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son4ous [18]
1 year ago
9

julie jot 21 of the 23 questions of her math test correct she got 29 of the 32 questions on her science test correct on which te

st did she get a highet score on?can you compare the fractions 21/23 and 29/32 by comparing 29 and 21? explain.how can julie compare her scores
Mathematics
2 answers:
Alenkasestr [34]1 year ago
5 0
Make\ a\ common\ denominator:\\\\\frac{21}{23}\ \ \ \ \ \ \ \ \frac{29}{32}\\\\\frac{21\cdot32}{23\cdot32}\ \ \ \ \ \ \ \frac{29\cdot23}{32\cdot23}\\\\\frac{672}{736}\ \ \ > \ \ \ \frac{667}{736}
lawyer [7]1 year ago
3 0
Julie received a higher grade on her math test. 

21/23=91%
got 2 answers incorrect 

29/32=90%
got 3 answers incorrect  
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A karate center has 120 students. The director wants to set a goal to motivate her instructors to increase student enrollment. U
iVinArrow [24]
A) Plan A requires for a percentage increase of a number of students. This means that year after year the number of new students will increase. Plan B requires for a constant number of new students each year. This means that year after year the percentage increase would get smaller.

B) To solve this problem we will use formula for a growth of population:
final = initial * (1+percentage)^{t}
Where:
final = final number of students
initial = initial number of students
percentage = requested percentage increase
t = number of years

We can insert numbers and solve for t:
240= 120* (1+0.12)^{t}  \\ 2=1.12^{t}   \\ log2=log(1.12^{t} ) \\ log2=t*log1.12 \\ t= \frac{log2}{log1.12}  \\ t=6.12years

For Plan B we can use simple formula
increase = 120
increase per year = 20
number of years = increase / (increase per year) = 120 / 20 = 6 years

Plan B is better to double the <span>enrollment.


C)We use same steps as in B) to solve this.
</span>

360= 120* (1+0.12)^{t} \\ 3=1.12^{t} \\ log3=log(1.12^{t} ) \\ log3=t*log1.12 \\ t= \frac{log3}{log1.12} \\ t=9.69years

For Plan B we can use simple formula
increase = 240
increase per year = 20
number of years = increase / (increase per year) = 240 / 20 = 12 years

Plan A is better to triple the enrollment.
3 0
2 years ago
The following graph shows the consumer price index (CPI) for a fictional country from 1990 to 2000.For which of these time perio
KatRina [158]

Answer:

Option B. 1990 - 1992

Step-by-step explanation:

If we have to calculate inflation rate in year 2000 from 1990, we use the formula

inflation=\frac{C.P.I. 2000-C.P.I. 1990}{C.P.I 1990}\times 100

which means if consumer price index is increasing year by year the inflation rate will increase.

Now we analyse our options given with the help of graph given.

A. from 1994 - 2000

Consumer price index increased from year 1994 to 1998 but decreased between 1998 to 2000.

So this option doesn't show the continuous inflation.

B. Year 1990 - 1992

We find a continuous increase in C.P.I. therefore there will be a continuous increase in inflation.

So this option is correct.

C. Year 1992 - 1996

In this gap we see deflation from year 1992 to 1994 then inflation between 1994 - 1996.

So there is ups and downs in this period showing discontinuity in inflation.

D. 1992 - 1994

There is continuous decrease in C.P.I. so continuous deflation is reported between this period.

It's not the correct option.

Answer is Option B.

4 0
2 years ago
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
kondor19780726 [428]

Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given : Number of available vegetables = 6

Then, the number of different combinations of 2 vegetables are possible will be :

^6C_2=\dfrac{6!}{2!(6-2)!}=\dfrac{6\times5\times4!}{2\times4!}=15

Hence , the number of different combinations of 2 vegetables are possible = 15 .

5 0
1 year ago
Solution to the inequality 16x−33x&lt;37x+27.
astra-53 [7]

<em><u>The solution to the inequality is:</u></em>

x>\frac{-1}{2}

<em><u>Solution:</u></em>

Given inequality is:

16x-33x

We have to find the solution to given inequality

\mathrm{Add\:similar\:elements:}\:16x-33x=-17x

-17x

\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}

-17x-37x

Simplify the above inequality

-54x

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27

\mathrm{Divide\:both\:sides\:by\:}54

\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}

Thus the solution to inequality is found

3 0
2 years ago
The following table shows the salary of 7 people in an office last year.
kotegsom [21]

Answer:

a.  £24,714.29

b. £16,833.33

Step-by-step explanation:

The calculation of mean income is given below:-

Mean income = Total addition of salaries ÷ Number of workers

= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000

= £173,000 ÷ 7

= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

= £101,000 ÷ 6

= £16,833.33

7 0
1 year ago
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