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Reptile [31]
3 years ago
14

What is x over 2+ 4<7

Mathematics
1 answer:
N76 [4]3 years ago
4 0
 x/2 + 4 < 7

multiply both sides by 2
x/2 * 2 + 4 * 2 < 7 * 2
which equals
x + 8 < 14
subtract 8 from both sides
x + 8 - 8 < 14 - 8
x < 6

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Need help filling in the blanks
Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

1.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

2.

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

3.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{25.50}{850}*100

r = 0.03*100

r = 3%

4.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=675-(675*0.02)

Discounted Price=675-13.5

Discounted Price=$661.5

5.

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

7.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=1,888-(1,888*0.08)

Discounted Price=1,888-151.04

Discounted Price=$1736.96

8.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{91.34}{4567}*100

r = 0.02*100

r = 2%

7 0
3 years ago
The quotient Of triple a number and 9 is decreased by the sum of the number and 5? Expression please
Grace [21]
X/3x -x+5
Hope it helps!!!!!!!!!
6 0
3 years ago
How to answer this? A farmer had 455 ducks and chickens. He sold 2/5 of the ducks and bought another 104 chickens. As a result,
julia-pushkina [17]

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

7 0
2 years ago
Tami read 12.0045 as "twelve and forty-five thousands". is she correct?
Softa [21]
No is twelve and forty-five ten thousandths
3 0
3 years ago
Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one
Katen [24]

Answer:

C. a 180° rotation about its center.

6 0
3 years ago
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