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2 years ago

determine the mean of the numbers 7, 5, 5, 2, 8 and 7. if two additional numbers 2 and x, reduce the mean by 1, find x

1 answer:

4 0

(7 + 5 + 5 + 2 + 8 + 7) / 6 = 34/6 = 5.67

(34 + 2 + x) / 8 = 5.67 - 1
(36 + x) / 8 = 4.67
36 + x = 4.67 * 8
36 + x = 37.36
x = 37.36 - 36
x = 1.36

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Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards o

aksik [14]

Answer:

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

Step-by-step explanation:

Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?

Representing the above expression Mathematically

3/4 yard = 1 scarf

1 4/5 yards of fabric = x

Cross Multiply

3/4x = 1 4/5 × 1

x = 9/5/ 3/4

x = 9/5 ÷ 3/4

x = 9/5 × 4/3

x = 12/5 scarves

x = 2 2/5 scarves

Hence, the correct option is :

Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5

6 0

2 years ago

Read 2 more answers

What are the steps to this

Mice21 [21]

If f(0) = -2 that means, when you put zero instead of x in the f(x) equation, it gives -2 as answer. m is given as 2/3. So,
f(x) = mx + b
f(0) = 2/3 * 0 + b = -2 then b = -2
Then you can write the general function as ;
f(x) = 2/3*m -2

And same steps for question 25;
m is given as -1/3

f(9) = -1/3 * 9 + b = 2 then b must be 5
Then the general form of the function;
f(x) = -1/3*m +5

4 0

2 years ago

Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic

Charra [1.4K]

Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = $137*67013$

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = $25 * 71332$

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = $9180781+1783300$

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = $137 + 25 = 162$

So, the average salary of employee across the company = $\frac{10964081}{162}$

So, the average salary of employee across the company = 67679.5

Rounding off,

So, the average salary of employee across the company = $ 67680 : Answer

Hope it will help :)

7 0

2 years ago

Read 2 more answers

The formula v =bh means that the volume of a prism is equal to its base area times its height. Solve v= bh for b

svetlana [45]

Solve for b means isolate b:

V = bh
V/h = b

Answer:
b = V/h

7 0

2 years ago

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Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago