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The width of a rectangle is 10 feet shorter than its length. The area of the rectangle is 60 square feet. Find the length and width. Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer:

Answer:

length: 14.2 ft; width 4.2 ft.

Step-by-step explanation:

Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...

area = length×width

60 = x(x -10) . . . . . substitute the expressions for area, length, width

60 = x² -10x

85 = x² -10x +25 . . . . add (10/2)² to complete the square

85 = (x -5)² . . . . . . . . . rewrite as a square

√85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem

x = 5 + √85 ≈ 14.2

x-10 = 4.2

The length and width of the rectangle are 14.2 ft and 4.2 ft.

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NEED HELP ASAP!!!!The steps below show the work of a student used to calculate the number of yards in 6,436 meters.(1 mile = 1,609 meters)(1 mile = 1,760 yards)Step 1: 6,436 meters multiplied by conversion factor 1 mile over 1,609 meters equals 4 milesStep 2: conversion factor of 1,760 yards over 1 mile divided by 4 miles equals 440 yardsStep 3: 440 yards(1 mile = 1,609 meters)(1 mile = 1,760 yards)How can the error in the student's work be corrected? (1 point)aThe 6,436 meters and the 1,609 meters in Step 1 should be switched.bThe 1 mile and the 1,609 meters in Step 1 should be switched.cThe conversion factor should be multiplied in Step 2 instead of being divided.dThe conversion factor should be added in Step 2 instead of being divided.
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Solve (3x+7)=4x for x

Answers

Answer:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

a new recipe calls for 1/3 cups sugar and you have 2 1/3 cups in the pantry if you have unlimited supplies of the other ingredients how many recipes could you make? PLS HELP

Answers

Answer:

7 recipes could be made with $2(1)/(3)$ cups of sugar.

Step-by-step explanation:

Quantity of sugar required for a recipe $=(1)/(3)$ cups

Quantity of sugar required in a pantry $=2(1)/(3)$ cups

Here,

$2(1)/(3)=(7)/(3)$

So,

Quantity of sugar required in a pantry $=(7)/(3)$ cups

Number of recipes that could be made $=((7)/(3) )/((1)/(3) ) =7$

Therefore, 7 recipes could be made with $2(1)/(3)$ cups of sugar.

Please answer now please

Answers

You have an answer either way whether it had no solution or infinite

Because either way you still get an answer that defines whether it has infinitely many solutions, or if it has no solution.

Work out please what is it

Answers

Answer:

a.)5/7

b.)1.5 or 1 1/2

c.)1/6

Step-by-step explanation:

a.5/7

b.12/8= 6/4 = 3=2 =

1 and 1/3

c. 4/6-3/6=

1/6

What is the sum of the measures of the interior angles of the stop sign?

Answers

Answer:

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles = (8 -2) * 180 = 1,080

The dimensions of a rectangular flower bed on a sketch are 4 cm by 6 cm. In real life, the shorter side of the flower bed is 5 m. Find the length of the longer side.