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wlad13 [49]
3 years ago
12

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:x=15

Step-by-step explanation:

You should collect the like terms first

21-6=x

Therefore

X=15

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After breaking your penny bank, you notice that you have $4.87 in quarters ($0.25), dimes ($0.10), nickels ($0.05), and pennies
ira [324]

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of dimes  be 'x'.

Let the number of nickels  be '\dfrac{3}{2}x'.

Let the number of pennies be \dfrac{3}{2}\times 2x=3x

Let the number of quarters be '3x-34'.

As we know that

1 quarter = $0.25

1 dime = $0.10

1 nickel = $0.05

1 penny = $0.01

According to question, we get that

0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14

So, the number of pennies is given by

3x=3\times 14=42

Hence, Option 'c' is correct.

3 0
3 years ago
write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer
USPshnik [31]

Answer:

y = 6/5 x-1  slope intercept form

6x-5y = 5  standard form

Step-by-step explanation:

We have the points  (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

 = (-7--1)/(-5-0)

 = (-7+1)/(-5-0)

 = -6/-5

 = 6/5

We also have the y intercept ( when x=0)  It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form  ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0
3 years ago
What’s the dill pickle?
Fofino [41]

Answer:

Fermented cucumbers

Step-by-step explanation:

A pickled cucumber is a cucumber that has been pickled in a brine, vinegar, or other solution and left to ferment for a period of time, by either immersing the cucumbers in an acidic solution or through souring by lacto-fermentation. Pickled cucumbers are often part of mixed pickles.

6 0
3 years ago
Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She
daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

y =2x

R =+2 --- increment in the rate

First, we need to model the new rate

A linear equation is:

y = mx + b

Where

m = rate

Compare y =2x and y = mx + b. we have:

m =2

The above represents the previous rate.

The new rate:

R =+2

Rewrite as:

R = m+2

R = 2+2

R = 4

So, the model is:

y = Rx

y = 4x

<u>The plot at 1 and 2 minutes</u>

When x = 1

y = 4x = 4 * 1 = 4

When x = 2

y = 4x = 4 * 2 = 8

So, we have:

(x_1,y_1) =(1,4)

(x_2,y_2) =(2,8)

<em>Whether she moves backwards or forward, the distance covered remains the same</em>

<em>See attachment for plot</em>

5 0
3 years ago
Show me the steps to solve and the solution y-2&gt;1/2(x-2)
aev [14]
<span>y-2>1/2(x-2) can be expanded as follows:  y - 2 > (1/2)x - 1

Mult. all terms by 2 to remove the fractions:

2y - 4 > x - 2

Add 4 to both sides:   2y > x + 2

Div. both sides by 2:    y > (1/2)x + 1   (answer)</span>
4 0
4 years ago
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