1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lara31 [8.8K]
3 years ago
6

Need help please our math teacher didn’t have enough time to give us the notes to learn this so I am confused

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answers with step-by-step explanation:

1. (7x + x) + 7x

= 7x + 7x + x

= 14x + x

= 15x

2. 5 * (4 * x)

= 5*4x

= 20x

3. 15y + (x + 9y)

= 15y + 9y + x

= 24y + x

4. (6x + 21) + 14

= 6x + 21 + 14

= 6x + 35

5. 3x + 2 + 11x

= 11x+ 3x + 2

= 14x + 2

6. (x + 13y) + 8y

= 13y + 8y + x

= 21y + x

7. (12y + 2x) + 4y

= 12y + 4y + 2x

= 16y + 2x

8. 8 (x4)

= 32x

9. 3 (5x)

= 15x

10. 3x + (7x + 10)

= 3x + 7x + 10

= 21x + 10

11. 5x + (2 + x)

= 6x + 2

12. 4 * x * 10

= 4 * 10 *x

= 40x

13. (x * 12) * 3

= 36x

14. 14x + 9y + 6x

= 20x + 9y

15. 5x + (24 + 14x)

= 19x + 24

You might be interested in
Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.
GarryVolchara [31]

Answer:

a_{n} = 32(\frac{1}{4})^{n-1}

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

a_{n+1} = ra_{n}

In which r is the common ratio.

This can be expanded for the nth term in the following way:

a_{n} = a_{1}r^{n-1}

In which a_{1} is the first term.

This means that for example:

a_{3} = a_{1}r^{3-1}

So

a_{3} = a_{1}r^{2}

2 = a_{1}(\frac{1}{4})^{2}

2 = \frac{a_{1}}{16}

a_{1} = 32

Then

a_{n} = 32(\frac{1}{4})^{n-1}

4 0
3 years ago
Jenna’s car can travel 15 miles on 300 gallons of gas. How far can it travel on 18 gallons of gas?
Allisa [31]

Answer:

the answer is 36 gallon

Step-by-step explanation:

6 0
2 years ago
let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)
statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

\sin (\theta)=\frac{3}{5}

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

x^2+3^2=5^2

Solving for x, we have

\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

\tan (y)=\frac{12}{5}

Describes the following triangle

Using the Pythagorean Theorem again, we have

5^2+12^2=h^2

Solving for h, we have

\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}

To calculate the sine and cosine of the sum

\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}

We can use the following identities

\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}

Using those identities in our problem, we're going to have

\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}

4 0
1 year ago
Nicky has 5 cookies and bill has 4 cookies how much do they have all together
Vsevolod [243]
9 cookies

5 plus 4 is 9
7 0
2 years ago
Read 2 more answers
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Wh
viktelen [127]

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by 4/3 \pi r^3

surface area of sphere is given by 4 \pi r^2

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3

Thus, radius of sphere is 3 units.

5 0
2 years ago
Other questions:
  • I need help click for the screenshot
    7·2 answers
  • A sign at the store shows that nine shirts cost $72. Another sign shows that four pairs of pants cost $172. If each pair of pant
    12·1 answer
  • Which sequence of rigid transformations will map the preimage ABC onto image A'B'C' ?
    14·1 answer
  • If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
    5·1 answer
  • 3(-4y+5)-8(-2y-4) can be written in the form (ay+b) by following the following steps:
    9·2 answers
  • Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer
    14·1 answer
  • Trey recorded the number of ounces of water he drank each day in the histogram below. Which of the following would be the best m
    8·2 answers
  • The net price of a hand phone after allowing trade discount of 20% was RM2,000. Find what is the list price of the hand phone.​
    10·1 answer
  • What is the maximum or minimum value? f(x) = -(x - 8) ^ 2 - 25
    15·1 answer
  • Which value of "b" will make the trinomial 4x^2 + bx + 36 a perfect square trinomial? 0 24 O 6 O 12 O 4​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!