a straight line has equation y=5-3x
what is the gradient of the line?
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Answer:

-14 = n

Step-by-step explanation:

56 = -4n

Divide each side by -4

56/-4 = -4n/-4

-14 = n

Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)

Answer:

[tex]a_{n}[/tex] = 90 - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

Answer:

x= 70

Step-by-step explanation:

Answer:

y = 5/2x + 8

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-2) / -2 - (-4)

5 / 2

= 5/2

y = 5/2x + b

3 = 5/2(-2) + b

3 = -5 +  b

8 = b

True

Hope this helps! :)

______________

Step-by-step explanation:

:)

Hola bro espero y te sirva

Answer:

9h

Step-by-step explanation:

Given data

Sofia earns $9 per hour mowing lawns

Let the total amount earned be t

and let the time worked be h

Hence

t= 9*h

t= 9h

The expression is 9h

Answer:

The probability of getting 2 blues is 25/121.

Step-by-step explanation:

There are 6 + 5 marbles in total, 11 marbles.

The chances of picking a blue marble is 5/11.

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.

5/11 * 5/11 = 25/121

The probability of getting 2 blues is 25/121.

Hope this helps, please mark brainliest! :) Have a great day.

Answer:

3

Step-by-step explanation:

area of rectangle = length × width

so the the given area is 12

area of rectangle is 12 = 4 × width

so when we multiply 4 × 3 we get 12

and the final answer is ...

area of rectangle = length × width

4× 3 = 12

To convert inches to yards you would divide the number of inches by inches per yard.

The numerator would be the inches given and the denominator would be 36

The ratio would be inches / inches per yard.

Numerator = inches

Answer:

$18.63

Step-by-step explanation:

15% of 45 is equal to 45 times .15, which is equal to 6.75.

45+6.75 = 51.75

Ben resold the guitar for $51.75

36% of 51.75 is equal to 51.75*.36 or 18.63

Ben spent $18.63 on books

5x + 3 is a linear equation in one variable

Answer:

the value is 1789 trust me out that in

Step-by-step explanation:

it just is

Answer:

A picture of the graph is attached

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.

Your

Answer:

-20

lmk if u need a step-by-step explaination id be glad to help you <3

Answer:

-20

Step-by-step explanation:

-5 ^ 2 is -25

|-1| is the same as 1

so this will be

-25 + 8 - 3

- 20

Answer:

c = 4n

Step-by-step explanation:

Answer:

The solution of this system is (9, 2).

Step-by-step explanation:

Substitute x - 7 for 'y' in the first equation.  We get:

x - 3(x - 7) = 3           Doing this temporarily eliminates the variable 'y'.

Now perform the indicated multiplication, and then combine like terms:

x - 3x + 21 = 3, or

-2x = -18

so that x = 9.  Substituting 9 for x in the second equation, we get:

y = 9 - 7, or y = 2.  

The solution of this system is (9, 2).

Answer:

P = 11 4/5

Step-by-step explanation:

Let L = 2 1/2 and w = 3 2/5

[tex]P=2(2\frac{1}{2})+2(3\frac{2}{5})\\\\P=5+6\frac{4}{5}\\\\P=11\frac{4}{5}[/tex]

The perimeter as a mixed number is P = 11 & 4/5, but it seems like your teacher only wants the whole part of the answer. So you'll just type 11.

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

Work Shown:

1/2 = 0.5

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

This shows that L = 2.5 ft

Similarly, W = 3.4 ft because 3+2/5 = 3+0.4 = 3.4

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

Plug those L and W values into the perimeter formula

P = 2L + 2W

P = 2*2.5 + 2*3.4

P = 5 + 6.8

P = 11.8

now convert back to a mixed number

11.8 = 11 + 0.8

11.8 = 11 + 8/10

11.8 = 11 + 4/5

11.8 = 11 & 4/5

The perimeter is 11 & 4/5 ft. In other words, the perimeter is 11 whole feet plus an additional 4/5 of a foot.

Your teacher seems to only want the whole part of the answer, assuming they only want the stuff in the box indicated with a question mark. If that's the case, then you'll type 11 into the box to write the final answer.

Answer:

B

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x) , that is

f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B

Answer:

2

Step-by-step explanation:

f(3)=1/4×2^3

f(3)=1/4×8

f(3)=8/4=2

Answer:

12

Step-by-step explanation:

The triangles are similar because they have the same angles.

Make a proportion to solve for AC which we will substitute with variable x.

AM = MB = 4

AB = AM + MB = 8

BN = NC = 3

BC = BN + NC = 6

big triangle sides: 8, 6, x

small triangle sides: 4, 3, 6

now we can write proportion.

8/4 = x/6

x = 12

AC = 12

Answer:

A. 56×10 -3

Step-by-step explanation:

Just multiply 8 and 7 and number of zeros should remain same.

[tex]8(7 \times 10 {}^{ - 3} ) \\ 56 \times 10 {}^{ - 3} [/tex]

Answeni ideAA{

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Step-by-step explanation:

Answer : Yes the answer to your question is 2411.

Explanation : how I got the answer

To convert decimal number 356.625, we convert its integer and fraction part individually and then add them to get the equivalent quinary number, as below:

To convert integer 356 to quinary, follow these steps:

Divide 356 by 5 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent quinary number.

356 / 5 = 71 with remainder 1

71 / 5 = 14 with remainder 1

14 / 5 = 2 with remainder 4

2 / 5 = 0 with remainder 2

Here is the answer to 356 decimal to quinary number:

2411

Given:

Total number of pages in a book = 360 pages

Fraction of pages Swati reads = [tex]\frac{1}{12}[/tex]

To find:

Number of pages Swati reads in a day

Steps:

Since we know the fraction of pages Swati reads each day, we can multiply the fraction with the total pages to find the number of pages read each day.

[tex]=360 * \frac{1}{12}[/tex]

[tex]= \frac{360 * 1}{12}[/tex]

[tex]=\frac{360}{12}[/tex]

[tex]=\frac{180}{6}[/tex]

[tex]=\frac{90}{3}[/tex]

[tex]=\frac{30}{1}[/tex]

= 30

Therefore, Swati reads 30 pages of the 360 pages per day.

HAPPY TO HELP :)

If you need any help, feel free to ask