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Amanda [17]
3 years ago
14

How many solutions does the system of equation have?

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0
We can determine the number of solutions from the slope intercept form of the equations.

Slope intercept form of equation 1 is:

y=- \frac{1}{4}x+3/4

Slope intercept form of second equation is:

y=- \frac{1}{4}x+ \frac{9}{12} \\  \\ 
y=  - \frac{1}{4}x+ \frac{3}{4}

The slope and the y-intercept of both equations are the same. This means, the two lines are lying over each other and hence they infinite number of solutions.

So, the correct answer is option C
miss Akunina [59]3 years ago
6 0
The equation no solution. This is because the lines are parallel.
The general equaltion of a line is,

Y=mX+c, where m is the gradient and c is the Y-intercept.

For the first equation,
<span>4x + 16y = 12
16y=-4x+12
y=(-1/4)x+12/16
gradient =-1/4</span>

For the second equation, Y = (-1/4)x +9/12,  the gradient = -1/4
 If the gradients are equation then, the lines do not meet hence no solutions.

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What is 20% off of 35
vodomira [7]
An easy way to find the precentage to to tuen the precentage to a decimal, in this case 20%=0.2, now multiply 35 by 0.2

35x0.2=7!

So 20% of 35 is 7$!

Another way to solve is to take 10% of 35, which you can find by just movig over the decimal (35-$3.50) now just add it together! 3.5+3.5=7$!!


Hope I helped!
6 0
4 years ago
Read 2 more answers
Explain how you would convert 1 meter to centimeters and kilometers.
Tema [17]

Answer:

1 meter to centimeters: 1 meter x 100

1 meter to kilometers: 1 meter ÷ 1,000

Step-by-step explanation:

3 0
3 years ago
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at
antiseptic1488 [7]

Answer:

W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90

3 0
3 years ago
The radius of a nitrogen atom is 5.6 × 10-11 meters, and the radius of a beryllium atom is 1.12 × 10-10 meters. Which atom has a
bazaltina [42]

Answer:

The beryllium atom; 1.99 times larger.

Step-by-step explanation:

The beryllium atom is 0.000000000112 meters, while the nitrogen atom is 0.000000000056 meters. So, the beryllium atom is larger than the other.

(1.12 * 10^-10) / (5.6 * 10^-11)

= (1.112 / 5.6) * (10^-10 + 11)

= 0.1985714286 * 10

= 1.985714286 * 10^0

So, the beryllium atom is about 1.99 times larger than the other.

Hope this helps!

7 0
4 years ago
The town's highway department marks a new world with reflective markers. The road is 6 3/4 miles in length. The markers are spac
Natali [406]

Total length of the road = 6 3/4 miles.

Each markers are spaced at a distance = 1/8 of a mile.

Number of markers could be represented by following division problem:

Total length of the road ÷ each marker space =

<h3>a) 6 3/4 ÷ 1/8.</h3>

b) In order to solve it, we need to convert that fraction into improper fraction:

6 3/4 = 27/4

6 3/4 ÷ 1/8 = 27/4 ÷ 1/8

We need to convert division sign into multiplication sign and flip the second fraction.

27/4 × 8/1

On simplifying, we get

27  × 2 = 54.

<h3>c) There would be total number of 54 markers of lengths (1/8) of a mile.</h3>
3 0
3 years ago
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