1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sladkih [1.3K]
3 years ago
7

A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of produc

t X
and $0.04 per item to ship product Y. If the total shipping cost is $352, which system of equations can be used to determine
how much of product X and product Y the store owner bought?

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

Answer:

0.1x+0.04y=4,000

x+y=352

Step-by-step explanation:

You might be interested in
Wich one is cheer to buy 20 for 4.40 or 24 for 4.80
lawyer [7]
4.4/20=0.22 per item 4.8/24=0.2 per item Answer: 24 for 4.80
6 0
3 years ago
Find the quotient.<br><br> 315<br> 33
suter [353]

Answer:

9.54545454545

Step-by-step explanation:

Quotient means the answer when you divided something so I'm assuming you meant divide 315 by 33.

7 0
3 years ago
Read 2 more answers
Sari has a bag containing 6 half-dollar and 3 dollar coins.what is the total mass of the coins in saris bag?
Nataly_w [17]
6 half dollar coins would= $3.00 so you would add $3.00+$3.00=$6.00
5 0
3 years ago
Read 2 more answers
Find the equation of the line
wel
The slope is -1/4 and the y intercept it -6
3 0
3 years ago
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
Other questions:
  • Javier rode his bike for a total of 41 minutes. Before lunch, he rode 1 minute less than 5 times the number of minutes he rode a
    9·1 answer
  • A scientist uses an electron microscope to look at tiny structures called stereocillia, which sits in top of hair cells. The dia
    6·1 answer
  • Sally needs 2 1/4 cups of flour to make her cake. She has 1 3/8 cups of flour. How much flour will she need to borrow to have en
    14·2 answers
  • What is 8+2g, when g= 4.1
    10·2 answers
  • 3(12-8)/2*5-4 simplify or evaluate the following expressions
    5·1 answer
  • What is the answer to Justin is 2 years older than one third Marcella's age?
    6·1 answer
  • 17) Given f(x) = 2x + 4, if the output is 12, what is the input? (Solve for x)
    15·1 answer
  • You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candl
    6·1 answer
  • What is 3y to the second power
    10·2 answers
  • The length of the base of a parallelogram is 21 inches. The parallelogram has an area of 357 square inches. What is the height o
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!