Which deciamal shows 0.06 as an equivalent number of thousands?
The decimal that shows 0.06 as an equivalent number of thousands is 0.060
How to determine the decimal that shows 0.06 as an equivalent number of thousands?The number is given as
0.06
To determine the equivalent number of the decimal in thousands, we simply add more zeros after the last significant digits
So, we have
Number = 0.0600000
Reduce the zeros till the thousandth place value
So, we have
Number = 0.060
Hence, the decimal that shows 0.06 as an equivalent number of thousands is 0.060
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Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table for ingredients X and Y for the given number of servings?
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 3, 4.
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 4, 8.
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 3, 5.
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 4, 6.
A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented the following equation:
y = kx
Where:
y and x are the variables.k represents the constant of proportionality.Since the recipe ingredients remain in a constant ratio, we have:
k = y/x
For table 1, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 4/3.
For table 2, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 8/3.
For table 3, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 5/3.
For table 4, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 6/3 = 2.
In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.
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Mia Wong is receiving the total accounts receivable of Wong's department store. Credit customers paid $90,000 this month. This represents 60% of all receivables due. What is Mia's total accounts receiving?
Mia's total accounts receiving is $1,50,000.
What is the total accounts receiving?Accounts receivable refers to the sum of money due to a company for goods or services delivered or utilized but not yet paid for by customers (AR). The balance sheet classifies accounts receivable as a current assets. Any money that clients owe for purchases they purchased using credit is referred to as "AR" (account receivable).Given :
receivables dues paid by customers = $90,000
Let Mia's total accounts receiving be $ x.
According to the question,
⇒ 60% of x = 90,000
⇒ [tex]\frac{60}{100} x[/tex] = 90,000
⇒ x = (90,000×100) /60
= 1,50,000
Therefore, Mia's total accounts receiving is $1,50,000.
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and for d i put d, pls let me know xx
) If 4x - 3y = 12 and y = -4, then x =
Answer:
x=0
Step-by-step explanation:
4x -3y =12
4x - 3(-4)=12
4x+12=12
4x=0
x=0
how is it possible that the formula for the area of a rectangle and the formula for tge area of a parallelogram are both base time?
Step-by-step explanation:
This is due to the fact that a parallelogram consists of both a triangle and rectangle .
The base of a parallelogram is rectangular
How can a number be a power of 10
Answer:
An exponent is often referred to as a power of 10, for instance, [tex]\sf 6\boxed{^7}[/tex], as the exponent is highlighted. A number can only become a power of 10 under certain circumstances in an expression, on the other hand, you have exponents alone in expressions like "45² + x", the exponent was assigned to a number and that means that we multiply that number by itself that number of times. Logically speaking, it's impossible for a number alone to be a power of 10 or to become one out of the blue, a power of 10 is assigned into an expression and before a whole number before you start working on it, which is the equation.
I hope that answered your question as much as possible, notify me of any concerns.
Answer:
Well:
Step-by-step explanation:
When it has a little 10 on the top of a number. like 7 with a little 10 in the corner. :]
6( 3 + 5 ) 2 - 9a evaluate the expression when a = 3 and b = 5
The value of the expression 6( 3 + 5 ) 2 - 9a when a = 3 is 69
In this question,
we have been given an expression 6( 3 + 5 ) 2 - 9a
We need to evaluate given expression when a = 3 and b = 5
We substitute a = 3 in given expression and solve it.
6( 3 + 5 ) 2 - 9a ..........(given expression)
= 6( 3 + 5 ) 2 - 9(3) ..........(substitute a = 3)
= 6(8) 2 - 27
= 96 - 27
= 69
Therefore, the value of the expression 6( 3 + 5 ) 2 - 9a when a = 3 is 69
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What are the solutions to the following inequality?
2x+6<4
We get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).
We are given an inequality:
2 x + 6 < 4
We need to find the solution for the inequality.
2 x + 6 < 4
Subtract 6 from both the sides, we get that:
2 x + 6 - 6 < 4 - 6
2 x < - 2
Divide both the sides by 2, we get that:
2 x / 2 < - 2 / 2
x < - 1
x ∈ ( - ∞ , - 1 )
Therefore, we get that, the solution for the inequality 2 x + 6 < 4 will be x ∈ ( - ∞ , - 1 ).
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A salesperson earns a weekly base rate of
$210 plus $50 for each sale made. Write the
equation to model the salesperson's weekly
income, y, given he makes x sales.
write an absolute value equation that has the given solutions x=--10 and x=4
The suggested answers to the absolute value problem l x - 13 l = 7.
