simplify the following expressions using distributive property of multiplication 4(3x-1)​

Answer:

5 people

Step-by-step explanation:

Regular- 2/3 times 24/1 gets you 16 people

Decaf- 1/8 times 24/1 gets you 3 people

16+3 is 19

24-19=5 people

The number of customers that ordered a specialty coffee is 5.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Total number of customers = 24

Customers having regular coffee = Two-thirds

⇒ Number of customers having regular coffee = 2/3 * 24 = 16

Customers that had decaf = one-eight

⇒ Number of customers having decaf = 1/8 * 24 = 3

Total number of customers having regular coffee and decaf = 16 + 3 = 19

Therefore, Customers that ordered a specialty coffee = Total number of customers - Total number of customers having regular coffee and decaf

⇒ Customers that ordered a specialty coffee = 24 - 19

⇒ Customers that ordered a specialty coffee = 5

Thus, the number of customers that ordered a specialty coffee is 5.

To learn more about fractions:

brainly.com/question/445498

#SPJ2

Answer:

assuming that point u is inbetween points T and V then the length of TV would be 13

Step-by-step explanation:

T-----------U--V

Answer:

6

Step-by-step explanation:

Answer:

terms: 3x,+90y,-70

coefficient:3,-90,-70

Answer:144

Step-by-step explanation:

36 x 4 = 144

48 × 3 = 144

Answer: each pair of pants costed 15 $

Step-by-step explanation:

35+10 = 45/3 = 15

Answer: $15 each

Step-by-step explanation: add 35 + 10 = 45, then divide 45 ÷ 3 = 15

Answer:

multiply

Step-by-step explanation:

i know this from 3rd grade

Answer:using division method

Step-by-step explanation:

Example is the square root of 144

144 divided by the less prime number till 144 can not be divided again

144÷2=72

72÷2=36

36÷2=18

18÷2=9

9÷3=3

3÷3=1

Then you group the prime numbers used

(2×2)×(2×2)×(3×3)

Then take one of the prime numbers form each group

2×2×3=12

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] A(-6, 2)) = (x_1, y_1) [/tex]

[tex] B(2, 6) = (x_2, y_2) [/tex]

[tex] AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2} [/tex]

[tex] AB = \sqrt{(8)^2 + (4)^2} [/tex]

[tex] AB = \sqrt{64 + 16} = \sqrt{80} [/tex]

[tex] AB = 8.9 [/tex] (nearest tenth)

Distance between B(2, 6) and C(7, 1):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] B(2, 6) = (x_1, y_1) [/tex]

[tex] C(7, 1) = (x_2, y_2) [/tex]

[tex] BC = \sqrt{(7 - 2)^2 + (1 - 6)^2} [/tex]

[tex] BC = \sqrt{(5)^2 + (-5)^2} [/tex]

[tex] BC = \sqrt{25 + 25} = \sqrt{50} [/tex]

[tex] BC = 7.1 [/tex] (nearest tenth)

Distance between C(7, 1) and D(3, -5):

[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] C(7, 1) = (x_1, y_1) [/tex]

[tex] D(3, -5) = (x_2, y_2) [/tex]

[tex] CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2} [/tex]

[tex] CD = \sqrt{(-4)^2 + (-6)^2} [/tex]

[tex] CD = \sqrt{16 + 36} = \sqrt{52} [/tex]

[tex] CD = 7.2 [/tex] (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

[tex] DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] D(3, -5) = (x_1, y_1) [/tex]

[tex] A(-6, 2) = (x_2, y_2) [/tex]

[tex] DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2} [/tex]

[tex] DA = \sqrt{(-9)^2 + (7)^2} [/tex]

[tex] DA = \sqrt{81 + 49} = \sqrt{130} [/tex]

[tex] DA = 11.4 [/tex] (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

Answer:

1/5, 3.3%, 0.352

Step-by-step explanation:

1/5 as a decimal is 0.2

the greatest is 0.352 because it has the highest number in the tenths place.

that is why the answer is:

1/5, 3.3%, 0.352

Answer:0.352, 3.3%, 1/5

Step-by-step explanation:

0.352 is the smallest amount and 1/5 is obviously the biggest if you go from 100, 1/5 would be 20 and 3.3% would be 3.3 and then .352 would be last not even equaling 1.

The wooden board is 24 times the length of Crayon which is represented by Figure C.

We have,

A crayon is 4 inches long.

A wooden board is 8 feet long.

We know that

1 feet = 12 inch

So, 8 feet = 12 x 8 = 96 inches

Now, the factor between Caron and wooden block

= 96 / 4

= 24

Thus, the wooden board is 24 times the length of Crayon which is represented by Figure C.

