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iren2701 [21]
3 years ago
8

The sum of two numbers is at least 30 and the difference between the two numbers is less than 8. X and y are the two numbers suc

h that x > y
​
Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:

1 Expert Answer

Let x and y be the two numbers. Then by assumptions we have x+y=30 and x-y=20. Hence, y=x-20 and by plugging this into the first equation we obtain x+x-20=30 or 2x=50 or x=25 and y=5

Step-by-step explanation:

So, divide 30 by 2 . That gives you 15 for x, 15 for y. Now, you have difference of six, divide by two, that equals 3.

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In a group of 60 students, 12 students take Algebra I, 18 students take Algebra II, and 8 students take both subjects. How many
vodomira [7]
Since 8 students take both, that leaves only 4 students who take Algebra I alone.
Likewise since 8 students take both, that leaves 10 who only take Algebra 2
So out of the 60, twenty two are taking either Alg I Alg Ii or both.

That leaves 38 people who are not taking either.
b. 38

You can set this up using a 2 circle venn diagram.  Just be sure to put the 8 who take both in first.

4 0
3 years ago
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Help answer please!!!!
MAVERICK [17]

Answer:

QR ≈ 16.2 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan62° = \frac{opposite}{adjacent} = \frac{QR}{RP} = \frac{QR}{8.6} ( multiply both sides by 8.6 )

8.6 × tan62° = QR , then

QR ≈ 16.2 ft ( to the nearest tenth )

5 0
3 years ago
17. The perimeter of rectangle RPQT is 134dm.
Rina8888 [55]

Answer:

\sf 1092 \: dm^2

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6 0
2 years ago
Help, don’t understand this problem.
Mila [183]

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 9 → (1)

x + 2y = 8 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is

- 3x - 6y = - 24 → (3)

Add (1) and (3) term by term to eliminate x

(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is

- 11y = - 33 ( divide both sides by - 11 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting in (2)

x + 2(3) = 8

x + 6 = 8 ( subtract 6 from both sides )

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8 0
2 years ago
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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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