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3 years ago

Find the value of x.

Mathematics

1 answer:

marusya05 [52]3 years ago

3 0

The two angles are vertically opposite when their vertexs share a common point on a set of two lines that cross.

2x + 8 = 70 Subtract 8 from both sides

2x + 8 - 8 = 70 - 8 Combine

2x = 62 Divide by 2

2x/2 = 62/2

x = 31 <<<<< Answer

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Parker and Company pays Selma Stokes on a variable commission scale. In a month when Selma had net sales of $155,000, what was h

docker41 [41]

Answer:

$9275

Step-by-step explanation:

Selma earns 5% on the first $40,000, which is $2000.

She earns 5.5% on the next $35,000, which is $1925.

She earns 6% on the next $25,000, which is $1500.

And she earns 7% on the last $55,000 (the amount over 100,000), which is $3850.

Altogether, Selma's commission is ...

... $2000 +1925 +1500 +3850 = $9275.

_____

<em>Comment on the sliding scale</em>

Each of the segments of this sliding scale could be rewritten to simplify its computation. For example, for amounts above $100,000, the formula could be either of ...

7% of the amount over $22,500
7% of sales, less $1575.

5 0

3 years ago

PLEASE HELP {It costs 5,700 every one sixth of an hour to build a hotel how many cents does building a hotel cost per second?}

Keith_Richards [23]

One sixth of an hour is 10 minutes.
That means it costs 5,700 every 10 minutes.

Costs 5,700 = 10 minutes

Dive 10 on both sides.

Costs 570 = 1 minute

Lets convert the minute into seconds.

Costs 570 = 60 seconds

Divide both sides by 60.

Costs 9.5 cents = 1 second

Round it off since you can't pay 9.5 cents.

Costs 10 cents = 1 second

This means that every second they pay 10 cents for the hotel. :D

8 0

4 years ago

HELP ASAP FOR BRAINLIEST: The time required to finish a test is normally distributed with a mean of 60 minutes and a standard de

adelina 88 [10]

Answer: 0.81859

Step-by-step explanation:

Using the formula ;

Z = $\frac{x-u}{standard deviation}$

where u = mean

Therefore the probability that a student will finish the test between 40 and 70 will be :

P ( 40≤X≤70 ) = P(X≤70) - P(X≤40)

P ( 60-40/10) , P( 60 - 70 / 10)

= 2 , -1

= P (Z ≤ 2) - P( Z ≤ -1 )

From normal table , we have

0.97725 - 0.15866

Therefore the probability that a student will finish the test between 40 and 70 minutes = 0.81859

8 0

3 years ago

Please help a student out.Thank you

prisoha [69]

$y = 6tan(\frac{x}{2}) - 3$

Let y = 0, since the x-intercept occurs at y = 0.
$3 = 6tan(\frac{x}{2})$
$tan(\frac{x}{2}) = \frac{1}{2}$
$\frac{x}{2} = tan^{-1}(\frac{1}{2})$
$x = 2tan^{-1}(\frac{1}{2})$

$x = 0.927295218...$

$\text{General form: } x = 0.9273 + n\pi$

We know this because the tangential graph is period every pi radians. The sinusoidal and co-sinusoidal graph are periodic every 2pi radians.

3 0

3 years ago

Please find the surface area of the cone (image attached) and reduce answer to nearest tenth, if necessary.

Luba_88 [7]

Answer:

$S.A = 135.6 yd^2$ (