What kind of statement does the shorthand below represent?

Answer: The mixed number 5  7/9

We can write the mixed number as 5 & 7/9 to better separate the whole part (5) from the fractional part (7/9)

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Explanation:

Use this formula

[tex]a \frac{b}{c} = \frac{a*c + b}{c}[/tex]

to convert from a mixed number to an improper fraction.

Here are the steps in converting 5 & 1/3

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\5 \frac{1}{3} = \frac{5*3+1}{3}\\\\5 \frac{1}{3} = \frac{16}{3}\\\\[/tex]

Through similar steps you should also have

[tex]4 \frac{5}{9} = \frac{41}{9}\\\\6 \frac{5}{9} = \frac{59}{9}\\\\[/tex]

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Let's add the amounts needed for the family room and the living room.

[tex]\frac{41}{9}+\frac{59}{9}\\\\\frac{41+59}{9}\\\\\frac{100}{9}\\\\[/tex]

Subtract off the amount the painter already has

[tex]\frac{100}{9} - \frac{16}{3}\\\\\frac{100}{9} - \frac{3*16}{3*3}\\\\\frac{100}{9} - \frac{48}{9}\\\\\frac{100-48}{9}\\\\\frac{52}{9}\\\\[/tex]

This improper fraction is the number of gallons of paint that's missing, i.e. the amount the painter needs to buy.

Converting it to a mixed number gets us:

[tex]\frac{52}{9}=\frac{45+7}{9}\\\\\frac{52}{9}=\frac{45}{9}+\frac{7}{9}\\\\\frac{52}{9}=5+\frac{7}{9}\\\\\frac{52}{9}=5\frac{7}{9}\\\\[/tex]

Note that 52/9 leads to a quotient of 5 and a remainder of 7. The 5 and 7 match with 5 & 7/9

The painter needs to buy 5 full gallons, plus another 7/9 of a gallon. Or we can state it as him needing 5 & 7/9 gallons of paint.

2(x - 6) + 6 = 4x - 4

Multiply 2 with x - 6

2x - 12 + 6 = 4x - 4

2x - 6 = 4x - 4

Change the position of them

2x - 4x = -4 + 6

- 2x = 2

Take -2 to other side and divide

[tex]x \: \: = \frac{2}{ - 2} [/tex]

x = -1 answer

Answer:

A = 3

Step-by-step explanation:

[tex]3a - 10 + 8 + a = 2a + 5a - 11\\[/tex]

Steps:

1) Combine like terms

[tex]4a-2 = 7a-11[/tex]

2) Either subtact 7a from 4a or 4a from 7a. ( I did 7a-4a because so i dont have a negiative in front of my variable)

[tex]-2 = 3a -11[/tex]

3) If u did it like me you add 11 to -2 and add 11 to -11 (which cancel out)

[tex]9=3a[/tex]

4) Divide 3a by 3(which is just a) and 9 divided by 3

[tex]3=a[/tex]

4) Check your answer (just plug in 3 for a and solve. You should get 10=10.)

Hope this helps just let me know if u have any questions about my answer :P

Answer:

0.016

Step-by-step explanation:

u divide 0.048 by 30 and the result is the answer

Answer:

37,500 meters long

Step-by-step explanation:

The tape plays at 0.048 meters per second. First, let's find the number of seconds in 30 minutes.

The tape plays at 0.048 meters per second for 1800 seconds

The equation is:

The tape is [tex]\boxed{\text{37,500 meters long}}[/tex]

-Chetan K

Answer:

y=x+1

Step-by-step explanation:

The equation of a line is written in the form y=mx+c

c= y intercept which is 1

m= gradient which is also 1

so the equation is y=x+1

Answer:

5 weeks

Step-by-step explanation:

x(number of weeks)

5+2x=15

2x=10

x=5

(verification)

5+2*5=15

15=15

here is the process hope it helps you

Answer:

It makes sense at the beginning, but I'm sure that there's a second part??

Step-by-step explanation:

Sorry love

Let aₙ be the n-th term of the A.P.

Then for some fixed number d,

[tex]a_{844} = a_{843} + d[/tex]

[tex]a_{844} = (a_{842} + d) + d = a_{842} + 2d[/tex]

[tex]a_{844} = (a_{841} + d) + 2d = a_{841} + 3d[/tex]

and so on.

