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Mila [183]
3 years ago
8

There are 100 cookies and 80 brownies on a dessert table at a restaurant. Of these desserts, 12 cookies and 24 brownies contain

nuts. What percentage of these desserts contain nuts?
Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

20%

Step-by-step explanation:

Total number of desserts: 100 + 80 = 180

Number of desserts that contain nuts: 12 + 24 = 36

What percentage is 36 of 180?

To find what percentage a part is of the whole, divide the part by the whole and multiply by 100%.

percent = 36/180 * 100% = 0.2 * 100% = 20%

Answer: 20%

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If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.
Ierofanga [76]
According to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in   all the fraction then you get
<span>a²/bc+b²/ca+c²/ab=3. 
</span>hence proved


5 0
3 years ago
An object with a starting velocity of 15 m/s accelerates at 3 m/s2. How far does the object travel within 10 seconds?
Anna007 [38]

Answer:  300 m

<u>Step-by-step explanation:</u>

distance(s)=v_it+\dfrac{1}{2}at^2 \quad \text{where}\ v_i \text{is initial velocity, a is acceleration, t is time}

s=(15)(10)+\dfrac{1}{2}(3)(10)^2

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6 0
3 years ago
Grant can pick 9 tomatoes in 12 minutes. How many tomatoes can grant pick in one hour?
blagie [28]

Answer:

45 tomatoes

Step-by-step explanation:

1 hour = 60 minutes

60 ÷ 12 = 5

you can get 9 tomatoes every 12 minutes, 5 times in one hour

9 × 5 = 45

3 0
3 years ago
Jaime has a budget in which 1/4 of the money is for photocopying 3/7 of the money is for computer expenses and the rest of the m
Marat540 [252]
Let
x-------> <span>Jaime budget
</span>s------> <span>fraction of Jaime budget for student tutors
</span><span>
we know that
x=(1/4)x+(3/7)x+s

3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
</span>x=(1/4)x+(6/14)x+s<span>
x=(7/14)x+s
s=x-(7/14)x
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the answer is
</span>half of the budget is for student tutors
6 0
3 years ago
Factor:<br> 16g^2-26gh-35h^2
Sever21 [200]

Answer:

The factored form would be (8g + 7h)(2g - 5h)

Step-by-step explanation:

In order to find this, we need to use factors of 16g^2 in the front of the parenthesis. We also need to use factors of -35h^2 in the second side. Now we try these in the parenthesis and FOIL until we get an appropriate middle term.

6 0
3 years ago
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