Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
Given the following data;
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
[tex] l = 11 + w[/tex]
We know that, the area of rectangle, A = length * width
[tex] A = l*w[/tex]
Substituting the values into the equation, we have;
[tex] 80 = (11 + w)w[/tex]
Expanding the bracket, we have;
[tex] 80 = 11w + w^{2}[/tex]
[tex] w^{2} + 11w - 80 = 0[/tex]
*Solving the quadratic equation by using factorization method*
[tex] w^{2} + 16w - 5w - 80 = 0[/tex]
[tex] w(w + 16) - 5(w + 16) = 0[/tex]
[tex] (w - 5)(w + 16) = 0 [/tex]
Width, w = 5 feet or w = -16 feet.
Therefore, the width of the concrete pad is 5 feet or -16 feet.
To find its length, l;
[tex] l = 11 + w[/tex]
When w = 5 feet
[tex] l = 11 + 5[/tex]
Length, l = 16 feet
When w = - 16 feet
[tex] l = 11 + (-16)[/tex]
[tex] l = 11 - 16[/tex]
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
4x + 16 factor out gcf
Answer:
4(x+4)
Step-by-step explanation:
To factor out the gcf we need to find the greatest common factor. Then we multiply it be the other divided part.
if f(x)=3 what is x?
Answer:
0
Step-by-step explanation:
srry if it's wrong :/
Answer this ASAP please. If you can’t see then zoom in. Giving out 25 points and Brainliest to the one who answers correctly. There is a PT2 to this, so you’ll have another chance to answer if you want.
Thank you in advance.
Answer:
Put 2 feet down for both of them and add 3 extra feet for nate
Step-by-step explanation:
Answer:
add 3 extra feet for Nate and put 2 feet from the both of them
Step-by-step explanation:
A cellular phone company charges $67.95 per month for a service plan that includes 6 GB of data. In addition to the basic monthly rate, the company charges $8.95 for each additional GB of data over 6 GB. A customer on this plan receives a bill for $148.50. How much data did this customer send and receive during the month?
Answer:
The customer send and receive 15 GB of data during the month.
Step-by-step explanation:
Given;
Monthly charge for 6 GB of data = $67.95
Additional charge for each additional GB of data over 6 GB = $8.95
Bill received by the customer = $148.50
Therefore, we have:
Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55
Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB
Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB
Therefore, the customer send and receive 15 GB of data during the month.
Mario is playing an online puzzle game. He has 50 points and earns 3 points
for each puzzle he solves correctly. He will advance to the intermediate level
if his score is over 80 points.
Answer:
I think there might be more to this question, but the answer I have is
3x + 50 > 80
Step-by-step explanation:
If he has 50 points, needs higher than 80 points to advance to the intermediate level and receives 3 points for every puzzle he solves correctly, he must multiply the 3 by something to add to 50 to get a total amount higher than 80. Thus, 3x + 50 > 80 is the appropriate answer. Have a good day!
Answer:
the answer is 50x + 3 >80
Step-by-step explanation:
help me answer these questions please 15, 19 and 20 please
Answer:
15) K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Step-by-step explanation:
We are to find the derivative of the questions pointed out.
15) K(t) = 5(5^(t)) - 2(3^(t))
Using implicit differentiation, we have;
K'(t) = 5[5^(t)•In 5] - 2[3^(t)•In 3]
19) P(w) = 2e^(w) - (2^(w))/5
P'(w) = 2e^(w) - (1/5)[2^(w)•In 2]
20) Q(W) = 3w^(-2) + w^(-2/5) - w^(¼)
Q'(w) = -6w^(-2 - 1) + (-2/5)w^(-2/5 - 1) - ¼w^(¼ - 1)
Q'(w) = -6w^(-3) - (2/5)w^(-7/5) - ¼w^(-¾)
Under typical conditions, 1 [tex]\frac{1}{2}[/tex] feet of snow will melt in 2 inches of water. How many inches of water will it take to melt 1 [tex]\frac{3}{4}[/tex] feet of snow?
Answer:
2[tex]\frac{1}{3}[/tex]inches
Step-by-step explanation:
First, I would try to get the mixed numbers into improper fractions. Then, I try to make them have the same denominator so it is easier.
