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erma4kov [3.2K]
3 years ago
14

The price of cupcakes is $7 more than the price of a cake, which is d dollars.what does the expression d+7 represent?

Mathematics
1 answer:
bixtya [17]3 years ago
4 0

Answer:

The price of the cupcakes

Step-by-step explanation:

The expression represents the price of the cupcakes. D represents the dollar amount. If you were to do d-7 then you would get the price of the cake but since it's d+7 it would be the cupcakes

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What is

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8 0
2 years ago
Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

7 0
3 years ago
Sneha is planning a 5-night vacation. It will cost $50 for transportation, $290 for food, and $95 per night for a hotel room. Sh
Goshia [24]

Answer:

Step-by-step explanation:

Total cost for trip = 290 + 50 + 95*5 =290+50+ 475 = $ 815

Savings = $143

Money needed = 815 - 143 = $ 672

No. of driveways = 672/48 = 14

14 driveways must she shovel to have enough money to pay for the trip.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bs%7D%7B2%7D" id="TexFormula1" title="\frac{s}{2}" alt="\frac{s}{2}" align="absmiddle
Olegator [25]
S = 92

Explanation: I just know
4 0
3 years ago
Read 2 more answers
Pls helppp Me with this problemm
denpristay [2]

Answer:

a) y=8

b) x= 9

Step-by-step explanation:

a)

y/16= 2/4

y= 16 * 1/2      (cross multiply)

y= 8

b) x/5 = 36/20

x= 5 * 36/20    (cross multiply)

x= 9

5 0
2 years ago
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