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Jlenok [28]
3 years ago
10

Which is the better buy? Find the unit rate for each meat. Show your work and explain reasoning.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

You start by changing the fraction into a decimal.

4.5 lb. of ground beef= 16.11

6.25  lb. of ground turkey= 18.50

Next, you divide the amount they cost by the pounds to get the price per pound.

16.11÷4.5= 3.58

18.50÷6.25= 2.96

So, a pound of beef is $3.58, and a pound of turkey is $2.96.

The turkey is 62 cents less than the beef per pound.

That means the turkey is a better buy! :)


(Have a good day! :))



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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
morpeh [17]

Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

  • Answer :

x = -4 or x = 2 ✅

  • Explanation :

<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

  • If b² - 4ac > 0 , There are 2 real-number solutions

  • If b² - 4ac = 0 , There is 1 real-number solution.

  • If b² - 4ac < 0 , There is no real-number solution.

The <em><u>roots</u></em> of the equation are determined by the following calculation:

x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Here, we have :

  • a = 1
  • b = 2
  • c = -8

1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

brainly.com/question/27638369

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2 years ago
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Answer:

21000

Step-by-step explanation:

To find estimate, round all the values to the nearest thousands

5,789 is 6000

8,356 is 8000

6,561 is 7,000

add.

6000+8000+7000

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−76 = −0.8k <br><br> k =<br><br> What number represents k
Over [174]

Answer:

k= 95

Step-by-step explanation:

-76=-0.8k

-76/-0.8=k

95=k

k= 95

8 0
2 years ago
The distance between the post office and the park on a map is 3.75 inches. Each quarter inch on the map represents 0.5 miles. Th
dem82 [27]
The answer is 7.5 miles
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What is the the y-intercept and x-intercept of the line.<br> 4x - 4y= 36
algol13

Answer:

x-intercept: (9,0)

y-intercept: (0,-9)  

Step-by-step explanation:

The x-intercept and y-intercept is the point at which a line intersects the x-axis and y-axis, respectively. All points on the x-axis have a y-value of 0, while all points on the y-axis have an x-value of 0. Thus, to find the x and y intercepts, substitute 0 for one of the variables in the equation, then solve for the other.

1) To find the x-intercept, substitute 0 for y. Then, isolate x.

4x-4(0)=36\\4x-0=36\\4x = 36\\x = 9

So, the x-intercept must be (9,0).

2) To find the y-intercept, substitute 0 for x. Then, isolate y.

4(0)-4y = 36\\0-4y = 36\\-4y = 36\\y = -9

So, the y-intercept must be (0,-9).

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2 years ago
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