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satela [25.4K]
3 years ago
15

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6

3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b. Without calculating predict which frame has a shorter width explain your reasoning
Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

Frame A: 6 1/3 inches Frame B: 6 inches

Step-by-step explanation:

Area= length*width

So... 45 / 6 3/4= 6 1/3

45 / 7 1/2= 6

For the prediction you can put... since fram B is a longer length it will have a shorter width than frame A

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One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

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What is the surface area of the figure? width = 4.2 ft length = 7.8 ft height = 2 ft
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On a recent trip to a local orchard, the Morgan family picked four different kinds of apples - Braeburn, Cortland, Fuji, and Rom
ivanzaharov [21]

Answer:

Morgan family picked 144 Braeburn apples, 96 Cortland apples, 72 Fuji apples and 48 Rome apples.

Step-by-step explanation:

Let B, C, F and R represent Braeburn apples, Cortland apples, Fuji apples, and Rome apples respectively.

We have been given that Morgan family picked a total of 360 apples. We can represent this information in an equation as:

B+C+F+R=360...(1)

We are told that Morgan family picked twice as many Braeburn as Fuji. We can represent this information in an equation as:

B=2F...(2)

We are told that Morgan family picked twice as many Cortland as Rome, that is:

C=2R...(3)

We are told that Morgan family picked 50% more Fuji than Rome, that is:

F=1.5R...(4)

Upon substituting equation (4) in equation (2), we will get:

B=2(1.5)R

B=3R

Now, each apple in in terms of Rome apples, so we will get:

3R+2R+1.5R+R=360

Let us solve for R.

7.5R=360

\frac{7.5R}{7.5}=\frac{360}{7.5}

R=48

Therefore, Morgan family picked 48 Rome apples.

Upon substituting R=48 in (3), we will get:

C=2R\Rightarrow 2(48)=96

Therefore, Morgan family picked 96 Cortland apples.

Upon substituting R=48 in (4), we will get:

F=1.5R\Rightarrow 1.5(48)=72

Therefore, Morgan family picked 72 Fuji apples.

Upon substituting F=72 in (2), we will get:

B=2F\Rightarrow 2(72)=144

Therefore, Morgan family picked 144 Braeburn apples.

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