Answer: 7.2 * 10 to the negative four
Step-by-step explanation:
Brandus bought 1/3 pound of ground turkey and 1/4 pound of ground beef to make sausages. How many pounds of meat did he buy?
Brandus bought a total of 7/12 pounds of meat by adding together 1/3 pound of ground turkey and 1/4 pound of ground beef.
To find out how much meat Brandus bought, you need to add the weights of the ground turkey and the ground beef. Brandus bought 1/3 pound of ground turkey and 1/4 pound of ground beef.
Convert the fractions to have a common denominator:
1/3 = 4/12 (multiply both the numerator and the denominator by 4)
1/4 = 3/12 (multiply both the numerator and the denominator by 3)
Add the two amounts:
4/12 + 3/12 = 7/12
Hence, Brandus bought 7/12 pounds of meat in total to make sausages.
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What is the solution to the following system of linear equation?
y= 2x+3
y= -1/2x -2
A. (2,1)
B. (-1,-2)
C. (1,2)
D. (-2,-1)
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D. (-2,-1)
Hope it helps you.
Answer:
D
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
y = - [tex]\frac{1}{2}[/tex] x - 2 → (2)
Since both equations express y in terms of x, equate the right sides
2x + 3 = - [tex]\frac{1}{2}[/tex] x- 2
Multiply through by 2 to clear the fraction
4x + 6 = - x - 4 ( add x to both sides )
5x + 6 = - 4 ( subtract 6 from both sides )
5x = - 10 ( divide both sides by 5 )
x = - 2
Substitute x = - 2 into (1) for corresponding value of y
y = 2(- 2) + 3 = - 4 + 3 = - 1
Solution is (- 2, - 1 ) → D
solve the following .72 divide by 1/3
Answer:
the answer is to 72 divided by 1/3 is 216
The result of the division 72 divide by 1/3 is : 216.
Here, we have,
given that,
What is 72 divide by 1/3
we know that,
72 divide by 1/3 is the same thing as 72 times 3/1.
i.e. 72 ÷ 1/3
=> 72 × 3/1
now, we know that,
So 72 x 3 = 216
=> 216/1
And 216 divided by 1 is 216.
so, we get,
Hence, The result of the division 72 divide by 1/3 is : 216.
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Find the exact values below. if applicable, click on "undefined". cot7pi/6
Yo sup??
cot(7π/6)=cot(π+π/6)
=cot(π/6)
=√3
Hope this helps
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the trigonometric identity
cot x = [tex]\frac{1}{tanx}[/tex]
Consider tan([tex]\frac{7\pi }{6}[/tex] )
[tex]\frac{7\pi }{6}[/tex] is an angle in the third quadrant where tan > 0
Thus tan([tex]\frac{7\pi }{6}[/tex] ) = tan([tex]\frac{7\pi }{6}[/tex] - π ) = tan([tex]\frac{\pi }{6}[/tex] ) = [tex]\frac{1}{\sqrt{3} }[/tex]
Hence
cot([tex]\frac{7\pi }{6}[/tex] ) = [tex]\frac{1}{\frac{1}{\sqrt{3} } }[/tex] = [tex]\sqrt{3}[/tex]
Which equation best describes the graph of the line that has slope-1/3 and passes through point
(3.-9)?
Answer:
y=-1/3x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=-1/3(x-3)
y+9=-1/3x+3/3
y+9=-1/3x+1
y=-1/3x+1-9
y=-1/3x-8
An ecologist wishes to find the height of a redwood tree that is on the other side of a creek, as shown in the figure below. From point A he finds that the angle of elevation to the top of the tree is 10.4°. He then walks 24.8 feet at a right angle from point A to point B. There he finds that the angle between AB and a line extending from B to the tree is 85.8°. What is the height h of the tree? (Round your answer to one decimal place.)
The height of the redwood tree can be determined through trigonometry, using the tangent of the angles given and the distances provided. The height of the tree from point B is found to be 1.8 feet, and the total height of the tree from point A is found to be approximately 30.9 feet.
Explanation:In this question, we can use trigonometry to solve the problem. From point B, we see two angles. The smaller angle, 85.8°, is the angle from the line extending to the tree and line AB, and the greater angle is 90°. Therefore, the angle between the line extending to the top of the tree and line AB is (90-85.8)= 4.2°.
Using the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle, we can solve for h. Tan 4.2° = h/24.8 feet. Solving for h gives us h = 24.8 feet * tan 4.2°. Using a calculator, we find that h is approximately 1.8 feet.
