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2 years ago

What is the value of x in 0.8x = 7.2

Mathematics

2 answers:

Gelneren [198K]2 years ago

5 0

Answer:

Step-by-step explanation:

7.2 ÷ 0.8 = 9

x = 9

Ann [662]2 years ago

4 0

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

0.8x = 7.2

Step 2: Solve for x

Divide both sides by 0.8: x = 9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 0.8(9) = 7.2
Multiply: 7.2 = 7.2

7.2 does indeed equal 7.2. ∴ x = 9 is a solution.

And we have our final answer!

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Find the measures of the requested angles.

Alex777 [14]

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)

3 0

2 years ago

What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago

8. Box A contains two yellow counters and one white counter

alexira [117]

Answer:

6/15

Step-by-step explanation:

draw a tree diagram.

the only path with no white is highlighted

multiply them

2/3 x 3/5 = 6/15

4 0

2 years ago

Which expression can be used to find the quotient of 15 and 1/3?

Naya [18.7K]

Answer:

D

Step-by-step explanation:

Quotient means that it is a division equation.

Hope this helps!

5 0

3 years ago

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Is 6 (7) + 2 (3²) = 60?

sertanlavr [38]

Answer:

yes 6 (7) + 2 (3²) = 60

Step-by-step explanation:

60 = 60

3 0

2 years ago

Read 2 more answers