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notka56 [123]
3 years ago
13

sophina bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is

at least 6 inches and at mist 12 inches. if she uses all the trim, what are the possible dimension of her scarf?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0
I think its 3 well sorry if i'm wrong but that my best estimate
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A pet store sells goldfish and hermit crabs,
Elis [28]

Answer:

Cost = \$28

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

7g + 3h = 26

The second statement, we have:

4g + 5h = 28

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

7g + 3h = 26 --- (1)

4g + 5h = 28 --- (2)

Make g the subject in (2)

4g + 5h = 28

4g = 28 - 5h

Divide both sides by 4

g = \frac{1}{4}(28 - 5h)

Substitute \frac{1}{4}(28 - 5h) for g in (1)

7g + 3h = 26

7(\frac{1}{4}(28 - 5h)) + 3h = 26

\frac{7}{4}(28 - 5h) + 3h = 26

Multiply through by 4

4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4

7(28 - 5h) + 4*3h = 26*4

Open bracket

196 - 35h + 12h = 104

196 -23h = 104

Collect Like Terms

-23h = 104-196

-23h = -92

Make h the subject

h = \frac{-92}{-23}

h = \frac{92}{23}

h = 4

Substitute 4 for h in g = \frac{1}{4}(28 - 5h)

g = \frac{1}{4}(28 - 5*4)

g = \frac{1}{4}(28 - 20)

g = \frac{1}{4}(8)

g = 2

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

Cost = 6g + 4h

Cost = 6*\$2 + 4*\$4

Cost = \$12 + \$16

Cost = \$28

5 0
3 years ago
I need helpPlease and Fast!<br><br> What is the distance between (-3, -2) and (5, 4)?
nexus9112 [7]
Using the Pythagorean Theorem, we can tell that there is 10 units between the two points. 
7 0
3 years ago
1 Sandwich cost: £1.10, 1 coffee cost: £ 0.50, 1 tea cost: £0.30, 1 soft drink cost: £0.60. On Friday Will made a profit of £43.
n200080 [17]
I think it’s 37 sandwiches if he only sold sandwiches
3 0
3 years ago
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an
fiasKO [112]
<h3><u>Question:</u></h3>

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units.

The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

<h3><u>Answer:</u></h3>

Dimensions of cylinder A are multiplied by \frac{3}{2}  to produce the corresponding dimensions of cylinder B

<h3><u>Solution:</u></h3>

Cylinders A and B are similar solids.

The base of cylinder A has a circumference of 4 \pi units

The base of cylinder B has an area of 9 \pi units

Let "x" be the required factor

From given question,

Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B

Therefore, we can say,

\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }

<h3><u>Cylinder A:</u></h3>

The circumference of base of cylinder (circle ) is given as:

C = 2 \pi r

Where "r" is the radius of circle

Given that  base of cylinder A has a circumference of 4 \pi units

Therefore,

4 \pi = 2 \pi r\\\\r = 2

Thus the dimension of cylinder A is radius = 2 units

<h3><u>Cylinder B:</u></h3>

The area of base of cylinder (circle) is given as:

A = \pi r^2

Given that,  the base of cylinder B has an area of 9 \pi units

Therefore,

\pi r^2 = 9 \pi\\\\r^2 = 9\\\\r = 3

Thus the dimension of cylinder B is radius = 3 units

\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }\\\\2 \times x = 3\\\\x = \frac{3}{2}

Thus dimensions of cylinder A are multiplied by \frac{3}{2}  to produce the corresponding dimensions of cylinder B

5 0
3 years ago
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likehood of the event occurrin
ELEN [110]
Likely best describes the likelihood of the probability 2/3.  It is not completely certain, nor is it unlikely, and it definitely cannot be impossible.
4 0
3 years ago
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