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2 years ago

7

Which is the solution to 5^x=8^x-7

1 answer:

Levart [38]2 years ago

3 0

Answer:

C) 30.9702

Step-by-step explanation:

Take log of both sides:

In5^x = In8^x - 7

Rewrite it using the laws of log:

xIn5 = (x - 7)In8

x / (x - 7) = ln 8 / ln 5

x / (x - 7) = 1.292

x = 1.292x - 9.044

1.292x - x = 9.044

x = 9.044 / 0.292

Thus, x = 30.9702

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sergiy2304 [10]

Answer:

m = -1

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Step-by-step explanation:

This equation is in slope intercept form: y = mx + b

m is the slope

b is the y intercept

m = -1

b = 3

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3 years ago

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cupoosta [38]

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Step-by-step explanation:

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£35.50 for the first day then £18.25 for each extra day the total cost of hiring the machine was £ 163.25 how many day dose Mart

BabaBlast [244]

y = number of days
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8 0

3 years ago

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

$x=5y$ -----> equation A

$y=2z$

$z=y/2$ -----> equation B

$(x+2)+(y+2)+(z+2)=58$

$x+y+z+6=58$

$x+y+z=52$ -----> equation C

Substitute equation A and equation B in equation C and solve for y

$5y+y+y/2=52$

Multiply by 2 both sides to remove the fraction

$10y+2y+y=104$

$13y=104$

$y=8$

<em>Find the value of x</em>

$x=5(8)=40$

<em>Find the value of z</em>

$z=8/2=4$

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

7 0

3 years ago

Which expression is equivalent to 27 +4 •16

Pavel [41]

Answer:

27+64

Step-by-step explanation:

lmk if you need an explanation

6 0

3 years ago