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ArbitrLikvidat [17]

3 years ago

9

The county water department charges a service fee of $10.15 plus $0.005 for each gallon of water used. The inequality shown is u

sed to determine the number of gallons of water, x, used by customers whose monthly charges range from $35 to $55.

1 answer:

grandymaker [24]3 years ago

6 0

Answer:

if its a multiple choice its A!

Step-by-step explanation:

These customers use at least 4,970 gallons but no more than 8,970 gallons of water per month.

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shutvik [7]

Answer:

m<WZY is 95º

Step-by-step explanation:

a line is 180º

180-85=95

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How do we round 8.465 nearest hundredths

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3 years ago

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

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3 years ago

94.248 is 30.6% of what number?

Musya8 [376]

Answer:

308

Step-by-step explanation:

let the number be x

then,

94.248=30.6% of x

94.248=30.6/100 *x

94.248= 0.306x

94.248/0.306=x

308=x

so the number is 308.

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3 years ago

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Mariana [72]

Answer:

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