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Anestetic [448]

3 years ago

14

F leonard bought 2 packs of batteries for x amount of dollars, how many packs of batteries could he purchase for $5.00 at the sa

me rate

1 answer:

Lemur [1.5K]3 years ago

5 0

1.
The rate at which Leonard bought was 2 packs per x dollars,

that is his buying rate was (2 packs)/(x dollars)=2/x (p/$)

2.

with 1 $ Leonard buys 2/x packs
then
with 5 $ Leonard buys (2/x)*5 = 10/x packs.

Answer: 10/x packs

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I need help with 5-9

Goryan [66]

Answer:

5) x = 1, y = -3

6) x = -20, y = 2

7) infinite solutions

8) no solutions

Step-by-step explanation:

5)

y = 5x - 8

y = -6x + 3

5x - 8 = -6x + 3

11x = 11

x = 1

y = 5 - 8

y = -3

6)

2x + 10y = -20

-x + 4y = 28

2x = -20 - 10y

x = - 10 - 5y

-x = 28 - 4y

x = -28 + 4y

-10 - 5y = -28 + 4y

-10 + 28 = 4y + 5y

18 = 9y

2 = y

2x + 20 = -20

2x = -40

x = -20

7)

this has infinite solutions because one equation is a simplified version of the other

8)

this has no solutions because 5 does not equal -5

9)

I can't graph on brainly, hope this helped though

3 0

2 years ago

Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &

Aloiza [94]

Answer:

Option C $-6$

Step-by-step explanation:

we have

$21\leq -3(x-4)$

The compound inequality can be divided into two inequality

$21\leq -3(x-4)$ -----> inequality A

$-3(x-4)$ ----> inequality B

Solve inequality A

$21\leq -3x+12$

$9\leq -3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$-3\geq x$

Rewrite

$x\leq -3$

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

$-3x+12$

$-3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x>-6$

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

$-6$

3 0

3 years ago

Answer this question please.

grandymaker [24]

Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

3 0

2 years ago

The general formula of a parabola with a vertical axis is derived using the focus point and the __________ formula.

Y_Kistochka [10]

This would be the Distance formula

8 0

3 years ago

19. Suppose Misty purchased the 10-Day Ticket Package that

Luda [366]

Answer:

Part a) The table in the attached figure (see the explanation)

Part b) see the explanation

Step-by-step explanation:

Let

y ----> the total cost of Lift Tickets

x ----> the number of days

we know that

The linear equation in slope intercept form is given by

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the initial value or y-intercept pf the linear equation

In this problem we have

The slope is equal to

$m=\$20\ per\ day$

The y-intercept is equal to

$b=\$80$

substitute

$y=20x+80$

<u><em>Complete the table</em></u>

Find the value of y for each value of x

For x=0 day

$y=20(0)+80=\$80$

For x=1 day

$y=20(1)+80=\$100$

For x=2 days

$y=20(2)+80=\$120$

For x=3 days

$y=20(3)+80=\$140$

For x=4 days

$y=20(4)+80=\$160$

For x=5 days

$y=20(5)+80=\$180$

For x=6 days

$y=20(6)+80=\$200$

Part b) Explain how you know the data in the table above is linear

The data in the table is linear, because satisfy the equation of the linear equation

$y=20x+80$

where

x is the variable independent or input value (the number of days)

y is the variable dependent or output value (the total cost of Lift Tickets)

6 0

3 years ago