Randy bought 3 sub sandwiches and a hamburger for a total of $27.50.The hamburger cost $5.75.
The sub sandwiches each cost the same amount.
What amount did Randy pay for each sub sandwich?

Answers

Answer 1

Answer:

After using linear equation - Randy paid $7.25 for each sub sandwich.

What are linear equations with one variable?

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 4x+4=8 only has one variable.

we are given that,

cost of one hamburger = $5.75

let us assume the cost of one sub sandwich to be $x

thus the cost of three sub sandwiches will be $3x.

we know his total came out to be $27.50

therefore,

we are given that

cost of one hamburger + 3 sub sandwiches = $27.50

= 5.75 + 3x = 27.50

= 3x = 27.50 - 5.75

= 3x = 21.75

= x = 21.75/3

= x = $7.25

thus we know that one sub sandwich costs randy $7.25.

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Arliss has two pieces of carpet runner. One is yards long and the other is yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?

Answers

Given:
10 yards required
5 2/3 yards on hand.

We need to subtract the yards on hand from the total yards required.

First, we need to convert the mixed fraction into an improper fraction.

5 2/3 = ((5*3)+2)/3 = (15+2)/3 = 17/3

Second, we need to multiply 10 by a fraction that will give us the denominator of 3.

10 * 3/3 = (10*3)/3 = 30/3

Third, we do subtraction using our derived fractions.

30/3 - 17/3 = (30-17)/3 = 13/3

Lastly, we simplify the improper fraction. Improper fraction is a fraction whose numerator is greater than its denominator. Its simplified form is a mixed fraction.

13/3 = 4 1/3

Arliss needs to buy 4 1/3 yards more to complete the required yard length.

Answer: 41/3

Step-by-step explanation:

A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from the point (3,7) to the point (8,8), with distance measured in feet. Find the work done by the force in foot-pounds.

Answers

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

$\theta=42^(\circ)$

Let Point A (3,7) and point B(8,8)

We have to find the work done by the force.

$d=<(8-3)+(8-7)>=<5,1>$

$r=\mid d\mid=√(x^2+y^2)=√(5^2+1^2)=√(26)$ feet

We know that Work done by the force

$W=Frcos\theta$

Substitute the values

$W=3* √(26)cos42=11.37 lb-ft$

Hence, the work done by the force =11.37 lb-ft

Final answer:

The work done by a force of 3 pounds moving an object along a straight line from point (3,7) to (8,8) at an angle of 42 degrees with the horizontal is calculated to be approximately 11.7 foot-pounds.

Explanation:

The student's question relates to the concept of work done by a force. According to the equation for work, W = Fd cos θ, the work done by a force is the product of the magnitude of the force, the distance over which it acts and the cosine of the angle between the force and the displacement vectors. In this case, the force is 3 pounds, the displacement can be calculated using Pythagorean theorem from the points (3,7) to (8,8) yielding approximately 5.1 feet, and the angle with the horizontal is 42 degrees. Using these values, the work done can be calculated as:

W = 3 pounds * 5.1 feet * cos(42 degrees) = approximately 11.7 foot-pounds

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51 participants went on the 7th grade field trip to the national history museum.2/3 of them rode on a large bus.The rest went in a van. How many were in each vehicle

Answers

51 ÷ 3 = 17
17 were in the van
51 - 17 = 34
34 were in the bus

Hello!,

First: 51÷1/3 would be 17

So 17 kids were in each vehicle!

Write an expression that represents the volume of a rectangular prism (box) with length 2003-02-02-00-00_files/i0260000.jpg, width 2003-02-02-00-00_files/i0260001.jpg, and height 5x. (For any rectangular prism with length l, width w, and height h, V = lwh.)

Answers

h=5 in

w-6 in

l=12 in

SA/V=2*12*6+2*6*5+2*12*5/12*6*5

817:180

This is just an example do not use this exact equation and number! Hope it helps. : )

Please Help I Have No Idea What They Talking Bout Which level does macroeconomics focus on?
A. personal
B. business
C. government

Answers

Macroeconomics focuses on C) government level.
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets.

Answer:

C. government

Step-by-step explanation:

9/35 x 7/16 x 20/21 =

show work

Answers

$(9)/(35)\cdot(\not7^1)/(16)\cdot(20)/(\not21_3)=(9)/(35)\cdot(1)/(\not16_4)\cdot(\not20^5)/(3)=(\not9^3)/(35)\cdot(1)/(4)\cdot(5)/(\not3_1)=(3)/(\not35_7)\cdot(1)/(4)\cdot(\not5^1)/(1)\n\n=(3)/(7)\cdot(1)/(4)\cdot(1)/(1)=(3\cdot1\cdot1)/(7\cdot4\cdot1)=(3)/(28)$