Answer:
c
Step-by-step explanation:
21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08
In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Chicken Feed
• Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume.
• Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume.
On Monday, the pilot transferred containers that totaled 30,000 pounds and 1,600 cubic feet in volume.
1. Write a system of equations to model this situation.
2. Write a matrix equation to model this situation.
3. Solve. How many of each container was transported?
Show your work by uploading a picture or typing in the text box.
Answer: 500 chicken feed and 200 careful calculators
Step-by-step explanation:
2x+3y=1,600
40x+50y=30,000
those are your first two equations
your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.
a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000
b) The matrix equations are solved
c) The solution to the system of equations is
The number of chicken feed = 500
The number of careful calculators = 200
What is multiplication of matrices?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix
Given data ,
Let the number of chicken feed be represented as x
Let the number of careful calculators be y
Now , the equation will be
Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume
And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume
Substituting the values in the matrices , we get
[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]
On simplifying the matrix equation , we get
2x + 3y = 1600 be equation (1)
40x + 50y = 30000 be equation (2)
Now , multiply equation (1) by 20 , we get
40x + 60y = 32000 be equation (3)
Subtracting equation (2) from equation (3) , we get
10y = 2000
Divide by 10 on both sides of the equation , we get
y = 200 careful calculators
Substituting the value of y in equation (1) , we get
2x + 3 ( 200 ) = 1600
2x + 600 = 1600
Subtracting 600 on both sides of the equation , we get
2x = 1000
Divide by 2 on both sides of the equation , we get
x = 500 chicken feeds
Therefore , the value of x and y are 500 and 200 respectively
Hence , the system of matrix equations are solved
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It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?
PLEASEE HELP !
8 months
Step-by-step explanation:
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
What is the y-intercept of the function y = 3x + 33 ?
Answer:
33
Step-by-step explanation:
Answer:
it is 33 because you start off at 0 with 33
Step-by-step explanation:
a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere
Answer:cube root 381.7
Then half it too find the radius.
Step-by-step explanation:
Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?
Answer:
Required Answer:-First go to first equation[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]
Take common[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]
please help me on this
Answer:
1 :):):):):):):):):):):):):):):):)):)):):):):):::):):):):):):):::):):)
Step-by-step explanation:
the polygon is regular if each of its side has the same length. find the perimeter of the regular polygon.
18, 19, 20
helpp!!!!
Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
A biologist uses a rectangular tray that has a width of 1.5 feet and a height of 2 feet. What is the area of the tray in square feet?
Answer: 3ft squared
Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.
Find the value of x.
Answer:
x = 29
Step-by-step explanation:
The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.
2x - 10 + 4x + 16 = 180
6x + 6 = 180
6x = 174
x = 29
A pair of shoes costs $30.99 and the state sales tax is 4%. Use the formula C = p + rp to
find the total cost of the shoes, where C is the total cost, pis the price, and r is the sales tax
rate.
$32.23
$39.19
$43.39
$34.99
Answer:
the answer is A. $32.23
Step-by-step explanation:
Answer:
$32.00
Step-by-step explanation:
To find the sales tax always multiply the sales tax to to the cost of you item.
Being your sales tax is 4% you will Multiply 30.99 x .04 (not just 4)
30.99 x .04 = 1.2396 ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax) Now add that to your cost of the shoes
$30.99 + $1.24 = $32,23
For future : if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .
Help ASAP if you want brainliest
Answer:
A. 1. mph
C. 3. hpm
Step-by-step explanation:
What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SAS
B.) AA
C.) SSS
D.) Not enough information given
Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3
Answer:
Step-by-step explanation:
|A|= 5, 2, -3, -5
|Ax|= 14, 2, 3, -5,
|Ay|= 5, 14, -3, 3
The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.
In terms of determinants, it can be written as,
[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].
[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].
[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].
[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].
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Write the equation of the line in slope intercept form given:
m = -6, b = 0
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games? One-fourth One-third Two-thirds Three-fourths
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Answer: 3/4
Step-by-step explanation:
The diameter of a proton is 1.7 x 10-15 meters and the diameter of an atom is 5 x 10-10 meters. What is the difference in the diameters? Write your answer in scientific notation.
Answer:
[tex]4.99\times 10^{-10}\ m[/tex]
Step-by-step explanation:
Given that,
The diameter of a proton is 1.7 x 10⁻¹⁵ meters
The diameter of an atom is 5 x 10⁻¹⁰ meters.
We need to find the difference in the diameters.
[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]
So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].
What is the opposite of each number?
Drag the answer into the box to match each number.
Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa
Step-by-step explanation:
so 0.005 would be -0.005
Answer:
the opposite of 0.005 is -0.005
the opposite of 1/2 is -1/2
the opposite of 0 is 0
the opposite of -2 is 2
Step-by-step explanation:
what is the least degree of a polynomial equation that has 3 (multiplicy of 4), -2, and 6i as roots
Answer:
-2
Step-by-step explanation:
Which situation could be represented by the equation 38.25 = 3x?
A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?
A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?
A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?
A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
Harry and Selma start driving from the same location. Harry drives 42 miles north and Selma drives 144 mies east. How far apart are Harry and Selma when they stop?
Answer:
150 miles
Step-by-step explanation:
use the pythagoerean theorem
42^2 + 144^2 = c^2
1764+20736=c^2
22500 = c^2
c= 150 miles
Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
lawn in feet?
A.15 ft
B.56 ft
C.28 ft
D.11 ft
Answer:
A. 15 ft
Step-by-step explanation:
I took the test.
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
What is square?A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .
Given that area of square shaped lawn is224.9 square feet.
We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .
We can calculate length side of lawn as
Area = [tex]a^2[/tex]
224.9 = [tex]a^2[/tex]
[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]
We know that length of side of square can't be negative so
[tex]a=14.9966\\\\a\approx 15 ft[/tex]
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
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a cube of wood exerts a pressure of 2Pa when it is placed on a floor . What is the force exerted by the cube if its surface area is 5m square?
I will give Brainlyest to the person who is first
After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to
Answer:
37-9=28
Step-by-step explanation:
it was 28 F then rose 9 which is 37 so 37-9 =28
The equation is 37 - 9= x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
After the temperature rose 9°F, the thermometer read 37°F.
let x be the temperature before the 9º increase.
So, 37 - 9= x
x= 28°F.
Hence, the equation is 37 - 9= x.
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Evaluate 7 – (-1).
Answer:
8
Step-by-step explanation:
7-(-1)
My teacher said if it looks like this: -(- make it a plus!
so basically 7+1=8
30 workers can complete a work in 40 days in how many days would 20 men complete the construction
Answer:
27
Step-by-step explanation:
(30 workers/40 days) = (20 workers/x days) cross multiply
30*x=40*20 divide by 30 both sides
x= 800/30
x≈26.67
So they will need 27 days
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When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
29°
2
115
What is the angle?
Answer:
Obtuse
Step-by-step explanation: