MATHEMATICS HIGH SCHOOL

Solve for x

1:3.6=x:170

Answers

Answer 1
Answer: 1.1\3.6=x\1706/3=x/1703x=1020X= 340

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Answers

Answer:

b) Create an equation to solve for x (type your equation below):

(4x + 8)° = 6x°

c) Find the value of x:

x = 4°

Explanation for (b):

(4x + 8)° and 6x° are vertically opposite angles, so they are equal.

Explanation for (c):

We got the equation from (b) as:

(4x + 8)° = 6x°

or, 6x - 4x = 8°

or, 2x = 8°

or, x = 4°

Use the figure shown to complete each of the following questions.1. ∠QTR and ______ are complementary.
a. ∠QTS
b. ∠RTS
c. ∠PTN
d. ∠QT
2. ∠QTN and _____ are supplementary.
a. ∠QTS
b. ∠QTP
c. ∠RTS
d. ∠PTR
3. If ∠PTQ measures 29°, then PTN measures _____.
a. 51º
b. 45º
c. 61º
d. 71º
4. If ∠NTR measures 148°, then ∠RTS measures _____.
a. 12º
b. 32º
c. 22º
d. 42º
5. ∠PTN is adjacent to _____.
a. ∠QTR
b. ∠PTS
c. ∠RTS
d. ∠NTS

Answers

It's difficult to answer questions without picture of the figure. Anyway I've got it, so my answers are:
1. ∠QTR and RTS are complementary. 
2. ∠QTN and QTS are supplementary. 
3. If ∠PTQ measures 29°, then PTN measures 61. 
4. If ∠NTR measures 148°, then ∠RTS measures 148. 
5. ∠PTN is adjacent to PTS. 

Answer: 4. Is actually 32 degrees. I believe the answer listed was a typo.

Add.17. (+5) + (-2) + (-1)
18. (-7) + (-6) + (-2)
19. (+11) + (-9) + (-4)
20. (+4) + (-8) + (+6)

Answers

Answer:

17. +5-2-1=+2

18. -7-6-2=15

19. +11-9-4=-2

20.+4-8+6=+2

Devin has started a lawn care service. He will charge a mowing fee of $10 plus $3 per square yard of lawn. He also offers trimming service, at $8 plus $1 per yard of the perimeter. Using x for the length of the lawn and y for the width of the lawn which part of the expression 10+3xy+8+(2x+2y) represents the charge for the mowing?A. 8+(2x+2y)
B. (2x+2y)
C. 3xy
D. 10+3xy

Answers

Answer:

Option D is correct.

Charge for the mowing = 10 + 3xy

Step-by-step explanation:

here, x represents the length of the lawn and y represents the width of the lawn.

\text{Area of lawn} = \text{length} * \text{width} = xy square yard

Perimeter of lawn = 2 (x+y) = 2x + 2y yard

As per the statement:

Devin has started a lawn care service. He will charge a mowing fee of $10 plus $3 per square yard of lawn.

then;

Charge for mowing = 10 + 3 \cdot \text{Area of lawn}

                               = 10 + 3xy

Also, he offers trimming service at $8 plus $1 per yard of the perimeter.

⇒ Trimming service =8 + 1 \cdot \text{Perimeter} = 8 + (2x +2y)

Therefore, from the expression: 10 + 3xy +8 + (2x+2y)

10 + 3xy represents the charge for the mowing.
Answer is D because he charge 10 $ mowing free +3 per square yard of lawn
lawn has dimensions:
x and y
Area= x*y=xy squar yard
so charge is 
10 +3*Area=10+3xy
 

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Answers

Answer:

35

Step-by-step explanation:

3,250 - 2,100 = 1,150

( 1,150 ÷ 3,250 ) × 100 ≈ 35.4%

Each child ticket for a ride costs $3, while each adult ticket costs $5. The ride collected a total of $150, and 40 tickets were sold. How many of each type of ticket were sold?A. 150 child and 40 adult
B. 24 adult and 10 child
C. 30 child and 10 adult
D. 25 child and 15 adult

Answers

The way to go about this is to think logically about the answers
A) isn't possible as 40 tickets were sold and 150 plus 40 = 190
B) is similar to above only there was less than 40 tickets sold
C) very possible
D) very possible
next step:
C) (30 x 3) + (10 x 5) = 90 + 50 = $140 (by this we should assume that the answer is D) 
D) (25 x 3) + (15 x 5) = 75 + 75 =  $150 ( yay answer is D :) )
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