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IrinaVladis [17]
2 years ago
5

Gabby made a sandwich that is 0.20 meter long. Each bite that she takes has a length of 0.03 meter.What is the length of the san

dwich that remains after Gabby takes 3 bites?

Mathematics
1 answer:
Tems11 [23]2 years ago
4 0

Answer:

0.11 meter

Step-by-step explanation:

0.20m - (0.03m x 3)

0.20m - 0.09

0.11m

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Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
2 years ago
Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
pshichka [43]

Answer:

932.60 kg

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number.

114% of 818.07 kg =

= 114% * 818.07 kg

= 114/100 * 818.07 kg

= 1.14 * 818.07 kg

= 932.60 kg

7 0
2 years ago
Substitution for:<br> X-5y=10<br> 2x-10y=20
sergey [27]
Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.
5 0
3 years ago
Please everything that I put on this app no one has answered I’m just wasting points now
zloy xaker [14]

Answer:

QR=18

Step-by-step explanation:

QR/QO =QS/QP (proportionality theorem...OP||RS )

QR/39 =24/52

52QR = 24(39)

52Q2=936

QR=18

3 0
2 years ago
-1x + 5 = 10 solution please
FinnZ [79.3K]

Answer:i think its -5 because if you subtract 5 from 10 then its five hnd a negative times a negative is a positive

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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