Answer:
40%
Step-by-step explanation:
Discount price = 22 - 13.20 = $8.80
Discount percentage = [tex]\frac{8.80}{22}*100\\[/tex]
= 40%
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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216. Determine the volume of a 75-inch cube.
a. 22.5 cu in
b. 166 cu in
c. 216 cu in
d. 421.88 cu in
Answer:
c
Step-by-step explanation:
because you have to know how many 8nches is a cube
help? linear equations. when you do it drop your Cashapp !
Answer:
5. 8/6x + 2
6. -4x - 2
7. y=3
Step-by-step explanation:
I paid 7% tax on a vest. If the tax was $1.47, what was the cost of
the vest?
Answer:
21
Step-by-step explanation:
Answer:
cost of vest is $21.00
Step-by-step explanation:
set up and equation:
let x be cost of vest
0.07x=1.47
÷0.07 ÷0.07
x= 21
720 gallons/day = ______ gallons/hour
Answer:
30
Step-by-step explanation:
just divide 720 by 24 (Hours in a day)
mark as brainliest please.
13: 3 Simplify the left side of the eq 106.
Answer:
more context please?
Step-by-step explanation:
Determine the domain and range of the line graphed
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeDomain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Interval Notation - [Brackets] denote inclusion, (parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see our x-values span from negative infinity to positive infinity:
Interval Notation - (-∞, ∞)
Inequality Notation - ∞ < x < ∞
According to the graph, we see our x-values span from negative infinity to positive infinity:
Interval Notation - (-∞, ∞) or all real numbers
Inequality Notation - -∞ < y < ∞
Question 5 (2 points)
(07.02)
Solve log x = 4. (2 points)
a
x = 4
b
x = 40
c
x = 1,000
d
x = 10,000
Answer:
i would belive c i might be wrong
Step-by-step explanation:
Answer:
D: x=10,000
Step-by-step explanation:
A zookeeper is 6 feet tall. A young giraffe in his care is 9 feet tall.
1. How many times as tall as
the zookeeper is the giraffe?
2. What fraction of the giraffe's
height is the zookeeper's height?
(Pls help due in 40 minutes)
Answer:
Step-by-step explanation:
The giraffe is 3 times taller than the zookeeper. 2/3 the height.
Which expression is equivalent to 8.6(x – 1) + 8x.
Answer:
16.6 x − 8.6
Step-by-step explanation:
Hope this helps
Stock valued at $49.50 decreases in value by 12% each year. How much will the stock be worth in 5 years? Round your answer to the nearest penny 2 decimal places. 
f(t)=49.50(1-.12)^t
Answer:
Step-by-step explanation:
f(5)=49.5(0.88)^5
f(5)=$26.12
Walmart has 260 chairs on sale. The store sells 30% of its chairs by the end of the day. How many chairs did Walmart not sell that day?
Answer:
182 chairs
Step-by-step explanation:
260 * 0.3 = 78
If Walmart sells 78 chairs today, we need to subtract 78 from 260 to find how many are left
260 - 78 = 182
There are 182 chairs left
Answer:
182
Step-by-step explanation:
30% of 260 = 78
78 - 260 = 182
10.(06.01 LC)
The following set of coordinates represents which figure?
(3,-5), (5,-2), (10,-4), (8, -7) (6 points)
Rectangle
O Rhombus
O Parallelogram
O Square
Answer:
It's a Rhombus
Step-by-step explanation:
Can y’all help me on question 4?! I would really appreciate it have a good day!
Answer:
15:2
Step-by-step explanation:
If you take 45 / 6 you will end up with 7.5
You can't have a ratio with a fraction. So to get a whole number you multiply 7.5 by 2 to get a full number. Therefore 15:2
9514 1404 393
Answer:
D. Volcanic Gray
Step-by-step explanation:
The ratio of paint used is ...
black : white = (4 gal) : (1/2 gal) = 8 : 1 . . . . . . multiply given numbers by 2
This matches the ratio in the table for Volcanic Gray.
Please answer
Will give brainlst
Answer:
The answer is C
Step-by-step explanation:
There are other examples but C
Answer:
Step-by-step explanation:
A: not correct. You're changing phase. That's a physical change.
B: not correct. You are just changing the shape of something. That is physical as well. No electrons moving around is involved.
C: Here's your answer. Anytime you get a gas given off you can suspect that a chemical reaction has taken place.
D: Not true. A mixture formation is not a chemical reaction
someone pls help me‼️
Step-by-step explanation:
to find area of quarter circle---
= πr²×1/4
= 22/7×8×8×1/4
= 50.28
hope this helps:)♥
help pls ill give u a lot of points
On the planet Gespli, there are 10 pisquets to every 7 vreels. if farmer Frank has 40 vreels on his rew farm, how many pisquets are on the farm
Answer:
57 pisquets
Step-by-step explanation:
Ratio of pisquets:vreels = 10:7
Ratio on Frank's rew farm: x:40
since ratios are equivalent, you'd so the same on both sides. To get from 7 to 40 u multiply by a number, so to get from 10 to x u have to multiply by that same number. To find this number, divide 40 by 7: 40/7 = 5.7
Then, multiply this by 10: 5.7 x 10 = 57
there are roughly 57 pisquets on his farm.
hope this helps!
