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Tresset [83]
3 years ago
7

Select all the expressions that are equivalent to 5x + 30x - 15x

Mathematics
1 answer:
Andrej [43]3 years ago
7 0

Step-by-step explanation:

5(x+6x-3x)

(5+30-15)x

if you open the brackets, it will be 5x+30x-15x

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A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 6 pounds of jelly beans the total cost is $
inna [77]

The cost for each pound of trail mix and each pound of jelly is given below.

Step-by-step explanation:

Let t = cost/pound of trail mix

Let j = cost/pound of jelly beans

5t + 6j = 35

3t + 2j = 15  =  > 2j = 15 - 3t

5t + 3(15 - 3t) = 35

5t + 45 - 9t = 35

- 4t + 45 = 35

- 4t  =  - 10

4t = 10

t = 2.5

3(2.5) + 2j = 15

7.5 + 2j = 15

2j = 7.5

j = 3.75

7 0
3 years ago
Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5
abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

6 0
3 years ago
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.
goldfiish [28.3K]

Answer:

B is the correct answer

Kevin is K

Daniel is D

Now: K

K = D + 3

3 years ago:

K - 2 = 4(d - 2)

<h2>YOURE WELCOME, PLEASE MARK AS BRAINLIEST AND FOLLOW ME ❤️❤️</h2>

6 0
4 years ago
Read 2 more answers
What fraction is equal to 50% of 1/3
Dima020 [189]

Answer:

1/6

Step-by-step explanation:

50% is 0.5 or 1/2 so you just multiply 1/3 by 1/2 to get 1/6

8 0
3 years ago
Read 2 more answers
This is (compound) probability: Picking two numbers from 1-10 and getting a multiple of 3 both times.
NemiM [27]

Answer:

There are 10 counters in the bag and you want the 4

As their is only one for the probability is

1/10

There are now 9 counters left in the bag.

You only want the even ones , which are 2 6 8 and 10 ( four has been taken out)

There are only four even counters in the bag of nine counters so the probability is

4/9

As you want both of these to occur, you need to multiply them

1/10 x 4/9 = 49/90

Step-by-step explanation:

7 0
3 years ago
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