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Dmitry [639]
3 years ago
10

Question 1)Solve 8x + 3 = 3x + 18​

Mathematics
2 answers:
Dafna1 [17]3 years ago
8 0

Step-by-step explanation:

8x-3x = 18-3(like terms)

or,5x = 15

or,x=15/5

or,x=3

Naddik [55]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

in order to solve for the value of x in the expression

8x + 3 = 3x + 18​

we are going to simply combine the like terms then later evaluate for the value of x

8x + 3 = 3x + 18​

8x + 3 - 3x = 18

8x -3x = 18 -3

5x = 15

divide both sides by the coefficient of x

5x/5 = 15/5

x = 3

therefore the value of x in the expression

8x + 3 = 3x + 18​ is equals to 3

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GenaCL600 [577]

Answer:

The answer is 1st point, 1/2×22.0×23.1

Step-by-step explanation:

You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.

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3 years ago
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7 0
3 years ago
Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
natima [27]
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance. 
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

8 0
2 years ago
Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression.<br><br> tan( ∅ - x )
Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0
1 year ago
Read 2 more answers
Jose and Frank made 3 1/5 pounds of pasta. They ate 1 2/5 pounds for dinner. How much was left over?
Lyrx [107]

Hi there,

It is 1 4/5. In decimal it is 1.8. Hope it helps:-)

6 0
3 years ago
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