7. Marie can make 12 small mango pies for every 10 mangoes. How many pie
A. Marie can make 30 pies.
C. Marie can make 50 pies
B. Marie can make 40 pies.
D. Marie can make 60 pies
sorry putol po kasi eto
Answer:
D. Marie can make 60 pies.
Step-by-step explanation:
In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:
A. Marie can make 30 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]
[tex]x = 25\,mangoes[/tex]
25 mangoes are required for producing 30 pies.
B. Marie can make 40 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]
[tex]x = 33.333\,mangoes[/tex]
34 mangoes are required for producing 40 pies.
C. Marie can make 50 pies.
[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]
[tex]x = 41.667\,mangoes[/tex]
42 mangoes are required for producing 50 pies.
D. Marie can make 60 pies.
[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]
[tex]x = 50\,mangoes[/tex]
50 mangoes are required for producing 60 pies.
The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.
Hence, correct answer is D.
The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
Answer:
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The phone lines to an airline reservation system are occupied 61% of the time.
This means that [tex]p = 0.61[/tex]
If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
This is P(X = 5) when n = 11. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
The length of a rectangular garden is 3 feet less than twice its width. If 48 feet of fencing is used to enclose the garden, what are the dimensions of the garden?
Answer:
my names jeff
Step-by-step explanation:
Answer:
Step-by-step explanation:
So its a rectangle which means it has 4 sides
two of the sides are x feet long
and two of them are 2x -3 feet long
we also know that all of the sides together are 48 feet long
so the equation would look like
2(x)+2(2x-3)=48
or x+x+2x-3+2x-3=48
It doesn't matter which one you use because they both simplify to
6x-6=48
add 6 to both sides
6x=54
divide both sides by 4
x=9
Find the altitude of the triangle.
30 degrees
Hypotenuse of 14
Answer:
Approx. 12.124 units tall
Step-by-step explanation:
Since you need to find the height (which is adjacent to the given angle), you need to use cosine (adj. over hypotenuse).
cos(30) = x/14
Multiply both sides by 14:
14cos(30) = x
Hope this helps :)
I really need help on this one
what is the answer to: Mila bought 26 pounds of sausage for $65.what was the cost per pound of sausage?
Answer:
$2.50
Step-by-step explanation:
divide $65.00 by 26 pounds
Answer: $2.50 per pound
Step-by-step explanation: $65/26 pound = $2.5 per ponund
I need help with this
Answer:
x = 104 degrees
Step-by-step explanation:
A line like this will always have a measure of 180 degrees, therefore when the two sides are combined, it must equal 180, which means you can set up an equation and x can be determined
72 + x + 4 = 180
76 + x = 180
-76 -76
x = 104 degrees
Hope this helps!
A study was conducted with the objective of determining the effect of two different strength-training programs, one involving the use of a balance ball and the other using stationary exercise equipment, on blood pressure and cholesterol levels in women over the age of 60. Eighty women over the age of 60 were identified and randomly divided into two equal-sized experimental groups. Each member of the two groups was trained and allowed to follow the prescribed routine for 8 weeks. The subjects were aware of the purpose of the study but not that there were two different treatment groups involved. The cholesterol levels and blood pressure for subjects were measured at the start and at the end of the 8 weeks. The experimenter and the medical technician were not told to which group any of the subjects were assigned. This is an example of an attempt to conduct
Answer:
The answer is "a double-blind randomized experiment".
Step-by-step explanation:
In this question, the above option is right, since we realize here how we have randomly separated image into three accurately evaluate, it implies whether random sampling is oresepr and also that the citizens, as well as the medical technician, have no idea whatever the party has got, implying their two-blind diagnosis.
The shirt that you bought was $20. The sales tax was 15%, what was the final price?
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
15% of 20 is 3. We add that to the cost and we get 23.
Find the measure of the indicated angle to the nearest degree please help!
9514 1404 393
Answer:
5. 70°
6. 69°
7. 17°
8. 37°
Step-by-step explanation:
Problems 5, 7, 8 have the opposite side and adjacent side given. You know that ...
Tan = Opposite/Adjacent
Then the angle measure is ...
angle = arctan(Opposite/Adjacent)
__
Problem 6 gives the opposite side and the hypotenuse. The sine relation is involved there:
Sin = Opposite/Hypotenuse
Then the angle measure is ...
angle = arcsin(Opposite/Hypotenuse)
__
5. ? = arctan(93/34) ≈ 70°
6. ? = arcsin(42/45) ≈ 69°
7. ? = arctan(11/35) ≈ 17°
8. ? = arctan(22/29) ≈ 37°
Carrie makes 3/4 servings using 4/7 cups of flour how many servings of cookies does Carrie make with one cup of flour?
Answer:
3/7
Step-by-step explanation:
how many is a division word.
3/4 divided by 4/7 = 3/4 x 4/7 = 12/28 divided by 4/4 = 3/7 (simplified) therefore Carrie can make 3/7 servings of cookies with one cup of flower
i hope i helped you!
Mr. and Mrs. Nooruwal have 7 sons. Each son has three sisters. How many children are in the Nooruwal family?