Except for 0, the absolute value is represented by a positive integer. In a variety of mathematical and physical situations, the notions of magnitude, distance, and norm are intimately related to the concept of absolute value.
In order to do this on a budget, find a number N that:
N-10=-(N + 4)
When we isolate N, we obtain:
2N= 10-4= 6
N= 6/2= 3
Following that, N-10= 3-10=-13, and N + 4= 3 + 4= 7.
as well as the fact that I-13I= I7I.
We can now express our equation as follows:
l x-13 l =7
As a result, where the roots (or solutions) of x = -10 and x = 4 are.
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you are working on an air conditioning system. A roll of cylindrical copper tubing has an outside diameter of 7/8 inch and an inside diameter of 3/4 inch. How much refrierant can 12 feet of the tubing hold?
The amount of refrierant the tubing can hold is 0.037 cubic feet..
How much refrierant can the tubing hold?A cylinder is a three-dimensional object that is made up of a prism with a circular base. In order to determine how much refrigerant that cylindrical coil can hold, the volume of the cylinder has to be determined.
First, the dimension of the inside diameter has to be changed to feet
1 inch = 1/12 feet
3/4 x 1/12 = 1/16 feet
Volume of a cylinder = πr²h
Where:
π = pi = 22/ 7r = radius = diameter / 2 = 1 /16 ÷ 2 = 1 /16 x 1/2 = 1/32h = heightVolume = 22/7 x (1/32)² x 12 = 0.037 cubic feet.
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Tyler has a shoe box in the shape of a right rectangular prism. He is filling the box with cubes that are each 1 cubic inch in order to find the volume of the box. He finds that 48 cubes completely fill the bottom of the box and that he can put 2 more layers of cubes in the box. What is the volume of the box in cubic inches?
The volume of Tyler's shoe box is 144 cubic inch
From the question, we are to calculate the volume of the shoe box.
From the given information, we have that
Tyler is filling the shoe box with cubes that are each 1 cubic inch.
and
He found out that 48 of the 1 cubic inch cube completely fills the bottom of the box
Also,
He observed that he can put 2 more layers of cubes in the box.
Thus,
The number of 1 cubic inch cube that would completely fill the box is
48 + (2×48)
= 48 + 96
= 144 cubes
Since the cubes are 1 cubic inch each,
Then,
The volume of the shoe box = 144 × 1 cubic inch
Volume of the shoe box = 144 cubic inch
Hence, the volume of Tyler's shoe box is 144 cubic inch
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A developer is considering buying a triangular plot of land represented by the shaded figure below.
180 yd
550 yd
What is the total area of the land?
O 365 yd²
O 730 yd²
O 49,500 yd²
O99,000 yd²
The total area of the land that the developer is considering to buy is 49,500 yards².
We are given a triangular plot of land having the dimensions as:
Base = b = 550 yards
Height = h = 180 yards.
We need to find the area occupied by the triangular plot.
Area of a triangle refers to the space occupied by the shape or object.
Area = 1 / 2 × b × h
Substituting the values in the formula, we get that:
Area = 1 / 2 × 550 yards × 180 yards
Area = 550 yards × 90 yards
Area = 49,500 yards²
Therefore, we get that, the total area of the land that the developer is considering to buy is 49,500 yards².
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Answer:
C. 49,500 yd2
Step-by-step explanation:
good luck
A pump is being used to fill a 1400-gallon tank. After the pump has run for 2 minutes the tank contains 110 gallons of oil. After 5 minutes the tank contains 200 gallons of oil. Assume the pump fills oil at a constant rate.
(a) Write a linear model that describes the gallons of oil (G) in the tank in terms of the time (t) since the pump was started.
(b) How much oil is in the tank after the pump has been running for 13 minutes?
(c) At what time, will there be 890 gallons of oil in the tank?
(d) What is the t-intercept for this equation? What does it represent in terms of the situation?
Answer:
See below
Step-by-step explanation:
From 2 minutes to 5 minutes the pump puts in (200-110) = 90 gallons ...in 3 minutes....so the rate of the pump is 30 gal / min
at two minutes the pump has put in 30 x 2 = 60 gallons......so there was 50 gallons in the tank to start ( 50 + 60 = 110)
the equation becomes :
G = 50 + 30 t
where t = minutes
and 50 is the initial volume in the tank
For 13 minutes G = 50 + 30 (13) = 440 gallons
For 890 gallons 890 = 50 + 30 t
840 = 30 t
t = 28 minutes
t intercept occurs when G = 0
0 = 50 + 30 t
t = - 5/3 minute <====this is the amount of time before measurements were taken.....or the time for the pump put in 50 gallons before the start
Find the area of the shaded region. (help needed asap. thank u)
The area of shaded region is calculated as: 112.5 cm².
