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3 years ago

Help please I don’t understand this at all & been stuck here for a hour

Mathematics

1 answer:

ELEN [110]3 years ago

4 0

Answer:

Step-by-step explanation:

4b + 8 = 20

Subtract 8 from both sides

4b + 8 - 8 = 20 - 8

4b = 12

Now divide both sides by 4

4b/4 = 12/4

b = 3

Check:

LHS = 4b + 8

= 4*3 + 8

= 12 + 8

= 20 = RHS

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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Aleksandr-060686 [28]

Answer:

$\sqrt{113}$ = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

113 = x^2 find the root for both sides

$\sqrt{113}$ = x

8 0

2 years ago

A) How many ways can 2 integers from 1,2,...,100 be selected

Anna007 [38]

Answer with explanation:

→Number of Integers from 1 to 100

=100(50 Odd +50 Even)

→50 Even =2,4,6,8,10,12,14,16,...............................100

→50 Odd=1,3,,5,7,9,..................................99.

→Sum of Two even integers is even.

→Sum of two odd Integers is odd.

→Sum of an Odd and even Integer is Odd.

(a)

Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,

=Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,

$=_{2}^{50}\textrm{C}+_{2}^{50}\textrm{C}\\\\=\frac{50!}{(50-2)!(2!)}+\frac{50!}{(50-2)!(2!)}\\\\=\frac{50!}{48!\times 2!}+\frac{50!}{48!\times 2!}\\\\=\frac{50 \times 49}{2}+\frac{50 \times 49}{2}\\\\=1225+1225\\\\=2450$

=4900 ways

(b)

Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,

=Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,

$=_{1}^{50}\textrm{C}\times _{1}^{50}\textrm{C}\\\\=\frac{50!}{(50-1)!(1!)} \times \frac{50!}{(50-1)!(1!)}\\\\=\frac{50!}{49!\times 1!}\times \frac{50!}{49!\times 1!}\\\\=50\times 50\\\\=2500$

=2500 ways

7 0

3 years ago

A.) write an equation in slope intercept form for the total cost of any number of tickets at 7 tickets for $5.

MrMuchimi

Slope intercept form is y = mx + b

7 tickets for $5 means that 1 ticket costs 5/7 dollars

So for part a, the slope intercept form would be:

$y = \frac{5}{7}x$

where x is the number of tickets, and y is the price.

For part b)

The slope intercept form is:
$y = 25x$

where x is the number of all you can ride wristbands you buy, and y is the total price.

7 0

3 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$