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gregori [183]
3 years ago
7

A student has 876 baseball cards. Of these cards, 91 of them portray Cincinnati Reds. If the student gives all of the Cincinnati

Reds cards to a friend, how many baseball cards will the student have left?
Mathematics
1 answer:
leva [86]3 years ago
8 0
785 baseball cards will be left {876-91=785}
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A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 55 ​seconds, th
True [87]

Answer:

y=3x+4

Step-by-step explanation:

Let y be the amount of water in the bottle x seconds after the faucet was turned on.

We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 ​seconds, the gauge indicates the bottle contains 37 ounces of water.

We have two points on the line (5,19) and (11,37).

Let us find slope of the line passing through these points.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{37-19}{11-5}

m=\frac{18}{6}

m=3

We will write our required equation in slope-intercept form y=mx+b, where, m represents slope and b represents the y-intercept.

Let us find y-intercept by substituting m=3 and coordinates of point (5,19) in slope intercept form.

19=3\cdot 5+b

19=15+b

19-15=15-15+b

4=b

Therefore, our required equation would be y=3x+4.

8 0
3 years ago
Two functions are graphed on the coordinate plane.
rosijanka [135]

Answer:

Option B

Step-by-step explanation:

We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -

Function f( x ) where x = - 4 / Function g( x ) where x = - 4,

f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )

Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,

f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )

<u><em>Your solution should be option b, "  f(-4) = g(-4) and f(0) = g(0) "</em></u>

7 0
3 years ago
Evaluate this question
cestrela7 [59]

Answer:

d.

Step-by-step explanation:

\bigg( \frac{16}{49}  \bigg)^{  - \frac{3}{2} }  \\  \\  =  \bigg( \frac{49}{16}  \bigg)^{ \frac{3}{2} }  \\  \\  =  \bigg( \frac{ {7}^{2} }{ {4}^{2} }  \bigg)^{ \frac{3}{2} }  \\  \\  =  \bigg( \frac{ {7}}{ {4} }  \bigg)^{ \frac{2 \times 3}{2} }  \\  \\  =  \bigg( \frac{ {7}}{ {4} }  \bigg)^{ 3}   \\  \\  =  \frac{343}{64}  \\

3 0
3 years ago
The Boardman family walked two over five of a mile in two over seven of an hour. What is their unit rate in miles per hour?
hichkok12 [17]
If the family walked 2/5 of a mile in 2/7 of an hour their MPH would be 2.8mph 
3 0
3 years ago
How do i solve (3c^2d^4) ^3 x (2c^5d^8)^3?
vredina [299]

Answer:

216c^{21}d^{36}

Step-by-step explanation:

(3c^2d^4)^3 * (2x^5d^8)^3

(3c^2)^3 (d^4)^3 * (2c^5)^3 (d^8)^3

27c^6 d^{12} * 8c^{15} d^{24}

216c^{21}d^{36}

Hope this helps!

7 0
2 years ago
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