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shepuryov [24]
3 years ago
12

.......................​

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Hey again!

The answer to your question is 98 feet squared

First, we find the new dimensions:

7 x 2 = 14

3.5 x 2 = 7

Area = length x width, so 14 x 7 = 98

Hope it helps!

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Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.
Bogdan [553]

Answer:  The correct option is (B) less than 2.

Step-by-step explanation:  Given that Y varies directly with X and has a constant rate of change of 6.

We are to find the possible value of X when the value of Y is 11.

Since Y varies directly with X, so we can write

Y\propto X\\\\\Rightarrow Y=kx~~~~~~~~~~~~~~~(i),~~~~~~~~~\textup{[where 'k' is the constant of variation]}

Since the rate of change is constant and is equal to 6, so we must have

k=6.

So, from equation (i), we have

Y=kX\\\\\Rightarrow Y=6X~~~~~~~~~~~~~~~~~~~~~~(ii)

Now, when Y = 11, then from equation (ii), we get

Y=6X\\\\\Rightarrow 11=6X\\\\\Rightarrow X=\dfrac{11}{6}

Thus, the value of X is less than 2 when Y = 11.

Option (B) is CORRECT.

8 0
3 years ago
Lionel is planning a one-day outing.
pychu [463]

Answer:

Option B - y=5x+40 and  y=3x+60

Step-by-step explanation:

Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Solution :

Let x be the number of rides and

y be the cost per ride.

According to question,

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.

The equation form is y=40+5x

The Splash water park charges an entry fee of $60 and an additional $3 per ride.

The equation form is y=60+3x

Therefore, The required system of equations form are

y=5x+40 and  y=3x+60

So,Option B is correct.

6 0
4 years ago
Read 2 more answers
Write an equation for the nth term of each geometric sequence:<br>5, 10, 20, 40,​
Nataliya [291]

Answer:

a(n) = 5*2^(n-1)

Step-by-step explanation:

The nth term of a geometric series is given by the relation :

a(n) = ar^(n-1)

Where, a = first term ; r = common ratio ; a(n) = nth term of the series.

Given the series : 5, 10, 20, 40,​

First term, a = 5

Common ratio = a2/ a1 = a3/a2

Common ratio = 10/5 = 20/10

Common ratio = 2 = 2

Hence, nth term =

a(n) = 5*2^(n-1)

4 0
3 years ago
2. If all the letters in the word ENVELOPE are randomly rearranged, what is the probability the letters will
Aleonysh [2.5K]
The answer is D sorry if it’s wrong
6 0
3 years ago
Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS
skad [1K]

Answer:

m∠A and m∠B = 130°

m∠D = 50°

Step-by-step explanation:

If all angles equal 360° and angles A and B are equal then we know the A + D and B + C equal 180° then it's simple subtraction to figure out the degrees of all the angles

7 0
3 years ago
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