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3 years ago

Simplify the expression (x - 2y) + (3x + 4y)

Mathematics

1 answer:

CaHeK987 [17]3 years ago

8 0

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

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Your firm wants to investigate how much money the typical tourist will spend on their next visit to New York. How many tourists

snow_lady [41]

Answer: 46

Step-by-step explanation:

Given : Margin of error : E= 17

Standard deviation : $\sigma=70$

Critical value for 90% confidence level : $z_{\alpha/2}=1.645$

Formula to find sample size is given by :-

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

i.e. $n=(\dfrac{(1.645)\times 70}{17})^2$

$\Rightarrow\ n=45.880700692\approx46$

Hence, the required minimum sample size = 46.

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3 years ago

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Analyze the diagram below and complete the instruction that follow.

monitta

Answer:

x=10

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

7x-3 + 12x-7 = 180

Combine like terms

19x-10 = 180

Add 10 to each side

19x-10+10 = 180+10

19x = 190

Divide by 19

19x/19 = 190/19

x= 10

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3 years ago

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Calculate the perimeter of a rectangle which is eleven metres long and four metres wide.

Leviafan [203]

Step-by-step explanation:

the formulae to find the perimeter of a rectangle is p = 2(l+w)

<em>where</em>

p= perimeter

L = length

W = width

just add the length and width {given in the question} , and multiply them by 2

answer: = 2(11+4)

= 2 × 15

= 30 m

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3 years ago

At the start of the year a summer holiday to Spain cost £650. It increased by 11% in

olga nikolaevna [1]

Answer:

Final cost = £779

Step-by-step explanation:

It is given that:

Cost of summer holiday = £650

Amount increased by 11%

Increased cost = 11% of 650

Increased cost = $\frac{11}{100}*650$

Increased cost = 0.11 * 650 = £71.50

Amount after increment = 650 + 71.50 = £721.50

Further increase = 8%

Amount = 0.08 * 721.50 = £57.72

Final cost = 721.50 + 57.72 = £779.22

Thus,

Final cost = £779

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3 years ago

In a direct variation, the constant of proportionality is -3. Which of the following would be its equation?

saw5 [17]

Answer:

Step-by-step explanation:

The equation of direct variation is y=kx.

K is the constant of proportionality, which is in this case is -3.

y=-3x

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3 years ago