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3 years ago

Write the decimal as a percent. 0.487 = ??

Mathematics

2 answers:

pishuonlain [190]3 years ago

8 0

Answer:

48.7%

Step-by-step explanation:

OleMash [197]3 years ago

7 0

Step-by-step explanation:

To convert a decimal to a percentage,

multiply it by 100%.

=> Decimal = 0.487

=> Percentage = 0.487 * 100% = 48.7%

The answer is 48.7%.

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Peter won £45 as a price. He gave 4/5 of the money to Roger and Bethan. Rogers and Bethan shared the money in the ration 2:3. Wo

Aleksandr-060686 [28]

45
36 to R AND B
36/5=7.2
7.2x2=14.4 for Roger
7.2x3=21.6 for Bethan

6 0

3 years ago

In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini

svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

$x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2$

The augmented matrix is

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

The reduction of this matrix to row-echelon form is outlined below.

$R_2\rightarrow R_2-R_1$

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

$R_3\rightarrow R_3-2R_1$

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

$R_3\rightarrow R_3-R_2$

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

The last row determines, if there are solutions or not. To be consistent, we must have k such that

$k^2-k-2=0$

$\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2$

Case k = −1:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]$

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]$

This gives the infinite many solution.

5 0

3 years ago

What are like terms? How do you combine them? Can you give an example?

yan [13]

Like terms are when numbers with and without variables can be combined. ex: 4x+6-8x+=32
you would first combine 4x and -8x because they are the same.

6 0

3 years ago

Read 2 more answers

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = $\frac{1}{2}(\pi r^2h)$

= $(\frac{1}{2})(\pi )(17-11)^2(6)$

= 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

= 11 × 6 × 12

= 792 cubic inches

Volume of the solid figure = 339.29 + 792

= 1131.29

≈ 1131 cubic inches

8 0

3 years ago

15-8x Choose ALL of the statements that are TRUE. The factors are 8 and x. The coefficient is -8. The constant is -8. The terms

baherus [9]

<h3>3 Answers:</h3>

Coefficient is -8
Terms are 15 and -8x
Constant is 15

Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

5 0

3 years ago

Read 2 more answers