The value of 4 less than the product of 0.25 and x is greater than 6.

Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n

Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is $\frac{5}{8} \frac{in}{ft}$

Part b) The width of the living room in the new blueprint is $9.4\ in$

Step-by-step explanation:

we know that

The scale of the original blueprint is

$\frac{2}{5}\frac{in}{ft}$

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

$\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft$

<em>Find the actual length of the living room, using proportion</em>

$\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft$

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

$\frac{15}{24} \frac{in}{ft}$

simplify

$\frac{5}{8} \frac{in}{ft}$

<em>Find the width of the living room in the new blueprint, using proportion</em>

$\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in$

3 0

3 years ago

PLEASE ANSWER ASAP!!!!!!!

maksim [4K]

A cheesecake has equally sized slices. Each slice is a different flavor. The cheesecake has 12 slices.

<h3>What is the area of the circle?</h3>

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = πr²

In order to calculate the total area of the cheesecake, since it's a circle its area is given by:

cheesecake area = πr²

cheesecake area = π(10/2)² = π(5)²

cheesecake area = 25 π square inches

Therefore the number of slices is the ratio of the cheesecake total area by the area of each slice:

The number of slices = 25 π/(25 π/12)

The number of slices = 12

The cheesecake has 12 slices.

Learn more about circle;

brainly.com/question/12512221

#SPJ1

4 0

1 year ago

What’s the answer to this

Setler [38]

Answer:

The answere is (9,3)

Step-by-step explanation:

first equation

x - 2y = 3

9 - 2(3) = 3

9-6 = 3

3 = 3

second equations

2x - 3y = 9

2(9) - 3(3) = 9

18 - 9 =9

9 = 9

or

x - 2y = 3

x = 2y + 3

2(2y + 3 ) - 3y = 9

4y +6 - 3y = 9

y + 6 = 9

y =3

x - 2(3) = 3

x - 6 =3

x = 9

so (9,3)

i hope this helpful

4 0

3 years ago

Help please if your good at maths ?

Norma-Jean [14]

Answer:

Year 7 = 75 students

Year 9 = 25 students

Step-by-step explanation:

Year 7 has 3/8 of the total since the circle is divided into 8 sections and has 3 of the 8 sections

3/8 * 200 students = 75

Year 9 has 1/8 of the total since the circle is divided into 8 sections and has 1 of the 8 sections

1/8 * 200 =25

3 0

3 years ago

What are the factors of the square root of 329

Andru [333]

Answer: $x=-\dfrac{3}{2}, 7$

Step-by-step explanation:

$2x^2-10x-26=x-5$

$2x^2-10x-26-x+5=0$ Move all terms to one side

$2x^2-11x-21=0$ Simplify $2{x}^{2}-10x-26-x+5$

$2x^2+3x-14x-21=0$ Split the second term

$x(2x+3)-7(2x+3)=0$ Factor out common terms in the first two terms, then in the last two terms.

$(2x+3)(x-7)=0$ Factor out the common term $2x+3$

$x=-\dfrac{3}{2}, 7$

5 0

3 years ago

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