A quantity of food will last 8 people for 18 days. How long will the food last 2 people?
Answer: 72 days
Step-by-step explanation:
STEP ONE: Find the total amount of food
Total days = 18 days
Total people = 8 people
Total food = days × people
Total food = 18 × 8
Total food = 144
STEP TWO: Find the days that would last for 2 people
Total people = 2 people
Total food = 144 units
Total days = food ÷ people
Total days = 144 ÷ 2
Total days = [tex]\boxed{72days}[/tex]
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Help me with math please really need it
Answer:
Not too sure about this one, but I hope this helps.
Step-by-step explanation:
basically I just used the formula y=mx+b
m is the slope
and b is the y intercept
the supplementary are in the ratio 1:5. What is the measure of the smaller angle?
Answer:
[tex]thank \: you[/tex]
The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
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solve 10/6 + 3/6- 5/6 mentally
Answer:
4/3
Step-by-step explanation:
Answer: 4/3
Step-by-step explanation:
Given
10/6 + 3/6 - 5/6
Add the numerators up (since they have the same denominator)
=(10 + 3 - 5) / 6
Simplify by addition/subtraction
=(13 - 5) / 6
=8 / 6
Divide 2 on both numerator and denominator to simplify the fraction
=(8 ÷ 2) / (6 ÷ 2)
=[tex]\boxed{\frac{4}{3} }[/tex]
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Please let me know if you have any questions
the midpoint of ab is m(-2,1). if the coordinates of a are (1,-2) what are the coordinates of b
Answer:
-5,4
Step-by-step explanation:
midpoint x is a 3 point difference. 3 points in the opposite direction is -5
midpoint y is also a 3 point difference. 3 points in the opposite direction of that is 4
so I believe the correct answer should be (-5,4)
16 + (17+8)=( 16+ ) +8
65
Step-by-step explanation:
There are four to every seven girls in an instructory biology course , if there are 385 students enrolled in the course, how many are boys?
Answer:
140 boys
Step-by-step explanation:
x = boys, y = girls
x/y = 4/7, x+y=385
x = 140, y = 245
Please help
Solve the inequality.
2x – 9 = 1
x= [?]
Answer:
[tex]2x - 9 \leqslant 1 \\ 2x \leqslant 10 \\ x \leqslant 5 \\ thank \: you[/tex]
11. S(-4,-6) and T(-7,-3); Find R.
Answer:
R(-1,-9) But I know if the answer is correct or not
Step-by-step explanation:
Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, 6 1/3 and oſ cups of strawberry lemonade to make some punch. What is the
total number of cups of punch that Peter makes?
7(6-4) distribitive property
Answer:
14
Step-by-step explanation:
Multiply 7 and 6, then 7 and -4: 42-28=?
Subtract: 42-28=14
Find the value of:
7- (1/2)3
Answer:
6.875
Step-by-step explanation:
7- (1/2)^3 = 7-1/8 = 6.875
A circle's circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle by using 3 for pi. I WILL BRAINLEST HELP ASAP
Answer:
see below
Step-by-step explanation:
C=2[tex]\pi[/tex]r
76=2[tex]\pi[/tex]r
r=[tex]\frac{76}{2\pi }[/tex]=38[tex]\pi[/tex]= 119.380520836
diameter: d=2(radius)=2(119.380520836)= 238.761041672
area= [tex]\pi (r)^{2}[/tex]=[tex]\pi[/tex](119.380520836)^2= 14251.70855[tex]\pi[/tex]
19. Rashmika bought a second hand T.V. for Rs. 6,000 and she spent Rs. 1500 on its repair. She sold it for Rs. 5,500. Find her profit or loss.
Cost of TV= Rs. 6000
Money spent on repair= Rs. 1500
So, money left after repair= 6000-1500= Rs. 4500
She sold it for Rs. 5,500
Therefore, Profit= 5500-4500= Rs. 1000
So profit= Rs. 1000
Answer:
2,000 loss
Step-by-step explanation:
Total Revenue - Total Expenses = Profit
Total expenses = 6,000(Original cost) + 1500(repairs) = 7,500
Total revenue = selling price = 5,500
Therefore the Profit or Loss(negative number) =
5,500 - 7,500 = -2000 or 2,000 loss
What answer applies to “fine print”?
