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vampirchik [111]
3 years ago
15

The length of a rectangular garden is three feet less than twice it’s width. If the perimeter of the garden is 42 feet, what is

the length?
Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

The length of a rectangular garden is: 13 feet

Step-by-step explanation:

You have 2 lengths that are 2x-3 feet, and 2 widths that are x.

2x-3 + 2x-3 +x +x =42 feet

4x -6 +2x -42 feet

6x -6 = 42 feet

6x = 48 feet

x = 8 feet (so, 2x-3 = 16-3 = 13 feet)

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Elijah has $0.55 worth of pennies and nickels. He has twice as many nickels as pennies. Determine the number of pennies and the
maxonik [38]

Answer:

The number of nickels are <u>10</u> and number of pennies are <u>5</u>.

Step-by-step explanation:

Given:

Elijah has $0.55 worth of pennies and nickels.

He has twice as many nickels as pennies.

Now, to determine the number of pennies and the number of nickels that Elijah has.

Let the number of nickels be x.

And the number of pennies be y.

As given that he has twice as many nickels as pennies.

2y=x

x=2y. ......(1)

The total worth of worth of pennies and nickels = $0.55.

As, the value of a penny = $0.01.

And the value of a nickel = $0.05.

Now, to get the number of pennies and the number of nickels that Elijah has:

0.05(x)+0.01(y)=0.55

Putting the value of x from equation (1):

0.05(2y)+0.01(y)=0.55

0.10y+0.01y=0.55

0.11y=0.55

<em>Dividing both sides by 0.11 we get:</em>

y=5.

<em>The number of pennies = 5.</em>

Now, putting the value of y in equation ( 1 ) we get:

x=2y\\x=2\times 5\\x=10.

<em>The number of nickels = 10.</em>

Therefore, the number of nickels are 10 and number of pennies are 5.

3 0
3 years ago
A car’s odometer measures distance to the nearest 0.1 miles. Which is the most appropriate way to report the distance driven usi
Mkey [24]
I would think the answer would be C.
3 0
3 years ago
Read 2 more answers
List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°
scoray [572]
The given angles are 
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0
3 years ago
Which exponential expression is equal to 2−5·28
gizmo_the_mogwai [7]

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

3 0
3 years ago
Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure i
Alex
Djdjxkdjdkdkdjddjdjdj yuppppppppp 37387(5y6666+4)WEI
7 0
2 years ago
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