Answer: 50 feet
Step-by-step explanation:
Let the length be represented by x
The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x
Area = Length × Breadth
2000 = x × 0.8x
0.8x² = 2000
x² = 2000/0.8
x = ✓2500
x = 50
Therefore, the length is 50feet
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-x^2+90x-454
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
What are the intercepts of the equation: 6x - y = 12
Will give brainiest to the person who shows how to do the problems step by step (proportionally) and those with the correct answer
Questions (below the pictures):
Answer:
15. 1.125 hours = 1 hour 7 minutes 30 seconds
17. 3840 cal
18. 60 g
Step-by-step explanation:
15.
8 miles is to 3 hours as 3 miles is to x hours
8/3 = 3/x
8x = 3 * 3
8x = 9
x = 1.125
Answer: 1.125 hours = 1 hour 7 minutes 30 seconds
17.
1/2 avocado is to 160 cal as 12 avocados are to x cal
(1/2)/160 = 12/x
(1/2)x = 12 * 160
x = 24 * 160
x = 3840
Answer: 3840 cal
18.
We need the same units. We convert 2 1/2 cups into tablespoons.
1 cup = 16 tablespoons
2 1/2 cups = 2 1/2 * 16 tablespoons = 2.5 * 16 tablespoons = 40 tablespoons
Now we start the proportion.
1.5 g to 1 Tbsp is as x is to 40 Tbsp
1.5/1 = x/40
x/40 = 1.5
x = 1.5 * 40
x = 60
Answer: 60 g
Alex was thinking of a number. Alex doubles it
,then adds to get an answer or 22.7. What was the original number?
Answer:
5.675
Step-by-step explanation:
22.7/2= 11.35
11.35/2= 5.675
What is the measurement of this angle?
__°
Miles today 15 yesterday m hours today 2.5 yesterday 4
Plz help you will get 92pts
Answer:
So this is free points right
Step-by-step explanation:
Sorry I will answer your latest questions
Can y’all plz help me !!!!!
Answer:
2
Step-by-step explanation:
4*2=8 and 8+4=12
Can you help me please and thank you:)
The y-intercept of the graph is the function value y=
The greatest value of y is y=
Answer:
The y-intercept of the graph is the function value y = 0
The greatest value of y is y = 2
Find the sum of5x^2-3x+2 and 3x^2-4x-1
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
(3x + -2)(4x + -1) = 0
Reorder the terms:
(-2 + 3x)(4x + -1) = 0
Reorder the terms:
(-2 + 3x)(-1 + 4x) = 0
Multiply (-2 + 3x) * (-1 + 4x)
(-2(-1 + 4x) + 3x * (-1 + 4x)) = 0
((-1 * -2 + 4x * -2) + 3x * (-1 + 4x)) = 0
((2 + -8x) + 3x * (-1 + 4x)) = 0
(2 + -8x + (-1 * 3x + 4x * 3x)) = 0
(2 + -8x + (-3x + 12x2)) = 0
Combine like terms: -8x + -3x = -11x
(2 + -11x + 12x2) = 0
Solving
2 + -11x + 12x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(1 + -4x)(2 + -3x) = 0
Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:
Simplifying
1 + -4x = 0
Solving
1 + -4x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1
Combine like terms: 0 + -1 = -1
-4x = -1
Divide each side by '-4'.
x = 0.25
Simplifying
x = 0.25
Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying
2 + -3x = 0
Solving
2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2
Combine like terms: 0 + -2 = -2
-3x = -2
Divide each side by '-3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Solution
x = {0.25, 0.6666666667}
2.) 5x^2-3x=2
We move all terms to the left:
5x^2-3x-(2)=0
a = 5; b = -3; c = -2;
Δ = b2-4ac
Δ = -32-4·5·(-2)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=49−−√=7
x1=−b−Δ√2a=−(−3)−72∗5=−410=−2/5
x2=−b+Δ√2a=−(−3)+72∗5=1010=1
1 Find m2R
2x + 106
16
Answer:
2(x+5308)
Step-by-step explanation:
Factor 2x+10616
2x+10616
=2(x+5308)
It took a skydiver 12 seconds to drop 450 feet. What is the rate (in feet per/second) of the skydiver's drop?
Answer:
37.5 feet per second
Step-by-step explanation:
Answer:
37.5 ft per second
Step-by-step explanation:
Where does the line 3x + 7y = 2 intersect the x- and y-axis?
A- x-axis: 32; y-axis: -72
B- x-axis: 23; y-axis: -27
C- x-axis: 32; y-axis: 72
D- x-axis: 23; y-axis: 27
what is x? please help
Answer:
29
Step-by-step explanation:
This is a right triangle because it has the small square in the corner.
