A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

3 * x = mural mast height = 3 * 10 feet = 30 feet

4 0

2 years ago

What is the factored form of c^2=5c

mestny [16]

$c^2=5x\\
c^2-5c=0\\
c(c-5)=0
$

4 0

3 years ago

Factor this expression completely and then place the factors in the proper location on the grid. Note:

Eddi Din [679]

First we are going to group the terms that contains the common factor $m$ in one parenthesis, and the other ones in another parenthesis:
$mn-4m-5n+20$
$(mn-4m)-(5n+20)$
Notice that our the terms in our first parenthesis have a common factor $m$ , and the terms in our second one have the common factor $5$ . Lets factor those out:
$m(n-4)-5(n-4)$
Now we have a common factor $(n-4)$ in both terms, so we can factor those out as well:
$(n-4)(m-5)$

We can conclude that the completely factored expression ordered alphabetically is $(m-5)(n-4)$ .

6 0

3 years ago

there are 76 students in chorus. the number of girls in the chorus is 12 more than triple the number of boys.

lora16 [44]

Girls= 12+3b
boys=b

boys+girls=76

12+3b+b=76;
12+4b=76
-12 -12
4b=64
÷4. ÷4

b=16

I hopes this help!

4 0

3 years ago