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leva [86]
2 years ago
9

Solve the problem 2/3(6x+30)=x+5(x+4)-2x

Mathematics
1 answer:
azamat2 years ago
4 0

Answer:

60

Step-by-step explanation:

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Giselle works as a carpenter and as a blacksmith.
seropon [69]

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

3 0
2 years ago
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr
fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0
3 years ago
A,B,C,D are points on the circumference of a circle centre o
Marina86 [1]

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

<h3>How to determine the measure of angle BAD?</h3>

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

Read more about angle measures at:

brainly.com/question/17972372

7 0
2 years ago
Susie is paying $555.26 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay ove
andrey2020 [161]

Answer:

$49,893.6

Step-by-step explanation:

$555.26/mo(30yr)(12 mo/yr) - $150000 = $49,893.6

5 0
2 years ago
What's meen by Friday
spayn [35]
It's the day of the week after Thursday and b4 Saturday
3 0
3 years ago
Read 2 more answers
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