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2 years ago

Translate the sentence into an equation.

Mathematics

1 answer:

murzikaleks [220]2 years ago

3 0

Answer:

9 - 5x = 7

Step-by-step explanation:

Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7

9 - 5x = 7

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What is the product of (x-2)(x-6)? *

belka [17]

Answer:

$x^2-4x+12$

Step-by-step explanation:

$(x-2)(x-6)$

$x(x-6)-2(x-6)$

$x^2-6x-2x+12$

$x^2-4x+12$

7 0

3 years ago

Read 2 more answers

Kate bought 3 used CDs and 1 used DVD at the bookstore. Her friend Joel bought 2 used CDs and 2 used DVDs at the same store. If

natka813 [3]

Answer:

Cost of 1 DVD is $6.5

Cost of one CD is $4.5

Combine cost of one DVD and CD is $11

Step-by-step explanation:

Given :

Kate bought 3 used CDs and 1 used DVD at the bookstore.

Her friend Joel bought 2 used CDs and 2 used DVDs at the same store.

Kate spent $20

Joel spent $22

To Find : the cost of a used CD and a used DVD

Solution :

Let cost of 1 used CDs be $x

Let cost of 1 used DVDs be $y

Cost of 3 used CDs = $3x

Cost of 2 used CDs = $2x

Cost of 2 used DVDs = $2y

Kate bought 3 used CDs and 1 used DVD at the bookstore.

She spent $20

So, equation becomes :

⇒ $3x+y=20$ ---(a)

Joel bought 2 used CDs and 2 used DVDs. she spent $22.

So, equation becomes:

⇒ $2x+2y=22$ --(b)

Now solve (a) and (b) to determine the value of x and y

We will use substitution method

Substitute the value of x from (b) in (a)

$3(\frac{22-2y}{2} )+y=20$

$33-3y+y=20$

$33-2y=20$

$33-20=2y$

$13=2y$

$\frac{13}{2} =y$

$6.5 =y$

Thus cost of 1 DVD is $6.5

Now substitute this value of y in b to get value of x

⇒ $2x+2(6.5)=22$

⇒ $2x+13=22$

⇒ $2x=22-13$

⇒ $2x=9$

⇒ $x=\frac{9}{2}$

⇒ $x=4.5$

Thus the cost of one CD is $4.5

Hence the combine cost of one DVD and CD = $6.5+ $4.5=$11

6 0

4 years ago

PLEASE HELP ME WITH THIS QUESTION

valentina_108 [34]

Set 7x-4 and 31 equal to each other
7X-4=31
Add four to both sides
7X=27
X=3
The answer is D

4 0

4 years ago

Read 2 more answers

Ashley was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She t

belka [17]

Well in this problem we just have to work backwards doing everything opposite of what she did in order to get the final answer.
so she has 39 stamps at this moment. and since she bought nine more stamps lets subtract that value to see what she had before that.
1.) 39 - 9 = 30
now she has 30. but she said that before step one she sold half of them to buy that video game. so she divided her starting number by two. so again we are going to work backwards by multiplying the number by 2:)
2.) 30 x 2 = 60!!
3.) So she started out with 60 stamps
answer is 60:)
hope i helped

8 0

4 years ago

2. At a local restaurant, the health inspector visits every 6 days, and the fire inspector visits every 14 days.

olganol [36]

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3 0

3 years ago