U have a solid line...meaning there is an equal sign in the problem
u have a y int of -1 (the y int is where ur line crosses the y axis)
u have a slope of : 1
it is shaded below the line...so it is less then
so ur inequality is : y < = x - 1 <==
<u>ANSWER:
</u>
Zach has 28 dimes and 7 quarters.
<u>SOLUTION:
</u>
Given, Zach has 4 times as many dimes as quarters
And they have a combined value of 455 cents,
We need to find how many of each coins does he have?
Let, the number of dimes be x and number of quarters be y.
Then, x = 4y → (1)
Total combined value = 455 cents
x(value of one dime) + y(value of one quarter) = 455 cents
x(10 cents) + x(25 cents) = 455 cents
10x + 25y = 455 → (2)
Now, substitute (1) in (2)
10(4y) + 25y = 455
40x + 25y = 455
65y = 455
y = 7
substitute y value in (1)
x = 4(7) = 28
Hence, zach has 28 dimes and 7 quarters.
Answer:
<h2>Frank speed = 37mi/h</h2><h2>Gregory speed = 59mi/hr</h2>
Step-by-step explanation:
Let the speed of Frank be x and speed of Gregory be y. If Gregory drives 22 miles per hour faster than Frank, then y = 22+x. SInce they they are 216miles apart after 2.25 hours,
Speed = Distance/Time
Total time travelled by them = 2.25hours
Total distance = 216 hours
Total speed = x+y = x+22+x
Substituting this parameters into the formula given to get x we will have;
x+22+x = 216/2.25
2x+22 = 96
2x = 96-22
2x = 74
x = 74/2
x = 37
<em>Hence the speed of Frank is 37miles per hour while that of gregory is 37+22 = 59miles/hour</em>
Answer:
It will cost $6 to buy enough lemons.
Step-by-step explanation:
Consider the provided information.
To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.
1 cup = 16 tablespoons
1/2 cup = 8 tablespoons
That means we only need 8 tablespoons.
Each lemon yields 2 tablespoons of lemon juice.
Number of lemon required = 8 ÷ 2 = 4
That means we need only 4 lemon.
Store is selling lemons at 2 for $3 that means 4 lemons for $6.
Hence, it will cost $6 to buy enough lemons.
Answer:
true
Step-by-step explanation:
