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Elden [556K]
4 years ago
14

What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"

Mathematics
1 answer:
Marat540 [252]4 years ago
6 0
1. B
2. C
There you go! :)
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Find an ordered pair that satisfies both of the equations below.
liraira [26]

Answer: (x, y) = (2, 3)

This is the system of equations 2x - 3y = -5, 5x - 2y = 4. Multiply the first equation by 2 and the second equation by 3 to get 4x - 6y = -10, 15x - 6y = 12. Now we can use elimination: subtract the equations to get -11x = -22, so x = 2. 2x - 3y = 2(2) - 3y = 4 - 3y = -5, so 3y = 9 and y = 3. The solution is (2, 3).

i hope this helped! :D

4 0
3 years ago
A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation 3. 00 0. 50 m = 9. 5
Sliva [168]

The statement, which shows the meaning of the taxi driver’s equation for the mileage and fee formula are statement B and E.

<h3>What is linear equation or formula?</h3>

Linear equation or formula is the equation in which the highest power of the unknown variable is one.

Given information-

The formula equation for the mileage is,

3.00+0.50m=9.50

In the above formula the term <em>m </em>represents the number of miles traveled.

This formula written by the taxi driver shows the relation between the mileage and fee for his last customer. Using this expression the number of miles can be calculated as,

3.00+0.50m=9.50

Subtract with 3 both the sides,

0.50m=9.50-3.00\\0.50m=6.50

Divide by number 0.5 both the sides,

m=\dfrac{6.5}{0.5}\\m=13

Thus, his last costumer traveled 13 miles.

The 13 times 0.5 plus $3 is equal to the $9.50 which means nine dollars and fifty cents. Thus the option B is the correct option.

The number of miles traveled by customer is 13 miles. 13 miles of 50 cent  is equal to $6.5. If we add three dollars in it the result will be equal to the nine dollars and fifty cents. Thus the option E is correct.

Hence, the statement, which shows the meaning of the driver’s equation, are,

  • B) Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
  • E) The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Learn more about the linear equation here;

brainly.com/question/14323743

3 0
2 years ago
A birthday cake in the shape of a circle needs to be decorated with icing. If the diameter of the cake is 5 inches, how much ici
Dmitry [639]
<h2>19.63495408 inches²</h2>

Area of a circle = πr²

Diameter = 5

The radius is half the diameter.

Radius = 2.5

π × 2.5² = 19.63495408

6 0
3 years ago
Math Problem: Convert
Sever21 [200]

Answer:

135°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × \frac{180}{\pi }

Thus for \frac{3\pi }{4}

degree = \frac{3\pi }{4} × \frac{180}{\pi } ( cancel the π  )

            = \frac{3(180)}{4}

            = \frac{540}{4}

            = 135°

3 0
3 years ago
Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
goldenfox [79]

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

7 0
3 years ago
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