I thought of a number, multiplied it by 2 1/2, divided the result by 1 1/5, subtracted 7/18 from it, and got 1 5/6. What was my number?

Answer:

x= - 3

Step-by-step explanation:

21x-4=-67  

21x=-63

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/4-(28/1)=0

Step by step solution :

STEP

1

:

28

Simplify ——

1

Equation at the end of step

1

:

x

— - 28 = 0

4

STEP

2

:

x

Simplify —

4

Equation at the end of step

2

:

x

— - 28 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

28 28 • 4

28 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (28 • 4) x - 112

———————————— = ———————

4 4

Equation at the end of step

3

:

x - 112

——————— = 0

4

STEP

4

:

When a fraction equals zero

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-112

————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-112 = 0

Solving a Single Variable Equation:

4.2 Solve : x-112 = 0

Add 112 to both sides of the equation :

x = 112

One solution was found :

x = 112

Step-by-step explanation:

make me as brain liest

Answer:  7x²  - 14x

Steps: 7(-2x + x²)

Apply the distributive law [ a(b + c) = ab + ac ]:   7(-2x) + 7x²

Apply negative/positive rules:  -7 × 2x + 7x²

Simplify: 7x²  - 14x

Answer: v=559

Step-by-step explanation:Solve for V

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

V=−509

Decimal Form:

V=−5.¯5

Mixed Number Form:

V=−559

Hope this helps!!!!!!

Answer:

The second one

Step-by-step explanation:

Answer: x ≤ 5

Explanation: −4 ≤ 11 − 3x = x  ≤ 5

Answer:

The answer is x ≤ 5.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Pair 1 is a rotation since we turn figure A into figure B

Pair 2 is a reflection since we flip figure A into figure B over a horizontal line

Pair 3 is a translation since we slide figure A into figure B by moving it down

Answer:

3 19/24

Step-by-step explanation:

Answer:

I believe it's 2(x-5)=3

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    [tex]\boxed{\bold{a_n=7n-12}}[/tex]

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

[tex]a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}[/tex]

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

Let's start by finding the slope using the two points given. Use the formula for slope below:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify your values:

[tex]x_1=0\\x_2=4\\y_1=-5\\y_2=3[/tex]

Substitute:

[tex]m=\frac{3-(-5)}{4-0}[/tex]

Combine terms:

[tex]m=\frac{8}{4}[/tex]

Simplify:

[tex]m=2[/tex]

_

Let's graph these two points. As seen on the graph attached, we can see that [tex]-5[/tex] is the y-intercept. With our slope and y-intercept, we have the information needed to formulate an equation in slope-intercept form:

[tex]y=mx+b[/tex]

Identify your values:

[tex]m=2[/tex]

[tex]b=-5[/tex]

Substitute:

[tex]y=2x-5[/tex]

Answer:

Step-by-step explanation:

Cost of the car = $21000

Mark up = 1/3*21000 = $7000

Sale price = 21000 + 7000 = $28000

Answer:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(  

g

f

​  

)(x)=  

g(x)

f(x)

​  

= \small{\dfrac{3x+2}{4-5x}}=  

4−5x

3x+2

​  

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(  

g

f

​  

)(x)=  

4−5x

3x+2

​

Step-by-step explanation:

Answer:

A)

10 miles.

B)

0 hours, 40 minutes, and 0 seconds.  

Step-by-step explanation:

Remember that distance is given by the formula:

[tex]d=st[/tex]

Where d is the distance, s is the speed, and t is the time.

We know that the bird leaves its nest and travels 15 miles per hour for x hours. So, let's substitute 15 for s and x for t:

[tex]d=15x[/tex]

On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Since this is the return trip, the distance d remains the same. We know that the bird travels 3 miles per hour slower, so it's speed is 15-3 or 12 miles per hour.

However, after x hours, it still has 2 miles left until reaching the destination. So, we will subtract 2 from d. This gives us the equation:

[tex]d-2=12x[/tex]

We can solve this using substitution. Since we already know that d is 15x. Substitute:

[tex]15x-2=12x[/tex]

Solve for x. Subtract 12x from both sides:

[tex]3x-2=0[/tex]

Add 2 to both sides:

[tex]3x=2[/tex]

Divide both sides by 3:

[tex]x=2/3[/tex]

Therefore, the bird traveled for a total of 2/3 hours or 40 minutes.

And the distance the bird traveled is:

[tex]d=15x[/tex]

Substitute 2/3 for x to get:

[tex]d=15(2/3)=30/3=10\text{ miles}[/tex]

And we're done!

Answer:

21.25

Step-by-step explanation:

you would multiply 25 by 0.15 to get the percent being taken off then subtract that from your original price

Answer:

2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The ratio of dollars to slices is 2 and the cost per slice is $2.

In mathematics, a ratio shows how many times one number contains another.

Given is that a large two-topping pizza from Tony's Pizzeria has 8 slices and costs $16.

Therefore, the ratio of dollars to slices is 2 and the cost per slice is $2.

To solve more questions on ratios, visit the link below -

https://brainly.com/question/21138916

#SPJ2

Answer:

The answer is 4

Step-by-step explanation: I did the work and it works out like that I hope this helps

Answer:

S = { }

Step-by-step explanation:

The set S has no members

Answer:

You can't it is a false statement.

Step-by-step explanation:

You probably made an error.

3 + 5 is 8 unless you wanted this 3 + 2 = 5

Answer:

B

Step-by-step explanation:

peepeepoopoo check

Answer:

x = 7

Step-by-step explanation:

................Hi.....................

Answer:

I would say 6 or 4, if we don't know which direction he is walking

Answer:

her birthday is on Saturday

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer:

its an infinitely/many

Step-by-step explanation:

Answer:

The shorter side is 8 feet

the longer side is 16 feet

Step-by-step explanation:

lets call the shorter side x.

let's call the longer side 2x (because it's twice as long as the shorter side)

you know that the perimeter is 48 feet.

the perimeter would be 2(short side) + 2(long side)

using this, you can make the following equation:

2(x) + 2(2x) = 48

open the parenthesis.

2x + 4x = 48

6x = 48

x = 8

2x = 16

Answer:

A & C & D

Step-by-step explanation:

A & C & D both show the commutative property of multiplication and therefore is the correct answer because 3/5(6) = 18/5 and 3(6/5) is also 18/5.

3 x (6÷5) is also 18/5

(3×6)÷5 is also 18/5

Answer: It may be 25 or 101

Step-by-step explanation: