Answer:
105km
Step-by-step explanation:
From the above question, the scale is
2.5 cm = 15km
Therefore,
17.5 cm = x
We Cross Multiply
2.5cm × x = 15km × 17.5 cm
x = 15km × 17.5cm/2.5
x = 262.5/2.5
x = 105 km
Therefore, the number of actual kilometres that are represented by 17.5 centimetres on the map is 105 kilometres.
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
To learn more about matrix multiplication click :
https://brainly.com/question/13198061
#SPJ2
GH¯¯¯¯¯¯¯ has endpoints G(−3, 2) and H(3, −2).
Find the coordinates of the midpoint of GH¯¯¯¯¯¯¯ .
A. (−3, 0)
B. (0, 2)
C. (0, 0)
D. (0, −2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( \frac{ - 3 + 3}{2} \: , \: \frac{ - 2 + 2}{2} ) = ( \frac{0}{2} \: , \: \frac{0}{2} ) = \\ [/tex]
[tex](0 \: , \: 0)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Michael consumes a 16 ounce bag of potato chips and 12 ounce bag of pretzels every day after school. How many more ounces of potato chips than pretzels will Michael have eaten at the end of a 5 day school week?
A.
20 ounces
B.
80 ounces
C.
60 ounces
D.
28 ounces
Answer:
b
Step-by-step explanation:
PLEASEEEEEE HELPPPPP ASAPPPP
Identify the system of linear equations from the tables of values given below.
x y
0 5
5 0
2 3
4 1
x y
0 -3
3 0
5 2
-1 -4
Answer:
It is the first answer y=- x + 5 and y = x - 3
Step-by-step explanation:
y=-x+5 and y=x-3 is the system of linear equations for the given table values.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A system of linear equations is usually a set of two linear equations with two variables.
x y
0 5
5 0
2 3
4 1
Let us find equation of these values by considering any two points.
Slope: m=1-3/4-2=-2/2=-1
1=-1(4)+b
1+4=b
b=5
So y=-x+5 is the linear equation for first table.
x y
0 -3
3 0
5 2
-1 -4
Slope m=-4-2/-1-5=-6/-6=1
Now find the y intercept
-4=1(-1)+b
-4+1=b
-3=b
y=x-3 is the equation of second table.
Hence, y=-x+5 and y=x-3 is the system of linear equations for the given table values.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
PLEASE I NEED HELP URGENT I WILL MARK, SOLVE AND EXPLAIN THE ANSWER
1 point
1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *
Taylor's family traveled 50 miles in 1 hour.
Taylor's family traveled 120 miles in 2 hours.
Taylor's family traveled 180 miles in 4 hours.
Taylor's family traveled 200 miles in 5 hours.
Answer:
120 miles in 2 hours
Step-by-step explanation:
120 = 60(2)
hhHheLLlpP Help help help help help plzz
The school hiking club had a car wash on Saturday and Sunday. The students washed 30% of the
cars on Saturday. If they washed 24 cars on Saturday, how many cars did they wash on both days?
O A) 24
O B) 30
OC) 72
OD 80
Answer:
D) 80
Step-by-step explanation:
30 x 80 = 24
100
30/100 = 24/80
30% = 24
24 is 30% of 80
Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
(x^2) +16x+86 = (x+A)^2 +B
How do I solve for A and B
Answer:
Step-by-step explanation:
If the question is:
x^2 + 16 + 86 = (x+A)^2 + B
Then the answer is , A= +/- 4 and B=86
What is the slope of the line that intersects this two points (12,2), (-7,5)
(12,2) (-7,5)
x1 y1. x2 y2
use this formula to solve:
y2-y1/x2-x1
=
(5)-(2)
(-7)-(12)
slope: -3/19
Please help! this assignment is due under 10 minutes! please with explatiation Thank you!
can't see the question its blurry
Answer:
The 1st graph is The answer
8. If k = log2 3 then log2 48 =
Answer:
16k
Step-by-step explanation:
k=3log2
k=(48\16) log2
16k= 48log2
16k=log2 48
Numbers can be expressed in logarithms.
The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
The expressions are given as:
[tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248}[/tex]
Express 48 as 3 * 16
[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]
Split
[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]
Express 16 as 2^4
[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]
Rewrite as:
[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]
In logarithms:
[tex]\mathbf{log_aa = 1}[/tex]
So, we have:
[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]
[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]
Substitute [tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248 = k + 4}[/tex]
Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
Read more about logarithms at:
https://brainly.com/question/8657113
Solve -5 = 3x - 14.
X=__
Answer:
x=3
Step-by-step explanation:
-5 = 3x - 14
+14 + 14
3/9 = 3/3x
3 = x
Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
An architect is planning a triangular pool with a perimeter of 99 ft.Two of the sides measure 20 and 42, respectively, what is the length of the missing side(x)?Solve for x
Given:
Perimeter of the triangle = 99 ft
Length of two sides are 20 ft and 42 ft.
To find:
The length of missing side.
Solution:
Let the missing side be x.
Perimeter of a triangle is the sum of all sides of that triangle.
[tex]x+20+42=99[/tex]
[tex]x+62=99[/tex]
Subtract 62 from both sides.
