1. What is a sequence?
2. What is each number in a sequence called?
3. What do patterns do?
4. What is an arithmetic sequence?

Answer:

Each friend is running a half mile.

They are running 1/2 mile.

The operations of addition, subtraction, multiplication, division, exponentiation, and modulus are carried out by the arithmetic operators.

They cover the study of numbers, including the order of operations, which are useful in algebra, data handling, and geometry, among other areas of mathematics.

Given Hotah and his 3 friends are each running 1/4 of a 2-mile relay race

total distance covered by them out of 2 miles is

2 x 1/4 = 1/2 miles

Therefore each person runs at 1/2 a mile.

Learn more about arithmetic operations;

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Answer:

10. <PTR = 80

11. < PTQ = 45

12. <QTS = 130 - 45 = 85

13. Luis didn't subtract 80 by 40

14. 180

Answer:

$360

Step-by-step explanation:

i added 20%+20%=40% so you turn 40% into.40 then you multiply 600×.40 to get 240 since it is discounted you have to subtract so you subtract 600-240 to get 360 which is your final product

Answer:

[tex]y = 2x - 6[/tex]

Step-by-step explanation:

Given

Equation: [tex]y = 2x - 6[/tex]

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of [tex]y = 2x - 6[/tex]

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope;

Hence; [tex]m =2[/tex]

Since the equation and the point are parallel. then they have the same slope (m).

[tex]m = 2[/tex]

Next, is to determine the equation of the point, using the following formula:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,4)[/tex]

So, the equation becomes

[tex]2 = \frac{y - 4}{x - 5}[/tex]

Cross Multiply

[tex]y - 4 = 2(x - 5)[/tex]

Open Bracket

[tex]y - 4 = 2x - 10[/tex]

Make y the subject of formula

[tex]y = 2x - 10 + 4[/tex]

[tex]y = 2x - 6[/tex]

Hence, the equation is [tex]y = 2x - 6[/tex]

Answer:

102

Step-by-step explanation:

Given f(x) =18x+12

F(5)=18(5)+12

=90+12

=102

Answer:

the area of the space he can cover with carpet =  16x⁴ yards²

Step-by-step explanation:

The shape of the square is not shown in this question.

Let assume that the base of the shape of the square is 2x² yards.

and Manny has four of that.

Then side we known the base, we can calculate for the area of the square.

Area of a square = l²

Area of a square = (2x² yards)²

Area of a square = 4x⁴ yards²

However, since Manny has four pieces of that carpet and wants to use them together to carpet a portion of his basement.

Let the pieces of the carpet be carpet A, B, C and D

where; their side is 2x² yards, then their area = 4x⁴ yards²

the area of the space he can cover with carpet =  A+B+C+D

the area of the space he can cover with carpet =  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards² +  4x⁴ yards²

the area of the space he can cover with carpet =  16x⁴ yards²

Answer:

Each value has been identified below.

Step-by-step explanation:

(1) We have to describe two ways the numbers in each proportion are related;

(a) 5 : 20 = 125 : 500

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

20 [tex]\times[/tex] 125 = 5 [tex]\times[/tex] 500

2500 = 2500

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 5 : 20 = 125 : 500

We will check that; [tex]\frac{5}{125}[/tex] is equal to [tex]\frac{20}{500}[/tex] or not.

[tex]\frac{5}{125} = \frac{20}{500}[/tex]

[tex]\frac{1}{25} = \frac{1}{25}[/tex]

This shows that the given proportion is related.

(b) 10 : 1 = 120 : 12

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

1 [tex]\times[/tex] 120 = 10 [tex]\times[/tex] 12

120 = 120

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 10 : 1 = 120 : 12

We will check that; [tex]\frac{10}{120}[/tex] is equal to [tex]\frac{1}{12}[/tex] or not.

[tex]\frac{10}{120} = \frac{1}{12}[/tex]

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

This shows that the given proportion is related.

(c) 75 : 25 = 300 : 100

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

25 [tex]\times[/tex] 300 = 75 [tex]\times[/tex] 100

7500 = 7500

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 75 : 25 = 300 : 100

We will check that; [tex]\frac{75}{300}[/tex] is equal to [tex]\frac{25}{100}[/tex] or not.

[tex]\frac{75}{300} = \frac{25}{100}[/tex]

[tex]\frac{1}{4} = \frac{1}{4}[/tex]

This shows that the given proportion is related.

(d) 1 : 3 = 16 : 48

One way of describing that the given ratios are in proportion is;

Product of means = Product of extremes

3 [tex]\times[/tex] 16 = 1 [tex]\times[/tex] 48

48 = 48

This shows that the given proportion is related.

Another way of describing that the given ratios are in proportion is;

As 1 : 3 = 16 : 48

We will check that; [tex]\frac{1}{16}[/tex] is equal to [tex]\frac{3}{48}[/tex] or not.

