Answer:
Use the distance formula;
d = SQR[(x2 - x1)^2 + (y2 - y1)^2]
d = 10 and (x2, y2) = (-4, 5)
10 = SQR[(-4 - x1)^2 + (5 - y1)^2]
Step-by-step explanation:
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length 1/2in and 1/6in. The actual tiles have length 2/3ft and 2/9ft. What is the ratio of the length of a tile in the model to the length of actual tile? What is the ratio of the area of tile in the model to the area of an actual tile?
Answer:
Ratio of the lengths = 1 : 16 and 1 : 15.71
Ratio of the Area = 1 : 251.29
Step-by-step explanation:
Model = 1/2in and 1/6in.
Actual = 2/3ft and 2/9ft.
1 ft = 12 inches
2/3 ft = 8 inches
2/9 ft = 2.67 inches
Model = 0.5 inches and 0.17 inches
Actual = 8 inches and 2.67 inches
Ratio
0.5 : 8 and 0.17 : 2.67
= 0.5 / 8 and 0.17 / 2.67
= 1 / 16 and 1 / 15.71
= 1 : 16 and 1 : 15.71
Area of the tile in the model = length × width
= (0.5 × 0.17) inches
= 0.085 inches
Area of the actual tile = length × width
= (8 × 2.67) inches
= 21.36 inches
Ratio of the area
0.085 : 21.36
= 0.085 / 21.36
= 1 : 251.29
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
To learn more about slope visit: https://brainly.com/question/3605446
#SPJ2
You are making some chili and need some onions and peppers. One pound of onions costs $0.97 and one pound of peppers cost $1.30. What is the total cost of 0.76 pounds of onions and 1.5 pounds of peppers? The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is $
Answer:
The cost of 0.76 pounds of onion is [tex]x = \$ 0.988 [/tex]
The cost of 1.5 pounds of peppers is [tex] y = \$ 1.455[/tex]
The total cost is [tex]z = \$ 2.443 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of one pound of pepper is C = $0.97
The cost of one pound of onion is [tex]C_o = \$ 1.30[/tex]
Generally the cost of 0.76 pound of onion is mathematically represented as
[tex]x = \frac{0.76 * 1.30}{1}[/tex]
=> [tex]x = \$ 0.988 [/tex]
Generally the cost of 1.5pound of peppers is mathematically represented as
[tex] y = \frac{1.5 * 0.97}{1}[/tex]
=> [tex] y = \$ 1.455[/tex]
The total cost of 0.76 pounds of onions and 1.5 pounds of peppers is
[tex]z = x+ y[/tex]
=> [tex]z = 0.988 + 1.455 [/tex]
=> [tex]z = \$ 2.443 [/tex]
What is the difference between slope and average rate of change ?
During the bake sale, Paayal and Parvathy sold 200 cookies. Paayal sold her cookies for 5 cents each, while Parvathy sold her cookies for 10 cents each. The total amount of money customers paid for cookies was $11.00. How many cookies did Paayal sell? How many cookies did Parvathy sell?
Answer:
Paayal sold 180 cookies and Parvathy sold 20 cookies.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=200 (1)
0.05x+0.10y=11 (2), where:
x is the amount of cookies that Paayal sold and y is the amount of cookies that Parvathy sold.
First, you can solve for x in (1):
x=200-y (3)
Now, you can replace (3) in (2):
0.05(200-y)+0.10y=11
10-0.05y+0.10y=11
0.05y=1
y=1/0.05
y=20
Finally, you can replace the value of y in (3) to find x:
x=200-y
x=200-20
x=180
According to this, the answer is that Paayal sold 180 cookies and Parvathy sold 20 cookies.
A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?
Answer:
0
Step-by-step explanation:
The slopes of parallel lines are equal.
Since the slope of the 2nd Ave. line is horizontal, it has no slope.
This means that the new road should also have no slope.
Hope this helps.
