Round these numbers as shown.
(i) 0.0975 to 1 d.p
(¡) 58.361 to nearest whole number
(in) 145676 to nearest 1000 (iv) 22567 to nearest 100

Answers

Answer 1

Answer:

0.1?

58

146,000?

22600

Step-by-step explanation:

So I assume first is 1st decimal place, so that would be the first after the decimal and then the number after has to be 5 or above, which it is. So then its just 0.1

This is easy, look at the decimal, its below .5, so 58.

Same thing for the rest, just look at the digit before.


Related Questions

sin x = 15/2
COS X =
√95
12

Answers

Answer:

[tex]\sqrt{95}/5[/tex]

A box contains 2 green, 5 blue, and 8 yellow chips. If two chips are drawn at random one after the other with replacement.
find the probability that both the chips are green.

Answers

The probability that both the chips are green is: 4/225

How to determine the probability?

The given parameters are:

Green = 2

Blue = 5

Yellow = 8

Total = 15

The probability that both the chips are green is:

P = P(green) * P(green)

This gives

P = 2/15 * 2/15

Evaluate

P = 4/225

Hence, the probability that both the chips are green is: 4/225

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Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?

Answers

Answer:

9$

Step-by-step explanation:

$3.49 rounds to 3 dollars since it is not half of a dollar. If it was $3.50 (which is half of a dollar) it would round to 4 dollars, but it isn't so it just rounds to $3. $1.14 rounds to one dollar, but since there were three of them  there will be a total of three dollars (approximately) in oranges. $3.46 rounds to $3. Add all three estimates together and you get 9 dollars :)

5. a number from 1-50 is chosen at random.
what is the probability that it is a perfect
square or a multiple of 4?

8/25

3/50

2/5

9/50

Answers

Answer:3/

Step-by-step explanation:


Find the volume of each solid. Round to the nearest hundredth. Show your work

Answers

Answer is 512 cu.ft.
Volume of a cube is length x width x height
So 8 x 8 x 8 = 512

a sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange and 4 strawberry

what is the total number of chocolate bars if there are:
a) 280 orange flavored bars?

b) 960 coconut flavored bars?

c) 79 coffee flavored bars?

Answers

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

How to calculate the number of chocolate bars

Since there are 5 different flavors,

let

x = orange flavored bars, y = coconut flavored bars, z = coffee flavored bars, a = strawberry flavored bars and b = honeycomb flavored bars and X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

a. What is the total number of chocolate bars if there are 280 orange flavored bars?

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

b. What is the total number of chocolate bars if there are 960 coconut flavored bars?

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

c. What is the total number of chocolate bars if there are 79 coffee flavored bars?

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

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The average height of American women (in 2016) is 5 ft. 4 inches (64 inches) with a standard deviation of 3 inches. What is the probability that the average height of a random group of nine American women would be less than five feet three inches

Answers

Probability of average height of women is 0.1379

First check to see if the Central Limit Theorem applies. Since n > 30, it does. Next we need to calculate the standard error. To do that we divide the population standard deviation by the square-root of n, which gives us a standard error of 0.646. Next, we calculate a z-score using our z-score formula:

Z=(X−μ)/S.E.

S.E = σn/√n

S.E =3/√ 9

S.E=1

Plugging in gives us:

(64−63)/1 = 1

Finally, we look up our z-score in our z-score table to get a p-value.

The table gives us a p-value of,

P(z<1.0)=1−P(z>1.0)

P(z<1.0)=1−0.8621

P(z<1.0)=0.1379

So, Probability of average height of women is 0.1379

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A large tank of sterile water holds 200 gallons . It is leaking at an unknown rate. At 4:30 pm the tank had 137 gallons and at 7:00 pm the tank had 115 gallons. Assuming the tank was full when the leak began , write a function to estimate how much water is in the tank. now find the time at which the tank began leaking and the time at which the tank will be empty.

Answers

Answer:

1. 8.8 gallons per hour

2. 9:20 am

3. 8:04 am

Step-by-step explanation:

The tank lost 22 gallons of water in 150 minutes (2.5 hours)

This is a rate of 0.14666 gallons per minute or 8.8 gallons per hour

The function: 200 - 0.147(x)

So at 4:30 pm, the tank lost 63 gallons. So at a rate of 8.8 gallons per hour, that means it has been leaking for 7.16 (.16 hours = 9.6 minutes) hours.

So it has been leaking since 9:20 am.

In order for it to completely empty, it needs to drain 115 gallons of water.

At a rate of 8.8 gallons per hour, that means it needs 13.068 hours or 13 hours and 4 minutes.

So it will be empty at 8:04 am.

What are the factors of the trinomial?

