The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each. The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45. How many packages of each size were shipped?

Answers

Answer 1

Given :

The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each.

The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45.

To Find :

How many packages of each size were shipped.

Solution :

We know, 1 pound = 16 ounces.

So, 20 pound = 20×16 = 320 ounces.

Let, number of large and small box are l and s.

So,

25l + 6s = 327 ...1)

0.45s + 1.20l = 18.45 ...2)

Solving both the equations, we get :

x = 9 and y = 17

Therefore, package smaller and big size are 17 and 9 respectively .

Hence, this is the required solution.


Related Questions

A graph showing an increase in sales over time would have an)
a. positive slope
C.
undefined slope
b. negative slope
d. slope of 0

Answers

Answer:

A positive slope

Step-by-step explanation:

If sales are increasing then the income should increaseing and positive.

CAN SOMEONE HELP ME PLZ ASAP >_<
dont spam ;p

Answers

Answer:

(5, 3)

Step-by-step explanation:

since you're reflecting across the x axis only the (y) value will change and since the y was originally negative (-3), it now becomes positive but doesn't change in value (3).

Help? please...........

Answers

Answer:

F

Step-by-step explanation:

H and J have slopes of 3, not -3, and G has an infinite slope, so it's F

WILL GIVE BRAINLIEST write an equation for the nth term of the arithmetic sequence and find the 100th term 14,19,24,29, ...

Answers

Answer: the nth term of the sequence 14, 19, 24, 29 is: 5n+9 so the 100th term of the sequence will be 509.

explanation below:

Step-by-step explanation:

to find the 100th term we will have to find the nth term of the sequence when we have the nth term we need to replace n with the term we need to find and multiply it with the number behind n then subtract or add the number and u will get ur answer.

I hope this helps

Answer:

an=9+5n

a100=509

Step-by-step explanation:

a1=14

19-14=5

24-19=5

29-24=5

d=5

an=a1+(n-1)d

an=14+(n-1)(5)

an=14 +5n -5

an=9+5n

an=a1+(n-1)(d)

a100=14+(100-1)(5)

a100=14+(99)(5)

a100=14+495

a100=509

or

an=9+5n

a100=9+5(100)

a100=9+500

a100=509

A chain of retail computer stores opened 2 stores in its first year of operation. After 8 years of operation, the chain consisted of 206 stores. If the number of stores opening per year is increasing at an exponential rate, identify the continuous rate of growth. Round k to the nearest hundredth. *

Answers

Answer:

0.66

Step-by-step explanation:

The exponential growth equation is expressed as;

S(t) = S0e^kt

S(t) is the number of stores after t years

S0 is the initial number of stores

If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;

2 = S0e^k(1)

2 = S0e^k .... 1

Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;

206 = S0e^k(1)

206 = S0e^8k .... 2

Next is to calculate the value of k

Divide equation 2 by 1;

[tex]\frac{206}{2} = \frac{S0e^{8k} }{S0e^k }\\103 = e^{7k}\\apply \ ln \ to \ both \ sides\\ln103 = lne^{7k}\\ln103 = 7k\\k = \frac{ln103}{7}\\k = \frac{4.6347}{7} \\k = 0.6621[/tex]

Hence the value of k to the nearest hundredth is 0.66

Twenty times one hundred and one (20 x 101)

Answers

Answer:

2020

Step-by-step explanation:

2020

When a plumber is called, the cost of the service call is $50 for him to show up at your house, plus an additional $25 per hour.
What is the slope ?
y is the total cost of the service call and x is the number of hours the plumber is at your home

Answers

The slope is 25
y=mx+b with m representing slope
y=25x+50

Answer:

The slope is 25

y=mx+b with m representing slope

y=25x+50

Step-by-step explanation:

Use the point-slope equation to identify the slope and the coordinates of a point
on the line y - 4 = {(x - 1).
The slope of the line is
A point on the line is

Answers

Answer:

M=1/2 and 1/4

Step-by-step explanation:

I hope this is what you are asking.

Answer:

Look at step-by--step

Step-by-step explanation:

Answer for edge

1. m= 1/2

2. (1,4)

Tyler thinks that the relationship between the ages of the children in Family B can be described with 2m – 2y = 10, where m is the age of the middle child and y the age of the youngest. Explain why Tyler is right.

