Answer:
The population in 2039 would be;
<em>Note</em><em>: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
Explanation:
Given that the population in 2019 was;
And the population in 2020 was;
The population growth can be modeled with a linear equation;
The slope m is given as;
And b would be the value of y at x=0.
where x is the number of years after 2019;
the model can then be written as;
At year 2039, x would be;
substituting the value of x into the model;
Therefore, the population in 2039 would be;
<em>Note: this value can be confirmed by using the spreadsheet to extrapolate values.</em>
The answer is 1.22. Are you not allowed to use a calculator or you need a full solution?
Answer: Game land sells 20 crayons for 5 cents less.
Step-by-step explanation:
Hi, to answer this question we have to calculate the price per crayon in each store, by dividing the amount paid in each case by the number of crayons that each store offers.
Toy world (T): 25/4 = 6.25 cents per crayon
Game land (G): 30/5 = 6 cents per crayon
Now, we have to multiply the cost per crayon by 20.
T=6.25 x 20 = 125 cents
G=6 x 20 =120 cents
So, comparing both costs, Game land sells 20 crayons for 5 cents less.
125-120 = 5 cents
Answer:
27 purple marbles
Step-by-step explanation:
Let p = purple marbles
r= red marbles
p = 5r-8
p+r = 34
Replace p in the second equation with 5r-8 from the first equation
p+r = 34
5r-8 +r = 34
Combine like terms
6r -8 = 34
Add 8 to each side
6r-8+8 = 34+8
6r = 42
Divide each side by 6
6r/6 = 42/6
r= 7
We want to find p
p+r = 34
p+7 = 34
Subtract 7 from each side
p+7-7 = 34-7
p =27
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
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