Answers
Answer:
Part one:
In terms of price;
[tex]2x + \frac{5}{2} y = 19 \\ \\ 4x + 5y = 38 - - - (equation \: \: 1)[/tex]
In terms of people, each person will get one snack:
[tex]x + y = 8 - - - (equation \: \: 2)[/tex]
Part two:
[tex]in \: equation \: 2 : \\ x = 8 - y \\ substitute \: for \: x \: in \: 1 : \\ 4(8 - y) + 5y = 38 \\ 32 - 4y + 5y = 38 \\ y = 6 \\ \\ therefore : x = 2[/tex]
Sam bought 2 bags of chips
Related Questions
2x squared minus 1 equals 21
Answers
Answer:
x = √11
Step-by-step explanation:
2x² - 1 = 21
add 1 to both sides
2x² - 1 + 1 = 21 + 1
simplify
2x² = 22
x² = 22 / 2
x = √11
Answer:
x = √11
Step-by-step explanation
2x² - 1 = 21
negative sign crossing an equal to sign becomes a positive sign
2x² - 1 = 21 + 1
2x² = 22
x² = 22 / 2
x = √11
I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3
Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?
Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?
Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?
Answers
Answer:
It's Micheal because he started with 6 and added 15 and he divided them into 3 piles
The base of a right triangle is increasing at a rate of 2 meters per hour and the height is decreasing at a rate of 3 meters per hour. When the base is 9 meters and the height is 22 meters, then how fast is the HYPOTENUSE changing
Answers
Answer:
dL/dt = - 2,019 m/h
Step-by-step explanation:
L² = x² + y² (1) Where x, and y are the legs of the right triangle and L the hypotenuse
If the base of the triangle, let´s call x is increasing at the rate of 2 m/h
then dx/dt = 2 m/h. And the height is decreasing at the rate of 3 m/h or dy/dt = - 3 m/h
If we take differentials on both sides of the equation (1)
2*L*dL/dt = 2*x*dx/dt + 2*y*dy/dt
L*dL/dt = x*dx/dt + y*dy/dt (2)
When the base is 9 and the height is 22 according to equation (1) the hypotenuse is:
L = √ (9)² + (22)² ⇒ L = √565 ⇒ L = 23,77
Therefore we got all the information to get dL/dt .
L*dL/dt = x*dx/dt + y*dy/dt
23,77 * dL/dt = 9*2 + 22* ( - 3)
dL/dt = ( 18 - 66 ) / 23,77
dL/dt = - 2,019 m/h
Using implicit differentiation and the Pythagorean Theorem, it is found that the hypotenuse is changing at a rate of -2.02 meters per hour.
The Pythagorean Theorem states that the square of the hypotenuse h is the sum of the squares of the base x and of the height h, hence:
[tex]h^2 = x^2 + y^2[/tex]
In this problem, [tex]x = 9, y = 22[/tex], hence, the hypotenuse is:
[tex]h^2 = 9^2 + 22^2[/tex]
[tex]h = \sqrt{9^2 + 22^2}[/tex]
[tex]h = 23.77[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]2h\frac{dh}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
Simplifying by 2:
[tex]h\frac{dh}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]
The rates of change given are: [tex]\frac{dx}{dt} = 2, \frac{dy}{dt} = -3[/tex].
We want to find [tex]\frac{dh}{dt}[/tex], hence:
[tex]h\frac{dh}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]
[tex]23.77\frac{dh}{dt} = 9(2) + 22(-3)[/tex]
[tex]\frac{dh}{dt} = \frac{18 - 66}{23.77}[/tex]
[tex]\frac{dh}{dt} = -2.02[/tex]
The hypotenuse is changing at a rate of -2.02 meters per hour.
A similar problem is given at https://brainly.com/question/19954153
Sixteen increased by twice a
number is -56. Find the number.
Answers
Answer:
increased = addition
twice = multiply by 2
is = equals
a number = x
16+2x=-56
subtract 16 from both sides
2x=72
divide by 2
x=36
Step-by-step explanation:
mark me a brainlistWhich system of equations is represented by the graph?
