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Serga [27]
3 years ago
6

Expand and simplify 4(2x+3)+ 4(3x+2)

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

20x + 20

Step-by-step explanation:

4(2x+3)+ 4(3x+2)

Expand the brackets.

8x + 12 + 12x + 8

Now simplify.

20x + 20

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Flights 104 and 217 are both approaching Norfolk International Airport from opposite directions at the
Nadusha1986 [10]

Answer:

5

8

Step-by-step explanation:

5 0
3 years ago
You are charged 6% sales tax. You purchase a new bicycle and pay $27 in sales tax. What is the purchase price of the bicycle?
mote1985 [20]
To get the answer to this, you would have to multiply 0.06 by 27. The answer would be $28.62.
3 0
3 years ago
4. Find area of irregular shape <br><br><br> 5. Find area of BLUE portion of shape
lisov135 [29]

Answer:

4. Option 3: 65.1 cm^2

5. Option 3: 3.4 inches^2

Step-by-step explanation:

<u>Question 4 :</u>

We can see that there is a rectangle and a half circle in the picture.

So we will find the area of both separately

For the area of rectangle

Area=length*width

=8*5

=40 cm^2

We know that the line which is representing the diameter has length 8 cm

To find the radius

r=d/2

=8/2

=4 cm

As we cannot find the area of half circle, we will find the area of full circle and will divide it in half.

So,

area= πr^2

=3.14*(4)

=3.14*16

=50.24 cm^2

Area of half circle=(Area of full circle)/2

=50.24/2

=25.12 cm^2

So the area of shape will be

Area of rectangle+area of half circle

=40 cm^2+25.12 cm^2

=65.12 cm^2

Rounding off to nearest 10 will give 65.1 cm^2

So, option 3 is the correct answer ..

<u>Question 5 :</u>

To find the area of shaded region we have to find the area of circle and area of square in which it is inscribed

So,

area of circle= πr^2

=3.14*(2)^2

=3.14*4

=12.56 inches^2

And to find the area of square we need one of its side, we can clearly see that the diameter of circle will be equal to the side of square

So,

Side of square=s=r*2

=2*2

=4 inches

Area of square=s^2

=4^2

=16 inches^2

To find the area of shaded region we have to subtract the area of circle from the area of square

So,

Area of Shaded Region=Area of Square-Area of Circle

=16-12.56

=3.44 inches^2

Rounding off to the nearest 10 will give 3.4 inches^2 ..

So, option 3 is the correct answer ..

7 0
3 years ago
Help me with this algebra problem. Thank you :)
nata0808 [166]
To solve this problem you must apply the proccedure shown below:

 1. You must make a system of equations, as below:

 2. Let's call:

 x: the number of first class tickets bought.
 y: the number of coach tickets bought.

 3. Then, you have:

 x+y=7 (First equation)
 970x+370y=3790 (Second equation)

 x=7-y

 4. By substitution, you have:

 970x+370y=3790
 970(7-y)+370=3790
 y=5

 x=7-y
 x=7-5
 x=2

 Therefore, the answer is:

 - Number of first class tickets bought=2

 - Number of coach tickets bought=5
 
5 0
3 years ago
Briefly explain how multiple regression enhances the two primary purposes of regression analysis.
maria [59]

The statistical goal of multiple regression analysis is to build a linear equation model that identifies the optimal weighted linear combination of independent variables in the study in order to optimally predict the reference variable.

Regression analysis is usually performed for one of two purposes. Predicting the value of the dependent variable of a person whose information about the explanatory variable is available, or estimating the effect of the explanatory variable on the dependent variable.

In multiple regression analysis, researchers can determine the strength of the relationship between the outcome (dependent variable) and multiple predictors, and the importance of each predictor in the relationship, often the effect of other predictors. It can be evaluated by statistically eliminating it.

Learn more about multi regression model here: brainly.com/question/17844286

#SPJ4

3 0
2 years ago
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