Five members of the Varsity Math team are running late for a big
competition and hurrying toward the arena - but they forgot that they would
have to cross the stream that cuts through campus. When they reach the
stream, there's a small boat tied up on their side that they can "borrow” to get
to the other side.
The boat will hold one, two or three of the students, but not more.
Fortunately, two of the team members are also on the crew team, and when
the boat contains only one or both of them, they can make it across the stream
in one minute. Unfortunately, the other three teammates are very
inexperienced with boats, and when any of them is aboard, there is so much
awkwardness and flailing that the crossing will take four minutes, regardless
of whether one of the crew teammates is on board.

Answer:9

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Therefore,

LCM(6, 8, 9) = 72

Answer:

Samuel's function will have the greatest rate of change.

Step-by-step explanation:

Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.

Answer:

XAㅗYZ

XA is perpendicular to YZ

HOPE THIS WILL HELP YOU..!

Answer: 2 + 0.7 + 0.06

Step-by-step explanation:

Expanded form is a method of writing numbers in such a way that the mathematics value of their individual digits would be shown.

Therefore, 2.76 inches in expanded form would be:

= 2 + 0.7 + 0.06

The above shows the units value, tenths value and the hundredths value of the number.

Answer:

y=1/2x+1/2

Step-by-step explanation:

plot the points

we know the y-intercept is 1/2 because of (0,1/2)

count how many times it goes up and how many times it goes down

then simplify your slope

write in y=mx+b form

Answer:

Option (a)

Step-by-step explanation:

This question is incomplete without statements; find the statements as followed,

a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.

c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.

d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.

Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.

m∠AEB = 90° [Diagonals of a square intersect each other at 90°]

In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.

Therefore, Option (a) is correct.

Answer:

b=−mx+y

Step-by-step explanation:

Answer:

[tex]x^{2}+y^{2}-x[/tex]

Step-by-step explanation:

combine like terms:

(3x²+2y²-3x) ₋ (2x²+y²- 2x)

3x² - 2x² = 1x² = x²

2y² - y² = 1y² = y²

(-3x) - (-2x) = -1x = -x

x² + y² -x

Answer:

The first one is B because 5 times 7 is 35 and you put it as a fraction and the second one is B  because the answer is 35/16 and if you simplify it the answer would be 2 3/16

Step-by-step explanation:

Answer:

He can run 112 yards in 12 seconds

Step-by-step explanation:

Here, we want to know the number of yards he can run in 12 seconds

From the question, we are told that his running rate is 38 yards in 4 seconds

So the number of yards he can run in 12 seconds will be;

38 * 12/4

= 38 * 3 = 114 yards

Answer:

See below

Step-by-step explanation:

a). 3y-6x=48

soln

or, 3xy=48

or, xy=48÷3

or, xy=32,,

b). y=3x+11

soln

or, y=13x

or, xy=13,,

Answer:

true

Step-by-step explanation:

Answer:

answer is 3

because first we add 4+2=6

the sum of the line is 6 then we will got

x+3=6

x=6-3

x=3

Step-by-step explanation:

hope my answer is helpful to you

plz mark me as brainlist

Answer:

[tex] (\frac{( {4}^{2} )( {y}^{2} )}{( {2}^{3} )( {x}^{3} )( {x}^{4} )( {y}^{6} )}) ^{2} [/tex]

[tex]( \frac{({2}^{4} )( {y}^{2} )}{ ( {2}^{3} )( {x}^{7} ) ( {y}^{6} )} ) ^{2} [/tex]

So, you can do next by using basic of

Ex.

[tex] {a}^{2} {a}^{4} = {a}^{2 + 4} = {a}^{6} [/tex]

[tex] \frac{ {b}^{5} }{ {b}^{3} } = {b}^{5 - 3} = {b}^{2} [/tex]

Answer:

12.72 dollars per hour

Step-by-step explanation:

Her original money is $12 per hour. We know that 6% in a decimal is 0.06. But if we multiply 0.06 and $12, it would get an answer that is decreasing than increasing. So we can get this equation. 12+0.06*12. ( 12 dollars plus 6% of 12 dollars)  If we divide by 12, we get: 12( 0.06+1). 0.06+1=1.06. And 1.06*12 is 12.72 dollars per hour now.  I hope this helps your question!

Answer: B

Step-by-step explanation:

Answer:

let H represent the head's outcome

let T represents the outcome of tails.

if the coin is tossed 3times The total number outcomes are

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Answer:

B. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5

Step-by-step explanation:

It is a quadratic and in the form:

f(x) = a(x-h)^2 + k

In this case a = 5, and if a is greater than  1, then the parabola is vertically stretched. It is not vertically compressed because a is not less than 1.

h and k are irrelevant because there are no horizontal or vertical shifts in the graph.

Therefore, when compared to f(x) = x^2, the graph has only been vertically stretched by a factor of 5.

Answer:

the graph of g(x) is the graph of f(x) vertically stretched by a factor of 5

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

The coefficient is the number before the variable.

Answer:

10. y=-4x+3

12. y=[tex]\frac{1}{2}[/tex]x+3

Step-by-step explanation:

In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.

1. Put the given equations into slope-intercept form. (y=mx+b)

2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12: [tex]\frac{1}{2}[/tex])

3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.

Answer:

d)25cm,20cm

c)6,3

Step-by-step explanation:

d)P=2(l+b)

90=2(l+b)

l+b=90/2

l+b=45

A=l×b

500=lb

l=45-b

500=(45-b)b

500=45b-b²

b²-45b+500=0

b²-25b-20b+500=0

b(b-25)-20(b-25)=0

(b-20)(b-25)=0

b=20 or b=25

c)a×b=18

a+b=9

a=9-b

(9-b)b=18

9b-b²=18

b²-9b+18=0

b²-6b-3b+18=0

b(b-6)-3(b-6)=0

(b-3)(b-6)=0

b=3 or b=6

Answer:

d)2cm,d)20cm

c)6,3 answer

The total saved amount for Jorge, Janet and Rob is $55.8

Mathematical Expressions are statements that have at least two terms that include numbers, variables, or even both, and are linked by an operator.

Jorge has saved $ 15.50

Janet's saving is [tex]\frac{1}{5}\times \$15.50[/tex]

That is, Janet has saved [tex]\$3.1[/tex]

Rob's saving is [tex]12\times\$3.1[/tex]

Thus, Rob has saved [tex]\$37.2[/tex]

So, the mathematical expression for the total saved amount of all three is given below.

$15.50 + $3.1 + $37.2 = $55.8

Simplify the above mathematical expression.

Therefore, The total saved amount for Jorge, Janet and Rob is $55.8

Learn more about the mathematical expression here-

https://brainly.com/question/14462529

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Answer:

I think what you got is correct

The percentage of incorrect problems is 25%.

Option D is the correct answer.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of problems = 20

Number of correct problems = 15

The number of incorrect problems.

= 20 - 15

= 5

The percentage of incorrect problems.

= 5/20 x 100

= 25%

Thus,

25% were incorrect problems

Learn more about percentages here:

https://brainly.com/question/11403063

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Answer: if you see my picture that the answer for your question

Step-by-step explanation: hope this help

Answer:

f(-4) = 4

Step-by-step explanation:

We know that f(x) = y.

We also know that f(-4) means that x = -4.

The y value of (-4, y) is 4, therefore... f(-4) = 4.

There is no equation, what is the equation?

Answer:

what is the equation

Step-by-step explanation:

Answer:

A and B those are the answers

Answer:

A and B

Step-by-step explanation:

Both multiply to become a bigger price