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alukav5142 [94]
3 years ago
8

Hannah and Anthony are siblings who have ages that are consecutive odd integers the sum of their ages is 92 which equation could

be used to find Hannas age age if she is the older sibling
Mathematics
1 answer:
NISA [10]3 years ago
6 0
Let x be the age of the youngest sibling (Anthony) 

Then: 
x+(x+2)=92 
2x+2=92 
2x=90
x=45 

Therefore, the age of Anthony is 45, his sister's age of 47. 

Hope I helped :)
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What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125
kykrilka [37]
Since the sequence is geometric, there is some constant r such that the sequence is recursively given by

a_n=ra_{n-1}

By this definition, you can recursively substitute into the right hand side the definition for a_{n-1},a_{n-2},\ldots to find an explicit formula for the nth term.

a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}

You know the second term, which means you can find r:

a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15

So, the 7th term of the sequence is

a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}
8 0
3 years ago
b. You have saved $15,000 for a down payment. What is the max you can spend (max house price)? (4 points)
In-s [12.5K]

Answer:

maybe like 5k

Step-by-step explanation:

6 0
3 years ago
Amy wants to carpet a room that is 12 feet by 8 feet.
Alex17521 [72]
1\ ft=0.333\ yards\\8\ ft=8\cdot0.333=2.664\ yards\\12\ ft=12\cdot0.333=3.996\ yards\\\\2.664\cdot3.996=10.645\ square\ yards\\\\She\ need\ 10.645\ square\ yards\ of\ carpet.
4 0
4 years ago
Josh went to applebee and enjoyed a delicious steak. He enjoyed his server and wanted to give an extra special tip. Usually josh
Sonbull [250]

Answer:

Josh's total bill is $ 27.825

Step-by-step explanation:

Given:

The subtotal of the Josh Bill =   $21.00

<u>Finding the usual amount Josh gave as Tip To his sever:</u>

Usually josh tips 20% to all servers

So Tip = 20% of his subtotal

=> 20\% \times 21

=>\frac{20}{100} \times 21

=>0.2 \times 21

=>4.2

So Josh usually tips $4.2 to his server

<u>Finding the amount Josh gave 25%</u><u> </u><u>as Tip To his sever:</u>

But now he tips 25% which is

=> 25% of 21

=> \frac{25}{100} \times 21

=> 0.25 \times 21

=> 5.25

Thus the tip amount will be $5.25

So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip

<u>Finding the total bill</u>

The total bill  = subtotal+ 7.5% sales tax +  25% tip

=> 21 + 7.5 % of 21 + 25% of 21

=> 21 + \frac{75}{100} \times 21 +  \frac{25}{100} \times 21

=>21 +0.075 \times 21 +  0.25 \times 21

=> 21 +1.575 +5.25

=>27.825

3 0
3 years ago
PLEASE HELP ME I WILL GIVE YOU POINTS
Brilliant_brown [7]

Answer:I got 18.28

Step-by-step explanation:

so for getting the perimeter, you only need the outer line, so you sum the measurements you have for the rectangle: 1+2+2+7= 12. After that you need the circumference of the circle, you can figure it out by using the formula C = 2pi(r) You can find the radius by substracting the known sides of the rectangle attached to the circle from the bottom base and then dividing it in 2, leaving us with a radius of 2. Then we input values; C=2pi(2) which equals 4pi, but we need to divide that in half since it’s only half a circle. That leaves us with 2pi, or 6.28. Then we add the perimeter of the square, which was 12, and 6.28+12= 18.28

4 0
2 years ago
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