Answer:
Jessica: 10 orders
Lamar: 18 orders
Kareem: 36 orders
Step-by-step explanation:
Let's first designate each person with a letter.
The number of orders served by Jessica can be designated as [tex]J[/tex]
The number of orders served by Kareem can be designated as [tex]K[/tex]
The number of orders served by Lamar can be designated as [tex]L[/tex]
We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.
[tex]J+K+L=64[/tex]
We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.
[tex]J = L-8[/tex]
Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].
[tex]K = 2L[/tex]
With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,
[tex]J+K+L=64[/tex]
with their values expressed as a subtraction or multiplication of [tex]L[/tex].
[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].
[tex]J+K+L=64[/tex]
With substitutions:
[tex](L-8) + 2L + L = 64[/tex]
We can simplify this by combining the L-terms:
[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]
Next, we'll add 8 to both sides.
[tex]4L = 72[/tex]
Divide both sides by 4:
[tex]L = 18[/tex]
Thus, Lamar served 18 orders.
Using our expressions, we can find how many orders the others served.
Jessica:
[tex]J = L-8\\J = 18 -8\\J = 10[/tex]
Jessica served 10 orders.
Kareem:
[tex]K = 2L\\K = 2*18\\K = 36[/tex]
Kareem served 36 orders.
If you loan $500 to a friend for 6 months and charge $50 total
in interest, what is the annual simple interest rate?
Step-by-step explanation:
S=(P×R×T)÷100
R=(100×S)÷P×T, given that S= simple interest, P=principal amount,T=time and R=rate.
R=(100×50)÷500×6
R=1.67
Hewo can anyone help
Answer:
Hewo can anyone help
Step-by-step explanation:
I would go with the last option,it looks like it makes sense.
Hope that helped,I have snap if you need anything else :)
Answer:
The last one
Step-by-step explanation:
6/9 9/12 wich one is bigger
Answer:
9/12
Step-by-step explanation:
because I is the biggest number
Answer:
[tex]\frac{9}{12}[/tex] is the biggest
Step-by-step explanation:
I converted the fraction to a decimal by dividing the numerator by the denominator.
[tex]\frac{6}{9}[/tex] is 0.6... (6 is repeating)
[tex]\frac{9}{12}[/tex] is 0.75
When looking at these 2 decimals I know 0.75 is bigger.
Which means [tex]\frac{9}{12}\\[/tex] is the biggest.
4 ten thousands 4 thousands x10
Due today please help
And also explain
Answer:
Step-by-step explanation:
What is the volume of the rectangular prism below?
2 cm
4 cm
4 cm
64 cm 3
20 cm 3
Answer:
32 cm 2
Step-by-step explanation:
volume of rectangular prism formula: lwh l=length (4) w=width (4) h=height (2) so 4*4 2=v; 32=v hope this helps have a great day! :D
What is 3(4p - 2) + 2 (5p + 2)
Answer:
p=1
Step-by-step explanation:
3(4p-2) +2(5p+2)
12p-6 + 10p + 4
12p-10p= 2p
6-4=2
2/2=1
6thousandths times 8
Answer:
.048
Step-by-step explanation:
6 thousandths = 0.006
So, 0.006 times 8 would be...
.006
x 8
.048
Hope this helps you out! I'm not exactly sure how to explain how to multiply, but if you're confused, you can always ask someone for help...have a great day :)
Amanda has completed 68 deliveries so far this week. She needs to make 85 deliveries for the week. What percentage of her deliveries has Amanda completed?
0
She has completed 80%
Solve the equation below for x.
cx-4=7
A. x=c/3
B. x=3/c
C. x=11/c
D. x=c/11
Answer:
x = 11/c
Step-by-step explanation:
Solve for x:
c x - 4 = 7
Hint: | Isolate terms with x to the left-hand side.
Add 4 to both sides:
c x = 11
Hint: | Solve for x.
Divide both sides by c:
Answer: x = 11/c
8.9+3.47 i really need help
What is the equation for the area of the parallelogram? 3x + x = 74 x + 3x + 74 3x • 74 = x x • 3x = 74
Answer:
x • 3x = 74
Step-by-step explanation:
Answer:
its D ;D
Step-by-step explanation:
Find the sum of 1.3 + 0.4
Answer:
1.7
Step-by-step explanation:
Answer:
1.7
Step-by-step explanation:
its common sense
Need HELP ASAP I WILL MARK BRAINLIEST
REWARD=Points and brainliest
Step-by-step explanation:
its really hard to see the graph but i could answer it for you if i just had a better picture
lisa an experienced shipping clerk, can fill a certain order in 7 hours. bill, a new clerk, needs
8 hours to do the same job. Working together, how long will it take them to fill the order?
