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Misha Larkins [42]
3 years ago
6

Nancy and Kevin collect coins. Nancy has x coins. Kevin has 8 coins fewer than 2 times the number of coins Nancy has. Write and

simplify an expression for the total number of coins Nancy and Kevin have.
Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

2x+x-8

Step-by-step explanation:

Kevin is 2x-8

Nancy is x

2x-8+x

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the mean height of the 30 children in a room is 76 cm james whose height is 107 cm went into the room what is the new mean of th
Snezhnost [94]

Answer:

The new mean is 77cm

Step-by-step explanation:

If the mean height of the 30 children in a room is 76 cm, then the sum of their ages is

30 \times 76 = 2280cm

If James with height 107cm joins them, then the total number of children now becomes 30+1=31 and the total height becomes: 2280cm+107cm=2387cm

The new mean now becomes:

\bar x =  \frac{2387}{31}  = 77cm

4 0
3 years ago
a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s
vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

4 0
3 years ago
The amount of time it takes to cook a turkey increases with the weight of the turkey. it is recommended that you cook a 10-lb tu
nadezda [96]
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.

Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey

Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Hope this helps :)



3 0
3 years ago
Read 2 more answers
☆pls help no one has helped me and I'm so confused! ​
motikmotik

Answer:

Step-by-step explanation:

a). \frac{5\pm\sqrt{-4}}{3} = \frac{5}{3}\pm \frac{\sqrt{-4}}{3}

               = \frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}

               = \frac{5}{3}\pm\frac{2i}{3} [Since, i = \sqrt{(-1)}]

b). \frac{10\pm\sqrt{-16}}{2} = \frac{10}{2}\pm \frac{\sqrt{-16}}{2}

                  = 5\pm \frac{4\sqrt{-1}}{2}

                  = 5 ± 2i [Since, i = \sqrt{(-1)}]

c). \frac{-3\pm \sqrt{-144}}{6} = -\frac{3}{6}\pm \frac{\sqrt{-144}}{6}

                    = -\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}

                    = -\frac{1}{2}\pm 2\sqrt{-1}

                    = -\frac{1}{2}\pm 2i [Since, i = \sqrt{(-1)}]

4 0
2 years ago
if you have an accurate, complete scale drawing and the scale, which measurements of the objects of the drawing can you find
devlian [24]
Do you have answer choices?
7 0
3 years ago
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