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Finger [1]
3 years ago
12

The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5

, 0. Draw a line labeled y equals x minus 1 by joining the ordered pairs negative 1, negative 2 and 5, 4 The x-coordinate of the solution to the system of equations is __________. Answer for Blank 1:
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0
IM NEW HERE I THINK ITS 677
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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
7. A battery manufacturer makes batteries that have a failure rate of .015. That is, 15 out of each 1,000 batteries are defectiv
azamat
The answer to this probability question is .86 or 86%. The probability that a batch of 10,000 batteries will contain at least 175 defective batteries is  86 percent. I calculated the failure rate of 10,000 batteries (10k*.015) and yielded 150, meaning there will be 150 batteries that will be defective in a set of 10,000. Then i divided 150 by 175 to get the probability.
3 0
3 years ago
Tran jumped 162 times in 9 hours. At that rate, how many times would<br> she jump in 10 minutes?
yawa3891 [41]

Answer:

3

Step-by-step explanation:

you first need to convert 9 hours into minutes:

9*60=<u>5</u><u>4</u><u>0</u> minutes

162 jumps ---in--- 540 minutes

? jumps ---in--- 10 minutes

?= (10*162)/540

?= 3

7 0
2 years ago
One student simplified x5 + x5 to x10 . A second student simplified x5 + x5 to 2x5 . Which student is correct? Explain.
dybincka [34]

An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

5 0
1 year ago
Pleaseeeeeee help me 7th grade math
vampirchik [111]

Answer:

11

Step-by-step explanation:

Np bro, I've dealt with these all through 7th XD

8 0
3 years ago
Read 2 more answers
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