Which is a reasonable first step that can be used to solve the equation 4 x + 3 (x + 2) = 5 (2 x minus 3)? Distribute the 3 to x + 2, and distribute the 5 to (2x – 3). Combine 4x and x on the left side of the equation. Apply the subtraction property of equality to move the 2 from the left to the right side of the equation. Apply the addition property of equality to move the 3 from the right to the left side of the equation.

Answer:

E. 1/2

Step-by-step explanation:

1/2 as a decimal is .5  

The reason it is not B is because 1/3 as a decimal is a repeating decimal.

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5

Answer:

24 km

Step-by-step explanation:

this is a right triangle

use the pythagorean theorem

a² + b² = c²

a² + 7² = 25²

a² + 49 = 625

Subtract 49 from both sides

a² = 576

Take the square root of oth sides

a = 24

24 km

Answer:

4 x 3.14 x 2 = 25.12 inches

Step-by-step explanation:

Formula of circumference:

3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).

Answer:

irrational is the only correct term because it's not a perfect Square

Answer:

105 wpm

Step-by-step explanation:

Divide 525 by 5 and you have Isabella's typing rate in words per minute: 525

Hope this helps :)

Brainliest?

Answer:

B, C

Step-by-step explanation:

Answer:

9.931 years

Step-by-step explanation:

9514 1404 393

Answer:

  B. infinite set of points on the line

Step-by-step explanation:

The lines are identical, so the set of points they have in common is an ...

  infinite set of points on the line

Answer:

Series A price = SA || Series B price = SB

150SA + 14500SB = 972500

Step-by-step explanation:

Complete question :

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.

Answer:

24.43 feets

Step-by-step explanation:

Using trigonometry :

Sinθ = opposite / hypotenus

Opposite = height, h

Hypotenus = 26

Sin 70° = h / 26

0.9396926 * 26 = h

height, h = 24.43 feets

The sine rule is the ratio of the height and hypotenuse. Then the height of the wall is 24.43 ft.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

Dion places a ladder against the side of his house as shown in the diagram below.

Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero.

We have

Hypotenuse (H) = 26 ft

Let h be the height of the la

Then the height of the wall will be given by the sine rule.

[tex]\rm h = H sin \ \theta \\\\h = 26 * sin \ 70^o\\\\h = 24.43 \ ft[/tex]

The height of the wall is 24.43 ft.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Given:

The term is [tex]\sqrt{-80}[/tex].

To find:

The simplified form of the given term in terms of i.

Solution:

We have,

[tex]\sqrt{-80}[/tex]

It can be written as:

[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]

[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]

[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex]         [tex][\because \sqrt{-1}=i][/tex]

On further simplification, we get

[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\sqrt{5}i[/tex]

Therefore, the required term is [tex]4\sqrt{5}i[/tex].

Answer:

x = -5

Step-by-step explanation:

The ( x , y ) values = ( -5 , 20 )

attached below is the schematic representation of the solution

following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5

Answer: 13/24

Step-by-step explanation:

Number of leather belts = 4

Number of plastic belts = 3

Number of canvas belts = 10

Number of rubber belts = 6

Number of denim belt = 1

Total belts = 24

The probability of choosing a plastic belt and then a canvas belt will be:

= P(plastic) + P(canvas)

= 3/24 + 10/24

= 13/24

Answer:

qw

Step-by-step explanation:

w

Answer:50

Step-by-step explanation:

Answer:

15 and a half days

Step-by-step explanation:

Since they earn $12's each day you would do $186 divided by $12 which would be 15.5 so it would take them 15 and a half days to raise $186.

Answer:

Sorry if this is late, but I hope you understand now.

Step-by-step explanation:

It's 16 days actually, if you divide 186 divided by 12, it's 15.5 we can say, that 5 should be rounded up or down. 15.5 is a fraction of 15/5 so if we rounded it, it would be 16. That's our newer version of rounding. 5 is higher, 4 is lower. Use that to help you :) I hope you understand even though it late

Answer:

4

Step-by-step explanation:

substitute the given coordinates of J(3-6) and K(-1,-6) into the distance formula:

=> d = [tex]\sqrt{(-1-3)^{2} + (-6 + 6)^{2}}[/tex]

=> d = [tex]\sqrt{16 + 0}[/tex]

=> d = 4

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

Answer:

115 miles

Step-by-step explanation:

Given that :

Speed of airplane = 460 miles per hour

Distance traveled in 15 minutes

Time = 15 minutes ; time in hours = 15 / 60 = 0.25 hours

Recall:

Distance = speed * time

Distance = 460 * 0.25

Distance = 115 miles

Answer:

Tanya must walk 15 dogs

Step-by-step explanation:

10.50x=157.50

x=157.50/10.50

x=15

Answer:

A'=(5/2,-5/2)

therefore A'(2.5,-2.5)

Step-by-step explanation:

Answer:

The estimate of the proportion of all students that prefer to use a metal pen is 0.4.

Step-by-step explanation:

The estimate of the proportion is the sample proportion.

In the sample:

10 students

4 use a metal pen. So

[tex]p = \frac{4}{10} = 0.4[/tex]

The estimate of the proportion of all students that prefer to use a metal pen is 0.4.

Answer:

28

Step-by-step explanation:

x,y

X+y=11

X-y=3

x=y+3

y+3+y=11

2y=8

y=4

X=7

Xy=28

Answer:

7+4=11

7-4=3

7×4=28

Step-by-step explanation:

...................................

Answer:

x = 65°

y = 25°

Step-by-step explanation:

x = 180-115 which equals 65°

y = 180-(90+65) which equals 25°

Answer: 4.34

Step-by-step explanation: