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Ede4ka [16]
3 years ago
6

To make lemonade, Kate uses 1 cup of lemon juice and 2 cups sugar. If she makes a larger amount of lemonade with 10 cups of suga

r, how many cups of lemon juice does she need?
Mathematics
2 answers:
enot [183]3 years ago
6 0

Answer:

5 is the answer hope this helps!

Step-by-step explanation:

juin [17]3 years ago
5 0
For this problem, I will use diagram.
First if all, we know that Kate used 1 cup of lemon juice and 2 cups sugar, so we have this:
1 cup of lemon juice=2 cups sugar
Then, the problem asked to find how many cups of lemon juice does Kate needs with 10 cups of sugar, and now we have have the complete tree diagram

1 cup of lemon juice= 2 cups of sugar
?cups of lemon juice=10 cups of sugar
Step 1:
Use cross multiply
10×1=10
Step 2:
Use division
10÷2=5
As a result, Kate will need 5 cups of lemon juice with 10 cups sugar
But there is another way to find the answer, too. If you curious, here is the second way:
The ratio between cup of sugar/cup of lemon juice, so
2 cups of sugar/1 cup of lemon juice. In conclusion, Kate use double amount of sugar than lemon juice, so the question asked us to find how many cups of lemon juice does Kate needs with 10 cups sugar. To find the answer, take 10÷2=5 cups of lemon of juice is your final answer. Hope it help!
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How would i solve Simplify. -6(x-3)-4(y+5)+(-5)(7-2b) because i had it ona test and put it in wolfram alpha but for the first ti
Alexeev081 [22]

The distributive properties applies every time you want to multiply a whole parenthesis by a number.

As the name suggests, you "distribute" the number to all terms in the parenthesis: you perform as many multiplication as many terms in the parenthesis.

So, for example, we begin with

-6(x-3)

So, we multiply -6 times both terms in the parenthesis, and sum the results:

-6(x-3) = -6\cdot x + (-6)\cdot(-3) = -6x+18

And so on with the other terms:

-4(y+5) = -4\cdot y + (-4)\cdot5 = -4y-20

(-5)(7-2b) = -5\cdot 7 + (-5)\cdot(-2b) = -35+10b

Now sum all the pieces together:

-6(x-3)-4(y+5)+(-5)(7-2b) = -6x+18 + (-4y-20) + (-35+10b) = -6x-4y+10b + 18 - 20 - 35 =-6x-4y+10b -37

3 0
4 years ago
Read 2 more answers
A patient receives 150 cc of medication in an IV drip over 4 hours. What is the rate per hour of this dose?
cupoosta [38]
The average rate is 150 cc/4 hrs=37.5 cc per hour.
6 0
3 years ago
Read 2 more answers
A two-variable inequality is shown in the graph.
sammy [17]

The point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

<h3>How to graph the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

A two-variable inequality is shown in the graph. It is a parabola.  The vertex form of parabola is the equation form of quadratic equation which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

y=a(x-h)^2+k

Here, (h, k) is the vertex point. In the graph, vertex points are (1,2). Thus, the equation become,

y=a(x-1)^2+2\\

By the point of graph (0,3), find the value of a,

3=a(0-1)^2+2\\3=a+2\\a=3-2\\a=1

Thus, the equation become,

y=1(x-1)^2+2\\y=x^2-2x+1+2\\y=x^2-2x+3\\

The graph of this line is attached below. In this graph only point (-1,3), does not fall hence, does not satisfy the equation.

Thus, the point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

Learn more about the graph of the inequality here;

brainly.com/question/62792

#SPJ1

5 0
2 years ago
Math question down below
larisa86 [58]
34 because u new to do the math
8 0
4 years ago
When it was 70 degrees outside, 50 members showed up at the beach club. for each degree temperature rose, another 10 members cam
stellarik [79]

Answer:

f(t)=50+10(t-70)

Step-by-step explanation:

Let the outside temperature be t degree.

So, when t=70 degree, number of members, f(t)=50

Now, for every degree rise in temperature, 10 members gets added.

So, when the temperature is t degrees, rise in temperature is (t-70) degrees.

Therefore,

For (t-70) degrees rise, number of members added = 10(t-70)

Hence, total number of members added as a function of temperature is given as the sum of members at t= 70 degrees and for (t-70) degrees rise. This gives,

f(t)=50+10(t-70)

8 0
3 years ago
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