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Vinvika [58]
2 years ago
5

a toaster oven costing $130 offers an extended warranty for 25% of the purchase price if the local repair shop will fix a toaste

r oven for $8. How many times must the tiaster oven break in order for the warranty to oay foe itself
Mathematics
2 answers:
MArishka [77]2 years ago
6 0

Answer: It must take atleast 3 times to repairs for the warranty to be worth the cost.

Step-by-step explanation:

Since we have given that

Cost of a toaster oven = $130

Percentage of purchase price offers an extended warranty = 25%

so, it becomes,

\frac{25}{100}\times 130=\$32.5

Amount that the local repair shop fix a toaster oven = $8

So, number of times the toaster oven break in order for the warranty to oay foe itself is given by

\frac{32.5}{8}=4.0625

Hence, it must break atleast 5 times in order for the warranty.

myrzilka [38]2 years ago
5 0
Price covered by warranty:
130 x 0.25 = $32.5
Price per repair = $8
Number of repairs available:
32.5 / 8
= 4.0625
Thus, the toaster must break 4 times for the warranty to pay for itself.
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If j and k are nonzero integers, which pair of points must lie in the same quadrant?
Marizza181 [45]
<h3>Answer:  Choice D.   (3j, 3k)  and (3/j, 3/k)</h3>

The slash indicates a fraction.

=============================================

Proof:

We'll need to consider 4 different cases.

-----------------------

Case (1): j > 0 and k > 0

If j > 0, then 3j > 0 and 3/j > 0

If k > 0, then 3k > 0 and 3/k > 0

The two points (3j, 3k) and (3/j, 3/k) are both in quadrant 1.

-----------------------

Case (2): j > 0 and k < 0

If j > 0, then 3j > 0 and 3/j > 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are both in quadrant 4.

------------------------

Case (3): j < 0 and k > 0

If j < 0, then 3j < 0 and 3/j < 0

If k > 0, then 3k > 0 and 3/k > 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 3.

------------------------

Case (4): j < 0 and k < 0

If j < 0, then 3j < 0 and 3/j < 0

If k < 0, then 3k < 0 and 3/k < 0

Points (3j, 3k) and (3/j, 3/k) are in quadrant 4.

------------------------

For nonzero integers j and k, we've shown that Points (3j, 3k) and (3/j, 3/k) are in the same quadrant. This concludes the proof.

8 0
2 years ago
Read 2 more answers
Which of the following is the correct graph of the solution to the inequality −18 &gt; −5x + 2 ≥ −48?
monitta

Answer:

Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Step-by-step explanation:

we have

-18 > -5x+2 \geq -48

Divide the compound inequality into two inequalities

-5x+2 \geq -48 -----> inequality A

-5x \geq -48-2

-5x \geq -50

Multiply by -1 both sides

5x \leq 50

Divide by 5 both sides

x \leq 10

The solution of inequality A is the interval ----> (-∞,10]

All real numbers less than or equal to 10

-18 > -5x+2 -----> inequality B

-18-2 > -5x

-20 > -5x

Multiply by -1 both sides

20 < 5x

Divide by 5 both sides

4 < x

Rewrite

x > 4

The solution of the inequality B is the interval ----> (4,∞)

All real numbers greater than 4

The solution of the compound inequality is

(-∞,10] ∩ (4,∞)= (4,10]

All real numbers greater than 4 and less than or equal to 10

A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

8 0
3 years ago
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Tell whether the angles are adjacent or vertical. Then find the value of x.
nata0808 [166]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Select the equation that is the inverse of the given function f(x)=x-3/5
vampirchik [111]

f(x)=\dfrac{x-3}{5}\to y=\dfrac{x-3}{5}\\\\\text{Interchange the y and the x}\\\\x=\dfrac{y-3}{5}\\\\\text{Solve for y}\\\\\dfrac{y-3}{5}=x\qquad|\cdot5\\\\y-3=5x\qquad|+3\\\\y=5x+3\\\\Answer:\ B.\ f^{-1}(x)=5x+3

7 0
3 years ago
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Find the value of x.<br> (2x + 30)<br> (5x - 18)
laiz [17]

Answer:

No answer as written.  16 if we add an equals sign.

Step-by-step explanation:

As written, there is no "=" sign in either expression.  That means they are only expressions, not equations.  x can be anything.  10, 12345, 0.00000343345567788, etc.  There is nothing that restricts the value of x.

If we set the two expressions equal to each other, we can calculate a value of x:

(2x + 30) = (5x - 18)

3x = 48

x = 16

6 0
2 years ago
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