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3 years ago

28x + 24y + 40 hurry

Mathematics

1 answer:

Pavel [41]3 years ago

3 0

Answer:

4(7x+6y=10)

Step-by-step explanation:

ask in comments for steps if you need them

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Carlos has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite

Alex_Xolod [135]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

4 0

3 years ago

What is the surface area of the right prism below?

-Dominant- [34]

Answer:

120 sq. units

plus them all and add 100

3 0

2 years ago

Read 2 more answers

A bank is offering you an introductory credit card promotion. Your interest for the first year is 8%. But, at the beginning

Art [367]

Answer:

c) $22.50

Explanation:

<u>1. Calculate the monthly interest owed during year 1</u>

<u />

<em>Interest for first year: 8%</em>

The monthly rate is the yearly rate divided by 12: 8% / 12 = 0.08/12

The monthly interest owed is the monthly rate times the balance: (0.08/12)×$1,800 = $12.00

<u>2. Calculate the monthly interest owed during year 2</u>

<u />

<em>Interest for second year: 23%</em>

The montly rate is the yearly rate divided by 12: 23% / 12 = 0.23/12

The monthly interest owed is the monthly rate times the balance: (0.23/12)×$1,800 = $34.50

<u>3. Calculate the difference</u>

Difference in the monthly interest owed during year 1 and year 2 = $34.50 - $12.00 = $22.50

Hence, the answer is the option c) $22.50

7 0

3 years ago

The table shows the concentration of a reactant in the reaction mixture over a period of time.

saveliy_v [14]

<h3>Option C</h3><h3>The average rate of the reaction over the entire course of the reaction is: $2.0 \times 10^{-3}$ </h3>

<em><u>Solution:</u></em>

Average rate is the ratio of concentration change to the time taken for the change

$Average\ rate = \frac{ \triangle c }{\triangle t }$

The concentration of the reactants changes 1.8 M to 0.6 M

here, the time interval given is 0 to 580 sec

Therefore,

$Average\ rate = \frac{1.8-0.6}{580} \\\\Average\ rate = \frac{1.2}{580} \\\\Average\ rate \approx 2.0 \times 10^{-3}$

Thus option C is correct

5 0

3 years ago