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Kisachek [45]
2 years ago
8

- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How m

uch less would the bed cost if Mona bought it in the nearby city?
Mathematics
1 answer:
pentagon [3]2 years ago
3 0

Answer:

$20.85 less.

Step-by-step explanation:

City sales:

7% tax = 48.65

total bed cost = $743.65

Nearby City:

4% tax = 27.8

total bed cost = $722.8

city sale - nearby city

743.65 - 722.8

=20.85

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Jon recently drove to visit his parents who live 270 270 miles away. On his way there his average speed was 24 24 miles per hour
Ber [7]

Answer:

He drove there at 60 mph, and he drove back at 36 mph.

Step-by-step explanation:

one way distance = d = 270 miles

average speed on way back = s

average speed on the way there = s + 24

time driving there = t

time driving back = 12 - t

average speed = distance/time

distance = speed * time

going there:

270 = (s + 24)t

270 = st + 24t

going back

270 = s(12 - t)

270 = 12s - st

We have a system of equations:

270 = st + 24t

270 = 12s - st

Solve the first equation for t.

t(s + 24) = 270

t = 270/(s + 24)

Substitute in the second equation.

270 = 12s - s[270/(s + 24)]

270 = 12s - 270s/(s + 24)

Multiply both sides by s + 24.

270s + 6480 = 12s^2 + 288s - 270s

12s^2 - 252s - 6480 = 0

Divide both sides by 12.

s^2 - 21s - 540 = 0

(s - 36)(s + 15) = 0

s = 36 or s = -15

The average speed cannot be negative, so we discard the solution s = -15.

s = 36

s + 24 = 60

Answer: He drove there at 60 mph, and he drove back at 36 mph.

3 0
3 years ago
PLEASE ANSWER ASAP! The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line an
Alik [6]
B. Y-y1=m(X-X1)
Y--1= 2(X-2)
Y+1= 2x-4
Sub 1
Y= 2x-5

The m is 2 cuz it's parallel to the other equation
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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I need help on number 1
musickatia [10]

A cube has 6 faces. The surface area of a cube is 6 times the area of one face.

SA = 6s^2

SA = 6 * 6cm^2

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SA = 216cm^2

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3 years ago
Evaluate ab - c. If a = 5, b = 3, and c = 4
irina1246 [14]
The answer is 11 The answer is 11 The answer is 11
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