Answer:
The jelly beans cost $2.25 / pound
The trail mix costs $1.25 / pound
Step-by-step explanation:
Let +a+ = cost/pound of jelly beans
Let +b+ = cost/pound of trail mix
(1) 6a + 2b =16
(2) 3a + 5b =13
Multiply both sides by 2
and subtract (1) from (2)
(2) 6a -2b = -16
(1) -6a -2b = -16
8b=10
b=1.25
and
(1) 6a+2b=16
(1) +3a+b=8
(1) 3a+1.25=8
(1) +3a=6.75
(1) a=2.25
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)
Answer:
1) 720
2) 540
3) x = -1
4) x = 10
Step-by-step explanation:
The formula for finding the sum of interior angles in a polygon is the following,
[tex]S=180(n-2)[/tex]
Where (S) represents the sum of interior angles, and (n) represents the number of sides.
1)
The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]
2)
This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
3)
The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.
(55) + (x + 36) + (90) = 180
Simplify,
181 + x = 180
Inverse operations,
181 + x = 180
x = -1
4)
The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.
<F + <G = <FEZ
Substitute,
(4x) + (-5 + 7x) = 105
Simplify,
4x - 5 + 7x = 105
11x - 5 = 105
Inverse operations,
11x - 5 = 105
11x = 110
x = 10
What is the reference angle for 5pi over 3?
a. pi over 6
b. pi over 3
c. 2pi over 3
Answer:
b. pi over 3 ig~~~~~~~~~~~~~~~
Answer:
(b) pi over 3 is correct
Step-by-step explanation:
EDGE 2022
There were 14 dogs adopted from the animal shelter last week. This week, 8 dogs were adopted .There are 5 dogs left. How many dogs, d, did the shelter have for adoption?
Answer:
d=27
Step-by-step explanation:
A total of 14+8=22 dogs were adopted. Since there are 5 left, there were 22+5=27 dogs up for adoption.
Keeping the place of the digit 6 in the number 6350947 same, the smallest number obtained by
rearranging other digits is
The smallest number is 6034579.
Answer:
6034579 hope this helps!!
explanation:
We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.
algebra
huh still difficult and will always be.
Someone just...…..
please help me to figure out this
Answer:
[tex]z = 6[/tex]
Step-by-step explanation:
Let's solve:
[tex]5(z+1)=3(z+2)+11[/tex]
Step 1: Simplify both sides of the equation.
[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\
5z+5=3z+6+11 \\
5z+5=(3z)+(6+11)(Combine Like Terms) \\
5z+5=3z+17 \\
5z+5=3z+17[/tex]
Step 2: Subtract 3z from both sides.
[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]
Step 3: Subtract 5 from both sides.
[tex]2z+5−5=17−5 \\ 2z=12[/tex]
Step 4: Divide both sides by 2.
[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]
Find the projection of u = <–6, –7> onto v = <1, 1> a. <-13/2,-13/2> b. <39,91/2> c. <-13/1764,-13/1764> d. <-2/13,-2/13>
a. <-13/2,-13/2>
Step-by-step explanation:The projection of a vector u onto another vector v is given by;
[tex]proj_vu[/tex] = [tex](\frac{u.v}{|v|^2})v[/tex] ----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
Now;
Let's find the following
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| = [tex]\sqrt{(1)^2 + (1)^2}[/tex]
|v| = [tex]\sqrt{2}[/tex]
Substitute these values into equation (i) as follows;
[tex]proj_vu[/tex] = [tex][\frac{-13}{(\sqrt{2}) ^2}][i + j][/tex]
[tex]proj_vu[/tex] = [tex]\frac{-13}{2} [i + j][/tex]
This can be re-written as;
[tex]proj_vu[/tex] = [tex]\frac{-13}{2}i + \frac{-13}{2}j[/tex]
[tex]proj_vu[/tex] = [tex]<\frac{-13}{2}, \frac{-13}{2}>[/tex]
A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?
a rectangle with one side against a vertical line
solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone
Answer:
Preetyy sure its D
Step-by-step explanation:
Its not a hollow cylinder
The resulting object will be a solid cylinder. Then the correct option is A.
What is a solid revolution?When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.
A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.
Then the resulting object will be
If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.
The diagram is shown below.
Learn more about solid of revolution here:
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please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
The total amount paid by a member according to this table is
Total Amount Paid = fee + monthly fee(# of months)
Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.
Row 1:
TAP = fee + 15(#months)
135 = fee + 15(4) and
135 = fee + 60 so
fee = $75
Row 2:
165 = fee + 15(6) and
165 = fee + 90 so
fee = $75
Row 3:
255 = fee + 15(12) and
255 = fee + 180 so
fee = $75
Apparently, the fee is $75.
Which of the following accurately shows the range of the function defined below?
