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
schepotkina [342]
2 years ago
7

Solve for the given length. The length of a rectangle is 3m longer than its width. The area of the rectangle is 154^2. What is t

he width of the rectangle?
Show all work
Mathematics
2 answers:
Andre45 [30]2 years ago
7 0
If the length of a rectangle is 3m longer than its width, then:
L=W+3
Is the area really 154^2? Or is it 154m^2? If yes, then:
A=LW
154=(W+3)(W)
154=(W^2+3W)
0=W^2+3W-154
0=(W-11)(W+14)
This means either (W-11) or (W+14) is equal to zero so:
W=11 and W=-14
To find out let's substitute the numbers:
154=(11+3)(11)
154=154
Therefore, the width of the rectangle is 11m
VikaD [51]2 years ago
4 0
By definition the area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 We rewrite the expression based on:
 "The length of a rectangle is 3m longer than its width"
 A = (w) * (w + 3)
 We substitute the value of the area:
 154 ^ 2 = (w) * (w + 3)
 Rewrite:
 23716 = w ^ 2 + 3w
 w ^ 2 + 3w-23716 = 0
 We solve the polynomial:
 w = 152.5
 Note: the other root is negative.
 Answer: 
 the width of the rectangle is: 
 w = 152.5 m
You might be interested in
What is the slope of a line perpendicular to the line whose equation is Y=2x+5?
Oksanka [162]
B. slope is -1/2

This is because the m-value aka the slope is always the reciprocal if the line is perpendicular
8 0
2 years ago
Help with this question, please!
Katyanochek1 [597]

The diet will include <u>123.75 </u>daily grams of protein

<h3>Further explanation</h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the task :

A nutritionist planning a diet for a football player wants him to consume 3,500 Calories and 725 grams of food daily. Calories from fat and protein will be 45% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of protein will the diet include?

  • 243.75
  • 481.25
  • 123.75
  • 120

Calories from fat and protein will be 45% (0.45) of the total Calories

Calories from fat and protein = 0.45 x 3500 = 1575 calories

Calories from carbohydrates = 3500 - 1575 = 1925 calories

So mass for carbohydrates = 1925 : 4(4 calories/gram) = 481.25 grams

Then mass for fat and protein = 725 - 481.25 = 243.75 grams

We can make equation for fat and protein

1. 4 calories. mass of protein(p) + 9 calories . mass of fat(f) = 1575 calories

2. mass of protein(p) + mass of fat(f) = 243.75

we can simplify :

1. 4p+9f = 1575

2. p + f = 243.75 ⇒ f = 243.75 - p

we substitute equation 2 into equation 1 :

4p + 9(243.75-p) = 1575

4p + 2193.75-9p=1575

-5p = -618.75

p = 123.75

<h3>Learn more</h3>

linear equation

brainly.com/question/99841

Keywords : one variable, linear equation ,diet, nutritionist,calories, fat, proteins, carbohydrates, daily grams

#LearnWithBrainly

6 0
3 years ago
You spin a spinner with 5 sections: 1 blue (B) 1 purple (P), 1 red (R), 1 orange
baherus [9]

Answer:

B. (B P R O G)

Step-by-step explanation:

this answer includes the whole population of the sample space

8 0
3 years ago
Read 2 more answers
Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
Vedmedyk [2.9K]

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

6 0
3 years ago
What is the perimeter
loris [4]

Answer:

81

Step-by-step explanation:

Add all of the together to find how much they all equal. 27x3 = 81

4 0
2 years ago
Read 2 more answers
Other questions:
  • Sara sells bracelets for $1.25 each and will ship them to you for a fee of $4.25. If you purchase 12
    8·2 answers
  • Find two possible values of x:
    11·1 answer
  • Write the phrase as an algebraic expression. A number plus six and three tenths. PLEASE HEEELP
    14·2 answers
  • 4.9 g = kg convert answer it plz
    6·2 answers
  • Find the distance between the points (1, 5) and (1, -4). 3 √(41) 9
    14·1 answer
  • 21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
    13·1 answer
  • A teacher asked her students how many pets they own.Here are the results: 0,0,0,1,1,1,1,2,2,2,4,4,8 On a piece of paper, draw a
    5·2 answers
  • What fraction represents the value of sin a in️ ABC ​
    11·1 answer
  • Please help! Very Easy and urgent
    12·1 answer
  • Please tell me how to do this, I'll mark brainliest if you do
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!