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Katena32 [7]
3 years ago
5

On Saturday, Lucas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven? write an expre

ssion and simplify it.
Mathematics
1 answer:
Olegator [25]3 years ago
3 0

________________________________

Here, Distance covered by Lucas on Saturday

= 4x – 5 miles

Now, Distance covered by Lucas on Sunday

= 3x – 10 miles

________________________________

Hence, Difference between the distances

would be / –

Distance covered on Saturday – Distance covered on Sunday

= (4x – 5) – (3x – 10)

= 4x – 5 – 3x + 10

[ Because (– * + = – ) And ( – * – = +) ]

= 4x – 3x + 10 – 5

= 1x – 5

= x – 5 ( – Ans )

Hence, The difference between Distance covered ( In miles ) is ( x – 5 ) .

________________________________

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Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it t
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Here's the given:
P=$400
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The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

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6 0
3 years ago
Solve for x.<br> 18x - 12<br> 16x +8<br> x = [?]
rodikova [14]

Answer: x = 10;

Both the angles are congruent, therefore;

8x - 12 = 6x + 8

=> Now subtract 6x from each side of "="

2x - 12 = 8

=> Add 12 to each side;

2x = 20

=> Lastly divide each side by 2;

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Hope this helps!

7 0
3 years ago
Read 2 more answers
What are the methods of substitution?
anyanavicka [17]

Answer:

-<u>One Equation</u>: is set equal to a variable

Example:

y = 2x + 1

x + 3y = -12

You already have y, plug it back into x + 3y = -12

x + 3(2x + 1) = -12

x + 6x + 3 = -12

7x + 3 = -12

(Subtract 3 from each side)

7x = -15

(Divide by 7)

x = - 2.14

-<u>No Equation</u>: is set equal to a variable

Example:

2x + y = 10

4× + 2y = -3

Subtract 2x from each side of 2x + y = 10, you should get y= -2x + 10. Now that you have found y, substitute y into 4x+ 2y = -3.

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4x + -4x + 20 = -3

(Subtract 20 from each side)

4x + -4x = -23

(Add 4x and -4x)

0 = -23

No Solution

<u>-Both</u><u> </u><u>Equations</u>: are set equal to a variable

Example:

y = x + 5

y = -x + 3

(you already have y so plug it into the other equation to solve for x)

-x + 3 = x + 5

(Add -x on both sides)

3 = 2x + 5

(subtract 5 from both sides)

-2 = 2x

(Divide by 2 on each side)

x = -1

I hope this helped!

8 0
3 years ago
Angles that measure between 0 and 90 degrees are called_?
azamat

Answer:

Acute angles.

Step-by-step explanation:

Acute angles are from 0-90 degrees.

Hope this helps :)

7 0
4 years ago
Read 2 more answers
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