1[tex]\frac{1}{2}[/tex]feet --- 2 inches
[tex]\frac{3}{2}[/tex]feet --- 2 inches
[tex]\frac{6}{4}[/tex]feet --- 2 inches
1[tex]\frac{3}{4}[/tex]feet --- ? inches
[tex]\frac{7}{4}[/tex]feet --- ? inches
[tex]\frac{7}{4}[/tex]feet --- [tex]\frac{7}{6}[/tex] × 2 inches
= 2[tex]\frac{1}{3}[/tex]inches
Which expression is equivalent to 6(2x + 4)?
A) 12 + 24
B) 12x + 4
C 12x + 24
D) 8x + 10
Which numbers are factors of 16? Check all that apply.
o 2
o 3
o 4
o 8
o 16
o 32
Answer:
2,4,8,16
Step-by-step explanation:
2*8=16
4*4=16
8*2=16
16*1=16
those are the numbers you have that can give u 16 but with 3 and 32 no
Hope this helped!
Answer:
2,4,8,16
Step-by-step explanation:
That’s your answer
Se ha preguntado a un grupo de personas jubiladas el número de veces que han ido al teatro en el
último año. Las respuestas se recogen en esta tabla:
N.º DE VECES 0 1 2 3 4 5
N.º DE PERSONAS 2 20 41 26 9 2
Halla la media y la desviación típica.
Answer:
can please give clear clarification on English
Mr. Logan spent 14 cents at the hardware store buying nails and screws. Nails cost 2 cents, and screws cost 1 cent. If Mr. Logan bought exactly 9 items, how many of each did he buy?
Please help me fast !!!
Answer:
5 nails and 4 screws
Step-by-step explanation:
Make it into an expression where N= amount of nails bought and S= amount of screws bought. Then set it equal to the amount he paid.
ie: 2n+1s=14
Now make another equation for how many he bought.\
ie: n+s=9
Now subtract one of the letter variables from the second equation to get one on alone.
ie: n=9-s
Now, since you have a value for N, substitute it for the value in the original equation so that there's only one variable.
ie: 2(9-s)+1s=14
Now solve for S.
ie: 18-2s+s=14
ie: -s=-4
ie: s=4
Now you have a number value for S that you can plug in the original equation to find the value of N.
ie: 2n+4=14
ie: 2n=10
ie: n=5
Now plug in your values for N and S into the original equation to check it. Your answer is 5 nails and 4 screws.
sum of
5 3/7 - 2 1/5
Answer:
Step-by-step explanation:
5 3/7= 38/7 (move the wholes into the fraction)
2 1/5=11/5
38/7- 11/5 we need the common denominator=35
190/35 -77/35= 113/35
=3 8/35
The elves and reindeer are getting ready for a meeting with Santa.
So far 14 of them have arrived.
If they have 38 legs between them, how many reindeer are at the meeting and how many elves are at the meeting?
Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.
We know that:
[tex]r+e=14[/tex] (so far 14 of them have arrived)
[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)
If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].
So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).
The number of reindeers is 5 and the number of elves is 9.
Two equations can be derived from the equation:
e + r = 14 equation 1
2e + 4r = 38 equation 2
Where:
e = number of elves at the meeting
r = number of reindeers at the meeting
In order to determine the value of r, multiply equation 1 by 2.
2e + 2r = 28 equation 3
Subtract equation 3 from 2
2r = 10
Divide both sides of the equation by 2
r = 5
To solve for e substitute for r in equation 1
5 + e = 14
e = 14 - 5
e = 9
A similar question was answered here: brainly.com/question/23589883?referrer=
What is an equation of the line that passes through the points (-3,1) and
(3, -1)? Put your answer in fully reduced form.
The equation of the line is y = -1/3 x.
Barry has 7 coins, all of which are quarters and nickels. In all, they're worth $1.35. How many of each kind of coin does Barry have?
Answer:
5 quarters
2 nickels
Step-by-step explanation:
Answer:
5 quarters and 2 nickels.
Step-by-step explanation:
One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.
Hope this helped!
i need help with this one (T_T)
QUICK HELP HURRY MAKRIMG PIEPLE AS BRIANLDIT
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
A number that is multiplied by a variable is called?
Answer:
A number that is multiplied by a variable is called a coefficient.
18
Write an equation in POINT-SLOPE FORM for the line that has a slope of
1
5
and passes through (1,-2).
eat breakfast at a cafe. the total check was $5. here's the money he left period why did he pay $5.75?
