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olchik [2.2K]
3 years ago
7

Which first step for solving the given system using substitution results in an equation without fractions?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
The correct answer is solve for y in the second equation.

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
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Solve the inequality (2x-4) + 110 ≤ 120
miskamm [114]

Answer:

x ≤  7

Step-by-step explanation:

(2x-4) + 110 ≤ 120

Combine like terms

2x +106 ≤ 120

Subtract 106 from each side

2x+106 -106 ≤ 120-106

2x ≤  14

Divide each side by 2

2x/2 ≤  14/2

x ≤  7

8 0
3 years ago
Divide and simplify 5/12÷20/36
gregori [183]
Hello there! The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 5/12 remains the same, division becoems multiplication, and 20/36 flips over to become 36/20. So the expression becomes this:

5/12 * 36/20

Now, we multiply straight across. 5 * 36 is 180. 12 * 20 is 240. 180/240 is 3/4 in simplest form. There. The quotient is 3/4.
3 0
3 years ago
Do the values in the table represent a proportional relationship? HELP ASAP!!!!
aliya0001 [1]
Do the values in the table represent a proportional relationship? HELP ASAP!!!!
x 1 2 3 4
y 2.5 5 7.5 10


Select from the drop-down menu to correctly complete the statement.
All of the y-values HAVE
a constant multiple of ☆☆2.5☆☆☆ to the corresponding x-values, so the relationship PROPORTIONAL
8 0
2 years ago
Read 2 more answers
Need help on this as soon as possibke
miss Akunina [59]
LA = perimeter of base x height

Use Pythagorean theorem to find the base

4^2 + 6^2 = 52
Sq root of 52 is 7.2111...

4+6+7.2 = 17.2

17.2 x 8

137.6 is your answer






3 0
3 years ago
With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

6 0
3 years ago
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