Which are rational numbers check all that are true

Answer:

C. x = 5

Step-by-step explanation:

[tex]2x - 1 = 9[/tex]

[tex]2x = 9 + 1[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

Answer:

x1 = -4

x2 = 3

Step-by-step explanation:

[tex]x^{2} + x = 12\\x^{2} +x-12=0\\x^{2} +4x-3x-12=0\\x*(x+4)-3(x+4)=0\\(x+4)*(x-3)=0\\x+4= 0 \\x-3=0\\x=-4 \\x=3\\x1=-4 \\x2=3[/tex]

Step-by-step explanation:

=> x² + x = 12

=> x² + x -12 = 0

=> x² + 4x - 3x -12 = 0

=> x ( x + 4)-3(x + 4) = 0

=> ( x + 4)(x-3)=0

=> x = 3 , -4

Answer:

14.37 is your answer for his meal, hope this helped. <3

Step-by-step explanation:

You have 13.77 then you add 7% then round it  up.

Step-by-step explanation:

my guess it's 4

(x+7) (x-3)

The value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

It is given that:

[tex]f(x) = x^2 -2x - 24[/tex]

and [tex]f(x+3) = x^2 + kx - 21[/tex]

Putting x = x+3 in the definition of f(x), we get:

[tex]f(x+3) = (x+3)^2 -2(x+3) -24\\\\f(x+3) = x^2 + 6x + 9 -2x -6 - 24\\\\f(x+3) = x^2 + 4x -21[/tex]

Comparing it with [tex]f(x+3) = x^2 + kx - 21[/tex], we see that k is having value as 4 for the considered function.

Thus, the value of k for which f(x + 3) = x^2+kx-21 for the considered function f(x) is found to be k = 4

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

Answer:

-13 feet

Step-by-step explanation:

Answer:

-13 feet

Step-by-step explanation:

We Start With -8 and we go 5 feet deeper so -8-5 is -13

Answer:

2x + 3 > -9

2x > -12

X> -6

D

Step-by-step explanation:

and i hope this helps u because if  it dont im dead

Step-by-step explanation:

2x+3>-g

= 2x>-9-3

= 2x>-12

=x>-6

it's was helpful to you

Answer:

Non-Linear

Includes a cluster

Positive Association

Includes an outlier

Step-by-step explanation:

Answer: 0.0188

Step-by-step explanation:

Using the Central Limit Theorem, it is found that the standard deviation of the sampling  distribution of p is 0.0144.

In this problem:

Then, the standard deviation is:

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{1012}} = 0.0144[/tex]

The standard deviation of the sampling  distribution of p is 0.0144.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444

Answer:

It's option A

change the answer

Answer:

its a so yeah

Answer: A

Step-by-step explanation:

A) 50/ 45 = 1.111....

B) 65/60 = 1.08333...

C) 99/90 = 1.1

D) 90/120 = .75

Answer:

A

Step-by-step explanation:

Divide each amount by the number of minutes to find the rate per minute. Then multiply by 60 to find the hourly rate. Then compare the hourly rates.

A

$50 / 45 min * 60 = $66.66/hour

B

$65 / 1 hour = $65/hour

C

$99 / 90 min * 60 = $66/hour

D

$90 / 2 hours = $45/hour

Answer: A

Answer:

-10<1

which means that -10 is less than 1

Answer:

A

Step-by-step explanation:

-10 is smaller than 1 because all the negative numbers are less than 0 and all other positive numbers

Answer:

35 members

Step-by-step explanation:

In a tennis club the ratio number of junior members : number of senior members is 7 : 10

From the above ratio

Number of junior member = 7

Number of senior members = 10

There are 18 more senior members than junior members.

S = 18 + j

10 + 18 = 28 senior members

Hence,

Total number of members = 28 senior members + 7 junior members

= 35 members

Answer:

D. 1 liter

Step-by-step explanation:

1000 milliliters = 1 liter

Player 1: 1000 ml or 1 liter

Player 2: 500 ml or .5 liter

Player 3: 500 ml or .5 liter

Player 4: 2000 ml or 2 liter

Add: 1 + .5 +.5 +2 = 4

Subtract: 5 - 4 = 1

Answer: You have 1 liter left  

Given,

Length = x+7

Breadth = x+5

We know that,

Area of rectangle = length × breadth

So, area of the given rectangle

= (x+7)(x+5)

= x² + 5x + 7x + (7×5)

= x² + 12x + 35

Answer: 900π

Step-by-step explanation: To calculate the area of a circle, we do πr^2, where r is the radius. The radius is 30, so the answer is 900π.

Hope this helps!

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

Answer:

40/9

$189

Step-by-step explanation:

1 2/3 / 3/8 =

4 4/9 = 40/9

6.85 x 315 - 6.25 x 315 = $189

Hope that helps!

Answer:

ik gonna let u solve this question but I explained what u need to do to solve it

Answer:

A) is the answer

Step-by-step explanation:

9.6

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer:

LSA = (a+b+c)×h

Step-by-step explanation:

The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)

Let us assume that three side of triangle are a, b, c and height of prism is h

Then lateral surface area of the prism can be LSA = (a+b+c)×h

64 + 64 = 128. 128 is 6/8

128 is 75%

[tex]\frac{75}{100} = \frac{128}{y}[/tex]

y should be 171 or 172

The number of beakers in the lab are 24.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of beakers to test tubes in a lab is 3:8, and there are 64 test tubes.

Let the beakers be 3x and the number of test tubes be 8x

The number of test tubes =8x=64

x=8

So, the number of beakers =3x=24

Therefore, the number of beakers are 24.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ5

Answer:

45

Step-by-step explanation:

Use Pythagoras theorem to solve

Given:

A figure of a circle with radius 8. The central angle of the blue sector is 60 degrees.

To find:

The area of the blue sector.

Solution:

Area of a sector is:

[tex]A=\pi r^2\dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle of the sector in degrees.

Putting [tex]r=8, \theta=60^\circ, \pi=3.14[/tex], we get

[tex]A=(3.14)\cdot (8)^2\cdot \dfrac{60^\circ}{360^\circ}[/tex]

[tex]A=(3.14) \cdot (64)\cdot \dfrac{1}{6}[/tex]

[tex]A=33.49333....[/tex]

Approximate the value to the nearest tenth.

[tex]A\approx 33.5[/tex]

Therefore, the area of the blue sector is about 33.5 sq. units.

Answer:

C.) 12.4

Step-by-step explanation:

The square root of 155 needs to be found.

It's about 12.4498996.

Thinking that your options are supposed to be decimals, the closest rounded answer would be C.

Answer:

Mean = $54.67

Step-by-step explanation:

How to Find the Mean

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

The mean is the same as the average value in a data set.

Mean Formula

The mean x of a data set is the sum of all the data divided by the count n.

mean=x¯¯¯=∑ni=1xin

Solve

Add up all data values to get the sum

$29 + $58 + $15 + $129 + $75 + $22 = $328

Count the number of values in your data set

$29 and $58 and $15 and $129 and $75 and $22 = 6

Divide the sum by the count

328 ÷ 6 = 54.6666666667

Nearest tenth = 54.67

Therefore, the Mean = $54.67