[tex]\frac{1}{16} = \frac{3}{48}[/tex]

[tex]\frac{1}{16} = \frac{1}{16}[/tex]

This shows that the given proportion is related.

(2) Now we have to determine each value of n in the following given ratios;

(a) 2 : 5 = 8 : n

As we know that Product of means = Product of extremes

5 [tex]\times[/tex] 8 = 2 [tex]\times[/tex] n

40 = 2n

[tex]n=\frac{40}{2}[/tex] = 20

Hence, the value of n is 20.

(b) 2 : n = 6 : 9

As we know that Product of means = Product of extremes

n [tex]\times[/tex] 6 = 2 [tex]\times[/tex] 9

6n = 18

[tex]n=\frac{18}{6}[/tex] = 3

Hence, the value of n is 3.

(c) n : 5 = 12 : 20

As we know that Product of means = Product of extremes

5 [tex]\times[/tex] 12 = n [tex]\times[/tex] 20

60 = 20n

[tex]n=\frac{60}{20}[/tex] = 3

Hence, the value of n is 3.

(d) 8 : n = 4 : 15

As we know that Product of means = Product of extremes

n [tex]\times[/tex] 4 = 8 [tex]\times[/tex] 15

4n = 120

[tex]n=\frac{120}{4}[/tex] = 30

Hence, the value of n is 30.

(3) Now we have to determine each value of z in the following given ratios;

(a) 4 : 8 = 3 : z

As we know that Product of means = Product of extremes

8 [tex]\times[/tex] 3 = 4 [tex]\times[/tex] z

24 = 4z

[tex]z=\frac{24}{4}[/tex] = 6

Hence, the value of z is 6.

(b) 5 : z = 6 : 18

As we know that Product of means = Product of extremes

z [tex]\times[/tex] 6 = 5 [tex]\times[/tex] 18

6z = 90

[tex]z=\frac{90}{6}[/tex] = 15

Hence, the value of z is 15.

(c) z : 14 = 10 : 20

As we know that Product of means = Product of extremes

14 [tex]\times[/tex] 10 = z [tex]\times[/tex] 20

140 = 20z

[tex]z=\frac{140}{20}[/tex] = 7

Hence, the value of z is 7.

(d) 3 : 21 = z : 56​

As we know that Product of means = Product of extremes

21 [tex]\times[/tex] z = 3 [tex]\times[/tex] 56

21z = 168

[tex]z=\frac{168}{21}[/tex] = 8

Hence, the value of z is 8.

[tex]\dag\bf\:P(x_1,y_1)=(3,0)[/tex]

[tex]\dag\bf\:Q(x_2,y_2)=(-1,3)[/tex]

[tex]\dag\bf\:R(x_3,y_3)=(11,6)[/tex]

❅ Distance between P and Q :

[tex]\sf\:PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sf\:PQ=\sqrt{(-1-3)^2+(3-0)^2}[/tex]

[tex]\sf\:PQ=\sqrt{(-4)^2+(3)^2}[/tex]

[tex]\sf\:PQ=\sqrt{16+9}[/tex]

[tex]\sf\:PQ=\sqrt{25}[/tex]

[tex]\bf\:PQ=5\:unit[/tex]

❅ Distance between Q and R :

[tex]\sf\:QR=\sqrt{(x_3-x_2)^2+(y_3-y_2)^2}[/tex]

[tex]\sf\:QR=\sqrt{(11-(-1))^2+(6-3)^2}[/tex]

[tex]\sf\:QR=\sqrt{(12)^2+(3)^2}[/tex]

[tex]\sf\:QR=\sqrt{144+9}[/tex]

[tex]\sf\:QR=\sqrt{153}[/tex]

[tex]\bf\:QR=12.37\:unit[/tex]

❅ Distance between P and R :

[tex]\sf\:PR=\sqrt{(x_1-x_3)^2+(y_1-y_3)^2}[/tex]

[tex]\sf\:PR=\sqrt{(3-11)^2+(0-6)^2}[/tex]

[tex]\sf\:PR=\sqrt{(-8)^2+(-6)^2}[/tex]

[tex]\sf\:PR=\sqrt{64+36}[/tex]

[tex]\sf\:PR=\sqrt{100}[/tex]

[tex]\bf\:PR=10\:unit[/tex]

◈ Perimeter of Triangle :

➝ perimeter = PQ + QR + PR

➝ perimeter = 5 + 12.37 + 10

➝ Perimeter = 27.37 unit

Answer:

Toni can carry a total of 5 books.

Step-by-step explanation:

[tex]1+2+3b\leq18[/tex] - Write the inequality out .

[tex]3+3b\leq 18[/tex] - Combine like terms.

[tex]3b\leq 15[/tex]  - Subtract 3 from both sides .

[tex]b\leq 5[/tex] -  Divide both sides by 3.

She can carry a max of 5 books.

Hope this helps!

