Days in boston=x
days in colorado=1.4x
boston+colorado=2.4x
475=2.4x
475/2.4=2.4x/2.4
198=x
198*1.4=277
days in boston=198
days in colorado=277
198+277=475
Answer:
y > 1/2x - 1
First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).
Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.
Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.
Explanation:
Convert standard form (Ax + By = C) by isolating y from the rest of the equation.
Ax + By = C → y = -Ax/B + C/B → y = mx + b.
Given a standard form equation in inequality form,
x - 2y < 2.
Set it to slope-intercept as an inequality to find the slope and y-intercept.
When negating (making opposite) a variable, you flip the inequality.
x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → <u>y > 1/2x - 1</u><u>.</u>
Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.
Number of cards given by grandfather = 125 cards
Number of cards that will be given by father = 89 cards
Therefore, based on the information given, the equation to describe the situation will be:
c + 125 + 89 = 500
Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:
c + 125 + 89 = 500
c + 214 = 500
c = 500 - 214
c = 286
Therefore, the person needs to collect 286 cards.
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Answer:
It is 1/1536
Step-by-step explanation:
You divide 1/512 by three since it is a cube.
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
