The Bionic Woman gives Batman a 12 second
start in a 2 kilometre race. If the Bionic Woman
runs at 5 km/min, and Batman runs at 3 km/
min, who will win the race and by how many
seconds?

Answer:

The length of XY is 32

Step-by-step explanation:

Notice that you have a bisector segment (that divides the segment XY  into two equal parts.

since these parts are equal, they must satisfy:

3 x + 1 = 8 x - 24

so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:

1 + 24 = 8 x - 3 x

25 = 5 x

then x = 25/5 = 5

then,now you can find the length of XY as the addition of both parts:

3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32

Answer:

22 degrees

Step-by-step explanation:

90-68=22

Answer:

i think it c

Step-by-step explanation:

Answer:

Step-by-step explanation:

let

LM = 2x + 9

MN = 13x-5

NL = 36 – x

find: x

Greetings from Brasil...

First we will solve the power:

(- 2)⁴ = (- 2)·(- 2)·(- 2)·(- 2) = + 16

rewriting our expression

15 + 48 ÷ (–2)⁴

15 + 48 ÷ 16

(the division / multiplication has priority over the addition / subtraction, so let's do the division first  48 ÷ 16 = 3)

15 + 3

Answer:

B

Step-by-step explanation:

soln

=108 ÷36×1/4+2/5×13/4

=108÷9+2/5×13/4

=12+2/5×13/4

=12+13/10

=133/10✅

Answer:

2. x > 17

3. x ≤ 7

4. a < 4

5. t ≥ -2

Step-by-step explanation:

Answer:

-32x + 32

Step-by-step explanation:

7(-3x + 2) - 11x + 18

( -7 * 3x + 7 * 2) - 11x + 18

-21x + 14 - 11x + 18

-21x - 11x + 14 + 18

-32x + 32

Hi

a number is  additive inverse if  the sum =0

so 0    as the additive inverse of 12 would be -12.

and the additive inverse of -12  is 12 (it works both ways)

The sum of number 12 and the additive inverse of 12 is given by the equation A = 12 - 12 = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n = 12

Now , the additive inverse of the number 12 = -12

So , the sum of 12 and -12 is given by the equation ,

A = 12 - 12

A = 0

Therefore , the value of A is 0

Hence , the sum of the two numbers is 0

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

a: 0.2

b: 0.4

c: 0.95

Step-by-step explanation:

the whole probability is 1, use 1 to subtract and you will find the answer

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{540 \: m}}}}}[/tex]

Step-by-step explanation:

Let the length and breadth be 5x and 4x respectively.

Area of rectangular field = 18000 m²

Finding the value of x

Area of rectangle = [tex] \sf{l \times b}[/tex]

Plug the values

⇒[tex] \sf{18000 = 5x \times 4x}[/tex]

Calculate the product

⇒[tex] \sf{18000 = 20 {x}^{2} }[/tex]

Swap the sides of the equation

⇒[tex] \sf{20 {x}^{2} = 18000}[/tex]

Divide both sides of the equation by 20

⇒[tex] \sf{ \frac{20 {x}^{2} }{20} = \frac{18000}{20} }[/tex]

Calculate

⇒[tex] \sf{ {x}^{2} = 900}[/tex]

Squaring on both sides

⇒[tex] \sf{x = 30}[/tex]

Replacing the value of x in order to find the value of length and breadth

Length = [tex] \sf{5x = 5 \times 30 = 150 \: m}[/tex]

Breadth = [tex] \sf{4x = 4 \times 30 = 120 \: m}[/tex]

Finding the perimeter of the rectangular field

Perimeter of rectangle = [tex] \sf{2(l + b)}[/tex]

plug the values

⇒[tex] \sf{2(150 + 120)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{300 + 240}[/tex]

Add the numbers

⇒[tex] \sf{540 \: m}[/tex]

Hope I helped !

Best regards!!

Answer:

Associative properties of multiplication

Answer:

40 pensil

Step-by-step explanation:

Dari pertanyaan di atas, kita diberitahu bahwa:

Dita memiliki 10 kotak pensil

1 kotak pensil = 36 pensil

10 kotak pensil =

Cross Multiply

10 × 36 = 360 pensil.

Dari pertanyaan tersebut, kami diberitahu bahwa Dita memiliki 9 orang teman dan ia membagikan semua pensilnya secara merata kepada mereka di hari ulang tahunnya.

Jumlah pensil yang diterima setiap teman dihitung sebagai:

360 pensil ÷ 9 teman

= 40 pensil.

Oleh karena itu, setiap teman mendapat 40 buah pensil.

Answer:

-1/7

Step-by-step explanation:

Divide the first expression by the second expression.

Answer:

Step-by-step explanation:

y=mx+b

m = 5

x = 7

b = 4

Substitute the values into the above expression and simplify to solve for y

That's

y = 5(7) + 4

y = 35 + 4

We have the final answer as

y = 39

Hope this helps you

Answer:

42=8x+15

Step-by-step explanation:

He spent a total of $42 and $15 of that $42 went to the flowers. It was $x per pound.

Answer:

d. 0

Step-by-step explanation:

Given that:

A rational number is multiplied by a irrational number.

And the result is a rational number.

To find:

Such rational number wil be:

a. [tex]\frac{1}2[/tex]

b. 1

c. [tex]\frac{1}{10 }[/tex]

d. 0

Solution:

Let us consider the given options one by one.

