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3 years ago

9

lionel has $400 he spends $5 a day for parking he would like to keep at least $250 for car repairs write and solve an inequality

that can be used to find x

1 answer:

emmainna [20.7K]3 years ago

5 0

400-5x greater than or equal to 250
-400. -400
———————————————————-
-5x greater than or equal to -250
——. ——
-5. -5
X is less than or equal to 50

*sorry no greater than and equal to key so...

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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 $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Help me out with this please

34kurt

Answer: Its A

Step-by-step explanation:

Its the most reasonable answer the others seem off

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An object weighs 55.54 newtons. What is its mass if a gravitometer indicates that g = 9.83 m/s2?

Ksivusya [100]

Force = mass * acceleration
Mass = force / acceleration
Mass = 55.54 / 9.83
Mass = <span> <span> <span> 5.6500508647 kilograms
</span></span></span>Mass = <span> <span> <span> 5.65 kilograms

</span></span></span>

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Select the phrase that best completes the sentence.

muminat

Answer:

No solution

Step-by-step explanation:

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3 years ago

there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks ar

lora16 [44]

Answer:

500

Step-by-step explanation:

Given: P = 150 - T where P is passenger cars and T is trucks

10P = 7T ⇔ P = $\frac{7T}{10}$

Plug in equation 2 into equation 1:

$\frac{7T}{10}$ = 150 - T

Solving for T, we get 500

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3 years ago

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