The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
How to determine the actual area of Julio's kitchen?The parameters are given as:
Length = 4.5 inchesWidth = 3.375 inchesStart by converting the dimensions to feet using the scale ratio
Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feetActual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feetThe area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
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Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
.
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]
if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)
Answer:
f(5)=26
Step-by-step explanation:
hello :
f(n)=f(n-1)+4 means : f(n)-f(n-1)=4 (comon diference for arithm - sequence)
so : f(n) =f(1)+(n-1)×4
f(n) =10+(n-1)×4
f(n) = 4n+6
f(5) = 4(5)+6 =26
Can you do this for me pls
[tex]\frac{x}{y}[/tex]Answer:
Step-by-step explanation:
algebraic thingking: (going from up to down)
1. 30 2. 28 3. 9 4. 20
base ten numbers(up to down)
1. 4.6 2. 46 3. 460 4. 4600
( when your multilplying decimals with multiples of ten or numbers that end in ten... then the decimals movies however many spaces to the RIGHT, depending on how many zeros:)
fractions1. 1 [tex]\frac{1}{2}[/tex] 2. 3 [tex]\frac{1}{3\\}[/tex]
measurment and data
take a better picture of the number line because i cant see the numbres on it:(
geometery
1. Yes, since the sum of angles of a triangle is 180 degrees. If there are two right angles in a triangle then the third angle will be zero degrees, which is quite impossible hence this will not form a triangular shape. This will negate the properties of a triangle.
2. No, not always.
Square is a specific form of a parallelogram when all the sides are equal & each interior angle of a parallelogram is a right angle.
How do you calculate the diameter of a circle
Answer:
diameter is twice the radius ( when given)
Mr. Goldsman runs on the elliptical for 12 minutes for every 5 minutes that Kirby runs (he's not as athletic as Mr. Goldsman). If Mr. Goldsman runs for one and a half hours, how long did Kirby run?
Hint: Make sure all of your times are in minutes!!!!
If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.
How many minutes did Kirby run for?The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs
Rate = 5/12
The second step is to multiply the rate by the minutes run by Mr Goldsman.
5/12 x 90 = 37.5
= 37 minutes 30 seconds
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another retake !! help it’s due today
Answer:
Maurico started with more :)
Step-by-step explanation:
Mariah started with 150 while Maurico started with around 190 so he has more to start with :)
Have a great day!
Please rate and mark brainliest!
Answer:
Mauricio
Step-by-step explanation:
To find who started with more money in their savings account, we want to observe the savings in $ when time=0 years
So by looking at the table of Mariah's savings, we see that when t=0 she had S=150$
By looking at the graph which describes Muaricio's savings as a function of time, we can see that when time=0 or x=0, y=S=190$
In other words, the y-intercept is the initial amount of savings.
190>150
:P
Hope this helps, it would be appreciated if you made me brainliest.
$1200 at 12% for 3 years
Answer:
$1,689.
Step-by-step explanation:
Answer:
If this is compound interest and it is compouned annually,the answer is $1,685.91
If this is simple interest, the answer is $1,632.00
Step-by-step explanation:
Equation for compound interest.
[tex]A=P(1+\frac{r}{n})^{n*t}[/tex]
[tex]A=1200(1+\frac{0.12}{1})^{1*3}[/tex]
[tex]A=1685.91[/tex]
Equation for simple interest.
[tex]A=P(1+r*t)[/tex]
[tex]A=1200(1+0.08*3)[/tex]
[tex]A=1632.00[/tex]
A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox
The number of cubes that will fit into the shoebox is 40 cubes
How to calculate the volume of a boxVolume is the measure of a substance an object contains
Volume of the box = length * width * height
Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit
Determine the volume of the box
Volume of the box = l³
Volume of the box = (1/4)³ = 1/64 cubic units
Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes
Hence the number of cubes that will fit into the shoebox is 40 cubes
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How do function models help us to understand the world?
Answer:
mathematical represents alot of stuff in the really world
If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.
The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=
Answer:
k= -5
Step-by-step explanation:
The equation for slope is rise over run which is also (y2-y1)/(x2-x1)
with the given coordinate being (x,y)
So, we just plug the given values into the equation in order to solve for k.
(9-k)/(-6-1)= -2
First let's simplify the denominator:
(9-k)/(-7)= -2
then we get rid of the denominator by multiplying it on both sides:
(9-k)= (-7)*(-2)
(9-k) = 14
-k = 5
k=-5
can some1 explain to me how to do this
Answer:
-5 = log₄(0.0009765625)
4 = log₄(256)
Step-by-step explanation:
Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...
x = log₄(y)
Taking antilogs, this is ...
y = 4^x
__
For x =-5, the log expression would be ...
y = 4^-5 = 0.0009765625
log₄(0.0009765625) = -5
__
For x = 4, the log expression would be ...
y = 4^4 = 256
log₄(256) = 4
Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?
