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3 years ago

Simplify (10 + 48) ÷ 2 =

Mathematics

1 answer:

Nuetrik [128]3 years ago

5 0

10+48 = 58 / 2 = 29.

hope it helps!!!!!!1

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Given that p=x^2-y^2/x^2+xy

Nataly [62]

Answer:

p = - $\frac{1}{2}$

Step-by-step explanation:

Given

p = $\frac{x^2-y^2}{x^2+xy}$ ( factorise numerator and denominator )

x² - y² ← is a difference of squares and factors as (x - y)(x + y)

x² + xy ← factor out x from each term

= x(x + y) , thus

p = $\frac{(x-y)(x+y)}{x(x+y)}$ ← cancel (x + y) on numerator/ denominator

= $\frac{x-y}{x}$ ← substitute x = - 4, y = - 6

= $\frac{-4-(-6)}{-4}$

= $\frac{-4+6}{-4}$

= $\frac{2}{-4}$ = - $\frac{1}{2}$

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3 years ago

60° 4V3 Find the missing side

Vinvika [58]

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4 years ago

Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39

m_a_m_a [10]

$15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479$

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3 years ago

You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.

Sonja [21]

Answer:

1. $1.2

2. $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

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3 years ago

What is the surface area of the prism A. 812 B. 1,190 C. 2,352 D. 132

seropon [69]

Answer:

B. 1,190 square cm

Step-by-step explanation:

For given prism:

l = 16 cm, w = 7 cm, h = 21 cm

Surface area of of the prism

$= 2 (lw + wh + hl) \\ = 2(16 \times 7 + 7 \times 21 + 21 \times 16) \\ = 2(112 + 147 + 336) \\ = 2 \times 595 \\ = 1190 \: {cm}^{2} \\$

4 0

3 years ago