(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)
(x + 4) and (x – 5)

Answers

Part A x^2-3x -4
Part B x^2 +3x -4
Party C x^2+x-20
Part D x^2-x-20

If three farmers share some bags of fertilizers in the ratio 3:4:5.if the smallest share is 18 bags.what is the largest share

Answers

Answer:

30

Step-by-step explanation:

Sum of the ratios = 3 + 4 + 5 = 12

Smallest share = 18 bags

Ratio of the smallest share = 3

Let the largest share = x

From the question

18 ------------ 3

x --------------5

Cross multiply

3x = 18 × 5

Dividing bothsides by 3

X = 18 × 5/ 3

X = 90 / 3

X = 30

Therefore.

The largest share = 30

AREA UNDER A CURVE


please explain too ty <3

Answers

I don’t even know lol I struggled with this too,

URGENT PLEASE!
Find the values of x, y, and z.

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.  The value of x,y, and z is √38,  (5√38)/3, and √80.556, respectively.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The measure of Y is,

y² = 5² + 3²

y = √38

The measure of ∠C,

Tan(∠C) = 5/3 = z/√38

z = (5√38)/3

The measure of z is,

z² = 5² + x²

x = √80.556

Hence, the value of x,y, and z are √38,  (5√38)/3, and √80.556, respectively.

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the graph of F(x) shown below resembles the graph of G(x) =x^2 but it has been changes somewhat. Which of the following could be the equation of F(x)

Answers

Using translation concepts, the equation of the graph F(x) is given as follows:

F(x) = -x² - 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:

F(x) = -x² - 3.

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pls help I’m losing my mind

Answers

the answer is C, “x” is sitting at a 90 degree angle. meaning that if half of Y is 45 degrees the other half mist be too.

Answer:

1) x+45=180

x=180-45

x=135

ans.=135

2) (2x-30)+y= 180

28xy=180

xy= 180-28

y=152

Pls help 20 points :)

Answers

Answer:

49 cm²

Step-by-step explanation:

Half circle: 1/2 π r² ≈ 1/2 * 3.14 * 16  = 25.12

Rectangle: 3*8 = 24

Add them: 25.12 + 24 ≈ 49

How do you write 9.26 as a fraction?

Answers

Answer:

463/50 or 9 13/50

Answer:

9.26=9 13/50

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

9.26=9.26/1

Multiply to remove 2 decimal places. Here, you multiply top and bottom by 10^2 = 100

9.26/1×100/100=926/100

Find the Greatest Common Factor (GCF) of 926 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

926÷2/100÷2=463/50

Simplify the improper fraction,

=9 13/50

In conclusion,

9.26=9 13/50

Which of the following functions shows the linear parent function, F(x) = x,
shifted right?
OA. G(x) = 4x
OB. G(x) = x + 2
OC. G(x) = x-9
OD. G(x) = -x

Answers

Answer: C

Step-by-step explanation:

See attached image.

Over the weekend, Kari drank 5/6 of a bottle of soda and Aisha drank 1/6 of a bottle.
How much more soda did Kari drink than Aisha?

Write your answer as a fraction or as a whole or mixed number.
bottles

Answers

Answer:

4/6= 2/3

Step-by-step explanation:

5/6 - 1/6 = 4/6

lowest form : 2/3

Answer:

Hello! The answer to your question is 2/3.

Step-by-step explanation:

In this problem, you have to find how much more soda Kari drank than Aisha. To find how much more, you will have to use subtraction:

[tex]\frac{5}{6}- \frac{1}{6} \\= \frac{4}{6}[/tex]

4/6 can be simplified by dividing the numerator and denominator by 2:

4/2 = 2

6/2 = 3

Therefore, your answer is:

[tex]\frac{2}{3}[/tex]

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation

Answers

The composition of similarity transformations that maps Triangle LMN to TriangleL'M'N is a dilation with a scale factor less than 1 and then a reflection. Opion A. This is further explained below.

Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'?

Generally, In the case of a reflection across the y-axis, the y-coordinate of a point stays the same but the x-coordinate is changed into its inverse.

Triangle LMN has the coordinates (2, 1), (1, 1), and (1, 3).

(-4,-4) (-3,-4) (-3,-2).

In conclusion, Assuming that the coordinates (2, 1), (1, 1), and (1, 3) of Triangle LMN. This is the translation 5 units down (x,y-5): Two units to the right (x+2, y-5) of the coordinates (2,-4), (1,-4), and (1,-2): (4, -4), (3, -4), (3, -2)

It is a reflection along the y-axis, with coordinates of (-4,-4) and (-3,-4) (-3,-2)

Therefore, Triangle L'M'N' is the result of the transformation sequence in Option A.

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Answer: a

Step-by-step explanation:

i got it right on the test

The perimeter of a rectangular piece of paper is 28 inches. The area is 45 square inches. What are the dimensions of the paper?

