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Anastaziya [24]
3 years ago
14

Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could h

ave divided the pieces so that everyone ate the same amount of cake.
Mathematics
1 answer:
Karolina [17]3 years ago
5 0
She could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally 

hope this helps :)
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What is the circumference of a circle with radius pi?​
vfiekz [6]

Answer:

2π² or 19.74

Step-by-step explanation:

  • <em>Circumference of a circle is C = 2πr</em>

Given r = π

<u>Then</u>:

  • C= 2π*π = 2π²

or

  • ≈19.74
6 0
3 years ago
You plan on purchasing a car in the next year. The car that you are interested in lists for $23,000 after taxes, license, and do
oksano4ka [1.4K]

Answer:

c. 8 months.

Step-by-step explanation:

First off let's get the current total of how much we have saved.

2/3 of $23,000 = 15,333.33.

Now we need to get our total salary to calculate for our Social Security and Medicare.

Total Salary : $1312.00 x 2 = $2,624.00

Social Security : 6.2% or 0.062 x 2,624 = $162.69

Medicare : 1.45 or 0.0145 x 2,624 = $38.05

Now that we have our Social Security and Medicare, we can then solve for our taxes.

Taxes: $53 + $101.35 = 154.35 x 2 = $308.7

Now we can add our monthly expenses to the other expenses.

Monthly Expenses : $1,150.12

1,150.12 + 162.69 + 38.05 + 308.7

= $1659.56 Total Expenses.

Now that we have our total expenses we simply subtract it to our monthly salary.

2624.00-1659.56

= $964.44 Extra Money Monthly

Now we proceed to solve for how much more we need to make the total payment.

23000 - 15,333.33

= 7666.67

Now that we have out total balance, we just need to divide the balance to our extra money monthly.

7666.67 / 964.44

= 7.949 Months or 8 Months

6 0
3 years ago
A train traveled 210 miles in 3.5 hours to its first stop. It then continued on traveling another 130 miles in 2.5 hours. What w
valkas [14]
T = 6 [h]
s = 340 [mi]

v=s/t=340/6=56.7 [mi/h]
Answer C.
8 0
3 years ago
Need help ASAP
joja [24]

Part (1) : The solution is 729

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is 3^{2} \cdot3^{4}

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$, we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

3^{2} \cdot3^{4}=3^6=729

Thus, the simplified value of the expression is 729

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

\frac{1}{2^4x^8}

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$, we have,

\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}

Adding the powers, we get,

\frac{2x^{2}y^{-1}z^{-7}}{3}

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$, we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0
3 years ago
Factor:<br> 4b2 - 12b + 9
Vikentia [17]

Answer:

  (2b-3)²

Step-by-step explanation:

The square of a binomial is ...

  (p - q)² = p² - 2pq + q²

The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.

For p² = 4b², p=2b.

For q² = 9, q = 3.

Then 2pq = 2(2b)(3) = 12b.

So, the factoring is ...

  4b² -12b +9 = (2b -3)²

5 0
3 years ago
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