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Roman55 [17]
2 years ago
6

A baker uses 2.327 kilograms of blueberries for muffins. There are four packages at the fruit market. Which amount is closest to

2.327 kilograms? A 2.3 kg B 2.42 kg © 2.33 kg 2.4 kg Iuel enrtchours the length of each Student Pencil Length (inches)
Mathematics
1 answer:
irinina [24]2 years ago
4 0

Answer:

2.33 kg

Step-by-step explanation:

If the baker needs to use 2.327 kilograms of blueberries, we are going to subtract the amount of the packages to the amount he needs and we'll see which is the smallest number.

In the case of 2.3, 2.327 - 2.3 = .027

In the case of 2.42, 2.327 - 2.42 = -0.09

In the case of 2.33, 2.327 - 2.33 = -0.003

In the case of 2.4, 2.327 - 2.4 = -0.07

Therefore, the closest amount to 2.327 is the 2.33 package.

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A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to
Aliun [14]

Answer:

A=9.5\ ft^2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

so

A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}

we have

b=4\ ft

Find the height of the right triangle applying the Pythagorean Theorem

5^2=h^2+4^2

h^2=9\\h=3\ ft

The radius of the semicircle is half the height of triangle

r=3/2=1.5\ ft

substitute in the formula

A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}

A=6+3.5=9.5\ ft^2

5 0
2 years ago
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Can you please help me with this problem?
Hoochie [10]
Here you have to find which each variable is, for this you start of picking one equation,

x + 2y + 6z = 4
-3x + 2y - 2 = -4
4x + 2z = 16

depending the equation you pick you multiply that by a certain number that will give you the opposite of one of the other equations,
-1(x + 2y + 6z = 4)
= -x -2y - 6z = -4

With this you add or subtract it with the equation that has the same number or variable, or both,
In this case it will be the equation,
-3x + 2y + 6z = 4
You can use this one or the third equation since both have a positive 2y which will cancel with -2y from the new equation,
-x - 2y - 6z = -4
-3x + 2y -z = -4

= -4x -7z = -8
Now you since you just eliminated the variable (y) you now have 2 variables, and the last equation has only 2 variables, meaning now you find the answer to those to equations,

-4x -7z = -8
4x + 2z = 16

= -5z = 8
Now leave the variable by itself,
z = 8/5
Now you found the variable (z), with this just substitute on one of the equations we used to find (z) so you can find (x), after that substitute those answered to on of the original equations so you can find (y)




6 0
2 years ago
Find the value of x.
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Answer:

x = 19

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7) = 180

5x+4+x-2+3x+7 = 180

9x+9 = 180

9x = 171

x = 171/9

x = 19

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2 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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