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3 years ago

A kitchen assistant knocked over a cooling rack and spilled 12% of the cookies onto the floor Francesca had

Mathematics

1 answer:

Tcecarenko [31]3 years ago

4 0

300 cookies because 36/.12=300.

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I need help with my final, it’s my final grade

s2008m [1.1K]

Answer:

x=13

Step-by-step explanation:

14x-2=180

+2 +2

14x=182

/14 /14

x=13

6 0

3 years ago

I added the picture of the question.

Alex787 [66]

Answer:

A) 4

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 4

h = 2

Work:

A = 0.5bh

A = 0.5(4)(2)

A = 2(2)

A = 4

4 0

3 years ago

Read 2 more answers

Evaluate the sum of the following finite geometric series.

rjkz [21]

Answer:

$\large\boxed{\dfrac{156}{125}\approx1.2}$

Step-by-step explanation:

<h3>Method 1:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\\\\for\ n=1\\\\\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1\\\\for\ n=2\\\\\left(\dfrac{1}{5}\right)^{2-1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}\\\\for\ n=3\\\\\left(\dfrac{1}{5}\right)^{3-1}=\left(\dfrac{1}{5}\right)^2=\dfrac{1}{25}\\\\for\ n=4\\\\\left(\dfrac{1}{5}\right)^{4-1}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{125}$

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}=\dfrac{125}{125}+\dfrac{25}{125}+\dfrac{5}{125}+\dfrac{1}{125}=\dfrac{156}{125}$

<h3>Method 2:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\to a_n=\left(\dfrac{1}{5}\right)^{n-1}\\\\\text{The formula of a sum of terms of a geometric series:}\\\\S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\r-\text{common ratio}\to r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=\left(\dfrac{1}{5}\right)^{n+1-1}=\left(\dfrac{1}{5}\right)^n\\\\r=\dfrac{\left(\frac{1}{5}\right)^n}{\left(\frac{1}{5}\right)^{n-1}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=\left(\dfrac{1}{5}\right)^{n-(n-1)}=\left(\dfrac{1}{5}\right)^{n-n+1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}$

$a_1=\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1$

$\text{Substitute}\ a_1=1,\ n=4,\ r=\dfrac{1}{5}:\\\\S_4=1\cdot\dfrac{1-\left(\frac{1}{5}\right)^4}{1-\frac{1}{5}}=\dfrac{1-\frac{1}{625}}{\frac{4}{5}}=\dfrac{624}{625}\cdot\dfrac{5}{4}=\dfrac{156}{125}$

5 0

3 years ago

Select the correct answer. What is the solution to the equation?<br> *image below*

ahrayia [7]

Answer:

x = 10

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

8 0

3 years ago

If central right angle A intercepts BC, which measures 113, then right angle A measures

MaRussiya [10]

Arc's get their angle measurement from the central angle they're in.

so if the arcBC which is 113°, has a central angle of A, that simply means that her central angle is 113°.

5 0

3 years ago