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2 years ago

The total price for a computer and a

Mathematics

1 answer:

8_murik_8 [283]2 years ago

3 0

Answer:

$289

Step-by-step explanation:

If you know the cost of one of the two items, you can subtract that item from the total in order to find the price of the second item

So: total price - computer price = printer cost

So: $1039- $750 = $289

The printer is $289

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A tank initially contains 60 gallons of brine, with 30 pounds of salt in solution. Pure water runs into the tank at 3 gallons pe

adoni [48]

Answer:

the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.

Step-by-step explanation:

The variation of the concentration of salt can be expressed as:

$\frac{dC}{dt}=Ci*Qi-Co*Qo$

being

C1: the concentration of salt in the inflow

Qi: the flow entering the tank

C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)

Qo: the flow going out of the tank.

With no salt in the inflow (C1=0), the equation can be reduced to

$\frac{dC}{dt}=-Co*Qo$

Rearranging the equation, it becomes

$\frac{dC}{C}=-Qo*dt$

Integrating both sides

$\int\frac{dC}{C}=\int-Qo*dt\\ln(\abs{C})+x1=-Qo*t+x2\\ln(\abs{C})=-Qo*t+x\\C=exp^{-Qo*t+x}$

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

$C(0)=exp^{-Qo*0+x}=0.5\\exp^{x} =0.5\\x=ln(0.5)=-0.693\\$

The final equation for the concentration of salt at any given time is

$C=exp^{-3*t-0.693}$

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

$C=exp^{-3*t-0.693}\\(23/60)=exp^{-3*t-0.693}\\ln(23/60)=-3*t-0.693\\t=-\frac{ln(23/60)+0.693}{3}=-\frac{-0.959+0.693}{3}= -\frac{-0.266}{3}=0.088$

5 0

2 years ago

Which of the following represents the additive inverse of <img src="https://tex.z-dn.net/?f=2%2F3" id="TexFormula1" title="2/3"

PolarNik [594]

C)-2/3is the answer because when your have 2/3+-2/3 will equal 0 in which justifies the additive inverse

7 0

2 years ago

Read 2 more answers

Someone please do 1-8 I will give brainliest

Firlakuza [10]

1.
2. Common sense property
3. Distributive property…
4. Is transitive property
6. Relfexive
Brainliest woooo

7 0

2 years ago

A parallelogram has sides of lengths 9 and 8, and one angle is 44°. What is the length of the smaller diagonal? length = units W

DIA [1.3K]

Answer:

The length of the smaller diagonal is d_1 = 6.44 units

The length of the longer diagonal is d_2 = 15.77 units

Step-by-step explanation:

Given: A parallelogram has sides of lengths 9 and 8, and one angle is 44°.

We can use the cosine formula to find the measures of the diagonals.

The cosine formula is $a^2 = b^2 + c^2 - 2bc (cos A)\\$

We can divide the parallelogram into two equal triangles.

<u>Triangle 1</u>

Which has the two sides measures 9 and 8 and including angle is 44°.

If we are given two sides and one angle, we can use the cosine formula and find the third side. Here third side is diagonal 1.

$d_1^2 = 9^2 + 8^2 - 2*9*8 cos(44)\\d_1^2 = 81 + 64 - 103.58\\d_1 = 145 - 103.58\\d_1^2 = 41.42$

Taking square root on both sides, we get

$d_1 = 6.44$ [Rounded to the nearest hundredths place]

<u>Triangle 2</u>

It is a parallelogram, the opposite sides are equal. Therefore, the another triangle has equal measures but angle differs.

The adjacent angles in a parallelogram add upto 180°.

Therefore, the angle measure is 180 - 44 = 136°.

Now let's use the cosine formula and find the measure diagonal 2.

$d_2 ^2 = 9^2 + 8^2 - 2*9*8*cos 136\\d_2^2 = 81 + 64 - (-103.58)\\d_2^2 = 145 + 103.58\\d_2^2 = 248.58$

Taking the square root on both sides, we get

$d_2 = \sqrt{248.58} \\d_2 = 15.77$ [Rounded to the nearest hundredths place]

So the length of the smaller diagonal is d_1 = 6.44 units

the length of the longer diagonal is d_2 = 15.77 units

7 0

2 years ago

Jayden has x nickels and y pennies. He has at most 14 coins worth no less than $0.34 combined. Solve this system of inequalities

oee [108]

Answer:

Step-by-step explanation:

Number of nickels with Jayden = x

Number of pennies with Jayden = y

Since, number of coins is at most 14,

x + y ≤ 14 -------(1)

Worth of nickels = $0.05x

Worth of pennies = $0.01y

Since, worth of pennies is not less than $0.34,

0.05x + 0.01y ≥ 0.34

5x + y ≥ 34 --------(2)

By using a graphing calculator,

Common point of of both the inequalities is (5, 9)

Therefore, Number of nickels = 5

Number of pennies = 9

8 0

2 years ago