How to Find the Area of the Shaded Region?The area of the shaded region in the diagram above is:
Area of shaded region = area of rectangle - area of triangle = (length)(width) - 1/2(base)(height).
Given the following:
Length of rectangle = 20 cm
Width of the rectangle = 9 cm
Base of triangle = 20 - 3 - 2 = 15 cm
Height of triangle = 9 cm
Plug in the values into the equation, area = (length)(width) - 1/2(base)(height):
Area of shaded region = (20)(9) - 1/2(15)(9)
Area of shaded region = 180 - 67.5
Area of shaded region = 112.5 cm²
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PLS HELP
explain why it uses ≈ instead of = when giving the values for pi?
what would it mean if it said that pi+22/7? How would that change how you classify pi?
Answer:
Step-by-step explanation:
It's because the latter one is not a approximation, like about, while the first one is.
You find that the number of messages you receive on your message board varies directly as the numbers of messages you post. When you post 5 messages, you receive 12 messages in return. Which variation equation can be used to predict how many messages you will post in order to receive 96 messages? A y = 12/5x - 96 B y = 5/12x + 96 C y = 12/5x
Answer: C) y=12/5x
Step-by-step explanation:
Divide 12 messages by 5 posts to find out how many messages you would receive for just posting 1 message (2.4)
Then determine how many times it goes into 96 (2.4 x 40 = 96)
Austin and Cody went to a carnival. They got to the carnival at nine minutes to nine in the morning and didn't leave until half past four in the afternoon. How long did Austin and Cody stay at the carnival?
what is m decreased by 6
Answer:
m-6
Step-by-step explanation:
this is what I think it it
A 6.5 foot tall man casts a shadow that is 4.7 feet long. If the shadow of a flag pole is 8 feet long, how tall
is the flag pole?
The flag pole is
feet tall.
Enter an integer or decimal number [more..]
Round to the nearest tenth of a foot if needed.
Answer:
11.1
Step-by-step explanation:
This is a question involving ratios and proportions
The ratio of man's height to his shadow length = 6.5/4.7
The ratio of flagpole height to its shadow must be in the same ratio
If h is the height of the flagpole then h/8 is the ration of height to shadow length
Therefore,
[tex]\dfrac{6.5}{4.7} = \dfrac{h}{8}\\\\\mathrm{Multiplying \;both\;sides\;by\;8\;}\\\\\dfrac{6.5 \times 8 }{4.7} = h \\\\Or,\\h = \dfrac{6.5 \times 8 }{4.7} \\\\Which\;simplifies\;to:\\\\h = 11.0638\\\\h = 11.1 \;rounded\;to\;the\;nearest\;tenth\;of\;a\;foot[/tex]
The ratio of the length of a soccer field to the width of the field is 3:2. A scale drawing of a soccer field has a scale of 1 in.: 20 yds. The length of the field in the drawing is 6 inches. What is the actual width of the field?
Explain your reasoning.
The actual width of the field 80 yard. when proportion is 3 : 2.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
We have the proportion
3/2 = 120/w
where in the numerator are the length and in the denominators the width of the field.
Now , 3 . w = 120 . 2
3w = 240
w = 80
Therefore , the actual width of the field 80 yard.
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Please can anyone help me
Answer:
x = 121°
Step-by-step explanation:
180° - 155° = 65°
360° - 304° = 56°
x = 65° + 56° = 121°
Identify the type of conic given. x^2 - 6x + 7y - 33 = 0
What are the steps to turn it into standard form?
The standard form for the Parabola is given as
[tex]y=-\frac{1}{7} x^2+\frac{6}{7} x+\frac{33}{7}[/tex]
This is further explained below.
What are the steps to turn it into standard form?Generally, the equation for is mathematically given as
x^2-6 x+7 y-33=0
Solve for y.
Move all terms not containing y to the right side of the equation.
7 y=-x^2+6 x+33
Divide each term into 7 y=-x^2+6 x+33 by 7 and simplify.
[tex]y=-\frac{x^2}{7}+\frac{6 x}{7}+\frac{33}{7}[/tex]
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
y=a x^2+b x+c
Reorder terms.
