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Neporo4naja [7]
4 years ago
12

If 10a+10b=35, what is the average (arithmetic mean) of a and b?

Mathematics
1 answer:
worty [1.4K]4 years ago
6 0

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

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Answer:

Wheres the question

Step-by-step explanation:

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3 years ago
Smoothie Stand at Utah’s Wasatch County’s Demolition Derby sells bananas. If John bought 55 lbs. of bananas at $.24 per pound ex
AlladinOne [14]
I'm assuming the 59% achievement means, markup, so hmmmm well, if the bananas cost him $0.24 or 24cents per pound, so a markup of 59% is just 59% of 0.24 then.

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6 0
3 years ago
Read 2 more answers
7. A person has $10,100 to invest in two different stock. Stock ABC costs $32 per share and pays dividends of $1.20 per share. S
Vesna [10]

Answer:

invested in ABC = $3200

Step-by-step explanation:

given data

total invest = $10,100

Stock ABC costs = $32 per share

dividends = $1.20 per share

Stock XYZ costs = $23 per share

dividends = $1.40 per share

earn a total dividends = $540

solution

we can say total money invest express as

total money invested = 32 × P + 23 × Q

here person buys stocks of ABC is P and buys stocks of stocks of XYZ is Q

$10,100 = 32 × P + 23 × Q  

we can also write this as by multiply 3 both side

$30,300 = 96 × P + 69 × Q  ......................1

and total dividends will be

total dividends =  1.2 × P +1.4 × Q

$540 =  1.2 × P +1.4 × Q

we can also write this as by multiply 80 both side

$43200 = 96 × P + 112 × Q  ....................2

so from equation 1 and 2 , subtracting 1 from 2

we get

Q = 300

and P = 100

so that we invest 100 × 32

invested in ABC = $3200

6 0
3 years ago
I need a bit of help here.
kotykmax [81]

Answer:

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Step-by-step explanation:

The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

3 0
3 years ago
Consider the function. f(x)= -2/3x-24 Which conclusions can be drawn about f–1(x)? Select two options. f–1(x) has a slope of -2/
disa [49]

Answer:

(D) f^{-1}{(x$) has an x-intercept of (-36, 0).

(E)f^{-1}{(x) has a range of all real numbers.

Step-by-step explanation:

Given the function: f(x)= -\dfrac23x-24

f(x)+24= -\dfrac23x\\$Multiply both sides by $  -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36

When y=f(x)=0

f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36

Therefore, f^{-1}(x)$ has a x-intercept of -36

Also, f^{-1}(x) has a range of all real numbers.

Therefore, Options D and E are correct.

5 0
3 years ago
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