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Shkiper50 [21]
3 years ago
5

Nine stuffed animals, all different, are placed along a babies toy shelf.  How many possible  arrangements are there if:  a)  th

ere are no restrictions.  b)  Cookie Monster must be in the middle.  c)  BERT and ERNIE must be together.  d)  BERT, ERNIE, and OSCAR must be together.  e)  BERT, ERNIE, and OSCAR must not be together.  f)  they must not be in alphabetical order. 
Mathematics
2 answers:
BartSMP [9]3 years ago
5 0
<span>BERT, ERNIE, and OSCAR must be together.  e)  </span>
zzz [600]3 years ago
4 0
A)  there are no restrictions = 9^9 = 81
b) Cookie Monster must be in the middle = 8^8 = 64
c) <span>BERT and ERNIE must be together =  Out of 9, 7 can be rearranged
d) </span><span>BERT, ERNIE, and OSCAR must be together = Out of 9, 6 can be rearranged
e)  UNSURE OF ANSWER E AND F
</span>
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The number 321.8 is 34% of x. What is the value of x rounded to the nearest whole number?
Anni [7]

Answer:

946

Step-by-step explanation:

Let's make an equation :

34% of x = 321.8

Covert 34% into decimal by dividing by 100 :

34 ÷ 100 = 0.34

Rewrite equation with decimal form :

0.34x = 321.8

Divide both sides by x to make x the subject :

x = 321.8 ÷0.34

x = 946.470588235

To the nearest whole number will be 946 as 4 rounds it down

So our final answer will be 946

Hope this helped and have a good day

7 0
1 year ago
Read 2 more answers
Radical expressions Help pls multiple choice
Ann [662]

Answer:

4th option (sqrt(10))/2

Step-by-step explanation:

\frac{5}{\sqrt{10} }  *  \frac{\sqrt{10}}{\sqrt{10} } \\  \frac{5\sqrt{10}}{10} \\\\frac{\sqrt{10}}{2}

8 0
3 years ago
Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.
Vlad [161]

Answer:

Catron's error is

"She did not follow order of operations"

Step-by-step explanation:

Catron evaluates the expression (negative 9) (2 and two-fifths)

That expression can be written as below

(-9)(2\frac{2}{5})

Catron's error is

"She did not follow order of operations"

The corrected steps are

Step1: Given expression is (-9)(2\frac{2}{5})

Step2: Convert mixed fraction into improper fraction

(-9)(2\frac{2}{5})=(-9)(\frac{12}{5})

Step3: Multiplying the terms

(-9)(2\frac{2}{5})=-7\frac{-108}{5}

Therefore solution (-9)(2\frac{2}{5})=-7\frac{-108}{5}

6 0
3 years ago
Read 2 more answers
HELP ASAP
astra-53 [7]

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30

8 0
2 years ago
Use two unit multipliers to convert 628 kilometers to centimeters
irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

\frac{628 km}{1}

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the  first unit multiplier by putting 1 km in the  denominator and 1000 m in the numerator, so the  km will cancel. So we multiply by the unit multiplier,

\frac{628 km}{1} \times \frac{1000m}{1km}

Now the km's will cancel:

\frac{628}{1} \times \frac{1000m}{1}

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the  first unit multiplier by putting 1 meter in the  denominator and 100 cm in the numerator, so the  meter's will cancel. So we multiply by the unit  multiplier

\frac{100cm}{1m}

\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}

We cancel the m's and we end up with:

628 \times 1000 \times 100 cm

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0
3 years ago
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