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3 years ago

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it takes Maya 30 minutes to solve 5 logic puzzles, and it takes Amy 28 minutes to solve 4 logic puzzles. use models to show the

rate at which eachstudent solves the puzzles, in minutes per puzzles

1 answer:

7nadin3 [17]3 years ago

8 0

Answer:

Maya ---> $6\ minutes/puzzle$

Amy ----> $7\ minutes/puzzle$

see the procedure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

m ---> the number of minutes

p ---> the number of puzzles

In this problem, the relationship between the variables m and p represent a proportional variation

so

$m=kp$

Maya

it takes Maya 30 minutes to solve 5 logic puzzles

we have

m=30, p=5

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{30}{5}=6\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=6p$

Amy

it takes Maya 28 minutes to solve 4 logic puzzles

we have

m=28, p=4

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{28}{4}=7\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=7p$

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Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she

Leno4ka [110]

Answer:

not sure if the answer is obvious but I'd say $6.89 + t = $8.00

Step-by-step explanation:

so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart

after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this

$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip

now continue checking your answer next is , $6.89 - t = $8.00

which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11

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3 years ago

Find the x - and y - intercepts of the line. X + 3y=6Y intercept: ( , )X intercept: ( , )

pantera1 [17]

ANSWER:

Y intercept: (0, 2)

X intercept: (6, 0)

STEP-BY-STEP EXPLANATION:

We have the following equation:

$x+3y=6$

The x-intercept is when y is equal to 0 and the y-intercept is when x is equal to 0, therefore:

$\begin{gathered} \text{ x-intercept } \\ x+3\cdot0=6 \\ x=6\rightarrow(6,0) \\ \text{ y-intercept } \\ 0+3\cdot y=6 \\ y=\frac{6}{3}=2\rightarrow(0,2) \end{gathered}$

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2 years ago

Is 8/5 proportional to 24/15 ?

DiKsa [7]

Hey there!

The answer to your question is, yes, it is

Given:

$\frac{8}{5}$ $and$ $\frac{24}{15}$

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

$8*15=24*5$

Let's solve it and see if it is true:

$8*15=24*5$

$120=120$

Therefore, they <em>are </em>proportional.

<u>Cross products</u>

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

ALGEBRAIC DEFINITION:

Given two fractions, $\frac{a}{b}$ $and$ $\frac{c}{d}$ , $a*d$ <em>should </em>equal to $b*c$

Hope it helps, and have a terrificly amazing day!

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If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogra

inna [77]

Answer:

2 times

Step-by-step explanation:

the length and breadth of the parallelogram will be l and b, respectively.

Then, perimeter = 2(1 + b) [∵ perimeter of parallelogram = 2 x (length + breadth)]

If both sides are increased twice, then new length and breadth will be 21 and 2b, respectively.

Now, new perimeter = 2(21 + 2b) = 2 x 2(l + b) = 2 times of original perimeter.

the perimeter of parallelogram will be increased 2 times.

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