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Over [174]
2 years ago
8

2x+y=5 , 3x+2y=8 solve using cross multiplication​

Mathematics
1 answer:
Xelga [282]2 years ago
5 0

Answer:

x=2

y=1

Step-by-step explanation:

2x+y=5

3x+2y= 8

<=> 6x+3y=15

6x+4y=16

<=> -y=-1

2x+y=5

<=> y=1

2x+1=5

<=> y=1

2x=4

<=> y=1

x=2

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What is the present value of $4,900 per year at a discount rate of 10 percent if the first payment is received 6 years from now
Nesterboy [21]

Answer:

17640

Step-by-step explanation:

at a discount of 10% per year $4900 is equal to $490 per year

payment started 6 years ago from now and ended 20 years from now

therefore there is an accumulation of 26 years

for 26 years = 26 *$490= $12740

present value therefore = $4900+$12740=$ 17640

4 0
3 years ago
Eddie needs 2 2/3 cups of flour for one batch of pancakes. How much flour does he need for 2 1/2 batches?
Alexxandr [17]

for 1 batch of pancake = 2 2/3 = 8/3 cups

for 2 1/2 = 5/2 pancake = 8/3 * 5/2 = 40/6 cups = 6 4/6 cups

7 0
3 years ago
Read 2 more answers
Steve studies math for 7/8 of an hour and history for 2/3 of an hour. How many hours did he study?
hoa [83]

Answer:

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

Step-by-step explanation:

Find a common multiple of the denominators 3 and 8, which would be 24.  Convert the fractions:

7/8 x 3/3 = 21/24.

2/3 x 8/8 = 16/24

Add the two numerators = 37/24 or 1 13/24.  

1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

8 0
2 years ago
Help on number 2 please
Katarina [22]

Answer:

y=12.73 x=9

Step-by-step explanation:

3 0
3 years ago
A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
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