Answer:

54 Stars

Step-by-step explanation:

Step 1:

60 mins = 1 Hour

Step 1:

10 × 6 = 60

Step 2:

9 × 6 = 54

Answer:

54 Stars

Hope This Helps :)

Answer:

54

In 1min star cutted= 9÷10

So in 1 hr or in60 min star cutted =60×9÷10

=54

Answer:

Repeating Decimals and Terminating Decimals

Step-by-step explanation:

Any number that can be written in fraction form is a rational number.

Hope This Helps :)

Answer:

If we claim that his ability to hit a target is 85% it means that he normally hits 17 out of 20 targets or 85 out of every 100 targets

Step-by-step explanation:

Percentage is the mathematics term for a ratio of numbers expressed in terms multiple of 100 and denoted by the symbol %. The percentage value has no unit and is used to compare proportion of items or to serve as a visible guide to the relative proportion event occurrence or prevalence of a characteristics within a population.

In the question, we have, the athlete's hitting average given as 85% of targets which means when presented with 20 targets, he is expected to hit 85% of the targets which is 0.85 × 20 = 17 hits.

Answer:

radius

Step-by-step explanation:

i believe it is radius because in my point of view it looks like the line travels up to the half of the circle.

Answer:

A) 27 = 3 × 3 × 3

B) 64 = 2 × 2 × 2 × 2 × 2 × 2

C) 125 = 5 × 5× 5

Step-by-step explanation:

Answer:

(A) 27 = 3 by 3 by 3

(B) 64 = 2 by 2 by 2 by 2 by 2 by 2

(C) 125 = 5 by 5 by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15(8/(8+16))

15(8/(24))

15(1/3)

5

Answer:

4.95

Step-by-step explanation:

15(8÷(8+16))

= 15(8÷24)

= 15×0.33

Reason for this answer↑: It was written as “8÷24” not “24÷8”

= 4.95

Answer:

A) Steve = Ryan +18

B) Steve + Ryan = 144

A) Steve -Ryan = 18 then adding B

B) Steve + Ryan = 162

2 Steve = 162

Steve weighs 81 pounds

Ryan weighs (81 -18) pounds 63 pounds

Step-by-step explanation:

5.352

Hoped this helped.

Please add brainliest :)

Good luck mate ;) !

Simplify numbers to layman terms.

[tex]\frac{\pi}{2}[/tex] will be a little more than [tex]\frac{3}{2}[/tex], since [tex]\pi[/tex] is 3.14.

[tex]-\sqrt{18}[/tex] will be a little less than -4, since [tex]-\sqrt{18}<-\sqrt{16}[/tex].

[tex]\sqrt{18}[/tex] will be a little more than 4, since [tex]\sqrt{18}>\sqrt{16}[/tex]

[tex]-\sqrt{7}[/tex] will be a little less than -2, since [tex]-\sqrt{7}<-\sqrt{4}[/tex]

Now we can order them.

[tex]-\sqrt{18},-\sqrt{7},\frac{\pi}{2},\sqrt{18}[/tex]

Hope this helps.

頑張って!

Answer:

1: negative square root of 18 (-4.2)

2: negative square root of 7 (-2.6)

3: pi/2 (1.57)

4: square root of 15 (3.9)

some are approximate calculations, but you only need the order of from smallest to largest number

14 mph

Step-by-step explanation:

13.636364

is what you get by doing

100/15 then you get 6.6666......7

after that you multiply that by 3600 because thats how many seconds in that hour.

Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph

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Answer: 1

Explanation: In this problem, b - a is equal to 3 - 2 which gives us 1.

Answer:

50

Step-by-step explanation:

you toss the ball 24 times, and of those 24 times, it lands 12 times on the yellow section, so 12/24= 0.5

Answer: 50

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

She can buy 46 more and she has three, so she can own 49

Answer:

Maria can own 15 necklaces.

Step-by-step explanation:

Sorry if i'm wrong but i hope this helps : )

Answer:

x = -7

Step-by-step explanation:

I hope this helps!

Hi there!

~

[tex]116 = -2x - 3(1 + 5x)[/tex]

= [tex]x = -7[/tex]

Hope this helped you!

The answer to this D=A(c-B)

Answer:

A

Step-by-step explanation:

58=58

Answer:=6x2+5x + −4/15

Step-by-step explanation:Let's simplify step-by-step.

8x2−3x+13−(2x2−8x+3/5)

Distribute the Negative Sign:

=8x2−3x+13+−1(2x2−8x+3/5)

=8x2+−3x+13+−1(2x2)+−1(−8x)+−1(3/5)

=8x2+−3x+13+−2x2+8x+−3/5

Combine Like Terms:

=8x2+−3x+1/3+−2x2+8x+−3/5

=(8x2+−2x2)+(−3x+8x)+(1/3+−3/5)

=6x2+5x+−4/15

Answer:

[tex]b = \frac{c - ax}{y}[/tex]

Step-by-step explanation:

[tex]ax + by = c \\ by = c - ax \\ b = \frac{c - ax}{y} [/tex]

Answer:

Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.

Step-by-step explanation: