A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
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Alice plants carrots in a rectangular garden bed. The garden bed has a width of 1.5
meters and an area of 6 square meters. Which equation and solution correctly represent
2, the length, in meters, of the rectangular garden bed?
Help
Answer:
4
Step-by-step explanation:
6 divided by x equals the width 1.5
or
x times 1.5 equals the area 6
then divide the 6 by 1.5 equals 4
I Hope I Helped YOU :)
A line passes through (3,7) and (5,9). Write the equation of the
line in slope-intercept form.
Answer:
y = x+4
Step-by-step explanation:
First, we find the slope
m = (y2-y1)/(x2-x1)
m = ( 9-7)/(5-3)
= 2/2
=1
Slope intercept form of a line is y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Using one of the points
7 = 1*3+b
7 = 3+b
4=b
y = x+4
HELPPP
I NEED TO CHECK OFF ALL THE FUNCTIONS PLEASE HELP ME
Answer:
I'm not sure but I think it's everything outside of circular, graphic and reflective. I'm only unsure with the last one but since it's 4 point I would assume it's 4 answers.
Plzzzz help mee plzzzzzzz
Answer:
A. 20%
Step-by-step explanation:
Hope it helps!
I’m stuck on this question, can anybody help?
Answer: 1/4
Step-by-step explanation:
Noon is 12:00
Supposing that each number is one hour
15 minutes = 1/4 hrs
And therefore 12:15 PM is represented as 1/4
Here’s the zoomed graph!
Answer:
10x + 15
Step-by-step explanation:
Answer:
I dont know what the question is asking you but im assuming it was asking you what is the equation:
Slope = 10.
Equation: y=10x+15
Y-intercept: 15
---------------------
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
my Christmas present to you
Answer:
TY
Step-by-step explanation:
Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0
Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
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If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles
Answer:
7 and a half minutes. have a good one.
how do you solve this question
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
HELP ASAP NO LINKS
Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?
O A. $646.07
OB. $609.50
OC. $575.00
O D. $500.00
Answer: the answer is B which is $609.50
Step-by-step explanation:
I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50
Answer:
What that other person said
5^2 + (6.7 - 3.1)
plz help
We begin by calculating the expression inside the parentheses
[tex] {5}^{2} + (6.7 - 3.1) \\ {5}^{2} + (3.6)[/tex]Simplify exponents and square roots
[tex] {5}^{2} + 3.6 \\ 25 + 3.6 \\ = 28.6[/tex]Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
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Help please I’ll give the highest point ! :)))) tysm I need it done by 10:20
Answer:
hope it helps you.........
Answer:
10/14 - 7/14 = 3/14 :D
Step-by-step explanation:
you have to find the common denominator, in this case its 14. then, whatever number you multiplied the denominator by, you have to multiply the numerator by. so, 5/7x2= 10/14, and 1/2x7 = 7/14, then its just 10-7 which equals 3
what is the perimeter of 4in. 4in.
Perimeter = 4 × side
[tex] = 4 \times 4 \\ = 16in[/tex]
The perimeter of a 4-inch square is 16 inches.
How do you write 6.6 × 100 in standard form?
Answer:
660
Step-by-step explanation:
Move the decimal point on the 6.6 right by 2 spaces, and left 2 spaces on the 100:
From 6.6 × 100
to 660. × 1.00
660
A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is
17 meters longer than the width, w.
The length and width of a rectangular field fully enclosed with 218 metes fencing are 63 meters and 46 meters respectively.
The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:
perimeter = 2(l + w)where
l = length
w = width
perimeter = 218 meters
The length of the field is 17 meters longer than the width, w. Therefore, the length is defined as follows:
l = 17 + wThe length and the width can be calculated as follows:
218 = 2(l + w)
218 = 2(17 + w + w)
218 = 34 + 4w
218 - 34 = 4w
184 = 4w
divide both sides by 4
w = 184 / 4
w = 46 meters
length = 17 + 46
length = 63 meters
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How do I solve this triangle?
Answer:
check the length and the angles and check the height of it
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
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Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.
Step-by-step explanation:
3.75/5=0.75
75 cents per banana for B
0.75/12=0.0625
0.0625 per banana for A
grocery a has the best and lowest unit price.
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Pls hurry
Answer:
8 potatoes for $2.56 is the better deal.
Step-by-step explanation:
unit price formula; cost ÷ quantity
2.56 ÷ 8 = $0.32
4.32 ÷ 10 = 0.432
round to the nearest hundredth
= $0.43
compare the answers
Answe 42.2
Step-by-step explanation:
The other vender because he got 42.2 dollar other got 20.48
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? PLEASE HELP THE CORRECT ANSWER WILL GET BRAINLIEST ANSWER
Answer:
71/120
Step-by-step explanation:
The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
Answer:
blue or maybe green try purple
Ms. Jackson wants to rent for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week.
c = cost
w = weekly fee
Equation:
c = 0.30m + w
Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane
Answer:
5/10 more
Step-by-step explanation:
If e=9, find the value of 4e
Answer:
y = a e bx, b > 0
Step-by-step explanation:
took this test and got an A++
Answer:
36
Step-by-step explanation:
if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.
Bob is buying groceries at the store. The price before tax is $57, and after tax the total is $62.91. What is the sales tax applied to the groceries? Round to the nearest hundredth.
Which graph represents a system of equation within solution?
Answer:
B
Step-by-step explanation:
In B, the lines are parallel meaning they will never intersect and have no solution. However, in C you can tell that the lines will intersect eventually so it does have a solution.
Answer:
B
Step-by-step explanation:
From the picture I can see you crossed out A and D, which only leaves B and C. If we extrapolate the graph at C the lines are eventually going to intersect, whereas in B the lines are going in parallel against each other, meaning there will never be an intersection between the two. So B would represent a system of equations with no solutions.