All categories

3 years ago

Use the distributive property to create an equivalent expression to 42+6x

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

40+2+1(6+n)
This shows forty plus 2, then 1 times six plus 1 times n.

You might be interested in

Could someone please help me with this ! And also show work

makvit [3.9K]

Answer: C. K= 2.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0

3 years ago

Read 2 more answers

2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are

nadya68 [22]

Answer:

Angles 1 and 5 are corresponding angles.

Step-by-step explanation:

These are the different types of angles formed by a transversal:

1. Corresponding angles are angles that lie on the same side of the transversal line. Angles 1, 3, 5, 6, 9, and 11 are corresponding angles because they are all on the left side of the transversal (the line that cuts through the other lines). Angles 2, 4, 6, 8, 10, and 12 are corresponding angles because they are all on the right side of the transversal.

2. Alternate interior angles are angles that are nonadjacent angles that lie on opposite sides of the transversal and in between the horizontal lines. Here the alternate interior angles are 3 and 6, 4 and 5, 7 and 10, and 8 and 9.

3. Alternate exterior angles are those that are nonadjacent and lie on the outside of the horizontal lines. In this diagram, angles 1 and 12 and angles 2 and 11 are alternate exterior.

4. Same-side interior angles are angles that lie on the same side of the transversal and in between the horizontal lines. The same-side interior angles in this diagram are angles 3 and 5, 7 and 9, 4 and 6, and 8 and 10.

5 0

3 years ago

Would you rather receive $1,000 a year for 10 years or $800 a year for 15 years if the interest rate is 5%? What if the interest

Sonbull [250]

Maybe $800 i think i am not sure

8 0

3 years ago

The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

As length is 12 feet longer than the width.

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

4 0

4 years ago

Which are composite or prime 9 , 2 , 15 , 21

Luda [366]

A composite number is a number that has more than 2 factors.
A prime number is a number who only have 2 factors (1, and itself)
Factors:-

9 = 1, 3, 9 = composite
2 = 1, 2 = prime
15 = 1, 3, 5, 15 = composite
21 = 1, 3, 7, 21 = composite

So, the prime #'s in this set are 2. The composite #'s in this set are 9, 15, and 21.

Hope I helped ya!!

5 0

3 years ago

Read 2 more answers