Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she has a budget of $20 (condition B). The graph represents the constraints on the number of gallons of milk M and yogurt Y Zhao Xue buys. Zhao Xue buys 4 gallons of milk. how many gallons of yogurt can she buy to meet both her constraints? A.) Exactly 2.5 gallons
B.) At least 4 gallons and at most 6.5 gallons
C.) At least 2.5 gallons and at most 4 gallons
D.) Zhao Xue doesn’t have enough money left to buy any yofurt
Zhao Xue wants to buy milk and yogurt. She wants - 1

Answers

Answer 1
Answer:

Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt


Step-by-step explanation:  Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.

From the graph, we can write

Condition A :

M+Y\geq 6.5.

Condition B :

8M+5Y\leq40.

Now, if she buys 4 gallons of milk, the the conditions become

4+Y\geq 6.5~~\Rightarrow Y\geq 2.5,\n\n8* 4+5Y\leq 40~~\Rightarrow Y\leq 1.6.

Here, there will be no solution to these constraints.

Therefore, she does not have enough money left to buy any yogurt.

Thus, the correct option is (D).

Answer 2
Answer:

Answer: exactly 2.5 gallons

This is for khan academy.


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What is 3640 rounded to the nearest hundred

Answers

The answer is 3600 ;)
  3600 is the answer.

The sum of 555 consecutive odd numbers is 135135135.

Answers

I'm guessing you mean to say that sum of 5 consecutive odd numbers is 135. In that case, let x be the first number. Then

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135

5x + 20 = 135

5x = 115

x = 23

So the numbers are 23, 25, 27, 29, and 31.

If you really did mean 555 consecutive odd numbers summing to 135,135,135, the process is the same, but you would find a non-integer solution so that wouldn't be possible.

Answer:

The answer is 25

Step-by-step explanation:

I got this answer on Khan Academy

Hope this helps! :)

Solve for L: d=LM/R2+R1

Answers

d=LM/(R2+R1)
d(R2+R1)=LM
[
d(R2+R1)]/M=L

Answer:

Given the equation:  d = (LM)/(R_2+R_1)      .....[1]

Cross multiply states that an equation of fractions when each of the side consists of a fraction with a single denominator by multiplying the numerator of each side by the denominator of the other side and equating these two products obtained.

Apply the cross multiply in [1], we get;

d(R_2 +R_1) = LM

Divide both sides by M  we get;

L = (d(R_2+R_1))/(M)

or

L = (dR_2+dR_1)/(M)

If x=square root of 6 and y^2=12 then 4/xy=

Answers

y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!
x = root(6)
y = root(12)
4/(root(6)*root(12)) = 4/root(72)     multiply top and bottom by root(72)
4root(72)/72 =root(72)/18
root(72) = root(6^2 * 2) = 6root(2)
6root(2)/18 = root(2)/3
final answer root(2)/3

If g(x) =x2 + 2 find g(3)

Answers

Hey there! :)

Answer:

g(3) = 11.

Step-by-step explanation:

Given g(x) = x² + 2

Plug '3' into 'x' to solve for g(3):

g(3) = (3)² + 2

g(3) = 9 + 2

g(3) = 11.

Answer: g(3)=8

Step-by-step explanation:

If g(x)=x2+2 and you wish to find g(3), you simply sub in the 3 from g(3) into the x from the original equation, making it g(3)=3x2+2. 3 times 2 is 6, plus 2 equals 8.

For every 15 students on a field trip, there needs to be one teacher. What is minimum number of teachers needed for a group of 100 students? Write your answer as an inequality, then explain in words why you know your answer is correct.

Answers

Answer:

7 teachers

Step-by-step explanation:

you decide 100 by 15 which equals 6.7 since you can't have half a teacher you round it to 7 teachers.

Answer:

The minimum number of teachers needed is 6

Step-by-step explanation:

To find minimum number of teachers we have to divide 100 and 15 so the answer is 6.666.....but if we

multiply 6 and 15 we get 90 , so it means that 6 teachers can only provide for 90 students , unfortunately there are 100

students , so we need 1 more teacher for the rest ten students that's why the answer came in decimal point . so the answer could be 6.66 or 7 .