I received $385 back from the government, which represented the 17.5% purchase tax on a piece of equipment. How much did I pay for this equipment in the first place?

Answer:

1/6.

Step-by-step explanation:

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

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:

3

Step-by-step explanation:

because 3 times 5 is 15 - 12 is 3

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:

She bought 2.5 pounds

Answer:

2.5 lb

Step-by-step explanation:

If Sarah has not made any loss or profit then amount of coffee = total cost/cost per pound 28.75/11.5= 2.5

Answer:

5,300

Step-by-step explanation:

5 or more raise the score, 4 or less let it rest.

Answer:

5,300

Step-by-step explanation:

buddy im not sure if this is right but i want you to knwo that no one is perfect and i tried plz and thank you

Answer:

$242

Step-by-step explanation:

His Gross income a month is $2400.

Now, we are told that his net income, after taxes have been taken out, is 80% of his gross income.

Thus;

Net income a month = 80% × 2400 = $1920

Now, Each month he deposits 10% of his net income plus an additional $50 into a savings account.

This means amount saved each month is = (10% × 1920) + 50 = 192 + 50 = $242

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:

89%

Step-by-step explanation:

Answer:

Grade drops 9 percentage points.

New overall grade is 89%

Step-by-step explanation:

The test with a score of 80% accounts for 50% of the grade.

The current average of 98% accounts for the other 50% of the grade.

50% of 80% + 50% of 98% =

= 40% + 49%

= 89%

The new overall grade is 89%.

Since the previous overall grade, before the test, was 98%,

and 98% - 89% = 9%, then

the new grade is 9 percentage points lower than the previous overall grade.

Answer:

m=0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

1.4-0.6=m

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:

y = x + 2

Step-by-step explanation:

Used slope formula to get a slope of 1

Line crosses y axis at (0,2)

Answer:

b) –3(2)

Step-by-step explanation:

–3(2)

= –3 x 2

= –6

Answer: B,C,D,F

Step-by-step explanation:

All the correct mathematical statements that represent the quantities and constraints in the given situation are;

Option B; 5 ≤ n ≤ 8

Option C; c = 2n

Option D; l = c

Option F; 10 ≤ l ≤ 16

We are told that;

n = the number of people

c = the number of cups

l = the number of scoops of lemonade powder.

        the least amount of lemonade = 5 × 2 = 10

        the maximum lemonade = 8 × 2 = 16

        This can be written in inequality form as;

         10 ≤ l ≤ 16

The only options that correspond with all the inequalities gotten above are; Options B, C, D, F.

Read more at;

Answer:

I’m srry I don’t know about question 2 but here’s the answer to Question 4

When the two angles are supplementary, m<BAC = m<CAD = 90° and m<DAB = 180°

Step-by-step explanation:

Answer from Plato

Answer:

No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.

Step-by-step explanation:

This is the answer for question 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

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

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:

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:

?

please rewrite the question cause it seems unclear!

Answer:

56 = 128-z

Step-by-step explanation:

Answer:

128-z=58

z=70

Step-by-step explanation:

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:

-85

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

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

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.                                                                        

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:

c

Step-by-step explanation:

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:

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.