George went to visit his family in California. While there, he bought a book for $24.00. The city where he bought the book had an 8% sales tax. Find the amount he paid in sales tax on the book.
net amount $24.00 tax at 8% 1.92 gross amount including tax $25.92
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 630 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 100 cubic of feet of fertilizer are applied, the yield will be 900 pounds of strawberries. Use linear interpolation to estimate the yield if 73 cubic feet of fertilizer are applied.
Answer:
657 pounds
Step-by-step explanation:
Given
Represent the amount of fertilizer with x and the yield with y.
So, we have:
[tex](x_1,y_1) = (70,630)[/tex]
[tex](x_2,y_2) = (100,900)[/tex]
Required:
Determine the yield (y) when fertilizer (x) is 73ft^3
Using linear interpolation, we have:
[tex]y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Substitute the x and y values using
[tex](x_1,y_1) = (70,630)[/tex] and [tex](x_2,y_2) = (100,900)[/tex];
We have:
[tex]y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}[/tex]
[tex]y = 630 + (x - 70)\frac{270}{30}[/tex]
[tex]y = 630 + (x - 70)*9[/tex]
Open bracket
[tex]y = 630 + 9x - 630[/tex]
[tex]y = 9x - 630+630[/tex]
[tex]y = 9x[/tex]
To solve for y when x = 73.
We simply substitute 73 for x
[tex]y = 9x[/tex]
[tex]y = 9 * 73[/tex]
[tex]y = 657[/tex]
Hence, the yield for 73 cubic feet is 657 pounds
Solve for x and find NM
Answer:
x = 9, NM = 41
Step-by-step explanation:
Since KL = ML then the triangle is isosceles and LN is a perpendicular bisector, thus
NM = NK , substitute values
7x - 22 = 3x + 14 ( subtract 3x from both sides )
4x - 22 = 14 ( add 22 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Thus
NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41
10 points for correct answer and giving brainliest
Answer:G
G is the correct inequality.
HELP ASAP!! Which representation shows y as a function of x ?
Answer:
It is the first answer
Step-by-step explanation:
For it to be considered a function, each x-value can only corresponds (have) one y-value, however, y-values (even if they are the same y-value) can have multiple different x-values.
8w < 32 can u guys please help me
Answer:
w<4
Step-by-step explanation:
divide both sides by 8. no need to flip the sign because 8 is positive
8/8w<32/8
w<4
Answer:
w>4
Step-by-step explanation:
8w<32
8w/8=w
What you do to one side, do to the other.
32/8=4
w<4
Flip the sign because we divided.
w>4 is your answer
John made $172 last weekend. He worked 11 hours. How much money does John make each hour? *
Answer:
15.63
Step-by-step explanation:
172/11
15.636363...
PLEASE HELP IM GOING TO FAIL!!!
Answer:
D.
Step-by-step explanation:
the slope is going up 1 over 2 and the 1 is the y....hope this helps.
The students at Roosevelt Middle School wear uniforms. They may choose to wear either a navy blue or
white shirt each day. Yesterday, 100 of the 150 eighth-grade students wore blue shirts. What was the ratio of
students wearing blue shirts to students wearing white shirts?
Answer:
the ratio would be 2:3 simplified
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
Pls help me I am d$mb...
Answer:
ur not domb
Step-by-step explanation:
Determine the number of acute, obtuse, and right angles in the shape above
Answer:
2 acute, 1 obtuse, 1 right
4. Select all the expressions that are less than 3,467.
5
A. 3,467 x
B. 3,467 x
C. 3,467 x
D. 3,467 x
E. 3,467 -
2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?
Answer:
The cost of one balloon is 4 dollars
the cost of one cake is 6 dollars
Step-by-step explanation:
The way I did it was by substituting different numbers and seeing if they equaled forty or 26.
my thought process:
1 balloon= 5
1 cake= 10
that doesnt work for 2 balloons and 3 cakes
1 balloon=5
1 cake=5
that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes
1 balloon=4
1 cake=7
I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)
PLEASE HURRY
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?
guys I need help with both of the questions
After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.
What is the decay factor for this situation?
A
0.05
B
0.50
C
0.95
D
1.05
A radioactive element has a half-life of 400 years. How much of 100 grams would remain after 40 years?
Answer: here are all the answers
Answer:
What....
Step-by-step explanation:
solve for s
1/2 s = 7/2
Answer:
its 7 thats the answer lol
Best answer gets brainliest!!!
Choose 3 plz!
I believe that the answer B,D,and E
Answer:
A, D, and E (I think)
Step-by-step explanation:
I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol
Which one should I choose
Answer:
try x^2 X 6
Step-by-step explanation:
What do we mean when we say that the k-coloring algorithm discussed in the lectures is "almost" constant-time?
Answer:
What is meant by K-coloring algorithm to be "almost" constant-time: is that the pattern through which K-coloring algorithm is applied when coloring a graph is "almost" the same every time the algorithm is applied on any graph
Step-by-step explanation:
What is meant by K-coloring algorithm to be "almost" constant-time: is that the pattern through which K-coloring algorithm is applied when coloring a graph is "almost" the same every time the algorithm is applied on any graph. this is because in the use of K-coloring algorithm no adjacent vertices are colored with the same color and if that happens the lowest numbered color that has not been colored will be applied i.e. a new color.
The aim of the K-coloring algorithm is to color a graph with the least possible amount of different colors while ensuring that adjacent vertices don't get the same color
Evaluate the expression for the given value of the Variable
2x + 17 for x = 3
The expression equals
Answer:
23
Step-by-step explanation:
Rewrite the expression as a product using the GCF and distributive property. 27 + 45
Step-by-step explanation:
GCF of 27 and 45 is 9
Answer: 9 (3+5)
Step-by-step explanation:
The GFCF of these two numbers is 9 as they can both be divided by it
Distributive property form is when you place the GFC outside parenthesis so that the equation can be multiplied in order to show the original equation and dividing the numbers by the GCF so that it does not give you a larger number than what you started with
27/9=3 + 45/9=5
So, keeping this in mind the distributive property form would be 9(3+5)
Answer 9(3+5)
plz help me this is a final!!!!
Answer: (a) 13 (b) 1
Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.
Answer:
A.13 b.-1
Step-by-step explanation:
a 6+7=13
b 6- -7=-1
2 points
Jadewants to spend less than $22 on a board game. How much does the
game cost if the game is $25 and is on sale for 15% off?
Which statement is not true about the pattern shown 2/3 , 4/6, 8/12, 16/24 , ...
what is the answer to (7×10^5)×(3×10^2)
Answer:
210000000
Step-by-step explanation:
Determine the value of X and the measure of midsegment.
A new car is purchased for $18,000. Every year after the new car is purchased, it loses 1/3 of its value. Is this an example of exponential growth or exponential decay? Explain your answer based on what you have learned about exponential growth and exponential decay.
no joke answers pls.
reply if you know the answer.
Answer: Exponential Growth
Step-by-step explanation:
Since this car is being divided, it will only increase it's value, hope this helps, Merry Christmas and have a nice day.
18 000 / (1/3) =
54000