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klio [65]
2 years ago
13

1. Lisa and Tomas Lopez are buying a new minivan that has a base

Mathematics
1 answer:
Dimas [21]2 years ago
4 0

The question is incomplete:

Lisa and Tomas Lopez are buying a new minivan that has a base price of $22,510.the options total $8,062 and destination charge is $770. The dealer's cost is estimated to be 91% of the base price and 88% of the options.

-What is the sticker price of the vehicle?

-Find the dealer's percent of the base price.

-Find the dealer's percent of the options price.

-What is the estimated dealer's cost?

Answer:

-What is the sticker price of the vehicle? $31,342

-Find the dealer's percent of the base price: $20,484

-Find the dealer's percent of the options price: $7,094

-What is the estimated dealer's cost?  $28,348

Step-by-step explanation:

-The sticker price is the result of adding the base price plus the options plus the destination charge.

Sticker price= base price + options + destination charge

Sticker price= $22,510+$8,062+$770

Sticker price= $31,342

-Dealer's percent of the base price: It is  91% of the base price:

$22,510*91%= $20,484

-Dealer's percent of the options price: It is  88% of the options:

$8,062*88%= $7,094

-Estimated dealer's cost= Percent of base price+percent of options price+destination charge

Estimated dealer's cost= $20,484+$7,094+$770

Estimated dealer's cost=$28,348

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Simplify the square root of four over the cubed root of four. four raised to the five sixths power four raised to the one sixth
romanna [79]

Answer:

(B)4^{1/6}

Four raised to the one-sixth power

Step-by-step explanation:

We want to simplify:  \dfrac{\sqrt{4} }{\sqrt[3]{4} }

First, we apply the fractional law of indices to each term.

\text{If  } a^{1/x}=\sqrt[x]{a},$ then:\\\sqrt{4}=4^{1/2}\\\sqrt[3]{4}=4^{1/3}

We then have:

\dfrac{\sqrt{4} }{\sqrt[3]{4} }=\dfrac{4^{1/2} }{4^{1/3} }\\$Applying the division law of indices: \dfrac{a^m }{a^n }=a^{m-n}\\\dfrac{4^{1/2} }{4^{1/3} }=4^{1/2-1/3}\\\\=4^{1/6}

The correct option is B.

7 0
1 year ago
A store sells yogurt in small, medium, and large sizes. A small yogurt costs $2, a medium costs $3, and a large costs $5. In one
lidiya [134]
Let S = number of small yogurts ($2 each).
Let M = number of medium yogurts ($3 each)
Let L = number of large yogurts ($5 each)

Total yogurts is 27, therefore
S + M + L = 27

Total revenue generated is $98, therefore
2S + 3M +5L = 98

There are five more large yogurts than small yogurts, therefore
L = S + 5, or
-S + L = 5

These three equations may be written as the matrix equation
[  1   1   1  | |S|      |27|
|  2  3  5 | |M| =   |98|
| -1   0  1 | |L|       | 5|

The determinant of the matrix is
D = 3 - (2+5) + 3 = -1.

Solve with Cramer's Rule to obtain
S = -[27*3) - (98-25) - 15]
   = 7
M = -[(98-25) - 27(2+5) + (10+98)]
    = 8
L = -[15 - (10+98) + 27(3)]
   = 12

Answer: 7 small, 8 medium, 12 large yogurts.
8 0
2 years ago
Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 ​ start fraction, 1, divided by, 3, end fraction of a sheet to
My name is Ann [436]

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Noor bought 21 sheets of stickers

She gave 1/3 sheets to each 45 students

She wants to give teachers 1/2 of sheets

The question should be: how many teachers will she give

Total sheets=21

Students gets= 1/3 × 45

=45/3

=15 sheets

Remaining sheet= total sheets - students sheets

=21-15

=6 sheets

There are 6 sheets remaining for teachers

She wants to give 1/2 to each teacher

Then,

The number of teachers that will get =Remaining sheets ÷ each teacher's share

=6 ÷1/2

=6 × 2/1

=12 teachers

12 teachers will get 1/2 sheets each

5 0
1 year ago
A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4
Drupady [299]

Answer:

  • <em><u> It begins to move toward the right</u></em>

Explanation:

The given information can be summarized in this way:

  • First force vector: Fg = - 8N (vertical down)
  • Second force vector: Ft = 6N (horizonal right)
  • Third force vector: FN = 8N (vertical up)
  • Fourth vector: Ff = - 4N (horizontal left)

Following Newton's second law, net force equal mass times acceleration:

  • Net force = mass × acceleration

To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)

  • <u>Vertical force balance:</u>

        Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.

  • <u>Horizontal force balance:</u>

         Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.      

6 0
1 year ago
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =
Mila [183]

Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e y= mx+c  which is the equation of line

where m= slope

           y= dependent variable

           x= independent variable

          c= intercept

Given

y= 25+5h

comparing both expression we can see that

25 corresponds to c which is the intercept

6 0
2 years ago
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