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Licemer1 [7]
3 years ago
8

Bobby's uncle gave him 300 baseball cards. Each week, Bobby purchases 40 baseball cards to add to his collection. Which inequali

ty can be used to find w, the number of weeks after starting his collection when Bobby will have more than 700 baseball cards in his collection?
Mathematics
2 answers:
QveST [7]3 years ago
8 0

Answer:

300+40w>700

Step-by-step explanation:

Bobby's uncle gave him 300 baseball cards. Each week, Bobby purchases 40 baseball cards to add to his collection.

Let the number of weeks he collects cards be w.

The inequality to get the number of weeks after starting his collection when Bobby will have more than 700 baseball cards in his collection is given by:

300+40w>700

If you want to find w;

40w>700-300

=> 40w>400

w > 10

Helga [31]3 years ago
4 0

Answer:

He already has 300 cards.

Take 700 and subtract that by 300

Then divide that by 40

Leaves you at

10 weeks

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Multiply 245 by .40 (which is 40%)
245 x (.40)= 98. When you get 98, you have to 245-98 and you get 147
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What are some uses for the distance formula?
lbvjy [14]
To find the area of a building.
and to make a small farm

8 0
3 years ago
Island A is 150 miles from Island B. A ship captain travels 310 miles from Island A and then finds that he is off course and 200
wolverine [178]

Answer:

156.37°

Step-by-step explanation:

We solve this above question, using Cosine rule which is given as:

Cos C = a² + b² - c²/2ab

Let the Angle be represented as: x

Cos x = 310² + 200² - 150²/2 × 310 × 200

x = arc cos [ 310² + 200² - 150²/2 × 310 × 200]

x = 23.63°

The angle, in degrees, that he must turn through to head straight for Island B is given as:

180° - 23.63°

= 156.37°

4 0
3 years ago
The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor
harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

Making \left[\begin{array}{ccc}T\\C\\M\end{array}\right] the subject of the formula we have:

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}

Let’s say matrix A = \left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right], the inverse of matrix A = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] is determined by the formula \frac{Adjoint(A)}{determinant(A)}. This can also be computed directly on a scientific calculator.

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

= \left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]

T = 46,500

C = 34,000

M = 15,500

6 0
4 years ago
Read 2 more answers
P(x)=150(1.07)x what is x
Gekata [30.6K]
Hello,

P(x)=150*1.07^x
==>ln(P(x)/150)=x*ln(1.07)
==>x=(ln(P(x)-ln(150))/ln(1.07)
If you know how much is P(x) then you have the answer.
4 0
4 years ago
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