A car is 180 inches long. A truck is 75% longer than the car.

Evaluate x+3 squared by 2 - 6 when x = 4

Alisiya [41]

Answer:

43

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

Identify.

(x + 3)² - 6

x = 4

Step 2: Evaluate

Follow Order of Operations.

Substitute in x [Equation]: (4 + 3)² - 6
(Parenthesis) Add: 7² - 6
Exponents: 49 - 6
Subtract: 43

6 0

2 years ago

Read 2 more answers

Ms.Lopez has created a floor plan of a dollhouse. The area of the entire dollhouse is 576 square inches

harina [27]

Answer:

(a)Area of the bedroom=96 square inches

(b)Area of the living room =144 square inches

(c)Area of the dollhouse that is not of the bedroom or living room =336 square inches.

Step-by-step explanation:

The area of the bedroom is 1/6 the area of the entire dollhouse

The area of the living room is 3/2 times the area of the bedroom.

The area of the entire dollhouse is 576 square inches

Let the area of bedroom=b

Let the area of living room=l

(a) The area of the bedroom is 1/6 the area of the entire dollhouse

$b=\frac{1}{6}X576=96$ square inches

(b)The area, in square inches, of the living room

The area of the living room is 3/2 times the area of the bedroom

l= $\frac{3}{2}X96=144$ square inches

(c)The total area of the house =576 square inches

Area of the bedroom=96 square inches

Area of the living room =144 square inches

Area of the dollhouse that is not of the bedroom or living room

=576-(96+144)=576-240=336 square inches.

The area of the living room is 3/2 times the area of the bedroom

This is gotten by subtracting the area of the bedroom and living room from the total area of the house.

3 0

3 years ago

Estimate the sum of 196 + 482

pshichka [43]

The estimated sum of 196 and 482 is 700.

We do estimates when we do mental calculation. We relate the number to the nearest number that can easily be computed mentally.

196 is near 200 so we round it up to 200
482 is near 500 so we round it up to 500

Thus, 200 + 500 = 700.

700 is the estimated sum.

5 0

3 years ago

Read 2 more answers

A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the p

Allisa [31]

Step-by-step explanation:

Given

$q + p = 2(q - p)$

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

$qp = 675$

as equation 2.

Using equation 2,

$q = \frac{675}{p}$

substitute this equation into equation 1.

$\frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15$