Similarly, let's calculate the height from point A. From point A, the angle of elevation to the top of the tree is 10.4°. The distance from the tree to point A is the sum of the length of AB (24.8 feet) and the length from B to the tree (h/tan 85.8°). So, the total height of the tree is h (from point B) + distance from A to the tree * tan 10.4°. This calculation gives us h = 1.8 feet + (24.8 feet + 1.8 feet/tan 85.8°)*tan 10.4°. After doing the calculations, we find that the height of the tree is approximately 30.9 feet when rounded to one decimal place.
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how to solve 3(x+4)-2(x+4)
Answer:
1.Distribute values
(3x+12)-(2x+8)
2.Add common terms
x+4
Frank exercises 60 minutes a day if he does this every day for a one year how many minutes will he have exercised
(12 – 8)3 – 24 x 2
Evaluate the expression
What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, -1), (10, -1), (10, -5), (1, -5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units.
The dimensions of the rectangle shown on the coordinate plane is The base is 9 units and the height is 4 units.
Option: B.
Step-by-step explanation:
We are given with the coordinate points of a rectangle.
The points are (1, -1), (10, -1), (10, -5), (1, -5).
From the given graph, the bigger side is the base and the height is the smaller side.
The points (1, -1), (10, -1) and (1, -5), (10, -5) can be used to find the base of the rectangle.
The points (10, -1), (10, -5) and (1, -1), (1, -5) can be used to find the height of the rectangle.
Let us find the base using coordinate point (1, -5), (10, -5) .
Since the base runs horizontally on the x-axis, we have to find the run.
run = [tex]x_2-x_1[/tex].
run = 10-1.
run (base)= 9 units.
Let us find the base using coordinate point (10, -1), (10, -5) .
Since the height runs vertically on the y-axis, we have to find the rise.
rise = [tex]y_2-y_1[/tex].
rise = -5-(-1).
rise=-5+1.
rise (height)= 4 units. ( Units are always measured in positive.)
∴ The base is 9 units and the height is 4 units.
(SAT Prep) Find the value of x in each of the following exercises:
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The angles of a triangle always add to 180°. In the triangle with 35°, we know that the other angle is 55° since 180 - 90 - 35 = 55. Know we know that 55° angle, 60° angle and the unknown angle will add to 180° because they form a flat line. So 180 - 60 - 55 = 65. Next, we subtract 65° and 90° from 180° to get the last unknown angle, which is 25°. Lastly we subtract 25° from 180 because the x angle and the 25° angle form a a flat line. 180 - 25 = 155.
I believe the measure of angle x is 155°.
The required value of the exterior angle x = 155°
A figure of angle in triangles is shown in which the value of x is to be determined.
The angle can be defined as the one line inclined over another line.
From the image attached below From the orange triangle,
The sum of the interior angle of a triangle is 180°,
35 + 90 + z =180
z = 180 -90 - 35
z = 55
Now, the sum of the angle
z + y + 60 = 180
55 + y + 60 = 180
y = 180 -60 - 55
y = 65
Now angle x can be given as the sum of the remote angle is equal to exterior angle x.
35 + z + y = x
35 + 55 + 65 = x
x = 155
Thus, the required value of the exterior angle x = 155°
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Ami is having a pizza party on Saturday night. She ordered 8 pizzas. If the average person eats 1/3 of a pizza, how many persons will 8 pizzas serve
Answer:
The answer is 24
Step-by-step explanation:
If each person eats 1/3 of the pizza then that means it takes 3 people to eat a whole pizza so you multiply three times 8 and you get twenty four.
In country A, about three times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 26 comma 416, find the number manufactured in country B and the number manufactured in country A.
Answer:
country a = 19,812 cars
country b = 6,604 cars
Step-by-step explanation:
a = country a
b = country b
the 2 eqations are:
a + b = 26,416
a = 3b
now substitute 3b for a in the first equation:
3b + b = 26,416
add the variables:
4b = 26,416
now divide 26,416 by 4 (26,416/4)
b = 6,604
so country b has 6,604 cars
to find country b, substitute the number of cars in country b (which is 6,604) in the second equation:
a = 3b
a = 3 × 6,604
a = 19,812
so country a has 19,812 cars
find the domain and range (0,1), (3,1), (3,9)
Answer:
domain={0,3}
range={1,9}
Step-by-step explanation:
Find the slope of the graph
EASY 40 POINTS
5 (2 x + 1 )= 50 please help me
Answer:
x = 4.5.
Step-by-step explanation:
5(2x + 1) = 50
10x + 5 = 50
10x = 50 - 5
10x = 45
x = 4.5.
Find the final price on a $1049 television that is on sale for 12% off if the sales tax is 4.5%
The final price of a $1049 television on a 12% sale, with a 4.5% sales tax, is $964.66.
