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Arturiano [62]
3 years ago
7

A building with a height of 40 meters casts a shadow that is 35 meters long. A statue next to the building casts a shadow that i

s 7 meters long. How tall ls the statue ?
Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

9514 1404 393

Answer:

  8 meters

Step-by-step explanation:

The height of the object and its shadow length are presumed to be proportional.

  object height/shadow length = S/7= 40/35

Multiplying by 7 gives ...

  S = 7(40/35) = 8

The statue is 8 meters tall.

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Julie has 5 cherry lollipops,1 lime lollipops, and 2 grape lollipops in a bag. She is going to select one lollipop, replace the
Georgia [21]

Answer: \dfrac{15}{32}

Step-by-step explanation:

Given : The number of cherry lollipop = 5

The total number of lollipop = 8

the number of lollipops other than grape =6

The probability of selecting a cherry lollipop is given by :_

\text{P(Cherry)}=\dfrac{5}{8}

The probability of selecting a lollipop other than grape is given by :_

\text{P(Other than grape)}=\dfrac{6}{8}

Since, there is replacement , then the events are independent of each other.

Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

\text{P(Cherry and other than grape)}=\dfrac{5}{8}\times\dfrac{6}{8}=\dfrac{15}{32}

Hence, the required probability =\dfrac{15}{32}

3 0
3 years ago
North Carolina has 12 less electoral votes than Florida. Write & solve a subtraction equation to find the number of electora
matrenka [14]

Answer: There are 27 votes for Florida.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The number of votes of North Carolina (15) must be equal to the number of votes of Florida (x) minus 12.

Mathematically speaking:

15 = x -12

Solving for x:

15+12 = x

27 = x

There are 27 votes for Florida.

Feel free to ask for more if needed or if you did not understand something.  

7 0
3 years ago
The Reyes want grilled chicken and tilapia for dinner. Mrs.
seropon [69]

Answer:

Kilogram of chicken = 1

Kilogram of tilapia = 3

Step-by-step explanation:

Cost of chicken = 150 per kilo

Cost of tilapia = 100 per kilo

Number of kilos of each if total cost should not exceed 450

Let :

Number of kilo of chicken = x

Number of tilapia kilo = y

The constraint :

150x + 100y ≤ 450

We could choose some reasonable values of x and y then, test the constraint ;

If x = 1 and y = 3

150(1) + 100(3) = 450

Hence,

1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.

6 0
3 years ago
4 x 5 - (2² - 2) =? <br> (18 ÷ 3) + (3² - 7) =?
OverLord2011 [107]
4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8
7 0
3 years ago
If Elizabeth skates 2/3 mile in 2/9 hour how far does she skate in 1 hour?
padilas [110]

Answer:

3 miles in a hour

Step-by-step explanation:

2/3÷2/9

=6/2

=3 miles in a hour

8 0
3 years ago
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