Answers

Answer:

m - y = 5 is equivalent to 2m - 2y = 10

Step-by-step explanation:

Given

m = age of middle child

y = age of youngest child

[SEE ATTACHMENT FOR COMPLETE QUESTION]

Required

Explain why Tyler is correct

From the question, we understand that m is 5 greater than y

This can be represented as

m = 5 + y

To explain why Tyler is correct, we simply solve the above expression.

First, subtract y from both sides

m - y = 5

Multiply both sides by 2

2 * (m - y) = 2 * 5

2m - 2y = 10

This implies that m - y = 5 is equivalent to 2m - 2y = 10

And that means, Tyler conclusion is correct

Which ratios are equivalent? Check all that apply.
09:15 and 18:30
21:25 and 30:50
0 3:5 and 5:10
5:6 and 20:24
Please help me I’m in 6th grade

Answers

Answer:

9:15 and 18:30 are equivalent. Both ratios are multiplied by 2

5:6 and 20:24 are equivalent. Both ratios are multiplied by 4

Answer:

09:15 and 18:30 and 5:6 and 20:24

Step-by-step explanation:

9+9 = 18 and 15 + 15 = 30. Thats how you get 18:30. Next, 5x4 = 20 and 6x4 = 24. 20:24. Hope this helps you :)

a recipe uses 1 and 1/4 of milk to make 10 servings if the same amount of milk is made for each serving how many serving can be made using 1 gallon?

Answers

Answer:

12.8

Step-by-step explanation:

1 1/4 cup of milk? if it is- 16 cups / gal

16/1 1/4 = 12.8 servings

What is the slope 9,8 and 7,-8

Answers

Answer:

y2-y1/x2-x1

Step-by-step explanation:

7-9/-8-8

-2/-16

1/8

F(-8)=7(1-8) answer needed asap

Answers

Answer:

57

Step-by-step explanation:

Which of the following expressions is equivalent to "eight groups of four"?
A 8+4
B. (8 + 4)
C. 8 x 4
D. 4°

Answers

Answer:

Hey mate,here is your answer. Hope it helps you.

Step-by-step explanation:

The answer is c- 8 x 4. As there are 8 groups of 4 the easiest way to calculate is by multiplying them both. Repeated addition is known as multiplication.

PLZ HELP ASAP!!!!!!

Answers

Answer:

radius is 7yd, height is 4 yd, v=3.14 x 7^2 x 4. The last one, I'm not too sure about but it might be V= 615.44^3

Step-by-step explanation:

Solve the system using elimination.
3x+3y = 27
x-3y=-11
O A. (8.1)
O B. (3.6)
O C. (6:3)
O D. (4.5)

Answers

Answer:

B

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Ella purchased 8 passes to the skating rink for $58.00. Each pass cost the same amount. What was the cost of each pass in dollars and cents?

PLZZ HELP!! LAST QUESTION ON MY TEST!!
Is the graph linear or non-linear? Explain your answer.

Answers

Answer:

non linear. its not a straight line. it has curves and breaks.

Step-by-step explanation:

Answer:

Non linear ofc

Linear = straight line

The line on the graph is not straight

Step-by-step explanation:

- Can someone help me please?

Answers

Part A is 12.
Part B is 17.

Jonathan wants to the new baseball game for his game console. The game costs $45.99. Of sales tax is 6%, write an equation to find the total cost of the game, represented as P.

Answers

Answer: See explanation

Step-by-step explanation:

Cost of game = $45.99

Sales tax = 6%

The equation to find the total cost of the game, represented as P will be:

P = 45.99 + (6% × 45.99)

= 45.99 + (0.06 × 45.99)

= 45.99 + 2.7594

= $48.7494

Graph: y + 2= -3/4 ( x+4)

Answers

Answer:

The slope is -3/4 y intercept is (0,-5)

Step-by-step explanation:

X             Y

-20/3       0

0             5  

graph ^

y + 2= -3/4 ( x+4)

Answer:

two points : (0,-5)   ( 4 , -8)

Step-by-step explanation: woof

A clothing store is going out of
business and everything is 75% off.