A.[3, infinity)
B.[2, infinity)
C.[3,6]
D.(- infinity, infinity)
Answer:
[2, positive infinity)
Step-by-step explanation:
the range is the interval of possible y-values or f(x) values.
for x<0 y is always and only 3.
for x between 0 and 2, y = x² + 2.
it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.
y = 0² + 2 = 2
for x larger or equal to 2, y = (1/2)×x + 5.
it again increases with increasing x. the smallest x here is 2.
y = (1/2)×2 + 5 = 1 + 5 = 6.
so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.
Find the area of the square ABCD.
Answer:
A =196 m^2
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = 14^2
A =196 m^2
Brainliest, 35 points
Answer:
13 1/2
Step-by-step explanation:
9 ÷ 2/3
Copy dot flip
9 * 3/2
27/2
Change from an improper fraction to a mixed number
2 goes into 27 13 times with 1 left over
13 1/2
Please hurry
Express cos J as fraction in simplest terms
Answer:
cosJ = 40/41
Step-by-step explanation:
cosJ = b/h = 40/√(40²+9²)= 40/41
Do anyone know this question?
Answer:
average revenue
gross profit
total revenue
net profit
marginal revenue
Step-by-step explanation:
helppppp plssssssssssss
Suppose that 0.10 of population is colourblind if 25of sample drown from this population find probability that at least 7 have coroblind
Answer:
[tex]P(X \geq 8)=22*10^{-4}[/tex]
Step-by-step explanation:
From The Question we are told that
Prob that population is colourblind [tex]P(C)=0.10[/tex]
Sample size [tex]N=25[/tex]
Generally the equation for Number of color blinds is mathematically given by
[tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]
[tex]P(X \geq 8)=22*10^{-4}[/tex]
Which equation finds the volume of a cube with a side length of 2 n Superscript 6 units?
Step-by-step explanation:
(2n^6)^3=8n^18 cubic units
Answer:
(2 n Superscript 6 Baseline) cubed = 8 n Superscript 18 cubic units
Step-by-step explanation:
edge
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D
Answer:
Expression B: 0.8p
Expression D: p - 0.2p
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C:1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
Regular price of the item = $p
Sale price = 20% off regular price
Sale price = $p - 20% of p
= p - 20/100 * p
= p - 0.2 * p
= p - 0.2p
= p(1 - 0.2)
= p(0.8)
= 0.8p
The sale price is represented by the following expressions
Expression B: 0.8p
Expression D: p - 0.2p
Does the equation y = x(x - 3) represent a linear function
Answer:
No
Step-by-step explanation:
No. You can see why if you remove the brackets.
y=x^2 - 3x.
A linear function must have x and y with powers of 1. Also it can't something like x^2 - y^2 = 5
x^2 - y^2 = 0 is the only exception I can think of, but that really is a system of equations. If you graph it. you get two equations which cross at 0 and nowhere else.
The length of a rectangle is three times its width.
The perimeter of the rectangle is 96 cm.
Label the diagram with the correct length and width for the rectangle
cm
cm
The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning
Translate this phrase into an algebraic expression.
49 decreased by twice Vanessa's age
Use the variable y to represent Vanessa's age.
Answer:
49 - 2y
Step-by-step explanation:
y to represent Vanessa's age.
49 decreased by twice Vanessa's age
decreased by means subtract, twice means 2 times
49 - 2y
I've been learning this but I don't remember how to find x?
Answer:56 degrees
Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.
Answer:
the answer is x = 56 degrees
and your not finding the side lengths
Step-by-step explanation:
there is 2 62 degrees,
meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either
so x = 56
Mr Kent sells calculators for $35 each. If an order is placed from a business account, there is a $50 shipping fee, and no fewer than 100 calculators can be purchased. Which is a reasonable amount of money that a business would spend when ordering calculators?
Answer:
The reasonable amount is $3550 or greater
Step-by-step explanation:
Given
[tex]c=\$50[/tex] ---- shipping fee
[tex]r =\$35[/tex] --- unit selling price
[tex]n \to[/tex] number of orders
[tex]n \ge 100[/tex] ---- domain of order
Required
The reasonable ordering amount
The function for n calculator can be represented as:
[tex]f(n) = r * n + c[/tex]
This gives:
[tex]f(n)=35 * n + 50[/tex]
[tex]f(n)=35n + 50[/tex]
Recall that the domain is: [tex]n \ge 100[/tex]
So, we have:
[tex]f(n)=35n + 50[/tex] [tex]n \ge 100[/tex]
The reasonable amount of order implies that we calculate the range of the function
[tex]n \ge 100[/tex] implies that the minimum is 100
So:
Substitute 100 for n in [tex]f(n)=35n + 50[/tex]
[tex]f(100) = 35 * 100+50[/tex]
[tex]f(100) = 3500+50[/tex]
[tex]f(100) = 3550[/tex]
So, the range of the function is:
[tex]3550 \le f(n) < \infty[/tex]
A triangle has side lengths of (5.5x + 6.2y) cm, (4.3x + 8.3z) cm, and (1.6z - 5.1y) cm. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
9.8x+1.1y+9.9z
Step-by-step explanation:
Hi there!