The 2nd-eve line is horizontal then the slope of the line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run.
Given that a city planner wants to build a road parallel to 2nd Ave. The 2nd eve has the horizontal line.
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 0 ) / ( -4 + 2 )
Slope = 0
Therefore, the 2nd-eve line is horizontal then the slope of the line will be zero.
To know more about slopes follow
https://brainly.com/question/3493733
#SPJ2
7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0
Answer:
1. true
2. false
3. true
4. true
Look at the photo above and Answer the following
First one will get brainliest
Points set to 15 pls answer this as fast as possible grade 9 maths thank you
[tex]6 \times ( - 4) \\\blue{ = - 24}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 20}{ - 5} \\ = \frac{20}{5} \\ \blue{= 4}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 60}{6} \\\blue{ = - 10}[/tex]
[tex] \\[/tex]
[tex] - 2 \times 9 \\ \blue{ = - 18}[/tex]
[tex] \\[/tex]
[tex] \frac{20}{ - 4} \\ \blue{ = - 5}[/tex]
[tex] \\[/tex]
[tex] - 2 \times - 5 \\ \blue{= + 10}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 49}{7} \\ \blue{ = - 7}[/tex]
[tex] \\[/tex]
[tex] - 10 \times - 7 \\ \blue{= + 70}[/tex]
[tex] \\[/tex]
[tex] \frac{36}{ - 6} \\ \blue{= - 6}[/tex]
[tex] \\[/tex]
[tex] - 10 \times 8 \\ \blue{ = - 80}[/tex]
[tex] \\[/tex]
[tex](2 \times - 3) - ( - 7\times - 10) \\ = - 6 - ( + 70) \\ = - 6 - 70 \\ \blue{ = - 76}[/tex]
Can someone help me with this? Multiply (3.1•10^5)(1.8•10^2)
Answer:
5.58 x 10^7
Step-by-step explanation:
What is the common difference or common ratio for the sequence: 27, 9, 3, 1, 1/3, ...
Answer:
It's dividing by 3 everytime, so 1/3
Step-by-step explanation:
what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27
Answer:
y = (1/3)x - 27 <-- perpendicular line
Step-by-step explanation:
9x + 3y = (-27)
3x + y = (-27)
y = (-3x) - 27 <-- original line
y = (-3x) - 27 <-- original line
slope = (-3)
slope = (-3/1)
inverse = (1/-3)
negative inverse = (1/3)
y = (1/3)x - 27 <-- perpendicular line
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answer:
the 2nd and 4th i think
Step-by-step explanation:
(Please Helpp will give brainliest) 54 points
Answer:
6
Step-by-step explanation:
multiple the reciprocal of -2/1
z^3= 216
take cubed root
z=6
Answer: z= 6 ; -1/2 x 6 to the 3rd power = -108
Step-by-step explanation: z= -1/2 x 6= -3; z= -3 to the 3rd power = -108.
What is the most important variable in the problem?
An auto shop has 98 cans of oil at the beginning of the day. 12 hours later, there are 10 cans remaining. How many were sold?
Answer:
Step-by-step explanation:
There are two if you want to answer the question. You have to know the starting value, and you have to know the ending value.
The question asks how many cans were sold. You can't answer that without knowing what you started with and what you ended with.
98 - 10 = 88
I need help with this worksheet I don't understand from 12-14
Answer:
13.jawaban nya
c.
14.jawaban nya
A.
15.jawaban nya
c.
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5 Which is the most accurate description of Miko's work?
Step-by-step explanation:
5 divided by five-thirds can be written in the fractional form is as follows :
[tex]\dfrac{5}{\dfrac{5}{3}}[/tex]
It can be also written as :
[tex]\dfrac{5}{\dfrac{5}{3}}=5\times \dfrac{3}{5}\\\\=3[/tex]
He has done calculations as follows :
3 x 5/3=3/1 x 5/3 = 15/3 or 5
Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.