[tex]y=-\left(\frac{1}{7} x^2\right)+\frac{6}{7} x+\frac{33}{7}[/tex]
[tex]y=-\frac{1}{7} x^2+\frac{6}{7} x+\frac{33}{7}[/tex]
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What is (−116)(51)(−2)?
1,392
−1,392
11,832
−11,832
Answer:
11832 ............
Step-by-step explanation:
Y = (-116)(51)(-2)
Y = (-116) × (51) × (-2)
Let's multiply the +- symbols first ...... So ,. (-) × (+) × (-) = (+)NOTE :- (+) × (+) = (+) (+) × (-) = (-) (-) × (+) = (-) (-) × (-) = (+) After we multiply the numbers ...... (116) × (51) × (2) = 11832so combined the number and symbol ...... That's the Answer ... Answer : + 11832 = 11832write a equation for the situation please
Step-by-step explanation:
let Irene's share be x and Charlie's share be y
x=2y-8
x+y=$47.50
x=$47.50-y
$47.50-y=2y-$8
$47.50+$8=2y+y
$55.50=3y
y=$55.50/3
y=$18.50
x=$47.50-$18.50
x=$29
Answer:
Irene's share = 29
Charlie's share = 18.5
Step-by-step explanation:
R bill = 47.5
Irene's share = (2 × Charlie's share )-8
Irene's share = y
Charlie's share = x
bill = x + y = 47.5
y = 2x -8
x + 2x - 8 = 47.5
3x = 47.5 + 8= 55.5
x = 18.5
y = 29
(a) Determine the net change between the indicated points on the graph.
b) determine the average rate of change between the indicated points on the graph.
The net change between the indicated points is -1 and the average net change is - 0 . 75 .
The difference between the two f(x) values is the net change.
The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .
The two given points on the graph are (1,4) and (5,1)
The net change is given by the change in the y -coordinates of the graph .
Δy = y₂ - y₁
Here y₂ = 1
and y₁ = 4
Therefore Δy = y₂ - y₁ or, Δy = 1 - 4 = - 3
Hence the net change is -3 units.
Now the average net change is calculate by the change in y divided by the change in x.
average net change = Δy ÷ Δ x
again , average net change = -3 ÷ ( 5 - 1 ) = - 0 . 75
The average net change for the function is - 0 . 75
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What is the equation of the line that passes through (1, 3) and (-2, -3)?
Answer:
y = 2x + 1
Step-by-step explanation:
The slope is
[tex]\frac{-3-3}{-2-1}=2[/tex]
Substituting into point-slope form, the equation is
[tex]y-3=2(x-1)[/tex]
which rearranges into slope-intercept form as:
[tex]y-3=2x-2 \\ \\ y=2x+1[/tex]
Amanda wants to project a movie from her phone to a screen on the wall. The side length of the screen on the wall is 56 in. The scale from the screen on the wall to the phone is 7 in. to 1 in. What is the side length of Amanda's phone?
The side length of Amanda's phone is 8 inches.
What is the side length?A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. A scale is a used to determine the ratio between the scale drawing and the original diagram.
The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. The scale in this diagram is 7inches to 1 inches. This means that the screen on the wall is 7 times larger than her phone's screen.
In order to determine the side length of Amanda's phone, divide the scale of the screen by the side length of the screen on the wall.
Side length of Amanda's phone = 56 inches / 7 inches
= 8 inches
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The point J(5,3) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, J^?
If the point J (5,3) is rotated 90° counterclockwise around the origin, then the coordinates of the resulting point J' will be (-3, 5).
As per the question statement, a point J (5,3) is rotated 90° counterclockwise around the origin.
We are required to determine the coordinates of the resulting point J'.
To solve this question, we need to follow a rule of cartesian coordinate geometry which is, "If a point (x, y) is rotated 90° counterclockwise around the origin, then the coordinates of the new point lie on (y, -x).
Here, Coordinates of the original point (J) are (5, 3), i.e.,
(x = 5) and (y = 3).
Therefore, Coordinates of the resulting point (J') after J (5,3) is rotated 90° counterclockwise around the origin will be:
[x' = (y) = 5] and [y' = (-x) = (-3)], or, (-3, 5).
Coordinates: These are a pair of numbers that describe the exact position of a point on a coordinate plane, by using the horizontal and vertical distances from the two reference axes.To learn more about Cartesian Coordinates, click on the link below.
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