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miss Akunina [59]
2 years ago
5

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v

alue for x into the second equation: 3. Solve for y: 4. Substitute y into either original equation: 5. Write the solution as an ordered pair:
Mathematics
2 answers:
Anettt [7]2 years ago
5 0
X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-6y + 4y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)
Finger [1]2 years ago
5 0

Answer:

-2,3. I know this because I got it correct on Edge.

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If the area of a square is 36 square unit what si the length of a side of the square​
kodGreya [7K]

Answer:

The length of the square is 6 units.

Step-by-step explanation:

Given that all sides of the square are the same and the area of square formula is A = length×breadth. So let's make x as the sides :

area = length \times breadth

let \: area = 36 \\ let \: sides \:  = x

36 = x \times x

{x}^{2}  = 36

x = ± \sqrt{36}

x = 6 \: units

x =  - 6 \: (rejected)

6 0
2 years ago
Read 2 more answers
What is 1/4 subtract 1 and 1/2 A. 1/2 B. 1/8 C. 3/4 D. 3/8
Lelu [443]

Answer:

-1 1/4

Step-by-step explanation:

1/4 - (1 1/2)

Get a common denominator

1/4 - 1 2/4

Take the larger number and subtract the smaller number and take the sign of the larger

1 2/4 - 1/4 = 1 1/4

The sign of the larger was negative

-1 1/4

3 0
3 years ago
Tom borrowed $35,000 to remodel his house. At the end of 5-year loan, he had repaid a total of $46,375. At what simple interest
Wewaii [24]
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I</em> is the amount of interest, <em>p</em> is the principal borrowed, <em>r</em> is the interest rate written as a decimal number, and <em>t</em> is the amount of time in years.  First we find the amount of interest.  He borrowed $35000 but paid back $46375.  That means he paid 46375-35000 = $11375 in interest.  We can now substitute our information into our interest formula:
11375=35000(<em>r</em>)(5)
11375=35000(5)(<em>r</em>) ----- remember that multiplication is commutative
11375=175000<em>r</em>
Divide both sides by 175000 to cancel it:
11375/175000 = 175000<em>r</em>/175000
0.065 = <em>r</em>
To convert this to a percentage, we multiply by 100:
0.065(100) = 6.5%
5 0
2 years ago
The ratio of the dide lengths of a triangle is 2 : 4 and the perimeter is 55 cm what is the length of the shortest side
photoshop1234 [79]
10cm is the length of the shortest side
7 0
3 years ago
A random variable r is normally distributed with a mean of 7 and a standard deviation of 1.5. Find the value of w so that P (8.8
a_sh-v [17]

Answer:

The answer is explained below

Step-by-step explanation:

Given that:

mean (μ) = 7 and standard deviation (σ) = 1.5.

The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:

z=\frac{x-\mu}{\sigma}, where\ x\ is\ the \ raw\ score

To find the Probability that x < 8.8, we first find the z score using:

z = \frac{x-\mu}{\sigma}=\frac{8.8-7}{1.5}=1.2

From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%

4 0
2 years ago
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