Perimeter = Sum of all sides
[tex]P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z - 5.1y)[/tex]
Open up the parentheses
[tex]P=5.5x+6.2y+4.3x+8.3z+1.6z-5.1y[/tex]
Combine like terms
[tex]P=5.5x+4.3x+6.2y-5.1y+8.3z+1.6z\\P=9.8x+1.1y+9.9z[/tex]
Therefore, the expression 9.8x+1.1y+9.9z (cm) best represents the perimeter of the triangle.
I hope this helps!
Answer:
answer is c
Step-by-step explanation:
8 1/3% as a common fraction.
Answer:
[tex]\frac{27}{100}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{81}{3}%[/tex]%
Now
It can be written as:
[tex]\frac{81}{3}[/tex]%=[tex]27[/tex]%
27%=[tex]\frac{27}{100}[/tex]
Therefore, common fraction will be [tex]\frac{27}{100}[/tex]
Answer:
2500/3
Step-by-step explanation:
[tex]8\frac{1}{3}[/tex] %
=(8*3+1/3) %
=25/3 %
=25/3 / 100
=25/3 *100/1
=2500/3
Find \sin(\beta)sin(β)sine, left parenthesis, beta, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{15}{8}
8
15
start fraction, 15, divided by, 8, end fraction
(Choice B)
B
\dfrac{8}{17}
17
8
start fraction, 8, divided by, 17, end fraction
(Choice C)
C
\dfrac{8}{15}
15
8
start fraction, 8, divided by, 15, end fraction
(Choice D)
D
\dfrac{15}{17}
17
15
start fraction, 15, divided by, 17, end fraction
Answer:
Its 15/17
Step-by-step explanation:
I did it on Khan
Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.
How to Apply the Sine Ratio?Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.
Given the following:
Opposite side = 15Hypotenuse = 17Applying the sine ratio, we have:
sin β = 15/17
Learn more about the sine ratio on:
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which is the equation of a circle centered at the origin with radius 20?
Answer:
x^2 + y^2 = 400
Step-by-step explanation:
The equation for a circle is
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2 + (y-0)^2 = 20^2
x^2 + y^2 = 400
help meeeeeeeeeee!!!
Answer: 2.9166666666633333333333333333333
Step-by-step explanation:
Answer:
35/12
Step-by-step explanation:
i need all the questions and where is says to explain I need you to explain, it's pythagorean theorem, plsssss help me
Answer:
Step-by-step explanation:
sams house=6 miles east and 9 mies south
let the distance towards east be a and distance towards south be b
so we have to find straight line distance from sams house to amys house .let it be c(or hypotenuse)
according to the pythagors theorem
a^2 + b^2 =c^2
6^2 + 9^2 =c^2
36 + 91 =c^2
117 =c^2
[tex]\sqrt{117[/tex] =c
10.8=c
the two coordinate points are
(4,12)=(x1 , y1)
(6,2)=(x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(6-4)^2 + (2-12)^2}[/tex]
=[tex]\sqrt{2^2 + (-10)^2}[/tex]
=[tex]\sqrt{4 + 100}[/tex]
=[tex]\sqrt{104}[/tex]
=2[tex]\sqrt{26}[/tex]
=10.1 units
fairy travels=10.1 * 2
=20.2 miles
three sides are 17,8,15
according to the pythagoras theorem
to be right angles triangle square of hypotenuse(longest side) must equal to the sum of square of two other smaller sides
so here 17 is longest and 8 and 15 are two other smaller sides of a triangle
17^2=8^2 + 15^2
289=64 + 225
289=289
since both sides are equal it can be concluded that they form a right angled triangle.
Hope this helps u!!
Answer:
1. option b : 10.8 miles
2. Distance = 10.2 units
Distance in miles = 20.4 miles
3. Paulie is correct because the measurements satisfies Pythagoras theorem.
Step-by-step explanation:
1. option b
Let straight line length be x
x² = 6² + 9²
= 36 + 81
= 117
x = 10.8 miles
2.
Current location ( 4 , 12 )
Destination ( 6, 2 )
a)
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\\\[/tex]
[tex]= \sqrt{(4 - 6)^2 + (12 - 2)^2} \\\\= \sqrt{2^2 + 10^2}\\\\=\sqrt{104}\\\\=10.2 \ units[/tex]
b)
Grid (units) Distance( miles)
1 2
10.2 x
[tex]\frac{1}{10.2} = \frac{2}{x}\\\\x = 2 \times 10.2\\x = 20.4 \ miles[/tex]
3.
a)
Square of Longer side = sum of squares of other sides
[tex]17^2 = 8 ^2 + 15^2 \\289 = 64 + 225\\289 = 289 \\[/tex]
Yes, Paulie is Correct.
b)
Paulie is correct because the measurements of the sides of triangle satisfies Pythagoras theorem.
Pythagoras' theorem states that for all right-angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
What is the range of the given function?
Answer:
you have it on the correct answer
Step-by-step explanation:
range is the y values, and its the lowest negetive to the highest positive
