What is k ? (k = y/x)
If y is dollars earned and x is hours worked,
k = y/x
k = 150 dollars /20 hours
k = 7.50 dollars per hour
What is the equation for the direct variation situation? (y = kx)
y = kx
y = (7.50)(60)
y = 450
How much will she earn for working 60 hours?
y = $450
She will earn $450 after working for 60 hours.
Solve the inequality and write the solution in set-builder notation. 8 <r-14
Answer:
22<rStep-by-step explanation:
soln8<r-148+14<r22<r answer.original price of television is $729 , 18%of the original price , 6% tax applied after discount
Answer:
139.0932
Step-by-step explanation:
729×18%×(1+6%)
729x0.18x(1+0.06)
729x0.18x1.06
139.0932
A small company has $8,250,000 in (annual) revenue, spends 49% of its revenues on purchases, and has a net profit margin of 8. 5%. They would like to increase their profits and they are looking at focusing in one of two directions. First, they think they can save 2. 05% on their purchase expenses. Or second, they can focus on increasing sales. By how many dollars would they have to increase sales in order to equal a 2. 05% savings to purchasing expenses? (Display your answer as a whole number. )
as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500[/tex]
so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25[/tex]
so sales must be increased by that much in order to match the 2.05% of 4042500.
Solid A and Solid B are similar. The surface area of Solid A is 675 m² and the surface area of
Solid B is 432 m2. If the volume of Solid B is 960 m3, find the volume of Solid A.
The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.
What is the Surface Area and Volume of Similar Shapes?If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:
Surface area of solid A/Surface area of solid B = a²/b²
Volume of solid A/Volume of solid B = a³/b³
Given that solid A and solid B are similar, and:
Surface area of solid A = 675 m²Surface area of solid B = 432 m²Volume of solid B = 960 m³.Find their corresponding dimensions, a and b:
Surface area of solid A/Surface area of solid B = a²/b²
Substitute
675/432 = a²/b²
√(675/432) = a/b
1.25 = a/b
Scale factor of Solid A to Solid B is 1.25.
Multiply 1.25 by 960 to get the volume of solid A.
Volume of solid A = 960 × 1.25 = 1,200 m³.
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A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 What is (are) the critical value(s) for z in this study? –1. 65 and 1. 65 –1. 96 and 1. 96 1. 65 1. 96.
The Critical z-values are -1.96 and 1.96 option second is correct.
It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.
It is required to find the critical z-values.
What is the critical value of Z?It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.
We are assuming the data given below:
x = 3.5
[tex]\mu =3.3[/tex]
[tex]\sigma = 0.6[/tex]
n = 40
We know the formula for the Z score:
[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]
Z = 2.10
The area under the normal distribution curve:
P(Z= 2.10) = 0.9821 ( from the z table)
We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.
H1: There is a significant difference in levels of job satisfaction.
The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.
The critical z-values are:
-1.96 and 1.96 (from the critical value calculator at a 5% significance level with two-tailed)
Thus, the Critical z-values are -1.96 and 1.96 option second is correct.
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What is the value of `x` in the solution of the system of equations?`3x-2y=6``\ \ x+2y=10`
Answer:
x = 4
Step-by-step explanation:
3x - 2y = 6 → (1)
x + 2y = 10 → (2)
add (1 ) and (2) term by term to eliminate y
(3x + x) + (- 2y + 2y) = 6 + 10 , that is
4x = 16 ( divide both sides by 4 )
x = 4
How would I reduce this to lowest terms?
Since "a" is on the top and the bottom, you can simplify that
[tex]\frac{a^2b^2}{ac}[/tex]
[tex]\frac{ab^2}{c}[/tex]
pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY
Use the drop-down menus and the image to complete these statements about prokaryotes. prokaryotes a nucleus surrounding their chromosome of dna. prokaryotes are simple cells than eukaryotes. prokaryotes have a outside their cell membrane that gives protection and support. prokaryotes will often move by a tail-like .
Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.
What are eukaryotic and prokaryotic cells?Eukaryotic cells are larger than prokaryotic cells and have a “true” nucleus, membrane-bound organelles, and rod-shaped chromosomes. The nucleus houses the cell's DNA and directs the synthesis of proteins and ribosomes.
All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. Prokaryotic cells lack a nucleus and membrane-bound structures. Eukaryotic cells have a nucleus and membrane-bound structures called organelles.
So..the answer should be Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.
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Answer:
Prokaryotes
✔ do not have
a nucleus surrounding their chromosome of DNA.
Prokaryotes are
✔ more
simple cells than eukaryotes.
Prokaryotes have a
✔ cell wall
outside their cell membrane that gives protection and support.
Prokaryotes will often move by a tail-like
✔ flagellum
.
Step-by-step explanation:
The area of a 2/3 cube
Answer:
2 that's what soup calculated says
What is the area of H?
How many pieces of wood will be brought to complete the project?
Answer:
250
Step-by-step explanation:
Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5
·[tex]3\sqrt{10}\ times -6\sqrt{30}[/tex]
Due by 12:23
Answer:
-180√3
Step-by-step explanation:
3√10 x - 6√30
= 3x-6 x -√10 x √30
= -18 x√300
= -18 x 10√3
= -180√3
3/5 of an apple tree are ripe what PERCENT of the tree is NOT ripe?
Answer:
40 percent
Step-by-step explanation:
100 / 5 = 20
⅕ = 20 percent
⅗ = 60 percent
100 - 60 = 40
confused on the function and method for this... help me out please.
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then
∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with green fabric. How much fabric does Abdul need in order to cover 8 of these blocks?
