1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yulyashka [42]
2 years ago
11

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

imeter of the rectangle is 2(5x – 2) + 2(3x + 1). If x = 4 centimeters, what is the total distance Zohar needs to cut with the scissors?
Mathematics
1 answer:
Softa [21]2 years ago
7 0

Answer:

62 cm

Step-by-step explanation:

Given the expressions for width (3x + 1) and length (5x - 2) as well as the formula for the perimeter of a rectangle: 2(5x - 2) + 2(3x +10), we can first solve for the simplified expression of 'x' and then substitute the given value of x = 4cm to find the total distance:

Distribute: 2(5x - 2) + 2(3x +1) = 10x - 4 + 6x + 2

Combine like terms:  16x - 2

Plug in '4' for 'x':  16(4) - 2 = 64 -2  = 62 cm

You might be interested in
Which of the following best describes the equation below?<br> 2(x + 9) + 5x = 7x - 18
VARVARA [1.3K]
No solution but the equation is true
3 0
3 years ago
At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of mi
tangare [24]

Answer:

The price for a small glass of milk is $0.95, and the price for a breakfast taco is $1.15.

Step-by-step explanation:

Let the price of a taco be x and the price for a small glass of milk be y.

x + y = 2.1

2x + 3y = 5.15

Multiply the first equation by 2:

2x + 2y = 4.2

Subtract the new third equation from the second equation:

(2x + 3y) - (2x + 2y) = 5.15 - 4.2

y = 0.95

Hence, the price for a small glass of milk is $0.95.

Substitute y into the first equation.

x + 0.95 = 2.1

x = 1.15

Therefore, the price for a breakfast taco is $1.15.

Hope this helped!

3 0
2 years ago
Read 2 more answers
Question 1 (Essay Worth 10 points)
Shalnov [3]

✿————✦————✿————✦————✿

The answer is: <u>2(k2−4k)(2c+5)</u>

✿————✦————✿————✦————✿

Step:

* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.

* Factor out the common term 2c+5 by using the distributive property.

* Rewrite the complete factored expression.

✿————✦————✿————✦————✿

6 0
2 years ago
Systems of linear equations iready quiz
saw5 [17]

Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

<em>Does the following system have One Solution, No Solution, or Infinite Solutions.   </em>

<em />y = 4x + 8\\y = -5x + 3<em />

<em />

<em />

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

-y = -4x - 8\\y = -5x + 3

0=-9x-5\\5=-9x\\x=-\frac{5}{9}

Then, we use this value to find the other one

y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

7 0
3 years ago
What is the solution for the following system of equations?
rosijanka [135]

Answer:

y=2

Step-by-step explanation:

Multiply -3(2) which gives -6, -6+8=2

Thus, y=2

7 0
2 years ago
Other questions:
  • A punch recipe serves 24 people calls for 4 L of lemonade soda 2 pints of sherbet and 6 cup of ice how much of each ingredient w
    13·1 answer
  • A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find the vertical distance between
    7·1 answer
  • Solve for the variable indicated. 2p=kx-t, for x
    10·2 answers
  • HELLPP IDK HOW TO DOO O
    10·2 answers
  • Write a ratio to express the number of people who preferred WANR to those who preferred WCLM.
    7·2 answers
  • Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions
    14·1 answer
  • Which values are solutions to the inequailty below ? check all that apply x2 &lt; 25
    9·1 answer
  • HELP!! i will vote brainlest answer
    11·1 answer
  • Hello, please help with this multiple choice question, thanks.
    8·1 answer
  • Determine which number would satisfy the inequality 3y-8&gt;22. Choose all that apply.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!