A wood board 59 inches long is cut into three parts. The first part is twice the
length of the second part. The third part is 5 less than the second part. How long
are the three parts?

Answer:

[tex]y=6x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=6x+b[/tex]

Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:

[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]

Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:

[tex]y=6x+(-5)\\y=6x-5[/tex]

I hope this helps!

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

Answer:

The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).

Answer:

-16

Step-by-step explanation:

-k² -(3k-5n)+4n k=-1 , n= -2

= -(-1)² - ( 3(-1) -5(-2) )+4(-2)

= -1-(-3+10)-8

= -1-(7)-8

= -1-7-8

= -16

Step-by-step explanation:

If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Answer:

f(5) = 22

Step-by-step explanation:

Substitute x = 5 into f(x) for image , that is

f(5) = 3(5) + 7 = 15 + 7 = 22

Answer:

"How many times does 81 divide into 547?"

Answer:

2nd option

Step-by-step explanation:

Given

c = 8πab ( isolate a by dividing both sides by 8πb

[tex]\frac{c}{8\pi b}[/tex] = a

Answer:

Step-by-step explanation:

Mean = Sum of data ÷ number of data set

         [tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]

Median:

Arrange the data in ascending order:

2 , 3 , 3 , 4 , 7 , 9 , 15

Middle term is the median of the data set

Median  = 4th term = 4

Mode:

Mode is the data whose is frequency is more.

So, mode = 3

Range = Maximum - minimum

           = 15 - 2

           = 13

Answer:

[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]

Answer: 7

Step-by-step explanation:

3y+6-5=22

3y+1=22

3y=22-1

y=21/3

y=7

Answer:

see image

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".

The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.

------------------------

Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.

Answer:

2:1.

Step-by-step explanation:

The area of a red  curved surface = 2πr^2.

The area of the yellow flat surface = πr^2.

This is the case for all the hemispheres.

Therefore the  required  ratio =  2πr^2 :  πr^2

= 2:1.

Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).

f(-3) = -2(-3)^2+(-3)+3

f(-3) = -2(9)+(-3)+3

f(-3) = -18-3+3

f(-3) = -18 is your final answer

Answer:

The answer is 25 weeks

Step-by-step explanation:

Let, Number of weeks = x

Now, the required expression is

∴[tex]600-20x\geq 100\\=>-20x\geq -500\\=>20x\leq 500\\x\leq 25[/tex]

Hope you have understood this.....

ask me if you have any confusion.....

if you liked it pls mark it as the brainliest

Step-by-step explanation:

remember : calculations are usually done from left to right, but multiplications and divisions come before + and -.

and exponents come before multiplications and divisions.

and minus a negative number always turns into plus a positive number.

so,

3b²c - 2ad = 3×4²×2 - 2×3×-2 = 96 - -12 = 96 + 12 = 108

and

ac - bd/7 = 3×2 - 4×-2/7 = 6 - -8/7 = 6 + 8/7 = 7 1/7 ≈ 7.143

Answer:

C. 8 units right and 5 units down

Step-by-step explanation:

since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5

Answer:

x is all real numbers

Step-by-step explanation:

4(x + 1) = 4x + 4

Distribute

4x+4 = 4x+4

Subtract 4x from each side

4x+4-4x = 4x+4-4x

4=4

This is always true so there are infinite solutions

x is all real numbers

Answer:

solution:

here,

or, (2x+30)°=(3x+20)°

or,2x+30°=3x+20°

or, 2x+3x=30°+20°

or, 5x=50°

or, x=50°÷5

so that: x=10° ans

Step-by-step explanation:

Solution,

P={2,3,4}

P={x:x ∈ N between 1 and 5}

Q={1,5}

Q={x:x ∈ factors of 5}

I hope you were asking for the same answer .

I hope it helped U

stay safe stay happy

Answer:

I think you mean C.

Step-by-step explanation:

f(x) / g(x) = (x + 3)(x - 3)

                ==========

                  (x - 3)(x - 1)

f(x)/g(x) = (x+3) / (x - 1)

- ∞ < 1 U 1 < 3 U 3 < ∞  

Answer:

49

Step-by-step explanation:

Answer:

A=0

B=1

Step-by-step explanation:

Just did it (:

Answer: A = 0, and B = 1.

Step-by-step explanation: I put 0, and 1, and it was the perfect answer.

Answer:

Step-by-step explanation:

[tex] \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} [/tex]

[tex] = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} [/tex]

[tex] = > \frac{5m - 10}{6} = \frac{5m - 10}{2} [/tex]

[Cross Multiplication]

=> 2(5m - 10) = 6(5m - 10)

=> 10m - 20 = 30m - 60

=> 60 - 20 = 30m - 10m

=> 40 = 20m

[tex] = > m = \frac{40}{20} [/tex]

=> m = 2 (Ans)

Answer:

after 3 seconds, the object hits the ground.

Hope this helps :)