Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
Question 11
A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged
rectangle?
Answer:
The perimeter of the enlarged rectangle is 36 inches.
Step-by-step explanation:
Perimeter of an enlarged figure:
To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.
In this question:
Perimeter of the original rectangle: 12 inches
Scale factor: 3
Perimeter of the enlarged rectange:
12*3 = 36 inches
when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number
9514 1404 393
Answer:
56
Step-by-step explanation:
In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.
Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.
So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.
__
Check
56 × 6 = 336
65 × 5 = 325
5 + 6 = 11
_____
* Additional comment
These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42 42 W 28
Answer:
See Explanation
Step-by-step explanation:
Given
The given side lengths are not clear enough:
So, I will give a general explanation.
From the question, we understand WXYZ is dilated to produce W'X'Y'Z
This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'
i.e.
[tex]ZW *k =Z'W'[/tex]
Divide both sides by k to get side length ZW
[tex]ZW = \frac{Z'W'}{k}[/tex]
Assume that:
[tex]k = 4[/tex] and
[tex]Z'W' = 28[/tex]
[tex]ZW = \frac{Z'W'}{k}[/tex]
[tex]ZW = \frac{28}{4}[/tex]
[tex]ZW = 7[/tex]
Apply these steps and you will get your answer
1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of
interest is Sandra actually paying? (use the formula)
Answer:
She is actually paying a rate of 7.36% of interest.
Step-by-step explanation:
The real interest rate, as a decimal, is given by:
[tex]I = (1 + \frac{r}{n})^{n}[/tex]
In which r is the interest rate and n is the number of compoundings during an year.
The nominal rate on Sandra's loan is 7.125%, compounded monthly:
This means that [tex]r = 0.07125, n = 12[/tex]
So
[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]
As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%
She is actually paying a rate of 7.36% of interest.
Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.
Answer:
.40 cents each.
Step-by-step explanation:
$3.20/8=.40