1) Let's first find how many calories a runner burns on 1 km: R=120/1.6= 75 (calories/km)
2) On 5 km he will burn: Calories=5*R=5*75= 375 (calories)
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375 calories he would burn on 5 km.
The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
Answer:
Y is less than or equal to 13
Step-by-step explanation:
Equation: 8p = 12.25
Ounces of food per puppy: Approximately 1.5
Mika has 12.25 ounces of puppy food to feed 8 puppies.
All 8 puppies need the same amount.
So, how many ounces of food will each puppy get?
That's where I come in.
I guess.
To find out how many ounces of food each puppy gets, you must make an equation.
Luckily for you, I've already made an equation of this in my head before I even finished typing this sentence.
You can use my equation if you want.
Equation: 8p = 12.25
Divide both sides by 8 to get approximately (hence I rounded to the nearest tenth) 1.5 ounces of food per puppy.
Now you've got some nice work to show your teacher and you've got the correct answer. Well done.
Lily made $75.36 more than Layla did. If Layla raised her price to $1.00, she would still not make more money than Lily.
Use a proportion to find the number of cupcakes Lily makes in 8 hours. She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):
7/10 = x/480
Cross multiply:
7*480 = 10*x
3360 = 10x
Divide both sides by 10:
3360/10 = 10x/10
336 = x
Lily bakes 336 cupcakes.
She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.
Each cupcake is sold for $1.29; 224(1.29) = 288.96
To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion. We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:
8/12 = x/480
8*480 = 12*x
3840 = 12x
Divide both sides by 12:
3840/12 = 12x/12
320 = x
She bakes 320 cupcakes. She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240
Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60
This means Lily makes 288.96-213.60 = 75.36 more than Layla.
If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
