Answer:
A. R = -18t + 1,820
B. 1,568 billions of barrels
C. approximately 101.11 years
Step-by-step explanation:
To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:
R = -18t + 1,820
We can use this equation to answer Part B.
Replace the t with 14:
R = -18(14) + 1,820
Now solve for R:
R = -18(14) + 1,820
R = -252 + 1,820
R = 1,568
14 years from now, there will be 1,568 billions of barrels left.
To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:
0 = -18t + 1,820
Subtract 1,820 from both sides to isolate -18t:
0 - 1,820 = -18t + 1,820 - 1,820
-1,820 = -18t
Divide both sides by -18 to isolate the t:
-1,820/-18 = -18t/-18
101.11 = t
After approximately 101.11 years, all of the oil will be used up.
I NEED HELP ASAP!!! IM BAD AT MATH
The linear equation c = 0.1998s + 76.4520 models the number of calories, c, in a beef hot dog as a function of the amount of sodium s, in milligrams, in the hot dog. What is the slope, and what does it mean in this context?
Answer:
The slope of the linear equation is 0.1998, and it means that the calories in a beef hot dog is increasing with the rate of 0.1998 calories per milligram of sodium.
Step-by-step explanation:
Using y = mx + b, we know that m represents the slope.Looking at the equation of c = 0.1998s + 76.4520, our m is equal to 0.1998.This slope means that the rate is increasing by 0.1998 calories for every milligram of sodium.If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?
Answer:
1.5
Step-by-step explanation:
Which of the following situations could be described by the expression m – 1.85?
Rosalita ran 1.85 miles yesterday, and m miles farther today.
Rosalita ran m miles yesterday, and 1.85 miles fewer today.
Rosalita ran 1.85 miles yesterday, and m miles fewer today.
Rosalita ran m miles yesterday, and 1.85 miles farther today.
Answer:
Rosalita ran m miles yesterday, and 1.85 miles fewer today.
Step-by-step explanation:
The expression m - 1.85 is used to find how many miles Rosalita ran today. If she ran 1.85 miles less than yesterday, m, to find today's miles you would subtract 1.85 from m, which the expression does. The only scenario that makes sense is that Rosalita ran m miles yesterday and ran 1.85 fewer miles today.
Hope this helps :)
Lauren goes to the exhibition. She purchased some wooden antiques for $70. She purchases a table for $44 and 2 chairs. Each of the chairs costs the same price. Write an equation representing the cost of the antiques and determine the price of one chair.
Equation:
One Chair:
Answer:
Equation: 44+2x=70
One chair: $13
Step-by-step explanation:
verifying identity plz helpp!
cos(x+y) + cos(x-y) = 2cosx cosy
Answer:
2cosx cosy = 2cosx cosy
Step-by-step explanation:
cos(x+y) + cos(x-y) = 2cosx cosy
Use the formula for "Functions of the sum of two angles" and the "Function of the Difference of Two Angles" and substitute that in.
(Cosx cosy - sinx siny) + (cosx cosy + sinx siny)
Drop the parentheses
Cosx cosy - sinx siny + cosx cosy + sinx siny
Sinx siny can cancel
Cosx cosy + cosx cosy
This can be simplified to
2cosx cosy
order 6 9/10 6 19/80 6 3/4 least you greatest
Answer:
6 9/10, 6 3/4, 6 19/80
Step-by-step explanation:
it is the ordre r r my duuuud
A line passes through the point (-2,3) and has a slope of 5/2
Write an equation in SLOPE-INTERCEPT form for this line.
Answer:
y = 5/2x + b
3= 5/2(-2) + b
3= -5 + b
3 + 5 = b
b = 8
y = 5/2x + 8
The equation in slope-intercept form is y= 5/2x + 8.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Slope = 5/2
and, point (-2, 3).
Using Slope- intercept form
y = mx + b
y= 5/2x + b
As, the line passes through (-2, 3)
3 = 5/2(-2) + b
3 = -5 + b
b= 8
So, the Equation of line is y= 5/2x + 8.
Learn more about slope here:
https://brainly.com/question/3605446
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Two lengths are in the ratio 2:5. The second length is 75 cm. Find the first length.
Answer:
30 cm
Step-by-step explanation:
2 * 15: 5 * 15
30:75
hello i need your help againnnn
Answer: -3 :)
Step-by-step explanation:
Please help me and I’ll give you brainiest make sure to explain :)
Answer:
y = -2/3x -5
Step-by-step explanation:
First, let's fill in our equation of y = mx + b
(6, -9) is the coordinate we will be subsituting
If the equation that s to the one we are solving we must turn its slope into it's negative reciprocal, which would go from 3/2 to -2/3
Now let's substitute and solve
y = mx + b
(-9) = -2/3(6) + b
-9 = -4 +b
+4 +4
-5 = b
Now we create the equation
y = -2/3x -5
Which of the following expressions is NOT a perfect square trinomial?
Answer:
2
Step-by-step explanation:
what is this answer bro and girl.
Answer:
whats the rest of the picture say, i cant tell
Step-by-step explanation:
please retake the photo so i can help u
raised the points, please please help me out
Answer:
Where is the question?
Ramon drove 425 miles on 15 1/2 of gas. How many miles per gallon did he drive?
Answer: If half a gallon is 15 then just multiply 15 with 2.
Step-by-step explanation:
Answer:
He drove 27[tex]\frac{13}{31}[/tex] miles per gallon.
Step-by-step explanation:
15[tex]\frac{1}{2}[/tex] gas = 425 miles
[tex]\frac{31}{2}[/tex] gas = 425 miles
31 gas = 425 × 2
= 850 miles
1 gallon = 850 miles ÷ 31
1 gallon = 27[tex]\frac{13}{31}[/tex] miles
There are 7 girls in a bus. Each has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 little cats. How many legs are there in the bus?
