It should be noted that the wind speed is 70km per hour and the plane speed is 490km per hour.
How to illustrate the information?Based on the information given, the following an be illustrated.
Let P = speed of plane
Let w = speed of wind
The appropriate equation will be:
(P + W) (3/2) = 840 ....... i
(P - W) × 2 = (840 / 2) ...... ii
P + W = 560 .....i
P - W = 420 ......ii
Subtract the equations
2P = 980
P = 980 / 2 = 490
P + W = 560
490 + W = 560
W = 560 - 490
W = 70
Therefore, the wind speed is 70km per hour and the plane speed is 490km per hour.
Learn more about speed on:
brainly.com/question/13943409
#SPJ1
A florist sells long stem roses in bouquets of various sizes. If a 12-rose bouquet costs $42, and a 20-rose bouquet costs$65, which statement about the relationship
of price to number of roses per bouquet is true?
The statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.
Given that a 12-rose bouquet costs $42, and a 20-rose bouquet costs$65.
We are required to make a statement about the relationship of price to number of roses per bouquet which is true.
If we observe each value then the coordinates will be (12,42) and (20,65).
Slope=(65-42/20-12)
=23/8
=2.875
Hence the statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.
Learn more about slope at https://brainly.com/question/3493733
#SPJ9
Find the distance between each pair of points.
33) (2, 2), (-2, 6)
A) 2√13
C) 8
B) 4√2
D) 2√2
Answer:
D
Step-by-step explanation:
Applying the distance formula root square x2-x1 +y2-y1
then
let the (x1,y1 )=(2,2)
(x2,y2)=(-2,6)
Choose the estimate closest to an average person's weight: 8kg, 80kg, or 800 kg.
The estimate closest to an average person's weight is 80kg
How to determine the estimate?The weights are given as:
8 kg, 80 kg and 800 kg
To answer this question, I will assume that a person means an adult
An adult that weighs 8 kg is very much under weight
Because the average weight of a person is around 60 to 90 kg
Hence, the estimate closest to an average person's weight is 80kg
Read more about weights at:
https://brainly.com/question/2337612
#SPJ1
Convert as indicated.
72oz to ____ lb ____ oz
Question content area bottom
Part 1
oz
enter your response here lb
enter your response here oz
Answer:
Hope this helps
Step-by-step explanation:
Answer in pounds: 4.5.
Sorry I can't get your OZ one
Find an equation of the line that satisfies the given conditions.
Through (-2, 2); perpendicular to the line y = -1/2x + 2
Answer:
y=2x+6
Step-by-step explanation:
First find the gradient of the perpendicular line. We can do this by turing the given gradient into a negative reciprocal.
-1/2 -> 2 (new gradient)
substitute new gradient into y=mx+c as well as the values for x and y from the given coordinate (-2,2)
y=mx+c
2=2(-2)+c
then solve for c
2=-4+c
c=6
therefore the formula for the line is y=2x+6
. Read the following statement.
AABC is not an acute triangle.
What is the first step of indirectly proving this statement?
O
Assume AABC is not a scalene triangle.
Assume AABC is an acute triangle.
Assume AABC is not a right triangle.
Assume AABC is not an acute triangle.
The required step of indirect proving is to assume AABC is an acute triangle. Option B is correct.
Given that,
AABC is not an acute triangle.
What is the first step of indirectly proving this statement is to be determined.
The angle can be defined as the one line inclined over another line.
Here,
Indirect proving implies proving with contradictions,
So in order to prove AABC is not an acute triangle, we have first assumed that AABC is an acute triangle.
Thus, the required step of indirect proving is to assume AABC is an acute triangle. Option B is correct.
Learn more about Angles here:
https://brainly.com/question/13954458
#SPJ1
represent 45% as a decimal
Answer:
45% as a decimal is 0.45
Step-by-step explanation:
45% ÷ 100 = 0.45
please help with this i m lost! what formula do i use???
Answer:
I think it's c I haven't done those formulas in while
a rectangle with a diagonal of length x is twice as long as it is wide. what is the area of the rectangle?
The area of the rectangle whose diagonal is twice its width is (x²√3)/4 square units.
What is the Area of Rectangle?The area of rectangle is defined by the product of its length and width. Mathematically-
Area [A] = Length [L] x Width [W]
Given is a rectangle whose diagonal is twice as long as it's width. From this, we can write -
Width = w
Length of diagonal = x = 2w
Assume that the length of the rectangle is L. Using the Pythagoras theorem in the triangle ΔABC, we get -
AC² = AB² + BC²
x² = L² + w²
(2w)² = L² + w²
4w² = L² + w²
L² = 3w²
L = w√3
Now, the width of rectangle is 'w' and its length is 'w√3'. Its area will be-
Area = length x width
A = w√3 × w
A = w²√3
Now, length of diagonal → x = 2w. So, we can write -
w = x/2
Therefore, the area will be -
A = (x/2)²√3 = (x²√3)/4
Therefore, the area of the rectangle whose diagonal is twice its width is (x²√3)/4 square units.
To solve more questions on Rectangles, visit the link below-
https://brainly.com/question/12237719
#SPJ1
(-10) + ( -2 ) + ( -7 )
Please
Hello...! :)
Very easy, we must eliminate the Parentheses and then we must use the Law of Signs and in this case we will use this which is:
[tex]\green{\underline{\blue{\bold{Law\: of \: signs:}}}} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - × + = - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \times + = + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times - = + \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \times - = - [/tex]
Once we know we must add but since we know that it is a minus sign (-) we will add it as if it were a simple sum but the minus sign just stays there
We start to solve:
[tex] \: \: \: \: \: \: \sf \red{(-10) } \pink+ \blue{ ( -2 ) } \purple+ \green{( -7 )}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{-10} \blue{ -2 } \green{-7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{-12} \green{ -7}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{-19}[/tex]
And in conclusion, the result of our problem is 19
¿Doubts? in the comments Greetings :D
600 lbs + 480 lbs I need this rounded to the correct precision
The ratio of zebras to monkeys in a circus is 1 to 4. If there are 7 zebras in the circus, then how many zebras and monkeys are there altogether?
Answer:
Step-by-step explanation:
1:4 Ratio on zebras to monkeys.
Can be expressed 1x:4x
7 zebras total.
7 x 4 = 28
7 x 1 = 7
(28 + 7 = 35).
So, there for a ratio of 1:4 equals 28 monkeys and 7 zebras leaving a total of 35 monkeys and zebras together.
Tamara’s shopping bill comes up to $750. How much does she have to pay after a VAT of 15% is added to all the items?
5m+n=10 solve for m I give extra point
Given, 5m+n = 10
5m = 10-n
[tex]m = \frac{10 - n}{5} [/tex]
Hope this helps :)
Answer:
5m = 10- n
m = (10 - n) /5
I used bracket around 10-n because they're both being divided by 5.
Help pls and thanks
The products of the matrices are
[-4 19]
ST = [8 -21]
and
[-12 -8]
TS = [-25 -10]
How to determine the product of the matrices?The matrices are given as
[4 1]
S = [-3 -2]
[0 4]
T = [-4 3]
The product of the matrices is then calculated as
[4 * 0 + 1 * -4 4 * 4 + 1 * 3]
ST = [-3 * 0 - 2 * -4 -3 * 4 - 3 * 3]
Evaluate the sum or difference of products
So, we have
[-4 19]
ST = [8 -21]
Also, we have
[0 * 4 + 4 * -3 0 * 1 + 4 * -2]
TS = [-4 * 4 + 3 * -3 -4 * 1 + 3 * -2]
Evaluate the sum or difference of products
So, we have
[-12 -8]
TS = [-25 -10]
Hence, the products of the matrices are
[-4 19]
ST = [8 -21]
and
[-12 -8]
TS = [-25 -10]
Read more about matrices at
https://brainly.com/question/11425805
#SPJ1
PLEASE HELP!!!
Find the measure of the angle indicated in black (top angle).
6x+4
F. 70
G. 55
H. 95
J. 80
Answer:
F. 70
Step-by-step explanation:
[tex]{ \tt{(6x + 4) = (5x + 15)}}[/tex]
[Alternate angles]
[tex]{ \tt{(6x - 5x) = (15 - 4)}} \\ { \tt{x = 11}}[/tex]
Therefore;
[tex]{ \tt{angle = 6(11) + 4}} \\ = 66 + 4 \\ = 70 \degree[/tex]
What is the image of the point.
Answer:they will both negative because the rules are -x,-y
Step-by-step explanation:
Use the map shown below to find the distance between cities A and B to the nearest tenth.
Answer:
Use the Pythagorean theorem
Step-by-step explanation:
A truck costing $56,000 has accumulated depreciation of $50,000. The truck is sold for $8,500. What is the journal entry for this transaction?
Answer: debit Cash for $8,500, debit Accumulated Depreciation− Truck for $50,000, credit Truck for $56,000, and credit Gain on Disposal for $2,500.
what is the equation for x=3, y=27 pls due tomorrow ASAP
Help and thanks very much
Answer:
ST= [-4 19 TS= [-12 -8
8 -18 ] while -25 -10 ] therefore :- multiplication of matrices is not commutative .
Step-by-step explanation:
multiplication of matrices 2x2
[ a b × [ w x
c d ] y z ]
[ a.w + b.y a.x + b.z
c.w + d.y c.x + d.z ]
Please Help! Which is the set of whole numbers between ten and fifteen? Responses {12, 14} {12, 14} all real numbers all real numbers {11, 12, 13, 14} {11, 12, 13, 14} null set
{11, 12, 13, 14} is the set of whole numbers between ten and fifteen
This is further explained below.
