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krok68 [10]
3 years ago
5

In a cookie mix, we find spice cookies, snickerdoodle cookies, and no-bake cookies in a ratio of 3:3:5. If a bag of the mix cont

ains 45 no bake cookies, how many cookies in total are there?
Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

Answer:

see the explaination

Step-by-step explanation:

let x be 3:3:5

3x:3x:5x

3x is splice cookies

3x is snickerdoodle cookies

5x is no bake cookies

where 5x is equal to 45

x is equal to 45÷5=9

so x is equal to 9

now,

3x = 3×9=27

3x = 3×9=27

5x = 45 (given)

now add all, total cookies =27+27+45

=99 cookies

so there are total 99 cookies in a cookie mix

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What are the solutions to the equation?<br> 7x^3=28x
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7x³ = 28x is our equation. We want its solutions.

When you have x and different powers, set the whole thing equal to zero.

7x³ = 28x

7x³ - 28x = 0

Now notice there's a common x in both terms. Let's factor it out.

x (7x² - 28) = 0

As 7 is a factor of 7 and 28, it too can be factored out.

x (7) (x² - 4) = 0

We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.

x (7) (x - 2) (x + 2) = 0

Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.

x = 0        -----> so x = 0

7 = 0       -----> no solution

x - 2 = 0   ----> so x = 2   after adding 2 to both sides

x + 2 = 0  ---> so = x - 2  after subtracting 2 to both sides


Thus the solutions are x = 0, x = 2, x = -2.

6 0
2 years ago
(Please help, due by midnight PST in 2hours) Find x and y.
bezimeni [28]
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2 years ago
What is the correct expanded form of -3(4 + 2n) ?​
lys-0071 [83]

Answer:

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3 0
3 years ago
Read 2 more answers
A cube and a square pyramid were joined to form the composite solid.
Yakvenalex [24]
We know that
<span>total surface area of the composite solid=surface area of the pyramid+surface area of the cube

surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in</span>²
surface area of the pyramid=4*54---> 216 in²

surface area of the cube=5*[12*12]----> 720 in²

total surface area of the composite solid=216 in²+720 in²---> 936 in²

the answer is the option
<span>936 square inches </span>
5 0
2 years ago
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