-1/2-(-5/9) with explanation!

Answer:

[tex]-3<x<4[/tex]

Step-by-step explanation:

[tex]-2<2x+4<12[/tex]

We want to isolate [tex]x[/tex].

Subtract 4 from all sides:

[tex]-2-4<2x+4-4<12-4[/tex]

[tex]-6<2x<8[/tex]

Divide all sides by 2:

[tex]\frac{-6}{2} <\frac{2x}{2} <\frac{8}{2}[/tex]

[tex]-3<x<4[/tex]

Hope this helped.

Step-by-step explanation:

[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]

[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]

[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]

Answer:

12 cups of pineapple juice for 16 cups of ginger ale.

Step-by-step explanation:

4+4+4+4= 16

3+3+3+3= 12

Answer:

x equals to 5

jist cross multiply

Answer:

1. not

2. repeats

3. problem

I think those are the answer to fill in the blank unless there is a word bank that you might have forgot to post.

Step-by-step explanation:

Answer:

1. ends

2. repeatedly continues

3.problem solving

Answer:

Step 1: The formula for distance is

Distance = Rate × Time

Total distance = 32 × 3 + 60 × 4 = 624

Step 2: Total time = 2 + 4 = 6

Step 3: Using the formula:

average speed formula

624/6 = 104

Step-by-step explanation:

The number of dimes, pennies and nickels are required.

The number of dimes is 50, pennies is 200 and nickels is 75.

Let the number of dimes be [tex]x[/tex]

From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.

So,

The number of pennies is [tex]4x[/tex]

and number of nickels is [tex]\dfrac{3}{2}x[/tex]

1 nickel = 0.05$

1 penny = 0.01$

1 dime = 0.01$

Total value of the coins is $10.75

[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]

The number of dimes is 50.

The number of pennies is [tex]4x=4\times50=200[/tex]

The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].

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Answer:

It is correct :)

Step-by-step explanation:

Step-by-step explanation:

vyo yesko solutions yeti matra xa

Answer:

about 12 1/2 minutes

each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5

======================================================

Work Shown:

20 min = 20/60 = 1/3 of an hour

distance = rate*time

d = r*t

4 mi = (x mph)*(1/3 hr)

4 = x*(1/3)

4*3 = x

x = 12 mph

Damon's speed is 12 mph

--------------

Now calculate the time it takes go travel to his friends house.

d = r*t

2.5 = 12*t

t = (2.5)/12

t = 25/120

t = (5*5)/(5*24)

t = 5/24

He takes 5/24 of an hour to go from school to Stefan's house.

Multiply by 60 to convert to minutes

(5/24)*60 = 12.5 minutes

Answer:

the answer is below

Step-by-step explanation:

multiply like this

Answer:

not sure

Step-by-step explanation:

I'm not sure how to do this guys I am very sorry for the inconvenience

Step-by-step explanation:

brother or sister whoever you are, please try to post the full question.

Answer:

77 rows

As per the provided information in the given question, we have :

We've been asked to calculate the number of rows in the auditorium.

Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.

Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.

Writing it in the form of a linear equation,

[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]

[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]

Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.

[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]

Therefore, there are 77 rows in the auditorium.

Answer:

The integers are 96, 97, 98, and 99

Step-by-step explanation:

first integer = x

second integer = x+1

third integer = x+2

fourth integer = x+3

(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time

The sum (add them all up) is (=) 390 so

x+(x+1)+(x+2)+(x+3) = 390

4x+6=390

4x+6-6=390-6

4x=384

4x/4=384/4

x=96

x+1=97

x+2=98

x+3=99

The integers are 96, 97, 98, and 99

Answer:

Step-by-step explanation:

Write the equation of the line perpendicular to 2x-3y=12 that passes through the point (16,-7)

Rewrite the equation as  y = (2/3)x - 4  This has slope 2/3

A perpendicular line will have slope -3/2 so the equation of a perpendicuar line is y = -(3/2)x + c where c is a constant found from the fact that the line must go through point (16, -7).

-7 = -(3/2).16 + c

c = 24 - 7  

c = 17

Hence perpendicular line has equation  y = -(3/2)x + 17

Answer:

gok jhtgrfedcfrgtyhu57i86i8ujyhg

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

2 + 2 = 4 or II+II=IIII

Make sense?

Answer:

2+2=4

Step-by-step explanation:

That is like the easiest math problem ever .

the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.

Step-by-step explanation:

area of circle = πr²

radius ² = 9.15 = 83.72 (approx.)

now,

→ 22/7 × 83.72

→ 22 × 11.96 = 263.02 m²

therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².

hope this answer helps you dear..take care and may u have a great day ahead!

Answer:

The answer is 325

Step-by-step explanation:

hope it helps<333

Answer: there were 6 chairs

Step-by-step explanation: 10x + 5 = 65

Answer:

y=5x-14

Step-by-step explanation:

Answer: For fabrics with a nap and/or one-way designs, add 1/4 yard for each yard specified. For plaids, add the length of one plaid repeat for each yard specified.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A. A worker with 1700 hours of training is paid $40 per month

Step-by-step explanation:

Given : the table of hours of training and monthly pay

To find : meaning of h(40)=1700

Answer : here 40 is given under hours of training and 1700 is given under monthly pay.

So, h(40)=1700 means the workers with 40 hours of training is paid $1700 every month

Step-by-step explanation:

1 ft = 12 in

=>

6 ft = 12×6 = 72 in

so, the given ratio is

6 ft / 80 in = 72 in / 80 in = 9/10 in

Answer:

A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?

Answer:

x<-6 or x>10

Step-by-step explanation:

-3+|x-2|>5

add 3 to both sides

|x-2|>8

x-2>8

x>10

There are 2 answers because it is absolute value.

It can't be 10, so the only other option is -6.

|x-2|>8

|-6-2|=8

|-8|=8

Apply absolute rule. If |u| > a, u < -a

because one of the answers is -6, it has to be x<-6

Answer:

C

Step-by-step explanation:

5-10x+25=0

5+25=10x

30=10x

x=3

Answer:

Step-by-step explanation:

If the sum of three consecutive odd integers is 255, then the three integers are 83, 85, and 87.

Answer:

15-11=4 feet

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 60 from both sides.

Step 3: Divide both sides by 3.

Step 4: Check if solution is correct.

Therefore, x = 10.