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saw5 [17]
4 years ago
7

Jalen gets 3 paid vacation days for every 60 days he works. Select all of the expressions that represent the number of vacation

days gets per x days worked. (A) x/20 (B) 3/60x (C) x/3 (D) 0.05x (E) 20x
Mathematics
1 answer:
Scorpion4ik [409]4 years ago
7 0

Answer:

A and D

Step-by-step explanation:

In this question, we are asked to select the expressions that represent the number of vacation days per x days worked.

Now, to do this, what we simply first do is to get the number of days to takes to get one paid vacation. In the question , we are made to know that he gets 3 days paid vacation for 60 days of work. The number of days to get a single paid vacation would thus be 60/3 = 20 days. This means she gets one paid vacation in 20 days.

Now, we are told after working for x days, how many paid days vacation does she get. To know this, what we do is to first know the number of 20 days in x days. That would simply be x/20. This is the number of vacation days she gets in x days.

now, we check if there are similar options to this.

D is also correct. This is because x/20 is same as 0.005x

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Two boats traveling toward a lighthouse that is 20o ft above sea level at its top. When the 2 boats and the lighthouse are colli
masha68 [24]

Answer:

The measure of x=11.35^{\circ}

Step-by-step explanation:

We are given that

Height of tower=200ft

Distance between two boats=250 ft

From given figure

\frac{perpendicular\;side}{base}=tan\theta

\frac{200}{base}=tan15^{\circ}

base=\frac{200}{tan15^{\circ}}=746.55 ft

Again ,

\frac{200}{746.55+250}=tan x

\frac{200}{996.55}=tan x

x=tan^{-1}(0.20069)=11.35^{\circ}

Hence, the measure of x=11.35^{\circ}

7 0
4 years ago
Write an equation in point-slope form of the line that has a slope of 10 and passes through (6,2).
natima [27]
Y - 6 = 10(x - 2) hope this helps :)
8 0
3 years ago
Help please I really do need help
LuckyWell [14K]

Answer:

  P'(-6, -4)

Step-by-step explanation:

The (x, y) coordinates of the plotted point P are (-2, 2).

Putting those values into the translation formula, you get ...

  (x, y) ⇒ (x -4, y -6)

  (-2, 2) ⇒ (-2 -4, 2 -6) = (-6, -4)

The coordinates of the translated point P' are ...

  P'(-6, -4)

4 0
3 years ago
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pochemuha
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6 0
2 years ago
Read 2 more answers
A parabola opening up or down has vertex (0, -2) and passes through (8, -18). Write its
madreJ [45]

Answer:

<u>f(x) = -1/4(x - 0)^2 - 2</u>

Step-by-step explanation:

vertex form:

f(x) = a(x - h)^2 + k

<em>1) put the vertex in the equation, ( (h, k) is the vertex)</em>

f(x) = a(x - 0)^2 - 2

<em>2) plug in the point (8, -18) to find the value of a</em>

-18 = a(8 - 0)^2 - 2

-18 = a(64) - 2

-16 = a(64)

-16/64 = a

-1/4 = a

<em>3) plug in the value of a into the equation</em>

<u>f(x) = -1/4(x - 0)^2 - 2</u>

5 0
3 years ago
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