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Kazeer [188]
3 years ago
15

Rory is driving 584 miles to a family reunion. She will drive 300 miles by herself the first day. The second day Rory and her co

usin will share the driving equally. How many miles will her cousin drive? Write an equation to solve. Use a variable for the unknown and show your work and explain your work.
Mathematics
1 answer:
Liula [17]3 years ago
6 0
To find out how many miles Rory's cousin will drive, we need to subtract the amount of miles that Rory drove the first day all by herself.

584 - 300 = 284

Then, we know that Rory's cousin split the distance with Rory evenly the remaining amount, so we can just divide by 2 to find out how far her cousin drove.

284 / 2 = 142

Rory's cousin drove 142 miles. 
Hope that helped =)
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The surface area S , of a right rectangular prism with length l , width w ,and height h can be found using the formula below
Yakvenalex [24]
First, replace all variables with the given values.
12(9) + 9(2) + 2(12) 
This should then equal 150, then the formula says to multiply this answer by 2. Doing so, should give a final answer of 300.

3 0
3 years ago
At a real estate​ agency, an agent sold a house for ​$360,000. The commission rate is 25% for the real estate agency and the com
Orlov [11]

Answer: See explanation

Step-by-step explanation:

a. The amount that the agency make on the​ house will be 25% of $360,000. This will be:

= 25% × $360,000

= 25/100 × $360,000

= 0.25 × $360,000

= $90,000

b. The amount that the agent earn in​ commission will be:

= 30% × $90,000

= 30/100 × $90,000

= 0.3 × $90,000

= $27,000

3 0
3 years ago
Which of the following pairs represent a function ​
denis23 [38]

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} are the ordered pairs represents a function.

Explanation:

Given that the options of the set of ordered pairs.

We need to determine the ordered pairs that represents a function.

Option A: \{(-12,8),(-15,8),(-5,-8),(-12,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.

Thus, the ordered pairs \{(-12,8),(-15,8),(-5,-8),(-12,-8)\} is not a function.

Hence, Option A is not the correct answer.

Option B: \{(8,-9),(-8,-5),(8,-7),(-8,-6)\}

From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.

Thus, the ordered pairs \{(8,-9),(-8,-5),(8,-7),(-8,-6)\} is not a function.

Hence, Option B is not the correct answer.

Option C: \{(13,-3),(13,0),(13,-1),(13,-1)\}

From this set of ordered pairs, it is obvious that the element 13 of x is related to three different element in y.

Thus, the ordered pairs \{(13,-3),(13,0),(13,-1),(13,-1)\} is not a function.

Hence, Option C is not the correct answer.

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.

Thus, the ordered pairs \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} is a function.

Hence, Option D is the correct answer.

7 0
3 years ago
un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar
seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo

10cm * 4cm = 40cm^{2}

el cuadrado de 2cm tendra un area de

2cm * 2cm = 4cm^{2}

Ahora simplemente dividimos el area del rectangulo por el area del cuadrado para saber cuantos cuadrados necesitamos para armar ese rectangulo

40cm^{2} / 4cm^{2} = 10 cuadrados

3 0
3 years ago
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fenix001 [56]

Answer: The quotient is (2x+1)

Step-by-step explanation:

Here, the dividend =  6x^3+3x^2-5

Divisor = (3x^2+1)

By the long division method for finding the quotient we will follow the following steps,

Steps 1 : Write dividend inside the division sign and divisor outside the division sign,

Step 2: Multiply the divisor by 2x and subtract the result by the dividend,

Step 3: Now, again multiply the divisor by 1,

Step 4: Subtract the result by the remaining dividend,

Since, further division is not possible,

Hence, the sum of all terms that are multiplied = 2x+1

Which is our quotient.

4 0
4 years ago
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