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frutty [35]
3 years ago
8

A group of workers can plant 8 1/4 acres in 5 1/2 days.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0
Answer: 3/2 acre per day

Explanation:

8 1/4 = 33/4

5 1/2 = 11/2

Find the unit rate in acre per day:

(33/4) divide by (11/2)

33/4 x 2/11 = 3/2
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Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!
noname [10]

Answer:

x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

x^2-3x-5=0

<u>Define the variables</u>:

\implies a=1, \quad b=-3, \quad c=-5

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}

\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}

\implies x=\dfrac{3 \pm \sqrt{29}}{2}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}

Learn more about the quadratic formula here:

brainly.com/question/27868610

brainly.com/question/27750885

8 0
2 years ago
Read 2 more answers
a science museum offers tours for school groups with 20 or more students. the tour costs $100 plus $3.50 for every student in ex
ohaa [14]
The total paid was $345.  Twenty students cost $100.00.  $345-4100=$245
245/3.50=70 additional students.  70+20=90 students went on the tour
5 0
3 years ago
Read 2 more answers
14. The sum of the digits of a certain two-digit number is 4. When you reverse its digits you decrease the number by 18. What is
kipiarov [429]

Step-by-step explanation:

If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y

If you reverse the digits then the number is equal to 10*Y + X

If reversing the digits decreases the number by 36 then

10*Y + X = 10*X + Y - 36

The sum of the digits is 4 so X + Y = 4 ==> X = 4 - Y

Substitute this value of X into the 1st equation

10*Y + (4 - Y) = 10*(4 - Y) + Y - 36

9*Y + 4 = 40 - 9*Y - 36

18*Y = 0

Y = 0

I hope it helps you

So X = 4 - 0 = 4 and the number is 40

so, let's check 40 - 04 = 36

5 0
3 years ago
Yeah, uhm can someone help me with this?
hram777 [196]

Answer:

-24

Step-by-step explanation:

x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24

8 0
3 years ago
A tabletop in the shape of a trapezoid has an area of 6,550 square centimeters. It's longer base measures 115 centimeters, and s
mrs_skeptik [129]
0.5h(115 + 85) = 6550
0.5h(200) = 6550
100h = 6550
h = 655 cms

height is 655 cms

5 0
3 years ago
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