Sam needs 7/8 cup mashed bananas and 5/6 cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries. How can he write 7/8 and 5/6 as a pair of fractions with the smallest common denominator?
Answer:
I don't no the answer i hope you
Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
rectangles of thick cardboard with a length of 12 inches and width of 8 inches to make the boxes.
She is interested in maximizing the volume of the boxes and wants to know what size squares to
cut out at each corner of the cardboard (which will allow the corners to be folded up to form the
box) to do this. What is the maximum volume?
Answer:
x = 1,6 in ( the side of the corner squares )
V(max) = 67,58 in³
Step-by-step explanation:
The cardboard is:
L = 12 in w = 8 in
Let´s call "x" the side of the square from the corner:
Then the sides of the base of the open box are:
( L - 2*x ) and ( w - 2*x ) and x is the height
( 12 - 2*x ) and ( w - 2*x )
V(ob) = (L - 2*x ) * ( - 2*x ) * x
Wich is a function of x
V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x
V(x) = ( 96 - 24*x - 16*x + 4*x²) * x
V(x) = 96*x - 40*x² + 4*x³
Tacking derivatives on both sides of the equation
V´(x) = 12*x² - 80*x + 96
V´(x) = 0 12*x² - 80*x + 96 = 0
Solving for x
x₁,₂ = 80 ± √ 6400 - 4608 / 24
x₁,₂ = 80 ± 42,33 / 24
x₁ = 5,10 We dismiss this solution since 2*x becomes 2*5,10 = 10,20
ant this value is bigger than 8 inches
x₂ = 1,60 in
Therefore dimensions of the box
a = 12 - 2*x ; a = 12 - 3,20 ; a = 8,8 in
b = 8 - 2*x ; b = 8 - 3,20 ; b = 4,80 in
And the volume of the open box is:
V(max) = 8,8*4,8*1,6
V(max) = 67,58 in³
How do we Know that is the maximun value for V?
We find V´´(x) = 24*x - 80 for x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has a local maximun for a value of x = 1,6
Find the slope-intercept form of the equation of the line that passes through the point P and makes angle with the positive x-axis
Answer:
The answer is "[tex]y= -x+7[/tex]"
Step-by-step explanation:
If [tex]\bold{\theta = 135^{\circ}}[/tex]
point: [tex]p=(2,5)[/tex]
Formula:
[tex]\to m= \tan \theta \\\\\to (y-y_1)= m(x-x_1)[/tex]
[tex]\to m= \tan \ 135^{\circ} = -1\\\\\to x_1= 2\\\\\to y_1=5[/tex]
Put the value in the above formula:
[tex]\to y- 5 = -1(x-2)\\\\\to y- 5 = -x+2\\\\\to x+y = 5+2\\\\\to x+y=7[/tex]
[tex]\to y= -x+7[/tex]
100000x559977332955 :)))))))))
Answer:
5.5997733e+16
Answer:
gsgdhxhdhhdbxbcbb ;)
Step-by-step explanation:
idkjwhdhdhhchchffh
What Quadrant is 4,-8 located in
Answer:
4
Step-by-step explanation:
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. . How many blue marbles are in the bag
Julie opens a bank account with $500. She deposits $60 each month. Write a function that represents th
amount
that is in Julie's account after x months.
Answer:
Let Y represent the $60 deposited each month and F represent the total amount after X months. 500+Y•X= F
Step-by-step explanation:
The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type A) brought for inspection are normally distributed with PSI of µ = 30 and σ = 4, and such spares tires with PSI below 25 are considered under-inflated.
The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type B) brought for inspection are normally distributed with PSI of µ = 27.7 and σ = 5.4, and such spare tires with PSI below 25 are considered under-inflated.
The PSI found in the spare tire of vehicle Type A and vehicle Type B does not depend upon the other type of vehicle, and every vehicle has 1 spare tire in it.
a. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that BOTH vehicles have an under-inflated spare tire?
b. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that there is a total of EXACTLY one under-inflated spare tire among these two vehicles?
Answer:
f
Step-by-step explanation:
Which number is additive inverse of -4 1/4
Answer:
4 1/4
Step-by-step explanation:
the additive inverse is a number that when you add it with the number you already had, makes 0
-2 is the additive inverse of 2
so 4 1/4 is the inverse of -4 1/4
What is the percent of change from 60 to 63?
It is 5%
63-60=3
60 divided by 3 = 5
5%
PLEEEEEEEEEEEAAAAAAAAASEEEEEEE HELPPPPPP ME
anyone PLEASE help!!! I will give brianliest
Answer:
its the second one.
Step-by-step explanation:
does it look like I play any sports?? if so what sports
Answer:
ayyyye i play soccer too lol
Step-by-step explanation:
Answer:
looks like you play softball or basketball
Step-by-step explanation:
Shaniqua brings home $250 per week working 25 hours. She is able to save $30 of her earnings each week.
Shaniqua wants to have $750 saved at the end of 15 weeks. She is allowed to work up to 30 hours per week if she
wants. She can save all the money earned working extra hours. How many hours (as a whole number) each week
must Shaniqua work to save $750 at the end of 15 weeks? Show your work.
Answer: She'd have to work 27 hours a Week because by her working 2 more hours shed be able to save up 50 a week.