Answer:
J
Step-by-step explanation:
Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.
[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]
Let the length of the ramp be x.
[tex] \sin5° = \frac{3}{x} [/tex]
Multiply x on both sides:
x(sin5°)= 3
[tex]x = \frac{3}{ \sin5°} [/tex]
x= 34.4 (3 s.f.)
Thus, the length of the ramp is 34 ft. (nearest foot)
HALP PLSSSSSSSS will give brainliset
Answer:
ezz multiply and see what it s if its wrong then txt me
Step-by-step explanation:
Which term BEST describes 11 in the data set?
32, 29, 30, 35, 31, 34, 11
A.mean
B.media
C.mode
D.outlier
Answer:
Choice D.
Outlier
I NEED SOME HELP ON THIS! Which expression represents the volume of the rectangular prism shown? A) 3 x 4 + 11 B) x 2 + 2 x + 11 C) x 4 + 11 x 3 + 24 x 2 D) x 3 + 3 x 2 + x + 8
Answer:
C
Step-by-step explanation:
Volume = bhd
Volume = (x + 3)(x + 8)(x²)
start with (x + 3) and (x + 8), factor:
x² + 8x + 3x + 24
x² + 11x + 24
now bring x² back:
(x² + 11x + 24)(x²)
x⁴ + 11x³ + 24x²
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Justin can use while staying within his budget
Answer:
56 + 5xx < 65
xx < 1.8
Step-by-step explanation:
56 + 5xx < 65
subtract 56 on both sides
56 + 5xx < 65
-56 -56
5xx < 9
divide by 5 on both sides
5xx/5 < 9/5
xx < 1.8 gigabytes
The lines represented by the equations y x = 2 and y = x
2 are
Answer: Parallel
Step-by-step explanation:
Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime
(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)
please help ill give pointssssss
Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.
What is the value of n?The value of n can be found by making n the subject of the formula as shown below;
27π = πn
n = 27π / π
Solving of n therefore gives:
n = 27π/π
n = 27
In conclusion, n is 27.
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the education foundation hosted an anual fundrasing dinner. there were 192 tickets printed for the dinner and each dinner ticket cost $12.50. if 3/4 of the dinner tickets were sold, how much money was rasied frome the dinner ticket sales?
Answer:
Step-by-step explanation:
What is the probability that a student chosen randomly from the class is a male who does not have an A?
Answer:
6/19
Step-by-step explanation:
2+4+7+6=19
dose not have an a=6
6/19
Which is a better price: 5 for $1.00, 4 for 85¢, 2 for 25¢, or 6 for $1.10?
Answer:
2 for 25
Step-by-step explanation:
all you have to do is divide money by the number of items.
Ava buys 3.5 pounds of strawberries for $2.99 per pound. How much does she spend?
Answer:
10.50$
Step-by-step explanation:
3 dollars a pound
3x3=9
half a pound, half the price which is 1.50$
9+1.50= 10.50
Answer:
$10.465 ≈ $10.47
Step-by-step explanation:
3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47
Please mark as brainliest.
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
C
Step-by-step explanation:
4
_
2 can be multiple by 3 and that will be same as 12
_
6
find the surface area of the cube (above) using its net (below).
Answer:
[tex]surface \: area \: ofa \: cube \: \\ area = \: 6 {a}^{2} \\ 6( {3}^{2} ) \\ 6(9) = 54[/tex]
How do I solve the area for the shapes?
Answer:
shaded: 45 units²non-shaded: 36 units²total area: 81 units²Step-by-step explanation:
A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.
For a problem like this, working the last question first can make it easier.
TotalThe total area is the area of a square 6+3 = 9 units on a side. Its area is ...
Total area = s² = (9 units)² = 81 units²
__
Non-shadedThe area of each of the four non-shaded triangles is ...
A = 1/2bh = 1/2(6 units)(3 units) = 9 units²
There are 4 triangles with that area that are not shaded, so ...
Non-shaded region = 4 × (9 units²) = 36 units²
__
ShadedThe shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...
Shaded area = Total area - Non-shaded area
Shaded area = 81 units² -36 units² = 45 units²
A little confused can I get some help?
Answer:
Step-by-step explanation:
4+(7-5)2= 8 I guess
Find the equation of a line that passes through the point (1,-4) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
Step-by-step explanation:
(1,-4) m=2
first find c
-4=2×1+c
c=-6
y=2x+-6