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
Goryan [66]
1 year ago
15

T+b = 41 t = 2b+2 Solve for t and b

Mathematics
1 answer:
erastovalidia [21]1 year ago
3 0

Answer: b=13, t=29

Step-by-step explanation:

Substituting the first equation into the second,

2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29

You might be interested in
Find the total area of the four walls of a room 12 m long, 10 m wide and 4 m high.
Radda [10]

Answer:

<h2>416m^2</h2>

Step-by-step explanation:

<h3>Area = Length * Width</h3><h3>Volume = Length * Width * Height</h3>

<h3>As we all can see,from the question we were given the parameters for calculating volume instead of the ones for calculating "area"</h3>

<h3>But from the the parameters, we can calculate for the total surface area</h3>

<h3>Floor = 12m ×10m = 120m^2</h3>

<h3>Roof = 12m × 10m = 120m^2</h3>

<h3>Front and back walls (x2) = 10m × 4m ×2 = 80m^2</h3>

<h3>Side walls (x2) = 12m × 4m × 2 = 96m^2</h3><h3>Total surface area</h3>

<h3>= 120m^2 + 120m^2 + 80m^2 + 96m^2</h3>

<h3>= 416 m^2</h3>
8 0
1 year ago
Drina wrote the system of linear equations below.
zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

3x-2y=-2\hfill(1)

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0
3 years ago
Read 2 more answers
What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer
Alika [10]

Answer:

12

Step-by-step explanation:

Given: Diagonal of square= 3\sqrt{2}

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; Diagonal= s\sqrt{2}

Where, s is side of square.

⇒ 3\sqrt{2} = s\sqrt{2}

Dividing both side by √2

⇒s= \frac{3\sqrt{2} }{\sqrt{2} }

∴s= 3

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; Perimeter= 4s

⇒Perimeter= 4\times 3

∴ Perimeter= 12

Hence, Perimeter of square is 12.

6 0
3 years ago
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th
Katarina [22]

Answer:

D

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

⇒ r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}

⇒ r = 6.5

Now we calculate the area;

⇒ A = \pi r^{2}

⇒ A = \pi (6.5)^{2}

⇒ A = \frac{169}{4}\pi

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ Percentage = \frac{42.25\pi }{200} * 100

⇒ Percentage = 66 (2sf)

5 0
2 years ago
Suppose you just received a shipment of twelve televisions. Two of the televisions are defective. If two televisions are randoml
Montano1993 [528]
P(both work) = ((10-3)/10)*((10-3-1)/9) = (7/10)*(6/9) = 42/90

<span>P(at least one does not work) = 1 - P(both work) = 1 - 42/90 = 48/90 = 24/45.</span>
7 0
3 years ago
Other questions:
  • Please help!! Been trying for so long the way my teacher taught it, but cannot get right answer.
    15·1 answer
  • Find the y-intercept of the following equation. Simplify your answer. 4x + y = 7
    5·2 answers
  • (-4.25)0 to the power
    14·1 answer
  • Solve the equation of e^x-2=(1/e^6)^x+3.
    12·1 answer
  • Pls help asapComplete the table using the function n = 9b + 19.
    10·1 answer
  • Find how much was invested
    6·1 answer
  • If L = 1/2(P - 2W), solve for p in terms of L and W (Show your work.) helpp im stuckk
    10·2 answers
  • Solve x + x + 2 + 2x = -2. 1 -1 0 -2
    12·2 answers
  • Determine the number of grams of HCl that can react with 0.750 g of Al(OH)3
    15·1 answer
  • 8x = 72 Is this nine?? ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!