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Mekhanik [1.2K]
2 years ago
5

The letters of the words "possible outcomes" are put in a bag. Find the probability of picking the letter o.

Mathematics
1 answer:
adoni [48]2 years ago
8 0
3 out of 14 chances of picking o
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Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the sc
Readme [11.4K]

Answer: y = $7.50x + $25

Step-by-step explanation:

From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.

The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:

= ($.750 × x) + $25

y = $7.50x + $25

Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.

7 0
3 years ago
Given that WA = 5x – 8 and WC = 3x + 2, find WB. A. WB = 5 B. WB = 8 C. WB = 10 D. WB = 17
rodikova [14]
The rest of the question is the attached figure.
============================================
Δ AYW a right triangle at Y ⇒⇒⇒ ∴ WA² = AY² + YW²
And AY = YB ⇒⇒⇒ ∴ WA² = YB² + YW²   → (1)
Δ BYW a right triangle at Y ⇒⇒⇒ ∴ WB² = BY² + YW²  → (2)
From (1) , (2)  ⇒⇒⇒ ∴ WA = WB  →→ (3)
Δ CXW a right triangle at Y ⇒⇒⇒ ∴ WC² = CX² + XW²
And CX = XB ⇒⇒⇒ ∴ WC² = XB² + XW²   → (4)
Δ BXW a right triangle at Y ⇒⇒⇒ ∴ WB² = XB² + XW²  → (5)
From (4) , (5)  ⇒⇒⇒ ∴ WC = WB  →→ (6)
From (3) , (6)
WA = WB = WC
given ⇒⇒⇒ WA = 5x – 8 and WC = 3x + 2
∴ <span> 5x – 8 = 3x + 2</span>
Solve for x ⇒⇒⇒ ∴ x = 5
∴ WB = WA = WC = 3*5 + 2 = 17

The correct answer is option D. WB = 17






7 0
2 years ago
Read 2 more answers
Dan made $5000 in taxable income last year.
storchak [24]

well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5000}}{\left( \cfrac{10}{100} \right)5000}\implies 500

8 0
2 years ago
A label covers the lateral surface area of a can. The can has a diameter of 2.6 inches and a height of 4 inches. What is the lat
eimsori [14]

Answer:

First of all, lateral means the sides of the can in this case.

Calculate the surface area of the can, subtract the area of the top and bottom which are two circles, and theres the answer!

Step-by-step explanation:

1. SA= 2πrh+2πr^2

= 2(π)(1.3)(4) + 2(π)(1.3^2)

= 43.29- (π1.3^2)^2

=15.09

Please note that ^(a number) means to the power of (that number). Hope this helps!

3 0
2 years ago
Read 2 more answers
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
motikmotik
Let x =lenght, y = width, and z =height 
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>

<span>Therefor the dimensions are cube 4.</span>
6 0
3 years ago
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