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amid [387]
3 years ago
7

Many mechanics advised people not to drive their cars more than 5,000 miles between oil changes kaci has driven her car 3450 mil

es since the last oil change write and solve an inequality to find out how many more miles she might drive before having her oil changed again
Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

See explanation!

Step-by-step explanation:

We know that the maximum miles allowed before oil change is 5,000miles (<u>thus Kaci can drive less or up to 5,000 miles but not more</u>).

Kaci has already driven 3,450miles since last oil change.

Inequalities are typically employed to show a relating or comparative relationship between expressions and can be identified by the sybolism of less, more or/and equal to (i.e. , > , \leq, \geq ).

Let us denote the miles Kaci can drive before oil changing again by x, then we can write the following inequality:

3450+x\leq 5000

solving for the remaining miles x allowed

3450+x\leq 5000\\x\leq 5000-3450\\x\leq 1550

Thus Kaci can drive up to and including 1550 miles before chaging car oil again.

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This is a factorial sequence that can be modeled by An = n!. As you may see, the increasing numbers are factorials of 1,2,3,4, and 5. Factorial means multiplying backwards and is represented by !. For example, 1! is 1*1 =1. 2! is 2*1, 3! is 3*2*1, 4! is 4*3*2*1 etc.
8 0
3 years ago
What is the value of x in the equation 2x+3y=36y when y=6?
jonny [76]

Answer:

y = 6 so

2x + 3y = 36y is equal to:

2x + 3*6 = 36*6

-> 2x + 18 = 216

We must now move 18 to the other side of the equation. As we do that, we also change it's sign to negative 18:

2x = 216 - 18

We simplify this

2x = 198

Now, that we got to this point, we know that 2x is equal to 198. To find x we must divide the both sides of the equation by two:

2x/2 = 198/2

And we get that

x = 99

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
An airplane flying at attitude of 32,000 feet descends at a rate of 1,300 feet per minute. If the plane descends for 15 minutes,
Furkat [3]
Since the plane descends 1,300 feet per minute it would descend 19,500 feet after 15 minutes (1,300 x 15 = 19,500) Subtract this from the plane's initial altitude 32,000 and the new altitude will be 12,500. (32,000-19,500=12,500)

6 0
3 years ago
Brainly y=-1/3x+5 graph
Wewaii [24]

Answer:

The answer will be listed below.

Step-by-step explanation:

To graph the equation, first mark down your y-intercept which would be 5. Look at the y-axis and put a dot on 5. Now you must graph the slope of the line. To graph the slope, you would use rise/run (1/3). You would start on 5 and go up one and to the right three times. Keep repeating the process until you run out. Now draw the line through the dots and you did it!

8 0
2 years ago
Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)
UNO [17]

Therefore, the equation of circle is: (x+3)^{2}+(y+5)^{2} = 100

<h3><u>What is a circle?</u></h3>
  • All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
  • The radius of a circle is the separation between any point on the circle and its center.
  • The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
  • A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that(h,k) = (-3,5)but we are not given the radius.

However, we can find the radius by using the distance formula.

\sqrt{x^{2} +y^{2} }, where x=x_{1} -x_{2} and y=y_{1} -y_{2}

Putting the values, we get:

\sqrt{8^{2} +6^{2} }

The radius comes out to be:

r=10

An equation of the circle with center (h,k) and radius r is

(x-h)^{2} +(y-k)^{2} = r^{2}

Now, substituting the values, we get:

(x--3)^{2} +(y-5)^{2} = 10^{2}

Therefore, the equation of circle is:

(x+3)^{2}+(y+5)^{2} = 100

Know more about circles with the help of the given link:

brainly.com/question/10618691

#SPJ4

7 0
1 year ago
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