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4 years ago

1 1/3 divided by 3 + 1/3

1 answer:

3 0

The first step to solve this problem is to convert the first mixed number to an improper fraction.
$\frac{4}{3}$ ÷ 3 + $\frac{1}{3}$
Dividing is equivalent to multiplying with the reciprocal value,, so next you will need to change the signs.
$\frac{4}{3}$ x $\frac{1}{3}$ + $\frac{1}{3}$
Multiply the fractions
$\frac{4}{9}$ + $\frac{1}{3}$
Finally,, add the two fractions together to get your final answer
$\frac{7}{9}$
This means that the correct answer to your question is $\frac{7}{9}$ .
Let me know if you have any further questions
:)

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what plan would great a two house legislature with representation decided only by a states population

Elodia [21]

The proposal that called for a two house legislature with one house having equal representation for each state and the other having representation based on population was the

The Constitutional Convention's agreement to establish a two-house national legislature, with all states having equal representation in one house and each state having representation based on its population in the other house.

4 0

3 years ago

An Advertising firm has an old computer that can prepare a whole mailing in 6 hours. With the help of newer model the job is com

tiny-mole [99]

Answer:

It would only take three hours.

Step-by-step explanation:

1/6+1/x=1/2

x + 6=3x

6=2x

x=3hr

5 0

3 years ago

Solve the following quadratic function

padilas [110]

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

=========================================================

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

=========================================================

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

=========================================================

Taking square root on both sides :

⇒ √(x²) = √4

⇒ x = ±2

8 0

2 years ago

Given the lengths of the sides, state if the triangle is acute, obtuse, or right. 8, 15, and 17 This is a(n) blank triangle.

Ivahew [28]

Answer:

This is a right triangle

Step-by-step explanation:

Pythagoras theorem is used to determine if a triangle is right, acute or obtuse

If the sum of squares of two shorter lengths is greater than the square of third side then the triangle is an acute triangle.

If the sum of squares of two shorter lengths is less than the square of third side then the triangle is an obtuse triangle.

If the sum of squares of two shorter lengths is equal the square of third side then the triangle is a right triangle.

so,

$(17)^2 = (15)^2+(8)^2\\289 = 225+64\\289=289$

Therefore, the given triangle is a right triangle ..

8 0

4 years ago

for questions 3 & 4. Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a simil

pogonyaev

9514 1404 393

Answer:

3. ΔBEA ~ ΔBCD by AA

4. ΔPXY ~ ΔPQR by SSS

Step-by-step explanation:

3. The missing angle in ΔBEA is angle E, which has measure ...

∠E = 180° -42° -53° = 85°

So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.

4. Shortest-to-longest, the side ratios of the two triangles are ...

12 : 15 : 18 = 4 : 5 : 6

and

16 : 20 : 24 = 4 : 5 : 6

Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.

7 0

3 years ago