Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.
• He can travel forward (positive 5, 6, 8)
• backward negative (-5, -6-8)
can go past the ladder and come back.
.
Show TWO number expressions that will represent a way for Cecil to cross a tightrope of
12 feet. ONE way MUST use a negative.
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Answer:

0.125

Step-by-step explanation:

1/8=0.125

Answer:

[tex](4,5)\ or\ x=4,y=5[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\[/tex]

[tex]Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)[/tex]

Answer:

The solution of the system of equations will be:

[tex]y=5,\:x=4[/tex]

Step-by-step explanation:

Given the system of equation

[tex]\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}[/tex]

so

[tex]y+x=9[/tex]

[tex]-[/tex]

[tex]\underline{y-2x=-3}[/tex]

[tex]3x=12[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}[/tex]

solve 3x=12 for x

[tex]3x=12[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

[tex]x=4[/tex]

[tex]\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4[/tex]

[tex]y-2\cdot \:4=-3[/tex]

[tex]y-8=-3[/tex]

Add 8 to both sides

[tex]y-8+8=-3+8[/tex]

[tex]y=5[/tex]

Thus, the solution of the system of equations will be:

[tex]y=5,\:x=4[/tex]

Answer:

6[tex]x^{8}[/tex][tex]y^{5}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

3x²[tex]y^{4}[/tex] × 2[tex]x^{6}[/tex]y, then

3 × 2 × x² × [tex]x^{6}[/tex] × [tex]y^{4}[/tex] × [tex]y^{1}[/tex]

= 6 × [tex]x^{(2+6)}[/tex] × [tex]y^{(4+1)}[/tex]

= 6[tex]x^{8}[/tex][tex]y^{5}[/tex]

Step-by-step explanation:

Number of Combinations

= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5

= 1 + 25 + 300 + 2300 + 12650 + 53130

= 68,406.

There are a total of 68,406 combinations.

Answer:

6

Step-by-step explanation:

Answer: d) b = 12

2/3.b - 1/3.b + 12 = 16

⇔ 1/3. b = 16 - 12

⇔ 1/3.b = 4

⇔ b = 4.3 = 12

Step-by-step explanation:

Answer:

b = 12

Step-by-step explanation:

2/3 b - 1/3 b + 12 = 16

or, 2b/3 - b/3 + 12 = 16

or, 2b -b/ 3 + 12 = 16

or, 2b - b = 16 - 12

or, b = 4 × 3

therefore, b = 12

Given:

Table of values.

To find:

The equation in point slope form.

Solution:

From the given table it is clear that, the relationship is linear because the rate of change is constant because if x-value increases by 2 then y-values increases by 16.

Consider any two points from the table, i.e., (2,16) and (4,32).

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{32-16}{4-2}[/tex]

[tex]Slope=\dfrac{16}{2}[/tex]

[tex]Slope=8[/tex]

The point is (2,16) and the slope is 8, so the point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-16=8(x-2)[/tex]

Therefore, the relationship is linear and point slope form is [tex]y-16=8(x-2)[/tex].

Answer:

y - 16 = 8(x - 2)

Answer:

I (interest) = £ 2,080.17

Step-by-step explanation:

Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of interest perrie will get after 3 years.

To solve the above question, we would use the Periodic compound interest formula

A = P(1 + r) ^t

Where P = Principal = £25000

r = Interest rate = 2.7 % = 0.027

t = time in years = 3 years

Hence:

A = £25,000( 1 + 0.027)³

A = £27,080.17

A = P + I where

P (principal) = £ 25,000.00

I (interest) = £27,080.17 - £ 25,000.00

I (interest) = £ 2,080.17

The total amount of interest perrie will get after 3 years is £ 2,080.17

Given:

The graph shows the relationship between the number of pounds of  apples purchased and the total cost of the apples.

To find:

The cost of 1 pound of apples.

Solution:

We need to find the slope of the line to get the cost of 1 pound of apples.

From the given graph it is clear that the line passes through two points (0,0) and (2,3). So, the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-0}{2-0}[/tex]

[tex]m=\dfrac{3}{2}[/tex]

[tex]m=1.5[/tex]

Therefore, the cost of 1 pound of apples is $1.5.