And when you have a right triangle the angle with the square in it is ALWAYS going to be 90 degrees.
It gave you one of the angle measurements which is 61.
90+61=151
And When you add all the angle measurements of a triangle it will ALWAYS be a total of 180 no matter what kind of triangle it is.
To find "x" you subtract the sum of the two angles you you know from 180.
180-151=29
What is 3 kilometers as meters
Answer:
3000 meters
Step-by-step explanation:
1 kilometer = 1000 meters so 3 = 300 meters
class A has 11 pupils and class B has 14 pupils. Both classes sit the same maths test. the mean score for class A is 32. The mean score for class B is 38. What is the mean score(rounded to 2DP) in the maths test across both classes?
Answer:
35.36
Step-by-step explanation:
For Class A
Class A has 11 pupils
The mean score for Class A is 32.
The total score of the students =
Mean score × Number of pupils
= 32 × 11
= 352
For Class B
Class B has 14 pupils. The mean score for class B is 38.
The total score of the students =
Mean score × Number of pupils
= 38 × 14
= 532
Total number of pupils for both classes = (11 + 14)pupils
= 25 pupils
Total score for both class = 532 + 352
= 884
The mean score(rounded to 2DP) in the maths test across both classes is calculated as:
Total score of both classes÷ Total number of pupils
884 ÷ 25
35.36
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
OA.
AX) = (x - 5)(x-4)
OB
f(x) = (x + 6)(x-4)
O C.
Ax) = (x+6)(x + 4)
OD
Ax) = (x - 6)(x+4)
Answer:
OD
f(x)= (x-6)(x+4)
because (x-6)=0
x=6
and. (x+4)=0
x= -4
What’s the answer to this
Lupita y Fernando y Andrés quieren comprar entre los tres una bicicleta que ven todos los días en el aparador de la tienda todo para todos para sus vacaciones le han deseado tanto que decidieron comprarla cada uno sacó cuentas de lo que debería pagar por la bicicleta
Answer:
el precio de la biciclete entre 3 es lo que van a pagar cada quien.
Step-by-step explanation:
what is your solution to this equation ? 2x + 10 =28
Answer:
i believe x=9
Step-by-step explanation:
I took the answer, (28) and subtracted 10 which got me 18. then all I had to do was divide 18 by 2 to get x, which is 9. hope this helps :)
Answer:
x = 9
Step-by-step explanation:
We have: 2x + 10 = 28
Subtract 10 from both sides: 2x = 18
Divide both sides by 2: x = 9
im not sure how to do this
Answer:1 =5
2 = 55/3
3= 11
Step-by-step explanation:
hope i could help lol
PLZ HELP
I’m failing
Answer:
h = 5
Step-by-step explanation:
h + 9 = 14
Subtract 9 from both sides
h +9 - 9 = 14 - 9
h = 5
Answer:
5
Step-by-step explanation:
9+5=14
Parker's dog will be having four puppies. Parker performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
Answer:
7/10 70%
Step-by-step explanation:
based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)
Answer: A
Step-by-step explanation: took the quiz and got it right
Can the sides of a triangle have lengths 3, 7, and 15?
Noor, Layla, and Diego play a trivia game. Noor’s score is -2. Layla’s score is 3/4 of Noor’s score. Diego’s score is 2/3 of Layla’s score. What is Diego’s score?
Answer:
layla is savege score in mobile legends and diego's score in ml is 20
Which is a composite number
81
61
71
41
Answer:
81
Step-by-step explanation:
A composite number has factor more than just one and itself.
Factors of 81=
1, 3, 9, 27, 81
A school is arranging a field trip to the zoo. The school spends 537.57 dollars on passes for 30 students and 3 teachers. The school also spends 290.40 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student
Answer:
$17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student
Step-by-step explanation:
please help urgent!!!!!
Answer:
The answer is B!!
Step-by-step explanation:
What do we know given from the statement above the photo? We are told <Q is congruent to <S, and QR is congruent to SR. So by given that, we have an angle (angle Q or angle S), a side (side QR or SR), and another angle (angle R), so we have ASA. I hope this helps!!
Answer:
b
Step-by-step explanation:
From the comment above the photo, what do we know? We are advised that <Q is <S, and that QR is SR-compatible. We've got a corner (angle Q or angle S), a line (side QR or SR), and a separate angle (angle R), so we have ASA. I hope that's good!!
4(t+1/4)=3 solve for t
I need the answer to this ASAP.
Answer:
Exact form : t=1/2 and Decimal: 0.5
How long will it take to fill the tank with 40 gallons of water?
Answer:
15-25
Step-by-step explanation: