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4 years ago

Please help me on #13

Mathematics

1 answer:

jekas [21]4 years ago

3 0

(2k - 3) / -5 > 7....multiply both sides by -5....eliminating the -5 on the left
and change the inequality sign because ur multiplying by a negative
2k - 3 < 7 * -5
2k - 3 < -35...add 3 to both sides
2k < -35 + 3
2k < - 32...divide both sides by 2
k < -32/2
k < - 16

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I have 200 coins to put into 4 bags I put the coins into each bag so that each bag has 2 mote coins than the one before How many

Allushta [10]

First bag has 47 coins and second bag has 49 coins and third bag has 51 coins and fourth bag has 53 coins

<em><u>Solution:</u></em>

Given that,

Total number of coins = 200

Number of bags = 4

<em><u>I put the coins into each bag so that each bag has 2 more coins than the one before</u></em>

Therefore,

Each bag has 2 more coins than the one before. Based on this we can say,

Let "x" be the number of coins put in first bag

Then, x + 2 is the number of coins put in second bag

Then, x + 4 is the number of coins put in third bag

Then, x + 6 is the number of coins put in fourth bag

We know that,

Total number of coins = 200

$x + x + 2 + x + 4 + x + 6 = 200\\\\4x + 12 = 200\\\\4x = 200-12\\\\4x = 188\\\\x = 47$

Thus,

Coins put in first bag = x = 47

Coins put in second bag = x + 2 = 47 + 2 = 49

Coins put in third bag = x + 4 = 47 + 4 = 51

Coins put in fourth bag = x + 6 = 47 + 6 = 53

Thus number of coins in each bag are found

4 0

3 years ago

In the diagram, lines AB , CD, and EF intersect at G

Ghella [55]

Answer:

D. 70°

Step-by-step explanation:

Given:

m<DGB = 35°

m<CGF = 75°

Required:

m<AGE

SOLUTION:

m<EGD = m<CGF (vertical angles are congruent)

m<EGD = 75°

m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)

m<AGE + 75° + 35° = 180° (substitution)

m<AGE + 110° = 180°

Subtract 110 from each side of the equation

m<AGE = 180° - 110°

m<AGE = 70°

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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lord [1]

Answer:

Step-by-step explanation:

There would be 9 because 7 goes into 66 9 times

4 0

3 years ago

5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.

HACTEHA [7]

Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours

<h3>How to graph the inequality?</h3>

Let x represents hours babysitting and y represents hours tutoring

So, we have:

Earnings = Rate of babysitting * x + Rate of tutoring* y

This gives

Earnings = 5x + 10y

He wants to earn at least $95.

This means that:

5x + 10y ≥ 95

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)

This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours