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drek231 [11]
3 years ago
13

Mary just got a new job at Justice. She makes $10 an hour plus 4% commission on her sales. If she worked 6 hours

Mathematics
2 answers:
lakkis [162]3 years ago
6 0
Answer:
$74

Explanation:
10•6+350•1,04= 60+ 14=$74
tresset_1 [31]3 years ago
5 0

Answer: $74

Step-by-step explanation:

cost for an hour = $10

since she worked for 6 hours , this means that she made $(6x10) = $60

Also , she made 4% commission on her sale and she sold $350 , this means that she made 4% of 350 =$14

Therefore: she made $ 60 + $14 for the day. Thai is , she made $74 for the day

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A certain bridge arch is in the shape of half an ellipse 106 feet wide and 33.9 feet high. At what horizontal distance from the
nata0808 [166]

Answer:

The horizontal distance from the center is 49.3883 feet

Step-by-step explanation:

The equation of an ellipse is equal to:

\frac{x^2}{a^{2} } +\frac{y^2}{b^{2} } =1

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.

Then, replacing a by 106/2 and b by 33.9, we get:

\frac{x^2}{53^{2} } +\frac{y^2}{33.9^{2} } =1\\\frac{x^2}{2809} +\frac{y^2}{1149.21} =1

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

\frac{x^2}{2809} +\frac{y^2}{1149.21} =1\\\frac{x^2}{2809} +\frac{12.3^2}{1149.21} =1\\\\\frac{x^2}{2809}=1-\frac{12.3^2}{1149.21}\\\\x^{2} =2809(0.8684)\\x=\sqrt{2809(0.8684)}\\x=49.3883

So, the horizontal distance from the center is 49.3883 feet

8 0
3 years ago
The vertices of quadrilateral MNPQ are M(-3,-2), N(-1,4), P(2,4), Q(4,-2). Translate quadrilateral MNPQ using the rule (x,y)-&gt
notsponge [240]

Answer:

Here's what I get.

Step-by-step explanation:

The rule is (x, y) ⟶ (x + 3, y + 4).

That means you must move each point three units to the right and four units up.  Thus,

M(-3, -2) ⟶ M'(0, 2)

N(-1, 4)  ⟶ N'(2, 8)

P(2, 4)    ⟶ P'(5, 8)

Q(4, -2)  ⟶ Q'(7, 2)  

Your quadrilateral is a trapezoid. Both MNPQ and its image M'N'P'Q' are shown in the Figure below.

8 0
3 years ago
Simplify.<br> — 8yъ — уъ
mario62 [17]

Answer:

-9yъ

Step-by-step explanation:

Since they have the same variables (yъ) then you can add or subtract,

=-8yъ -yъ

= -9yъ

8 0
3 years ago
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