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Fantom [35]
3 years ago
9

Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 3 days. It costs $48 per d

ay to rent the tiller. She also buys a rake for $5. Part 1 out of 2 Find the change to the value of her gift card. The value on her gift card decreased by dollars.
Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Given :

Arleen has a gift card for a local lawn and garden store. She uses the gift card to . It costs $48 per day to rent the tiller. She also buys a rake for $5.

To Find :

The value on her gift card decreased by how many dollars.

Solution :

Decrease in dollar is given by :

D =\text{ rent a tiller for 3 days+ price of rake}\\\\D= \$( 48\times 3 + 5)\\\\D = \$149

Therefore, the value on her gift card decreased by 149 dollars.

Hence, this is the required solution.

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Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>

Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
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4 0
3 years ago
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growt
Mazyrski [523]

Answer:

hello, This can be solved using your standard rise over run slope calculation.  Think of the number of years after 1990 as your input variable.  2007 would be 17 years after 1990, so the "y" variable would be 17.  This is your "run", and it goes in the denominator of your slope calculation.  Then the difference between the 2007 population and the 1990 population would be the "p" variable difference, the "rise", which is 92500.  Dividing, you will get 5441.17.  Since we're talking about humans, we can't have a decimal, so let's round up to 5442.

 

Using the slope-intercept form of a linear equation (y = ax + b), we will say that p = 5442y + 123000.  Do you know why we add the 123000?  It's because that's the starting value, which is equivalent to the "intercept" in the slope-intercept form.

 

Hope this helps.

Step-by-step explanation:

6 0
3 years ago
Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

or, the amount invested in bonds is $35,000.

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mrs_skeptik [129]

Answer:

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Solve for x:

x - 8 = 0

Hint: | Isolate terms with x to the left hand side.

Add 8 to both sides:

x + (8 - 8) = 8

Hint: | Look for the difference of two identical terms.

8 - 8 = 0:

Answer: x = 8

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The 24 oz. is the better deal. For the 24 oz, each ounce is worth $.08 compared to $.10 per ounce for the 32 ounce bottle.
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