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barxatty [35]
2 years ago
10

How to solve if 5a=6 and 7b=8, 35ab= (please explain, i need explaination)

Mathematics
1 answer:
ser-zykov [4K]2 years ago
6 0

Answer:

35ab = 48

Step-by-step explanation:

given

5a = 6 ( divide both sides by 5 )

a = \frac{6}{5}

and

7b = 8 ( divide both sides by 7 )

b = \frac{8}{7}

substitute these values for a and b into the expression and simplify

35ab

= 35 × \frac{6}{5} × \frac{8}{7} ( divide 35 and 5 by 5 )

= 7 × 6 × \frac{8}{7}

= 42 × \frac{8}{7} ( divide 42 and 7 by 7 )

= 6 × 8

= 48

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A printing company sells small packages of personalized stationery for $7 each, medium
Ahat [919]

Step-by-step explanation:

what's the question ? it does not say.

I assume it is "how many packages of what size were sold ?"

x = number of small packages

y = number of medium packages sold

z = number of large packages sold

x + y + z = 9

7x + 12y + 15z = 86

y = 3z

these are the 3 equations we get out of the question.

we put the third equation into the other two :

x + 3z + z = x + 4z = 9

7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86

it of this first equation we get

x = -4z + 9

and putting that into the other equation :

7×(-4z + 9) + 51z = 86

-28z + 63 + 51z = 86

23z = 23

z = 1

y = 3z = 3×1 = 3

x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5

so, 5 small, 3 medium and 1 large packages were sold.

4 0
3 years ago
3. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
drek231 [11]

Answer:

D. y= -5/2x - 1

Step-by-step explanation:

Hope this helps. Sorry if it doesn't

3 0
3 years ago
X^3+216=0 solve the equation , try your solutions
Veronika [31]
X³  + 216 = 0

x³   = 0 - 216

x³   = - 216    Take the cube root of both sides.

∛x³ =  ∛-216

x = -6


Check:

x³  + 216 = 0,    x = -6

(-6)³  + 216 = 0

-216 + 216 = 0

0  =  0          Correct.
5 0
3 years ago
Read 2 more answers
Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9
AnnZ [28]

Answer:

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

Step-by-step explanation:

We have been given that

f(x)=x^3-27,g(x)=3x-9

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes -  a^3-b^3=(a-b)(a^2+ab+b^2)

f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)

And g(x) can be written as

g(x)=3x-9\\=3(x-3)

Thus, we have

(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}

On cancelling the common factors, we get

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

5 0
3 years ago
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Snezhnost [94]

Answer:

your right if you thin your wrong B can be right too

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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