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2 years ago

Iris wants to a buy a new pair of shoes that costs $30. She thinks that she can save $5 each week. How

Mathematics

1 answer:

STALIN [3.7K]2 years ago

6 0

Answer:

The answer is 6 weeks

Step-by-step explanation:

To find the number of weeks she needs to save for we need to divide 30 by 5. 30÷5 = 6

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A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

$Volume=\pi r^2\frac{h}{3}$

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

7 0

3 years ago

The length of a rectangle is 3ft more than twice the width, and the area of the rectangle is 54ft^2. Find the dimensions of the

777dan777 [17]

Answer: Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2 and x = -6

x = 4.5 and x = -6

We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Y=-7x+4 Y=3/8x+-4 Y=16x+-1/5

zavuch27 [327]

Answer:

y = -7x +4
y = 3/8x - 3
y = 16x -1/5

5 0

4 years ago

A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Ronch [10]

Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
$45^{2} = s^{2}+ s^{2}$
$45^{2} = 2s^{2}$
$45^{2} = 2s^{2}$
$1012.5 = s^{2}$
$s=31.82$

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
$\frac{31.82}{5x} = \frac{45}{y}$
$y=7.07x$

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
$(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}$
$50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}$
$0= -21x^{2}-127.28x+1012.5$
$x=4.55,-10.61$

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0

3 years ago

HELP PLEASE

Fiesta28 [93]

The correct point of the graph would be B. (2,-5)

8 0

3 years ago

Read 2 more answers