Answer: A
Step-by-step explanation: i took the test
98*68-67+87
this is for my lady
Answer:
6684
Step-by-step explanation:
Answer:
6684
Step-by-step explanation:
(98)(68)-67+87
PEMDAS
PLS HELP!
What are the missing parts that correctly complete the proof? Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B. Drag the answers into the boxes to correctly complete the proof.
Answer:
Step-by-step explanation:
I've taken the K12 test.
The Blue Plane travels at a constant speed of 120 miles per hour. If it travels for 2 1/2 hours to get to Pennsylvania how far did it go?
Answer:
The answer is 300 miles
Step-by-step explanation:
120x2=240
120x .5= 60
240+60=300
Which of the following is equal to 4 1/2 ÷ 2 2/3 ??? I need help answering this question.
Answer:
27/16 the same as 1 11/16
Step-by-step explanation:
First, make it an improper fraction:
9/2 ÷ 8/3
now flip the second number and multiply across:
9/2 × 3/8 = 27/16
Three ice cream cones cost $8.40. At this rate, how much do two ice cream cones cost?
Answer:
two cost 5.6 dollars
Step-by-step explanation:
8.4 / 3=2.8$
2.8*2=5.6$
Answer:
$5.60
Step-by-step explanation:
You first take 8.40 and divide it by 3. Which makes you get 2.8. 2.8 is the cost per ice cream cone. Do 2.8 times 2 to get 5.6.
Find the volume of this object. Use 3 for pi. (CAN ANYONE HeLP:))
Step-by-step explanation:
sorry for the rough handwriting but that's that
Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi needs to pay?
A 58 dollars (0.20) + 58 dollars
B 58 dollars (0.20)
C 58 dollars (20) + 58 dollars
D 58 dollars (20)
Answer:
The correct answer is A
Step-by-step explanation:
You multiply the original price = $58 to the tip which will be 20% after you add the tip to the original price.
I hope this helped
Answer:
It is A I have done the assignment got 100 good luck and have a fantastic day :D
Step-by-step explanation:
show work .-12.4+9.2
Answer: -12.4 + 9.2 = -3.2
4-2=2
9-12=3
Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.
Answer:
-3.2
Step-by-step explanation:
This is the longer explanation.
-12.4+9.2 let's start with the tenth values.
On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.
Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.
-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.
What’s the 4 terms of the sequence defined by the rule f(n)=n+10
Answer:
f(4) = 14Step-by-step explanation:
f(n) = n + 10
f(4) = 4 + 10 = 14
Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Bracelets
12
16
–4
4
-4/12(100)
-4/12
4/16
4/16(100)
4/16(100)
Step-by-step explanation:
Answer:
4/16(100)
Step-by-step explanation:
in which of these situations do the quantities combine to make 0? A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface. B. Scott earns $20 at his family's garage sale. He then earns $20 walking dogs for his neighbors. C. Travis receives $10 from a friend to pay for a concert ticket. He then spends $20 on tickets for his friend and himself. D. A scuba diver drops 30 feet below sea level. He then swims 30 feet across the ocean floor.
Answer:
A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface.
Step-by-step explanation:
It goes down 20 then up 20
-20 + 20 = 0
Answer:
Answer A
Step-by-step explanation:
This is the correct option as you are going feet down and then 20 feet back up. So basically, an equation that would represent this is -20+20=0.
Calculate the surface area of the prism.
Answer:
152 units.
Step-by-step explanation:
(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)
40+40+48+12+12
152
Jim had three more than twice the number of doughnuts as Jane. Jim had 15 doughnuts. What is the equation to find out how many doughnuts Jane had?
Answer:
x = 15 * 2 + 3
Step-by-step explanation:
hope this helps!
17z = 16z − 15 whats z ?
Answer:
z = -15
Step-by-step explanation:
17z = 16z − 15
Subtract 16z from each side
17z-16z = 16z-16z − 15
z = -15