Complete question :
the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?
Answer:
2.5 fts, 14.4 fts
Step-by-step explanation:
Given that:
Scale of original blueprint : 2inches = 3 feets
To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :
Original scale : 2 inches = 3 feets
Original blueprint length = 14 inches
Then,
2 inches = 3 feets
14 inches = d
Cross multiply :
2d = 42
d = 21 feets
Hence, new scale for blueprint :
16.8 inches = 21 feets
2 inches = d
16.8d = 42
d = 2. 5 feets
For the width :
14 inches = 16.8 feets
12 inches = w
14w = 201.6
w = 201.6/14
Width = 14.4feets
FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.
slope (m):
y-intercept (b):
equation:
Answer:
Slope = -60 miles per hour
y-intercept = 300 mi.
Equation of the line → y = -60x + 300
Step-by-step explanation:
Let the equation representing relation between the distance to beach and time taken is,
y = mx + b
Where, m = slope of the line = Average speed of Kate
y = Distance to the beach
x = time taken
b = Distance from the beach at t = 0
Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope the line joining (5, 0) and (0, 300),
Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour
y intercept 'b' = 300 mi.
So the equation will be,
y = -60x + 300
What’s the volume to this shape?
Answer:
30x^6
Step-by-step explanation:
5×2×3=30
x+x+x+x+x+x=6x
Indices gets added when they are multiplied
Answer:
[tex]540x^{3}[/tex]
Step-by-step explanation:
First, we need to simplify all over the cubes and squares.
2x^2 = 4x
3x^3 = 27x
5x=5x
Then , we need to multiply them together.
27x*4x= 108x
108x*5x = 540x
Now, we have our answer
Lexi runs the snack stand at Belleview Community Pool. This morning, she withdrew $150 from the stand's bank account to buy supplies. When the stand closed this evening, she deposited $437 from the day's sales. What was the total change in the stand's bank account relative to where it started?
Answer:
Step-by-step explanation:
Let the initial money in the account be y.
Lexi withdrew $150 from the stand's bank account to buy supplies. This will be:
= y - $150
Later, she deposited $437 from the day's sales. The money in the account will now be:
= y - $150 + $437
= y + $287
The total change in the stand's bank account relative to where it started will be the initial amount + $287.
Answer:
287
Step-by-step explanation:
54/x = 9/7
What does X=
Answer:
the answer is 42.
Step-by-step explanation:
9 times 6 is 54.
7 times 6 is 42.
Answer:
It'd be 486/7 or 69 and 3/7
Step-by-step explanation:
Expand & simplify 4(t+2)+6(t-4)
Answer:
10t - 16
Step-by-step explanation:
4(t + 2)+ 6(t - 4)
4t + 8 + 6t -24
10t - 16
2(x + 3) = 18
please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.
Answer:
6
Step-by-step explanation:
2(x+3)=18
2x+6=18
2x=12
x=6
Answer:
x = 6
Step-by-step explanation:
2(x + 3) = 18
2x + 6 = 18
2x = 12
x = 6
Please help me out with this!! No joke answers!
Answer:
13 protons
14 neutrons
13 electrons
Step-by-step explanation:
protons and electrons are mostly always the same
Answer:
Number of Protons 13
Number of Neutrons 14
Number of Electrons 13
plzzz help
-7/9 times 9/8 in fraction form
Answer:
7/8 (simplified)
Step-by-step explanation:
Answer:
-7/8
Step-by-step explanation:
-7/9*9/8
Simplify
-7/1*1/8=
-7/8
What expressions are equivalent to 10^-5x10^2
See attachment for math work and answer.
is this a function or not pt.3
Answer:
Yes, it is a function.
Step-by-step explanation:
We can determine a relation is a function when the domain is assigned each to one range number. All the domain values are different and all the range values are different which proves that definition. Thus, makes it a function.
Best of Luck!
help solve 90 please
Answer:
c=263
Step-by-step explanation:
Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7
Answer:
The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.
So y==7x+3 has the steepest (greatest value) slope
Step-by-step explanation:
The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
The formula for finding the equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
The line that will be the steepest must have the largest slope.
Looking at the equation y = 7x +3
Get the slope by comparing to have;
mx = 7x
m = 7
Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest
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What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.
Step-by-step explanation:
The angle between the slope of the line parallel to the line whose equation is
[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]
The slope intercept form is represented as follows;
[tex]y = mx + b[/tex]
where
m = slope
b = y-intercept
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 1/6 = -1
m₁ = - 1/ 5
The line's angle of slope is 6
Additionally, the slope product of two lines that are perpendicular to one another is -1.
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-1/10 divided by 1/6
[tex]-0.6[/tex]
For more help, Take a look at this chart.
Answer:
-3/5
Step-by-step explanation:
-1/10 divided by 1/6
-1/10 x 6/1
-6/10 the divided by 2
-3/5
Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image
Answer:
i
Step-by-step explanation:
dk
A puppy weighs 3 pounds what is the puppy's weight in ounces
Answer:
48 onces
Step-by-step explanation:
Answer:
48 ounces.
Step-by-step explanation:
Which of the following statements demonstrates the identity property of multiplication?
A.-5(18) = -5(20 - 2)
B. (-4)(1) = 4
C.7.-8=.8.7
D.9.(2.7) = (92) - 7
Answer:
B i think
Step-by-step explanation:
The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.
Find the slope of the line passing through the points (3,7) and (3,-5).
Answer:
I believe the slope of the line passing through the points is x= -3
Dan has 4 over 5 cup of ice cream. How many 1 over 8 -cup servings are in 4 over 5 cup of ice cream?
