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4 years ago

The product of a number and ten is twelve more than the product of the number and five-eighths.

1 answer:

3 0

Let the unknown number be x.

Given,

$10 * x = 12 + \frac{5}{8} * x$

$10x = 12 + \frac{5x}{8}$

$10x - \frac{5x}{8} = 12$

$\frac{(10x*8)-5x}{8} = 12$

$80x-5x =12*8$

$75x = 96$

x = $\frac{96}{75}$ = 1.28

Hence, the number is 1.28

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Help:<br> <img src="https://tex.z-dn.net/?f=1.%5C%20%26x%5E4-61x%5E2%2B900%3D0%20%5C%5C%202.%20%5C%20%26%20x%5E4-25x%5E2%2B144%3

yawa3891 [41]

$\bf{1) \ x^4-61x^2+900=0 }$

Applying the factorization method, for example:

$\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}$

$\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }$

$\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }$

$\bf{2) \ x^4-25x^2+144=0 }$

Applying the factorization method:

$\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }$

$\bf{ =(x-4)(x+4)(x-3)(x+3); }$

$\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }$

7 0

2 years ago

How many six digit even numbers can be formed that don't end in 0?

Fudgin [204]

1st digit: 9 possibilities (can’t have 0)
2nd digit: 10 possibilities
3rd digit:10
4th digit:10
5th digit:10
6th digit: 4 possibilities (it can only be even)
9•10•10•10•10•4 =360,000 possibilities

8 0

3 years ago

Can you help with this task please? I don't understand.

dezoksy [38]

Answer:

nota entonces jwbsbsbwhe de un 2

8 0

3 years ago

Determine the range of the following graph:

Alex Ar [27]

Answer:

-9≤y≤0

Step-by-step explanation:

-4≤x≤4 DOMAIN

-9≤y≤0 RANGE

I'm pretty sure this is correct but I haven't done it in a while

8 0

3 years ago

One cases of books weight 35 pounds.One case of magazines weights 23 pounds.A book store wants to ship 72 cases of books and 94

schepotkina [342]

I'm sorry but it's bugging me that you aid 'one cases', you can't have the plural of something that is strictly singular.

Now: for your answer.
72*35=2520
94*23=2162
2520+2162=4682

The total wight is 4682 pounds.

Hope this helps

6 0

3 years ago