2x/3 < 10
Solve the inequality

The denominators of two or more fractions must have a common factor, and the calculation can be defined as follows:

              [tex]\to[/tex] [tex]\frac{2}{3} - \frac{3}{5}\\\\[/tex]

              [tex]\to[/tex] [tex]\frac{10-9}{15}\\\\[/tex]

              [tex]\to[/tex] [tex]\frac{10}{15} - \frac{9}{15}\\\\[/tex]

So, the common denominator value by using the 15 is equal to

 [tex]\to \frac{2}{3} : \frac{10}{15} : \frac{3}{5}: \frac{9}{15}[/tex]

Find out more about the common denominator here:

brainly.com/question/896263

Answer:

848.97

Step-by-step explanation:

[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]

= 848.9664

Answer:

$892.50

Step-by-step explanation:

Answer: Yes.

Step-by-step explanation: 20% of 100 would translate into .2 out of 1

Answer:

Yes, coz 20%=20/100

Ans solving 2/100 will give you 0.2

So ya, that's right!

Answer:

56

Step-by-step explanation:

80 x 0.7 = 56

The answer is 56. Your welcome

Answer:

A-6

Step-by-step explanation:

Answer:

ans 6

Step-by-step explanation:

by expanding the equation,

4y-24=0

4y=24

y=6

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3

Answer:

We have established the following sequence

6, 12, 18,...

The given is the Arithmetic sequence with the nth term

[tex]a_n=6n[/tex]

d = 6 is a common difference.

Step-by-step explanation:

Given the formula

Sₙ = 3n² + 3n

Put n = 1 to determine the sum of the first term

S₁ = 3(1)² + 3(1)

S₁ = 3 + 3

S₁ = 6

As the sum of the first term includes the only first term, so

a₁ = 6

Put n = 2 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₂ = 3n² + 3n

S₂ = 3(2)² + 3(2)

S₂ = 12 + 6

S₂ = 18

as

S₂ = a₁ + a₂

substituting S₂ = 18, a₁ = 6

18 = 6 + a₂

12 = a₂

so

a₂ = 12

Put n = 3 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₃ = 3(3)² + 3(3)

S₃ = 27 + 9

S₃ =36

as

S₃ = a₁ + a₂ + a₃

substitutingS₃ =36, a₁ = 6, a₂ = 12

36 = 6+12+a₃

a₃ = 36-6-12

a₃ = 18

Thus,

a₁ = 6

a₂ = 12

a₃ = 18

Therefore, the sequence becomes

a₁, a₂, a₃,...

6, 12, 18,...

Let us check the common difference 'd' between the adjacent terms

d = 12 - 6 = 6

d = 18 - 12 = 6

As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.

Thus,

Furthermore, the nth term of the Arithmetic sequence can be defined as

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting d = 6 and a₁ = 6

[tex]a_n=6\left(n-1\right)+6[/tex]

[tex]a_n=6n[/tex]

Answer:

1: 3 miles

2: 1 mile

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

This problem uses vertical angles! I'm sure you know this but just in case I will explain. Whenever there are two angles that are across from each other in a junction of two straight lines, they are perfectly equal! In this problem, the angles 6x-7 and 4x+7 are the same angle, so those equations have to have the same answer. In order to solve it, you need to write the equations like this:

6x-7=4x+7

From there you can solve for x. I will write my process here:

2x-7=7

2x=14

x=7

Just writing those vertical angle equations as equalities of each other should give you the answers you are looking for!

The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Ashley just lit a new candle and then let it burn all the way down to nothing.

Let L represent the length of the candle remaining unburned, in inches, t hours after the candle was lit.

The slope is calculated as,

m = (0 - 7) / (7 - 0)

m = - 1 inch per hour

Then the linear equation is given as,

L = - t + 7

The linear equation that represents the length of the candle will be L = - t + 7. And the slope will be - 1 inch per hour.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

Answer:

10/2

Step-by-step explanation:

first 10/2=5

you divide 10 into 2 until you get 5 of such groups

Answer:

16:60 = 4/15

Step-by-step explanation:

Answer:

6.25 Miles per hour speed

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

Answer:

Well... That's a statement, not a question...

Step-by-step explanation:

this is the answer...............

Answer:

y + 8 = -12(x - 8)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (8, -8)

Slope m = -12

Step 2: Write Function

Substitute variables into general form.

y + 8 = -12(x - 8)

Answer:

10,000

Step-by-step explanation:

Answer:

a burger

Step-by-step explanation:

because the cow is made into a burger lol

Answer:

q=-6.4

Step-by-step explanation:

If you need proof or don't understand I can edit it just tell me.

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Answer: 8

Step-by-step explanation:

The graph that shows the solutions to the inequality is the last graph.

Here we have the inequality:

-3.55g ≤ -28.4

To solve this, we need to isolate g, we can divide both sides by -3.55

g ≤ -28.4/-3.55 = 8

g ≤ 8

Then we must have a black dot at x = 8, and we shade the region to the left of it, meaning that the correct graph is the last one.

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ5

Step-by-step explanation:

18. SAS

side- angle- side

19. SSS

three proportional sides

20.The mid-segment SR of triangle, which joins the midpoints of two sides of triangle, is parallel to the third side of the triangle and half the length of that third side of the triangle.

So s the sides of triangle SFR and GFH are proportional.

21.AAA

two pairs of corresponding angles are congruent and angle B is common.

22.they are not similar because pairs of corresponding angles are not congruent.

96 is not equal to 97 also even not proportional.

23.

x=10

explanation:sides are proportional

26/13=2

so

22/2=11 and 11=2x-9 2x=11+9=20 x=20/2=10

24.

x=11

Because it is given that each pair is similar then we have proportional sides but FM=MG=20 so

LM=MK

50=4x+6

4x=44

x=11

Answer:

1. sliver's gym

2. sliver's gym

3. fitness planet

4. fitness:345 to sliver: 185

Step-by-step explanation:

1. with zero months

fitness planet cost is C = 22(0)+15= 15

sliver's gym cost is C = 15(0)+5= 5

2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships

3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.

4. Fitness planet C = 22(12)+15 = 345

Sliver's gym C = 15(12)+15 = 185

Answer:

A,C,B,E,G,F

Step-by-step explanation:

n mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

also

The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another. Whole numbers, integers, fractions, terminating decimals and repeating decimals are all rational numbers.

Answer:

-2(r+3)

Step-by-step explanation:

Answer:

i think it's the first one