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3 years ago

10

Can someone please explain this problem?

1 answer:

kolezko [41]3 years ago

7 0

I have the same problem. I think it is 4.

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The sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the nu

9966 [12]

Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85

4 0

3 years ago

Read 2 more answers

What is the distance between the two points? A. 4 units B. 5 units C. 6 units D. 7 units

slavikrds [6]

Answer:

C.?

Step-by-step explanation:

wheres the pic??

7 0

2 years ago

Read 2 more answers

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

3 years ago

Expression for the area of the rectangle shown. (A = length x

Mamont248 [21]

4(8x-2)
Distribute the 4
So it should be 32x-8

Hope it helps

5 0

3 years ago

Help now Twenty-seven is 25% of a0.

masya89 [10]

Answer:

27 is 25 % of 108

Step-by-step explanation:

x*25/100=27 or x=(27*100)/25=108

4 0

3 years ago

Read 2 more answers