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Sav [38]
2 years ago
13

Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that am

ount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week
Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

Answer:

1st week deposit= 2b+3

2nd week deposit=2(2b+3)

3rd week deposit=4(2b+3)

Total deposit=2b+3+2(2b+3)+6(2b+3)

=9(2b+3)

=18b+27

18b+27=477

18b. =477-27=450

18b. =450

;

b=450/18=25

Therefore 2b+3=2(25)+3 =50+3=53

PLEASE GIVE BRAINLIEST

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Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

6 0
3 years ago
Sally gave her brother $3.95 in quarters and dimes. if the number of quarters is 6 more than the number of dimes, how many quart
WARRIOR [948]
13 quarters
q=6+d
25q+10d=395
solve for q and get 13
7 0
3 years ago
Read 2 more answers
50 POINTS QUESTION ATTACHED. CHOOSE TWO CORRECT ANSWERS!
OlgaM077 [116]

Answer:

B and D

Step-by-step explanation:

A difference of squares has the form a² - b²

4p² - 9 = (2p)² - 3² ← is a difference of squares

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4 0
3 years ago
What is the sum of the<br>interior angles of a polygon<br>that has eleven sides?<br>Enter<br>​
OLEGan [10]

Answer:

1620

Step-by-step explanation:

180(n)-360=interior angle sum

180(11)-360=1620

n = number of sides

You also can divide it by 11 to know each interior angle.

1620/11=~147.27

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3 years ago
CAN SOMEONE PLEASE HELP ME PLEASE help
strojnjashka [21]

Answer:

I got uuuuu

Step-by-step explanation:

Here you go

11x-2=75 right and its an corresponding sooooo they equal each other so the other one is 75 also  if u want a my math lmk

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