Answers
Answer:
[tex]y=x\\\\y=\dfrac{-x+10}{x-4}[/tex]
Step-by-step explanation:
Red line is increasing and for any x goes the same y, so it's y = x
The blue graph is [tex]y=\dfrac a{x-h}+k[/tex], where h=4 and k =-1 and for x=5 also y=5
It gives:
[tex]5=\dfrac a{5-4}+(-1)\\5=a-1\\a=6[/tex]
So:
[tex]y=\dfrac6{x-4}-1 =\dfrac6{x-4}-\dfrac{x-4}{x-4} =\dfrac{6-x+4}{x-4}=\dfrac{-x+10}{x-4}[/tex]
how many are 3 raised to 2 ???
Answers
Answer:
[tex]\huge \boxed{9}[/tex]
Step-by-step explanation:
3 raised to 2 is 3 to the power of 2.
[tex]3^2 =3 \times 3 = 9[/tex]
3 is multiplied by itself.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
Answers
This value is approximate.
=========================================================
Work Shown:
First we need to find angle C
A+B+C = 180
46+73+C = 180
119+C = 180
C = 180 - 119
C = 61
This is not the final answer, so answer choice B is likely a trick/trap answer.
We'll use this angle value to help find side c. Use the law of sines
c/sin(C) = b/sin(B)
c/sin(61) = (32.3)/sin(73)
c = sin(61)*(32.3)/sin(73)
c = 29.5410185554849 which is approximate
c = 29.5 which points us to choice A as the final answer.
I DON'T WANT TO BE HOMESCHOOL I WANT REAL SCHOOL SO OPEN BACK UP
Answers
Answer:
I agree.
Step-by-step explanation:
Where I am, our parents had a choice, to chose whether they wanted us to go back to school or to do it online, and my grandma has me down for online, and I hate it so much.
if ABCD is a square where A(-4;2) B(-2;-1) C(1;1) , determine the coordinates of of D
Answers
Answer:
(4;-1)
Step-by-step explanation:
Make up an expression of your own that satisfies the following:
Must have at least: 4 terms, 1 constant, 2 variables with coefficients and appropriate
operation signs.
Answers
There are infinitely many ways to answer this as there is no one single answer to pick from.
Here is one possible answer: x^3 + 5x^2 + 7x + 12The four terms are x^3, 5x^2, 7x and 12. They are separated by the plus signs.
The constant is 12. It does not have any variable attached to it.
Terms 5x^2 and 7x have coefficients of 5 and 7 respectively.
The leading term x^3 has a coefficient of 1, but 1*x^3 = x^3, meaning it's convention to leave the 1 out. So technically x^3 does not have a coefficient directly written/shown. Instead, its more implied.
Select the equivalent expression.
(x^-3*y^3)^-7=?
Choose 1 answer:
Answers
Answer:
The equivalent expression for this equation is x²¹ × y⁻²¹
Step-by-step explanation:
When you are multiplying exponents that are in parentheses, you multiply the exponential numbers together. So, for this problem, we will multiply the exponents together so we can get our final equivalent expression.
(x⁻³ × y³)⁻⁷
So, we will multiply -3 by -7 and we will also multiply 3 by -7 because those are our exponential numbers.
x²¹ × y⁻²¹
So, this is the final expression that is equivalent to our equation.
The expression (x⁻³.y³)⁻⁷ is equivalent to x ²¹ . y ⁻²¹.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given expression is,
(x⁻³.y³)⁻⁷
To find the solution for the expression,
Simplify the power terms,
x⁽⁻³ˣ⁻⁷⁾ . y ³ˣ⁻⁷
x ²¹ . y ⁻²¹
The simplified form of the expression (x⁻³.y³)⁻⁷ is x ²¹ . y ⁻²¹.
Hence, option (A) is correct.
To know more about Algebra on:
https://brainly.com/question/24875240
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how does translation affect the properties of a two-dimensional figure? please i need help
Answers
Answer:
It affects the location of the shape and how the shape looks. It doesn't affect the area or perimeter though.
Step-by-step explanation:
find the product of the first 3 positive integers and then the first 5 negative integers.
Answers
Answer:
6 and -120
Step-by-step explanation:
The first 3 positive integers are 1, 2 and 3 and their product is 6, the first 5 negative integers are -1, -2, -3, -4 and -5 and their product is -120.
Find the square root of 7250 by prime factorisation.
Answers
Answer:
The square root of 7250 is 85.15
Step-by-step explanation:
[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]
Find square roots of divisors:
[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
helphelphelphelphelphelp
Answers
Answer:
see image
Step-by-step explanation:
#1 why is it B？
No idea someone help plz
Answers
Answer:
Option (B)
Step-by-step explanation:
1). Given function is,
[tex]f(x)=\frac{1}{x-1}+3[/tex]
It the given function 'f' is transformed by a translation of 2 units to the right, the new function will be,
h(x) = f(x - 2)
h(x) = [tex]\frac{1}{(x-2)-1}+3[/tex]
= [tex]\frac{1}{x-3}+3[/tex]
Further the new function is translated by 6 units down,
g(x) = h(x) - 6
g(x) = [tex]\frac{1}{x-3}+3-6[/tex]
= [tex]\frac{1}{x-3}-3[/tex]
Since, transformed function 'g' passes through a point (x, -2),
g(x) = [tex]\frac{1}{x-3}-3[/tex]
-2 = [tex]\frac{1}{x-3}-3[/tex]
3 - 2 = [tex]\frac{1}{x-3}[/tex]
x - 3 = 1
x = 4
Therefore, Option (B) will be the answer.
what is the area of the shaded region?
Answers
Answer:
330.00cm²
Step-by-step explanation:
find the area of both circles and subtract the smaller one from the bigger one.
area of a circle= πr²
π wasn't given so I will use 22/7
so area of the bigger circle = 22/7 × 11²
=22/7 × 121
=380.28cm²
area of the small circle=22/7 × 4²
= 22/7 × 16
= 50.28cm²
Area of the shaded portion = 380.28 - 50.28
= 330.00cm²
find the missing part of the proportion 12/x = 3/7 x= _
Answers
Answer:
x = 28
Step-by-step explanation:
12/x = 3/7
Using cross products
3x = 12*7
3x = 84
Divide by 3
x = 28
Cylinder A has a radius x and height y. Cylinder B has radius y and height x. What is the ratio of the volume of Cylinder A to the volume of cylinder B
Answers
Answer:
Step-by-step explanation:
Draco is a daddy’s boy
Refer to picture
Need help on Q.8
Answers
Answer:
Rajan = 436.36 rupees and Kamal = 363.63 rupees
Step-by-step explanation:
Total ratio = 11/30
Amount to be shared = 800
Rajan = Individual ratio / Total ratio x the total amount to be shared
1/5 ÷11/30 × 800 = 436.36
Kamal = 1/6 ÷ 11/30 × 800 = 363.63
factorize. xy^2-y(x-z) -z
Answers
Answer:
The equation x The equation x 2The equation x 2 +xy+xz+yz can be factorised as follows:The equation x 2 +xy+xz+yz can be factorised as follows:x The equation x 2 +xy+xz+yz can be factorised as follows:x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2The equation x 2 +xy+xz+yz can be factorised as follows:x 2 +xy+xz+yz=(x 2 +xy)+(xz+yz)=x(x+y)+z(x+y)=(x+z)(x+y)Hence, x 2 +xy+xz+yz=(x+z)(x+y)Answer:
= (y-1) (xy-z)
Step-by-step explanation:
First we expand them -
= xy^2 - xy - yz - z
= xy(y-1)-z(y-1)
= (y-1) (xy-z)
Hope this helped
One day, 45 frogs were captured from a pond, marked and then returned to the pond. The next day, 40 frogs were observed in the pond, of which 10 had been marked the previous day. Assuming the marked frogs are equally distributed among all the frogs in the pond, what is the best estimate of how many frogs live in the pond
Answers
Answer:
45
Step-by-step explanation:
estimate
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y =
x2 +
x +
.
