Answer:
18cm
Step-by-step explanation:
Given:
- The length of AB is 9 centimeters
- A dilation with a scale factor of 2
The length of the image AB after the dilation is applied:
9 x 2 = 18
dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size
The Answer is x = 6
Tell me if I’m right ?
x is case of almonds and y is case of walnuts.
Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.
H-E-B orders no more than 200 bags of almonds and walnuts at a time.
So,
x + y < 200
where x and y refers to the number of bags
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H-E-B pays $24 per case of almonds and $27 per case of walnuts, but will not order more than $300 total at any one time.
But keep in mind that : Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.
So,
24 * (x/15) + 27 * (y/17) < 300
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The constraints are:
x + y < 200
(24/15) x + (27/17) y < 300
So, the graph of the previous constraints is as following :
If you need an equation it is -3.4x=21.5
You simply divide both sides by -3.4 to get x=-6.32
if that's not right then just get on a calculator and calculate by doing what I said to divide
Answer:
= 29.82 yards/second
Step-by-step explanation:
The speed is given in the problem. We just need to convert its units. The multiplicative identity (that is, 1) may be used to change the units without changing the value. (note: do you know what the additive identity is?)
61 miles per hour
(61 miles) / (1 hour)
(61 miles)/(1 hour)*1
((61 miles)/(1 hour))*((5280 feet)/(1 mile))
((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))
note: miles, feet, hours, minutes cancel out; leaving yards per second
(61/1)*(5280/1)*(1/3)*(1/60)*(1/60) yards/second (note: I write that way to paste into Excel)