4cm
22cm
32cm
176cm
Please show your work. Thanks!
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = lengthw = widthh = height2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
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Answer:
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
Step-by-step explanation:
How many 3 digit numbers can be formed by 0; 2; 4; 5; 7 such that the digits are divisible by 5 and the repetition of any number is not allowed
Answer:
Three digit number to be divisible by 5 , the last digit should be 5 or 0
_ _ _5
Two remaining places can be filled in 4×3=12
_ _ _0
Two remaining places can be filled in 3×3=9 (0 cannot be filled in the first place, it will become 2 digit number).
Total =12+9=21
How many ways can 10 students line up in a food counter?
Answer:
for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...
so its 10x9x8x7x6x5x4x3x2x1=3628800
Step-by-step explanation:
sana makatulong
Anyone know what (2×10⁵) ÷ (4×10²) is?
Answer:
50²
Step-by-step explanation:
(2×10⁵) ÷ (4×10²)
2 × 100000 ÷ 4 × 100
200000 ÷ 400
= 500
= 50²
the temperature is falling at rate of 3 degrees per hour. if the temperature at 12 midnight is "-2°c," what will be the temperature at 5:00 am
Answer:
- 17° C
Step-by-step explanation:
the temperature falls at 3° per hour
midnight → 5.00 am is 5 hours , then
5 × - 3 = - 15 ← falls 15° in the 5 hours
temperature at 5..00 am = - 2 - 15 = - 17° C
Answer:
-17
Step-by-step explanation:
as it is falling by three so at 5am it will reach -17
Triangle PQR is shown, what is the value of x?
Answer:X = 13
Step-by-step explanation:
An exterior angle is equal to the sum of the two opposite interior angle
⇒95=4x+3 + 3x+ 1
95=4x + 3x + 3 + 1
95=7x + 4
95-4=7x
91=7x
91/7=x
13=x
This implies that X= 13
(Pls Help ASAP) (If you don't know don't Answer)
Answer:
Step-by-step explanation:
4x + y = 8
x + 3y = 8
[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]
So, this system of equations is consistent and independent.
-4x + 6y = -2
2x - 3y = 1
[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]
So, the system of linear equations are consistent and dependent.
5x -2y = 4
5x - 2y = 6
[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]
This system of equations is inconsistent.
The expressions (30-2)(30+2) and 30^2-2^2 are equivalent and can help us find the product of two numbers. which two numbers are they?
Answer:
28 and 32
Step-by-step explanation:
The product indicated in your problem statement is ...
(30 -2)(30 +2)
= 28 × 32
The two numbers are 28 and 32.
__
The equivalent (30^2 -2^2) means that product is 900 -4 = 896.
whats 1+1 first answer i will vote brainlyest
Answer:
2
Step-by-step explanation:
Yessir
What is the totale of the recta
square meter
What are the missing operations?
A. 48 ? (-8) = (-6)
B. (-40) ? 8 =( -5)
C. 12 ? (-2) = 14
D. 18 ? (-12) = 6
E. 18 ? (-20) = -2
F. 22 ? (-0.5) = -11
48 / -8 = -6
-40 / 8 = -5
12 - (-2) = 14
18 - (-12) = 6
18 - (-20) = -2
22 x (-0.5) = 11
True or false the incenter of a triangle is the center of the only circle that can be circumscribed about it?
Answer:
true because the center of the triangle is in the middle
Select all the situations where knowing the volume of an object would be more useful than knowing its surface area.
A. Measuring the amount of gasoline left in the tank of a tractor.
B. Packing a box with watermelons for shipping.
C. Filling an aquarium with buckets of water.
D. Charging a company for ad space on your race car.
E. Determining the amount of paint needed to paint a barn.
F. Determining the monetary value of a piece of gold jewelry.
G. Deciding how much wrapping paper a gift will need.
Answer:
The answers are A, B, C, and probably F
Step-by-step explanation:
Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.
Hope this helps!
Ella's family took a road trip to Niagara Falls. Ella slept through the last 14% of the trip. If Ella fell asleep after they had travelled 602 miles, what was the total length of the trip?
The total length of the trip is approximately 700 miles as per the concept of percentage.
To find the total length of the trip, we need to determine the distance covered before Ella fell asleep and then calculate the whole trip's length.
Let's denote the total length of the trip as "T" miles.
Ella slept through the last 14% of the trip, so she was awake for the first 100% - 14% = 86% of the trip.
The distance covered before Ella fell asleep is 86% of the total trip's length:
86% of T = 0.86T
We know that Ella fell asleep after they had traveled 602 miles, so we can set up the following equation:
0.86T = 602
To find the total length of the trip, we solve for T:
T = 602 / 0.86
T ≈ 700
The total length of the trip is approximately 700 miles. Ella's family traveled this distance, and Ella fell asleep after they had traveled 602 miles, which is 86% of the total trip's length.
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tthx for the help can you answer this question
Answer:
A = 41
B = 31
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the three angles in this triangle: 108, x+5, x-5
added up, we get
108 + (x+5) + (x - 5) = 180
= 108 + 2x + 5 - 5
= 108 + 2x
subtract 108 from both sides to isolate the variable and its coefficient
72 = 2x
divide both sides by 2 to solve for x
x = 36
A = x + 5 = 36 + 5 = 41
B = x - 5 = 36 - 5 = 31
Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 24 years
Answer
The population of the city in 24 years will
be approximately 2,024,467.3206337208
What is the population in 24 years?
The formula for calculating future value:
Population:- 2,024,466