Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.

SOLVE equations, SHOW WORK, AND EXPLAIN

Answer:

318

Step-by-step explanation:

find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle

Answer:

318 mi²

Step-by-step explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 1 triangle and 2 rectangles (see attachment).

Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22

                             = 1/2 x 19 x 22

                             = 209 mi²

Area of Rectangle 2 = 5 x (11 + 6)

                                  = 85 mi²

Area of Rectangle 3 = 4 x 6

                                  = 24 mi²

Total area = 209 + 85 + 24 = 318 mi²

Since AC = BC, we can say that this triangle is isoceles (at C)

In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.

Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/

Answer:

nearly like 63 or 66

Step-by-step explanation:

use the protractor.

Answer:

2x

Step-by-step explanation:

X = chris's money

2 times chris's money = 2x

Answer:

Its 58

Step-by-step explanation:

2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56

Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

Answer:

23/42 or 0.547619048

Steps are given below in the picture

I hope my answer helps you.

Step-by-step explanation:

$240 for 12 t-shirts.

that means 240/12 = $20 per shirt.

therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.

all the other options use a different unit price.

Answer:

7176

Step-by-step explanation:

23 is a prime factor.

3 & 13 are the prime factors of 39.

2, 2, & 2 are the prime factors of 8.

Determine the max. number of times each prime factor occurs.

Calculate: 2^3 x 3 x 13 x 23 = 7176

Answer:

7,176

Step-by-step explanation:

The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176

Hope this helps!

Answer:

obtuse

Step-by-step explanation:

It is obtuse because it is greater than 90 degrees!

Answer:

82•5°

Step-by-step explanation:

[tex]28 + 68.5 + x = 180[/tex]

[tex]x = 180 - 97.5[/tex]

[tex]x = 82.5[/tex]

Here,

let the forth degree of the quadrilateral be y

Then,

90° +90° +68.5° + y =360° (all the interior angle of a quadrilateral is 360°)

or, 248.5+ y=360°

or, y = 360° - 248.5°

or, y= 111.5°

Again, the second angle of the triangle be a

Then,

a=111.5(vertically opposite angle)

Lastly,

29° + 111.5° + x = 180°(all the interior angle of a triangle is 180°)

or, 140.5° + x = 180°

or, x =180° - 140.5°

or, x=39.5°

Step-by-step explanation:

Check out the attached photo. Leave a comment if something's confusing.

Answer:

Be a wise girl or guy, Give math a try!

Step-by-step explanation:

Answer:

wow asphalt theme I have that too in my quizziz

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

Answer:

27 pi in^3

Step-by-step explanation:

volume of the cone

= 1/3 x pi x r^2 x h

= 1/3 x pi x(3)^2 x (9)

= 27 pi in^3

Answer:

Volume: 192 cubic inches

Surface area: 272 square inches

Manufacturing cost: $13.60

Answer:

12

Step-by-step explanation:

15/10=1.5

8 times 1.5=12

Answer:

16 quarters

Step-by-step explanation:

4 x 4 = 16

$1 = 4 quarter

Flynn has 16 quarters.

820 miles

how far the airplane can travel in an hour.

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

9

Step-by-step explanation:

The answer above is correct.

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

Answer:

[tex]x(2) + 5\\[/tex]

The number is 8 because [tex]8 * 2 = 16[/tex]

And if you add 4, you get 20

Hence, the number is 8

Answer:

8

Step-by-step explanation:

let the number be x

=>               2x+(x/2) = 20

=>               4x+x/2 = 20

=>               5x/2 = 20

=>               5x = 20*2

=>               5x = 40

=>               x = 40/5

=>               x = 8

can i get brainliest    

Answer:

15N.

Step-by-step explanation:

45 - 30

= 15N.

Answer:

15

Step-by-step explanation:

45N - 30N = 15N

The resultant force on the boat is 15N.

Answer:

Below in bold.

Step-by-step explanation:

1) 2x^2 -3x -9

 2 * -9 =  -18. We need 2 numbers whose product is -18 and whose sum     is -3. They are -6 and + 3. So:

= 2x^2 - 6x + 3x - 9

= 2x(x - 3) + 3(x - 3)

= (2x + 3)(x - 3)

2) 3x^2 + 5x +2​

Now 3 * 2 = 6   We need to numbers whose product is + 6 and whose  sum is +5.  Theres are + 3 and + 2>

= 3x^2 + 3x + 2x + 2

= 3x(x + 1) + 2(x + 1)

= (3x + 2)(x + 1)

=

Answer:

Perimeter = 2(length + width) = 2(235 + 150).

Cost = perimeter times $1.69

Step-by-step explanation:

Answer: 87

Step-by-step explanation:

  The range is the largest data value minus the smallest data value.

95 - 8 = 87

Answer:

  simplify the radical

Step-by-step explanation:

You have shown the solution using the quadratic formula.

The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.

  [tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]

_____

Additional comment

0 is the additive identity element, so adding or subtracting zero changes nothing.

  [tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]

Answer:

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.

The probability of flipping tails is 1/2. We need three of these.

1/2 x 1/2 x 1/2 = 1/8