1. Express 12-2 as a unit fraction.

Answer:

1 and -1

Step-by-step explanation:

The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.  

Answer:

-7 and 1.

Step-by-step explanation:

either a + 3 = 4 or a + 3 = -4

So a = 1 and a = -7.

Answer:

d.)22

(I'm pretty sure it's d but if not it's c)

Answer:

The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.

Step-by-step explanation:

Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.

Given that the total distance = d

The speed for the first 150 miles = 60 miles/hour.

So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]

[tex]\Rightarrow t_1=2.5[/tex] hours.

The remaining distance [tex]= d-150[/tex] miles.

Speed for the remaining distance = 60 miles/hour.

As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,

So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours

So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]

[tex]\Rightarrow d-150=20\times 5=100[/tex]

[tex]\Rightarrow d = 100+150=350[/tex] miles.

The average speed of the journey = (Total distance)/(Total time taken )

[tex]=d/(t_1+t_2)[/tex]

=350/(2.5+5)

=350/7.5

=46.67 miles/hour.

Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.

Answer:

Options (B) and (C)

Step-by-step explanation:

Farmland owned by Dwight = 1600 acres

He wants to divide his farmland into four equal parts.

So the area of each part of the land will be = [tex]\frac{\text{Area of the farmland}}{\text{Number of parts of the farmland}}[/tex] = [tex]\frac{1600}{4}[/tex]

This expression can be written in different ways,

[tex]\frac{1600}{4}=[/tex] 1600 ÷ 4

      [tex]=1600\times \frac{1}{4}[/tex]

Therefore, Options (B) and (C) will be the correct options.                                                                        

Answer:

d

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Parallel lines have the same slope, so it would just be -5

Answer:

?

please rewrite the question cause it seems unclear!

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because all the other ones are equal to x < -5/3 while only B wasn't and it was x > -5/3

Answer:

The total cost is 49.59 the answer for the second question is 10.16

Step-by-step explanation:

Part A. self explanatory, i just added all of the pieces together and got 49.59.

Part B. I just solved the expression 20.75 - 10.59 and got 10.16.

Answer:

3

Step-by-step explanation:

because 3 times 5 is 15 - 12 is 3

Answer:

(4, 2)

Step-by-step explanation:

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

Moving left or down causes the coordinates to be going negative.

Moving right or up causes the coordinates to be positive.

Original point (4, 6)

Up 4 units:

(4, 6 + 4) = (4, 10)

Down 8 units:

(4, 10 - 8) = (4, 2)

You end up at point (4, 2)

Answer:

42

Step-by-step explanation:

i smart

Answer:

Step-by-step explanation:

1 yard = 3 ft

To find 14 yards, just multiply 14 by 3

14 yards = 14 x 3 = 42 ft

The domain is the set of all possible x inputs. The blue curve stretches on forever in both directions along the x axis. This means that we can plug in any x value we want, and get some y output. We don't have to worry about dividing by zero, or applying the square root of a negative number, so there are no restrictions on the domain. We can take the cube root of a negative number with no issues. For example, the cube root of -8 is -2.

Answer:

Yes they are.

Because:

As said in the rules you have to keep the bases and add the exponents.

Answer:

480 in 5hrs

Rate is 96 per hour

Step-by-step explanation:

In 5 hours there are 300 minutes (5x60) and 300min/25min = 12. So 25 mins pass 12 times in 5 hours. Since each 25 mins its 40 ppl then 12x40 = 480.

480 in 5 hours so 480/5= 96 per hour

Answer:

8.98 x 10^6

Step-by-step explanation:

To be in scientific notation, the number has to be between 1 and 10 then the 10^# has to be present.

Answer:

B.  8/square root of 89

Step-by-step explanation:

got it right on edge :)

Value of sin(x) =  8 / √89, 0 < x < 90.

Trigonometric functions can be simply defined as the functions of an angle of a triangle where 0 < x < 90°.

Formula used

In right angled triangle ABC , ∠B = 90° , ∠C = x°

cot (x )= ( Base ) / ( perpendicular)

sin ( x) = ( perpendicular ) / ( Hypotenuse )

Pythagoras theorem

(Hypotenuse)² = (Base)² + (perpendicular)²

(AC)² = (AB)² + (BC)²

Given that

cot (x) =5 / 8 , 0< x< 90

Therefore, by comparing the given values of trigonometric function with the formula ,

Base = 5

perpendicular  = 8

Substitute the value in the Pythagoras theorem,

   (Hypotenuse)² = 5² + 8²

⇒ (Hypotenuse)² = 25 + 64

⇒  Hypotenuse   = √89                  

Therefore,

sin(x) =  8 / √89

Hence Value of sin(x) =  8 / √89, 0 < x < 90

To learn about trigonometric function: https://brainly.com/question/26719838

#SPJ2

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes

Answer:

63.333333333333 you could put 63.3

Step-by-step explanation:

How much is 38 out of 60 written as a percent value? Convert fraction (ratio) 38 / 60 Answer: 63.333333333333%

Answer:

38% of 60 is 22.8. that's the correct answer

Answer:

-85

Step-by-step explanation:

Answer:

b) –3(2)

Step-by-step explanation:

–3(2)

= –3 x 2

= –6

Answer:

1   7    _7     0

Step-by-step explanation:

From this Given information:

We are to find the product of:

        0.59

×       0.37  

However, the first product is given as 413;

Also, the second product is 1 thousand, an unknown value in the hundreds place, an unknown value in the tens, and 0 ones.

Mathematically; i.e.   1 __ __ 0

i.e.

        0.59

×       0.37        

        4 1 3    

+   1 __ __ 0

So, to work out the unknown; we look for the multiplication of:

        0.59

×       0.37  

This is calculated as:

        0.59

×       0.37  

       4 1 3          

    1 7 7

0 0 0        

1    1  8   3    

Thus:

1183 - 413 = 770

i.e

the unknown value in the hundreds place is highlighted in bold format = 700

the unknown value in the tens place is highlighted in bold format =   70

Answer:

m=0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

1.4-0.6=m

Answer:

6-2x

Step-by-step explanation:

=3x+6-5x

=6-2x

Answer:

-2x + 6

Step-by-step explanation:

3(x+2)-5x =

3x + 6 - 5x =

-2x + 6

The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6

From the question given;

In essence;

By solving;

Read more on inequalities;

https://brainly.com/question/14361489

Answer:

y = x + 2

Step-by-step explanation:

Used slope formula to get a slope of 1

Line crosses y axis at (0,2)

Answer:

C

Step-by-step explanation:

1x5=5

3x6=18

and you can't simplify 5/18.

Answer:

5/18

Step-by-step explanation:

1 times 5 equals 5.  3 times 6 equals 18.

Answer:

1/6.

Step-by-step explanation:

As there are 6 sides to a die than answer is 1/6.