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ruslelena [56]
4 years ago
6

Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip she only drove 52 mile

s. Write and solve an equation to find the number of days Veronica traveled.
Mathematics
1 answer:
dem82 [27]4 years ago
8 0

Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days

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

Veronica traveled 562 miles to Venice, Florida

She drove 85 miles every day

Let "d" be the number of days she drove 85 miles per day

On the last day of her trip she only drove 52 miles

Therefore, we frame a equation as,

Total miles = 85 miles every day for "d" days + last day

Total miles = 85(d) + 52

Total miles = 85d + 52

562 = 85d + 52

85d = 562 - 52

85d = 510

d = 6

She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7

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Troy shares a family bag of 24 Jet Plane
nlexa [21]

Answer:

Troy ate 7 lollies.

Step-by-step explanation:

You start out by finding how many lollies Troy's two friends ate out of the 24 lollies. To find out how much Tane ate out of the 24 Jet Plane lollies you simply <u><em>divide 24 by the denominator</em></u> --> 24/3=8, <em><u>then you multiply your answer by the numerator</u></em> --> 8x1=8, so Tane ate 8 of the 24 lollies. Repeat this same process for Levi, and your answer should be 9.

Because Tane ate <u>8</u><u> out of the 24</u> lollies and Levi ate <u>9</u><u> out of the 24 lollies</u>, that indicates that <u>17</u><u> out of the 24 lollies</u> are gone (just add your results, 8+9=17). This leaves Troy with only 7 lollies (<em><u>subtract 17 from 24</u></em> to find out how many lollies are left, 24-17=7).

4 0
3 years ago
Read 2 more answers
What is the value of x in the equation 2(6x+4)-6+ 2x = 3(4x+3)+1 ?<br> 1
Salsk061 [2.6K]

Answer:

Here is the process I did:

2(6x+4)-6+2x=3(4x+3)+1

Step 1: Distribute the 2 to the numbers in the parentheses (6x +4) on the left side of the equation

6x(2)+4(2)-6+2x=3(4x+3)+1

12x+8-6+2x=3(4x+3)+1

Step 2: On the left side of the equation combine like terms

x's go with x's (12x and 2x):

(12x + 2x)+8-6=3(4x+3)+1

14x+8-6=3(4x+3)+1

normal numbers go with normal numbers ( 8 and -6):

14x+(8+(-6))=3(4x+3)+1

14x+2=3(4x+3)+1

Step 3: Distribute the 3 to the numbers in the parentheses (4x+3) on the right side of the equation

14x+2=4x(3) +3(3) + 1

14x+2=12x + 9 + 1

Step 4: On the right side of the equation combine like terms

normal numbers go with normal numbers ( 9 and 1):

14x+2=12x + (9 + 1)

14x+2=12x + 10

Step 5: Bring 2 from the left side to the right by subtracting it to both sides

14x+(2-2)=12x + (10-2)

14x = 12x + 8

Step 6: Bring 12x from the right side to the left by subtracting it to both sides

(14x - 12x) = (12x - 12x) + 8

2x = 8

Step 7: Isolate x by dividing 2 to both sides

x = 4

Hope this helped!

8 0
4 years ago
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11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is
alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

y = 300 - 4x -x^2

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

160 = 300 - 4x -x^2\\x^2 + 4x  - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

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3 years ago
What is the surface area, in square centimeter, of the square pyramid?
AnnZ [28]
Surface area = 56 cm2

Explanation:

Area of square base = Side x Side = 4 x 4 = 16 cm2

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Surface area of pyramid = 16 + 40 = 56 cm2
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3 years ago
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Answer:

42

Step-by-step explanation:

alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:

y - 10 = 32

y = 32+10

y = 42.

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