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3 years ago

9

Sandra's cell phone plan gives her unlimited minutes for $15.50 per month. She is charged $0.08 for each text message, t. Which

equation models the total monthly cost, C, for the cell phone? 10 points

1 answer:

brilliants [131]3 years ago

3 0

Answer:

c=15.50+0.08t

Step-by-step explanation:

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What is the correct here??

Oliga [24]

Answer:

There is no mistake.

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2 years ago

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Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb

jonny [76]

Answer: The answer is 400 blue marbles.

Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

$n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,$

and number of blue marbles is

$n_b=560-364=196.$

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

$n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.$

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

$65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.$

Thus, 400 blue marbles need to be added to the bag.

5 0

3 years ago

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Which inequality represents all values of x for which the product below is<br> defined?<br> 20 pts

timama [110]

Step-by-step explanation:

√a is defined only when a >= 0.

Therefore for √4x * √(x + 2) to be defined, both 4x and x + 2 must be non-negative.

When 4x >= 0, x >= 0.

When x + 2 >= 0, x >= -2.

x >= 0 and x >= -2, therefore we have x >= 0. (D)

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3 years ago

Cassandra assigns values to some of the measures of triangle ABC. If angle A measures 30°, a = 6, and b = 18, which is true?

Anna [14]

Answer:

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

Step-by-step explanation:

we know that

step 1

Find the measure of angle B

Applying the law of sines

$\frac{sin(A)}{a}=\frac{sin(B)}{b}$

we have

$A=30\°$

$sin(30\°)=1/2$

$a=6\ units$

$b=18\ units$

substitute

$\frac{(1/2)}{6}=\frac{sin(B)}{18}$

$\frac{1}{12}=\frac{sin(B)}{18}$

$sin(B)=\frac{18}{12}$

$sin(B)=\frac{3}{2}=1.5$

Remember that the value of sine can not be greater than 1

therefore

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

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3 years ago

What is the recursive formula for the sequence?<br><br> 8, 6, 4, 2, 0, . . .

e-lub [12.9K]

Step-by-step explanation:

Here 6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2

Thus, the common difference between any two consecutive term is - 2.

The recursive formula is given as:

$f(1)=a_1 = 8\\\\f(2)=a_2 = a_1 - 2\\\\f(3)=a_3 = a_2 - 2\\\\f(4)=a_4 = a_3 - 2\\\\f(5)=a_5 = a_4 - 2\\\\\therefore f(n) = a_n=a_{n-1}-2 \\$

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3 years ago