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3 years ago

9

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pairs of jeans. If he has 18 shirts, how many pa

irs of jeans does he have

1 answer:

Ann [662]3 years ago

5 0

Answer:

9 jeans

Step-by-step explanation:

9 jeans 2 shirt per jean and 18 divided by 2=9

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I just need help with three, four, and seven. Solve the system of linear equations, and determine if the equation has one soluti

likoan [24]

3. If $y=5x+9$ and $y=3x-2$ , then

$5x+9=3x-2\implies2x+9=-2\implies2x=-11\implies x=-\dfrac{11}2$

Then

$y=5\left(-\dfrac{11}2\right)+9=-\dfrac{55}2+9=-\dfrac{37}2$

(only one solution)

4. If $y+2=4x$ , then $y=4x-2$ . So we're told that $4x-5=4x-2$ but this is impossible, because that would that for any $x$ , we have -5 = -2. This is false, so this system has no solution.

7. "y is 6 less than 3 times x" means $y=3x-6$ . "x is 2 more than one-third of y" means $x=\dfrac13y+2$ . Solving the second equation for $y$ gives $y=3x-2$ , which would mean $3x-6=3x-2$ . But for the same reason as in (4), there is no solution. For any value of $x$ , this equation gives the false conclusion that -6 = -2.

8 0

3 years ago

Solve 2x2 + 4x = 30 using the Quadratic Formula.

Maslowich

Answer:

$x=-5, 3$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

<u>Step 1: Define equation</u>

2x² + 4x = 30

<u>Step 2: Rewrite into Standard Form</u>

2x² + 4x - 30 = 0

<u>Step 3: Define variables</u>

a = 2

b = 4

c = -30

<u>Step 4: Solve for </u><em><u>x</u></em>

Substitute: $x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}$
Evaluate: $x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}$
Multiply: $x=\frac{-4\pm\sqrt{16+240} }4}$
Add: $x=\frac{-4\pm\sqrt{256} }4}$
Evaluate: $x=\frac{-4\pm16 }4}$
Factor: $x=\frac{4(-1\pm4)}4}$
Divide: $x=(-1\pm4)$
Add/Subtract: $x=-5, 3$

And we have our final answer!

6 0

3 years ago

A spinner is divided into four equal sections that are numbered 2, 3, 5, and 6. The spinner is spun twice.

frez [133]

As the spinner is spun twice the order pairs which have a product less than 14 and contain at least one odd number are ( 2,3), ( 2,5), ( 3,2), ( 3,3), ( 5,2)
= 5 order pairs
Option B is correct

Note: see the attached image to comprehend how we find order pair( for beginner <span />

6 0

3 years ago

Solving Equations by Dividing 2) 9x= -135 Solve for x. 0 -144 O 126 O 15 0 -15<br>

luda_lava [24]

X = 15
Explanation:
9x = -135
Divide by 9 on both sides
X = -15
It is -15 since 135 is negative

7 0

3 years ago

Read 2 more answers

Y=x+8<br> Y=-4x-12<br> Solve each system by substitution

iVinArrow [24]

Answer:

Step-by-step explanation:

hello :

Y=x+8

Y=-4x-12

-4x-12 = x+8

-5x = 20

x = -4

but : y=x+8

so : y=-4+8 = 4

6 0

3 years ago