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Eddi Din [679]
2 years ago
5

Identify the system using any method. 2x + 2y = 3 x = 4y - 1

Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0
Answer is the 2nd choice ( 1, 1/2)

Step by step

Solve for y

Substitute x= value into equation

2(4y -1) + 2y = 3

Distribute multiply

8y - 2 + 2y = 3

Combine
10y -2 = 3

Add 2 to both sides to isolate y

10y -2 + 2 = 3 + 2

Combine

10y = 5

Divide both sides by 10 to solve for y

10/10 y = 5/10

y = 5/10 simplified to 1/2

Now substitute your y value into the equation

x = (4)(1/2) -1

x = 2 - 1

x = 1

Answer is ( 1, 1/2)
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The length of a standard jewel case is 3 cm more than its width. The area of the rectangular top of the case is 304 cm squared.
valentina_108 [34]

Answer:

width = 16 cm

length = 19 cm

Step-by-step explanation:

Let the width be x cm.

Given that length is 3 cm more than width then

length =  x+3 cm

area of rectangle = 304 square cm. -----1

area of rectangle is given by

area =length * width

substituting from equation 1 and length and width in terms of x we have

304 = x(x+3)

=> 304 = x^2+3x\\\\=> 304 -304= x^2+3x -304\\=> 0= x^2+3x -304\\=>  x^2+3x -304 = 0\\=> x^2+19x - 16x -304 = 0\\=> x(x+19 ) -16(x+19) = 0\\=> (x-16) (x+19 )= 0\\x-16 = 0  \ or \ x+19 = 0\\ x= 16 \or \ x = -19

As length cannot be negative hence x = 16

Thus width = x = 16 cm

length = x+3 = 16+3 = 19 cm

6 0
4 years ago
When you multiply 2/3 by a fraction less than one, how does the product compare to the factor
user100 [1]
The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.
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3 years ago
What is the y-intercept in the equation y=4x-3?
cestrela7 [59]
The answer is B. -3
hope this helps!
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True mean = mean+/- Z*(SD/sqrt (n))

Where
Z = 1.96 at 95% confidence interval
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Substituting;
True mean range = 10.3+/- 1.96 * 2.4/Sqrt (37) =10.3+/- 0.77 = 9.53<mean<11.07
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Answer:

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Step-by-step explanation:

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