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3 years ago

9, Ivan uses 30 craft sticks to make each toy

Mathematics

1 answer:

stepan [7]3 years ago

3 0

Ivan can make 11 toy cabins and has 12 sticks left over.

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Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin

Ahat [919]

I guess this reads

$\displaystyle\int_1^4f(x)\,\mathrm dx=19$

$\displaystyle\int_1^4g(x)\,\mathrm dx=12$

You want to compute

$I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx$

By linearity of the definite integral,

$I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx$

$I=8\cdot19-12+7(4-1)=\boxed{161}$

3 0

3 years ago

Solve for n: -1/2 (n + 8) +3/4

vlabodo [156]

$\frac{1}{2} (n+8) + \frac{3}{4}$

$\frac{1(n+8)}{2} + \frac{3}{4}$

$\frac{n+8}{2} + \frac{3}{4}$

$\frac{2(n+8)}{4} + \frac{3}{4}$

$\frac{2(n+8) + 3}{4}$

$\frac{2n + 16 +3}{4}$

$\frac{2n + 19}{4}$

7 0

2 years ago

Ms. Wittenberg had a total of $220. She spent $11 at Dunkin' Donuts.

Sphinxa [80]

She spent 5% of her money

8 0

3 years ago

Solve Q=3a+5ac for a

lilavasa [31]

Here is how you solve...

Q= 3a+5ac

take out the common variable.
Q= a(3+5c)

get A by its self so divide each side by (3+5c).
Q/a(3+5c)= a(3+5c)/(3+5c)

Q/a(3+5c)=A

So your answer is A= Q/a(3+5c)

hope that helped.

8 0

3 years ago

A x + b y is equal to 12

Nikitich [7]

Answer:

y= -a*x + 12

b b

Step-by-step explanation:

ax+by=12 (subtract "ax" from both sides so that the one on the left will become zero and we will have "by" )

by= -ax+12(divide both side by "by" so that we will have the equation as "y=mx+b")

finally the result will be:

y= -a*x + 12

b b

7 0

2 years ago