Answer:
Tip.
Step-by-step explanation:
Since to total is $5 that means all taxes are already counted for.
He added the 75 cents as a tip.
WILL GIVE BRAINLIEST
Answer:
Infinitely many solutions.
Step-by-step explanation:
The two sides are the exact same therefore x can be anything
Answer:
infinitely many solutions
Step-by-step explanation:
6(x + 4) - 8 = 6x - 16
6x + 24 - 8 = 6x - 16
6x - 16 = 6x - 16
6x = 6x
x = x
RHS = LHS
Therefore, x can be any real number.
3
1
The temperature fell from 0°F to 6 3/5 F below 0f in 2 1/5 hours. What was the temperature change per hour?
Answer:
The rate is -3°F per hour.
Step-by-step explanation:
The rate of change of the temperature per hour, will be equal to the quotient between the total change in temperature and the time it took for the change.
We know that the initial temperature is 0°F
The final temperature is -(6 + 3/5)°F
Then the change in the temperature will be:
Final temperature - initial temperature = -(6 + 3/5)°F - 0°F = -(6 + 3/5)°F
We know that this change took a total of (2 + 1/5) hours, then we can conclude that the rate will be:
Rate = -(6 + 3/5)°F/(2 + 1/5) hs = -(30/5 + 3/5)°F/(10/5 + 1/5) hs
= -(33/5)°F/(11/5)hs = -(33/11) °F/hs = -3 °F/hs
This means that the rate of change is -3°F per hour, so the temperature decreases 3 °F for each hour that passes.
What are the x-intercepts for the function f(x)= x²+2x-15
[tex] {x}^{2} + 2x - 15 = 0 \\ (x + 5)(x - 3) = 0 \\ x = - 5 \\ x = 3[/tex]
Therefore the answer is D.
please help me i will give brianliest
Answer:
8 is the right answer
Step-by-step explanation:
in triangle swu,, wT bisect and perpendicular on su
so the triangle is isosceles triangle
therfore,Sw =, 8
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
A) ASA
the third angle is the common one
There is n arithmetic means between 2 and 46 such that the first mean: last mean is 1:7. find the value of n.
Answer:
n = 10Step-by-step explanation:
The nth term of an arithmetic sequence is expressed as:
Tn = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
Let the sequence be 2, T1, T2, T3...Tn, 46
The common difference is expressed as d = b-a/n+1
T1 = 2 + d
Given b = 46 and a = 2
d = 46-2/n+1
d = 44/n+1
T1 = 2 + (44/n+1)
T1 = 2(n+1)+44/n+1
T1 = 2n+2+44/n+1
T1 = 2n+46/n+1
Similarly;
Tn = 2 + nd
Tn = 2 + n(44/n+1)
Tn = 2 + 44n/n+1
Tn = 2(n+1)+44n/n+1
Tn = (2n+2+44n)/n+1
Tn = 46n+2/n+1
If the ratio of the first mean to last mean is 1:7 then T1/Tn = 1/7
(2n+46/n+1)÷(46n+2/n+1) = 1/7
2n+46/n+1 * n+1/46n+2 = 1/7
2n+46/46n+2 = 1/7
Cross multiply and solve for n:
46n + 2 = 7(2n + 46)
46n + 2 = 14n + 322
46n - 14n = 322-2
32n = 320
n = 320/32
n = 10
Hence the value of n is 10
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette yielded mean nicotine content of milligrams and standard deviation of milligrams for a sample of cigarettes. Construct a % confidence interval for the mean nicotine content of this brand of cigarette.
Answer:.
Step-by-step explanation:.
can someone help me plss! it would mean a lot! happy holidays too!
Answer:
69 feet
Step-by-step explanation:
Now go ace that test!
Answer: 69
Step-by-step explanation:
4/5 times 1/5 PLZ ANSER I NEED HELP
Answer:
.16 or 4/25
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]
multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]
Which equation represents the parabola shown on the
graph?
A. y2 = -2x
B. y2 = -8%
C. x2 = -2y
D. x2 = -8y
Answer:
y2=-8x is what's graphed so B.
Step-by-step explanation:
(I think you mistyped the choice)
Answer:
Which equation represents the parabola?
a) y2 = –2x
b) x2 = –2y
c) y2 = –8x
d) x2 = –8y
Step-by-step explanation:
C for edge 2021
