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pogonyaev
3 years ago
12

Molly is an insurance agent. She is mailing packages filled with marketing items to a few of her clients. The items she is inclu

ding are pens that weigh x ounces, notepads that weigh y ounces, and magnets that weigh z ounces: A package filled with 3 pens, 2 notepads, and 1 magnet weighs 8 ounces. A package filled with 2 pens, 1 notepad, and 2 magnets weighs 3.9 ounces. A package filled with 4 pens and 3 magnets weighs 4 ounces. Which matrix equation can be solved to find the weight of each item?
Mathematics
2 answers:
Greeley [361]3 years ago
6 0

Answer:

Molly is an insurance agent. She is mailing packages filled with marketing items to a few of her clients. The items she is including are pens that weigh x ounces, notepads that weigh y ounces, and magnets that weigh z ounces: A package filled with 3 pens, 2 notepads, and 1 magnet weighs 8 ounces. A package filled with 2 pens, 1 notepad, and 2 magnets weighs 3.9 ounces. A package filled with 4 pens and 3 magnets weighs 4 ounces. Which matrix equation can be solved to find the weight of each item

Step-by-step explanation:

i wish i could help

ch4aika [34]3 years ago
5 0

Answer:

3 2 1 x 8

2 1 2 y = 3.9

4 0 3 z 4

Step-by-step explanation:

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PEOPLE WHO ARE GOOD AT MATH CAN YOU PLEASE HELP ME!!!
OlgaM077 [116]

The cost of using 19 HCF of water is $32.49

Given in the question:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

The cost for using 17 HCF of water is using $32.13

and, the cost of using 35 HCF is $61.83.

To find the cost of using 19 HCF of water.

Now, According to the question:

The cost for using 17 HCF of water is  $32.13

and, the cost of using 35 HCF is $61.83.

To find the slope:

(17, 32.13) and (35, 61.83)

Slope = (61.83 - 32.13)/ (35 - 17) = 1.65

We know that:

Formula of slope :

y = mx + b

32.13 = 1.65 x 17 + b

b = 1.14

The equation will be :

C(x) = 1.65x + 1.14

Now, To find the cost of using 19 HCF of water.

C(19) = 1.65 × 19  + 1.14

C(19) = $32.49

Hence,  the cost of using 19 HCF of water is $32.49.

Learn more about Slopes at:

brainly.com/question/3605446

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6 0
1 year ago
Vanessa started with $800 in a bank account that does not earn interest. In the middle of every month, she withdraws 14 of the a
Nataliya [291]
An =800 *an-1 an a1=14
3 0
3 years ago
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a
Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force (\vec F), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

\vec F =  \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right) (1)

Vector (ordered pair - polar form)

\vec F = \left(\|\vec F\|, \theta\right)

Sum of vectorial components (linear combination)

\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j} (2)

Where:

\|\vec F\| - Norm of the vector force, in newtons.

\theta - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

\hat{i}, \hat{j} - Orthogonal axes, no unit.

If we know that \|\vec F\| = 30\,lbf and \theta = 25^{\circ}, then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

8 0
2 years ago
Help pls this has been bugging me for so long and I need the quickest answers please I need answers done by 12:24 nothing to rus
Yanka [14]

Answer:

I'm pretty sure its 350mL

6 0
3 years ago
Suppose you took two number cubes and pick a letter of the alphabet at random. Find the probability you roll 2 even numbers and
Fofino [41]
The answer will be 1/12
7 0
3 years ago
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