Let the irrational number be = [tex]\pi[/tex]

Checking option a.

Multiply [tex]\pi[/tex] and [tex]\frac{1}2[/tex].

Result is: [tex]\frac{\pi}2[/tex] which is again irrational.

So, a. is not correct.

Checking option b.

Multiply [tex]\pi[/tex] and 1.

Result is: [tex]\pi[/tex] which is again irrational.

So, b. is not correct.

Checking option a.

Multiply [tex]\pi[/tex] and [tex]\frac{1}{10}[/tex].

Result is: [tex]\frac{\pi}{10}[/tex] which is again irrational.

So, c. is not correct.

Checking option d.

Multiply [tex]\pi[/tex] and 0.

Result is: 0 which is rational.

So, d. 0 is the correct answer.

Answer:

Step-by-step explanation:

This problem basically tests our understanding of representing word problems using inequalities and equations.

In the first instance, Lawrence can charge his client an amount that is less than $250, hence all terms to the right should not be greater $250 when executed.

Also, the second expression says that he can also charge more than $700 when hence all terms in the right-hand side should be greater than $700 when executed    

Answer:

A

Step-by-step explanation:

Answer:

x = -7, 7

Step-by-step explanation:

Step 1: Write out equation

-2x² - 9 = -107

Step 2: Add 9 on both sides

-2x² = -98

Step 3: Divide both sides by -2

x² = 49

Step 4: Square root both sides

x = ±7

Step 5: Arrange

-7 < 7

So x = -7, 7

Answer:

[tex]23^{n + 8} = 23^5[/tex].

n = -3.

Step-by-step explanation:

[tex]23^8 * 23^n = 23^5[/tex]

[tex]23^{n + 8} = 23^5[/tex]

Since both sides have the same base (23), we can solve for n.

n + 8 = 5

n = 5 - 8

n = -3.

Hope this helps!

Answer:

[tex]\huge \boxed{n=-3}[/tex]

Step-by-step explanation:

[tex]23^{8} \times 23^{n}=23^{5}[/tex]

[tex]\sf Apply \ rule : a^b \times a^c=a^{b+c}[/tex]

[tex]23^{8+n}=23^{5}[/tex]

[tex]\sf Apply \ rule : a^b=a^c \rightarrow b=c[/tex]

[tex]8+n=5[/tex]

[tex]\sf Subtract \ 8 \ from \ both \ sides.[/tex]

[tex]8+n-8=5-8[/tex]

[tex]n=-3[/tex]

Answer:

Step-by-step explanation:

60 x 60 = 3600

3600 x 24

5280 x 12

I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.

Answer:

n = 1/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(n− 1 /10 )= 1/ 2

Step 1: Simplify both sides of the equation.

5(n− 1 /10 )= 1 /2

(5)(n)+(5)( −1 /10 )= 1/2

(Distribute)

5n +  −1 /2 = 1 /2

Step 2: Add 1/2 to both sides.

5n +  −1 /2  +  1 /2  =  1 /2  +  1 /2

5n=1  

Step 3: Divide both sides by 5.

5n /5  =  1 /5

n=  1 /5

Answer:

domain (-3,3]

range [0,3)

Step-by-step explanation:

The domain is the input or x values

-3 < x ≤3

in interval notation

The parentheses means not include, the bracket means include

(-3,3]

The range is the output or y values

0≤y <3

[0,3)

Answer:

x is equal to six

Step-by-step explanation:

4 × 6 = 24

Answer: There is only one step to this equation. We will use inverse operations to isolate the x by dividing 4 on both sides. (4 is being multiplied by x, and the opposite of multiplication is division.)

4x/4 = x

24/4 = 6

The equation now looks like:

x = 6

x is equal to 6, so this is your answer.

Answer:

299 and 45 if I am correct due to alternate angles and angles adding up to 360

Answer:

1)B+125=180

so,B=55

and x=B=55(alternate angles are equal)

2)a+136=180

so, a=44

3)2x+3x+x=180

or, 6x=18

so, x=3

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

Explanation:

The idea is to plug in the smallest value of the domain, which is x = 1, to get

f(x) = -2x+5

f(1) = -2(1)+5

f(1) = 3

Showing that y = 3 is the largest value in the range. Any larger x value produces a smaller y value. Eg: x = 2 leads to f(2) = 1

So the range is the set of y values such that [tex]y \le 3[/tex] which converts to the interval notation [tex](-\infty, 3][/tex]. This is the interval from negative infinity to 3.

The square bracket says to include the endpoint while the curved parenthesis means we exclude the endpoint. We always exclude infinity as we can't ever reach it.

If b = 1, then the function would be a straight line, f(x) = 1 which isn't exponential.

Answer:

Step-by-step explanation:

To solve first change the mixed number to an improper fraction

That's

So we now have

Move the fraction to the right side of the equation

That's

Since they have the same denominator we can add them directly

We have

we have the final answer as

Hope this helps you

Answer:(-5,4)

Step-by-step explanation:

Just took the test on edge

Answer:

(-5,4)

Step-by-step explanation:

Answer:

r+2.75=3÷0.5

r+2.75=6

r=6-2.75=3.25

Answer:

3.25

Step-by-step explanation:

It's the answer on Khan

Answer:

for the question x is 2 and y is 4

Step by step: