Given:
Food = 30 pounds of food per hiker.
Food consumption = 12 pounds of food a day.
No. of hikers = 7
To find:
The equation for the given situation.
Solution:
Let x be the number of days and y be the amount of remaining food.
Total amount is the product of number of hikers and food per hiker.
[tex]\text{Total food}=7\times 30[/tex]
[tex]\text{Total food}=210[/tex]
Food consumption of one day = 12 pounds
Food consumption of x days = 12x pounds
Now,
Remaining food = Total food - Food consumption of x days
[tex]y=210-12x[/tex]
[tex]y=-12x+210[/tex]
Therefore, the required equation is [tex]y=-12x+210[/tex].
Note: Option C is correct if there is -12 instead of 12.
work out 5/9 0f 100. give your answer to nearest whole number
Answer:
56
Step-by-step explanation:
A school sport's team sold hats for $12 each hat. The team made a profit of $3 for each hat sold. What percent of the selling price of each hat is the profit?
Answer: 25%
Step-by-step explanation:
Given: Selling price of each hat = $12
Profit on each hat = $3
To find: The percent of the selling price of each hat is the profit.
Ratio of profit to selling price = [tex]\dfrac3{12}=\dfrac14[/tex]
The required percentage = Ratio of profit to selling price x 100
[tex]=\dfrac14\times100=25\%[/tex]
The profit is 25% of the selling price.
What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5
Find the product of the elements on the main
diagonal of matrix A:
d1 = (a11)(a22)
Answer:
24
Step-by-step explanation:
thats right
The solution is d₁ = 24
The product of the elements on the main diagonal of the matrix is 24
What is multiplication of matrices?
The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the matrix be represented as A
Now , the value of A is
[tex]A = \left[\begin{array}{ccc}3 &2 \\ 5 &8 \\\end{array}\right][/tex]
Now , on simplifying the matrix A
The main diagonal of the matrix is having the elements ( a₁₁ ) and ( a₂₂ )
So , the product of the elements in the main diagonal is
a₁₁ = 3
a₂₂ = 8
And , the equation will be
d₁ = ( a₁₁ ) x ( a₂₂ )
Substituting the values in the equation , we get
d₁ = 3 x 8
d₁ = 24
Therefore , the value of d₁ is 24
Hence , the product of the diagonal elements of matrix is 24
To learn more about multiplication of matrix click :
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What is the simplified expression for 5 to the power of 4 multiplied by 5 to the power of 3 over 5 to the power of 5?
52
53
54
55
Answer:
C. 5^4
Step-by-step explanation:
(5^4 * 5^5) / 5^5
5^9 / 5^5
5^4
ANSWER NOW PLEASE: Tom is having his car repaired. The cost of the parts is $260
and 4 hours of work are required. Tom needs to keep the
entire cost of the repair under $400. Which inequality
expresses the relationship between hourly cost (x), parts,
and the $400 limit?
Answer:
260 + 4x < 400
Step-by-step explanation:
To make our inequality, let's list out the separate costs we have, all of which combined should be less than 400.
First, we have the cost for the parts, which is $260. The other cost we have is the hourly rate for the work. The repair will take a certain amount of money for every hour worked. The rate must be low enough that it doesn't exceed $400 when combined with the $260 from the parts.
To construct our inequality, we can begin with the estalished $260.
Then, add to this the hourly rate, (x) times the number of hours worked, 4.
So we have-
260 + 4x
The total of this cost must be less than $400 dollars, so we will use the less than ( < ) sign in front of the 400.
260 + 4x < 400
The answer is 260 + 4x < 400. I hope this was helpful :] Good luck ^^
A letter is chosen from the word shown.
BELIEVABLE
Which describes the probability of randomly choosing a consonant?
Answer:
That something unexpected is about to happen.
Step-by-step explanation:
please help hghjhghjjgfhjjjfhgfhbfhgkfgh
Answer:
Hello there! I would say the answer is C,
Step-by-step explanation:
I hope this helps!!!
Help meee plzzzzzzzzz
Answer:
B
Step-by-step explanation:
At the numerator we have to put 8, while at the denominator we have to put 26
8/26
now we can simplify the fraction by dividing both numerator and denominator by 2
(8:2)/(26:2)
4/13
Answer:
The answer is D
Step-by-step explanation:
4/46in simplest form
HELP HELP OH PLS YES PLS HELP
Answer:
270 minutes.
Step-by-step explanation:
30d
d=9
30x9= 270
270 minutes.
plz mark me as brainliest. :)
9000 is perfect square number?
Step-by-step explanation:
no it's not.....
........
Answer:
no
Step-by-step explanation:
there should always be even number of 0 if it wants to be a perfect square.
3 * 3 =9
30 * 30 =900. .......(2 0's)
300 * 300 = 9000...(4 0's and so on)
9000 does not meet this criteria so it isn't a perfect square.
Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D
Step-by-step explanation:
the right answer would be B
Answer:
C
Step-by-step explanation:
The point (-4 , 1) will be located
4 units towards left side of x axis . 1 unit above y axis.From figure , Point C
A new field has a perimeter of 220 m and a width of 62 m. A bag of canola seed will cover 185 m2 of ground. How many bags of canola seed are needed to seed the new field?
