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Andreyy89
3 years ago
15

Solve 2 - (7x + 5) = 13 - 3x (make sure to type the number only)

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Answer:

x = -4

Step-by-step explanation:

2 - (7x + 5) = 13 - 3x

add the binomial (7x +5) to both sides

2 = (7x + 5) + 13 - 3x

combine like terms

2 = 4x + 18

subtract 18 from both sides

-16 = 4x

divide by 4

x = -4

MatroZZZ [7]3 years ago
4 0

Answer:

-4

Step-by-step explanation:

Distribute the negative signs to the values in the parentheses

2 -7x - 5 = 13 - 3x

Add like terms:

-7x - 3 = 13 - 3x

Add 3x to both sides:

-4x - 3 = 13

Add 3 to both sides:

-4x = 16

Divide both sides by -4:

x = -4

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You have just isolated a new radioactive element. If you can determine its half-life, you will win the Nobel Prize in physics. Y
Troyanec [42]
Staals half
1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this

A=P( \frac{1}{2})^ \frac{t}{h}
A=final amount
P=initila amount
t=time elapsed
h=time half life is (same units as time)

let's use days as the units of time


we are given
initial amount=1gram
final amount=0.3gram
time=4 days

so
0.3=1( \frac{1}{2})^ \frac{4}{h}
solve for h
0.3=( \frac{1}{2})^ \frac{4}{h}
take the ln of both sides
ln(0.3)=ln( \frac{1}{2})^ \frac{4}{h}
ln(0.3)=\frac{4}{h}ln( \frac{1}{2})
times both sides by h
hln(0.3)=4ln( \frac{1}{2})
divide both sides by ln(0.3)
h= \frac{4ln( \frac{1}{2}) }{ln(0.3)}
use calculator
h=2.30287
3 sig figs
h=2.303 days
6 0
4 years ago
In parallelogram ABCD , BE=7x−2 and ED=x2−10 .
Stells [14]

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

  • 7x-2=x²-10
  • x²-7x-8=0
  • (x-8)(x+1)=0
  • x = -1, 8

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

5 0
2 years ago
1. COST Mr. Rivera wants to purchase a riding lawn
antiseptic1488 [7]

Answer:

p(x) = 0.85x

t(x) = 1.065x

(t o p)(x) = 0.9x

$2700

Step-by-step explanation:

If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

p(x) = x(1 - \frac{15}{100}) = 0.85x

where x is the marked price.

Now, the function that gives the total cost with sales tax will be given by

t(x) = x(1 + \frac{6.5}{100}) = 1.065x

where x is the discounted price.

Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by

(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)

where x is the marked price.

If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),

(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)

8 0
4 years ago
Translate to algebraic expressions
galben [10]
1. x+½
2. 82-x
3. 4(x+3/10)
4. 2x-21
5.2x²
6. ⅓(x+53)

7 0
3 years ago
Family traveled 25 miles in 1/2 hour. If it’s currently 3:00 pm and the destination is 225 miles away, what time will they arriv
dangina [55]

It is currently 03:00 PM, the family will reach at 03:00+4.5 = 07:30 PM

Step-by-step explanation:

We have to calculate the speed first to find the time it will take the family to complete the trip.

Given

Distance = d = 25 miles

Time = t = 1/2 hours = 0.5 hours

Speed =\frac{d}{t}\\=\frac{25}{0.5}\\=50 miles\ per\ hour

Now,

Distance remaining = 225 miles

Speed = 50 miles per hour

s=\frac{d}{t}\\t=\frac{d}{s}\\t=\frac{225}{50}\\t=4.5\ hours

As we see that the time required to complete the journey is 4.5 hours.

It is currently 03:00 PM, the family will reach at 03:00+4.5 = 07:30 PM

Keywords: Speed, Distance

Learn more about speed at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417

#LearnwithBrainly

3 0
3 years ago
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