How do you convert this mixed fraction 8 21/40 into a decimal

Answers

Answer 1

Answer: $8(21)/(40)=8(21\cdot5)/(40\cdot5)=8(105)/(200)=8(105\cdot5)/(200\cdot5)=8(525)/(1000)=\boxed{8.525}$

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A cleaning crew can clean five offices in six hours how many offices can they clean in 12 hours

Answers

Answer:

10 offices in 12 hours :)

Step-by-step explanation:

I Believe The Answer Is 10 Offices In 12 Hours

Need Help ASAP, I'M CONFUSED, IF YOU CAN'T ANSWER DON'T ANSWER

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A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisectorof a line segment can be constructed using a compass by drawing circlescentered at and with radius and connecting their two intersections.

Hope i helped

a bag contains 50 marbles 10 of which are blue 8 are red 20 are green and 12 are purple marcie takes a marble out of the bag records the color and returns it to the bag how many red marbles should she expect after 500 trials

Answers

80 red marbles are expected

Identify which shapes on the graph are congruent to shape I by performing these sequences of transformations on shape I: a 90° clockwise rotation about the origin and then a reflection across the x-axis a 90° counterclockwise rotation about the origin and then a reflection across the x-axis a 180° rotation about the origin and then a translation right 4 units

Answers

Answer:

Step-by-step explanation:

Find the value of z

Answers

Answer:

C. 50

Step-by-step explanation:

We are given ΔABC with an altitude BD as shown in the figure.

As it is known that,

'When an altitude is drawn from a right angle of a triangle, then all the three triangles are congruent.'

So, we get that ΔABC ≅ ΔABD ≅ CBD.

Since, the triangles are congruent, their corresponding sides and angles will be congruent.

Moreover, the ratio of the sides will be equal.

So, we get from ΔABC ≅ ΔABD,

$(AD)/(AB)=(AB)/(AC)$

i.e. $AD=(AB* AB)/(AC)$

i.e. $18=(30* 30)/(z)$

i.e. $18=(900)/(z)$

i.e. $z=(900)/(18)$

i.e. z = 50.

Hence, the value of z is 50.

Ben has a cell phone plan that provides 200 free minutes each month for aflat rate of $39. For any minutes over 200, Ben is charged $0.35 per minute.
Which of the following piecewise functions accurately represents charges
based on Ben's cell phone plan?
A. f (x) =
39, x> 200
39+. 35, x < 200
B. f (x) =
39, x 200
35(x-200), x > 200
C. f(x) =
39,
x200
35x, x > 200
D. f (x) =
39.x200
39+. 35(x-200), x > 2001

Answers

Answer:

The piecewise functions accurately represents charges based on Ben's cell phone plan is :

$f(x)= 39, x \leq 200\nf(x)=39 + 0.35(x - 200), x > 200}$

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

So, $f(x)= 39, x \leq 200$

We are also given that For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

$f(x)=39 + 0.35(x - 200), x > 200}$

Hence the piecewise functions accurately represents charges based on Ben's cell phone plan is :

$f(x)= 39, x \leq 200\nf(x)=39 + 0.35(x - 200), x > 200}$

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