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Jet001 [13]
3 years ago
15

Find the value of x so the figures have the same area

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

B) 4.5

Step-by-step explanation:

The area of the first figure is 10x

The area of the second figure is 6(x+3)=6x+18

To solve, find the x that makes 10x=6x+18

   1) 10x=6x+18

   2) 4x=18

   3) x=4.5

To check work)

   1) 10(4.5)=6(4.5)+18

   2) 45=27+18

   3) 45=45

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solve each problem.simplify your answer.One inch on a map equals 375 miles.what do 5 3/4 inches represent.
larisa [96]
1 inch × 375 = 375 miles
5³/₄ inches × 375 = 2156¹/₄ miles

If an inch on a map is equal to 375 miles, then 5³/₄ inches on an map is equal to 2156¹/₄ miles.
3 0
3 years ago
A dog uses 30 lbs of dog food per day. How many pounds are used in a year?
Ludmilka [50]
To solve this we would do 30×365

We would do this because each day the dog 30lbs

So we have the equation y=30x
Where y= total amount of dog food
And x= number of days

In a year there are 365 days typically, so we do 30×365

30×365=10,950

In one year 10,950 lbs of dog food are used
6 0
4 years ago
sweaters already on sale for 20% off the regular price cost $28 when purchased with a promotion coupon that allows an additional
r-ruslan [8.4K]

The original price was $50.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50

3 0
3 years ago
The formula c = 5p + 210 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to
Lesechka [4]
It would be 31 because if they are willing to spend 365 on the party then you’d replace the c with 365 and then subtract 210 from 365 and then divide 5 to get the variable by itself
5 0
3 years ago
In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

5 0
4 years ago
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