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2 years ago

Use the three steps to solve the problem.

Mathematics

1 answer:

VladimirAG [237]2 years ago

3 0

Answer:

The answers in numerical order are 4, 9.

Step-by-step explanation:

i)Let the two required numbers be x, y .

ii) It is given that x = y + 5

iii) it is also given that x + y = 3y - 3.

iv) substituting the value of x from ii) in equation iii) we get

(y + 5) + y = 3y - 3 ⇒ 2y = 8 ∴ y = 4

v) Substituting the value of y from equation iv) in equation ii) we get

x = 4 + 5 = 9

vi) The answers in numerical order are 4, 9.

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Helpp!!!!! i will mark as brainliest !! solve question i and ii

melomori [17]

Answer:

(i) Lowest Temperature: Warsaw

Highest Temperature: Cairo

(ii) 27.1 + 35.2 = 62.3°C

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3 years ago

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[3] Find the Social Security tax of 6.2% on $36,511.98

puteri [66]

Answer:

2263.74

Step-by-step explanation:

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2 years ago

Work out 12+8÷(9-5) 0.018÷0.06 Express as single fraction 5/7÷2/5

Anettt [7]

Step-by-step explanation:

I don't know if the first set of numbers is all in one set, but I'll do my best to give you an answer.

Really all you need to do is use PEMDAS for the first question.

(Parentheses, exponents, multiply, divide, add, subtract. In that order)

$1 2 + 8 \div (9 - 5) \\ 12 + 8 \div 4 \\ 12 + 2 \\ 14$

Then to simplify that fraction next to it, notice that 0.018 is 3x 0.06.

that's a 3:1 ratio, so it ends up simplifying to this:

$\frac{3}{1}$

Lastly, to solve the division of that fraction. If you divide by a fraction, you multiply whatever it's dividing by its inverse.

So...

$\frac{5}{7} \div \frac{2}{5} \\ \frac{5}{7} \times \frac{5}{2} \\ \frac{25}{14}$

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3 years ago

Write the first 4 multiples of 3/8

sesenic [268]

Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

Find the union of these primes.

2,2,2,32,2,2,3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

3 0

2 years ago

Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value

MArishka [77]

Answer:

y = 81-x
the domain of P(x) is [0, 81]
P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

Given

x plus y equals 81
x and y are non-negative

Find

P equals x squared y is maximized

Solution

a. Solve x plus y equals 81 for y.

y equals 81 minus x

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

P equals x squared left parenthesis 81 minus x right parenthesis

c. Find the domain of the function P found in part b.

left bracket 0 comma 81 right bracket

d. Find dP/dx. Solve the equation dP/dx = 0.

P = 81x² -x³

dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

P is maximized at (x, y) = (54, 27).

7 0

2 years ago