From Mississippi Solo Book:

algol [13]

The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...

3h + 18 + 15h = 180

Combine like terms

18h + 18 = 180

Subtract 18 to both sides

18h + (18 -18) = 180 - 18

18h = 162

Isolate h by dividing 18 to both sides

18h/18 = 162 /18

h = 9

Hope this helped!

8 0

3 years ago

Read 2 more answers

I bought 6 packs of gummy bears. There were 25 gummy bears in each bag and 20% were yellow. Another 10% were white. How many mor

Vinvika [58]

Answer:

15 (I think)

Step-by-step explanation

6 x 25 = 150

20% of 150 = 30

10% of 150 = 15

30 - 15 = 15

<em>Sorry if this is wrong.</em>

<em>Bye, have a great day/night.</em>

3 0

2 years ago

Read 2 more answers

Please help me solve these :) <br> I will give Brainlst:)

PolarNik [594]

Answer:3 is nonlinear ,1 is function ,domain is the input and the range is the output, mx is the slope and the b is the y intercept

Step-by-step explanation:

3 0

3 years ago

Tiffany has $54. She is shopping for umbrellas that cost $12 each. She writes the following equation to model the situation. Pla

neonofarm [45]

Answer:

4 umbrellas

Step-by-step explanation:

Number of Umbrellas Total Money

1 $12

2 $24

3 $36

4 $48

She can't go over $48 because $48 + $12 is $60, which is more than she has ($54). So the max amount of umbrellas she can buy is 4.

3 0

3 years ago

Anja simplified the expression StartFraction 10 x Superscript negative 5 Baseline Over Negative 5 x Superscript 10 Baseline EndF

Gwar [14]

The mistake that Anja made during the simplification of the considered expression is given by: Option C: She subtracted the coefficients instead of dividing them

<h3>What are coefficients?</h3>

Constants who are in multiplication with variables are called coefficients of those variables.

For example, in $10x^2$ we have 10 as coefficient of $x^2$

Those variables who have got no visible coefficient has 1 as their coefficient. Thus, $x^2$ has got its coefficient as 1. It is true since 1 multiplied with any number is that number itself.( $x^2 = 1 \times x^2$ )

<h3>What are some basic properties of exponentiation?</h3>

If we have $a^b$ then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c$

For the considered situation, the expression that Anja is simplifying is:
$\dfrac{10x^{-5}}{-5x^{10}}$

Anja simplified it to $\dfrac{15}{x^{15}}$

She performed operations with variable 'x' correctly since

$\dfrac{x^{-5}}{x^{10}} = \dfrac{1}{x^5} \times \dfrac{1}{x^{10}} = \dfrac{1}{x^{15}}$

But coefficients will also get divided. Instead of dividing 10 by -5, she subtracted them (as 10 - (-5) = 10 + 5 = 15)

This was her mistake.

The correct simplification would be: $\dfrac{10x^{-5}}{-5x^{10}} = \dfrac{10}{-5} \times \dfrac{x^{-5}}{x^{10}} = -2 \times \dfrac{1}{x^{15}} = \dfrac{-2}{x^{15}} = -2x^{-15}$

Thus, the mistake that Anja made during the simplification of the considered expression is given by: Option C: She subtracted the coefficients instead of dividing them

Learn more about exponent and bases here:

brainly.com/question/847241

4 0

2 years ago