Solve for x.
7x = 42
7x = 42
Divide both sides by 7
x = 6
To solve for x:
42/x = 5/2
Cross-multiply:
5x = 84
Divide both sides by 5:
x = 16.8
To find the number:
Let x be the number.
25% of x is 60.
Convert the percentage to a decimal by dividing by 100:
25/100 = 0.25
Write an equation and solve for x:
0.25x = 60
Divide both sides by 0.25:
x = 240
Therefore, 60 is 25% of 240.
X=6
42/x=5/2
60 is 25% of what number
If you invest $1600 at 5.25% for 18 mouths, how much simple interest is earned
First, we need to convert the time from months to years by dividing by 12:
18 months ÷ 12 months/year = 1.5 years
Next, we can use the formula for simple interest:
I = P * r * t
Where:
I = Interest earned
P = Principal (initial investment)
r = interest rate (as a decimal)
t = time in years
Substitute the given values and solve for I:
I = $1600 * 0.0525 * 1.5
I = $126
Therefore, the simple interest earned is $126.
A pair of jeans originally cost $85 but are on sale for 45% off what is the sale price.
To find the sale price of the jeans:
1. Calculate the discount:
Discount = 85 * 0.45
Discount = 38.25
2. Subtract the discount from the original price:
Sale Price = 85 - 38.25
Sale Price = 46.75
Therefore, the sale price of the jeans after a 45% discount is $46.75.
A pair of flip flops is $30 how much will they cost after a 20% discount and 6.5% tax
To find the final cost of the flip flops after the discount and tax:
1. Calculate the discount:
Discount = $30 * 0.20
Discount = $6
2. Subtract the discount from the original price:
Subtotal = $30 - $6
Subtotal = $24
3. Calculate the tax:
Tax = $24 * 0.065
Tax = $1.56
4. Add the tax to the subtotal:
Total Cost = $24 + $1.56
Total Cost = $25.56
Therefore, the flip flops will cost $25.56 after a 20% discount and 6.5% tax.
Which is a better deal 18 oz for $6.60 or 12 oz for $4.75
To compare which deal is better, we need to calculate the unit price of each option:
For the first option, the unit price is:
Price per oz = $6.60 ÷ 18 oz
Price per oz = $0.3667/oz
For the second option, the unit price is:
Price per oz = $4.75 ÷ 12 oz
Price per oz = $0.3958/oz
Therefore, the first option of 18 oz for $6.60 has a lower unit price than the second option of 12 oz for $4.75. This means that the first option is a better deal for the amount of cereal you get per dollar.
-18+10
-18 + 10 = -8
—17 - (-25)
When subtracting a negative number, we can rewrite the expression as addition of the opposite.
-17 - (-25) is the same as -17 + 25
-17 + 25 = 8
Therefore, -17 - (-25) is equal to 8.
-125/5
-125 divided by 5 is equal to -25.
Therefore, -125/5 = -25.
-2 (16)
-2(16) means to multiply -2 by 16.
-2(16) = -32
Therefore, -2(16) is equal to -32.
-22+14
________
2(-10)
We can simplify the expression as follows:
-22 + 14 = -8
2(-10) = -20
Therefore, the expression simplifies to:
-8/-20
We can simplify this further by dividing both the numerator and denominator by their greatest common factor, which is 4:
(-8/-20) ÷ 4/4 = 2/5
Therefore, (-22 + 14) ÷ 2(-10) is equal to 2/5.
2 4/5- 6 2/15
To subtract mixed numbers, we need to convert them into improper fractions first:
2 4/5 = (2 x 5 + 4)/5 = 14/5
6 2/15 = (6 x 15 + 2)/15 = 92/15
Now we can subtract:
2 4/5 - 6 2/15 = 14/5 - 92/15
To subtract fractions, we need to have a common denominator, which is 15:
14/5 * 3/3 = 42/15
92/15
Now, we can subtract:
42/15 - 92/15 = -50/15
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:
-50/15 ÷ 5/5 = -10/3
Therefore, 2 4/5 - 6 2/15 is equal to -10/3 or -3 1/3 as a mixed number.
-10x+8
There's no operation given to perform with -10x + 8. The given expression -10x + 8 is already simplified as much as it can be. If you have additional information or another expression to combine it with, feel free to ask!
-10x +8=
The equation -10x + 8 = 0 can be solved for x by isolating x on one side of the equation.
We can start by subtracting 8 from both sides:
-10x + 8 - 8 = 0 - 8
Simplifying the left side:
-10x = -8
Finally, we can solve for x by dividing both sides by -10:
-10x / -10 = -8 / -10
Simplifying:
x = 0.8
Therefore, the solution to the equation -10x + 8 = 0 is x = 0.8.
Distribute 4(-3x+2)
To distribute 4 to the expression -3x+2, we need to multiply 4 by each term inside the parentheses:
4(-3x+2) = (4 x -3x) + (4 x 2)
Simplifying:
= -12x + 8
Therefore, the result after distributing 4 to the expression -3x+2 is -12x + 8.
Add (13x+2) + (7x-10)=
To add (13x+2) + (7x-10), we can combine like terms:
13x + 2 + 7x - 10
Combine 13x and 7x:
20x + 2 - 10
Simplify:
20x - 8
Therefore, (13x+2) + (7x-10) simplifies to 20x - 8.
Subtract (20a-10)-(-12a-3)
When subtracting a negative expression, we can rewrite it as addition of the opposite.
(20a-10) - (-12a-3) is the same as (20a - 10) + (12a+3)
Now we can combine like terms and simplify:
20a + 12a - 10 + 3 = 32a - 7
Therefore, (20a-10) - (-12a-3) is equal to 32a - 7.
Simplify -10y+8-y+2x+x -3
To simplify -10y+8-y+2x+x-3, we can combine like terms:
-10y - y + 2x + x + 8 - 3
Simplify like terms:
-11y + 3x + 5
Therefore, -10y+8-y+2x+x-3 simplifies to -11y + 3x + 5.