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salantis [7]
3 years ago
8

Branliest I guess just answer first person gets it? Also free points?

Mathematics
2 answers:
algol [13]3 years ago
8 0

Answer:

thank you hhh for points

xz_007 [3.2K]3 years ago
4 0

I don't understand???

Im confused??

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Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
3 years ago
Use suitable identities to find the following products (x+4)(x+10)​
Anestetic [448]

Answer:

x^2 + 14x + 40

Step-by-step explanation:

Here we gonna use the identity -

(x+a)(x+b) = x^2+(a+b)x + ab

So  using the identity here,

(x+4)(x+10) \\=> x^2 +(4+10)x+4*10\\=>x^2+14x+40

6 0
3 years ago
Read 2 more answers
Factor each expression.<br> 17. 5x -25
aleksandr82 [10.1K]
Answer:

~ 5(x-5)

Explanation:

~ Always find GCF to factorize a number, here it’s 5

~ Now inside the bracket the x stays the same but 25 divided by 5=5

~ Now we have 5(x-5)
7 0
3 years ago
Rory is driving 584 miles to a family reunion. She will drive 300 miles by her self the first day.The second day, Rory and her c
gogolik [260]

Answer:

Total distance Rory drive = 300 +142 = 442 miles

and total distance her  cousin drive = 142 miles.

Step-by-step explanation:

Total distance traveled by Rory and her cousins = 584 miles

Distance drive by Rory herself first day = 300 miles

Distance left to travel = total distance - distance drive by Rory

                                     = ( 584-300 ) miles

                                     = 284 miles.

According to the question, The second day, Rory and her cousin will share driving equally.

Let the distance traveled by cousin is S miles, then, Rory also drive S miles.

⇒  S + S = 284

⇒ 2S = 284

⇒ S = 142

So they will divide the remaining distance of 284 miles among them equally that is they both drive 142 miles.

Total distance Rory drive = 300 +142 = 442 miles

and total distance her  cousin drive = 142 miles.





5 0
3 years ago
Suppose S is a recursively defined set, defined by - the number 1 is in S - if n is in S, then so is 3n + 2 - if n is in S, then
Tatiana [17]

Answer:

See answer below

Step-by-step explanation:

Using structural induction, we would have to prove that 1 and all the numbers derived from this fact, have the property.

That is to say, we would have to prove that

1, 3*1+2, 5*1-1 and 1+7 = {1, 4, 5, 8} have the property we want to prove S has.

8 0
3 years ago
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