52
16
53
17
Answer:
17
Step-by-step explanation:
Assuming the field is a rectangle, the perimeter is found through the equation:
[tex]P = 2l + 2w[/tex]
Since we know the perimeter and width, we can substitute and solve for the length.
[tex](220) = 2l + 2(62)\\220 = 2l + 124\\96 = 2l\\l = 48\\[/tex]
Using the length and width, we can find the area.
[tex]A = lw\\A = (48)(62)\\A = 2976[/tex]
The area is 2976 squared meters. We divide by the area a bag of canola seed can cover and round up if necessary to find the total number of bags.
[tex]n = 2976 / 185\\n = 16.09[/tex]
Because we need a whole bag in order to cover for the decimal area, we round up to 17 bags.
A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.
Answer:
63.6 feet
Step-by-step explanation:
[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feetWhat’s the surface area of this prism
A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate
Answer:
18.76%
Step-by-step explanation:
effective interest rate = ( 1 + periodic interest rate)^m - 1
m = number of compounding = 365
Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471
(1 + 0.000471) ^365 - 1 = 18.76%
Write each verbal expression as an algebraic expression.
6 times the difference of d and 5
help please
Answer:
6(d-5)
Step-by-step explanation:
i think this must be the equation
3. Find the measure or arc JK.
Hint - arc LK is a semi circle
A.) 90
B.) 116
C.) 128
D.) 130
Answer:
C
Step-by-step explanation:
KL = 180°
JL = 2×26° = 52°
KL = KJ + JL
KJ = KL - JL
KJ =180° - 52°
KJ = 128°
Can someone please help?
Answer:
1: The highest score is 98, the lowest score is 74.
2: 55% of the scores are greater than 84
Step-by-step explanation:
Solution 1-1:
Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.
Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98
Solution 1-2:
Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74
Solution 2:
There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.
By dividing 11 by 20 we get 0.55 which is equal to 55%
Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains more trail mix? Why
Answer:
The answer is "smaller bag ".
Step-by-step explanation:
Please find the complete question in the attached file.
There are more trail mixes in the smaller pack.
It's because in the smaller bag (6.8 ounces) the trail mix is more than in the bigger bag (6.18 ounces).
It was reasonable because the capacity of the bag is not stated, and both bags will contain far more than 6,8 ounces.
CAN YALL ANSWER THIS PLS IM CRYING CUZ ITS DUE LATE ANYONE PLS NO TROLLS JUST PLS ANSWER IM CRYING ILL GIVE BRAINLIEST AND 5 STARTS AND A THANKS JUST PLS :(
Answer:
B and E
Step-by-step explanation:
-14 is the answer that is used to see if they are equal or not
A is incorrect because it equals -6.
B is correct because it equals -14.
C is incorrect because it equals 6.
D is incorrect because it equals -6.
E is correct because it equals -14.
Avery threw a football 60 yards,how many meters is that
Answer:
54.9 meters
Step-by-step explanation:
Given: Avery threw football 60 yards
To find: How high it is in meters
Solution: Simply convert 60 yards to meters, by doing that, find out how many meters are in one yard
1 = 0.9144
Multiply the result by 60
60 × 0.9144 = 54.86
Then, round it to the nearest tenths; 54.9
Avery threw the football 54.9 meters high
A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?
Answer:
2/20
Step-by-step explanation:
if you add all of the marbles you will get 20 marbles in total.
HELLllllllPPppppp !!!
9514 1404 393
Answer:
BC ≈ 17.0 (neither Crow nor Toad is correct)
Step-by-step explanation:
The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.
The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.
The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.
Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)
1.
Kenneth's garden is in the shape of a rectangle. The length is
20 feet and it has a perimeter of 70 feet, How long is the
diagonal of his garden.
Answer: I'm pretty sure it's 25
Step-by-step explanation:
Use Pythagorean theorem to find diagonal.
find 2/3 - 8/9 how can you write the expression using a common denominator
In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min
Answer:
25 km
Step-by-step explanation:
100/20=5
5*5=25
(
x
−
2
)
−
3
=
1
x
−
6
=
x
3
⋅
x
3
(x
−2
)
−3
=
x
−6
1
=x
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3
Explain why these exponential expressions are equal to each other. Justify your answer.
Answer:
Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...
Step-by-step explanation:
I need help please thank you
Answer:
it will look like this let me know if I'm right and GOOD LUCK!
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent show that quadrilateral ABCD is a parallelogram by finding the length of the opposite side pairs
Answer:
D. 21, 14
Step-by-step explanation:
As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.
21 = 3y
/3 /3
7 = y
y + 7 = 2y
-2y -2y
-y + 7 = 0
- 7 - 7
-y = -7
* -1 * -1
y = 7
In both instances, y = 7. Now let's substitute that.
21 = 3(7)
21 = 21 is true.
7 + 7 = 2(7)
14 = 14 is true.
With that, the lengths of the opposites sides are 21 & 14, which is D.