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2 years ago

a 15 foot building casts a 9 foot shadow. How tall is the building that casts a 30 ft shadow at the same time

1 answer:

4 0

9 + 9 = 18 + 9 = 27. 1/3 of 9 is 3 27 + 3 = 30
15 x 3 = 45. 1/3 of 15 is 5. So, 45 + 5 = 50.
The building is 50 feet tall.
Hoped this helped! :)

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The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

kotykmax [81]

Answer: Last one is right C = 5 / 9 (F-32)

Step-by-step explanation: Solving C from equation F = (9/5)C + 32 :

1. multiply by 5 you get 5F = 9C + 160 and 5(F-32) = 9C

2. divide by 9 you get (5/9) (F-32) = C

8 0

2 years ago

Garica family bought 9 bags of cookies each bag had 15 cookies they have eaten 27 of the cookies how many cookies do they have l

vova2212 [387]

108 because 9 x 15 is 135 then 135- 27 is 108

3 0

3 years ago

In Smallille, 2,400 out of 20,000 workers are unemployed.In Bigtown, 6,750 out of 75,000 workers are unemployed. Which town has

viktelen [127]

2400/20000 = 0.12;
6750/75000 = 0.09;
Because 0.12 > 0.09, Smallille has a larger unemployed problems than Bigtown.

4 0

2 years ago

Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to

NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0

2 years ago

Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ab

zhenek [66]

Answer:

test statistic is ≈ -0.36

p-value is ≈ 0.64

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

Step-by-step explanation:

a hypothesis test where H_0: mu = 235 and H_1:mu > 235

test statistic can be calculated as follows:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

sample mean driving distance (233.8 yards)

M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)

s is the standard deviation (46.6 yards)

N is the sample size (192)

Then test statistic is z= $\frac{233.8-235}{\frac{46.6}{\sqrt{192} } }$ =-0.3568

p-value is 0.64 >0.05

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

6 0

3 years ago