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Blizzard [7]
3 years ago
10

The Singleton family is looking to rent a large truck for their upcoming move. With Erin's Moving, they would pay $41 for the fi

rst day plus $5 per additional day. With Greenpoint Rent-a-Truck, in comparison, the family would pay $31 for the first day plus $7 per additional day. Before deciding on which company to use, Mrs. Singleton wants to find out what number of additional days would make the two choices equivalent with regards to cost. What would the total cost be? How many additional days would that be?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

6days

total cost-$66

additional days-5

Step-by-step explanation:

41+5(x-1)=31+7(x-1)

41+5x-5=31+7x-7

36+5x=24+7x

12=2x

x=6

36+30=66

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How do i get the circumference and area of a circle
Annette [7]
Circumference: C=2pir
C stands for circumference. pi is 3.14... and r is the radius.
of course, you can always do, C=pid. where d is diameter because the radius is half the diameter
Area: A=pir^2
A stands for the Area, pi stands for 3.14... r stands for radius, and the little ^2 is the equation squared. The way to solve that is square the radius and then multiply what you got from squaring the radius by pi.

 DO NOT replace radius with the diameter when trying to find the Area


7 0
3 years ago
Simplify the expression (combine like terms):<br> 6x + 12y + 5 + 2y + 8
ryzh [129]

Answer:

6x + 14y + 13

Step-by-step explanation:

6x + 12y + 5 + 2y + 8 \\(6x ) + (12y + 2y) + (5 + 8) \\ 6x + 14y + 13

4 0
3 years ago
Read 2 more answers
Find a counterexample to show that the conjecture is false. The product of two positive numbers is always greater than either nu
jekas [21]

Answer:

\frac{1}{2}×\frac{1}{4}=\frac{1}{8}

Step-by-step explanation:

This sentence isn't always true.

  • here is a counter example :

The trick is to use fractional numbers .

  • \frac{1}{2} ×\frac{1}{4} = \frac{1}{8}

let's analyse this example :

  • \frac{1}{2}\geq\frac{1}{8}   and  \frac{1}{4}\geq\frac{1}{8}

1/2=0.5 and 1/4=0.25 but 1/8=0.125

0.125<0.25<0.5

  • here is another example : (1/2)*(1/3)=1/6
  • the same thing : 1/6<1/3<1/2
4 0
3 years ago
Please show work for both problems
sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

5x+15=6x-10

Subtracting 5x from both sides, we have

15=x-10

Adding 10 to both sides , we have,

25=x

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

2x+14+x+7=90

Simplifying, we get,

3x+21=90

       3x=69

         x=23

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

2x+14=2(23)+14=46+14=60

Thus, the measure of ∠CBD is 60°

5 0
4 years ago
Trey, Marco and Tina won a cash prize at a talent show. They decided to share the money evenly between them. When trey got home
cupoosta [38]

Answer:

\frac{1}{6} fraction of the total money.

Step-by-step explanation:

Trey, Marco, and Tina won a cash prize at a talent show.

They decided to share the money evenly between them.

So, if the prize money is $x, then each of them gets \frac{x}{3} amounts of money.

Now, Trey gives half of his money to his little sister.

So,  his sister gets \frac{x}{3} \times \frac{1}{2} = \frac{x}{6} amounts of money.

Therefore, Trey keeps for himself \frac{x}{3} - \frac{x}{6} = \frac{x}{6} amounts of money.

So, it is \frac{1}{6} fraction of the total money. (Answer)

3 0
3 years ago
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