Solved on Jan 24, 2024

Humpback whale ( $3 \cdot 10^{4} \mathrm{~kg}$ ) vs. tiger shark ( $5.9 \cdot 10^{3} \mathrm{~kg}$ ). Basheera or Elena - which claim is correct?

STEP 1

Assumptions
1. The weight of the humpback whale is $3 \cdot 10^{4} \mathrm{~kg}$ .
2. The weight of the tiger shark is $5.9 \cdot 10^{3} \mathrm{~kg}$ .
3. Basheera claims the humpback whale weighs about 20 times as much as the tiger shark.
4. Elena claims the humpback whale weighs about 5 times as much as the tiger shark.
5. We need to compare the actual weight ratio to the claims made by Basheera and Elena.

STEP 2

Calculate the actual weight ratio of the humpback whale to the tiger shark by dividing the weight of the humpback whale by the weight of the tiger shark.
$Weight\, ratio = \frac{Weight\, of\, humpback\, whale}{Weight\, of\, tiger\, shark}$

STEP 3

Plug in the given values for the weights of the humpback whale and the tiger shark to calculate the weight ratio.
$Weight\, ratio = \frac{3 \cdot 10^{4} \mathrm{~kg}}{5.9 \cdot 10^{3} \mathrm{~kg}}$

STEP 4

Perform the division to find the actual weight ratio.
$Weight\, ratio = \frac{3 \cdot 10^{4}}{5.9 \cdot 10^{3}}$

STEP 5

Since both numbers are powers of 10, we can simplify the ratio by dividing the coefficients and subtracting the exponents of 10.
$Weight\, ratio = \frac{3}{5.9} \cdot 10^{4-3}$

STEP 6

Calculate the simplified weight ratio.
$Weight\, ratio = \frac{3}{5.9} \cdot 10^{1}$

STEP 7

Perform the division of the coefficients.
$Weight\, ratio \approx \frac{3}{6} \cdot 10$

STEP 8

Since $3/6 = 0.5$ , we can further simplify the weight ratio.
$Weight\, ratio \approx 0.5 \cdot 10$

STEP 9

Calculate the final weight ratio.
$Weight\, ratio \approx 5$

STEP 10

Compare the calculated weight ratio to the claims made by Basheera and Elena.
Basheera's claim: 20 times as much Elena's claim: 5 times as much

STEP 11

Since the calculated weight ratio is approximately 5, Elena's claim is correct.
The humpback whale weighs about 5 times as much as the tiger shark.

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Humpback whale ( $3 \cdot 10^{4} \mathrm{~kg}$ ) vs. tiger shark ( $5.9 \cdot 10^{3} \mathrm{~kg}$ ). Basheera or Elena - which claim is correct?

STEP 1

STEP 2

Calculate the actual weight ratio of the humpback whale to the tiger shark by dividing the weight of the humpback whale by the weight of the tiger shark.
$Weight\, ratio = \frac{Weight\, of\, humpback\, whale}{Weight\, of\, tiger\, shark}$

STEP 3

Plug in the given values for the weights of the humpback whale and the tiger shark to calculate the weight ratio.
$Weight\, ratio = \frac{3 \cdot 10^{4} \mathrm{~kg}}{5.9 \cdot 10^{3} \mathrm{~kg}}$

STEP 4

Perform the division to find the actual weight ratio.
$Weight\, ratio = \frac{3 \cdot 10^{4}}{5.9 \cdot 10^{3}}$

STEP 5

Since both numbers are powers of 10, we can simplify the ratio by dividing the coefficients and subtracting the exponents of 10.
$Weight\, ratio = \frac{3}{5.9} \cdot 10^{4-3}$

STEP 6

Calculate the simplified weight ratio.
$Weight\, ratio = \frac{3}{5.9} \cdot 10^{1}$

STEP 7

Perform the division of the coefficients.
$Weight\, ratio \approx \frac{3}{6} \cdot 10$

STEP 8

Since $3/6 = 0.5$ , we can further simplify the weight ratio.
$Weight\, ratio \approx 0.5 \cdot 10$

STEP 9

Calculate the final weight ratio.
$Weight\, ratio \approx 5$

STEP 10

Compare the calculated weight ratio to the claims made by Basheera and Elena.
Basheera's claim: 20 times as much Elena's claim: 5 times as much

STEP 11

Since the calculated weight ratio is approximately 5, Elena's claim is correct.
The humpback whale weighs about 5 times as much as the tiger shark.

