Answer:
y = 3/5 x+3
Step-by-step explanation:
two points on the graph
(-5,0) (0,3)
the y intercept is 3 (this is where it crosses the y axis)
the slope is
change in y 0 to 3 up 3
------------------ = -------------- = ------- = 3/5
change in x -5 to 0 right 5
we can tell the slope is positive because it goes from bottom left to top right
a negative slope goes from top left to bottom right
slope intercept form is
y=mx+b
y = 3/5 x+3
Simplify 5/15: the numerator and denominator are both multiples of 5, so the fraction can be reduced to 1/3 by dividing the top & bottom by 5. 5/15 of a rectangle is the same as 1/3 of a rectangle.
Compare 1/2 and 5/7:
The simplest way is to ask if 5/7 is more than one half. Half of 7 is 3.5, and 5 is greater than 3.5, so 1/2 < 5/7.
The way that is a little more work is to get a common denominator and make equivalent fractions of 7/14 and 10/14.
Fraction to decimal of 4/5. 4 divided by 5 = 0.8
Decimal to fraction, 0.78:
0.78 = 78 hundredths = 78/100 as a fraction. They usually want fractions in the lowest terms, so divide the numerator and denominator by two, and you have 39/50.
Mixed to improper fraction 5 2/9: multiply the denominator of 9 times the whole number of 5, that equals 45. Add the 2 in the numerator, that is 47. Keep that over 9, because we are trying to figure out how many ninths we have. 5 2/9 = 47/9
Add ‘em 3/5 + 1/2:
Make equivalent fractions with a common denominator. (10 is the least/lowest common denominator). So we are adding 6/10 + 5/10 = 11/10 or 1 1/10.
Improper to mixed, 9/4:
We have 9 fourths. 4 fourths = 1 whole. So we get 2 wholes with 1/4 left over. 9/4 = 2 1/4.
Subtract ‘em, 3/10 - 1/5.
Again, need a common denominator/equivalent fraction. 1/5 = 2/10
3/10 - 2/10 = 1/10
Draw it, 1/3:
The circle is already divided into thirds. Shade one of them in.
Multiply ‘em 2/3 x 5:
Multiply the numerator times the whole number, leave the denominator alone. 2/3 x 5 = 10/3 = 3 1/3 if they want it converted to a mixed number.
Divide ‘em: 8/9 divided by 3 is 8/27
What’s the word?
4 x 1/2 = 2 (what is one half of 4?)
Word up:
3/5 divided by 3 = 1/5
Your grade? 14/14 = 100%
Please let me know if you have questions. Please mark brainliest if you can :) Thank you!
Answer:
$8.00
Step-by-step explanation:
The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.
__
<h3>setup</h3>
Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...
a - c = 1.50 . . . . . . . adult tickets are $1.50 more
175a +325c = 3512.5 . . . . . total revenue from ticket sales.
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<h3>solution</h3>
We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...
c = a -1.50
Substituting that into the second equation, we have ...
175a +325(a -1.50) = 3512.50
500a -487.50 = 3512.50 . . . . . . simplify
500a = 4000 . . . . . . add 487.50
a = 8 . . . . . . . . . divide by 500
An adult ticket costs $8.
<h2>
Answer:</h2><h2>80%.</h2>
Step-by-step explanation:
Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
