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3241004551 [841]
3 years ago
8

emma has 15 cookies and eats 2 cookies per day.evan has 45 cookies and eats 8 each day .how would you wrute and solve an equatio

n to figure out after how many days they will have the same number of cookies
Mathematics
1 answer:
Papessa [141]3 years ago
8 0
Lets say cookies = x and days = y.

2x times y = 15.

8x times y = 45.


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1
Bogdan [553]

Answer:

3 gallons of orange juice

8 0
3 years ago
Read 2 more answers
What is the sum of the first 20 terms of the arithmetic sequence shown? \displaystyle \frac{1}{3} 3 1 ​ , \displaystyle \frac{2}
Murrr4er [49]

Answer:

70

Step-by-step explanation:

a_1 = First term = \dfrac{1}{3}

d = Common difference = \dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}

n = Number of terms = 20

Sum of arithmetic progression is given by

S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70

The sum of the first 20 terms of the arithmetic sequence is 70.

5 0
3 years ago
Question 3 of 10
MrMuchimi

Answer:

The point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

Step-by-step explanation:

We know the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - (-4) = 4(x - (-3))

y + 4 = 4(x+3)

Therefore, the point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

  • The graph of the line is also attached.

6 0
3 years ago
What is 10/15 the same as
igomit [66]
If you simplify it, it would be that same as 2/3.
5 0
3 years ago
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Anit [1.1K]

For proportionality constant problems, set up the equation as,

x=Ky,

Where x and y are the two variables you are comparing and <em>K </em>is the proportionality constant. If we take <em>Caramel Corn  </em>values as x and <em>Cheddar Corn </em>values as y, and then solve for <em>K </em>for each ratio lines, we will get the same answer. Let's check.

15=K(10)\\K=\frac{15}{10}= \frac{3}{2},

30=K(20)\\K=\frac{30}{20}= \frac{3}{2}, and

45=K(30)\\K=\frac{45}{30}= \frac{3}{2}.

Hence, the proportionality constant, in this case <em>K,</em> is equal to \frac{3}{2} or 1.5. First answer choice is correct.


ANSWER: 1.5


4 0
3 years ago
Read 2 more answers
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