Learn more about Scale Factor here:

https://brainly.com/question/29464385

#SPJ6

Answer:

I believe it would be 14

Step-by-step explanation:

Answer:

Measure of Central Angle/360:

1/4

1/2

3/4

1/4

1/2

3/4

Visually, how much of the circle is covered by the sector?

one-fourth

one-half

three-fourths

one-fourth

one-half  

three-fourths  

Step-by-step explanation: Plato Answer

Plato exsample :) good luck

Answer:

D. 66

Step-by-step explanation:

20% of 55 is 11

11 + 55 = 66

Answer:

A.11

Step-by-step explanation:

so 55 * 0.2 = 11

20% = 2/10

Answer:

166°

Step-by-step explanation:

Since ∠A = ∠B,

the equation below helps to find the value of x and angle A:

7x+40-180=3x+112-180

7x-3x=112-40

4x=72

x=18

A=7*18+40=126

B=21+112=133

Answer:

x > 2

Step-by-step explanation:

Given

5x + [tex]\frac{1}{3}[/tex](3x + 6) > 14 ← distribute and simplify left side

5x + x + 2 > 14

6x + 2 > 14 ( subtract 2 from both sides )

6x > 12 ( divide both sides by 6 )

x > 2

Answer: x > 2  

Step-by-step explanation:

5x + 1/3(3x +6) > 14     Distribute

5x + 1x + 2 > 14     Combine like terms on the left side

  6x + 2 > 14      Subtract 2 from both sides

         -2    -2

   6x > 12      Divde both sides by 6

 x > 2

Answer:

-2

Step-by-step explanation:

Given the function f(x) = 3x+4. To find f(-2), we will substitute x = -2 into the given function as shown;

F(-2) = 3(-2)+4

F(-2) = -6+4

F(-2) = -2

Hence the value of f(-2) is -2

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

[tex]-x+1=x+21[/tex]

Subtract 1 from both sides:

[tex]-x+1-1=x+21-1\\-x=x+20[/tex]

Subtract x from both sides:

[tex]-x-x=x+20-x\\-2x=20[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{20}{-2}\\x=-10[/tex]

Answer:

Because they are fractions every fractions is rational .

Step-by-step explanation:

Answer:

The sum is a fraction

Step-by-step explanation:

Answer:

y=12/7x +39/7

Step-by-step explanation:

7y-12x=39

7y=12x+39

y=12/7x+39/7

Answer:

7y -12x = 39

   +12x    +12x

 7y =  39 + 12x

 ----     ----------

  7         7

  y=  12/7x + 39/7

Answer:

Stop and Save is a better value

Step-by-step explanation:

[tex]\frac{3}{1.05} = 2.86\\\frac{5}{2.30} = 2.17[/tex]

Answer:

3 apples at quick market.

Step-by-step explanation:

they only cost $0.44 dollars each

Answer:

6x2+8x+2

this is the answer

Answer:

0=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3y−6)=−3(8−4y)

(4)(3y)+(4)(−6)=(−3)(8)+(−3)(−4y)(Distribute)

12y+−24=−24+12y

12y−24=12y−24

Step 2: Subtract 12y from both sides.

12y−24−12y=12y−24−12y

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

Answer:

All real numbers

Step-by-step explanation:

So we have the equation:

[tex]4(3y-6)=-3(8-4y)[/tex]

First, distribute the left side:

[tex]12y-24=-3(8-4y)[/tex]

Now, distribute the right:

[tex]12y-24=-24+12y[/tex]

Subtract 12y from both sides. Both sides cancel:

[tex]-24=-24[/tex]

This statement is true.

In other words, our solution is all real numbers.

And we're done!

Answer:

Length: 10 cm

Width: 5 cm

Step-by-step explanation:

The required length and width of the scale drawing are given a length will be 10 cm and the width will be 5 cm.

Given that,
A swimming pool of rectangle shape that measures 50 meters in length and 25 meters in width. To make a scale drawing of an Olympic-size swimming pool where 1 centimeter represents 5 meters.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
Given scale: 1 cm = 5 m
So, for 1 m = 1/5 cm
Now,
Length = 50 × 1/5  = 10 cm
Width = 25 × 1/5 = 5 cm

Thus, the required length and width of the scale drawing is given a length will be 10 cm and a width will be 5 cm.

Learn more about Scale factor here :

https://brainly.com/question/22312172

#SPJ5

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]5+\sqrt{81}\div9[/tex]

[tex]5+\frac{\sqrt{81}}{9}[/tex]

[tex]5+\frac{9}{9}[/tex]

[tex]5+1[/tex]

[tex]6[/tex]

Answer:

p = -7

a = 10

Step-by-step explanation:

Question 1:

Step 1: Write out equation

-22 = 12p - 2(5p + 4)

Step 2: Distribute

-22 = 12p - 10p - 8

Step 3: Combine like terms (p)

-22 = 2p - 8

Step 4: Add 8 to both sides

-14 = 2p

Step 5: Divide both sides by 2

-7 = p

Step 6: Rewrite

p = -7

Question 2:

Step 1: Write out equation

11a - (4a - 7) = 77

Step 2: Distribute

11a - 4a + 7 = 77

Step 3: Combine like terms (a)

7a + 7 = 77

Step 4: Subtract 7 on both sides

7a = 70

Step 5: Divide both sides by 7

a = 10