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3 years ago

15

Admission to the fair is $16 a person. Ride passes are $12 per person. Parking is $8 per family. How many family members visited

the park if the total cost of the trip was $148?

1 answer:

Elena-2011 [213]3 years ago

4 0

Answer: 5

Step-by-step explanation:

16x+12x+8=148

16x+12x=148-8

28x=140

X=140/28

X=5

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Please help; I don't understand how to solve these inequality problems.

Darina [25.2K]

Answer:

1. -6 ≤ x < -1, conjunction

2. x > 10 or x ≤ 6, disjunction

3. 7 ≤ x ≤ 12, conjunction

4. x ≥ -3 or x < -9, disjunction

Step-by-step explanation:

These inequalities are called "compound inequalities." Each compound inequality is made up of two simple inequalities.

A compound inequality of the type 5 < x < 8 means x > 5 and x < 8. Since the word between the simple inequalities is "and", it is a conjunction.

A compound inequality of the type "x < 3 or x > 12" uses the word "or" between the simple inequalities. It is called a disjunction.

1.

-4 ≤ x + 2 < 1

Conjunction

For this type of inequality, do what you need to do to get x alone in the middle section. Do the same to all three "sides" of the inequality.

The middle section has x + 2. We want x alone,s o w must subtract 2. We subtract 2 from all three sides.

-4 - 2 ≤ x + 2 - 2 < 1 - 2

-6 ≤ x < -1

2. 5x - 4 > 46 or 4x ≤ 3x + 6

Disjunction

In this type of compound inequality, solve each inequality by itself, and always keep the word "or" between the inequalities.

5x - 4 > 46 or 4x ≤ 3x + 6

5x - 4 + 4 > 46 + 4 or 4x - 3x ≤ 3x - 3x + 6

5x > 50 or x ≤ 6

x > 10 or x ≤ 6

3. Similar to problem 1.

Conjunction

10 ≤ 2x - 4 ≤ 20

Add 4 to all sections.

14 ≤ 2x ≤ 24

Divide all sections by 2.

7 ≤ x ≤ 12

4.

6 - 2x ≤ 12 or 7 + 2x < -11

Disjunction

-2x ≤ 6 or 2x < -18

x ≥ -3 or x < -9

3 0

3 years ago

Read 2 more answers

Solve for x: −6 < x − 1 < 9

shtirl [24]

Answer:

$-5$

Step-by-step explanation:

$-6$

If $a$ than $a$ and $u$

$-6$

<u>⇒ Switch sides:-</u>

<u /> $x-1>-6$

<u>⇒ Add 1 to both sides:-</u>

<u /> $x-1+1>-6+1$

$x>-5$

And...

$\:x-1$

<u>⇒ Add 1 to both sides:-</u>

<u></u> $x-1+1$

$x$

<u>⇒ Now, Combine the intervals:-</u>

<u /> $-5$

<u>OAmalOHopeO</u>

3 0

3 years ago

Using the formula in model 1, choose the correct answers for the new balance and the amount of interest earned in the following

poizon [28]

Total = Principal * (1 + rate)^years
Total = 650 * (1.08)^14
<span>Total = 1,909.1</span>8

5 0

3 years ago

Which problem can be solved using this equation?

nekit [7.7K]

The 3rd answer, when m is next to a number it means “per” for something like per second or (in this case) per minute, etc...

6 0

3 years ago

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

3 years ago