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gogolik [260]
2 years ago
5

Colton has 16 blue marbles and 8 white ones.if he wants to place them in identical groups without any marbles left over what is

the greatest number of groups colton can make
Mathematics
1 answer:
Hunter-Best [27]2 years ago
6 0
For blue marbles:
16 = 8 * 2  ( 8 groups with 2 marbles in everyone of them )
For white marbles:
8 = 4 * 2 ( 4 groups with 2 )
8 + 4 = 12
Answer:
The greatest number of groups Colton can make is 12.
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6 is yes because they have the same angles and lengths while 7 is no because the angles are not the same
8 0
1 year ago
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to
Karo-lina-s [1.5K]
<h2>Hello!</h2>

The answers are:

- Length

length=2width=12feet

- Width

width=6feet

- Area

Area=72feet^{2}

<h2>Why?</h2>

We are given the perimeter of a rectangular mat, and we are asked to find the area, and write an equation to determine the length, if feet, of the mat. To solve this problem we need to remember the equation of the perimeter of a rectangle, which is:

Perimeter=2length+2width

Using the given information we have,

36feet=2length+2width

Also, we know that the length is twice the width, so:

length=2width

Then, substituting the second equation into the first equation, we can find the width of the mat.

Substituting, we have:

36feet=2(2width)+2width

36feet=4width+2width

36feet=6width

[tex]\frac{36feet}{6} =width\\width=\frac{36feet}{6} =6feet[/tex]

Then, substituting the width into the second equation, we can find the length of the mat,

Substituting, we have:

length=2width

length=2(6feet)=12feet

Then, finding the area, we have:

A=length*width=12feet*6feet=72feet^{2}

Have a nice day!

7 0
2 years ago
Suppose you have a rectangular shipping box that measures 30 cm × 15 cm × 20 cm. What is the longest length of a 1 cm diameter w
atroni [7]
The longest length of dowel will feet in the dimension that will give us the highest length of the hypotenuse;
given that the dimension of our box is:
15 by 20 by 30:
this will be given by:
c^2=a^2+b^2+c^2
c^2=15^2+20^2+30^2
c^2=225+400+900
c^2=1525
c=√1525
c=39.05 cm
Therefore the longest dowel will be 39 cm (to the nearest whole centimeter)<span />
7 0
1 year ago
Read 2 more answers
Which is the graph of f(x) = (x + 3)(x – 2)? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a
amm1812

Answer:

On a coordinate plane, a parabola opens up

It goes through (negative 3, 0), has a vertex at (negative 0.5, negative 6.25), and goes through (2, 0).

Step-by-step explanation:

f(x) = (x + 3)(x – 2)

We know that parabola opens up since the x^2 term is be positive

it has zeros at  x=-3 and x=2  

x+3 =0  and x-2 =0   from the zero product property

The vertex is  halfway between the zeros

(-3+2)/2 = -1/2

x=-1/2

f(-1/2) = (-1/2+3) (-1/2-2) = 2.5 * -2.5 =-6.25

The vertex is (-1/2, -6.25)

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7844=7400(1+(8/12)r)
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