Which is the set of whole numbers between ten and fifteen?Generally, An aliquot is the number zero, a positive natural number or a negative integer with a negative sign.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, {11, 12, 13, 14} is the set of whole numbers between ten and fifteen
Read more about whole numbers
https://brainly.com/question/17429689
#SPJ1
The revenues and expenses of Up-in-the-Air Travel Service for the year ended April 30, 20Y7, follow:
Fees earned $742,000
Office expense 308,000
Miscellaneous expense 10,000
Wages expense 490,000
Prepare an income statement for the year ended April 30, 20Y7. Be sure to complete the statement heading. Refer to the lists of Accounts in the information given, Labels, and Amount Descriptions for the exact wording of the answer choices for text entries. Enter amounts as positive numbers unless the amount is a calculation that results in a negative amount. For example: Net loss should be negative. Expenses should be positive. A colon (:) will automatically appear if it is required.
If the revenues and expenses of Up-in-the-Air Travel Service for the year ended April 30, 20Y7, follow: Fees earned $742,000, Office expense 308,000. The income statement has a net loss of: $66,000.
Income statementIncome statement for the year ended April 30, 20Y7
Revenue:
Fees earned $742,000
Expenses:
Office expense $308,000
Miscellaneous expense $10,000
Wages expense $490,000
Total expenses $808,000
Net loss $66,000
($742,000-$808,000)
Therefore if the revenues and expenses of Up-in-the-Air Travel Service for the year ended April 30, 20Y7, follow: Fees earned $742,000, Office expense 308,000. The income statement has a net loss of: $66,000.
Learn more about income statement here:https://brainly.com/question/24498019
#SPJ1
& PHO
The ratio of boys to girls on the
school bus is 2 to 5. If there are 12
boys on the bus, then how many
girls are there?
Answer: 30
Step-by-step explanation:
Think of each number in the ratio of 2:5 as a group. Each group has to be the same. 2 groups of boys : 5 groups of girls. There are 12 boys on the bus. So the 12 boys are split into 2 groups. 12/2=6. 6 boys are in each group. Since we now know that each group had 6 kids we just need to find the number of girls. There are 5 groups of 6 girls. 5x6=30. There are 30 girls on the bus.
i dont know what the answer is anyone help?What is the integer value of (2)3(2)4(2)5?
Answer:
e=mc2
Step-by-step explanation:
69 ballz = 43= e=mc2
Riley weighs something and records it to the nearest tenth of a gram as 8.6. Is it possible for the actual weight to be 8.549 grams?
Answer:
no
Step-by-step explanation:
it would have to be 8.55 to be rounded up not 8.549... there is a rule of if it is 4 and lower go down and if 5 and higher go up
m=x+y+z/3 solve for y
Answer: [tex]M-x-\frac{z}{3}=y[/tex]
Step-by-step explanation:
[tex]M=x+y+\frac{z}{3}\\\\M-x-\frac{z}{3}=y[/tex]
Given g(t)= -t+5, what is the value of g(-15)?
We have that [tex]g(t)=-t+5[/tex], and we are asked to evaluate [tex]g(-15)[/tex] . In notation of functions like this, the number inside the parentheses is the value of the variable. Or, to be more clear, this is essentially telling us that [tex]t=-15[/tex] for our expression [tex]g(t) = -t+5[/tex]. So we can evaluate it as follows:
[tex]g(-15) = -15 + 5 = -10[/tex]
Based on the histogram above, what is the class width?
Class width =
What is the sample size?
Sample size =
Based on the histogram above, the class width is equal to 4.
Based on the histogram above, the sample size is equal to 37.
What is a class width?In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.
Mathematically, the class width of a data set can be calculated by using this formula:
Class width = (max - min)/n
Where:
max represents the maximum value in a data setmin represents the minimum value in a data set.n represents the number of desired classes.In this context, the class width of this histogram can be calculated as follows;
Class width = max - min
Class width = 5 - 1
Class width = 4.
Furthermore, the sample size can be computed by adding all the frequencies of the corresponding rectangular bars of the histogram as follows;
Sample size = 6 + 10 + 4 + 2 + 7 + 8
Sample size = 37.
Read more on histogram here: https://brainly.com/question/17046231
#SPJ1
During a Brazilian Day celebration, dancers perform in groups to honor Brazil's independence. There are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits. Each group of dancers has the same number of dancers wearing green and the same number of dancers wearing yellow. All of the dancers are in a group. What is the greatest number of groups that can be formed?
The greatest number of groups that can be formed is 7.
How to calculate the value?
It should be noted that there are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits.
The greatest number of groups that can be formed will the highest common factor between the numbers.
It should be noted that the highest common factor between 42 and 56 is 7.
Therefore, the greatest number of groups that can be formed is 7.
Learn more about factor on:
brainly.com/question/24673551
#SPJ1