
Answer:
1/3
Step-by-step explanation:
Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later.
Let the whole portion of the quesadilla be represented as 10/10 = 1
The amount of quesadilla Mel left
= 1 - 1/10
= 9/10
Mel then shared the remaining portion among himself and 2 friends.
The amount if each portion that Mel and his friends got is calculated as:
9/10 ÷ 3 friends
= 9/10 × 1/3
= 3/10
Mel and his friends got 3/10 of the remaining quesadilla.
The fraction of the whole quesadilla(10/10) did each person get is calculated as:
10/10 × 3/10/9/10
= 3/10 ÷ 9/10
= 3/10 × 10/9
= 1/3
The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187
1/x+2=2/x-1 identify all values of X that make the equation true
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Answer:
as written: x = 1/3
as maybe intended: x = -5
Step-by-step explanation:
As written
(1/x) +2 = (2/x) -1
3 = 1/x . . . . . . . . . add 1-(1/x)
x = 1/3
__
As maybe intended
1/(x +2) = 2/(x -1)
x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)
x -1 = 2x +4 . . . . . . . . eliminate parentheses
-5 = x . . . . . . . . . . . . . subtract (x+4)
answer this pls pls pls pls pls
Answer:
1= 0.25feet per 1 second
2.= 120 seconds
3. 72 seconds or 1 minute 12 seconds
Step-by-step explanation:
1.= 2/8=1/4=.25
2.= 50-20=30
30/.25=120
3.= 18 feet/.25 feet= 72 seconds
Answer:
1= 0.25feet per 1 second
2.= 120 seconds
3. 72 seconds or 1 minute 12 seconds
Step-by-step explanation:
What is the slope of the line represented by the equation 3x+4y= 12?
A: - 4/3
B: - 3/4
C: 3/4
D: 4/3
Answer:
B: -3/4
Step-by-step explanation:
how to use standard form
Answer: Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.
Step-by-step explanation: hope this helps
Store A sells 5 bagels for $2.05. Store B sells 3 bagels for $1.35. How do the unit rates compare?
A. The bagels at Store A are $0.04 more expensive than the bagels at Store B.
B. The bagels at Store A are $0.03 more expensive than the bagels at Store B.
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
D. The bagels at Store B are $0.03 more expensive than the bagels at Store A.
3 / 24
Answer:
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
Step-by-step explanation:
Find the unit rates of both stores by dividing the price by the number of bagels:
Store A:
2.05/5
= 0.41
Store B:
1.35/3
= 0.45
Store B's bagels are $0.04 more than Store A's, so C is the correct answer.
A parabola can be drawn given a focus of (4, -3) and a directrix of x=2 Write the equation of the parabola in any form
Answer:
The equation of the parabola ( y +3)² = 4 ( x-3)
Step-by-step explanation:
Step(i):-
we know that the focus of the parabola (h + a , k ) and directrix is x = h - a
Given
focus of the parabola (h + a , k ) = ( 4, -3 )
Equating h + a =4 ..(i)
and k =-3
Given directrix is x = 2
h - a =2 ..(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 4+2
2 h = 6
h =3
substitute h=3 in equation (i)
h + a =4
3 + a =4
a = 1
The length of Latus rectum 4a = 4(1) =4
Step(ii):-
The vertex ( h, k) = ( 3 , -3) and a = 1>0
Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis
The equation of the parabola
( y - k )² = 4 a ( x - h )
( y - (-3))²= 4(1) ( x - 3 )
The equation of the parabola ( y +3)² = 4 ( x-3)
Please help with this question
Answer: Negative
Step-by-step explanation:
A is farther from 0 on the number line, whereas B is closer to zero. If A is negative and B is positive, B + A will be negative as the absolute value of A is greater than the absolute value of B (further from 0).
Answer:
The correct answer is B Negative
Step-by-step explanation:
When you are adding a negative, and a positive, if the negative will take over, and vice versa. For example if you were to add -8+3 it would equal -5.
Please help me! Thank you so much!
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
CAN I HAVE SOME HELP!!!!
Answer:
I believe is C
if not I'm sorry.
Tell whether the sequence is arithmetic. If it is, identify the common difference. 4, 8, 16, 32, …
Answer:
it's geometric
8/4=2 16/8=2
d=2
All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
6 miles in 2 hours
0ne hour will be 3 miles.
We have,
6 tickets = $99
Divide both sides by 6.
