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GREYUIT [131]
3 years ago
11

A tree casts a shadow 12 meters long , while a bush nearby casts a shadow 3.5 meters long. If the tree is 3.2 meters tall, how t

all is the bush?
Mathematics
1 answer:
Lynna [10]3 years ago
6 0
X = height of bush
12/3.5 = 3.2/x  [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m

The height of the bush is 0.93 meters. 
Best of luck. 
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lyudmila [28]

Answer:

12 2/3 km/hour or 12.666 km/hour

Step-by-step explanation:

Because 3 1/6 is the rate for every quarter hour, simply multiply that rate by 4 in order to get the average speed over the course of an hour.

6 0
2 years ago
HELP ME PLEASE!! I NEED HELP ASAP
jok3333 [9.3K]

Answer:

5

Step-by-step explanation:

5/25 = 1/5

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2 years ago
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A satellite is composed of 30 modular units, each of which is equipped with a set of sensors, some of which have been upgraded.
Marta_Voda [28]

Answer:

\dfrac{1}{7}

is the fraction of sensors upgraded per unit.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of upgraded sensors in one unit and y be the number of non-upgraded sensors in one unit.

Number of modular units = 30

Since some part of unit is upgraded and some are non-upgraded, then, we can write the equation:

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Number of non-upgraded sensors =

\dfrac{1}{5}\times \text{Total number of upgraded sensors on the entire satellite}

Thus, we can write the equation:

y = \dfrac{30x}{5}\\\\y = 6x\\1-x = 6x\\\\x = \dfrac{1}{7}

Fraction of sensors upgraded per unit =

\dfrac{1}{7}

3 0
2 years ago
She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a
Romashka-Z-Leto [24]

Answer:

x + (12x16) = 274

Step-by-step explanation:

each package = 12

16 packages

16x12= 192

x + 192 = 274

274-192=82

x =  82

6 0
2 years ago
How to get slope from standard form.
lidiya [134]

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

3x + 5y = 15 \\  - 3x  \:  \:  \:  \:   \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  - 3x

5y =  - 3x + 15

Now solve for y by dividing each term by 5.

\frac{5y}{5}  =  \frac{ - 3}{5} x +  \frac{15}{5}

Now simplify.

y =  \frac{ - 3}{5} x + 3

The slope is

-  \frac{3}{5}

5 0
2 years ago
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