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3 years ago

Expanded form of 164.38

Mathematics

2 answers:

Sauron [17]3 years ago

7 0

164.38 = (1 x 100) + (6 x 10) + (4 x 1) + (3/10) + (8/100)

Otrada [13]3 years ago

3 0

Expanded form of 164.38

$164.38=1 \times 10^2+6 \times 10^1+4 \times 10^{0}+3 \times 10^{-1}+8 \times 10^{-2}$

General Rule

$ABCD.EFGH=A \times 10^3+B \times 10^2+C \times 10^1 +D \times 10^0+E \times 10^{-1}+F \times 10^{-2}+G \times 10^{-3} +D \times 10^{-4}$

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Lisa sold costume jewelry at a bazaar. The first hour she sold 2 bracelets and 3 rings for a total of $36.00 later a customer bo

saw5 [17]

2x + 3(6) = 36

2x + 18 = 36

2x = 18

x = 9

answer: each bracelet costs $9

7 0

3 years ago

12=15(z−51) What is Z

professor190 [17]

Answer:

51.8

Step-by-step explanation:

Multiply 15 by z and -51 which would equal (15z-765).

Add 765 to 12 and that equals 777

Divide 777 by 15 which would equal 51.8

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3 years ago

Greg and Erin start at the same point and begin running in different directions. Greg is running east at a speed of 7 miles per

AveGali [126]

Answer: The time at which the distance between the two is 150 miles is 1.3 hr.

Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by x mi, and that of Erin is given by y mi.

Step 2: To derive the distance covered by Erin and Greg, we use the formula Speed = distance ÷ time.

Which by cross-multiplying gives distance = speed × time.

Let time taken to cover the distance be t h.

Given that Speed of Erin is 9 mph and that of Greg is 7 mph.

Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for time t.

(7t)² + (9t)² = 15²

49t² + 81t² = 225

(49 + 81)t² = 225

t² = 225/(49 + 81)

t² = 225/130

t² = 1.730769231

t = √1.730769231

t = 1.315587029

t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0

3 years ago

Find the value of each variable in the parallelogram

melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0

3 years ago

Read 2 more answers

One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily

sdas [7]

Given

One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved

7 0

3 years ago