Subtract using the number line.
[tex] - 1 \frac{1}{3} - \frac{1}{6} [/tex]
​

Step-by-step explanation:

There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.

Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.

13.5 X 1.609 = 21.7215.

Round down to 21.7.

Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.

Step-by-step explanation:

12a. y-y1=m(x-x1)

y-5=(2-5)/(1--3)(x--3)

y-5=-3/4(x+3)

4y-20=-3x-9

4y=-3x-9+20

4y=-3x+11

y=-¾x+11/4

12b.

Perpendicular lines have the product of their gradient equal to -1

For L1,the gradient is 3

For L2,we express in slope-intercept form

6y=1-2x

y=1/6-⅓x

The slope is -⅓

Now product of both slopes 3×-⅓=-1,thus the lines are perpendicular

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is ~

[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the slope of given line ~

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

here, m = slope ~

I hope it helps ~

Answer:

[tex]18 {m}^{2} [/tex]

Step-by-step explanation:

[tex]area \: = 6m \times 4m \\ = 24 {m}^{2} \\ \\ grass \: area = 3m \times 2m \\ = 6 {m}^{2} \\ \\ cement \: area \: = 24 {m}^{2} - 6 {m}^{2} \\ = 18 {m}^{2} [/tex]

Answer:

18 m^2

Step by step explanation:

In these types of math problems, we have two ways to solve.

1) Directly find the area of the shaded area.

2)Find the unshaded area and then minus that from the total area.

In this case, I will use the second way.

The grass area (unshaded) is 3 x 2 = 6 m^2 ( 6 square meters )

The total area (grass + cement) is 4 x 6 = 24 m^2 ( 24 square meters )

Now, we want the area of the cement part but the grass's area is also in the total.

So, we minus 6m^2 from 24m^2.

Then we get 18m^2.

And that is the answer.

I hope it helps.

(Note : because this problem is easy, you can use both ways but most use the second way. There may also be problems where we can use only the first or second way.)

Answer: 6+x−2/x

Step-by-step explanation:

3x/x+3+x−2/x

3+3+x−2/x

6+x−2/x

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

Or, if you love crazy fractions:

3x/x+3+x−2/x

3x/x−2/x+3+x

(1/x)(3x−2)+3+x

Answer:

D

Reasoning:

Anything that is divided by zero is undefined.

4

Review

To evaluate the expression, lets use BODMAS. Before we get to the solving part, lets revise BODMAS.

=> B in BODMAS is brackets. This means that whatever operations are inside a bracket, we must solve that first.

=> O in BODMAS is Orders. The O is used very rarely, there is a possibility that there is no powers, exponents.

=> D in BODMAS is Division. This means that whatever division is occurring in the expression must be done first (Unless if there is a bracket).

=> M in BODMAS is Multiplication. This means that whatever multiplication is occurring in the expression must be done next.

=> A in BODMAS is Addition. This means that whatever addition is occurring in the expression must be done then.

=> S in BODMAS is Subtraction. This means that whatever subtraction is occurring in the expression must be done last.

Now, lets get to the point. We need to find the expression '2−[(2+10(−1)÷2)+1]'. Using the help of BODMAS, we can solve it.

Step 1: Simplify the innermost bracket.

2 − [( 2 + 10(−1)÷2)+1]

=> 2-[(2-10÷2)+1]

Note: Since in the innermost bracket there is no operation, we can open the innermost bracket and get along with the second inner bracket.

Step 2: Simplify the second inner bracket.

=> 2 - [(2 - 10 ÷ 2) + 1]

=> 2 - [(2 - 5) + 1]

=> 2 - [(-3) + 1]

=> 2 - [-3 + 1]

Step 3: Simplify the third inner bracket.

=> 2 - [-3 + 1]

=> 2 + 2

Step 4: Solve.

=>  2 + 2

=> 4

Final Answer.

Therefore, 4 is our answer after working on this problem.

