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skelet666 [1.2K]

3 years ago

11

Dennis wants to buy a card for his wife. Dennis calculates the amount of the card as $4.50. The actual price of a card is $4. Wh

at is Dennis's percent error?

1 answer:

Alex17521 [72]3 years ago

8 0

Answer:

12.5%

Step-by-step explanation:

$4.50-$4/$4 x 100%

0.5/4x100%

50/4= 25/2 = 12.5%

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3 years ago

What is the solution set of the compound inequality x+1<-2x+11<3x+5

VikaD [51]

Answer:

6/5 < x < 10/3 is the desired solution.

Step-by-step explanation:

Here, the given compound inequality is :

x + 1 < -2 x + 11 < 3 x + 5

Now, consider the first two term of the inequality, we get:

x + 1 < -2 x + 11

Subtracting 1 from both sides, we get:

x + 1 - 1 < -2 x + 11 - 1

or, x < -2x + 10

or, x + 2x < 10

or, 3 x < 10

or, x < 10/3

Similarly, considering the last two terms of the given inequality, we get:

-2 x + 11 < 3 x + 5

Subtracting 11 from both sides, we get:

-2 x + 11 - 11 < 3 x + 5 - 11

or, - 2 x < 3 x-6

or, 6 < 5 x

or, x > 6/5

Hence, combining two solutions, we get: 6/5 < x < 10/3

So, the desired value of x should be more than (6/5) but less than (10/3)

6 0

3 years ago

An 18% alcohol solution is mixed with a 45% alcohol solution to produce 12 ounces of a 36% alcohol solution. How many ounces of

Leno4ka [110]

Answer:

The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8

Step-by-step explanation:

Let

x ---> ounces of the 18% solution

y ---> ounces of the 45% solution

we know that

The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces

so

$x+y=12$ ----> equation A

The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)

so

$0.18x+0.45y=0.36(12)$

$0.18x+0.45y=4.32$ -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (4,8)

see the attached figure

therefore

The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8

6 0

3 years ago

A line passes through the points (-4,-1) and (4,3). A second line passes through the points (-2,-2) and (2,6). At what point do

Kisachek [45]

Answer:

(-2/3 , 2/3)

Step-by-step explanation:

Line 1: (-4,-1) (4,3)

m = (3 - -1) / (4 - -4) = 4/8 = 1/2

equation: (y-3)/(x-4) = 1/2 y-3 = 1/2 x - 2

y = 1/2 x + 1 ....(1)

Line 2: (-2,-2) (2,6)

m = (6 - -2) / (2 - -2) = 8/4 = 2

equation: (y-6)/(x-2) = 2 y-6 = 2x - 4

y = 2x + 2 ...(2)

(2)-(1): 0 = 3/2x + 1

3/2 x = -1 x = - 2/3

y = 1/2 * (-2/3) + 1 = 2/3

5 0

4 years ago