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laiz [17]
4 years ago
5

Kaya is saving money at a rate of $30 per month. Edgardo is saving money at a rate of $35 per month. They both started saving at

the same time. If you were to create a table of values and graph each function, what would be the slope of each graph?
Mathematics
1 answer:
ladessa [460]4 years ago
7 0
Let Kaya's savings be 30x and Edgardo's savings be 35x If they both started saving at the same time: f(x)=30x f(x)=35x Now, sub in values for x in to the function starting with 0. Subtract y2-y1 and x2-x1 for both functions. For slope: m=y2-y1/x2-x1 so your result will be m=30/1=30 for f(x) = 30x and m=35/1=35 for f(x) = 35x so the slopes are m=30 and m=35 respectively!
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You purchase pair of pants for $34.60 and a shirt for $12.30. If you need to pay 8% sales tax, what is the final price?
pantera1 [17]

Answer:

34.60+12.30=46.90

46.90/100=0.469

0.469*8=$3.75

7 0
4 years ago
A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin
pochemuha

The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.  

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph.  Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, \text{ distance } =\text{ speed }\times \text{ time }

\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}

We are given that, time taken for both are same. So \frac{40}{a-11}=\frac{70}{a+11}

\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}

8 0
3 years ago
-3w-3x-7w+4x-2w<br><br><br> ......
valkas [14]

Answer:

− 1 2 +

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Maristella is constructing an isosceles triangle to use as a model in her Algebra class. The perimeter of her triangle is 24 cm.
Vlada [557]

Isolating s, the equation written in terms of s is:

s = 12 - 0.5b

-------------------------

  • The equation for the length of the third side, as stated in the problem,("Maristella uses the equation b = 24 – 2s to find b, the length of the triangle's third side") is:

b = 24 - 2s

  • To solve for the lengths of the congruent sides, we isolate s, thus:

b = 24 - 2s

2s = 24 - b

Inverse of multiplication is division, thus:

s = \frac{24 - b}{2}

Separating into two fractions:

s = \frac{24}{2} - \frac{b}{2}

Solving each fraction:

s = 12 - 0.5b

A similar problem is given at brainly.com/question/5123313

3 0
3 years ago
the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.
laila [671]

The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation:  (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w         (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

3 + 2w - 3 = 2w

which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

Let's check our answer.  26cm is 3cm more than 23cm.  26cm + 26cm + 23cm + 23cm gives us 98cm.  The length is 26cm and the width is 23cm.


7 0
3 years ago
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