Ten students share 8 pieces of poster board equally. What fraction of a piece of poster board does each student get?

A line has a zero slope and passes through the point (4,-9). What is the equation of the line?

Ugo [173]

keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.

5 0

1 year ago

Ming spent half of her weekly allowance buying pizza. To earn more money her parents let her clean the oven for $6. What is her

Gelneren [198K]

Answer:

$16

Step-by-step explanation:

she has $14 now

her parents let her earn 6

so $14 - $6 = $8

so thats what was left over from her allowance. she spent half of her allowance to get to $8 so you double the money

$8 * 2 = $16

$16 is her weekly allowance

7 0

2 years ago

Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}

Oksanka [162]

⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

Base
Exponent
equal factors
power

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\$

<em>Multiply </em>the power at denominator of the fraction:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\$

<em>Multiply </em>the numerator numbers together:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=$

$\large \sf \dfrac{-16\cdot16\cdot 256 }{16}=$

$\large \sf \dfrac{-256\cdot 256 }{16}=$

$\large \sf \dfrac{- 65536 }{16}=\\\\$

Simplify the fraction by number 16:

$\\\large \sf \dfrac{- 65536 }{16}=$

$\large \sf \dfrac{- 65536 \div16}{16\div16}=$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}} \\\\\\$

So this expression in its simplified form = -4096/1 or -4096.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}}\\\\$

★ Hope this helps! ❤️

6 0

2 years ago

What are the measures of Angles a, b, and c? Show your work and explain your answers.

jolli1 [7]

Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)

5 0

2 years ago

Thomas deposited $1500 into a savings account. He is earning 6% Interest compounded quarterly. How much money will Thomas have i

gavmur [86]

Answer:

Rs. 1186 is the required answer.

Step by step answer:

Given:

Principle (P)=$1500

Rate of Interest (R)= 6%

Time period (T)=10 years

Compound Interest (CI)=P((1+6/100)^T-1)

=1500((1+6/100)^10-1)

= Rs. 1186 (approximately)

4 0

2 years ago

Ten students share 8 pieces of poster board equally. What fraction of a piece of poster board does each student get?​

Ten students share 8 pieces of poster board equally. What fraction of a piece of poster board does each student get?