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Likurg_2 [28]
2 years ago
11

Pencils come in boxes of 10. How many boxes should Erika buy if she needs 127 pencils?

Mathematics
1 answer:
matrenka [14]2 years ago
5 0
She'll need 13 boxes! 10 divided by 127 is 12 and there's  a remainder of 7. so seven crayons will fill the 13th box :)
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Consider the diagram and proof by contradiction.
uranmaximum [27]
The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that<span> if one side of a triangle is longer than another side, then the angle opposite the longer side will have a greater degree measure than the angle opposite the shorter side.

The converse to the </span>Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than another angle, then the side opposite the greater angle will be longer than the side opposite the smaller angle.

Thus, from the proof if AB > AC, then m∠C > m∠B by the <span>converse of the triangle parts relationship theorem</span>.

5 0
2 years ago
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What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.
miskamm [114]
Keep in mind its been a while since i did this type of work lol.....

did you try to draw it out on a grid paper....what will be helpful is if you got the coordinates and put the points down and then if you connect the dots you get your shape now you will count the unis in which the width and length is timed. so like if you had grid and it gave you coordinates and you did all that now you will count how many units is in the width and how many in the length. 
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3 0
2 years ago
8.5b−3.4∙(13a−3.2b)+a
Nesterboy [21]

Answer:

8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a

Step-by-step explanation:

It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.

8.5b - 3.4(13a - 3.2b) + a

= 8.5b - 3.4*13a -3.4*(-3.2b) + a

= 8.5b - 3.4*13a + 3.4*3.2b + a

= 8.5b - 44.2a + 10.88 b + a

Now, only like terms can be added to each other

= (8.5b + 10.9b) + (a - 44.2a)

= 19.4b + (-43.2a)

= 19.4b - 43.2a    

8 0
2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}&#10;\begin{tabular}{ |c |c |c }&#10; x & g(x) \\&#10; -1 & -22 \\&#10; 0 & -20  \\&#10;1 & -18   &#10;\end{tabular}&#10;\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

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Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
2 years ago
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the eatery restaurant has 200 tables on a recent evening there were reservations for one tenth of the table how many tables will
stellarik [79]
X=200/10
x=20

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8 0
2 years ago
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