Explanation: 750 divided by 15 (the weeks) is 50. Shed need to save 50 a week instead of 30 to reach her goal and the amount 50 divided by the number of hours she works (25) is 2. Add the 2 to 25 and you get 27 weeks.
factor 5x^2 + 10x + 5
In the diagram, DC bisects
We are given that ∠BDA is bisected
this means that ∠BDC = ∠ADC
Finding x :
Since ∠BDC = ∠ADC:
7x - 19 = 9x - 37
2x = 18
x = 9
Finding ∠ADC:
We are given that ∠ADC = 9x - 37
now that we know that x = 9, replacing x:
∠ADC = 9(9)- 37
∠ADC = 44°
HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.
Given: -4 - (-7), use this expression and the idea of a balloon model to describe what happens to the hot air balloon.
a. Where does the balloon start?
b. Do you add or subtract something from the balloon?
c. What do you add or subtract from the balloon?
d. Where does the balloon end up?
Answer:
Step-by-step explanation:
-4 - (-7) = -4+7=3
For a. the balloon starts at -4
for B. your adding something to the balloon
For c. your adding 7 to -4
for D. the balloon ends up and 3
Please answer this correctly without making mistakes
Answer:
The price per inch is $0.26.
Step-by-step explanation:
There are 12 inches in 1 foot.
First, we need to calculate what the cost is per foot.
18.72 / 6 = 3.12
From this answer, we have to divide by 12 to calculate what the price is per inch.
3.12 / 12 = 0.26
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a wonderful day!
57 is greater than x - 8
This is an inequality.
This is what the statement should look like: [tex]57 > x - 8[/tex]
Now, you can actually "properly" reverse these meaning the equality sign changes too. So basically you can mirror them.
The "mirrored" inequality expression would look like this: [tex]x - 8 < 57[/tex]
Now just like normal algebra, you can transpose these terms from 1 side to another and so, -8 would transpose to the right hand side and the operation would be the inverse or in this case, addition. The expression would look something like this: [tex]x < 57 + 8[/tex]
Add them up and you get: [tex]x < 65[/tex] :D
f(1)=-12, f(n)=2f(n-1)
find first 4 terms
============================================
Explanation:
The notation f(1) = -12 tells us that the first term is -12.
The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.
-12*2 = -24
-24*2 = -48
-48*2 = -96
So the first four terms are -12, -24, -48, -96.
-----------------------------------
Alternative Approach
f(1) = -12 .... first term
f(n) = 2*f(n-1) ... nth term recursive formula
f(2) = 2*f(2-1) ... plug in n = 2
f(2) = 2*f(1)
f(2) = 2*(-12) ... plug in f(1) = -12
f(2) = -24 ... second term
f(n) = 2*f(n-1) .... resetting for the next computation
f(3) = 2*f(3-1) ... plug in n = 3
f(3) = 2*f(2)
f(3) = 2*(-24) ... plug in f(2) = -24
f(3) = -48 .... third term
f(n) = 2*f(n-1) ... one more reset
f(4) = 2*f(4-1) .... plug in n = 4
f(4) = 2*f(3)
f(4) = 2*(-48) ... plug in f(3) = -48
f(4) = -96 ... fourth term
We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.
What is -7 as a fraction
Answer:-7/1
Step-by-step explanation:
Answer:
-7/1
Step-by-step explanation:
What is the y-coordinate of the point that divides the
directed line segment from J to K into a ratio of 2:3?
min live - va) + v1
-6
-5
5
7
Answer:
C. 5Step-by-step explanation:
The equation is given:
y = (m/(m+n))(y2 - y1) + y1Since directed line segment from J to K, m = 2, n = 3, y1 = 1, y2 = 11. Plug in numbers:
y = (2/(2+3))(11 - 1) + 1 = (2/5)(10) + 1 = 4 + 1 = 5Correct choice is C. 5
A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The
graph of the total cost, C. in dollars as a function of the weight, z. In pounds of the crushed stone is shown. What is the meaning the y-intercept?
Item 2
Hem
C(2)
Item 4
items
480
440
400
360
320
280-
Cost (dollars)
240
200
100
EF
o
Type here to search
LOT
*
Answer:
The cost of the delivery is $120
Step-by-step explanation:
05.01)A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 18 inches. The width of the rectangle is labeled 6 inches. What are the dimensions if the poster is enlarged by a factor of seven over two ? 42 in by 126 in 3 in by 9 in 9 in by 12 in 21 in by 63 in
Answer:
21 in by 63 in
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
I took the quiz!!!!
How many solution does the following equation have -5 + 7x = 7x + 5
Answer:
No solution
Step-by-step explanation:
Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:
7x does not equal 7x + 10
The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?
Answer:
After 8 days, the stock lost 32 dollars.
Step-by-step explanation:
If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.
NEED HELP PLZ 45 POINTS
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
angle QRP and TRS are congruent because they are vertical angles.
if you add that then you will get ASA which proves congruency
Step-by-step explanation:
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.
Answer:
The required probability for the intersection of A & B = 0.25
Step-by-step explanation:
Given that:
Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Also;
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}
Then
P(A) = 0.05 + 0.25 + 0.10 = 0.4
P(B) = 0.20 + 0.25 + 0.05 = 0.5
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6
The intersection of A and B are:
P(A ∩ B) = E4
P(A ∩ B) = 0.25
The required probability for the intersection of A & B = 0.25
Find the sum of all integers between −102 and 104.
The integers from -102 to 102 would all cancel, leaving you with
(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104
= 103 + 104
= 207