Answer:
L=(8x^2+3)/x
Step-by-step explanation:
The area of a rectangle is length time width.
A=LW
In this case,
A=32x^2+12
W=4x
Solve for L
L=A/W
Substitute
L=(32x^2+12)/4x
L=(8x^2+3)/x
Luke, Kira and Ali each served 2/3 of their own cake. Each cake was the same size, but luke served 4 slices, Kira served 6 slices and Ali served 8 slices. How is this possible?
Answer:
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
Step-by-step explanation:
It's possible because they cut cakes into different number of slices.
You know that Luke, Kira and Ali each served [tex]\frac{2}{3}[/tex] of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.
Being x the whole slices of cake, and if Luke served [tex]\frac{2}{3}[/tex] of his cake, which are 4 slices, the whole slices of cake of Luke is:
[tex]\frac{2}{3}*x=4 slices[/tex]
Solving:
x= 4 ÷[tex]\frac{2}{3}[/tex]
x= 6
Then, whole slices of Luke's cake is 6.
Performing the same approach for Kira you get:
[tex]\frac{2}{3}*x=6 slices[/tex]
x= 6 ÷[tex]\frac{2}{3}[/tex]
x= 9
Then, whole slices of Kira's cake is 9.
Finally, performing the same approach for Ali you get:
[tex]\frac{2}{3}*x=8 slices[/tex]
x= 8 ÷[tex]\frac{2}{3}[/tex]
x= 12
Then, whole slices of Ali's cake is 12.
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
He pressure of a tyre is 32 pounds per square inch. Given 1 pound = 0.4536 kilograms 1 inch = 2.54 centimetres Work out the pressure in grams per square centimetre.
Step-by-step explanation:
1pound =0.4536kiligrams=,453.6grams
1square inch =2.54×2.54=6.4516
(32pounds/inch√2square
×453.6g)
(14515.2g/inch √2
÷6.4516)/6.4516
(2,262.34414)1cm√2
2262g/cm2
Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per square foot, how much will it cost Jenna to make her birdhouses?
Answer:
$11.76
Step-by-step explanation:
We first need to find the amount of plywood for all birdhouses.
2 3/5 * 8 = 104/5 or 20.8 or 20 4/5
Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.
20.8 * 0.56 = $11.648 or estimated $11.65
Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.
21 * 0.56 = $11.76
Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.
What is the slope of the line shown above? Just tap on the picture. Yes I’m watching Daniel tiger’s neighborhood. I’m babysitting while doing school work.
Answer:
The slope is 1/3
Step-by-step explanation:
Equation for slope is rise over run or y2-y1/x2-x1
-5,1 -2,2 these are the 2 points, so it could be 2-1/-2--5 which is equal to 1/3.
I need help with 3/1 2 - 1/1 3
Answer:3/
1
Step-by-step explanation: 0 < 2 < 3 = 3
0 is less than 2 is less than 3 is equal to 3
0/
1
< 2/
1
< 3/
1
= 3/1
h o p e i t h e l p s O_O
A tree 16 feet tall casts a shadow which forms an angle of 40° with the ground. How long is the shadow to the nearest hundredth of a foot?
Answer:
x = 19.06 feet
Step-by-step explanation:
Given that,
The length of a tree, h = 16 feet
It casts a shadow which forms an angle of 40° with the ground.
We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,
[tex]\tan\theta=\dfrac{h}{x}\\\\x=\dfrac{h}{\tan\theta}\\\\x=\dfrac{16}{\tan(40)}\\\\x=19.06\ \text{feet}[/tex]
So, the length of the shadow is 19.06 feet.
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answer:D
Step-by-step explanation:
need help very fast pls
Answer:
Step-by-step explanation:
(0, -5) (5, 0)
(0 + 5)/(5 - 0)
5/5= 1
y + 5 = x - 0
y = x - 5
Brainliest to anyone who can answer and show working out :)
Answer:
d = 9
Step-by-step explanation:
solving for d
let's get ride of the fraction first so multiple the whole thing by 3
3= 1d - 6
add 6 to both sides
9 = d
easy peasy.
could someone help me out for number 5 please?
