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
algol [13]
3 years ago
6

Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o

r 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Mathematics
2 answers:
ella [17]3 years ago
6 0

Sample Response: It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.

Fittoniya [83]3 years ago
4 0
It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x<span>. Adding the </span>x<span>-tiles and then the unit tile, or visa versa, will give the same solution.</span>
You might be interested in
A row of seats in stadium has 10 seats per section and 10 section per row. How many seats are there in 6 row ?
Keith_Richards [23]

Answer:

26 seats

Step-by-step explanation:

10+10=20 +6 =26

4 0
3 years ago
What is the slope of a line perpendicular to the line with equation y = 1/6x – 2? help pls very urgent
valina [46]
Solution:

1) Simplify \frac{1}{6}x to \frac{x}{6}
y=\frac{x}{6}-2

2) Add 2 to both sides
y+2=\frac{x}{6}
​​
3) Multiply both sides by 6
(y+2)\times 6=x

4) Regroup terms
6(y+2)=x

5) Switch sides
x=6(y+2)

Done!
7 0
2 years ago
Please show work for both problems
kirill [66]

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

6 0
3 years ago
2. Deshay borrowed $400 from the bank for 1 year. The bank charges 14% interest
Papessa [141]

Answer:

The bank charged 56 dollars in interest

7 0
3 years ago
Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3
solmaris [256]

Given:

\sin (u)=-\dfrac{7}{25}

\cos (v)=-\dfrac{4}{5}

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

\sin (u)=-\dfrac{7}{25}

\cos (v)=-\dfrac{4}{5}

Now,

\cos (u)=-\sqrt{1-\sin^2 (u)}

\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}

\cos (u)=-\sqrt{1-\dfrac{49}{625}}

\cos (u)=-\sqrt{\dfrac{625-49}{625}}

On further simplification, we get

\cos (u)=-\sqrt{\dfrac{576}{625}}

\cos (u)=-\dfrac{24}{25}

Similarly,

\sin (v)=-\sqrt{1-\cos^2 (v)}

\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}

\sin (v)=-\sqrt{1-\dfrac{16}{25}}

\sin (v)=-\sqrt{\dfrac{25-16}{25}}

\sin (v)=-\sqrt{\dfrac{9}{25}}

\sin (v)=-\dfrac{3}{5}

Now,

\cos (u-v)=\cos u\cos v+\sin u\sin v

\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)

\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}

\cos (u-v)=\dfrac{1 17}{625}

Therefore, the value of cos (u-v) is 0.1872.

6 0
3 years ago
Other questions:
  • In the figure below,S is between Q and T and R is the midpoint of QS. If RS=4 And RT= 12 find QT​
    8·1 answer
  • Identify the variation as direct, inverse, joint or combined.<br> y = 7x
    12·2 answers
  • Hey guys please help with this questoin Find (x+y) ÷ (x-y) if x=5/4 y=-1/3​
    15·1 answer
  • How much interest will jovanny pay on a 60 month auto loan for $45,500 with a compound interest of 13.7 %??
    10·1 answer
  • Pls pls pls pls help
    15·1 answer
  • What is the area? Please I need help ​
    8·2 answers
  • Root of 2x plus 1/3 square
    7·1 answer
  • Determine if the triangle are similarity side-side-side similarity<br>​
    9·1 answer
  • What is the solution to this inequality?<br> 4(2x + 2) + 12 &gt; 100
    12·1 answer
  • Write this equation in slope-intercept form by isolating the y-variable.<br> 12x = 4y
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!