**Answer:**

**Mrs. Bee current age=38 years**

**Son current age=8 years**

**In 7 years Mrs. Bee will be three times as old as her son will be then**

**Step-by-step explanation:**

We are told that currently Mrs. Bee's age is six years more than four times her son's age :

**(1)**

Then, we are told that three years ago, she was seven times as old as her son was then:

**(2)**

At this point we ave a system of two equations with which we can find Mr. Bee's and her son's current age.

Substituting **(1)** in **(2):**

**(3)**

Finding :

**(4) This is the son's current age**

Substituting **(4)** in** (1)**:

**(5)**

Finding :

**(6) This is Mrs. Bee's current age**

Now we have to determine how many years from now Mrs. Bee will be three times as old as her son will be then:

**(7)**

Isolating :

**This means that in 7 years Mrs. B will be three times as old as her son will be then.**

**1. **7/9 - 3/8 = (7·8 - 9·3)/(9·8) = (56 -27)/72 = **29/72**

**2.** (5 4/5) - (2 1/4) = (5 - 2) + (4/5 - 1/4) = 3 + (4·4 -5·1)/(5·4) = **3 11/20**

_____

(a/b) -(c/d) = (ad -bc)/(bd) . . . . a useful formula to remember when working problems like this. It is equivalent to multiplying the first fraction by d/d and the second one by b/b to get a common denominator of bd. Of course if the second fraction is added instead of subtracted, the sign changes in both places.

9514 1404 393

**Answer:**

√35 +3√7 -6 . . . square units

**Step-by-step explanation:**

The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.

Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.

The overall width is the sum of the given partial widths:

width = (√7 -2) + (2) = √7

Then the area of the bounding rectangle is ...

A = LW = (√5 +3)(√7) = √35 +3√7

The area of the upper right empty-space is ...

A = LW = (3)(2) = 6

Then The area of the shaded figure is ...

** √35 +3√7 -6**

**Answer:**

x=y<z, option B is correct.

**Step-by-step explanation:**

Lets calculate how much money the stores charge with respect to the price list.

Since Z does not charge with taxes or discounts, then Z sells 100 % the price list.

X applies a discount first, so it sells at 95% the price ignoring taxes. With the tax charge it increases by a 5% of the 95, so in total it sells with 95 + 95*(0.05) = 99.75 %

Y charges with taxes first, so it the prices increases by a 5% to a total of 105% the list price, and then makes a discount, so the total price is 105-105*0.05 = 99.75%

As a result

x = 99.75%

y = 99.75%

z = 100%

Therefore x=y<z. Option B is the **correct** one

**Answer:**

**Step-by-step explanation:**

One is given the following equation,

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

Simplify,