1 ticket = 99/6
1 ticket = $16.5
The multiplication equation to determine the cost C in dollars of each ticket:
$C = 99 x 1/6
Thus,
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
Learn more about unit rates here:
https://brainly.com/question/28394073
#SPJ2
The regular price of a watch is $28.25. During a sale, the watch was marked 12% off. What was the price of the watch during the sale? (5 points)
a
$2.35
b
$3.39
c
$16.25
d
$24.86
Answer:
I believe the answer would be D, $24.86
Bob and Cheryl are taking a road trip that is 181.60 miles. Bob drove
3
4
of the total distance.
How many miles did Bob drive?
PLZ HELP!!! I HAVE ONLY 15 MINUTE LEFT BEFORE CLASS IS OVER!!!!
Answer:
268
Step-by-step explanation:
The highest point in a park is 235 feet above sea level. The lowest point is 32 feet below sea level. What is the distance between the highest and lowest points in the park? _____ feet
Answer:
The distance between the points is equal to 267 feet
Step-by-step explanation:
In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........
235 - (-32) = 235 + 32 = 267
(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).
PLEASE HELP ME I DONT KNOW HOW TO ANSWER THIS
Answer:
I think its SAS but it i took geometry 2 years ago so im not 100% sure
Step-by-step explanation:
40 plus 40 minus 20 times 0 plus 3 plus 125 equals what
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Answer:
208
Step-by-step explanation:
The order of operations requires that the multiplication be done before addition or subtraction.
40 + 40 - 20×0 + 3 + 125
= 40 + 40 - 0 + 3 + 125
= 80 - 0 + 3 + 125
= 80 + 3 + 125
= 83 + 125
= 208
__
The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)
Answer:
208
40 plus 40 minus 20 times 0 plus 125 in written form:
40 + 40 - 20 × 0 + 3 + 125
In order to get our answer 208, we must do it step by step:
First, we need to put 40 plus 40 into an equation:
40 + 40 = 80
Now that we have 80, we need to find 20 times 0:
20 x 0 = 0
Since 20 times 0 equals 0, we can now add 80 plus 3:
80 + 3 = 83
Now what we have left is to add 83 plus 125 which will give us our answer:
83 + 125 = 208!
The answer will be 208.
Hope this helps!
~Hocus Pocus
the length of a rectangle is one unit more than its width. if the area of the rectangle is 56 square units,find the dimensions of the rectangle
Given:
The length of a rectangle is one unit more than its width.
Area of rectangle = 56 units
To find:
The dimensions of the rectangle.
Solution:
Let, width of the rectangle be x.
Then, length of the rectangle = x+1
Area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]56=(x+1)\times x[/tex]
[tex]56=x^2+x[/tex]
[tex]0=x^2+x-56[/tex]
By splitting the middle term, we get
[tex]x^2+8x-7x-56=0[/tex]
[tex]x(x+8)-7(x+8)=0[/tex]
[tex](x-7)(x+8)=0[/tex]
Using zero product property, we get
[tex]x-7=0[/tex] and [tex]x+8=0[/tex]
[tex]x=7[/tex] and [tex]x=-8[/tex]
Width cannot be negative. So, x=7.
Now,
Width = 7 units
Length = 7+1
= 8 units
Therefore, the length of the rectangle is 8 units and width is 7 units.
Answer:
7
Step-by-step explanation: POV: I got it right
One afternoon, 27 people withdraw $100 from an ATM. What was the overall change in the amount of money in the machine?
Answer:
The change is a decrease of $2700.
Step-by-step explanation:
Given
Total Number of people = 27
Amount each person withdrew = $100
The total withdrawn amount by 27 people = 100 × 27
= $2700
Let M be the amount of money in the ATM at the beginning.
As $2700 was drawn from the ATM, therefore, the change the amount of money in the machine will be:
M - 2700It means the change is a decrease of $2700.
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
A recipe calls for 4 0z of raisins. If I
use 224 0z of raisins, how many
batches of this recipe did I make?
A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section
Answer:
56 ft^2
Step-by-step explanation:
Dan earns £367 over the course of a five day week. How much is that per day?
Complete the proof that AFGH isn't similar to AJIH.
Would a graph with a slope of 0 and a y intercept of 4 be proportional or not proportional?
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Answer:
not proportional
Step-by-step explanation:
If the y-intercept is not zero, the graph does NOT show a proportional relationship. A y-intercept of 4 means the relation is not proportional.