Rewrite each expression by combining like terms. 1.-3x + 4y - 9x

Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?

Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60 Eqn 1

x=2y+9 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51$

Dividing both sides by 3,

$\frac{3y}{3}=\frac{51}{3}\\y=17\\$

Putting y=17 in Eqn 2

$x=2(17)+9\\x=34+9\\x=43$

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

4 years ago

Does anyone know the answer ? :(

weeeeeb [17]

Answer:

If it a khan you can go take a hint and try to find it

5 0

3 years ago

HELP ME PLEASE THANK YOU.

Ilya [14]

Answer:

81 points

Step-by-step explanation:

8/9 = 72 / x

8 goes into 72, 9 times

9 times 9 is 81

I'm sorry if the explanation doesn't make sense. I hope this helps!

4 0

3 years ago

Use foil method (8a - 8)(4a + 1)

BlackZzzverrR [31]

The answer is: " 32a² − 24a − 8 " .
__________________________________________________
Given:
__________________________________________________
(8a − 8)(4a + 1) ; Let us expand this expression using the: "FOIL" method.
___________________________________________________
"FOIL" stands for "First terms, Outer terms, Inner Terms, Last Terms" ;
 in that order.
___________________________________________________
Basically:
_______________________________________________________
(a + b)(c + d) = ac + ad + bc + bd ;

in which the:

First term is: "ac" ;
Outer term is: "ad" ;
I nner term is: "bc" ;
Last term is: "bd " .
__________________________________
So; we have (given):

(8a − 8)(4a + 1) ;
__________________________________________________
Let's take the "First, Outer, Inner, and Last terms" ; as follows:
__________________________________________________
F: (8a)*(4a) = 32a² ;
__________________________________________________
O: (8a)*(1) = 8a ;
__________________________________________________
I : (-8)*(4a) = -32a ;
__________________________________________________
L: (-8)*(1) = -8
__________________________________________________
Now, let us write out these terms:
__________________________________________________
32a² + 8a − 32a - 8 ;
__________________________________________________
Now, combine the "like terms" in this expression; to simplify:

 + 8a − 32a = -24a ;
__________________________________________________
and rewrite the simplified expression ; which is:
__________________________________________________
 32a² − 24a − 8 .
______________________________________________________

6 0

3 years ago

I require some math assistance please.

mrs_skeptik [129]

Answer:

Option C.

Step-by-step explanation:

By definition, a function f(x) is even if $f(-x) =f(x)$