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Damm [24]
3 years ago
9

3x-7y=14

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

A. \frac{3}{7}

Step-by-step explanation:

The given equation is

3x-7y=14

We solve for y by  subtracting 3x from both sides to obtain;

-7y=14-3x

We now divide through by -7 to get;

y=\frac{-3}{-7}x+\frac{14}{-7}

This simplifies to;

y=\frac{3}{7}x-2

This equation is now in the form y=mx +c, where m=\frac{3}{7} is the slope.

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A rectangle’s base is 6 cm longer than its height. The rectangle’s area is 135 cm2. Find this rectangle’s dimensions. You must i
il63 [147K]

Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

The height can't be a negative number so the height is 9

Length =  9 +6 = 15

Height = 9cm, Length = 15 cm

6 0
3 years ago
Last year, Liz gave 90 piano performances. This year, she gave 126 piano performances. What is the percent of increase in the an
Rashid [163]

Answer:

40%

Step by step explanation is given above

6 0
2 years ago
The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
A coin is tossed three times. what is the probability of getting two heads and one tail?
Lera25 [3.4K]
If the order doesn't matter, then the probability is 37.5%
If it has to be head head tail, then the probability is 12.5%

If the order doesn't matter, the possible outcomes that have two heads and one tail are HHT, HTH, and THH. Since these all have a probability of 12.5% of occuring, the probability of any of them occuring is 37.5%
7 0
3 years ago
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A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases every hour at a constant rate of
WITCHER [35]

Answer:

f(x) = 50(0.60)x; 18 mg

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2 years ago
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