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3 years ago

In a group of 25 students, 16 are female. What percentage of the group is female?

Mathematics

2 answers:

Sophie [7]3 years ago

8 0

We know quantity of girls. It's 16.
So the <span>percentage will be 16/25*100%=64%</span>

asambeis [7]3 years ago

3 0

Percent is out of 100, and 25*4=100. So multiply 16*4=64, so the answer is 64%

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Bradley is purchasing a new car for 37000. If the car loses 20%of its value every year, how much will the car be worth in 7 year

spayn [35]

ANSWER

After 7 years the car will worth, 7,759.5

EXPLANATION

The initial value of the car is 37000.

The rate of depreciation is 20%

In 7 years time, we can calculate the value of the car using the formula,

$A=P(1-r\%)^n$

We substitute the values into the formula to obtain,

$A=37000(1-0.2)^7$

$A=37000(0.88)^7$

$A=7759.5$ to the nearest tenth

6 0

2 years ago

Any 10th grader solve it <br>for 50 points

kkurt [141]

Answer:

$\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)\neq 0$ is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.

Step-by-step explanation:

Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.

First term of given arithmetic progression is A

and common difference is D

ie., $a_{1}=A$ and common difference=D

The nth term can be written as

$a_{n}=A+(n-1)D$

pth term of given arithmetic progression is a

$a_{p}=A+(p-1)D=a$

qth term of given arithmetic progression is b

$a_{q}=A+(q-1)D=b$ and

rth term of given arithmetic progression is c

$a_{r}=A+(r-1)D=c$

We have to prove that

$\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)=0$

Now to prove LHS=RHS

Now take LHS

$\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)$

$=\frac{A+(p-1)D}{p}\times (q-r)+\frac{A+(q-1)D}{q}\times (r-p)+\frac{A+(r-1)D}{r}\times (p-q)$

$=\frac{A+pD-D}{p}\times (q-r)+\frac{A+qD-D}{q}\times (r-p)+\frac{A+rD-D}{r}\times (p-q)$

$=\frac{Aq+pqD-Dq-Ar-prD+rD}{p}+\frac{Ar+rqD-Dr-Ap-pqD+pD}{q}+\frac{Ap+prD-Dp-Aq-qrD+qD}{r}$

$=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}$

$=\frac{Arq^{2}+pq^{2} rD-Dq^{2} r-Aqr^{2}-pqr^{2} D+qr^{2} D+Apr^{2}+pr^{2} qD-pDr^{2} -Ap^{2}r-p^{2} rqD+p^{2} rD+Ap^{2} q+p^{2} qrD-Dp^{2} q-Aq^{2} p-q^{2} prD+q^{2}pD}{pqr}$

$=\frac{Arq^{2}-Dq^{2}r-Aqr^{2}+qr^{2}D+Apr^{2}-pDr^{2}-Ap^{2}r+p^{2}rD+Ap^{2}q-Dp^{2}q-Aq^{2}p+q^{2}pD}{pqr}$

$=\frac{Arq^{2}-Dq^{2}r-Aqr^{2}+qr^{2}D+Apr^{2} -pDr^{2}-Ap^{2}r+p^{2}rD+Ap^{2}q-Dp^{2}q-Aq^{2}p+q^{2}pD}{pqr}$

$\neq 0$

ie., $RHS\neq 0$

Therefore $LHS\neq RHS$

ie., $\frac{a}{p}\times (q-r)+\frac{b}{q}\times (r-p)+\frac{c}{r}\times (p-q)\neq 0$

Hence proved

5 0

2 years ago

Find the measure of angle A

AVprozaik [17]

Answer: The answer is 35 degrees

5 0

3 years ago

use the given conditions to write an equation for the line in point slope form passing through (-5,7) and (-8,6)

KengaRu [80]

Point slope form is
y-y1=m(x-x1)
where slope=m
and (x1,y1) is a given point

slope=(y2-y1)/(x2-x1)
slope=(6-7)/(-8-(-5))=-1/(-8+5)=-1/-3=1/3

pick any point
(x,y)
(-5,7)

y-7=1/3(x+5) or
y-6=1/3(x+8)

5 0

2 years ago

Simplify 9 to the power of 2 over 9 to the power of 7

coldgirl [10]

Answer:heya

Step-by-step explanation:

it is in the form... a raise to the power n / a raise to the power m = a raise to the power n-m..........

so 9 raise to the power 2/9 raise to the power 7= 9 raise to the power(2-7)

=9 raise to the power -5

=1/9 raise to the power 5

hope it helps

6 0

3 years ago