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3 years ago

Solve the following system of equations graphically on the set of axes below. Y=-x+1 Y=1/4x+6

Mathematics

1 answer:

Anastasy [175]3 years ago

6 0

Answer:

look at the picture, i wrote in french but o think yoi could understand

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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

egoroff_w [7]

A. Constant of proportionality in this proportional relationship is; k=5

B. Equation to represent this proportional relationship is : c=t/k

Step-by-step explanation:

A.Given that : the amount she pays each month for international text messages is proportional to the number of international texts she sends, then

$3.20 k = 16 ---------where k is the constant of proportionality

k= 16/3.20 =5

k=5

B. Let c be the cost of sending the texts per month and t be the number of texts sent per month , so

c=t/k

c=t/5 ---------- is the proportionality relationship.

For t=16 , c= 16/5 =$3.20

Learn More

Proportionality :brainly.com/question/11490054

Keywords: cell phone plan, month, international texts, proportional,paid

#LearnwithBrainly

4 0

3 years ago

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

Paul travel to the lake and back. The trip took 3 hours and the trip back took 4 hours He averaged 10 mph faster on the trip the

ollegr [7]

Answer:

40 mph

Step-by-step explanation:

We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...

outbound speed : inbound speed = 4 : 3

These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...

4×10 mph = 40 mph

Paul's average speed on the outbound trip was 40 mph.

___

The distance to the lake was 120 mi.

4 0

3 years ago

Read 2 more answers

If the side of a square is doubled in length, what is the percentage increase in area

ycow [4]

Doubling the side length multiplies the area by 4

8 0

3 years ago

A rectangular park has a width of 8/9 of a mile and a length 3/5 of a mile. Find the

Nesterboy [21]

Answer:0.53 miles

Step-by-step explanation:

4 0

3 years ago