Answer:

4

Step-by-step explanation:the answer is 4 because you have to 20 2-2+10 and that is ten. then minus one is 9 then 9/2=3 and then 3+1 equals 4

Answer:

l = 21

w = 9

P = 60

Step-by-step explanation:

l = 12 + w

A = l*w = 45

substitute l = 12 +w

45 = (12 + w) * w

45 = 12w + w^2

w^2 + 12w - 45 = 0

w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)

(w + 6) ^2 = 45+36 = 81

w + 6 = +-9

As width cannot be negative w = 9

so l = 12 + 9

= 21

Perimeter = P = 2 (l + b)

= 2 ( 21 + 9)

= 2 (30)

= 60

Answer:

7.89 seconds

Step-by-step explanation:

using the quadratic formula (-b+-√(b^2-4ac))/2a

a=-16 b=119 c=57

x=-0.451

and

x=7.889

time cant be negative so use the positive x

Time required for the rocket to hit the ground would be 7.9 s.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation as;

-16x² + 119x + 57 = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

Here, a = -16, b = 119 and c = 57

b² - 4ac = (119 )² - 4(-16)(57)

= 14161 + 3648

= 17809

So, x = [-(119) ± √17809]/ 16(2)

= (-119 ± 133.4)/32

Therefore, the time is 7.9 s.

Learn more about quadratic equations;

brainly.com/question/17177510

#SPJ2

Answer:

35 5/27

Step-by-step explanation:

You just have to set up an equation:

0.9/95 = 1/x

And if you cross-multiply, you get:

0.9x=95

Which means x is 95/0.9 which is 105 5/9. So, if all three t-shirts costed 105 5/9, and they all costed the same, then one t-shirt costs 35 5/27.

Answer:

6p=13+5

6p=18

p=18/6

p=3

Answer:

3 blocks a minute

Step-by-step explanation:

so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute

Answer:

10 or 25

Step-by-step explanation:

25 is a factor of 50

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

[tex]\sqrt{100}[/tex] + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

[tex]\sqrt{100}[/tex] + [24 - 15]  - (60 - 49 - 1)

[tex]\sqrt{100}[/tex] + 9 - 10

10 + 9 - 10

Answer = 9

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

Answer:

120m2

$6.25

$4.50

85

57

12

12

32

54

69

87

89

12

34

58

Answer:

[tex]5\times10^3[/tex]

Step-by-step explanation:

[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]

Exponents are positive:

[tex]3.5.5.0.0.0.0. = 3550000[/tex]

[tex]7.1.0.=710[/tex]

[tex]3550000 \div 710 = 5000[/tex]

Convert back into scientific notation:

[tex]5000 = 5 \times 10^3[/tex]

[tex]= 5 \times10^3[/tex]

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

Hello there! (:

The answer is 9.

3^4=3*3*3*3 (81)

3^2=9

81:9=9

So the answer is 9.

Hope it helps! If you have any question or query, feel free to ask! (:

~An excited gal

[tex]SparklingFlower[/tex]

Sal can make 10 bracelets

Answer:

-4 9/10, -4 3/4, -4.2

Step-by-step explanation:

A. -4.9

B. -4.75

C. -4.2

ANSWER:

-4 9

10

-4 3

10

-4.2

Step-by-step explanation:

HOPE IT HELPSSSS

Answer:

24 I hope help you yieeeeeee

Answer:

ummmmmmmmmmm itsssssssss

Step-by-step explanation:

Answer:

28roses 70carnations

Step-by-step explanation:

4+6+8+10=28

10+15+20+25=70

Maybe i think

Answer:

First is, second is not.

Step-by-step explanation:

Start plugging them!

[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]

First one is true, so the pair is a solution.

Second is false, (4 is obviously bigger!) so it's not a solution.

If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay

Answer:

B is going to be our answer

Step-by-step explanation:

We said that we want each row to contain 40 beets

We divided and got 195 rows, with a remainder of 15.

This makes statement B true.

8 x 3 = 24 for should be 24

Only because 8 times larger than three seems like a multiplication problem..

I hope this helps if it is correct!

Answer:

(8+1) x 3 = 27

Step-by-step explanation:

this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.

Answer:

He could drive 52.006 miles

Step-by-step explanation:

Answer:

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is

y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and trig functions of the acute angles. It tells you ...

  Sin = Opposite/Hypotenuse

  sin(R) = 24/26 = 12/13

and ...

  Tan = Opposite/Adjacent

  tan(T) = 10/24 = 5/12

Answer: SIN = R and TAN = T