Explanation:The final price on a $1049 television that is on sale for 12% off can be found by deducting the discount from the original price, and then adding the sales tax on the discounted price.
First, let's find the discount: 12% of $1049 is (12/100)*1049 = $125.88. So, the price after discount would be 1049 - 125.88 = $923.12.
Next, we need to add the 4.5% sales tax. Sales tax is calculated on the discounted price, so 4.5% of $923.12 is (4.5/100)*923.12 = $41.54.
Finally, we add the tax to the discounted price to get the final price: $923.12 + $41.54 = $964.66. So, the final price of the television is $964.66.
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If the nth term of an A.P. is 3n+2, find the sum of first 'n terms of that AP.
Answer:
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (3n + 7)
Step-by-step explanation:
We require to find the first term a₁ and the common difference d
The n th term is given by 3n + 2, thus
a₁ = 3(1) + 2 = 3 + 2 = 5
a₂ = 3(2) + 2 = 6 + 2 = 8
d = 8 - 5 = 3
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], substitute values
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ (2 × 5) + 3(n - 1) ] = [tex]\frac{n}{2}[/tex] (10 + 3n - 3) = [tex]\frac{n}{2}[/tex] (3n + 7)
Answer:
Sn = (3/2)n² + (7/2)n
Step-by-step explanation:
Sn = (n/2)[2a + (n-1)d]
a = 3(1)+2 = 5
d = second term - 5 = 3(2)+2 - 5 = 3
Sn = (n/2)[2(5) + (n-1)(3)]
= (n/2)[10 + 3n - 3]
= (n/2)(7 + 3n)
Sn = (3/2)n² + (7/2)n
NO CAP 45 PTS I NEED A 100
Which situation is best modeled by an exponential function?
A.the cost to rent a bicycle from a company that charges a flat rate plus x dollars per day
B.the amount of a substance remaining after x years if it is decreasing at a rate of 25% annually
C.the number of gas stations in a town that had 4 stations in 2010 and x new stations have opened each year since
D.the distance a car is from a fixed point if the car was originally 200 feet from that point and traveled at a speed of x miles per hour
The best scenario for an exponential function is Option B, as it describes a consistent percentage decrease annually, which is characteristic of exponential decay.
The situation that is best modeled by an exponential function is Option B, which describes the amount of a substance remaining after x years if it is decreasing at a rate of 25% annually. This exemplifies an exponential decay scenario where the rate of change of a quantity is directly proportional to its current value. Over time, the substance decreases by a consistent percentage, which is characteristic of exponential decay functions.
A key feature of exponential relationships is that they describe processes where the change at any given point is proportional to the current amount, which fits the description of a substance decreasing by a consistent percentage each year.
simplify the expression -2-17+12-(-4)
Answer:
- 3
Step-by-step explanation:
hello:
-2-17+12-(-4)=(-2-17)+(12+4)= -19+16= -3
Answer:
-3
Step-by-step explanation:
-2-17+12-(-4)
From BODMAS, we begin witht the bracket
=-2-17+12+4
= -2-17+16
= -19+16
= -3
Find the value of y. y-62=-86
Show how you got the answer
Answer:y=-24
Step-by-step explanation:
Move all terms not containing
y
to the right side of the equation.
The geometric sequence bn is defined below. Find b3.
B1 = 54
R= -1/3
Answer:
6
Step-by-step explanation:
hello :
the nth term is : Bn= B1×R^n-1
calculate B3 (when n=3) R= -1/3 B1 = 54
B3 =54×(-1/3)^(3-1)
B3 =54×(1/9)=6
Knowing about geometric sequences we have that its third term will be given by 6
What is the geometric sequences formula?Geometric Progression (PG) is a numerical continuity in which the division of a term with its previous one, except the first, will result in a single value, the so-called ratio (q), that is: PG: (a1, a2, a3, a4, ..., an), where q = (a2/a1 = a3/a2 = a4/a3,.
Given that:
B1 = 54R= -1/3The formula of the term will be:
[tex]Bn= B1*R^n-1[/tex]
Calculated the B3 we have:
[tex]B3 =54*(-1/3)^{(3-1)}\\B3 =54*(1/9)=6[/tex]
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A rectangular bathroom floor is covered with square tiles that are 1 1/2 feet by 1 1/2 feet. The length of the bathroom floor is 10 1/2 feet and the width is 6 1/2 feet
Answer:
The number of square tiles required to cover the bathroom floor is approximately 31.
Step-by-step explanation:
The dimensions of the rectangular floor of the bathroom are:
Length = 10.5 ft.
