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kolbaska11 [484]
3 years ago
8

Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation elimin

ates the y terms? Negative StartFraction 5 Over 8 EndFraction x + three-fourths y = 12 8 x + 12 y = 11
Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

10x - 12y = 192

Step-by-step explanation:

Given the equation :

-5/8x + 3/4y = 12 - - - (1)

8x + 12y = 11 ___(2)

The equivalent form of the first equation which can eliminate the y term :

Multiply (1) by - 16 :

-5/8x * - 16 + 3/4y * - 16 = 12 * - 16

10x - 12y = 192

Hence, Adding the obtained equation and equation(2) will eliminate.

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Answer:

<em>The true average weight of geese is less than or equal to 40 pounds</em>

Step-by-step explanation:

The null hypothesis and the alternative hypothesis are two mutually exclusive statements or hypotheses that are made about a population. The purpose is to find out if, through a study of the data, sufficient evidence is obtained to reject one and accept another

The null hypothesis is denoted as H_0 and the alternative hypothesis as H_1

As they are two mutually exclusive statements then if

H_0: <em>"The true average weight of the geese is greater than 40 pounds"</em>

the alternative hypothesis must be the opposite of the null hypothesis

H_1: <em>"The true average weight of geese is less than or equal to 40 pounds"</em>

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The circumference of a circle is 15n cm what is the area of the circle in terms of n
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Area of circle is \dfrac{225n^{2}}{4\pi} cm^{2}

Step-by-step explanation:

Formula for circumference of circle is given as,

C=2\pi r

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Substituting the value,

15n=2\pi r

Solving above equation for r, divide both side by 2\pi

\dfrac{15n}{2\pi}=\dfrac{2\pi r}{2\pi}

Simplifying,

\dfrac{15n}{2\pi}=r

Formula for area of circle is given as,

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Substituting the value of r,

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Squaring the parenthesis,

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Cancelling out the common term,

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