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ipn [44]
4 years ago
9

7 and 5/9 minus 4 and 7/12

Mathematics
1 answer:
steposvetlana [31]4 years ago
4 0
7\dfrac{5}{9}-4\dfrac{7}{12}=7\dfrac{5\cdot4}{9\cdot4}-4\dfrac{7\cdot3}{12\cdot3}=7\dfrac{20}{36}-4\dfrac{21}{36}\\\\=6\dfrac{36+20}{36}-4\dfrac{21}{36}=6\dfrac{56}{36}-4\dfrac{21}{36}=2\dfrac{35}{36}
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The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would
vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

T_A=4.225+1.375+3=8.6

The total sales tax for Florida is:

T_F=6.5+1+1.625=9.125

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

ST_A=1500\cdot T_A=1500\cdot 0.086=129

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0
3 years ago
Find the value of x.
Genrish500 [490]

Answer:

11

Step-by-step explanation:

All angles on a triangle equal 180. 80+60=140.

Now to solve for x, we set it to equal 40 for 180-140.

40=3x+7. 40-7=33

33=3x 33/3=11

x=11

8 0
3 years ago
Read 2 more answers
Active ingredient of a pill comprises 45% of the pill mass. If a pill contains 325 mg of active ingredient,
uranmaximum [27]

Answer:

Step-by-step explanation:

The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:

active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:

325 = .45m and divide by .45:

m = 722.2 mg

6 0
3 years ago
Subtract (x^2+3x-4) -(4x-2x^2-3)
Feliz [49]

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4

Factor -1 out of -2 x^2 + 4 x - 3:

--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

(-1)^2 = 1:

2 x^2 - 4 x + 3 + x^2 + 3 x - 4

Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):

(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)

x^2 + 2 x^2 = 3 x^2:

3 x^2 + (3 x - 4 x) + (-4 + 3)

3 x - 4 x = -x:

3 x^2 + -x + (-4 + 3)

3 - 4 = -1:

Answer: 3 x^2 - x + -1

4 0
4 years ago
Which term best describes the geometric figure?
nordsb [41]

Answer:

The geometric figure is a Segment

Step-by-step explanation:

A and B are points since they are shown by dots and a point usually marks a location.

In Geometry a line is straight  and  extends in both directions infinitely.

A line segment or simply segment is the part of a line that connects two points. A segment is the shortest distance between the two points and has a length.

5 0
3 years ago
Read 2 more answers
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