Answer:
3.73 hours
Explanation:
In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:
Step 1:
Add the rate of both Lisa and Bill together
1/7 + 1/8
Step 2:
Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8
7·8= 56 8·7= 56
which is 56.
Step 3:
Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.
1·8= 8 1·7= 7
The fractions would now have equal denominators:
Lisa: 8/56 Bill: 7/56
Step 4:
Now, you can add them together
8/56 + 7/56
which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.
Step 5:
15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.
56/15
which is 3.73 hours in decimal form (rounded).
785,621 rounded to the nearest ten thousand
Answer:
790,000
Step-by-step explanation:
Take the place behind the place you're trying to round from, (thousands place in this case) and if that number is 5 or above, which it is, you round up. (790,000). If it's 4 or below, keep it as is.
Which expression describes the area in square units of a rectangle has a width of 4x^3y^2 and a length of 3x^2y^3
Area is length x width:
4x^3y^2 x 3x^2y^3
Apply the exponent rule: a^b x a^c = a^(b+c)
4 x 3 = 12
x^3 x x^2 = x^5
y^2 x y^3 = y^5
Combine for final answer: 12x^5y^5
Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x
Answer:
D. 9.1 – 10 = 0.2x
Step-by-step explanation:
I got it right
The odd equation with a different value is equation d
Data;
9.1 = -0.2x + 1010 = 9.1 + 0.2x10 - 0.2x = 9.19.1 - 10 = 0.2xLinear EquationTo solve this problem, we have to solve each of the linear equations and get the value of x.
a)
[tex]9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5[/tex]
b)
[tex]10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\[/tex]
c)
[tex]10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5[/tex]
d)
[tex]9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5[/tex]
The odd equation with a different value is equation d
Learn more on linear equation here;
https://brainly.com/question/1884491
Each side of a square is lengthened by 2 inches. The area of this new, larger square is 64 square inches. Find the length of a side of the original square.
Answer:
48 is the answer
Step-by-step explanation:
we have to do like that
we have to subtract 64 by 16
because every side was increased
by 2 so we have to subtract and you
will get answer as 48
please follow me
ASAP!!! Tell me the lengh and width and i will give you branilest!
Answer:
The length of the drawing is 10 centimeters and the width is 6 centimeters.
Step-by-step explanation:
500/50= 10 1*10=10 so the length is 10
300/50=6 1*6=6 so the width is 6.
6/15 * 1/2 =
Help please
what are the domain and range for each of the following functions
Answer:
a.) DomainL: -2 ≥ x < 1 Range: 1 ≥ y < 2
b.) DomainL: -2 > x < 2 Range: -2 > y < 2
Step-by-step explanation:
look up what the open and closed dots mean
understand how to determine values on the y or x axis
please help! Evaluate the following function.
f(x) = -x – 8 for f(-1)
Answer:
x - 8
Step-by-step explanation:
Plug in -1 for x and you get x - 8
Alan takes 3 minutes to draw a picture. Beatrice takes 4 minutes to draw a picture. If Alan and Beatrice start drawing pictures at the same time, how long will they draw before they can complete a picture at the same time?
Answer:
12 minutes
Step-by-step explanation:
alan: 3, 6, 9, 12
beatrice: 4, 8, 12, 16
Both times meet at 12 minutes.
Divide.
2 3
3 4.
pls and thank you
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} / \frac{3}{4} \\=\frac{2}{3} * \frac{4}{3} \\=\frac{8}{9}[/tex]
Help quick
(7u2+21u)÷(u+3)
Answer: it should be 11.infinite 6
Step-by-step explanation:7x2=14+21=35
35/3 = 11.infinite 6
So basically 11.6
PLS GO FAST I WILL GIVE BRAINLIEST
What is this number worth in scientific notation 1.2675e+37
Answer:
1.2675e37. I don't know if this is correct I used a stupid calculator
In simplest form I think the answer is 40.44542221
The quotient of a number and 3 minus two is at least -12.
Step-by-step explanation:
The problem would translate to this:
[tex]\frac{x}{3} -2 \geq -12[/tex]
Then add 2 to both sides.
[tex]\frac{x}{3}\geq -10[/tex]
Then multiply both sides by 3.
[tex]x\geq -30[/tex]
X is less than 7 and greater than -7
Answer:
False
Step-by-step explanation:
& is greater that 7 because you are going back to the nmber like in the negatives
What is five to the second power in expanded form
Answer:
20+5
Step-by-step explanation:
Becvause 5 to the second power is 25 and 25 in expanded form is 20+5
HOPE THIS HELPS