Answers:
1.) 18 lemons
2.) 80 minutes
Explanation:
Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.
Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.
If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.
For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.
This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).
If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.
Hope this helps :)
Slope is perpendicular to the line that passes (1, 0) & is parallel to y = 3x + 5
We need to first find the slope. Since we're already given an equation, we can simply find it within there :)
We're given an equation in slope intercept form (y = mx + b) so we can simply look in the "m" spot. Therefore, we know that the slope is 3.
Since our slope is perpendicular to the given line, we must find the negative reciprocal of the slope.
A negative reciprocal is simply a number flipped over and then given a negative (or a negative is removed).
An example is here : slope = 8 → negative reciprocal of slope = -1/8
So, our negative reciprocal of "3" is -1/3.
Therefore, our new slope is -1/3.
Now, since it passes through (1, 0) then this is how we are going to find out y-intercept to input it into our new equation.
y = mx + b
Simply plug in everything (including slope and y)
0 = (-1/3)(1) + b
Simplify.
0 = -1/3 + b
Add 1/3 to both sides.
1/3 = b
Therefore, our y-intercept is b.
Now that we have all of the needed variables for our new equation, simply plug everything into an all new equation :)
y = mx + b
y = -1/3x + 1/3
~Hope I helped!~
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
Answer: Hose b has a faster hose rate
please thank this answer!:)
Greg and George bought shoes at a local store. Greg bought one dress shoe and 4 sneakers and spent less than $400.
George bought one dress shoe and 6 sneakers and spent more than $400.
Inequality signs < and > denote less than and greater than respectively.
To solve the above inequalities in order to find x and y prices, a pair of solutions will be the result since linear inequalities with two variables will have a range of solutions
In other words, to find x and y for the inequalities we find a point (x,y) that satisfies the inequality.
Example: if the price of a dress shoe is $80 and the price of a sneaker is $60, it satisfies the system of inequalities for Greg and George since their shoe expenses stay below and above $400 respectively.
We could then say that the point (80,60) is one of the solutions to the inequalities.
We could graph the inequalities in order to find points on the graph that satisfy the inequalities. To graph the inequality we make the equation a linear equation x+4y=400 and plot a straight line in accordance to the inequality. All points above the line satisfy George's inequality and vice versa.
Read more here: brainly.com/question/14399777