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Marina CMI [18]
3 years ago
10

Describe the graph of 2x + y = 11 and 2x + y = 2. Determine the number of solutions.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

\mathrm{No\:Solution}

Step-by-step explanation:

By using comparing the left hand side of the two given equations we have:

\begin{bmatrix}2x+y=11\\ 2x+y=2\end{bmatrix}\\\\\begin{bmatrix}11=2\end{bmatrix}\\\\11=2\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

Best Regards!

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lesantik [10]

Answer:

Diameter=60.79

Step-by-step explanation:

Solution,\\ Circumference(C)=191\\As,\\Circumference=\pi d\\191=\pi d\\\frac{191}{\pi } =d\\d=60.79718826

8 0
3 years ago
Find the volume of the prism
Andrei [34K]

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

\frac{1}{2} \times (a + b) \times h

\frac{1}{2} \times (8 + 14) \times 4

\frac{1}{2} \times 22 \times 4 \\  =  \frac{88}{2}  \\  = 44 {cm}^{3}

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8 0
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Multiples of 6 are also multiples of 3
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Step-by-step explanation:

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To which set or sets does the number 12 belong? real numbers and natural numbers only real numbers, whole numbers, and integers
almond37 [142]
First off, let's take a look at what these numbers are:

Real numbers: It can be any numbers,both rational and irrational.

Natural numbers: The number has to be integer and positive.

Integers: A number without fraction or demical place.

Whole number: The number has to be natural and cannot be negative.

Therefore, as 12 is a positive number with no demical place or fraction, it is real numbers,integers, whole numbers, and natural numbers.

Hope it helps!
5 0
3 years ago
Dennis and Connie purchased a radio for $128. Dennis paid $36 more than Connie. How much did each pay?
never [62]

Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

2c + 36 - 36 = 128 - 36

2c = 92

Divide each side by two,

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Now, to make sure this is correct, let's substitute our c for 46 in our equation:

46 + 46 + 36 = 128

92 + 36 = 128

128 = 128

Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.

6 0
3 years ago
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