80 children x 5 days = 400 total lunches.
£100 / 400 lunches = £0.25 per lunch
The cost for one lunch for one student is £0.25
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Answer:
A. 1. mph
C. 3. hpm
Step-by-step explanation:
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:
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
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:
A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose it is 6:30 am right now. At what time will both trains leave the station together?
Answer:
7:12 a.m
Step-by-step explanation:
Given that:
Train to New York city leaves station every 7 minutes
Train to Boston leaves station every 6 minutes
Current time = 6:30 a.m
Time both will leave station together is obtained by finding the least common multiple of 6 and 7
Multiples of ;
6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...
7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...
The least common multiple of 6 and 7 is 42.
Hence, both trains will leave the station together after 42 minutes ;
Current time + 42 minutes
6:30 a.m+ 42 minutes = 7:12 a.m
What is the slope of a line that is perpendicular to the graph of y = 4/5x+9?
Answer:
m = -5/4
General Formulas and Concepts:
Algebra I
The slope of the perpendicular line is the negative reciprocal of the original slope.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope-Intercept Form (Original): y = 4/5x + 9
Step 2: Break Original Function
Slope m = 4/5
y-intercept b = 9
Step 3: Find slope of perpendicular line
Take the negative reciprocal.
Perpendicular Slope m = -5/4
Find the y-intercept of a line that passes through the point (-5,-6) and has a slope of 2.
Answer:
The y intercept is 4
Step-by-step explanation:
Given:
-Given point: (-5,-6)
-Slope of 2
1) Put the equation into point-slope form y - y1 = m(x - x1)
With the given, we can plug it all in using this formula!
-y1 = -6
-x1 = -5
m = 2
(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)
y+6= 2(x+5)
2) Simplify
y+6= 2(x+5)
y+6=2x+10
y=2x+4
With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!
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:
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
Does anyone know this. whoever answers first and correct ill give brainliest
Answer:
5.49 x 10^14
Step-by-step explanation:
The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^
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
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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If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.
Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
77 is 56% of what number
Answer:
137.50
Step-by-step explanation:
please give branliest
Answer:
137.5 I think I might be wrong..
Which equation is equivalent to 4 - 6(3 - 2x) = 3(x - 4)?
a. 15x= -2 b. 5x=-10 c. 9x=2 d. 15x=2
Answer:
9x=2
Step-by-step explanation:
4 - 6(3 - 2x) = 3(x -4)
4 - 18 + 12x = 3x - 12
12x - 14 = 3x - 12
12x - 3x = 14 - 12
9x = 2
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Please help me with this question I will give brainliest.
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
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Answer:
What's the question?
does anyone know this?
Answer:
1.37×10^9 is in scientific notation
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
Factorise fully
x2 - 42^2
Step-by-step explanation:
(x_42)(x+42)...
....
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
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:
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way
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]
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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In the equation y = 2π^x, 2 is the ______ and π is the ______.
Answer:
pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.
Step-by-step explanation:
1 Which expression is equivalent to (7x – 5) – (3x - 2)?
Answer:
The answer is D.
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
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.