Hello!
You can make two equations based on what you know
x + y = 50
5x + 3y = 190
Subtract y from both sides of the first equation
x = 50 - y
Put x into the second equation
5(50 - y) + 3y = 190
Distribute the 5
250 - 5y + 3y = 190
Combine like terms
250 - 2y = 190
Subtract 250 from both sides
-2y = -60
Divide both sides by -2
y = 30
Put y into the first equation
x + 30 = 50
Subtract 30 from both sides
x = 20
She bought 20 seed corn bags and 30 bags of dog food
Hope this helps!
30 lemon candies he give his friend.
It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.
320 (7/16) = 140 were orange
320 - 140 = 180 were lemon
Let x be the number of lemon ones he gave away
So,
[ 140 - 30 ] / [ 180 - x ] = 11/15
110 = (11/15) ( 180 - x )
(15/11) (110) = 180 - x
150 = 180 - x
x = 180 - 150 = 30
Learn more about word problems here: brainly.com/question/20521181
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Answer:
m∠1 = 92°
Step-by-step explanation:
∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that
m∠2 + m∠3 = 73° +107° = 180°
so, the angles are supplementary and lines a and b are parallel.
Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.
m∠1 = m∠4 = 92°
Answer:
1000 times larger.
Step-by-step explanation:
This sets up as a very commonly used proportion.
90 oz / 18.95 = 1 oz / x Cross multiply
90 x = 18.95 Divide by 90
x = 18.95 / 90
x = 0.21 dollars or 21 cents.
So each ounce of shampoo costs 0.21 dollars or 21 cents.
This is a very handy way to check best deals. Stores have trained us for years to believe that the more we buy of a brand, the better the price. It isn't always true. Sometimes buying the smaller quantity is the better deal. There is only one way to be sure and that's to do a proportion like this one.
Try this is an example. The same company makes a smaller container of shampoo of 45 oz for 9.15. How much is 1 oz and which is the better deal? You should get 0.20333 dollars so this is marginally (just) the better deal.
