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blondinia [14]
2 years ago
5

Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?

Mathematics
2 answers:
enyata [817]2 years ago
7 0

Step-by-step explanation:

<u>Step 1:  Distribute</u>

2(3x - 1.75) - 3(1.5x - 2.5)

(2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)

(6x) + (-3.5) + (-4.5x) + (7.5)

<u>Step 2:  Combine like terms</u>

(6x - 4.5x) + (7.5 - 3.5)

1.5x + 4

Answer:  1.5x + 4

lara [203]2 years ago
4 0

Answer:

1.5x+4

Step-by-step explanation:

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Please help with this
katrin [286]

Answer:

3rd Option

Step-by-step explanation:

When you find the ratio of the 2 triangles, it is 14/5, so the 2nd option and 4th option are out of the park (The triangles are indeed similar). You are left with options 1 and 3. Option 3 is the best answer as you have to match the vertices of each triangle to each other.

8 0
2 years ago
Find the value of x in each case:
goblinko [34]

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

∠ FEB = 180 - 4x , so

180 - 4x + x = 147, that is

180 - 3x = 147 ( subtract 180 from both sides )

- 3x = - 33 ( divide both sides by - 3 )

x = 11

6 0
2 years ago
Show on a number line 2/3 's?​
Alexxandr [17]
It would be In between 1/2 and 2
6 0
2 years ago
In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it
gavmur [86]

Answer:

a) P(A|B) = \frac{15/83}{44/83} =\frac{15}{44}=0.341

b) P(B|A) = \frac{29/83}{44/83} =\frac{29}{44}=0.659

c)  A. A student given a $1 bill is more likely to have kept the money.

Because the probability 0.659 is atmoslt two times greater than 0.341

Step-by-step explanation:

Assuming the following table:

                                                     Purchased Gum      Kept the Money   Total

Students Given 4 Quarters              25                              14                      39

Students Given $1 Bill                       15                               29                    44

Total                                                   40                              43                     83

a. find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.

For this case let's define the following events

B= "student was given $1 Bill"

A="The student spent the money"

For this case we want this conditional probability:

P(A|B) =\frac{P(A and B)}{P(B)}

We have that P(A)= \frac{40}{83} , P(B)= \frac{44}{83}, P(A and B)= \frac{15}{83}

And if we replace we got:

P(A|B) = \frac{15/83}{44/83} =\frac{15}{44}=0.341

b. find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill.

For this case let's define the following events

B= "student was given $1 Bill"

A="The student kept the money"

For this case we want this conditional probability:

P(A|B) =\frac{P(A and B)}{P(B)}

We have that P(A)= \frac{43}{83} , P(B)= \frac{44}{83}, P(A and B)= \frac{29}{83}

And if we replace we got:

P(B|A) = \frac{29/83}{44/83} =\frac{29}{44}=0.659

c. what do the preceding results suggest?

For this case the best solution is:

A. A student given a $1 bill is more likely to have kept the money.

Because the probability 0.659 is atmoslt two times greater than 0.341

3 0
3 years ago
Translate this sentence into an equation.<br> 108 is the product of Carlo's age and 6.
NeTakaya

Answer:

Step-by-step explanation:

Let Carlo's age =  x

Equation: 6*x = 108

               6x = 108

Solution:

6x = 108

x = 108/6

x = 18

Carlo's age = 18 years

8 0
2 years ago
Read 2 more answers
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