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andreev551 [17]

3 years ago

15

How to solve this...

20" id="TexFormula1" title=" \frac{5}{9} + \frac{4}{8} = " alt=" \frac{5}{9} + \frac{4}{8} = " align="absmiddle" class="latex-formula">

1 answer:

Monica [59]3 years ago

4 0

19

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18

or

1.0555555556

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Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen

zimovet [89]

$21.75

4x3=12

7.25x3=$21.75

6 0

3 years ago

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:

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8 0

2 years ago

Read 2 more answers

Avery got 18 questions correct out of 30 on the last quiz. Write the score in decimal form.

s344n2d4d5 [400]

Answer:

0.6

Step-by-step explanation:

1. Since Avery got 18 out of 30 questions right, we can write that as a fraction of $\frac{18}{30}$ .

2. $\frac{18}{30}$

3. $\frac{18}{30} = \frac{3}{5}$

4. $\frac{3}{5} = \frac{60}{100}$

5. $\frac{60}{100} = 0.6$

3 0

3 years ago

Read 2 more answers

G(x)=-3x-8<br>g( )=10<br>what does x equal?

Nikolay [14]

Answer: X = 24/G

G = 24/x

Step-by-step explanation:

6 0

3 years ago

A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

<em>Hence, the length 15 yards</em>

4 0

3 years ago