A. 6 and 2 over 5
B. 6 and 1 over 2
C. 8 and 2 over 5
D. 8 and 1 over 2
Answer:
it is A
Step-by-step explanation:
you have to do Keep Change Flip on the step one that's on the picture 4 * 8 equals 32 five of the nominator * 1 equals 5 the answer is 32/5 they are asking another way to explain this answer. 6 2/5 is the answer because 5 times 6 =30 plus 2 thats on the top = 32/5
Landon is going to use a computer at an internet cafe. The cafe has an initial charge of $10 to use a computer and an additional charge of $0.80 for every minute of use. Write an equation for C , C, in terms of t , t, representing the total cost of using a computer for t t minutes at the internet cafe.
Answer:0.80t+10
Step-by-step explanation:
A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months
Answer:
17.7 meters
Step-by-step explanation:
x = 30
15 + 0.09*30
0.09*30 = 2.7
2.7 + 15 = 17.7 meters
Photons of red light have a wavelength of approximately $7\times 10^{-7}$ meters. The energy of a photon is inversely proportional to its wavelength. A photon with 2000 times the energy as a photon of red light will have a wavelength that can be written as $a\cdot 10^b$ meters, where $1\le a < 10$. (In other words, in scientific notation.) What is $a+b$ written as a decimal?
Answer:2.97 ×10 − 19 J
The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.
Answer:
Step-by-step explanation:
Find the option below:
h(x) = –2x2 – 13x + 6
h(x) = –2x2 – x + 3
Reservoir A releases less water than Reservoir B over 1 week.
Reservoir A releases the same amount of water as Reservoir B over 1 week.
Reservoir A releases more water than Reservoir B over 1 week.
Given the expressions
Reservoir A f(x) = x^2 – 7x + 5
Reservoir B g(x) = 3x^2 – 6x+2
We are to find the f=difference between the functions h(x) = f(x)-g(x)
Substitute
h(x) = x^2 – 7x + 5 -(3x^2 – 6x+2)
h(x) = x^2 – 7x + 5 -3x^2 +6x-2
collect like terms
h(x) = x^2 -3x^2 +6x– 7x+ 5-2
h(x)= -2x^2-x+3
Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)
h(x)= -2x^2-x+3
h(1)= -2(1)^2-1+3
h(1)= -2-1+3
h(x)= -3+3
h(x)= 0
This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week
Answer:
a,c,b
Step-by-step explanation:
i took the test
8.5x -2(2x +8) = 11
what is the answer
Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patients, what is the probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places
Answer:
The probability [tex]P(\^ p > 0.80) = 0.99957[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.90
The sample size is n = 30
Generally mean of the sampling distribution is [tex]\mu_{\= x } = p = 0.90[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]
=> [tex]\sigma = 0.03[/tex]
Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as
[tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]
Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]
So
[tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]
From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]
So
[tex]P(\^ p > 0.80) = 0.99957[/tex]
Choose four values to substitute in for x in the function below and then graph the function. The first row is done for you. ( Just need help with the Table )
Answer:
Answers to complete the table are 0, 3, 6, 9.....and (2,0)(3,3)(4,6)(5,9)
Step-by-step explanation:
-6+3(2)=0
-6+3(3)=3
-6+3(4)=6
-6+3(5)=9
hope this helps
Solve for x,
3x+5=14
Answer:
x = 3
Step-by-step explanation:
First, isolate the variable by subtracting 5 on both sides:
3x=9
Then, divide both sides by 3:
x = 3
Noah walks to school from home by going 7 blocks north, to a post office, and then 24 blocks east. Noah's home, point H, is at (0,0); the post office, point P, is at (0,7); and the school, point S, is at (24,7). If Noah then walks home using the direct path, what would be the total distance Noah traveled to school and back home?
Answer:
25
Step-by-step explanation:
The total distance Noah traveled to school and back home will be Noah's displacement. Displacement of Noah can be gotten using Pythagoras theorem.
d² = y²+x²
Direction through north (along y-axis)
Direction through east (along x-axis)
Given
y = 7units
x = 24units
Substitute
d² = 24²+7²
d² = 576+49
d² = 625
d = √625
d = 25 units
Hence the total distance Noah traveled to school and back home is 25blocks from post office
a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=
Step-by-step explanation:
hope this helps you!! :))
The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
What is angle ?Angle is the space between two lines or surfaces that meet, and is measured in degrees.
So,
According to the question;
[tex]\angle x =65^0[/tex]
([tex]\angle x[/tex] is vertically opposite of the given angle [tex]65^0[/tex])
[tex]\angle y = 71^0[/tex]
(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)
We know that,
Sum of all angles of triangle is equals to [tex]180^0[/tex].
i.e.
[tex]x+y+z=180^0[/tex]
we have,
[tex]65+71+z=180[/tex]
[tex]z=180-136[/tex]
[tex]z=44^0[/tex]
So, the value of [tex]z[/tex] is [tex]44^0[/tex].
Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
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Nestor works at a garden center where he posts plants. It takes him 2 1/2 hours to pot 15 plants. How many plants can Nestor pot in 1 hour? * how many plants can he pot in 1 hour?
Answer:
Nestor can pot 6 plants in 1 hour.
Step-by-step explanation:
first lets convert 2 1/2 hours in mixed fraction form for better calculation
2 1/2 hours = (2*2 + 1)/2 = 5/2 hours
no of plants pot in 5/2 hours = 15
to find no. of plants pot in 1 hours lets
divide both side by 5/2
no of plants pot in 5/2/(5/2) hours = 15/(5/2) = 15*2/5 = 6
no. of plants pot in 1 hour = 6
Thus, Nestor can pot 6 plants in 1 hour.