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3 years ago

Using place value to exchange equal amounts when renaming a number is called

1 answer:

3 0

<span>Using place value to exchange equal amounts when renaming a number is called : Regroup Simple example for a group is when you try to add up : 86 + 25 86 has 8 group of tens and 6 groups of one 25 has 2 groups of tens and 5 groups of one after adding that up , now the number has 11 group of tens and 1 group of one, the result of that equation would be : 110</span>

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Log*subscript*(3x − 2) 4096 = 3<br><br> I got x= negative 6 is this correct??

Brut [27]

Remember

$log_a(b)=c$ translates to $a^c=b$
and
$log_a(b^c)=clog_a(b)$
so

4096=16^3
$log_{3x-2}(4096)=3$
$log_{3x-2}(16^3)=3$
$3log_{3x-2}(16)=3$
divide both sides by 3
$log_{3x-2}(16)=1$
translate
$(3x-2)^1=16$
3x-2=16
add 2 to both sides
3x=18
divide both sides by 3
x=6

8 0

3 years ago

A rose bush started out at 6 inches it grew to l5 inches after a month what is the percent of change

scoray [572]

259% increase because 6 x 2 is 12 and 3 is the remainder and 3/6 is 50%

3 0

3 years ago

Find the value of x and the length of both chords if BW=2x+10, WD=4, CW=7x+5, and WE=2.

daser333 [38]

Answer:

The value of x is 5

The lengths of the chords are 24 units and 42 units

Step-by-step explanation:

In a circle if two chords intersected at a point inside it there are four segments created, two in each cord, the products of the lengths of the line segments on each chord are equal

∵ BD and CE are two chords in a circle intersected at W

∴ The two segments of chord BD are BW and WD

∴ The two segments of chord CE are CW and WE

- By using the rule above

∴ BW × WD = CW × WE

∵ BW = 2x + 10 and WD = 4

∵ CW = 7x + 5 and WE = 2

- Substitute them in the rule above

∴ (2x + 10) × 4 = (7x + 5) × 2

∴ 4(2x) + 4(10) = 2(7x) + 2(5)

∴ 8x + 40 = 14x + 10

- Subtract 14x from both sides

∴ - 6x + 40 = 10

- Subtract 40 from both sides

∴ - 6x = - 30

- Divide both sides by - 6

∴ x = 5

∵ Chord BD = 2x + 10 + 4

∴ Chord BD = 2x + 14

- Substitute the value of x to find its length

∴ Chord BD = 2(5) + 14 = 10 + 14

∴ Chord BD = 24 units

∵ Chord CE = 7x + 5 + 2

∴ Chord CE = 7x + 7

- Substitute the value of x to find its length

∴ Chord CE = 7(5) + 7 = 35 + 7

∴ Chord CE = 42 units

5 0

2 years ago

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

SpyIntel [72]

Answer:

Step-by-step explanation:

We can start by defining a couple things.

x = amount of nickels

y = amount of dimes

Since he has the same amount of each, we can say this.

x = y

And because we know it totals 0.90, we can say this.

0.05x + 0.10y = 0.90

then, we substitute and get this.

0.05x + 0.10x = 0.90

Simplify.

0.15x = 0.90

Divide both sides by 0.15.

x = 6

So we have 6 nickels, and they both are the same, so we have 6 dimes.

4 0

3 years ago

What are the coordinates of Y(-35, 5) is reflected across the x-axis

puteri [66]

Answer:

(- 35, - 5 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), hence

(- 35, 5 ) → (- 35, - 5 )

7 0

3 years ago