Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar. Kareem served 2 times as
many orders as Lamar. How many orders did they each serve?

Answers

Answer 1

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.


Related Questions

Hewo can anyone help

Answers

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:

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

Answers

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 = 0.2x

Linear Equation

To 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

Help quick
(7u2+21u)÷(u+3)

Answers

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

Answers

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

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?

Answers

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).

Need HELP ASAP I WILL MARK BRAINLIEST
REWARD=Points and brainliest

Answers

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

It the second picture it seems as if you need to find out the transitions of its angle.

4 ten thousands 4 thousands x10

Answers

(10,000 x 4) (4,000 x 10)

If you loan $500 to a friend for 6 months and charge $50 total
in interest, what is the annual simple interest rate?

Answers

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

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

Answers

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

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.

Answers

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

What is the equation for the area of the parallelogram? 3x + x = 74 x + 3x + 74 3x • 74 = x x • 3x = 74

Answers

Answer:

x • 3x = 74

Step-by-step explanation:

Answer:

its D ;D

Step-by-step explanation:

6/15 * 1/2 =

Help please

Answers

The answer is 0.2 because you multiply
6/15 * 1/2 = 1/5

Reduce the numbers with the greatest common factor *cross cross* ex. 6 divided by 2 go into each other which =3
3/15 go into 3(5) 3divided by 3 = 1 15/3=5
= 1/5

What is five to the second power in expanded form

Answers

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

6/9​ 9/12 wich one is bigger

Answers

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.

The quotient of a number and 3 minus two is at least -12.​

Answers

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]

8.9+3.47 i really need help

Answers

the answer is 12.37 hope this helps

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

Answers

She has completed 80%

ASAP!!! Tell me the lengh and width and i will give you branilest!

Answers

The length is 500 cm and the width is 300 cm :)

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.

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

Answers

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

what are the domain and range for each of the following functions​

Answers

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

What is 3(4p - 2) + 2 (5p + 2)

Answers

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

Answers

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 :)

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?​

Answers

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

Answers

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]

What is the volume of the rectangular prism below?
2 cm
4 cm
4 cm
64 cm 3
20 cm 3

Answers

32 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

Due today please help

And also explain​

Answers

9) 24 pounds = 10.89 kilograms

1 pound is equal to 0.45359237 kilograms. To convert pounds to kilograms, simply multiply the pounds by 0.45359237

10) 7 gallons = 26.5 liters

1 US Gallon is equal to 3.785 liters. To convert gallons into liters, simply multiply the gallons by 3.785

Answer:

Step-by-step explanation:

please help! Evaluate the following function.
f(x) = -x – 8 for f(-1)

Answers

Answer:

x - 8

Step-by-step explanation:

Plug in -1 for x and you get x - 8


Find the sum of 1.3 + 0.4

Answers

Answer:

1.7

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

its common sense

785,621 rounded to the nearest ten thousand

Answers

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.

X is less than 7 and greater than -7

Answers

Answer:

False

Step-by-step explanation:

& is greater that 7 because you are going back to the nmber like in the negatives

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