[tex]x=99-62[/tex]
[tex]x=37[/tex]
Therefore, the missing side of the triangle is 37 ft.
Mike had 180 blue and red pencils. He had 45 blue. What percentage of his pencils are red.
The percentage of red pencils Mike had is 75%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Mike had 180 blue and red pencils and 45 were blue.
So, The number of red pencils is,
= (180 - 45).
= 135.
Therefore, The percentage of red pencils is,
= (135/180)×100%.
= 75%.
Some other concept related to percentage is percentage change,
The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Cheyenne is deciding between the ways she has to buy music. Albums on CD cost
$13 but downloads of an album only cost $10. If she can spend up to $150 on
music purchases, which of these expresses her purchasing restrictions when she
buys c CDs and downloads d albums?
Answer:
13c+10d>150
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST PLEASE HELP. It needs to be correct
9514 1404 393
Answer:
a) the originb) 2Step-by-step explanation:
Lines AA', BB', and CC' all converge at the origin. The origin is the center of dilation.
__
Each image point is twice as far from the origin as its corresponding pre-image point. The scale factor is 2.
Need help with this
(I think it’s 49 but I’m not sure)
Answer:
Its 49
Step-by-step explanation:
Can i get brainliest
There were 20 cups of pudding left in the cafeteria after lunch. The lunch aide poured the extra pudding into quart sized containers how many quart sized containers will she need?
Answer:
5
Step-by-step explanation:
1 galon =16 tazas
1/4 de galon=4 tazas
1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4
1.25 ×4= 5
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answer: 45
Step-by-step explanation:
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answer:
The answer is C.
Step-by-step explanation:
Firstly, you have to find the new commission sales after first 5 computera are sold. In order to do so, you have to multiply it by 1.5 :
$100 × 1.5 = $150
Next, you have to find the total amount :
($100×5) + ($150×3)
= $500 + $450
= $950
Please help!!!! ASAP!!! Thank you!!!
Answer:
28
Step-by-step explanation:
There were 7 chairs in each row, now they add three more to each row so now there's 10 chairs per row. There were 56 chairs altogether previously but now they need 5 times more so 56 times 5 equals 280. so with ten chairs per row and 280 chairs in total: 280/10 = 28. You'll need 28 rows
Can someone help me? Giving 23 Points.
Answer:
Option 2 you welcome
explanation: I had this question a while back and I'm 100% sure that this is the right answer!
Choose all the expressions that are equal to 34 × 8,010.
A. 8,010 × 34
B. 34 × (801 × 102)
C. 30 × 4 × 8,010
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
Answer: A. 8,010 × 34
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
Step-by-step explanation:
First we need to calculate 34 × 8010 = 272340
A. 8,010 × 34 = 272340
This is equal to 34 × 8010.
B. 34 × (801 × 102)
= 34 × 81702
= 2777868
This is not equal to 34 × 8010.
C. 30 × 4 × 8,010
= 961200
This is not equal to 34 × 8010.
D. 34 × (8,000 + 10)
= 34 × 8010 = 272340
This is equal to 34 × 8010.
E. (30 + 4) × 8,010
= 34 × 8010 = 272340
This is equal to 34 × 8010.
Therefore, the correct options are:
A, D, E.
Which expression is equal to (x+2)(x-4)/(x-4)(x+4)
A) x-2/x+4
B) x+4/x+2
C) x-2/x-4
D) x+2/x+4
Answer:
The expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]
Option D is correct.
Step-by-step explanation:
We need to solve the expression [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex]
Since it is a fraction, and all terms are multiplying with each other we can cancel out common terms.
Since x-4 is both in numerator and denominator so, it will be cancelled out and we will get:
[tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}\\=\frac{(x+2)}{(x+4)}[/tex]
So, the expression equal to [tex]\frac{(x+2)(x-4)}{(x-4)(x+4)}[/tex] is [tex]\frac{(x+2)}{(x+4)}[/tex]
Option D is correct.
Answer:
D.) x+2/x+4
I took the quiz :)
Step-by-step explanation:
Solve for
50
15
None of the above
Other
Please help on a maths question, Brainiest for the best answer!!!
perimeter = sum of all sides
= 4.3 + 7 + 4.3 + 7 + 4.3 + 7 + 2.7
= 36.6 cm
Answer:
36.6 cm
Step-by-step explanation:
Each side, starting with the one all the way to the left and going anticlockwise.
7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6
What is 900000+18765439??
Answer:
Step-by-step explanation:
900000
+18765439
=27765439
Answer is 27765439
Consider a right triangle with leg b = 7.1 and opposite angle B = 39.3. Using a calculator, determine the other angle and the remaining sides of the triangle. Express your answers using at least one decimal place.
Answer:
i. a = 8.7, b = 7.1 and c = 11.2
ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]
Step-by-step explanation:
Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].
I. Applying the trigonometric function to determine leg a, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]
a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]
= 8.675
The length of leg a is 8.7.
ii. To determine leg c,
Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{7.1}{c}[/tex]
⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]
= 11.21
The length of leg c is 11.2.
iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]
Then,
A + B + C = [tex]180^{o}[/tex] (sum of angles at a point)
A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]
A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]
A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]
= [tex]50.7^{o}[/tex]