Jack broke apart 5x216 as (5x200) + (5x16) to multiply mentally.What strategy did Jack use?

Ksenya-84 [330]

Well, 12.5 is 25/2.

$\frac { 25 }{ 2 } \times n=52\\ \\ \frac { 2 }{ 25 } \times \frac { 25 }{ 2 } \times n=52\times \frac { 2 }{ 25 } \\ \\ \therefore \quad n=\frac { 104 }{ 25 } =\frac { 100 }{ 25 } +\frac { 4 }{ 25 } =4+\frac { 4 }{ 25 } \\ \\ \therefore \quad n=4.00+0.16=4.16$

7 0

3 years ago

Which is a correct classification for the triangle?

masya89 [10]

B) right angle triangle
angles in a triangle add up to 180 degrees
31+59=90
180-90=90
90 degrees is a right angle

4 0

2 years ago

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Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher ma

alexira [117]

Answer:

The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

Explanation:

To solve for x, we need to isolate the x on one side of the equation.

This can be done as follows:

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

Let's verify this using the given replacement set {2,3,4,5}:

For x = 2:

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

For x = 3:

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

For x = 4:

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

For x = 5:

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)

5 0

3 years ago

an anoymous survey of college students was taken to determine behaviors regarding alcohol,cigarretes and illegal drugs 859 drank

Sveta_85 [38]

You have to use carefully Venn Diagram to solve this problem:
n, here below means number of students

GIVEN
----------
n(Cigarettes) = 645
n(Alcohol) = 859
n(Drugs) = 207
n(Alcohol ∩ Cigarettes) = 397
n(Alcohol ∩ Drugs) = 109
n(Alcohol ∩ Cigarettes ∩ Drugs) = 85
And 274 Students "Clean from any of the above"
Let x be the unknown number, that is n(Cigarettes ∩ Drugs)
Start by drawing 3 intersecting circles, one for Alcohol, another for Cigarettes and the 3rd for Drugs:

1) n( Alcohol ONLY) =859-397-109-85 = 268 (only Alcohol)

2) n( Cigarettes ONLY) =645-397-85 - x= 163 - x (only Cigarettes)

3) n( Drugs ONLY) =207- 109 -85 - x = 13 - x (only Drugs).

(Remember that there are 274 Students clean, not shown in Venn)

Total of students (we need it to solve):

TOTAL n(STUDENT) = Alcohol Alone+ Cigarette Alone+ Drug Alone + 274
TOTAL n(STUDENT) = 268 + (163-x) + (13-x) + 274
TOTAL n(STUDENT) = 718 -2x
(hope you can get the TOTAL n(STUDENT) to be able to find x, which is the
n(Drugs ∩ Cigarettes)

3 0

3 years ago

I don’t understand. online school is hard

WARRIOR [948]

Answer:

online is harder than

Step-by-step explanation:

school is nice place

8 0

3 years ago

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