Solve for x (image below)

Answer:

A

Step-by-step explanation:

12.7 meters divided by 3.6 seconds is 3.527 round it up and it stays 3.5 m/s

The average speed of the cart is: 3.5 m/s

The correct option is (A).

The average speed is the total distance traveled by the object in a particular time interval.

Given:

distance = 12.7m, time= 3.6 seconds

Average speed will be,

= Distance/time

=12.7/3.6

=3.522 m/s

Hence, the average speed is 3.522 m/s.

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ2

Answer:

12 + 20d

Step-by-step explanation:

OG fare = 12

Ticket price =d

20 Tickets =20d

Answer:

39

Step-by-step explanation:

If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted

Answer: The answer is 39

Step-by-step explanation: -21+60=49

hope you like it :)

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer:

[tex]\Huge \boxed{8x^2 +5y+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]1+x^2-3+2y+7x^2+3+3y[/tex]

Grouping like terms.

[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]

[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]

Combining like terms.

[tex]8x^2 +5y+1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

4x - 2

Step-by-step explanation:

Perimeter of triangle

[tex] =( 2x - 5) + (3x - 2) +( 5 - x) \\ = 2x + 3x - x - 5 - 2 + 5 \\ = 5x - x - 2 \\ = 4x - 2[/tex]

Answer:

1

Step-by-step explanation:

1

Answer and Step-by-step explanation:

Differences:

Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1.  Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.

Similarities:

The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements.  If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.

Answer:

12.

Step-by-step explanation:

3x = 0.5x + 30

2.5x = 30

x = 30 / 2.5

x = 12

Density = Mass / Volume, so you could use that information to solve for each value in the graph.

2. Mass = Density * Volume = 8.07 * 1.04 = 8.59 g

3. Volume = Mass / Density = 8.26 / 8.10 = 1.02 mL

4. Density = Mass / Volume = 7.91 / 0.99 = 7.99 g/mL

5. Mass = Density * Volume = 8.05 * 0.98 = 7.89 g

6. Volume = Mass / Density = 8.53 / 8.05 = 1.06 mL

Answer:

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

Answer:

The answer is 206.8. But you want me to round to the nearest cent so the real answer is $207.00

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Total Question no. 5

Three must be answer correctly so 3/5 to pass

  and 2/5 to fail  

So 1/5 because to pass the test he can answer it  correctly only one time

Answer:

(gOh)(x) on edg 2020

Step-by-step explanation:

Answer:

Area of square= d²/2

= 4²/2

= 16/2

= 8cm²

Step-by-step explanation:

A=

[tex]a {?}^{2} [/tex]

d=

[tex] \sqrt{2a} [/tex]

we can find A.USE THIS FORMULA

A =1/2 d squared

so 1/2×4 squared=8

8 is the answer

Answer:

Step-by-step explanation:

Hello,

You can list the following ones which are correct for a), b) and c)

[tex]\boxed{\sf \bf \ \ 1, \dfrac{1}{2}, \dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5} \ \ }[/tex]

Thanks

Answer:

See below.

Step-by-step explanation:

The range of a graph is the span of y-coordinates the graph covers.

From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.

Therefore, the range is all of the numbers in between them including them.

In interval notation, this is:

[tex][-8,7][/tex]

We use brackets instead of parentheses because we include the numbers.

And in set notation, this is:

[tex]\{y|-8\leq y\leq 7\}[/tex]

Answer:

Hey there!

The range is the possible y values.

Thus, we see here that the range is all numbers from -8 to 7.

Let me know if this helps :)

Answer:

Negetive

Step-by-step explanation:

It helps to re-write.

-6 + -6 is the same as -6 -6

-6 + -6 = - 12

It would be different if these were multiplied together, but AS WRITTEN, they are subtracted. If it was (-6)(-6) or -6(-6) that would indicate multiplication as well.

The answer is negative.

Answer: 50%

Step-by-step explanation:

10/20×100=50%

Answer:

50

Step-by-step explanation:

Step-by-step explanation:

may be those can be QT and QN

Step-by-step explanation:

tn=n(n+1)(2n+1)

t23=23(23+1)(2*23+1)

t23=36754

Answer:

The 23rd term is 2806.

Step-by-step explanation:

The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.

Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.

Sum of n terms = (n/2)[2a1  + d(n - 1)]

So the sum of 23 terms =

= 23/2 (2*12 + 10 * 22)

= 11.5 * 244

= 2806.

