A line passes through the point (-10, – 7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
Can someone please help, ty!!
Answer:
B i think
Step-by-step explanation:
a softball team wants to sell $8,500 worth of tickets for its upcoming season. if each ticket cost $18 how many tickets will the team have to sell to reach their goal?
Answer:
473 tickets
Step-by-step explanation:
8,500/18=472.2222222 but, since you can’t sell only part of a ticket, you’ll round up to get 473 tickets.
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.)
Answer:
The dimensions of the aquarium that minimize the cost of the materials:
[tex]x=y=\sqrt[3]{\frac{2V}{5}}\\z=\sqrt[3]{\frac{25V}{4}}[/tex]
Step-by-step explanation:
Let x, y and z be the dimensions of aquarium .
Surface area of an aquarium = xy+2yz+2xz
Volume of aquarium V=[tex]Length \times Breadth \times Height=xyz[/tex] ----A
We are given that slate costs five times as much (per unit area) as glass
So, Cost function : C=5xy+2yz+2xz
Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.
[tex]\nabla C =\lambda \nabla V[/tex]
[tex](\frac{\partial C}{\partial x},\frac{\partial C}{\partial y},\frac{\partial C}{\partial z})= \lambda (\frac{\partial V}{\partial x},\frac{\partial V}{\partial y},\frac{\partial V}{\partial z})[/tex]
[tex](5y+2z,5x+2z,2y+2x)=\lambda(yz,xz,xy)[/tex]
So,
[tex]5y+2z=\lambda yz[/tex] ----1
[tex]5x+2z=\lambda xz[/tex] -----2
[tex]2y+2x=\lambda xy[/tex] ----3
Multiply 1 ,2 and 3 by x,y and z respectively.
[tex]5xy+2xz=\lambda xyz[/tex] ----4
[tex]5xy+2yz=\lambda xyz[/tex] -----5
[tex]2yz+2xz=\lambda xyz[/tex] ----6
Now equate 4 and 5
5xy+2xz=5xy+2yz
x=y
Substitute y=x in 5 and 6 and equate them
[tex]5x(x)+2(x)z=2(x)z+2xz\\5x^2=2xz\\5x=2z\\\frac{5}{2}x=z[/tex]
Substitute the values in A
[tex]V = xyz = x \times x \times \frac{5}{2}xV=\frac{5}{2}x^3\\\sqrt[3]{\frac{2}{5}V}=x\\x=y=\sqrt[3]{\frac{2}{5}V}\\z=\frac{5}{2}x=\frac{5}{2}(\sqrt[3]{\frac{2}{5}})=\sqrt[3]{\frac{25V}{4}}[/tex]
Hence,
The dimensions of the aquarium that minimize the cost of the materials:
[tex]x=y=\sqrt[3]{\frac{2V}{5}}\\z=\sqrt[3]{\frac{25V}{4}}[/tex]
what is 1000000000000x0??????
Answer:
0
Step-by-step explanation:
Everything multiplied by 0 is 0.
What is the quotient of : 4.652/.3
Answer:
15.51
Step-by-step explanation:
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Write an equation that gives the amount of snow that has fallen after x hours at this rate.
Answer:
y = 2x
Step-by-step explanation:
y-int = 0
slope = 2
Help please.............
Find the quotient below. Write the answer as a fraction in the simplest form 7 1/2 divided 5/6
Answer:
9
Step-by-step explanation:
steps for dividing mixed numbers.
Change every mixed number to an improper fraction.
Multiply the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms (or simpliest form)
Check to be sure the answer makes sense.
What number is 30 percent of 50
Answer:
15 (50*0.3)
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
0.3*50 = 15
Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?
Answer:
Since it is a to-scale model,
the ratio of the wingspan to the length of both the airplanes must be equal
wingspan1 = 200 ft wingspan2 = 30 cm
length1 = 240 ft length2 = x cm
wingspan1 / length1 = wingspan2/length2
replacing the variables
200 / 240 = 30 / x
x = 30 * 240/200
x = 36 cm
Therefore, the length of Emma's airplane is 36 cm
Answer:
Step-by-step explanation:
1 1/2 x 3/4 pls full aswer
Answer:
1.125 or 9/8
Step-by-step explanation:
Mr. Hernandez found salmon on sale at HEB for $6.99 per pound. How much would it cost if Mr. Hernandez bought 3.2 pounds of salmon? Round your answer to the nearest cents.
