Answer:
Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Step-by-step explanation:
Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.
The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]
The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]
Each pallet weighs = 1500 pounds
2 pallets weighs = 1500×2=3000 pounds.
We know that 2000 pounds = 1 ton
[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]
Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
4(7)^2-12(7)-3
4×49-84-3
112-3
109
Answer: Your correct and final answer should be 109.
Step-by-step explanation:
All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}
4(7)^2 -12(7) -3
4×49 -84 -3
112-3 = 109
please please help!!
Answer:
108 No explanation needed, mark me brainliest
Answer:
108 is your correct answer
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form has a slope of -1/2 and passes through the point (2, 3)
Answer:
y = -¹/₂ x + 4Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -¹/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
The point-slope form of the equation:
y - 3 = -¹/₂ (x - 2)
So:
y - 3 = -¹/₂ x + 1 {add 3 to both sides}
y = -¹/₂ x + 4 ← the slope-intercept form of the equation
Given the statement "r varies jointly as s and t". if r =16 when s = 4 and t =6, what is the constant of the variation?
HELP FAST PLEASE I'LL MARK YOU BRAINLIEST
Which equation represents the line that is perpendicular to y = 3x + 5 and passes through the point (-3, -4)?
1. y = (2/3)x − 5
2. y = −5x − (1/3)
3. y = (1/3)x − 5
4. y = −(1/3)x − 5
Answer: y = -1/3x -5 (4th option is correct)
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal --> -1/3Find b.-4 = -3(-1/3) + b-4 = 1 +b-5 = bI will mark you brainliest if you answer this
Step-by-step explanation:
For the denominator to become 100, we multiply 2 to the numerator and denominator:
23/50 = (23 * 2)/(50 * 2) = 46/100 = 46%.
Answer:
[tex] \frac{23}{50} = \frac{23 \times 2}{50 \times 2} = \frac{46}{100} = 46\%[/tex]
46% is the right answer.
READ
10 times
100 times
600 times
Or
1000 times
50 points and brainlist
Answer:
100 times
Step-by-step explanation:
100 times
please is 100 times
please help
g(x) = -x - 1
Answer:
g(x) = -1
Hope this helps.
Step-by-step explanation:
Help pls. Rauls classmates evaluated Raul’s conjecture as to whether it was true or false and gave a reason. Which response is correct?
What is the constant in the expression -18 - 3a
Answer:
'-18' is the constant in the expression -18 - 3a.
Step-by-step explanation:
We know that in an algebraic expression the constant term has a fixed value and it can not be changed.
For example,
The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.
IN OUR CASE,
Given the expression
-18 - 3a
As '-18' is a fixed number and its value can not be changed.
Therefore, '-18' is the constant in the expression -18 - 3a.
Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6
inverse operations to solve the equation.
2/3(z)=(-2)
Answer: z = -3
Step-by-step explanation:
2/3z = -2
2z = -6 (Multiply both sides by 3)
z = -3 (Divide both sides by 2)
I WILL GIVE BRANIST plz help me
Answer:
10/8
Step-by-step explanation:
What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.
(2 * 5)/8
10/8
The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
continuously? Type the exact answer as your answer (no decimal approximations).
Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:
100 * (1+1.07)x = 400
Then we will take 400 and divide it by 100 getting:
1.07X = 4
Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X
Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.
2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula
where:
P (principal) is equal to hypothetical $100
E (e) is a mathematical constant, which is approximately 2.718
R (rate) is the interest rate, in our case it is 5.5%
T (time) is the time required for money to grow
A (amount) is the final amount desired, which is 4 times larger of $100, thus $400
We have the following:
400 = 100 * e0.055t
400/100 = e0.055t
4 = e0.055t
Then we will apply natural log to both sides of the equations and get the following:
ln(4) = ln(e0.055t)
Since e is the base of ln(x) the equation simplifies to:
ln(4) = 0.055t
Using the calculator to find ln(4) we are getting:
1.38629 = 0.055t
Lastly find t
t = 1.38629/0.055
t = 25.20535202
Plug the answers back to the original equation to verify the answers.