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Humpback whale (3⋅104 kg3 \cdot 10^{4} \mathrm{~kg}3⋅104 kg) vs. tiger shark (5.9⋅103 kg5.9 \cdot 10^{3} \mathrm{~kg}5.9⋅103 kg). Basheera or Elena - which claim is correct?

STEP 1

STEP 2

STEP 3

Plug in the given values for the weights of the humpback whale and the tiger shark to calculate the weight ratio.Weight ratio=3⋅104 kg5.9⋅103 kgWeight\, ratio = \frac{3 \cdot 10^{4} \mathrm{~kg}}{5.9 \cdot 10^{3} \mathrm{~kg}}Weightratio=5.9⋅103 kg3⋅104 kg​

STEP 4

Perform the division to find the actual weight ratio.Weight ratio=3⋅1045.9⋅103Weight\, ratio = \frac{3 \cdot 10^{4}}{5.9 \cdot 10^{3}}Weightratio=5.9⋅1033⋅104​

STEP 5

Since both numbers are powers of 10, we can simplify the ratio by dividing the coefficients and subtracting the exponents of 10.Weight ratio=35.9⋅104−3Weight\, ratio = \frac{3}{5.9} \cdot 10^{4-3}Weightratio=5.93​⋅104−3

STEP 6

Calculate the simplified weight ratio.Weight ratio=35.9⋅101Weight\, ratio = \frac{3}{5.9} \cdot 10^{1}Weightratio=5.93​⋅101

STEP 7

Perform the division of the coefficients.Weight ratio≈36⋅10Weight\, ratio \approx \frac{3}{6} \cdot 10Weightratio≈63​⋅10

STEP 8

Since 3/6=0.53/6 = 0.53/6=0.5, we can further simplify the weight ratio.Weight ratio≈0.5⋅10Weight\, ratio \approx 0.5 \cdot 10Weightratio≈0.5⋅10

STEP 9

Calculate the final weight ratio.Weight ratio≈5Weight\, ratio \approx 5Weightratio≈5

STEP 10

Compare the calculated weight ratio to the claims made by Basheera and Elena.Basheera's claim: 20 times as much Elena's claim: 5 times as much

STEP 11

Since the calculated weight ratio is approximately 5, Elena's claim is correct.The humpback whale weighs about 5 times as much as the tiger shark.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Humpback whale ( $3 \cdot 10^{4} \mathrm{~kg}$ ) vs. tiger shark ( $5.9 \cdot 10^{3} \mathrm{~kg}$ ). Basheera or Elena - which claim is correct?

Plug in the given values for the weights of the humpback whale and the tiger shark to calculate the weight ratio.
$Weight\, ratio = \frac{3 \cdot 10^{4} \mathrm{~kg}}{5.9 \cdot 10^{3} \mathrm{~kg}}$

Perform the division to find the actual weight ratio.
$Weight\, ratio = \frac{3 \cdot 10^{4}}{5.9 \cdot 10^{3}}$

Since both numbers are powers of 10, we can simplify the ratio by dividing the coefficients and subtracting the exponents of 10.
$Weight\, ratio = \frac{3}{5.9} \cdot 10^{4-3}$

Calculate the simplified weight ratio.
$Weight\, ratio = \frac{3}{5.9} \cdot 10^{1}$

Perform the division of the coefficients.
$Weight\, ratio \approx \frac{3}{6} \cdot 10$

Since $3/6 = 0.5$ , we can further simplify the weight ratio.
$Weight\, ratio \approx 0.5 \cdot 10$

Calculate the final weight ratio.
$Weight\, ratio \approx 5$

Compare the calculated weight ratio to the claims made by Basheera and Elena.
Basheera's claim: 20 times as much Elena's claim: 5 times as much

Since the calculated weight ratio is approximately 5, Elena's claim is correct.
The humpback whale weighs about 5 times as much as the tiger shark.