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castortr0y [4]
3 years ago
6

Jake plans to take a summer job at the recreation center as a lifeguard. He can be paid according to two different plans.

Mathematics
1 answer:
Jlenok [28]3 years ago
5 0

Payment on Plan A = $300

x is the number of hours Jake works.

Payment on Plan B = Fixed charges + (charge per hour) × (number of hours worked)

                               = $150 + $6.25(x)

                               = 150 + 6.25x

Since, the payment on Plan B should be more than Plan A,

150 + 6.25x > 300

6.25x > 300 - 150

6.25x > 150

x > \frac{150}{6.25}

x > 24

The minimum vale for x which satisfies this inequality is 25.

Hence, x = 25.

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Given: Right triangles CES and RST. In two or more complete sentences, explain what additional information is needed to prove tr
masya89 [10]
You know one angle is 90 degrees because they are right triangles. In order to prove CES congruent to RST, you would need two legs, three angles, or a leg and an included angle.
7 0
3 years ago
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The container that holds the water for the football team is 2/3
Kipish [7]

Answer:

18 gallons

Step-by-step explanation:

We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.

2/3 = 4/6

1/2 = 3/6

4/6 - 3/6 = 1/6

1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.

3 * 6 = 18 gallons

Checking my answer:

18 * 2/3 = 6 * 2 = 12

12 - 3 = 9

1/2 of 18 = 9

This means that our answer is correct.

8 0
3 years ago
PLEASE HELP<br><br> x = ___ units
Shkiper50 [21]

Answer:

x = <u>16</u> units

Step-by-step explanation:

∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

Side opposite of 90° [∆BCD] = BC = 32.

Since x is opposite of 30° [∆BCD].

x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.

8 0
3 years ago
20. A ball is dropped from a height of a little over 5 feet, and the height is measured at small intervals. The table below show
nekit [7.7K]

Step 1:

a) Write the quadratic model

a = -15.64

b = -1.24

c = 5.23

P(t)=-15.64t^2\text{ - 1.24t + 5.2}3

b) t = 0.30

\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

c) t = 0.52 seconds

\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

d) 0.30 is more likely to be relaible.

e)

\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

5 0
1 year ago
Frank exercises no less than 40 minutes per day use t to represent Frank's amount of exercise minutes per day.
BabaBlast [244]

9514 1404 393

Answer:

  t ≥ 40

Step-by-step explanation:

"No less than" is the same as "greater than or equal to".

  t ≥ 40

5 0
3 years ago
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