1st part of the question answer: t = 20.4895
2nd part of the question answer: t = 25.20535202
Select all of the zeros of the polynomial
g(x)=x^4+6x^3+6x^2−24x−40
(A). -2
(B). 2
(C). 1
(D). 4
(E). -4
(F). 8
Answer:
-2, 2
Step-by-step explanation:
those are the answers uwu
Find the equation of the line shown
Step-by-step explanation:
at 3=3
at 0=9
at 4=1
[tex]y = ax + b[/tex]
[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]
Answer:
y=-2x+9
Step-by-step explanation:
From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.
So:
0: 9
1:7
2:5
3:3
And the difference of y over the difference of x is the slope
-2/1=-2
So the slope is -2
Therefore, putting the equation together makes:
y=-2x+9
Hope this helps!
What is the value of x?
Answer:
answer is 6............
Which of the following expression(s) are fourth-degree trinomials? Select all that apply.
A. 3x²y + 5x3y + 6yA
B. 6y + 5x3 + 1
C. 5xy - 5x?y2 + 7
D. 3y2 + 3x3y2
Answer:
Options A and B are polynomial of the fourth degree
Step-by-step explanation:
In this problem, option
A. 3x2y + 5x3y + 6y4
Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree
Also the option
B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial
What is the degree of a polynomial?
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats
Part A
How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
PLS HELPP PLSSSSSSSSSSs
Part B
If Marcus’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
A) How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer: If David’s dad wanted to cover the rectangular side of the tent, he would need to multiply the sides together. Using the formula A = l x w, I can solve for 6 and 9. 9 x 6 = 54, so 54 = 6 x 9.
B) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer: If he wanted to re-cover the whole tent, he would need the product of the rectangular side, the triangular side, and the bottom side. Using A = l x w, I can solve for each side of the tent, For the rectangular side you multiply six by nine, then multiply two by the product. 6 x 9 = 54 x 2 = 108. For the triangular side, I need to multiply six times seven, 6 x 7 = 42. For the bottom, I need to multiply seven times nine, 7 x 9 = 63. Finally, I need to add them all up. 108 + 42 + 63 = 213 ft².
C) What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases
Answer: I need to find the volume of the tent, so I need to find the formula which is V = B x h. The base is 63, because I needed to find the area of one of the triangular bases, so I multiplied 7 x 9 = 63. The height is 6, so I need to multiply 63 x 6. When I multiply 63 x 6, I get the product of 378, so the volume of the tent is 378 ft³.
5.) g(x) = -4x + 2. Find x when g(x) = 22.
I'm on a timed test and I wasn't able to study because of personal reasons
Answer:
x = -5
Step-by-step explanation:
If g(x) = 22 and g(x) = -4x + 2, then -4x + 2 = 22.
Isolate x.
-4x = 22 - 2
= -4x = 20
= x = 20 ÷ -4
= x = -5
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
A car dealer offers a discount of 15% off the normal price of a car for cash.
Emma pays £6120 cash for a car.
Calculate the normal price of the car.
Answer:
7200
Step-by-step explanation:
100/(100-15) * 6120 = 7200
pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7
Step-by-step explanation:
(x + 8) / (5x - 1) > 0
Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.
(x ≠ 1/5)
=> (x + 8)(5x - 1) > 0
=> x < -8 or x > 1/5.
The answer is the 2nd option.
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons
Answer:
1/5
Step-by-step explanation:
since there is 5 sons they divide the land in 5.
10.
Can someone help me solve this?
Answer:
D. 12
Step-by-step explanation:
you put the x coordinate in place of c and that cancels it out so the answer is 12
can y’all help me on this?
Answer:
Step-by-step explanation:
V=l*w*h
V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35
Answer:
V=35
Step-by-step explanation:
V=Bh
v=volume
b=base(length & width)
h=height
V=(4)(2 1/2)(3 1/2)
V=(10)(3 1/2)
V=35
BRAINLIEST! URGENT! Please help me with this problem, also if you dont know the answer and just typed in some random stuff, it will be reported...dont steal points.
Answer:
The answer is C, -2/3
Step-by-step explanation: