Answer:
cookies (x): 6 soldchips (y): 18 soldStep-by-step explanation:
It is convenient to let a graphing calculator draw the graph for you. It can also display the solution: (x, y) = (6, 18).
__
The equations of interest are ...
x + 2y = 42 . . . . . . revenue from sale of x cookies and y chips
y = 3x . . . . . . . . . . 3 times as many chips as cookies
Answer:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of packs of cookies sold}
the number of packs of cookies sold
y=
y=
\,\,\text{the number of bags of chips sold}
the number of bags of chips sold
Each pack of cookies sells for $1, so xx packs of cookies will bring in 1x1x dollars. Each bag of chips sells for $2, so yy bags of chips will bring in 2y2y dollars. Therefore, the total amount 1x+2y1x+2y equals \$42:$42:
1x+2y=42
1x+2y=42
Since Kylie sold 3 times as many bags of chips as packs of cookies, she sold more bags of chips, so if we multiply 3 by the number of packs of cookies sold, we will get the number of bags of chips sold, meaning yy equals 3x.3x.
y=3x
y=3x
\underline{\text{Write System of Equations:}}
Write System of Equations:
1x+2y=
1x+2y=
\,\,42
42
y=
y=
\,\,3x
3x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
\begin{aligned}\color{indianred}{1x}+2y = 42\hspace{10px} & \hspace{10px}\color{green}{y}\color{green}{=}\color{green}{3x} \\[10px] 2y = \color{indianred}{-1x}+42\hspace{10px} & \hspace{10px} & \\[10px] \frac{2y}{2} = \frac{-1x+42}{2}\hspace{10px} & \hspace{10px} & \\[10px] \color{blue}{y} \color{blue}{= -\frac{1}{2}x+21}\hspace{10px}\hspace{10px} & \hspace{10px} & \end{aligned}
1x+2y=42
2y=−1x+42
2
2y
=
2
−1x+42
y=−
2
1
x+21
y=3x
Step-by-step explanation:
Complete the conditional statement. If 2 > -a, then _____.
Well, in this case we can take a as the protagonist.
We can, for example, take the a in the first member of the disequation, the 2 in the second one, changing the signs
so
+ 2 > - a
a > - 2
In fact,
"If 2 > - a, then a > -2."
Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?
Answer:
1176in^2
Step-by-step explanation:
find the surface area of the cube
(14*14)6=1176 inches cubed
14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are
Answer:
[tex]\large\boxed{1,176 in^{2} }[/tex]
Step-by-step explanation:
The cube is 14 inches tall
All of the sides in a cube are the same, which means:
Length = 14 inches
Width = 14 inches
Height = 14 inches
There are 6 sides in a cube. Each side has a length and a width.
We can use the following formula to find the surface area (SA) of the cube, or how much wrapping paper Jayde will use.
SA = # of Sides(Length(Width))
Plug in known values
SA = 6((14)(14))
The 14s represent the length and width while the 6 represents the number of sides in the cube.
Solve/Simplify
SA = 6(196)
SA = 1,176 inches²
Jayde will need to use 1,176 in² of wrapping paper to wrap the whole present.
Hope this helps :)
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
Find the distance of (2,5) and (-1,3)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Insert the values:
[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]
Simplify:
[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]
The distance between the two points is the square root of 13.
:Done
Answer: [tex]\sqrt{13}[/tex] or 3.61
Step-by-step explanation:
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]
[tex]\sqrt{9+4}[/tex]
[tex]=\sqrt{13}[/tex]
a circular hall has a hemispherical roof. the greatest height is equal to the internal diameter .if the capacity of the hall is 43510 m^3 ,then the area of the floor is
This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)
The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.
At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.
------------------------------
Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3
Note how I replaced h with r and simplified.
Also,
Volume of hemisphere = (1/2)*(volume of sphere)
Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )
Volume of hemisphere = (2/3)*pi*r^3
------------------------------
Add the two volume expressions
total volume = (volume of cylinder) + (volume of hemisphere)
total volume = (pi*r^3) + ( (2/3)*pi*r^3 )
total volume = (3/3)pi*r^3 + (2/3)pi*r^3
total volume = (5/3)pi*r^3
------------------------------
Set this equal to 43510 and solve for r
(5/3)pi*r^3 = 43510
pi*r^3 = (3/5)*43510
pi*r^3 = 26106
r^3 = 26106/pi
r = (26106/pi)^(1/3)
r = 20.2549023450428
The building has a radius of approximately 20.2549023450428 meters
------------------------------
We can now compute the area of the circular floor
area = pi*r^2
area = pi*(20.2549023450428)^2
area = 1,288.87316044698
Answer: approximately 1288.87316044698 square metersRound this however you need to
help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9
2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?
Answer:
0
Step-by-step explanation:
The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.
Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5)
Answer:
y=6x-23
Step-by-step explanation:
-5=6(3)+b
-5=18+b
b=-23
If this helps, plz give brainly, I rlly need it!
Answer:
6x-23
Step-by-step explanation:
Maya wrote the expression 3 + 5 + 4.5 to represent the total distance that she traveled. Which statement best describes Maya’s expression?
Answer:
A is the answer .Step-by-step explanation:
You can add the numbers in different ways but still get the same answer.
1. 3 + 5 + 4.5 = 12.5
2. 5 + 3 + 4.5 = 12.5
3. 3 + 4.5 + 5 = 12.5
4. 5 + 4.5 + 3 = 12.5
5. 4.5 + 5 + 3 = 12.5
6. 4.5 + 3 + 5 = 12.5
These a couple of different ways you can add the numbers to get the same answer. This shows proof of how the associative property is related and gets you the correct answer no matter how the numbers are positioned.
P.S - You can solve this for different numbers.
Hope this helped,
Kavitha
23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.
Answer:
Step-by-step explanation:
a) area of rhombus = 1/2 × d1 × d2 = 90cm^2
here d1 and d2 are the diagonals
d1 = 18 cm
1/2 × 18 × d2 = 90
9 × d2 = 90
d2 = 90/9
d2 = 10 cm
∴The length of other diagonal is 10 cm
b) d1 = 28 cm
d2 = 24 cm
area = 1/2 × d1 × d2
= 1/2 × 28 × 24
= 336 cm^2
∴ The are of the rhombus = 336 cm^2
Hope this helps
plz mark as brainliest!!!!!
2x squared minus 1 equals 21
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
What collateral secures a mortgage?
O A.
5% of the purchase price of the house
B.
the house itself
C.
10% of the purchase price of the house
D.
none
Answer:
The House
Step-by-step explanation:
Find the slope of the line passing through the points (-9, -3) and (7,-7).
DI
DD
Undefined
$
?
Answer:
-1/4
Step-by-step explanation:
Slope = y/x - y1/x1
=> -7/7 - (-3/-9)
=> -7 +3 / 7+9
=> -4/16
=> -1/4
The slope for the given coordinates of points is -1/4.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given points are (-9, -3) and (7,-7).
The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,
m = (y₁ - y₂)/(x₁ - x₂)
Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,
⇒ m = (-3 + 7)/(-9 - 7)
⇒ -1/4
Hence, the slope is obtained as -1/4.
To know more about slope click on,
https://brainly.com/question/3605446
#SPJ1
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Learn more information about 'Algebraic expression ' here:
brainly.com/question/2193741
Is there an association between favorite core subject and favorite elective? If so, describe it.
Answer:
Yes
Step-by-step explanation:
Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.
While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.
5. The volleyball team has a double-header on Friday. The probability that they
will win both games is 38%. The probability that they will win just the first game is
70%, What is the probability that the team will win the second game given that
they have already won the first game?
Answer: 54.29%
Step-by-step explanation:
Given: The probability that they will win both games is 38%.
i.e. P( both games will win) =0.38
The probability that they will win just the first game is 70%.
P(first game will win) = 0.70
To find : P(second game will win| first game will win)
Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]
So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]
[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]
Hence, the required probability = 54.29%
Myra wants to practice the piano for at least 22 minutes each day. Which of the following inequalities represents the number of minutes Myra will practice piano?
Answer:
[tex]x\geq 22[/tex]
Step-by-step explanation:
If someone wants to practice for at least 22 minutes a day, they want to practice 22 minutes or more. This is the same as greater than or equal to, and we want the minutes practices to be greater than or equal to 22. We can assume minutes practiced is x, and create the inequality [tex]x\geq 22[/tex].
Hope this helped!
maggie’s brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie
Answer:
I HOPE IT WILL WORK
Step-by-step explanation:
let age of Maggie =x years
as given that Maggie brother is 3 year less than twice of her age
hence
brother = (2x-3) years
also given that sum of ages =24
hence
x+(2x-3)=24
3 x-3=24
3 x=27
x=9 years Maggie
so his brother=9-3=6 years
pls hit the star and brainlist it if you found it helpfull thanks
After taking off from the landing pad, a helicopter flies 3 miles west, then 2 miles southeast. How far is the helicopter from the landing pad? If someone could explain to that would be very helpful
Answer:
When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.
Line ab is the 2 miles southeast the plane flies.
Line ac = line cb
sine (45º) = opposite / hypotenuse = cb / 2
.70711 = cb / 2
cb = 1.41422 miles = line ac
Line cs = 3 - 1.41422 = 1.58578
Line x^2 = cs^2 + cb^2
Line x^2 = 2.5146982084 + 2.0000182084
Line x^2 = 4.5147
Line x = 2.1248
Step-by-step explanation:
Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:
hy
What set of transformations is performed on EFGH to form E'F'G'H'?
Answer:
A translation 3 units to the right and a 90-degree clockwise rotation
Step-by-step explanation:
solve for y. -y/3 = -23 simplify your answer as much as possible
Answer:
69
Step-by-step explanation:
-y/3 = -23
=> -y = -23 x 3
=> -y = -69
=> y = 69
Answer:
69
Step-by-step explanation:
We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69
trigonometry help got one right need help with another
Answer:
B. [tex] \frac{HI}{GI} [/tex]
Step-by-step explanation:
The trigonometric ratio formula for tangent of any angle in a right triangle is given as:
tan(θ) = [tex] \frac{opposite}{adjacent} [/tex]
Note: it is the length of the side opposite to the θ, and the length of the side adjacent to θ.
Thus, in the right triangle given, ∆GHI,
θ = <G
The length of side the opposite <G = HI
The length of the side adjacent to <G = GI
Therefore, the equivalent of tan(<G) = [tex] \frac{HI}{GI} [/tex]
Which number is equal to 10^-3?
-1,000
-30
0.001
0.003
Work Shown:
10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001
The rule used here is x^(-k) = 1/( x^k )
Answer:
C. O.001
Step-by-step explanation:
10^-3 = (1)/(10^3)
move the negative exponent to the denominator
(1)/(1000)
simplify 10^3 in the denominator
(1)/(1000) = 0.001
Please help me answer I need an answer asap:3
Answer:
please mark my answer brainliest
Step-by-step explanation:
it's 115
Answer:
115 degrees.
Step-by-step explanation:
< DBC = (180 - 40) / 2 = 70 ( as it is a base angle of an isosceles Δ)
< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).
So < EBC = 70 + 45 = 115 degrees.
Get this correct i will give u brainliest.
Answer:
x = - 2, y = - 8
Step-by-step explanation:
Given the 2 equations
13x - 6y = 22 → (1)
x = y + 6 → (2)
Substitute x = y + 6 into (1)
13(y + 6) - 6y = 22 ← distribute and simplify left side
13y + 78 - 6y = 22
7y + 78 = 22 ( subtract 78 from both sides )
7y = - 56 ( divide both sides by 7 )
y = - 8
Substitute y = - 8 into (2) and evaluate for x
x = - 8 + 6 = - 2
Thus x = - 2, y = - 8
Figure ABCD is a rectangle Find the value of x
Step-by-step explanation:
Since this is a rectangle these two equations for the length have to equal each other.
2x+4=7x-1
We now need to get all of the x's on one side and constant numbers on the other side.
add 1 to both sides and subtract 2x from both sides.
5=5x
divide 5 from both sides.
x=1
PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!!
Answer:
x=150°
Step-by-step explanation:
Using the vertical angle theorem, you can infer that AEC and DEB are in fact the same angle, 20°, and the same goes for FED and CEG, both 130°.
So, x spans AEC and CEG so is 20° + 130° = 150°
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?
Answer:
722059884 if there are 232323 students
if there are 23 students its 71484
Step-by-step explanation:
hope this helps
Answer: The answer is 644
Step-by-step explanation:
23x4x7=644
which one represents translation
Answer:
The third one
Step-by-step explanation:
Translation is when it moves
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]