A drawer has some red, green, and blue marbles. There are 33 marbles.There are 4 times as many red marbles as green marbles. There are half
as many blue marbles as green marbles. How many blue marbles are in
the drawer?
Answers
There are 4 times as many red marbles as green marbles, so red marbles = 4x.
There are half as many blue marbles as green marbles, so blue marbles = 0.5x
There are 33 marbles in total, so x+4x+0.5x=33.
There are 3 blue marbles.
number of green is represented by g
number of blue is represented by b
so r+g+b=33
there are 4 times as many red as green or
r=4g
there are half as many blue as green
1/2g=b or g=2b
so r+g+b=33
we can subsitute 1/2g=b for b
r+g+1/2g=33
subsitute r=4g for r in the equation
4g+g+1/2g=33
add like terms
5 1/2g=33
multiply both sides by 2
11g=66
divide both sides by 11
g=6
there are 6 green marbles
subsitute g=6 into r=4g and g=2b
r=4(6)
r=24
there are 24 red marbles
g=2b
6=2b
divide both sides by 2
3=b
threre are 3 blue marbles
there are 24 red marbles, 6 green marbles, and 3 blue marbles and 24+6+3=33
r=24
g=6
b=3
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Lorraine works at a gift shop. She buys 500 accessories at $1.25 each. She resells them all to make a profit of $375.00.What percent does she mark up the price of each accessory?
Is 1200 millimeters greater than 12 meters
After earning interest, the balance of an account is $420. The new balance is 7/6bof the original balance. Write an equation that can be used to find the original balance b of the account.
Solving for systems: {y=3x+7 & y=5x-7
Answers
y = 5x-7
Now, we know that y = y
thus,
3x + 7 = 5x-7
3x - 5x = -7 -7
= -2x = -14
thus, -x = -14/-2
thus, x = 7.
Substituting for y,
y = 3x + 7
= 3 x 7 + 7
= 28.
Thus, x = 7, y =28
Answers
Answers
add all the quarts...
8+5+5=18
There are 18 quarts.
Now for 1 quart= 4 cups
So take 18*4=72
Thus, Krystal can serve 72 cups worth of soup to her guests.
Answers
Answer:
The answer is 4/20
Step-by-step explanation:
To find the percent of a number, you have to multiply the percent in its decimal form by the number.
.20 x 20 = 4
Explanation: 4/20 is equal to 0.2
Answers
The correct answer is option B.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
A dilation with a scale factor less than 1 and then a reflection
To this point, we've encountered four kinds of symmetry:
Reflection, rotation, translation, and glide-reflection.
These symmetries are rigid motions as a result of they move a figure whereas conserving its size and shape.
All transformations are isometric. Dilation may be a non-isometric transformation. A stretch isn't a similarity transformation.
Dilations, rotations, reflections, and translations are all similar transformations. Since rotation, reflection, and translation are rigid motions, they preserve each size and shape, whereas dilation solely ensures that the form is preserved.
the multiplier is outlined as the magnitude relation of the dimensions of the new image to the size of the previous image.
the middle of dilation may be a mounted purpose within the plane.
supported the dimensions issue and therefore the centre of dilation, the dilation transformation is defined.
Learn more about the triangle visit;
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The complete question is :
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation
Answer:
Hey there!
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is .
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be B, "a dilation with a scale factor of and then a translation."
Answers
Answer:
sub 5 25 - 5 = 20
-5/2a=20
mult 2 by each side to get rid of fraction
-5a=40
divide -5 from 40
a=-8
Answer:
The answer is 8
Step-by-step explanation:
-5/2 x 8= 20 and if you add 5 it is 25.