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3 years ago

1 1/12 will be greater than, less than, or equal to 1 5/8?

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

1 1/12 is less than 1 5/8

Step-by-step explanation:

Turn 1 1/12 into An improper fraction. Multiply the denominator (12) by the whole number (1). =12

Add 1 to 12= 13

13/12= 1.083 decimal

1 5/8 into an improper fraction

8*1=8

8+5= 13/8

13/8= 1.625 decimal.

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Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

A cafe sells drink in 3 sizes: small,medium and a large. The small cup cost $0.89 and holds 9 ounces. The medium cost $1.29 and

KatRina [158]

The large cup is best to buy. This is because it costs 11 cents per ounce for the medium cup and 11 cents for the large cup as well. You get almost double the amount for the same price with the large cup.

3 0

3 years ago

Sin4u=2sin 2u cos 2u

yKpoI14uk [10]

Answer:

If you've learnt sin(A+B) = sinAcosB + cosAsinB,

sin(4u)

= sin(2u+2u)

= sin(2u)cos(2u) + cos(2u)sin(2u)

= 2 sin(2u) cos(2u).

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3 years ago

Describe the end behavior of the function. f(x)=3(1/5)^x-2

Likurg_2 [28]

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

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2 years ago

Read 2 more answers

Evaluate f(x)3x + 8 for x = 1. A. -11 B. 5 C. 11 D. 3

mariarad [96]

Answer:11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

5 0

3 years ago