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nika2105 [10]
3 years ago
6

You need at least 5000 points to earn a gift card from your bank. You currently have 2700 points.You deposit money in your savin

gs account and earn an additional 400 points.
a. Write an equation and inequality that represents the number of points you need to earn a gift card.

b. Change the above equation or inequality to include the additional 400 points.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

A.) 5000p-2700p= 2300p   B.) 5000p-2700p-400p=1900p

Step-by-step explanation:

A. Is how many points you need after having the 2700. B. Is how many points you need after depositing the money. p=points

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In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse
nata0808 [166]

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is  x cm long the 2 legs are  x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

3 0
3 years ago
A student creates a table of the equation y = 5x + 8. The student begins the table as shown below. Which shows the correct headi
SVEN [57.7K]

Answer:

1

Step-by-step explanation:

Column A=X the first value for x is 1

Column B has the x value replaced in the equation 5x+8. 5(1) + 8

Column C has the result, y=13

3 0
3 years ago
What is 7% tax on a $9.79 purchase
irga5000 [103]
All u do is put 9.79 multiplied by .07 and it gives you 0.6853 so its .68 or .69 cents if u round
6 0
4 years ago
Read 2 more answers
Point B is the midpoint of AC, and point C is the midpoint of AD. If CD=12, what is AB?
Sliva [168]

Answer: AB = 6

Step-by-step explanation:

If CD = 12 , AC also = 12

B is the midpoint of AC so one side = 6

AB is one side of AC , so AB = 6

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you would mark me brainliest!

4 0
3 years ago
Use the graph below to estimate the solution to the system of equations shown.
Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

y=-x-3 (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

y=2x-8 (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

y=-x-3\\y=2x-8

Substitute y=2x-8 in y=-x-3

2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )

So the answer is the second choice.

6 0
3 years ago
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