Answer:
10,990 legs
Step-by-step explanation:
There are 7 girls in the bus
= 7 × 2 = 14 legs
Each bag pack there are 7 big cats
= 7 × 7 × 7 × 4= 1372 legs
For every big cats there are 7 small cars
= 7×7×7×7×4= 9,604 cats
Therefore the total legs in the bus can be calculated as follows
= 14 +1372+9604
= 10,990 legs
Hence there are 10,990 legs in the bus
Please help I will mark brainliest
Find the measures of the sides of triangle JKL, then classify it by its sides J(-3, 2), K(2,6), L(8, -1)
Given:
The vertices of the triangle JKL are J(-3, 2), K(2,6), L(8, -1).
To find:
The measures of the sides of triangle JKL and classify it by its sides.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]JK=\sqrt{(2-(-3))^2+(6-2)^2}[/tex]
[tex]JK=\sqrt{(2+3)^2+(4)^2}[/tex]
[tex]JK=\sqrt{(5)^2+(4)^2}[/tex]
[tex]JK=\sqrt{25+16}[/tex]
[tex]JK=\sqrt{41}[/tex]
Similarly,
[tex]KL=\sqrt{\left(8-2\right)^2+\left(-1-6\right)^2}=\sqrt{85}[/tex]
[tex]JL=\sqrt{\left(8-\left(-3\right)\right)^2+\left(-1-2\right)^2}=\sqrt{130}[/tex]
Now,
[tex]JK^2+KL^2=(\sqrt{41})^2+(\sqrt{85})^2[/tex]
[tex]JK^2+KL^2=41+85[/tex]
[tex]JK^2+KL^2=126[/tex]
[tex]JK^2+KL^2\neq JL^2[/tex]
Since, measure of all sides are different and sum of squares of two smaller sides is not equal to the square of largest side, therefore the triangle is scalene triangle.
what is 7 to the power of -2 divided by 1
Answer:
-49
Step-by-step explanation:
Hope this helps
PLZZ MARK BRAINLIEST
what are the x and y intercepts of the graph of -7x+4y=-14
Answer:
The answer is (2, -7/2)
1.does the table below represent s proportional relationship?_____ 2. if r is the constant of proportionality,what will be the equation y=rx for this relationship
Answer:
tyuiiiiiittghh gf dssddddddddd
Show the next three fractions equivalent to 12 in the list.
12, −1−2, −3−6, . . .
A.
−510, −714, −918
B.
−48, −510, −612
C.
−5−10, −7−14, −9−18
D.
−4−8, −5−10, −6−12
Answer:
its c not sure
Step-by-step explanation:
help please! True or False: all cells have a cell membrane.
Answer:
true
Step-by-step explanation:all cells have a cell membrane but not all have cell walls
Veronica works each day and earns more money per hour the longer she works. Write a function to represent a starting pay of $20 with an increase each hour by 5%. Determine the range of the amount Veronica makes each hour if she can only work a total of 8 hours.
20 ≤ f(x) ≤ 28.14
20 ≤ f(x) ≤ 29.55
20 ≤ f(x) ≤ 26.80
20 ≤ f(x) ≤ 25.53
Answer:
f(x) = 20(1.05)^x
Step-by-step explanation:
f(x) = 20(1.05)^x where x is the hours worked.
If she works 8 hours she will earn 20(1.05)^8
= $29.55.
The range of the amount per hour is 20 to 29.55 dollars.
Which of the following is not a polynomial?
0.92 – 0.19 = 0.73
0.73 + 0.19 = 0.92
1.00 – 0.19 = 0.73
1.00 + 0.73 = 1.73
need awners
Answer
B is the answer
PLEASE MARK BRAINLIESTMrs. Nevin is making a costume for a school play. She needs a piece of fabric that is greater than 1/2 of a yard but less than 5/8 of a yard. Which length of fabric listed below could she use? 3/8 yard 4/7 yard 3/7 yard 2/4 yard thx so much you guys are underrated
Answer:
4/7 yards
Step-by-step explanation:
Given that :
Required fabric is > 1/2 but < 5/8
Let required fabric = x
Then ;
Converting the fractions to decimal :
1/2 = 0.5 ; 5/8 = 0.625
0.5 < x < 0.625
3/8 yards = 0.375 ;
4/7 yards = 0.571
3/7 yards = 0.429
2/4 yards = 0.5
0.5 < 0.571 < 0.625
From the options, only 4/7 yards satisfies the condition :
Zoe and Josiah are both selling cookie dough for a fundraiser. Although Zoe has already sold 12 tubs, Josiah hasn't sold any yet. If Zoe starts selling 2 tubs per day and Josiah begins selling 4 tubs per day, they will eventually sell the same amount of cookie dough.
Answer:
6 days
Step-by-step explanation:
Given
Zoe
Sold out = 12
Rate = 2 daily
Josiah
Sold out = 0
Rate = 4 daily
Required
Determine when they sell the same number of tubs
Represent days with d
The number of tubs sold in any give day can be calculated using:
Tubs = Sold out + Rate * Number of days
For Zoe:
Expression: 12 + 2 * d
Expression: 12 + 2d
For Josiah
Expression: 0 + 4 * d
Expression: 4 * d
Expression: 4d
Next, we equate both expressions to get the number of days
4d = 12 + 2d
Collect like terms
4d - 2d = 12
2d = 12
Solve for d
d = 12/2
d = 6
Hence, it'll take 6 days
A man's annual salary is $45000. His tax free allowance total was $13000. He pays tax of 35% on his taxable income. The tax payable is?
450000- 13000= 32000
32000×(35/100) = 11200
Complete the point-slope equation of the line through ( 6 , 4 ) and (7, 2)