Answers
Answer:
Step-by-step explanation:
Hello, we know that if the equation is
[tex]y=a(x-h)^2+k[/tex]
Then the vertex is the the point (h,k)
Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,
[tex]y=a(x-(-2))^2-20=a(x+2)^2-20[/tex]
On the other hand, we know that the y-intercept is (0,-12) so we can write
[tex]-20=a(0+2)^2-12=4a-12\\\\\text{We add 12 and we divide by 4.}\\\\4a = -20+12=-8\\\\a = \dfrac{-8}{4}=-2[/tex]
So the equation becomes.
[tex]\boxed{y=-2(x+2)^2-12}[/tex]
And we can give the standard form as below.
[tex]y=-2(x+2)^2-12=-2(x^2+4x+4)-12\\\\=-2x^2-8x-8-12 \ <=>\\\\\boxed{y=-2x^2-8x-20}[/tex]
Thank you.
Answer:
this is wrong it needs to be 2 positives
Step-by-step explanation:
A cartoon has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet what is the volume of the cartoon?
A: 2 cubic feet
B: 2 1/3
C: 4 cubic feet
D: 4 2/3
Answers
B: 2 1/3
Step-by-step explanation:
Volume = length x width x height
Volume = 1 2/3 x 1 1/6 x 1 1/5
Volume = 2 1/3
Please solve, -37-2v= -6(2v-3)-5
Answers
Answer:
[tex]\huge\boxed{v=5}[/tex]
Step-by-step explanation:
[tex]-37-2v=-6(2v-3)-5\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\-37-2v=(-6)(2v)+(-6)(-3)-5\\\\-37-2v=-12v+18-5\\\\-37-2v=-12v+(18-5)\\\\-37-2v=-12v+13\qquad\text{add 37 to both sides}\\\\-37+37-2v=-12v+13+37\\\\-2v=-12v+50\qquad\text{add}\ 12v\ \text{to both sides}\\\\-2v+12v=50\\\\(-2+12)v=50\\\\10v=50\qquad\text{divide both sides by 10}\\\\\dfrac{10v}{10}=\dfrac{50}{10}\\\\v=5[/tex]
Answer:
v = 5
Step-by-step explanation:
-37 -2v = -6 (2v - 3) - 5
-2v - 37 = -6 (6*2v - 6*3) - 5
-2v - 37 = - (12v - 18) - 5 combine like terms
-37 - 18 + 5 = -12v + 2v
-50 = -10v
v = -50 / -10
v = 5
a 6 foot tall man casts a shadow that is 9 ft long. At the same time, a tree nearby casts a 48 ft shadow. how tall is the tree
Answers
Answer:
32 ft tall
Step-by-step explanation:
Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.
SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.
We know the tree's shadow is 48 ft.
--> 48/3 = 16
16 x 2 = 32
32 ft tall
Hope this helps!
Answer: 32ft tall
Step-by-step explanation:
A. 4
B.-1/4
C. 4
D. 1/4
Answers
(I'm so confused please help)
Suppose M is the midpoint of XY. If XM = 2x + 11 and MY = 5x - 16, find the value of X.
A) x = -4
B) x = 4
C) x = -9
D) x = 9
E) x = 2
My math:
2x + 11 = 5x + 16
(-5x and -11 from both sides)
-3x=5
(divide -3 on each side)
x=-5/3
But it isn't an option, so I don't know.
Answers
Answer:
D
Step-by-step explanation:
Instead of 2x + 11 = 5x + 16, you should have put 2x+11 = 5x - 16. There is a sign change right before the 16, and you may have accidentally written down +16 instead of -16. I think that's where the problem is.
2x + 11 = 5x - 16
subtract 5x from both sides to make all variables on one side
-3x + 11 = -16
subtract 11 from both sides to isolate the x and its coefficient
-3x = -27
divide both sides by -3 to isolate x
x = 9
Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter.
Answers
Answer:18.87
Step-by-step explanation:
to find the hypotenuse of a triangle, A^2 + B^2 = C^2 if A and B are sides and C is the Hypotenuse. 100 + 256 is 356, so C^2 is 356. to find C, we square root both sides. thus C^2 becomes C, and 356 becomes the square root of 356, which is 18.8679623... and rounded to the nearest 10th of a centimeter that's 18.87
Hope this helps!
hypotenous= 18.8679cm
What is the difference between {2,3} and {{2,3}}
Answers
[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3
[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]