Answer:
$22.37
Step-by-step explanation:
Answer:
$22.37
Step-by-step explanation:
6.99(3.2)
Can someone help me with Number 7 i’ll give the brainly thingy
Answer:
$9.50
Step-by-step explanation:
Suppose you want to put sprinkles on cupcakes. You have 2/3 of a bag of sprinkles and you only need 1/9 of the bag per batch how many batches can you cover with sprinkles?
Answer:
i think 6
Step-by-step explanation:
2/3 divided by 1/9 then , 2 times 9 then. 3 times 9 = 18/3 if you simplifying the answer is 6
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512 ounces
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
multiply the volume value by 128
Simplify square root -200
Answer:
10 i sqrt 2
Step-by-step explanation:
i indicates that it is an imaginary number. this is because 200 is negative.
The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.
The given square root number is √-200.
The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Here, 200 = 2×2×2×5×5
Thus, √-200=√-2×2×2×5×5
=2×5×i√2
= 10i√2
Therefore, the correct answer is option D.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ6
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11
Answer:
Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11
Step-by-step explanation:
According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.
Rational Root Theorem:The given function is; f(x) = 5x² – 7x + 11
On this note; Using the rational Root Theorem while determining the root; we have;
f(x) = 0 = x² -7/5x + 11/5.
The possible roots are therefore the factors of the constant, 11/5 and are as follows;
±11/5±1±11±1/5.Read more on Rational Root Theorem;
https://brainly.com/question/4251786
What is-1 5/6 times 6 1/2
Answer:
-11.9166666667
Step-by-step explanation:
Answer:
-11.9166666667
Step-by-step explanation: I just seached it up
Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold
Answer: 21 cupcakes and 33 cookies were sold.
Step-by-step explanation:
Let x= Number of cupcakes
y = Number of cookies
As per given,
x+y= 54 (i)
Cost: 2.25x+0.25y=55.50 (ii)
Multiply 0.25 to (i0, we get
0.25x+0.25y = 0.25(54)
⇒0.25x+0.25y = 13.5 (iii)
subtract (iii) from (ii), we get
2x=42
Divide both sides by 2, we get x= 21
Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33
Hence, 21 cupcakes and 33 cookies were sold.
what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]
Answer:
9
Step-by-step explanation:
5. (01.07A MC)
Which number line best shows the position of ? (5 points)
J7
HHHH +
-4 -3
-1 0 1 2
+
4
-2
3
3
7
HHH H
-4 -3 -2 -1 0 1 2 3
+
4
7
HH
-4
-3 -2
-1 0 1 2
3
4
-
OL
7
t. +
3 4 5
-5 -4
-3 -2
-1 0 1 2
Answer:
if u could include a photo it may help more ..thanks
2(x-5)=4x+7
solve for x
Answer:
x=-6
Step-by-step explanation:
what is the product of 2(-4)
Answer:
-8
Step-by-step explanation:
First, write it out in standard form:
2 x (-4)
Then multiply!
Answer:
-8
Step-by-step explanation:
it is basically 2 x -4 and a negative times a positive is a negative which makes it -8
RECO
Which expression is equivalent to 3x – 1/2y+2 2/3y-5/6x
Answer:
13 ( x + y ) / 6
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?
The constant is 18
To find distance (d) you would multiply the constant by the time(t).
D = 18t
Distance is speed x time, so the given constant would be the speed of the ant.
32 Over 8 = 28 Over x
a. x = 4
c. x = 8
b. x = 28
d. x = 7
Answer:
d. x = 7
Step-by-step explanation:
32/8 = 28/x
simplify the fraction
4/1 = 28/x
cross multiply:
4x = 28
divide both sides by 4:
x = 7
PLSSS HELPPPPP ASSAAAPPPP
Answer:
∡BEN=122
x=17
Step-by-step explanation:
Since you know that when two sides are congruent like this then the to angles are congruent then you know that angle BNE equals 29.
Once you know that since we know that 180 is the sum of all three angles set an equation like this:
180=29+29+(11x-65)
Take off parentheses since you can't simplify in them.
180=29+29+11x-65
Combine like terms.
180=11x-7
Solve for x.
187=11x
x=17
Plug that in to (11x-65) to find angle BEN
angle BEN = 11(17)-65
angle BEN=122
Is 4:5 equivalent to 8:10 as radios?
Charles walked on a treadmill 16 3/4 miles over 4 days. How many miles did he walk per day?