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g100num [7]
3 years ago
10

Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. W

rite an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.
Mathematics
1 answer:
STatiana [176]3 years ago
8 0
Answer: The simplified express is 10m + 20.5 where m represents the total number of months.

To start we can write the following two expressions for her expenses.
8.5 + 62.5m   and     12 + 3.75m

Then, adding the two expressions together will give us a combined expression of:  10m + 20.5
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Lines A,B and C show proportional relationships which line has a constant of proportionally between y and x of 5
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34

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Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the s
dolphi86 [110]

Answer:

The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour

Step-by-step explanation:

The given parameters are;

The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind

The speed of the wind = 5 miles per hour

Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;

Time = Distance/Speed

Mr Solberg's speed against the wind = v - 5

Mr Solberg's speed with the wind = v + 5

The distance covered at a given time, while riding against the wind = 3 miles

The distance covered at the same time, while riding with the wind = 4 miles

The time in both instances are therefore 3/(v - 5) = 4/(v + 5)

From which we have;

3 × (v + 5) = 4 × (v - 5)

3·v + 15 = 4·v - 20

20 + 15 = 4·v - 3·v

4·v - 3·v = 20 + 15

v = 35

The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.

7 0
3 years ago
I’ve been stuck can someone explain
MariettaO [177]

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

AB and CD are two chords intersecting at O.

m∠AOD = 37°

m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]

m∠AOC = 180° - 37°

              = 143°

By the theorem of intersecting chords,

Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.

m∠AOC = \frac{1}{2}(\widehat{AC}+\widehat{BD})

143° = \frac{1}{2}[(x+5)+(x-5)]

143° = x

Therefore, Option (3) will be the answer.

3 0
3 years ago
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