Answer:
she didnt multiply 5 times 12
please help if your able to (:
Answer:
4/9
Step-by-step explanation:
(2/3)^2 is another way of writing:
2/3*2/3
Which is 4/9
Hope this helps
Answer:
2/3*2/3 4/3
Step-by-step explanation:
Help me find y intercept, slope, and linear function
Answer:
y=5 m=3
Step-by-step explanation:
i mean it shows you the y intercept and the slope and the linear function all in that one picture
Answer:
y-intercept = 5
slope = -1/3
Step-by-step explanation:
The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?
Answer:
The number of hours.
Step-by-step explanation:
The dependent variable is what you are mesuaring.
Suppose point A is located at (1, 3) on a coordinate plane. If AB is 10 and the x-coordinate of point B is 9, explain how to use the Distance Formula to find the y-coordinate of point B.
Answer:
y =9
Step-by-step explanation:
you know the distance is 10 and some of the x,y points. so start filling what you know into the distance formula
10= √((9-1)^2 + (y-3)^2 )
square both sides to get ride of the square root
100 = 64 + (y-3)^2
36 = (y-3)^2
6 = y-3
y = 9
double check by using 9 for Y and you'll see it works.
Linear system
x-y=9
X+2y=27
[tex]7 {x}^{3} + 4x - 5 + 8 {x}^{5} [/tex]
What is the degree of the polynomial?
A. 0
B. 1
C. 3
D. 5
Answer:
D
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of a term within the polynomial.
Given
7x³ + 4x - 5 + 8[tex]x^{5}[/tex]
The term with the largest exponent is 8[tex]x^{5}[/tex] with exponent 5
Thus the polynomial is of degree 5 → D
In one year, the toll for passenger cars to use a tunnel rose from $3 to $3.50. What is the percent increase? Remember to round to nearest whole number.
Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.
There are 2 sketches in case you need more room.
`-3x+y=-2`
`y=4x`
Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8
PLEASE ANSWER ASAP !!!!
Answer:
probaly 2
Step-by-step explanation:
you have to figure out the slope.
y1 - y2/x1-x2
please helpppppp!!!!!
9514 1404 393
Answer:
A + 2×BD - 2×CStep-by-step explanation:
The shaded area contains area A and two of area B. The expression for that area can be written ...
Area of trapezoid = A + 2×B
__
The overall rectangle has an area of D. The areas labeled C can be subtracted from that to leave the shaded area. The expression for that is ...
Area of trapezoid = D - 2×C
× - 10 = 4. That's the full question
Answer:
x-10=4
×=4+10
×=14
..............
Please show work, i’ll mark as brainliest
Answer:
y=4
x=-3
Step-by-step explanation:
4(-3)-9y=-48
-12-9y=-48
-9y=-36
y=4
x=-3
Answer:
simple please follow me and mark it brainliest
Step-by-step explanation:
given 4x-9y=-48
x=-3
substituting value of x in given equation
We get
4(-3)-9y=-48
-12-9y=-48
-9y=-48+12
y=-36/-9
y=36/9
y= 4
Please help me :( I really need it.
Answer:
6
Step-by-step explanation:
since it's a right triangle you can use the Pythagorean Theorem
2.7² + b² = 6.5²
7.29 + b² = 42.25
b² = 34.96
b = [tex]\sqrt{34.96}[/tex] which equals 6 when rounded to the nearest tenth
I = $164.50, P = $940, t = 2.5 years
Plz help and show work
-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D
Answer:
Step-by-step explanation:
help and get brainliest!!!
Answer:
a
Step-by-step explanation:
WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER!!!!!
Answer:
9 cm
Step-by-step explanation:
1/3x3=1
10-1=9
Will mark brainliest if ur right! if not, u wont get it.
Answer:
(-4,4)
Step-by-step explanation:
I believe that's it
The mean of three numbers is 10. The mean of other four numbers is 12. Find the mean of all the numbers.
Answer:
11.14
Step-by-step explanation:
Mean = sum of numbers / total numbers
the mean of the 7 numbers = sum of the numbers / 7
sum of numbers for the 3 numbers = 10 x 3 = 30
Sum of numbers for the other 4 numbers = 12 x 4 = 48
Sum of the 7 numbers = 48 + 30 = 78
Mean of the 7 numbers = 78 / 7 = 11.14
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44