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Rina8888 [55]
2 years ago
5

Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?

Mathematics
1 answer:
nordsb [41]2 years ago
8 0

Answer:

a is any number that is multiples of 3

3, 6, 9, 12, etc...

Step-by-step explanation:

5 1/3 ÷ 4/a

16/3 * a/4

16a/12

\frac{4}{3} a

since denominator is 3, a can be any whole number that is a multiple of 3

\frac{4}{3}(3) = 4

\frac{4}{3}(6) = 8

\frac{4}{3}(9) = 12

so on and so on....

You might be interested in
Which products result in a perfect square trinomial? Select three options.
Kazeer [188]

Answer:

Second option: (xy+x)(xy+x)

Third option: (2x-3)(-3+2x)

Fifth option: (4y^2+25)(25+4y^2)

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2

(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9

(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625

8 0
2 years ago
Read 2 more answers
Dorothy Wagner is currently selling 80 "I ♥ Calculus" T-shirts per day, but sales are dropping at a rate of 2 per day. She is cu
GrogVix [38]

Answer:

Increasing by $66 per day

Step-by-step explanation:

If sales are dropping at a rate of  2 per day, the sales function is:

S = -2t +80

If price is increasing by $1 per day, the daily price function is:

P=1t+7

Revenue is given by daily sales multiplied by daily price:

R = S(t)*P(t) = (-2t+80)*(t+7)\\R(t) = -2t^2+66t+560

The derivate of the revenue function gives us the daily rate of change in revenue:

R(t) = -2t^2+66t+560\\R'(t) = -4t+66

Currently (t=0) her daily revenue is changing by:

R'(0) = -4*0+66\\R'(0) = \$66

Her revenue is increasing by $66 per day.

3 0
2 years ago
Write or draw to explain a way to find each sum: 6+7, 8+4, 2+9
storchak [24]
Draw six dots then a plus sign then draw seven dots and the count them and put an equal sign and however many dots. Doe the same with the other numbers
6 0
2 years ago
Read 2 more answers
Select the angle that correctly completes the law of cosines for this triangle. 72 + 252 – 2(7)(25)cos ___ = 242 A. 180° B. 90°
meriva

Answer:

x =76.45 degrees

Step-by-step explanation:

72 + 252 – 2(7)(25)cos _x__=242

combine like terms

324-350cosx = 242

subtract 324 from each side

-350x = -82

divide by -350

cos x = -82/-350

cos x = 82/350

take the arccos of each side

arccos (cos x) = arccos (82/350)

x =76.45 degrees


7 0
2 years ago
What is the equation of a line in slope intercept form that contains the points (-4,3) and (2,-6)
Nataly_w [17]

Answer:

y = (-3/2)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):

m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2

So, we can update our equation:

y = (-3/2)x + b

The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:

3 = (-3/2) * (-4) + b

3 = 6 + b

b = -3

So, our y-intercept is -3.

Our slope-intercept form is thus:

y = (-3/2)x - 3

<em>~ an aesthetics lover</em>

7 0
2 years ago
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