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3 years ago

Which of the following number lines represents the compound inequality shown below?

Mathematics

1 answer:

OLEGan [10]3 years ago

6 0

Answer:

I'm not really sure what the question might be asking or if I've been given all the information but this is how you would solve it as (-2,4] meaning any real number between these will give you a real x on the domain.

Step-by-step explanation:

$-4 < 3x + 2 \leqslant 14 \\ - 6 < 3x \leqslant 12 \\ - 2 < x \leqslant 4$

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Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than

anygoal [31]

Answer:

$9d+11\frac{1}{4}>72$

Step-by-step explanation:

We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.

We have been given that after 1 minute, Joey has eaten $11\frac{1}{4}$ hot dogs.

Hot dogs eaten in next 9 minutes would be 9 times d that is $9d$ .

Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: $9d+11\frac{1}{4}$ .

Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

$9d+11\frac{1}{4}>72$

Therefore, our required inequality would be $9d+11\frac{1}{4}>72$ .

3 0

3 years ago

1) Jose saves $9/ week.He wants to buy a backpack that cost $45. If he save his money for 7 weeks, Would he be able to afford th

Alja [10]

1. Yes he would be able to but the back pack and he would actually have 18 to spare. Explanation- he saves $9 a week so if he saves for 7 weeks then he will have $63 but since he only needed 45 he will have 18 to spare
2. Since they have 65.50 but need to have 180 then u could just subtract 180 from 65.50 so they would 114.5 more dollars
3. Since lee scored 4 FEWER this tells us that micheal has more points so you would just add 4 to micheals total of points which would give you that micheal had 22 points

3 0

3 years ago

Read 2 more answers

This rectangular patio is tiled using 50 cm by 50 cm square tiles. How many tiles are used?

Bad White [126]

Answer:

60 tiles are used

Step-by-step explanation:

1m equals 100 cm.

5m equals 500

3m equals 300

the whole thing is 500 by 300 which when you multiply gives you

150,000. When you multiple 50 by 50 it gives you 2,500. So when you divide 150,000 by 2,500 it gives you a total of 60 tiles. HOPE THIS HELPS

5 0

3 years ago

Read 2 more answers

Anyone know how to solve this?

Dmitry_Shevchenko [17]

Answer:

whats the question..?

Step-by-step explanation:

7 0

3 years ago

The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars

vlabodo [156]

The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

$A=P(1+\frac{r}{100})^t$

to obtain

$6427.35=6000(1+\frac{r}{100})^2$

We divide through by 6000 to obtain,

$\frac{6427.35}{6000}=(1+\frac{r}{100})^2$

This implies that,

$1.071225=(1+\frac{r}{100})^2$

We take the square root of both sides,

$\sqrt{1.071225}=(1+\frac{r}{100})$

This gives us,

$1.035=(1+\frac{r}{100})$

Add -1 to both sides of the equation to obtain

$0.035=\frac{r}{100}$

Multiply through by 100 to obtain;

$r=3.5$ %

$Therefore the rate is 3.5%$

3 0

3 years ago