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3 years ago

10

courtney has 155 coins in her purse. all of the coins are quarters and dimes, worth a total of $30.20. how many quarters does sh

e not have?

1 answer:

Assoli18 [71]3 years ago

3 0

Answer: she would have 98 quarters

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Solve (x - 2 < 5) U (x + 7 > 6).

dolphi86 [110]

Answer:

A) {x | -1 < x < 7}

Step-by-step explanation:

Given in the question two inequalities,

Inequality 1

(x - 2 < 5)

x < 5 + 2

x < 7

x is smaller than 7

Inequality 2

(x + 7 > 6)

x > 6 - 7

x > -1

x is greater then -1

When (x - 2 < 5) U (x + 7 > 6).

(x < 7) U (x > -1)

-1 < x < 7

When combined, x is greater than -1 but smaller than 7

8 0

4 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago

A survey showed that 9 every 25 students like dogs while 13th of every 20 students like cats. How many more of the students like

lilavasa [31]

Answer:

29/100 (Every 100 students, 29 more students like cats than dogs)

Step-by-step explanation:

First we need to put these numbers in fractions

The fraction that represents students that like dogs is 9/25

The fraction that represents students that like cats is 13/20

Now, we just need to subtract the fraction of cats by the fraction of dogs:

13/20 - 9/25

To do that, we need to make the denominators equal. We do that making multiplying the first fraction by 5 and the second by 4, so we have:

13/20 = 65/100

9/25 = 36/100

Then, subtracting then, we have:

65/100 - 36/100 = 29/100

So every 100 students, 29 more students like cats than dogs.

6 0

3 years ago

11. There are a total of 30 puzzle pieces. Three

natulia [17]

Answer: 2

Step-by-step explanation:

5-3=2

30-5=15

6 0

3 years ago

Read 2 more answers

Determine whether a(2,3) b(7.12) and c(-5.-24)

Vilka [71]

Where is the question?

3 0

4 years ago