In goooooooogle you get your answer please Mark me as a brainlist
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
L=6x+3
B=-2x-5
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]
[tex]\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}[/tex]
i need help to solve this please -6 - 8x = -2(4x + 3)
Answer:
infinite solutions, true for all x
Step-by-step explanation:
-6 - 8x = -2(4x + 3)
Distribute
-6-8x =-8x-6
Add 8x to each side
-6-8x+8x = -8x-6+8x
-6 =-6
Since this is always true, the equation is true for all x
-6-8x = -2(4x+3)
-6-8x = -8x-6
-8x+8x = -6+6
0=0
infinite solution
THANK YOU
Let p: x<-3
Let q: x>3
What is represented by p V q?
O x<-3 and x > 3
O x> 3 or x<-3
Olfx <-3, then x > 3
Ox<-3 if and only if x > 3
9514 1404 393
Answer:
(b) x> 3 or x<-3
Step-by-step explanation:
The ∨ symbol is understood to mean "or".
p ∨ q ≡ (x < -3) or (x > 3) . . . . . . matches the 2nd choice
Here is the histogram of a data distribution.
10
8
7
What is the shape of this distribution?
A. Unimodal symmetric
B. Bimodal skewed
C. Uniform
O D. Bimodal symmetric
O E. Unimodal skewed
Answer:
Step-by-step explanation:
Some form of symetric i think....
The best describes the shape of this distribution is Unimodal symmetric.
What is Unimodal symmetric?A unimodal distribution is a distribution that has one clear peak. The values increase first, rising to a single highest point where they then start to decrease. A unimodal distribution can either be symmetrical or non-symmetrical. A symmetrical distribution is one where the mean, mode, and median are all equal.
Given is a histogram, we have to find the shape of this distribution,
Since, we can see that the graph only has a hump with equal distribution either side of the hump, which can say that the graph is a Unimodal symmetric
Therefore, the given distribution is Unimodal symmetric as the distribution has 1 hump.
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A machine costing $56,745 with a 7-year life and $51,208 depreciable cost was purchased January 1. Compute the yearly depreciation expense using straight-line depreciation. Round your answer to the nearest whole dollar.
How much is per year?
Answer:
$7315
Step-by-step explanation:
To find the depreciation expense, we use this formula:
Depreciable cost ÷ useful life time
Depreciated cost = $51,208
Life time = 7 years
51,208 ÷ 7 = 7315.42857
This means that $51,208 were lost over the 7 years, meaning $7315 were lost every year.
A rectangular plot 72 metres long and 20 metres wide on a school farm sided into 18 equal plots. What the area of each plot?
Answer:
Step-by-step explanation:
There are many ways this could be done, but the simplest way is to divide 18 into 72. That gives 4. So each plot is 4 * 20 = 80 m^2
If you are willing to use fractions, the answer could be 20*72 / 18 = 8 * 10 which is more feasible and still gives 80, but the land may not permit it. However math will.
It's hard to give an exact answer when it is this open ended.
I = V/R
make R the Subject formula
Answer:
R = V/I
Step-by-step explanation:
I = V/R
Multiply both sides by r
IR = V
Divide both sides by I
R = V/I
Ex:
2 = 6/3
3 = 6/2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
which of the following numbers falls between 2 and 3 on the number line square root of 8 or square root of 12
9514 1404 393
Answer:
√8
Step-by-step explanation:
8 is between 2² = 4 and 3² = 9. 12 is not.
√8 falls between 2 and 3.
__
Your calculator can help with this.
√8 ≈ 2.828 . . . . . between 2 and 3
√12 ≈ 3.464 . . . . not between 2 and 3 (between 3 and 4)
How to show work for 339.3÷13
Step-by-step explanation:
Refer to the notes on long division
The sum of two number is -1/3, if one of the number is -12/3 ,find the other number? please help
Answer: 11/3
Step-by-step explanation:
-12/3 + n = - 1/3
n = -1/3 + 12/3
n = 11/3
Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .
- 11 - z =?
Answer:
-11 - z
(-11) - (-11)
= 0
I hope I have helped.
Help Please NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION PLEASE PRETTY PLEASE
Answer:
1.3
Step-by-step explanation:
I guess it's 1.8 - 0.5
if the volume of cube is 125 cm cube . find its length
The unit circle with center at the origin is a relation but not a function. Find the two functions which are lie in one of the semicircle in part a, and determine their domains and ranges?
Answer:
Step-by-step explanation:
All real number