12.
Find the value of x. If necessary, round to the nearest tenth.


A. 7.0 in.

B. 9.9 in.

C. 14.0 in.

D. 11.9 in.

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

Step-by-step explanation:

formula of volume of cone is given so u simply substitute the values given and calculate.

Work is done for u .

Hope this helps u

Answer:

25%

bc its 1/4 = 0.25 of the purchase price.

the other percentage is 45

108/240 = 54/120 = 18/40 = 4.5/10 = 45/100

Answer:

h=4cm

Step-by-step explanation:

a) volume of a cuboid= LBH

cuboid a=(3x2x8)cm³

=48cm³

cuboidb

6cmx2cmxh=48cm³

12cm²xh=48cm³

12cm²h/12cm²=48cm³/12cm²

h=4cm

Answer:

See explanation

Step-by-step explanation:

Total fruit purée = 2 1/4 L

purée for One movie = 3/8 L

which expression can be used to find the number of movies you can make

Number of movies you can make = Total fruit purée ÷ purée for One movie

= 2 1/4 ÷ 3/8

= 9/4 ÷ 3/8

= 9/4 × 8/3

= (9*8) / (4*3)

= 72 ÷ 12

= 6

Number of movies you can make = 6

Answer:

23

Step-by-step explanation:

The pattern is adding by 5

18+5=23

Hope this helps! :)

Answer:

23

Step-by-step explanation:

each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

------------------

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

Answer:

$10.65 divide by 5 equals $2.13

Answer:

The cost per bag of dog treats is $2.13.

Step-by-step explanation:

We have the total, so to find the cost per bag you would take the total and divide by how many bags there are.

Total = $10.65

How many bags there are : 5

$10.65 divided by 5 = 2.13

The cost per bag of dog treats is $2.13.

Answer:

option 4 see desmos graph will help you

(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

On a number line, graph all the temperature that are warmer than -2°C.

(a)-2 °C  temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.

The inequality to express the relationship between -2 and -5 will be -2>-5.

Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

To learn more about the graph, refer to the link;

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Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Answer:

Maximum value.

it = -1.

Step-by-step explanation:

Maximum value as the coefficient of x^2  is negative.

To find this value we convert to vertex form:

y = -3x^2 + 6x - 4

y = -3(x^2 - 2x) - 4

y = -3[(x - 1)^2 - 1] - 4

y = -3(x - 1)^2 + 3 - 4

y = =3(x - 1)^2 - 1

Minimum value = -1.

Answer:

ans : x in terms of p is 15/p and if p is -5 than x= -3

Step-by-step explanation:

4( px +1 ) = 64

( Px + 1 ) = 64/4

px = 16 - 1

x = 15/p

and , if p= -5 than,

x = 15 / (-5)

= - 3

Answer:

It will take the train 1.2375 minutes to pass the tunnel

Step-by-step explanation:

Mathematically, we know that ;

time = distance/ speed

The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000

We have this as 132/1000 = 0.132 km

So, we have the time as;

0.132 km/6.4 km/hr = 0.020625 hr

Mathematically, we know that 60 minutes make an hour;

so we have

0.020625 * 60 = 1.2375 minutes

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

Learn more about Rounding off here:

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Answer:

96

Step-by-step explanation:

80*120=9600 divided by 100

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

Answer:

[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].

What we're given:

Substituting given values, we get:

[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]

Answer:

c

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]

We know r is 5, and h is 12.

Then we can just plug the values into the formula.

[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]

So the answer is c, 300pi

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10

Answer:

Cost of case = $5

Step-by-step explanation:

x = cost of camera and y = cost of case

x = y + 90

x + y = 100

y + 90 + y = 100

2y = 10

y = 5

x = y + 90

x = 5 + 90

x = 95

Therefore, the cost of the camera is $95 and the cost of the case is $5.

The cost of case is 5 dollars.

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Let,

Cost of camera = a and

Cost of case = b

Given that, camera and a case cost 100 dollars

a + b = 100

Since, the camera cost 90 more dollars than the case

So, a = b + 90

Substitute the value in the equation a + b = 100

b + 90 + b = 100

2b = 10

Divided by 2 both the sides

b = 5

Substitute the value of b in equation

a = b+ 90

a = 5 + 90

a = 95

So, the cost of the camera is $95 and the cost of the case is $5.

Hence, the cost of the case is 5 dollars.

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Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

Step-by-step explanation:

x2+1/x2=27

x2+1=27x2

1=26x2

x2 = 1/26

x = √(1/26)

x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3

x3+1/x3 = 134

Please find attached photograph for your answer