Answer:

1.5

Step-by-step explanation:

Answer:hi

Step-by-step explanation:

Answer:

x = 54

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-12(x + 4) + 14x = 60

Step 2: Solve for x

Answer:

x = 54

Step-by-step explanation:

-12(x + 4) + 14x = 60

i) distribute -12 to the whole parentheses of (x+4)

(-12 × x) + (-12 × 4) + 14x = 60

-12x - 48 + 14x = 60

ii) collect like terms

-12x + 14x - 48 = 60

2x - 48 = 60

iii) move constant to the right-hand side and change its sign

2x = 60 + 48

iv) add the numbers

2x = 108

v) divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{108}{2} [/tex]

x = 54

Answer:

m=3/2

Step-by-step explanation:

Answer:

x = 16 treata

Step-by-step explanation:

Let us represent x = Number of treats that Tim can buy

We are told that: Tim does not want to spend more than $62.00 in all.

= Time wants to spend less than or equal to $62.00

Tim is going to an amusement park that cost $30.00 to get into.Treats like cotton candy carmel apples and funnel cakes cost 2.00 dollars each .

Therefore, our inequality equation =

$30.00 + $2.00 × x ≤ $62.00

30 + 2x ≤ 62

Solving for x

30 + 2x ≤ 62

2x ≤ 62 - 30

2x ≤ 32

x ≤ 32/2

x ≤ 16

Hence, Tim can buy no more than(less than or equal to ) 16 treats

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

please give brainliest

Answer:

19ft

Step-by-step explanation:

76÷4-- because a square has 4 sides

=19ft

19+19+19+19

=76

Answer:

nineteen. division by four

9514 1404 393

Answer:

  A

Step-by-step explanation:

Collecting terms of the expression, we have ...

  x + 0.1x = x(1 +0.1) = 1.1x

In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.

Answer:

the student is wrong

Step-by-step explanation:

the og directions said 3 scoops / 1 gallon / 1 pitcher. if you are using 12 scoops, then the gallons of water will be proportional, meaning 3x4=12 scoops / 1x4=4 gallons / 1x4=4 pitchers. if you x4 to one of them, then the directly porportinal values also have to be multiplied by the same number, hence making the student wrong since they should have 4 gallons for 12 scoops

Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

couldn't be me

Step-by-step explanation:

Answer:

A straight line passing through the origin

Step-by-step explanation:

A proportional relationship will have a particular quantity being related to another

For example, the relationship might be inverse or direct

In this case, we can have a straight line graph that passes through the origin

A straight line graph that passes through the origin would show the proportional relationship as it has no slope whatsoever

Answer: 13m

Step-by-step explanation:

A^2+ B^2= C^2

5^2+ 12^2= c^2

169= C^2

then square root the 169 to get 13

Answer:

Check my link.

Step-by-step explanation:

Brainly keeps on saying my question either has a link or is inappropriate, and it neither has a link nor is inappropriate.

I have no clue as to what to correct.

Answer:

[tex] \huge\frac{ \sqrt{6} }{ \sqrt{5} } = \frac{ \sqrt{30} }{5} [/tex]

Complete Question

Mr Brown has 2 children are going to london by train

1 adult costs £24 and child ticket costs 12

The Family Railcard offers:

1/3 off adults tickets and 60% off child ticket

What is the total cost of tickets when Mr Brown uses the Family Railcard

Answer:

£25.60

Step-by-step explanation:

From the question:

1 adult costs £24

The Family Railcard offers:

1/3 off adults tickets.

Hence:

1/3 × £24 = £8

The cost for Mr Brown = £24 - £8

= £16

Child ticket costs £12

The Family Railcard offers:

60% off child ticket

Hence = 60% × £12

= 60/100 × £12

= £7.2

The cost for 1 child = £12 - £7.2

= £4.8

The total cost of tickets when Mr Brown uses the Family Railcard is:

Cost for Mr Brown + Cost for his 2 Children

£16 + 2 × £4.8

£16 + £9.6

= £25.60

Answer:

Step-by-step explanation:

Wheelbarrows  is 30/3 = 10

Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2

2 Seed bags is 4 - 2 = 2 so one bag is 1

Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21

9514 1404 393

Answer:

  -108

Step-by-step explanation:

About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.

  [tex]a_1=4\\\\a_2=-3a_1=-3(4)=-12\\\\a_3=-3a_2=-3(-12)=36\\\\a_4=-3a_3=-3(36)=-108\\\\\boxed{a_4=-108}[/tex]

_____

Alternate solution

You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...

  [tex]a_n=a_1\cdot r^{n-1} \qquad\text{for first term $a_1$ and common ratio $r$}[/tex]

Then the 4th term will be ...

  [tex]a_4=4\cdot(-3)^{4-1}=4\cdot(-27)=-108[/tex]

Answer:

x= 5.9

Step-by-step explanation:

Answer:

please be more specific in your answer.

Step-by-step explanation:

i know that if it has a positive y coordinate then it would mean it has to be above the x-axis but thats all i can tell you from this.