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3 years ago

12

Identify the independent and dependent quantity in each situation. The cost of a long distance telephone call increases with the

number of minutes of the call.

1 answer:

blsea [12.9K]3 years ago

8 0

Minutes is independent and the cost is dependent

time is mostly always independent and cost is depending on the amount of time

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The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

3 years ago

A company had an 8% increase in profits in July. If the July profits were

vovikov84 [41]

Answer:

A- $55k

Step-by-step explanation:

common sense if there was in increase by only 8% that the only logial answer that would be the A- : $4444 when you multiply 8% of 55,555

5 0

3 years ago

Read 2 more answers

A batting machine uses an automatic baseball feeder. During baseball

Inessa05 [86]

The feeders in battling machine are represented in proportions and fractions.

The equation that represents the problem is: $\mathbf{\frac 16x + 15 = \frac 23x}$
The feeder can hold <em>30 baseballs</em>, when full

The given parameters are:

<em /> $\mathbf{Initial = \frac 16x}$ <em> ------ 1/6 full</em>

<em /> $\mathbf{Additional = 15}$ <em> --- baseballs added</em>

<em /> $\mathbf{Final = \frac 23x}$ <em> ---- 2/3 full</em>

<em />

So, the equation that represents the problem is:

$\mathbf{Initial + Additional = Final}$

So, we have:

$\mathbf{\frac 16x + 15 = \frac 23x}$

The number of baseballs it can hold is calculated as follows:

$\mathbf{\frac 16x + 15 = \frac 23x}$

Multiply through by 6

$\mathbf{x + 90 = 4x}$

Collect like terms

$\mathbf{4x - x = 90 }$

$\mathbf{3x = 90 }$

Divide through by 3

$\mathbf{x = 30 }$

Hence, the feeder can hold 30 baseballs, when full

Read more about proportions and fractions at:

brainly.com/question/20337104

5 0

2 years ago

kevin answered 54 out of 60 questions correct on his algebra quiz.what is his score as a percent ? round your answer to the near

Mila [183]

Answer: 90%

Step-by-step explanation:

54/60=0.9 0.9*100= 90

6 0

3 years ago

Read 2 more answers

A company is paying a local television station to run its commercials. The cost for running commercials is a one-time campaign f

Margarita [4]

The y-intercept is the value of y when x is equal to zero. From the equation,

y = 500 + 50x

the y-intercept is calculated by:

y = 500 + 50(0) = 500

Therefore, the correct answer is option B. The y-intercept is 500; it represents the one-time campaign fee.

8 0

3 years ago