Answers

The dimensions of the paper are 9 by 5 inches

How to determine the dimensions?

Let x represent the length and y, the width

The given parameters are:

Perimeter, P = 28

Area, A = 45

So, we have

P = 2(x + y) = 28

A = xy = 45

Rewrite as:

2(x + y) = 28

xy = 45

By trial by error, we have:

x = 9 and y = 5

This can be proved as follows:

2(9 + 5) = 28--- true

9 * 5 = 45 --- true

Hence, the dimensions of the paper are 9 by 5 inches

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A company's prospectus includes:
A) The company's investment options.
B) The company's guaranteed return strategy.
C) The company's revenue and net worth.
D) The company's research

Answers

A company's prospectus includes: A) The company's investment options.

What is a company's prospectus?

Company's prospectus can be defined as the document that entails  detail information of a company investment option that are available for sales to potentials buyers or investors.

Examples of the investment options are:

BondsStocksMutual Funds etc

Therefore the correct option is A.

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A company's prospectus is a formal legal document designed to provide information and full details about an investment offering for sale to the public.

37 The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters.
Which measurement is closest to the difference between the circumference of circle X and the
circumference of circle Y in centimeters?
A 15.7 cm
B 7,85 cm
C 137 cm
D 31.4 cm

Answers

Answer:

A

Step-by-step explanation:

this can be done without any calculator, which I did and explain below :

the circumference of a circle is always

2×pi×r

with r being the radius, which is always half of the diameter.

so, the circle X circumference is

pi×15

circle Y

pi×20

the difference is

20×pi - 15×pi = 5×pi

5×pi is half of 10×pi, which would be 10×3.1415... = 31.415...

half of that is about 15.7.

so, A is the correct answer

Answer:

cual es la respuesta de esta pregunta

The second term in a geometric system is 12. the fourth term in the same sequence is 4/3. what is the common ratio in the sequence.

Answers

Answer:

36/43 I think.

Step-by-step explanation:

Wyzant

A binary operation∆is defined on the set of real number R by x∆y=x²+y-2xy. evaluate (2∆½)​

Answers

Answer:2.5

Step-by-step explanation:

4+1/2-2=2 1/2 according to the formula

Question 1 (Multiple Choice Worth 5 points) (04.03 MC) The ratio of sugar to flour used in a pudding recipe is 1:3. Which figure shows equivalent ratios? ​

Answers

The figure that shows equivalent ratios for the ratio of sugar to flour would be Figure 2.

What figure has equivalent ratios?

The ratio os sugar to flour is 1:3. An equivalent ratio would be one that is 1:3 or 3:1.

Figure 2's ratios are:

6 :2

9:3

12:4

When all of these are taken to their simplest form, we get:

3 : 1

Figure 2 is therefore an equivalent ratio.

Rest of the question is:

he ratio of sugar to flour used in a pudding recipe is 1:3. Which figure shows equivalent ratios? #1: 3,1. 9,2. 3,15 #2: 6,2. 9,3. 12,4 #3: 9,5. 6,3. 13,1 #4: 9,4. 6,3. 3,2

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Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F.

[Figure may not be drawn to scale]

In triangle ABC, BG = 24 mm. What is the length of segment GE?
12 mm
24 mm
36 mm
48 mm

Answers

GE = 12 mm
Medians are concurrent and cut each other in the ratio of 2:1 from the vertex
BG:GE = 2:1 = 24:12

help!!!!
Which of the following graphs shows the
solution set to x ≥
-3 and x < 3?

Answers

Answer:

C. or third choice.

Step-by-step explanation:

For x ≥ -3 you will need a colored in circle because it has a greater than or equal to sign, and it is shaded to the right.

For x < 3 you will need a circle that is not colored in because it is a less than sign, and it is shaded to the left.

Hope this helps!

If not, I am sorry.

When David was asked how old he was, he said " I'm three times younger than my dad, but twice as old as Rebecca. " Then little Rebecca ran up to him and declared "i am 30 years younger than my dad". How old is David

Answers

Using a system of equations, it is found that David is 12 years old.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

Variable x: David's age.Variable y: Dad's age.Variable z: Rebecca's age.

David is three times younger than the dad and twice as old as Rebecca, then:

x = y/3 -> y = 3x.x = 2z.

Rebecca is 30 years younger than the dad, hence:

z = y - 30.

Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.

x = 2(y - 30)

x = 2(3x - 30)

x = 6x - 60

5x = 60

x = 60/5

x = 12.

David is 12 years old.

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In the diagram, the area of
the shaded region is

Answers

Area of shaded region is 42sq.cm

I hope this helps u.

the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the other cylinders ​

Answers

The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

How to find the capacitance

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = [tex]\frac{725}{3. 142 * 3}[/tex]

r² = [tex]\frac{725}{9. 426}[/tex]

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

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