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Bond [772]
3 years ago
15

Reba measured a house and its lot and made a scale drawing. She used the scale 9 inches = 7 feet. What is the scale factor of th

e drawing?
Simplify your answer and write it as a ratio, using a colon.
Mathematics
1 answer:
Otrada [13]3 years ago
4 0

The scale factor of the Reba's drawing is 9/84, 3/28

Step-by-step explanation:

The scale factor is the ratio between the two corresponding sides of the figure. The point worth noting in computing the scale factor is that both sides must have similar units of dimension while using for comparison purpose.

Given the scale used by Reba is 9 inches to 7 feet

Since both the units are different, we have the option to either convert inches to feet or vice versa

We proceed with converting feet to inches

We know that 1 foot equals to 12 inches. Hence 7 feet would equal 84 inches.

Now scale factor= first dimension/ corresponding dimension

Scale factor= 9/84 which can be reduced to 3/28

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Norma had 3/8 left over from her party .She ate 3/4 of the leftover cake at lunch how much of the cake did Norma have at lunch
sergejj [24]

Answer:

Norma ate \frac{9}{32} of the leftover cake at her lunch.

Step-by-step explanation:

Norma had a leftover cake from her party = \frac{3}{8}

She ate \frac{3}{4}th of the leftover cake at the lunch.

Therefore, amount of cake she had at lunch = \frac{3}{8}\times \frac{3}{4}

                                                                          = \frac{9}{32} of the leftover cake

Norma ate \frac{9}{32} of the leftover cake at her lunch.

4 0
3 years ago
What part of 35 is 7?
lisov135 [29]
The part of 35 that is 7 is 5
3 0
3 years ago
Read 2 more answers
Suppose that any given year, the value of a certain investment is increased by 15%. If the value is now $15,000, in how many yea
Yanka [14]
The answer is 2.5 years.

The compound interest formula is:
A = P(1 + r/n)ⁿˣ
A - the final value
P - the initial value
r - the interest rate
n - the number of times interest is compounded by year
t - the numbers of years of investment

We have:
A = $21,000
P = $15,000
r = 15% = 15/100 = 0.15
n = 1       (since this is per year)
t = ?

So:
21000 = 15000(1 + 0.15/1) ^{1*t} \\ 21000=15000(1+0.15) ^{t} \\ 21000 = 15000 * 1.15 ^{t} \\ 1.15 ^{t}=21000/15000 \\ 1.15 ^{t}=1.4

Now, logarithm both sides of the equation:
log(1.15 ^{t})=log(1.4)

Since log (x^{a}) =a*log(x), then log (1.15^{t}) =t*log(1.15)
Therefore:
t*log(1.15)=log(1.4) \\ 
t =  \frac{log(1.4)}{log(1.15)}  \\ 
t =  \frac{0.15}{0.06}  \\ 
t = 2.5
6 0
4 years ago
AT a groyrey store salted peanuts in a shell cost 30 cents per ounce is 5$ enough money to buy 1 pound of peanuts if it is what
Ronch [10]
1 shell of slated peanuts = 30 cents of dollar/Ounce = $0.3/Ounce

Money available = $5
Required purchase = 1 pound of slated peanuts = 16 ounces of peanuts

Given the cost per ounce,

16 ounces pf peanuts = 0.3*16 = $4.8

Balance = $5-$4.8 = $0.2 = 20 cents

There, $5 can buy 1 pound of peanuts will a balance of 20 cents.
5 0
4 years ago
I NEED THIS ANSWER ASAP!!!
IgorC [24]
Let "x" represent the number of units
5x = the number of tomato plants in Inessa's garden
6x = the number of tomato plants in Ralph's garden

the question says that half (1/2 x (5x)) of Inessa's tomato plants are taken from her garden and put into Ralph's garden
this means that Ralph has a total of 850 tomato plants in his garden

using all of this information, we get the following (which we have to solve):
(1/2)(5x) + 6x = 850

when we solve for "x", we find that:
"x" = 100

so, going back to the original statement, if Ralph started out with (6x) tomato plants, and "x" = 100, we have to multiply 6 by 100

doing so gives us our final answer:
Ralph had 600 tomato plants in the beginning
5 0
3 years ago
Read 2 more answers
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