Answer:
Step-by-step explanation:
So the ratio is 5:4:2
there are 11 parts to this ratio (5+4+2)
the 5 is for the $2, the 4 is for the $1 and the 2 is for the 50 cents
he has 30 of the 50 cents
so you divide 30 by 2 to get one part of this ratio
1 part of this ratio is equal to 15 coins
multiply 15 by 5 to get the number of $2 coins: 75
multiply 15 by 4 to get the number of $1 coins: 60
add all of those parts together
30+60+75 = 165
If he uses a $1 coin to buy the sundae he will have 75 $2 coins and 59 $1 coins left
however, if he uses two 50 cents coins to buy the sundae he will have 75 $2 coins and 60 $1 coins left
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
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Answer:
About 110.6
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
Hope this helps!
Steps
8x−7y=−5
Add 7y to both sides
8x−7y+7y=−5+7y
Simplify
8x=−5+7y
Divide both sides by 8
8x
8 =−
5
8 +
7y
8
Simplify
x=
−5+7y
8
