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Radda [10]
3 years ago
5

The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D

is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
Mathematics
2 answers:
Likurg_2 [28]3 years ago
3 0

A) 1/2*12 = 6 ft above sea level

B) Because City D is 1/2 of 6, it cannot be negative because we are not multiplying anything by a negative number.

beks73 [17]3 years ago
3 0

Answer:

Part A: \dfrac{1}{2}\times 12\text{ feet}

Part B: 6 feet above sea level and positive

Step-by-step explanation:

The elevation of city A is 60 feet above sea level.

The elevation of city C is 12 feet above sea level.

The elevation of city D is \dfrac{1}{2} of the elevation of city C.

Part A: Expression which shows Elevation of city D in feet above sea level.

\text{Elevation of city D}=\dfrac{1}{2}\times \text{Elevation of city C}

\text{Elevation of city D}=\dfrac{1}{2}\times 12

Part B: Simplify the expression of part A

\text{Elevation of city D}=\dfrac{1}{2}\times 12=6\text{ feet}

The elevation of city D is 6 feet above sea level.

It would be positive because above sea level height is positive and below sea level takes negative.

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Subtract the fractions and simplify the answer 7 8/9-5 3/5
weeeeeb [17]
One way in which to do this problem would involve subtracting 5 from 7 (result:  2) and then subtracting 3/5 from 8/9.
To subtract 3/5 from 8/9, you'd need to find the lowest common denominator (LCD) of 3/5 and 8/9, convert both fractions to have this LCD, and then subtract.

The LCD is (5)(9)=45.  Then 8/9 and 3/5 become 40/45 and 27/45.

Subtracting 27/45 from 40/45 results in the fraction 13/45.
Then the full solution is  2 13/45.

You could also do this problem by converting  7 8/9    and   5 3/5 into improper fractions:

71/9 - 28/5.  Again, the LCD is 45.  Can you rewrite both fractions with 45 as the common denominator and then perform the subtraction?
4 0
4 years ago
1/3 ( x - 10) = -4 ???​
Pepsi [2]

Answer:

x =  - 2

Step-by-step explanation:

1) Simplify 1/3 ( x - 10) to x-10/3.

\frac{x - 10}{3}  =  - 4

2) Multiply both sides by 3.

x - 10 =  - 4 \times 3

Simplify 4 × 3 to 12.

x - 10 =  - 12

4) Add 10 to both sides.

x =  - 12 + 10

5) Simplify -12 + 10 to -2.

x =  - 2

So, therefor, the answer is, x = -2.

4 0
3 years ago
1. m∠QPR =<br><br> 2. m∠QTP =<br><br> 3. RP =<br> Show all the work
alex41 [277]

Answer:

1. 30°

2.90°

3. 12 units

Step-by-step explanation:

I can't believe there's nothing confirming that this is a parallelogram/a rhombus?! Assuming is awful, and I wish you could say you can't know for sure lol but for the sake of this answer, let's just call it a rhombus. (There was probably some context elsewhere that you didn't put over here, hopefully.)

1.

The reason I say this is: in a rhombus, the diagonals bisect the angles. This means that the diagonals split the angles they meet into two equal parts. That way, it would make sense. m∠QPR=m∠SPR=30°.

2.

If it is a rhombus, the diagonals are perpendicular to each other, so m∠QTP should be 90°.

3.

Diagnonals in a rhombus (and in any parallelogram) bisect each other, so PT=TR=6, and RP=PT+TR=12 units.

Sorry if this is all dreadfully wrong, and I hope I helped you!

7 0
3 years ago
A. Alternate exterior angles
tresset_1 [31]

Answer:

D

Step-by-step explanation:

Supplementary = 180 degrees aka straight line

3 0
3 years ago
Which phrase describes the variable expression m + 5
Vikentia [17]

b) five more than m

"m in addition to 5"= m+5

5 0
3 years ago
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