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Alisiya [41]
3 years ago
15

benny bought 9 new baseball trading cards to add to his collection.the next day his dog ate half of his collection. there are no

w only 40 cards left.how many cards did benny start with?
Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0
49, because if he bought 9 you need to add that to 40 to get the whole
Andrei [34K]3 years ago
6 0
Thirty five point five, but you cannot have half a card so you have to round it which gives you thirty six.

Answer= 36
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Larry is building a frame around a rectangular picture. He will need 46 inches of wood to do the entire frame. If the frame is 1
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33 inches wide for the frame
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3 years ago
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A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between
vagabundo [1.1K]
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°

What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle  = 180° - (40° + 30°)
Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m

∴The distance, x, between two landmarks is 69.31m
8 0
3 years ago
Question 17(Multiple Choice Worth 1 points)
Marina86 [1]

Answer:A fine of $0.75 is paid if the book returned by the due date.

No fine is paid if the book is returned 1 day after the due date.

A fine of $0.75 is paid if the book is returned 1 day after the due date.

Bit by bit clarification:

A fine of $0.75 is paid if the book returned by the due date.

No fine is paid if the book is returned 1 day after the due date.

A fine of $0.75 is paid if the book is returned 1 day after the due date.

3 0
3 years ago
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What simple interest rate is needed for $6,000 to earn $1,000 in 15 months
Mekhanik [1.2K]

let's recall that a year has 12 months, so 15  months is really 15/12 years.

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$1000\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{15}{12}\dotfill &\frac{5}{4} \end{cases}

\bf 1000=(6000)r\left( \cfrac{5}{4} \right)\implies 1000=7500r\implies \cfrac{1000}{7500}=r\implies \cfrac{2}{15}=r \\\\\\ \stackrel{\textit{converting that to a percentage}}{\cfrac{2}{15}\cdot 100 = r\implies \cfrac{40}{3}=r}\implies \stackrel{\%~\hfill }{13.\overline{3}}=r

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What's the measurement of x?<br><br> Pls answer A.S.A.P
WITCHER [35]

36

Step-by-step explanation:

360/2=180

180/5=36

7 0
3 years ago
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