Answers

Answer:

Cool where the rest of the problem

Step-by-step explanation:

Please kinda urgent! I have to find the slope

Answers

                                       Question 5)

Given the points

(2, 0)(5, 5)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(5,\:5\right)[/tex]

[tex]m=\frac{5-0}{5-2}[/tex]

[tex]m=\frac{5}{3}[/tex]

Therefore, the slope is:

[tex]m=\frac{5}{3}[/tex]

                                          Question 6)

Given the points

(-1, 0)(-2, 3)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)[/tex]

[tex]m=\frac{3-0}{-2-\left(-1\right)}[/tex]

[tex]m=-3[/tex]

Therefore, the slope is:

[tex]m=-3[/tex]

                                       Question 7)

Given the points

(-1, -1)(1, 3)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:3\right)[/tex]

[tex]m=\frac{3-\left(-1\right)}{1-\left(-1\right)}[/tex]

[tex]m=2[/tex]

Therefore, the slope is:

[tex]m=2[/tex]

                                         Question 8)

Given the points

(2, 0)(-2, 4)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex]

[tex]m=\frac{4-0}{-2-2}[/tex]

[tex]m=-1[/tex]

Therefore, the slope is:

[tex]m=-1[/tex]

                                     Question 9)

Given the points

(0, 1)(4, -2)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)[/tex]

[tex]m=\frac{-2-1}{4-0}[/tex]

[tex]m=-\frac{3}{4}[/tex]

Therefore, the slope is:

[tex]m=-\frac{3}{4}[/tex]

                                        Question 10)

Given the points

(0, 2)(1, -3)

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-3\right)[/tex]

[tex]m=\frac{-3-2}{1-0}[/tex]

[tex]m=-5[/tex]

Therefore, the slope is:

[tex]m=-5[/tex]

–9.4 >(greater than or equal to) 1.7x + 4.2.

Answers

Answer:

negative 8

Step-by-step explanation:

Answer:

A, or x < -8 (:

Step-by-step explanation:

can someone explain this to me:)​

Answers

Answer:

B) m = 2 , b = -3

Step-by-step explanation:

b = y-intercept

The y-intercept is -3

b = -3

m = slope

The slope is 2

m = 2

I think m = x and b = y, or vice versa

4. A woman is standing 30 feet away from a street light that is six feet taller than three times the height
of her. The length of her shadow is two feet less than twice her height. How tall is she?

Answers

The length of her is 5.5ft


2. Given: m m m Find: m

Answers

Answer:

Take m 3 cube and find m.

A dry cleaner charges $5.00 to clean one item. He offers to clean a second item for $4.50, and a third for $4.00. If he continues to subtract $0.50 for each additional item, how much will it cost to clean six items?


MARKING BRAINLEST IF HURRY

Answers

Answer:$2.50 to clean 6 items

Step-by-step explanation:

$5.00-0.5=$4.5= 2 items

$4.5-0.5=$4= 3 items

$4-0.5=$3.5= 4 items

$3.5-0.5=$3= 5 items

$3-0.5=$2.5= 6 items

5+4.5+4+3.5+3+2.5 = 22.5

I need help With this Math assighnment.

Answers

Answer:

$3.60

Step-by-step explanation:

Hope this helped

Please help me 10 points i just joined today ;)

Answers

Answer:

y=2x+4

Step-by-step explanation:

2 is the slope, you can see that with rise over run. 4 is the y intercept

Answer:

y=2x+4

Step-by-step explanation:

Look at the y-axis if the point that touches the y-axis is 4

Then the slope is 2

you go down 2 which is -2 (Since down is negative)

and you go left 1 which is -1 (Since left is negative)

now the equation looks like this:

y=-2/-1x+4

Simplify: (negative and negative cancel each other out making it positive)

y=2x+5

9. Which of the following triplets are Pythagorean?
(i) (10,24,26)
(ii) (14,48,50)
(iii) (18,79,82)
(iv) (22,120,122)​

Answers

Answer:

i, ii, iv

Step-by-step explanation:

A Pythagorean triplet satisfies the relation:

[tex]\boxed{a^2+b^2=c^2}[/tex]

[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]

[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]

[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]

[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]

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