Notice how on the right side, the subscript of a and the coefficient of d always add up to 844. Follow this pattern all the way down to a₁₉ to get

[tex]a_{844} = a_{19} + 825d[/tex]

We're told that a₁₉ = 844 and a₈₄₄ = 19. Solve for d :

19 = 844 + 825d

825d = -825

d = -1

We can also write aₙ in terms of an arbitrary k-th term, aₖ, using the pattern from before:

[tex]a_n = a_k + (n - k) d[/tex]

Suppose aₖ = 0 for some value of k. Pick any known value of aₙ, replace d = -1, and solve for k :

a₈₄₄ = 0 + (844 - k) • (-1)

19 = k - 844

k = 863

So, a₈₆₃ = 0.

Answer:

It's good

Step-by-step explanation:

7 x 60 = 420.

So, she will get the complete money

Explanation:

We assume the problem statement is telling us that the order of points on segment QR is Q, A, B, R, and that QA = AB = BR. This means that

  QB = QA +AB = 2BR

  BR = 1/2(QB)

The area of the triangles will be ...

  A = 1/2bh

For triangle PQB, the area is ...

  ar(PQB) = 1/2(QB)h . . . . . h is the perpendicular distance from QR to P

For triangle PBR, the area is ...

  ar(PBR) = 1/2(BR)h = 1/2(1/2QB)h . . . . h is the same as above

  ar(PBR) = 1/2ar(PQB)

__

Essentially, you're showing the base of the smaller triangle is 1/2 the base of the larger one and using that to show the area of the smaller triangle is 1/2 the area of the larger one. (Both have the same height.)

Answer:

50°

Step-by-step explanation:

We assume that lines c and d are parallel.

m<1 = 130

m<2 = 50 since angles 1 and 2 are supplementary.

m<6 = m<2 since angles 2 and 6 are corresponding angles of parallel lines.

m<6 = 50°

Answer: 50°

Answer:

14

Step-by-step explanation:

To find TV you must add the length of TU (6) by the length of UV (4x) to find x to find the length of TV(7x).

6+4x=7x

Do inverse operations to solve for x.

6=3x

x=2

Now that we know x is 2, we must substitute 2 in for the x in the equation for TV (7x).

7 × 2 = 14

TU = 14

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only. The angle formed is 31 degrees which occurs between two sides that are AD and BC. We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base. Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD Using formula for tanθ tanθ = Perpendicular/Base tan31 = 3/BD 0.601 = 3/BD BD = 3/0.601 BD = 4.99 units

Answer:

Acute angle

Step-by-step explanation:

Obtuse is 91 degrees or more

Right is exactly 90 degrees

Acute is 89 or less.

Your answer is acute

Answer:12+h

Step-by-step explanation:

Answer:

A≈22 | B≈4.4 | C≈13.2

Step-by-step explanation:

5 + 1 + 3= 9

40/9≈ 4.444…

(4.4x5=22)+(1x4.4=4.4)+(3x4=13.2)= 39.6≈40

Idrk  if I did this right, but I hope it’s kinda useful (I have a feeling I misunderstood the question lmdao)

Answer:

7

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's convert the mixed fractions into improper fractions. Next, I am going to make the denominators same. Then I am going to add the fractions to obtain my answer.

Hence, the solution is 88/12 or 7 4/12.

Answer:

$.08 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

6.80 / 88 lbs

$.077272727 per pound

Rounding to the nearest cent

$.08 per pound

Answer:

51.428

Step-by-step explanation:

hope it helps alot

Answer:

62.83m

Step-by-step explanation:

The formula for circle circumference is

[tex]2 \times \pi \:\times r[/tex]

Answer:

The standard deviation for each group is obtained by dividing the length of the confidence interval by 3.92, and then multiplying by the square root of the sample size: For 90% confidence intervals 3.92 should be replaced by 3.29, and for 99% confidence intervals it should be replaced by 5.15.

Answer:

Step-by-step explanation:

he should put $81 into savings because 30% of 270 is 81.

well, looking at the picture of this vertically opening parabola, it has a vertex at 0,0 and it passes through 2,1 hmm ok

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = a(x-0)^2+0\qquad \stackrel{\textit{we also know that}}{x=2\qquad y = 1}\qquad \implies 1=a(2-0)^2+0 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hspace{10em} \boxed{y=\cfrac{1}{4}x^2}[/tex]

Answer:

560

Step-by-step explanation:

560÷210+÷90138 which makes the answer

Answer:

it is plasma i think

Step-by-step explanation: i hope this answer your question if this is wrong or correct please let me know.

Answer:

What is plasma explain?

Plasma is the largest part of your blood. ... When separated from the rest of the blood, plasma is a light yellow liquid. Plasma carries water, salts and enzymes. The main role of plasma is to take nutrients, hormones, and proteins to the parts of the body that need it. Cells also put their waste products into the plasma.

Step-by-step explanation:

-Hope this helps!

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