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3 years ago

Combine the like terms: x + 5x + 10 + 2x + 15

Mathematics

2 answers:

Talja [164]3 years ago

8 0

Answer:

8x+25

Step-by-step explanation:

Add the x's and the others

wolverine [178]3 years ago

5 0

Answer:

8<em>x</em> + 25

Step-by-step explanation:

In the second photo.

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The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

Answer this please will thank

AlladinOne [14]

Answer:

Step-by-step explanation:

area of right triangle: 1/2 x Base x Height

area of rectangle: Length x Height ( Width )

5 0

3 years ago

A ball is thrown upward with an initial velocity of 16 ft/sec from a height of 32 ft above the ground. The height, in feet, of t

GaryK [48]

Answer: 2 seconds.

Step-by-step explanation:

Given : A ball is thrown upward with an initial velocity of 16 ft/sec from a height of 32 ft above the ground.

The height, in feet, of the ball t sec after it is thrown can be represented by

$s=-16t^2+16t+32.$

When ball reaches the ground , s= 0.

$\Rightarrow -16t^2+16t+32=0$

Divide both sides by 16 , we get

$-t^2+t+2=0\\\\\Rightarrow\ t^2-t-2=0\\\\\Rightarrow\ t^2-2t+t-2=0\\\\\Rightarrow\ (t-2)(t+1)=0 \\\\\Rightarrow\ t=2,-1$

But time cannot be negative , so t= 2.

Hence , it will take 2 seconds for the ball to reach the ground.

8 0

3 years ago

HELP QUICK ILL GIVE BRAINLIEST!!!!

gulaghasi [49]

Answer:

Step-by-step explanation:

a) circumference = diameter*pi

so, pi in circle A =25.12/8=3.14

pi in circle B = 9.42/3 =3.14

b) area of the circle =(diameter/2)^2*pi

so pi in circle A = 50.24/(8/2)^2=3.14

pi in circle B = 3.14

C) both the value of circle A and B are equivalent

4 0

3 years ago

Can someone help me plz

alexandr1967 [171]

Answer:

B. & E.

Step-by-step explanation:

First, to find your slope, put your line into slope-intercept form.

$y=mx+b\\$

$3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4} x-\frac{7}{4}$

Your slope is $\frac{3}{4}$ .

Now, you can find the y-intercept of your parallel line by plugging your given point and your slope into point-slope form.

$y-y1=m(x-x1)\\y-(-2)=\frac{3}{4} (x-(-4))\\y+2=\frac{3}{4} (x+4)\\y+2=\frac{3}{4} x+3\\y=\frac{3}{4} x+1$

Your y-intercept is 1.

If you notice, answer choice E is equivalent to one of our steps in converting it to point-slope form. Therefore, E is one of your answers.

The equation of your parallel line is:

$y=\frac{3}{4} x+1$

B is also a correct answer.

If you put B into slope-intercept form, you get the following:

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

This, of course, is equivalent to the parallel line which we already found, so we know it is parallel.

7 0

4 years ago

Read 2 more answers