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
Nana76 [90]
3 years ago
11

A particular lawn mower is on sale at two different stores the original price at both stores was $130. Watson’s garden shop is a

dvertising the lawn mower for 50% off. Hartman’s home center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?
Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

The deal of Watson’s garden shop is better.

Step-by-step explanation:

Given,

The original price = $ 130,

After 50% off,

The new price would be,

P_1=130\times \frac{(100-50)}{100}

=\frac{130\times 50}{100}

=\frac{6500}{100}

=\$ 65

While, after 40% off then additional 15% off,

The new price would be,

P_2= 130\times \frac{(100-40)}{100}\times \frac{(100-15)}{100}

=130\times \frac{60}{100}\times \frac{85}{100}

=\frac{663000}{10000}

=\$ 66.30

∵ 66.30 > 65

Hence, first deal is better.

matrenka [14]3 years ago
4 0

Answer:

Watson's garden shop has the better deal on the lawn mower.

Hope this helped :)

Step-by-step explanation:

Watson's $130 - 50% = $65

Hartman's $130 - 40% = $78

                  $78 - 15% = About $66

You might be interested in
How do you find the Radius of a cylinder?
oksano4ka [1.4K]
If you know the volume and the height of a cylinder, you can find its radius by using the formula for the volume of a cylinder.<span>Know the Formula for the Volume of a Cylinder. ...Solve for the Radius (r) ...<span>Plug in the Values for Height (h) and Volume (V) and Calculate.</span></span>
3 0
3 years ago
Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.
Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

========================================

Let

k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

4x+7y+3=0             <em>subtract 7y from both sides</em>

4x+3=-7y         <em>divide both sides by (-7)</em>

-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}

Therefore

m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}

We have the equation:

y=\dfrac{7}{4}x+b

Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :

1=\dfrac{7}{4}(-2)+b

1=-\dfrac{7}{2}+b     <em>multiply both sides by 2</em>

2=-7+2b           <em>add 7 to both sides</em>

9=2b            <em>divide both sides by 2</em>

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

y=\dfrac{7}{4}x+\dfrac{9}{2} - <em>slope-intercept form</em>

Convert to the general form:

y=\dfrac{7}{4}x+\dfrac{9}{2}         <em>multiply both sides by 4</em>

4y=7x+18      <em>subtract 4y from both sides</em>

0=7x-4y+18

6 0
3 years ago
Please help!!<br>solve for x
timurjin [86]

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

→ x = 4

<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>.</u>

4 0
2 years ago
Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
3 years ago
at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens
Karolina [17]

Answer:

24 horses and 12 chicken

7 0
2 years ago
Read 2 more answers
Other questions:
  • - 3 1/3 • (-2 2/5) whats the answer
    10·1 answer
  • A man 6.2 ft tall casts a 8 ft shadow. How tall is a child that casts a 5.6 ft shadow at the same time of the day? (to the neare
    13·2 answers
  • 42.5% of what is 20.57
    14·2 answers
  • Barney wants to rent a tent. He has to pay a fixed base cost plus a daily rate for renting the tent. The table shows the amount
    13·2 answers
  • What is bigger 2/6 or 1/3
    6·2 answers
  • Maya roll of wrapping paper the area of the paper on the role is 850 in.² My aunt needs to wrap a gift box that is 12 inches lon
    13·1 answer
  • What is the slope of the line that passes through the points (-4, 0)and (-4, -10) ?
    5·2 answers
  • Write an equation in point-slope form of the line that passes through the point (7,-5) with slope -1/7.
    5·1 answer
  • A quantity with an initial value of 850 grows continuously at a rate of 90% per
    11·1 answer
  • What is the answer -50 1/2+(-12.3) pls help
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!