Bella can cut 24 pieces of ribbon from this long strip
<u>Solution:</u>
Given that Bella has 85 feet of ribbons in total
She needs identical strips of ribbon measuring 3.5 feet each
To find: Number of peices of ribbon can she cut from long strip
Number of peices of ribbon can she cut from long strip can be calculated by dividing the total feet of ribbon she has by length of identical strips she needs
<em><u>Mathematically written as:</u></em>


Hence , the number of strip can be 24 each of size 3.5 feet
3/5 of 1600 = $960 spent for heavy duty tapes
1600 - 960 = $640 spent for regular tapes
The company normally bought
960 ÷ 30 = 32 heavy duty tapes
640 ÷ 20 = 32 regular tapes
With the new prices, the company is paying
32 × 28 = 896 for the heavy duty tapes
32 × 19 = 608 for the regular tapes
The company is saving
960 - 896 = $64 for the heavy duty tapes
640 - 608 = $32 for the regular tapes
I added a screenshot with the complete question along with its diagram
<u><em>Answer:</em></u>∠1 = 163°
<u><em>Explanation:</em></u><u>1- getting angle 2:</u>We know that ∠2 and the 17° form a straight angle. This means that their sum is 180°.
Therefore:
180 = 17 + ∠2
∠2 = 180 - 17
∠2 = 163°
<u>2- getting angle 1:</u>We are given that lines a and b are parallel.
This means that ∠1 and ∠2 are alternating angles which means that they are equal in measurement.
We have calculated that ∠2 = 163°
This means that:
∠1 = 163°
Hope this helps :)
Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
(-3x + 15) + (-3x + 2)
Simplify by combining like terms.
-6x + 17
-6x + 17