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3 years ago

Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she makes?

Mathematics

2 answers:

melisa1 [442]3 years ago

5 0

17 trains of ten cubes

katen-ka-za [31]3 years ago

5 0

She can make 17 trains because 170/10=17.

Hope that helps!!!

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Whats is the product?<br> (3x+y)(x2+2y+4

ipn [44]

Answer:

3 $x^{2}$ +2xy+6xy+12x+4y

Step-by-step explanation:

(3x+y)(x2+2y+4=+2xy+6xy+12x+4y

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3 years ago

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The interior angle sum of a convex polygon is 1,980°.

LenaWriter [7]

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n° = 1980° + 360°

= 2340

To find n, divide by 180 which is the coefficient of n

n = ²³⁴⁰/₁₈₀

= 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

³⁶⁰/n

= ³⁶⁰/₁₃

= 27.69⁰

8 0

3 years ago

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat

Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0

2 years ago

Which statement best describes the area of Triangle ABC shown below?

sergeinik [125]

Answer:

It is one-half the area of a rectangle with sides 4 units × 3 units

Step-by-step explanation:

One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.

The opposite vertex has y-value 5, so is 3 units away from the line y = 2.

The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...

A = (1/2)bh

we find the area to be ...

A = (1/2)×(4 units)×(3 units) . . . . triangle area

A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...

A = (4 units)×(3 units) . . . . rectangle area

Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.

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3 years ago

For each of these relations on the set {21, 22, 23, 24}, decide whether it is reflexive, whether it is symmetric, whether it is

bonufazy [111]

Answer:

Step-by-step explanation:

I. { (22,22) , (22,23) , (22,24) , (23,22) , (23,23) , (23,24) }

Reflexive : True because we see the pairs (22,22) , (23,23)..

Symmetrix : NO, as we see the pairs (22,24) BUT NOT (24,22)

Transitive : YES, As we see (22,22 ) and (22, 24) , we see the pairs (22,24)

Antisymmetric : NO

II){ (21,21) , (21,22) , (22,21) , (22,22) , (23,23) , (24,24) }

Reflexive : True because we see the pairs (22,22) , (23,23) (21,21)

Symmetrix : Yes, as we see the pairs (21,22) AND (22,21)

Transitive : YES,

Antisymmetric : NO

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3 years ago

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