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mash [69]
3 years ago
9

Please answer question 10

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

Step-by-step explanation:

1) First, we figure out the number of blue and green marbles (27 each)

2) Subtract the 6 blue and 3 green marbles. We now have 21 blue marbles and 24 green marbles.

3) Since we want to have more blue marbles while taking out the <em>minimum</em> number of green, we're going to take out green marbles out until there's one less than blue. Because there's 21 blue, we want 20 green. We've taken out 4/13 marbles so far.

4) Now, we're going to take 1 marble out of both the greens and blues until we have 17 blue and 16 green. We've now taken out 12/13 marbles. We can't make the 13th marble a blue one, otherwise we even them out, so we'll take another green. Now we have 17 blue and 15 green.

5) Count the number of greens you've taken out, and voila!

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Solve the equation 15p2 + 7p − 4 = 0 by completing the square.
natulia [17]

Answer:

p=0 or p=-7/15

Step-by-step explanation:

15p2+7p=0

p(15p+7)=0

p=0 or 15p+7=0

4 0
2 years ago
A guy wire supports an antenna tower, as shown at the right. The bottom of the wire is secured in the ground 30 feet from the ba
babunello [35]

Answer:

The wire is approximately 42feet long

Step-by-step explanation:

We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.

The hypotenuse side is the length of the wire we are looking for.

Parameters are given as:

Opposite : 30ft

Adjacent: 30ft

Hypotenuse: x feet

The hypotenuse = \sqrt{opp^2 + adj^2}

Hypotenuse =\sqrt{30^2+ 30^2} \approx 42ft

5 0
4 years ago
What are the x and y-intercepts of the line described by the equation?
KiRa [710]

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

<em>Substitute y for 0.</em>

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

<em>Substitute x for 0.</em>

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

6 0
3 years ago
The symbol dg stands for
sergey [27]
Dg stands for "differential geometry"

hope this helps
4 0
3 years ago
Read 2 more answers
There are 6 gallons in a tank that is 20% full. How many gallons are in a full tank? Use a double number line to show your work.
Alex17521 [72]

Answer: 30 gallons

Step-by-step explanation:

Let the number of gallons that are in a full tank be represented by x.

Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:

20% × x = 6

20/100 × x = 6

0.2 × x = 6

0.2x = 6

x = 6/0.2

x = 30

There are 30 gallons in a full tank

3 0
3 years ago
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