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3 years ago

Expand and Simplify 2(X-2)+4(5X-6)

Mathematics

1 answer:

Luba_88 [7]3 years ago

5 0

2(x-2)+4(5x-6) Expand brackets 2x-4+20x-24 Group similar terms 22x-28 Factorise 2(11x-14)

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Sonia earned $2,100 at her uncle's orchard. If she worked for 70 weeks and earned the same amount of money each week, how much d

Drupady [299]

Answer:

Step-by-step explanation:

She earned 30$ a week(Brainlyest?)

7 0

3 years ago

Read 2 more answers

The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,

Sedbober [7]

Answer:

Money raised by each team = 94 + 11 = $105

Number of cars washed = 11

Step-by-step explanation:

Money already present with volleyball team = $50

Money raised by washing each car by volleyball team = $5

Let the number of cars washed = $x$

Money raised by washing cars = $5 $x$

Money already present with volleyball team = $94

Money raised by washing each car by volleyball team = $1

Money raised by washing cars = $1 $x$ = $ $x$

Given that, both the teams have raised same amount of money:

$50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11$

Money raised by each team = 94 + 11 = $105

Number of cars washed = 11

4 0

4 years ago

Mike has a collection of 140 canada stamps ,284 mexico stamps and 775 united states stamps about how many united states and cana

Doss [256]

Answer:

915 stamps

Step-by-step explanation:

140 + 775 = 915

4 0

3 years ago

Sally is interested in taking a job in a city in which she's not familiar with the cost of living. She is especially concerned a

Salsk061 [2.6K]

Answer:

a. Mean

Step-by-step explanation:

We have been given that the Sally is interested in taking a job in a city in which she's not familiar with the cost of living. She is especially concerned about the cost of housing and is interested in the average cost of a three bedroom home.

We know that in a normal distribution all central tendencies (mean, mode, median) are equal.

When a very large or very small valued data point is added to data set, mean is mostly affected by that outlier.

We know that mode of a data set is the point that appears at-most in the data set, so outliers doesn't affect mode.

Median of a data set is less affected by outliers.

The price of the three bedroom homes owned by millionaires will be greater than prices of houses owned by people in the neighborhood.

Therefore, mean will be most influenced by three bedroom homes owned by millionaires.

7 0

3 years ago

Write each of the following as a function of theta. 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

3 years ago