If 4.3 plus 1.1 times a number equals the sum of the number and 37.6 what is the number

Un jardín rectangular de 50 cm de largo por 34 m de ancho está rodeado por un camino de arena uniforme.Halla la anchura de dicho

Anastasy [175]

Answer:

5.85 m

Step-by-step explanation:

The width of the sand road can be calculated knowing its area and the dimensions of the rectangular garden as follows:

$A_{g} = a.b$

<u>Where:</u>

Ag: is the area of the rectangular garden

a: is the length of the rectangular garden = 50 cm = 0.5 m

b: is the width of the rectangular garden = 34 m

$A_{s} = 540 m^{2}$

<u>Where</u>:

As: is the area of the sand road

The relation between the area of the sand road and the area of the rectangular garden is the following:

$A_{s} + A_{g} = (a+2x)*(b+2x)$

$540 m^{2} + 0.5m*34m = ab + 2ax + 2bx + 4x^{2}$

$557 m^{2} = ab + 2x(a + b) + 4x^{2}$

$557 m^{2} - 17m^{2} - 2x(34.5 m) - 4x^{2} = 0$

$540 - 69x - 4x^{2} = 0$

By solving the above equation for x we have two solutions:

x₁ = -23.10 m

x₂ = 5.85 m

Taking the positive value, we have that the width of the sand road is 5.85 m.

I hope it helps you!

7 0

3 years ago

What’s the answer for x??

zubka84 [21]

Answer:

3x+85= 21

or, 3x= 85- 21

or, 3x= 64

or,x= 64/3

;. x= 21.3

Step-by-step explanation:

the value of x is 21.3

8 0

3 years ago

Daniella made gift bows from 8 yards of ribbon. The bows are all the same size. If she made 16 bows, how much ribbon did she use

solniwko [45]

Answer:

1.5 feet

Step-by-step explanation:

there are three feet in a yard, so 8*3= 24, and 24/16=1.5 feet of ribbon used for each bow

4 0

3 years ago

I have a two digit number the sum of the digits is 12 the first digit is 4 Less Than 3 times the second what is my number

nignag [31]

Answer:

84

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12 Combine the left side

4y - 4 = 12 Add 4 to both sides

4y = 16 Divide by 4

4y/4 = 16/4

y = 4

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

3 0

2 years ago

The sign below is located at the start of Pinecone trail and shows the distances from the sign to different points of interest a

schepotkina [342]

Answer:

Total distance = 53/4 miles = 13.25 miles

Step-by-step explanation:

Sage hiked from the start of the trail to Lookout Point.

Distance = 8 3/4 miles = 35/4 miles

She then hiked back to Giant Boulder

This means she traveled an additional

8 3/4 miles - 4 1/4 miles = 35/4 mi - 17/4 mi = 18/4 mi = 9/2 mi

The total distance traveled by sage is the sum of both trajectories

Total distance = 35/4 miles + 9/2 miles = 53/4 miles

Total distance = 13.25 miles

8 0

2 years ago