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Lelechka [254]
3 years ago
9

Mrs Smith has 12 times as many markers as color pencils the total number of markers and colored pencils is 78 how many markers d

oes Mrs Smith have
Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
<em>x = markers</em>
<em>y = colored pencils</em>

12x = y

x= 72
y = 6

Okay, so what I did was divide 78 by 12 (to find the number of colored pencils) which gave me 6.5. You can't have half a colored pencil, so I rounded the number down to get 6. To find the number of markers, I multiplied 12 and 6 <em>(12x = 6) </em>which gave me 72. To check my answer I added the two amounts, 72 + 6, which gave me 78.

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a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to
gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

(682\frac{2}{3})\pi\ in^{3}  or  2,144.6\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

r=16/2=8\ in ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}

convert to mixed number

\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}

(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}

6 0
3 years ago
Read 2 more answers
Solve the inequalities 3x2 – 11x &gt; 20
Bas_tet [7]

Answer:

x=-10

Step-by-step explanation:

3x · 3x=9x-11x>20

-2x>20

÷-2    -2

___________-

x=-10

Hope this helps ∞

5 0
3 years ago
If 1 euro is priced at $1.25 and if 1 euro will also buy 88 Japanese yen (€1 = ¥88), in equilibrium, with no arbitrage opportuni
Alborosie

Answer:

So the exchange rate is that each dollar is worth 70.4 yens.

Step-by-step explanation:

We have that:

1 euro is priced at $1.25

1 euro will also buy 88 Japanese yen

This also means that:

$1.25 is priced at 88 Japanese yen

How much is the cross rate between the yen and the dollar (yen per dollar exchange rate)?

How much yens is 1 dollar?

This can be solved by a simple rule of three.

$1.25 - 88 yen

$1 - x yen

1.25x = 88

x = \frac{88}{1.25}

x = 70.4

So the exchange rate is that each dollar is worth 70.4 yens.

5 0
3 years ago
Question #3: Complete the statement below to show the correct value of 100%. Part A: The expression 100 3 = 10 because 100 = 102
BigorU [14]

Answer:

Step-by-step explanation:

Part A.

Expression (100)^{\frac{1}{2}} = 10

Because 100 = (10)^{2} and [(10)^2]^{\frac{1}{2}}=10^1=10

[Since, (a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1]

Part B.

When simplified, the answer is RATIONAL.

[Since, 10 can be written as \frac{10}{1}]

6 0
3 years ago
In 2015, Mrs. Dane paid $385 in Medicare taxes. This
Aleonysh [2.5K]

Answer:

$38,500

Step-by-step explanation:

Take the $385, then divide it by the percentage you know, 1 percent (.01 as a decimal) 385/.01 = $38,500, which is your answer.

Hopefully this helps - let me know if you have any questions!

5 0
3 years ago
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