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2 years ago

Whole number between 9 4/9 and square root of 144

Mathematics

2 answers:

Ksju [112]2 years ago

5 0

Answer:

Whole number between $9\frac{4}{9}$ and $\sqrt{144}$ are 10 and 11.

Step-by-step explanation:

To find : Whole number between $9\frac{4}{9}$ and $\sqrt{144}$ ?

Solution :

Writing numbers into simpler forms,

$9\frac{4}{9}=\frac{85}{9}\approx 9.44..$

$\sqrt{144}=12$

So, The number between 9.44.. and 12.

i.e. $9.44..$

Whole number is defined as a number without fractions or decimal.

Between 9 and 12 the whole numbers are 10 and 11.

Therefore, Whole number between $9\frac{4}{9}$ and $\sqrt{144}$ are 10 and 11.

vagabundo [1.1K]2 years ago

4 0

The answer is 10 and 11

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A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen

Sergeu [11.5K]

Answer: Cost of each hot dog and bratwursts would be $1.1 and $1.35 each.

Step-by-step explanation:

Since we have given that

Cost of each dozen hot dogs be 'x'.

Cost of each dozen bratwursts be 'y'.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $316.20.

So, the equation would be

$8x+13y=\$316.20$

.The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $375.00.

So, the equation would be

$10x+15y=\$375.00\\\\2x+3y=\$75$

So, the equations becomes

$8x+13y=316.20--------------(2)\\\\(2x+3y=75)\times 4\\\\\implies 8x+12y=300------------(1)$

So, by elimination method, we get that

$8x+13y=316.20\\\\(-)8x+(-)12y=(-)300\\\\--------------\\y=\$16.20$

Put the value of y in the eq(1), we get that

$2x+3y=75\\\\2x+3(16.20)=75\\\\2x+48.6=75\\\\2x=75-48.60\\\\2x=26.4\\\\x=\dfrac{26.4}{2}\\\\x=\$13.2$

Hence, the cost of hot dogs would be $\dfrac{13.2}{12}=\$1.1$

And the cost of bratwursts would be $\dfrac{16.2}{12}=\$1.35$

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2 years ago

An excavating company charges $300 an hour for the use of a backhoe and $500 an hour for the use of a bulldozer. (part of an hou

Fed [463]

We have that

Cost use of a backhoe----------------------$300 an hour

Estimate for equipment rental each week---------------------$18,400

Total hours operator per week--------------------------------------40

40*300=$12000---------------------it is the cost per week to use a backhoe

$12000<$18400 is ok

The maximum of hours that I can rent a backhoe are 40 hours, since it is the limit of the operator and it do not overcome the total budget

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2 years ago

Rui is a professional deep water free diver.

Vladimir [108]

The correct question is
Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola)
so
the lowest altitude (depth) is the vertex

using a graph tool
see the attached figure

the vertex is the point (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
the lowest altitude is 50 meters under the sea level

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2 years ago

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Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a

Ira Lisetskai [31]

Answer:

0.1x+0.15(50-x)= 50*0.12

Step-by-step explanation:

50 ml of 12% solution has 50*0.12 ml of alcohol

x ml of 10% solution has x*0.1 ml of alcohol

(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol

The equation to solve is:

0.1x+0.15(50-x)= 50*0.12

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2 years ago

If Patricia drives at two-third of her usual speed, she covers a certain distance in one hour more than the time she takes while

zalisa [80]

Let r = usual driving rate
let t = usual driving time
We need to figure out t

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The distance she covers in her new time at her new rate is:
(1+t)*((2/3)r)

Set this equal to each other and solve for t.

rt = (2/3)r + (2/3)rt
(1/3)rt = (2/3)r
(1/3)t = (2/3)
t = 2

So her usual time is 2 hours. (There's probably a faster way to do this)

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2 years ago