Answer:
The two numbers are -164 and -287
They could also be 164 and 287
Step-by-step explanation:
The ratio of 2 numbers 4/7
x/y = 4/7
Using cross products
7x =4y
Their difference is 123
x-y = 123
x = 123+y
Substituting in
7(123+y) =4y
Distribute
861 +7y = 4y
Subtract 7y from each side
861 +7y-7y = 4y-7y
861 = -3y
Divide each side by -3
861/-3 = -3y/-3
-287 = y
Now we need to find x
x = 123+y
x = 123+ -287
x = -164
The numbers could also be 164 and 287
The difference is 287-164 = 123
And the ratio is 164/287 = 4/7
Answer:
A. 36
B. 3.5
Step-by-step explanation:
To solve for the first equation, we could represent the hot dogs as h(1.75-.50), since they are losing .50 cents for each hot dog, <em>h,</em> they make.
Since they want to know how many hot dogs they have to sell to equal the amount of money they spent, we can represent it as an equal sign.
Now all we have to do is add the constants. Add 12 to our overall equation and subtract 57, since the <u>received</u> $12 in donations and <u>lost</u> $57.
Our equation is 12+h1.75=57+.5h We can just put all of the negative numbers on one side and the positive numbers on the other to find out when they will be equal.
First, subtract 12 from 57.
h1.75=45+.5h
Now subtract .5h from both sides.
h1.25=45
Finally, divide both sides by 1.25.
h=36.
They will have to sell 36 hot dogs.
If they want to sell halve the hotdogs for the same price, simply multiply the current price by 2.
The hotdogs will have to cost $3.5.
Hope this helps!
Answer:
A. A horizontal angle measured clockwise from a north base line
Step-by-step explanation:
A horizontal angle measured clockwise from a north base line
Answer:
h less-than 2
Step-by-step explanation:
Let
h ---> the number of hours
y ---> the total charge in dollars
we know that
The linear equation is slope intercept form is equal to

where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
we have
<em>Grayson</em>
The slope is equal to 
The y-intercept is 
so
The total charge is equal to
----> equation A
<em>Ian</em>
The slope is equal to 
The y-intercept is 
so
The total charge is equal to
----> equation B
For what number of hours does Grayson charge more than Ian?
The inequality that represent this situation is

solve for x
Group terms


Divide by 10 both sides

Rewrite the expression
----> h less than 2 hours
Answer:
5/26.
If you count y as a vowel it is 3/13
Step-by-step explanation: