All categories

3 years ago

A. Write the ratio and express in simplest or lowest terms.

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Step-by-step explanation:

a 8:10

= 8/10

= 4/5

b. 1 hr = 60 min

= 40: 60

= 40/60

= 2/3

d 1 dozen = 12 things

2 dozen = 24 things

= 24: 18

= 12/18

= 2/3

You might be interested in

AT THE AIRPORT , THERE ARE A TOTAL OF 1,160 SEATS IN THE WAITING AREA. THERE 8 SEPARATE, SAME SIZE WAITING AREA. HOW MANY SEATS

anastassius [24]

Answer:

9280?

Step-by-step explanation:

Just multiply 1160 x 8

3 0

3 years ago

For what real values of $c$ is $x^2 - 8x + c$ the square of a binomial?

nikklg [1K]

Value of c is 16 for which equation $f(x) = x^2-8x+c$ is a square of binomial !

Step-by-step explanation:

Here we meed to find the value of c for which equation f(x) = x^2-8x+c or , $f(x) = x^2-8x+c$ is a square of a binomial . Let's find out:

We know that

⇒ $(x-a)^2 = x^2-2(a)(x)+a^2$ ..........(1)

Let's simplify given equation in question

⇒ $f(x) = x^2-8x+c$

⇒ $f(x) = x^2-2(4)x+c$

Comparing this equation with (1) we get :

$a=4 , c=a^2$

⇒ $c=a^2$

⇒ $c=4^2$

⇒ $c=16$

Therefore , Value of c is 16 for which equation $f(x) = x^2-8x+c$ is a square of binomial !

5 0

3 years ago

Explain how you could use the distributive property and mental math to find. 5 x 198

antiseptic1488 [7]

Not much of an expert... Pretty sure it's something like this...

(5x100) + (5x90) + (5x8)

Then you solve the brackets...

500 + 450 +40

Then you add it all together...

=990

4 0

4 years ago

Read 2 more answers

Jill and Tom ate standing together in a park. Jill walks 25 feet north and Tom walks 45 feet west from the same spot. What is th

yulyashka [42]

Answer: jill and tom are 20ft

8 0

3 years ago

Read 2 more answers

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago