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3 years ago

Possible answers: A) 336cm B) 110m C) 588m D) 1,029m

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

$\huge\boxed{D)\ 1,029\ m^2}$

Step-by-step explanation:

$\begin{array}{ccc}4cm&\to&7m\\^{\times7}&&^{\times7}\\28cm&\to&49m\end{array}\\\\\\\begin{array}{ccc}4cm&\to&7m\\^{\times3}&&^{\times3}\\12cm&\to&21m\end{array}$

$\text{The formula of an area of a rectangle}\ l\times w:\\\\A=l\cdot w\\\\\text{Substitute}\ l=49m,\ w=21m\\\\A=(49)(21)=1,029\ m^2$

kozerog [31]3 years ago

5 0

Answer: The area of the enclosure is 1,029 square meters

Step-by-step explanation: The first thing is to use the unit of measurement required by the question, and to do this we need to convert what we have to what is required.

If the scale of the diagram is given as every 4cm represents 7m, that means, every unit of the actual measurement would be given as

(X/4) x 7

For the length of the enclosure, we can determine that as follows;

Length = (28/4) x 7

Length = 7 x 7

Length = 49m

And for the width,

Width = (12/4) x 7

Width = 3 x 7

Width = 21m

Therefore, the area is calculated as,

Area = L x W

Area = 49 x 21

Area = 1029 m²

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An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times th

Talja [164]

Answer:

Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075

Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:

$x + 100y \geq 1075$

Robbin's GMAT score was 800.

This means that $x = 800$ , and thus:

$x + 100y \geq 1075$

$800 + 100y \geq 1075$

$100y \geq 275$

What must her grade point average be in order to be unconditionally accepted into the program?

Solving the above inequality for y:

$100y \geq 275$

$y \geq \frac{275}{100}$

$y \geq 2.75$

Thus:

Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.

7 0

2 years ago

a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio

wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

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3 years ago

A barrel of oil was filled at a constant rate of 7.5 gal/min. the barrel had 10 gallons before filling began. write an equation

Xelga [282]

Assuming that :

- The number of the gallons is symbolized by g
- Time per minute is symbolized by t

the equation would be :

g = 10 + 7.5 t

Hope this helps

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3 years ago

Plz answer it all in order

igomit [66]

Answer:

1.0.667

2.3.5,0.12,0.680

3.0.2,0.40,0.112

4.2.5,0.57,1.222

5.1.2,0.75,0.071

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3 years ago

2. What is the domain of the following graph?

Gnoma [55]

Answer:

Step-by-step explanation:

The domain of this relation (not a function) is x = -5. The relation is not defined for any other x value.

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3 years ago

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