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2 years ago

11

robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savi

ngs before he bought the jacket

1 answer:

aliina [53]2 years ago

6 0

He had $105 in his savings

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A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t

Alchen [17]

The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
x = y - 7

$\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\ \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\ \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\ \\ y(y-7) = 13(2y-7) \\ \\ y^2-33y+91 = 0 \\ \\ y = 29.96 \\ \\ x = y-7 = 29.96-7 = 22.96$
Rounded to nearest tenth gives:
x = 23 hours

6 0

3 years ago

Your friend attempted to factor an expression as shown. Find the error in your friends work. Then factor the expression correctl

loris [4]

Answer:

Third step is incorrect. The correct factored form is (x-1)(2x-5).

Step-by-step explanation:

The given expression is

$2x^2-7x+5$

We need to find the factored form of this expression.

Step 1: Given

$2x^2-7x+5$

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).

$2x^2-5x-2x+5$

$(2x^2-5x)+(-2x+5)$

Step 3: Taking out common factors from each parenthesis.

$x(2x-5)-1(2x-5)$

Step 4: Taking out common factors.

$(x-1)(2x-5)$

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).

3 0

2 years ago

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followi

vfiekz [6]

Answer:

34

Step-by-step explanation:

Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.

The general formula of that geometric sequence will be: t = 1 + 2^(n-1)

We need to find the value of n when t will be over 5,000,000,000.

So, the equation becomes:

5,000,000,001 = 1 + 2^(n-1)

$2^{n-1}= 5,000,000,001$

$log(2^{n-1}) = log(5,000,000,000)$

(n-1) * log(2) = log(5,000,000,000)

n-1 = log(5,000,000,000) / log(2)

n-1 = 22.25

n = 33.25

Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.

7 0

3 years ago

Debby pays rent twice a year, buys groceries once every quarter, and buys a transit pass

Natasha2012 [34]

<h3>Answer: 2x+4y+12z (choice B)</h3>

Work Shown:

x = amount of rent paid per half year

2x = amount of rent paid annually

y = amount spent on groceries per quarter

4y = amount spent on groceries annually

z = amount spent on a transit pass monthly

12z = amount spent on transit pass annually

2x+4y+12z = total amount of money spent annually

8 0

3 years ago

The diameter of a circle is 1 meter.the circumference is how many centimeters

andre [41]

Step-by-step explanation:

C= pi×d

d=.5 meters

so plug in the numbers

3.14 × .5= 1.75

circumference= 1.75 meters

3 0

3 years ago