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Ahat [919]
3 years ago
11

X-7 divided by 4=-2 show work

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
(X-7)/4 = 2
X-7 = 4×2
X-7 = 8
X = 8+7
X= 15
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James has pennies nickels and dimes in his bank he is has more than $1.60 and less than $2.00 in the bank there are 5 times as m
Aliun [14]

James has pennies, nickles and dimes in his bank. he has more than $1.60 and less than $2.00 in the bank. there are 5 times as many pennies as dimes. there is an equal number of nickels and dimes. what is the exact amount of money in his bank?

<em><u>Answer:</u></em>

The exact amount of money in his bank is $ 1.8

<em><u>Solution:</u></em>

Let "p" be the number of pennies

Let "d" be the number of dimes

Let "n" be the number of nickels

Given that,

<em><u>There are 5 times as many pennies as dimes</u></em>

Number of pennies = 5 times the number of dimes

p = 5d ----------- eqn 1

<em><u>There is an equal number of nickels and dimes</u></em>

n = d -------- eqn 2

We know that,

value of 1 dime = 0.10 dollar

value of 1 nickel = 0.05 dollar

value of 1 penny = 0.01 dollar

<em><u>The total value of coins is:</u></em>

total value = d(0.10) + n(0.05) + p(0.01)

Substitute eqn 1 and eqn 2

total value = d(0.10) + d(0.05) + 5d(0.01)

total value = 0.2d

Given that he has more than $1.60 and less than $2.00 in the bank

Therefore, 0.2d must be greater than 1.60 and less than 2.00

Try for d = 8

total value = 0.2 x 8 = 1.6

But value must be greater than 1.6

Try for d = 9

total value = 0.2 x 9 = 1.8

Thus 1.8 is greater than 1.60 and less than 2.00

Therefore, the exact amount of money in his bank is $ 1.8

8 0
3 years ago
Calculate the frequency of a wave with a speed of 130 m/s and a wavelength of 2.5
denis23 [38]

Answer:

  52 Hz

Step-by-step explanation:

We can divide the speed by the wavelength to find the number of waves propagated in one second:

  (130 m/s)/(2.5 m/wave) = 52 waves/s

The SI unit of frequency is the Hertz, equal to one cycle per second.

The frequency of this wave is 52 Hz.

_____

<em>Additional comment</em>

The use of the unit Hz to signify frequency was adopted in 1933, but did not replace the unit "cycles per second" (CPS) until a number of years later.

3 0
2 years ago
HELP MEEE RNNNNNNNNNNNNN
dolphi86 [110]

As this rectangle has it's sides parallel to x axis and y axis

it is easy to find the length of it's sides by counting the number of blocks on each sides.

Let us first find co ordinates of all four points

we would calculate them left and right and up down direction from the origian ( the cross point of x and y axis )

A : it is 2 unit left 2 unit up ( -2 , +2 )

B is 5 unit right 2 unit up ( +5 ,+2)

C is 5 unit right 2 unit down ( +5,-2)

D is 2 unit left 2 unit down ( -2,-2)

Let us now find the distance AB : A is 2 unit left B is 5 unit right so length AB= 2+5 = 7

Let us now find distance AD : A is 2 unit up and D is 2 unit down

so length AD= 2+2= 4

Answer should be 7 x 4 units

5 0
3 years ago
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Choose the value of x that makes the open sentence true 40-x^2 &lt; 2x+15.
S_A_V [24]

I believe the answer is B, but I'm not 100% sure. :)


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3 years ago
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Is 11.5 rational or irrational
earnstyle [38]
11.5 is a rational number
4 0
3 years ago
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