Answer:

[tex]248 + 18\sqrt{15}[/tex]

Step-by-step explanation:

[tex](9\sqrt{3}+\sqrt{5} )(9\sqrt{3}+\sqrt{5} )=(9\sqrt{3}+\sqrt{5} )^2[/tex]

[tex]81 \cdot 3 + 2\cdot 9\sqrt{3} \cdot \sqrt{5} + 5[/tex]

[tex]243 + 18\sqrt{15} + 5[/tex]

[tex]248 + 18\sqrt{15}[/tex]

Answer:

4 hours .  

Step-by-step explanation:

4x8.50=34

34 + 16=50

Answer:

He worked 4 hours i think

Step-by-step explanation:

Take 50 and subtract his tips ($16)

then divide your answer by how much he makes an hour ($8.50)

Answer:

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

Step-by-step explanation:

A The graph shows a function because it has an x-intercept and a y-intercept.

- Incorrect as functions are not x- and y- intercept only

B The graph does not show a function because the range of the graph is not all real numbers.

- Incorrect as the range is all real numbers

C The graph shows a function because each element of the domain is assigned to exactly one element of the range.

- Correct, this is the definition of a function

D The graph does not show a function because many elements of the domain are assigned to the same element of the range.

- Incorrect as per previous statement

Answer:  see proof below

Step-by-step explanation:

Use the following Sum/Difference Identities:

sin(A + B) = sin A · cos B + sin B · cos A

sin(A - B) = sin A · cos B - sin B · cos A

Use the following Half-Angle Identities:

[tex]\sin\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1-\cos \theta}}{\sqrt2}\\\\\\\cos\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1+\cos \theta}}{\sqrt2}[/tex]

[tex]\text{Use the Unit circle to evaluate:}\ \cos\dfrac{\pi}{4} = \sin\dfrac{\pi}{4} = \dfrac{\sqrt2}{2}[/tex]

Use the following side work:

[tex]\sin\bigg(\dfrac{\pi}{8}\bigg)=\sin\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1-\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2-\sqrt2}}{2}\\\\\\\cos\bigg(\dfrac{\pi}{8}\bigg)=\cos\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1+\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2+\sqrt2}}{2}[/tex]

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \qquad \sin^2\bigg(\dfrac{\pi}{8}+\dfrac{A}{2}\bigg)-\sin^2\bigg(\dfrac{\pi}{8}-\dfrac{A}{2}\bigg)\\\\\text{Sum/Difference Identity:}\qquad \bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}+\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\\\\.\qquad \qquad \qquad\qquad \qquad \quad -\bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}-\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2[/tex]

[tex]\text{Expand and Simplify:}\qquad \quad 4\sin \dfrac{\pi}{8}\cdot \cos\dfrac{A}{2}\cdot \sin \dfrac{A}{2}\cdot \cos \dfrac{A}{2}\\\\\\\text{Substitute:}\qquad \qquad \qquad 4\bigg(\dfrac{\sqrt{2-\sqrt2}}{2}\bigg)\cdot \cos \dfrac{A}{2}\cdot \sin \dfrac{A}{2}\bigg(\dfrac{\sqrt{2+\sqrt2}}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \sqrt2\cos \bigg(\dfrac{A}{2}\bigg)\cdot \sin \bigg(\dfrac{A}{2}\bigg)[/tex]

[tex]\text{Half-Angle Identity:} \quad \sqrt2\bigg(\dfrac{\sqrt{1+\cos A}}{\sqrt2}\bigg)\bigg(\dfrac{\sqrt{1-\cos A}}{\sqrt2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \dfrac{\sqrt{1-\cos^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sqrt{\sin^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sin A}{\sqrt2}[/tex]

[tex]\text{LHS = RHS:}\quad \dfrac{\sin A}{\sqrt2} = \dfrac{\sin A}{\sqrt2}\quad \checkmark[/tex]

Answer:

Step-by-step explanation:

Given from the problem statement

Melissa has made 20 zebra-printed hats

and Rachel has made h amount of striped hats

and also the total amounts of hats made by both of them is 42 hats

We can write a simple equation for the scenario as

[tex]42= 20 +h[/tex]

We can solve the equation to know the amount of hats made by  Rachel

[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]

Hence Rachel has made 22 hats

Answer:

3 hours

Step-by-step explanation:

he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours

Answer:

Probability of pulling a blue marble is 1/3 about 33% chance

Probability of pulling a red marble is 1/2 = 50% chance

Step-by-step explanation:

Total marbles = 6+2+4 = 12

4 of those 12 are blue

4/12=1/3 when reduced

________________________

Total marbles are still = 12

6 of the 12 are red

6/12=1/2 when reduced

Hope this helps! :)