Breadth = 6.5 ft.
The dimensions of the square tiles are:
Side = 1.5 ft.
The area of the rectangular floor of the bathroom is:
[tex]Area\ of Bathroom\ floor=Length\times Breadth\\=10.5\times6.5\\=68.25[/tex]
The area of 1 square tile:
[tex]Area\ of\ 1\ square\ tile=(SIde)^{2}\\=(1.5)^{2}\\=2.25[/tex]
The number of tiles required to cover the bathroom floor is:
[tex]Number\ of\ tiles=\frac{Area\ of\ bathroom\ floor}{Area\ of\ 1\ square\ tile} \\=\frac{68.25}{2.25}\\ =30.3333\\\approx31[/tex]
Thus, the number of square tiles required to cover the bathroom floor is approximately 31.
What is The midpoint of AB=(1,
The midpoint of AB is point G
Explanation:The complete question has been attached below. As you can see, we have a line segment which is defined as a part of a line that is bounded by two different points that are at the end of the segment. So here we know that:
A is located at point -6.B is located at point 8Therefore, the midpoint can be calculated as:
[tex]M:midpoint \\ \\ \\ M=\frac{A+B}{2} \\ \\ M=\frac{-6+8}{2} \\ \\ M=1[/tex]
So the midpoint is [tex]M=1[/tex] that matches point G. Finally:
Conclusion: The midpoint of AB is point G
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Juanita has 102 beads to make n necklaces. Each necklace will have 17 beads.
Answer:
There will be 6 necklaces
Step-by-step explanation:
102/17 is 6
Answer:Juanita can make 6 bracelets.
Step-by-step explanation:
Divide 102 and 17 then you should get 6.
Your credit score is 580. Your current credit card limit is $2,000. Your current credit card balance is $1,950. If you shrink your debt balance by 13% each month for 12 months what will your balance be?
Answer:
$366.66
Step-by-step explanation:
You start with a credit card balance of $1950. If you reduce this balance by 13% each month for 12 months, using the formula for geometric series (a(r^n)), your final balance at the end of 12 months will be approximately $452.98.
Explanation:The student's question is asking about reducing a credit card debt balance by a fixed percent each month. In this case, the student is reducing their debt by 13% every month for 12 months. To get a clear picture, let's go through this step by step.
Initially, the credit card balance is $1950. In the first month, the student reduces the debt by 13% which is $253.5. So, the remaining balance at the end of first month would be $1950 - $253.5 = $1696.5
This process is repeated each month. For example, in the second month, the student reduces the new amount of $1696.5 by 13%. The debt will continue to decrease in this manner each month.
To calculate the balance at the end of 12 months, we would use the formula for geometric series: a(r^n), where 'a' is the initial amount of debt($1950), 'r' is the percentage (1 - 13% or 0.87) and 'n' is the number of months (12).
Your final balance at the end of 12 months would be $1950*(0.87^12) which approximately equals $452.98. Hence, by reducing your debt by 13% each month for 12 months, your balance will be approximately $452.98. But remember, maintaining steady payments and not adding to the balance by new purchases is also important in managing credit card debt.
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how do you get b? show me how if you can, please.
Answer:
<ABC = 98.
Step-by-step explanation:
We know that the triangle is lying on a flat line, which is 180 degrees. We know that angle ABC and angle CBD are supplementary as they both use line ABD as their transversal.
Set up the equation (3 + 5x) + 82 = 180.
Solve for x, and you get 19.
Plug it back in to (3 + 5x), we get <ABC = 98.
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Convert 2000 ft per minute to miles per hour. Round to the nearest tenth.
Answer:
22.7
Step-by-step explanation:
The quotient of a number and 4 is 7-
Answer:
-7/4
Step-by-step explanation:
Did you mean -7?
I needs to pour 2 gallons of water into his fish tanks. All he has is a measuring cup how many cups of water should he put in the tank? Explain?
Answer:
32 cups of water is needed to fill a 2 gallon water tank.
Step-by-step explanation:
Here, the amount of water to be filled in the fish tank = 2 gallons
The utensil to measure water = a measuring cup
Now, as we know:
1 quart = 0.25 gallons
⇒ 4 pints = 1 gallons
⇒ 8 pints = 2 gallons
Also, 1 pint = 0.5 quart
⇒ 2 pints = 1 quarts
⇒ 8 pints = 4 quarts
⇒ 16 pints = 8 quarts
Again, 1 cup = 0.5 pint
⇒ 2 cup = 1 pint
⇒ 32 cup = 16 pints
Hence, 32 cups of water is needed to fill a 2 gallon water tank.