Line passes through ( 2,4 ) with slope = 3

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5)

Multiply each side by 5/8

5/8 *9=  5/8 *8/5(x+5)

45/8 = x+5

Subtract 5 from each side

45/8 - 5 = x+5-5

45/8 -5 = x

Get a common denominator

45/8 - 5*8/8 =x

45/8 - 40/8 =x

5/8 =x

Answer:

x < 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2x > -12

Step 2: Solve for x

Here we see that any value x smaller than 6 would work as a solution to the inequality.

Answer:

x < 6

Step-by-step explanation:

Hello!

We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.

The solution set for x is all values less than 6.

Answer:

1.6

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

1 1/4 = 1.25

1.25x2=2.50

2.50 divided by 2=1.25

Answer:

First Q: The smallest value for which n works is 11.

Second Q: Smallest here is 17.

Third Q: I don't know this one, sorry!

Fourth Q: n is -10.

Step-by-step explanation:

For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).

Q1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.

Q2:

Repeat the steps from Q1.

12650 - 2 = 12648; 5800 - 3 = 5797

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.

Q4 (I don't know how to do Q3 yet):

2n + 25 = n + 15

Subtract n from both sides

n + 25 = 15

n = 15 - 25

Subtract 25 from 15 to get -10

n = -10

Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!

The least possible natural number n is 11.

Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.

The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.

Question 1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.

Question 2:

First, subtract the remainders from the numbers

That is, 12650 - 2 = 12648; 5800 - 3 = 5797

List the factors:

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.

Therefore, the least possible natural number n is 11.

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Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

Answer:

A) 60

B) 72/300

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) purple: 72

45+37+52+94+72 = 300

Therefore, 72/300

C) 1000 × (45/300)

150

a, The number of times is 60.

b. The probability for landing should be [tex]72/300[/tex]

c. The number of times is 150.

Since

a. The spinner shown is spun 300 times

and, the probability of green should be like [tex]1/5[/tex]

So here one-fifth of 300 should be 60.

b. The probability is

First the total be like

= 45+37+52+94+72

= 300

Now the probability is

=  [tex]72/300[/tex]

C) The number of times should be

[tex]= 1000 * (45/300)[/tex]

= 150

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Answer:

3

+

1

5

+

1

8

Step-by-step explanation:

Answer:

you have to show which points lol

Answer:

40 hours

Step-by-step explanation:

first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours

Answer:

6 i think

Step-by-step explanation:

Answer:

24/4 or 6

Step-by-step explanation:

3/4 / 1/8

flip the 1/8 and the sign

3/4x8/1

3x8=24

4x1=4

Answer:

3.6 3/6 3.6 percent 3:6

Step-by-step explanation:

10:9

15:14

20:19

Answer:

7.  3:6, 3/9 (or 6/9), .33..... (or .66......), 33.3......% (or 66.6.....7)

8. 10 roses, 8 daisies, 10:8 ratio

15 roses, 13 daisies, 15:13 ratio

20 roses, 16 daisies, 20:16 ratio

( the 15 roses part was hard so if its wrong im sorry)

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

Answer:

59

Step-by-step explanation:

18(3)=54+5=59

I dont see why it isnt 59, talk to me in th comments

Answer:

f is correct

Step-by-step explanation:

A weak negative correlation. Correct option is E.

A correlation between two variables tells the how the first variable will change, with change in second variable.

Given,

Value of y decreases as the value of x increases and vice versa.

Also, x and y are nearly linearly related.

But, there is still some deviation in the values and are not perfectly linear.

Hence, there is a weak negative correlation between x and y.

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9/12 = 75%

if any questions just ask.

Answer:

Step-by-step explanation:

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Answer:

16+c=25

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].  

11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].

We now calculate to see if this is true.

25 + 36 [tex]\neq[/tex] 121

Therefore, the answer is wrong.

Step-by-step explanation:

-143 = -11x : Original problem

[tex]\frac{-143}{-11}[/tex] = [tex]\frac{-11x}{-11}[/tex] : Isolating the variable

13 = x : Simplification  (Note: when you divide a negative number by a negative number, the answer is positive)

Answer: x=13

Hope this helps!!!

The  base   is a number that is multiplied. The number that indicates how many times this number is used as a factor is the  exponent  

For example, the number 2^3 expands out to 2*2*2. We have three copies of the base '2' being multiplied.

Another example: 5^2 = 5*5.

Answer:

The "Factor" is a number that is multiplied. The number that indicates how many times this number is used as a factor is the "Exponent".

Step-by-step explanation:

Example: 7 • 7 can be written as 72, 7 is the base and 2 is the exponent. The exponent 2 means there are two factors.  

Hope it helped : )

Answer:

Part A: 1.2 minutes

Part B: 0.83

Part C: 25.2

Answer:

a. 1.2 minutes

b. one lap per 1.2 minutes

c. 25.20 minutes

Step-by-step explanation:

a. do 6 mins/5 laps which gives you 1.2, so 1.2 minutes or 1 minute and 20 seconds

b. uh one lap per 1.2 minutes

c. 25.2 minutes which is approx. 25 minutes and 20 seconds. I reallly hope this helps!

Answer: 6.68km/litre

Step-by-step explanation:

Distance(d) = 187km ( to 3 significant figures)

Petrol(p) = 28litres ( to 2 significant figures)

A number, x, rounded to 1 significant figure is 200

Write down the error interval for x

Calculating the lower and upper bound for both 'd' and 'p'

Upper bound 'd' = 187.5km

Lower bound 'd' = 186.5km

Upper bound 'p' = 28.5km

Lower bound 'p' = 27.5km

Therefore,

Petrol consumption (C) = d/p

Upper C = 187.5 / 28.5 = 6.57894

Lower C = 186.5 / 27.5 = 6.781818

Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379

= 6.68km/ litre ( to 3 significant figures)

To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.

Using 3 significant figures ensure that we capture the C better, instead of early rounding.

Answer:

no

Step-by-step explanation:

5(x - 1) = 5x - 5

5x - 1 = 5x - 1

No, it is not equivalent

The required, 5(x - 1) and 5x - 1 are not equivalent expressions.

Let's expand 5(x - 1):

5(x - 1) = 5 * x + 5 * (-1) = 5x - 5

On the other hand, 5x - 1 is already in its simplified form.

As you can see, the expressions 5(x - 1) and 5x - 1 have different forms. The first expression involves distributing the 5 to both terms inside the parentheses, while the second expression is already simplified and cannot be further combined.

For example, if we substitute x = 2 into both expressions, we get:

5(2 - 1) = 5 * 1 = 5

5 * 2 - 1 = 10 - 1 = 9

Since 5 and 9 are not equal, it confirms that the two expressions are not equivalent.

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Answer:

Step-by-step explanation:

it is no because there is only 1 angel that u have