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Wittaler [7]
3 years ago
7

Karen measures the width of a garden plot and records that it is 44.25 meters. Its actual width is 45.5 meters. What is the perc

ent error in the measurement, to the nearest tenth of a percent?
Mathematics
1 answer:
vfiekz [6]3 years ago
8 0
Actual width:        45.5 m-----------------100%
Measured width:  44.25 m---------------- x%
45.5 : 44.25 = 100 : x
45.5 x = 4,425
x = 4,425 : 45.5 = 97.252
97.252% - 100% = - 2.747% ≈ - 2.7%
Answer: The percent error is - 2.7%.  
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The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
Gennadij [26K]

Answer:

224 pages total

Step-by-step explanation:

To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.

7 0
3 years ago
Manuela is having mugs made for a fundraiser. The Cup Company will make them for $4 each plus a $30 set-up charge. Mugs Are Us w
amm1812

Answer:

The price will be the same for both companies at 60 mugs

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the rate of change
  • b is the fixed amount

Assume that the number of mugs is x and the total cost of them is $y

∵ The Cup Company will make them for $4 each plus a $30

   set-up charge

∴ The cost per mug = $4

∴ m = 4

∴ The fixed amount = $30

∴ b = 30

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4x + 30 ⇒ (1)

∵  Mugs Are Us will make them for $4.50 each with no set-up charge

∴ The cost per mug = $4.50

∴ m = 4.5

∴ The fixed amount = 0

∴ b = 0

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4.5x + 0

∴ y= 4.5x ⇒ (2)

∵ The price be the same for both companies

→ Equate the right sides of (1) and (2)

∴ 4.5x = 4x + 30

→ Subtract 4x from both sides

∵ 4.5x - 4x = 4x - 4x + 30

∴ 0.5x = 30

→ Divide both sides by 0.5

∴ x = 60

∴ The price will be the same for both companies at 60 mugs

4 0
3 years ago
What is an equation of the line that passes through the points (1, -7) and (-4, 8)?
melomori [17]
<h2>Answer:    y + 7  =  -3 (x - 1)</h2>

Step-by-step explanation:

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                                       

                                          =  (- 7 - 8) ÷ ( 1 - (- 4))

                                         =    - 15  ÷  5

                                         =  - 3

We can now use the point-slope form to write the equation for this line:

        y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)

             y - (-7) =  -3 ( x  -  1)

              y + 7  =  -3 (x - 1)

3 0
3 years ago
Which graph represents f(x)=log3x 1?
exis [7]

The correct option A: graph A, shows the logarithmic function;

f(x) = log₃x + 1

<h3>Explain the term logarithmic function?</h3>
  • The opposite of such an exponential function is a logarithmic function.
  • A log function and then an exponential function both use the same base.
  • An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
  • The formula again for logarithmic function is f(x) = log base b of x.

f(x) = log₃x + 1

  • When x = 1

f(1) = log₃1 + 1

f(1) = 0 + 1

f(1) = 1

(1, 1)

  • When x = 3

f(3) = log₃3 + 1

f(3) = 1 + 1

f(3) = 2

(3, 2)

Thus, the graph must contain the points   (1, 1), (3, 2).

Therefore, graph A define the given logarithmic function;

f(x) = log₃x + 1.

To know more about the logarithmic function, here

brainly.com/question/13473114

#SPJ4

7 0
1 year ago
Jill just made a purchase online. The store that she bought from gave her the option to pay with a check, money order, or credit
svp [43]
The credit card is instant. She’d have to ship the money order and the check to the supplier.
4 0
3 years ago
Read 2 more answers
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