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zubka84 [21]
3 years ago
7

A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T

he student writes this proportion: StartFraction 4 over 6 EndFraction = StartFraction 24 over 16 EndFraction Explain the error in the student's work.
Mathematics
2 answers:
melamori03 [73]3 years ago
6 0

Answer:

Values are switched, ratio should be 16/24

Step-by-step explanation:

The student's ratios are wrong because the values in the right side of the equality are switched, the proposed equality is:

\frac{4\ oranges}{6\ ounces}=\frac{24\ oranges}{16\ ounces}

To find the correct ratio, simply multiply the number of oranges and number of fluid ounces by 4. The correct equality should be:

\frac{4\ oranges}{6\ ounces}=\frac{16\ oranges}{24\ ounces}

The ratio should be 16/24

WITCHER [35]3 years ago
6 0

sample explanation:

The second ratio in the proportion is set up as ounces over oranges. The units should be in the same place in the proportion as the first ratio.

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liraira [26]
1.=9900
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3 0
3 years ago
Delta makes 12-volt car batteries. These batteries are known to be normally
blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let  X₁ = 3 years = 12 × 3 = 36 months

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125

Let X₂ = 4 years  = 12 × 4 = 48 months

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

<em />

5 0
3 years ago
Which real-world story is represented by the addition problem (–2 1/2) + (–3 1/4) = –5 3/4?
allochka39001 [22]

Answer:

A

Step-by-step explanation:

A is the correct answer because the equation matches option A.

(-2 1/2) + (-3 1/4)

The minus sign in -2 1/2 shows that the submarine descended and then descended again with the addition sign. Though the addition sign can mean that it ascended its incorrect.

With the equation in hand, we can prove that option A is correct.

If the submarine descended 2 1/2 miles then here must be a minus sign next to the 2 1/2. But if it ascended then there would've been an addition sign to show that it ascended. The other value - 3 1/4 also shows that it ascended with the help of the addition sign.

Ascends - values increase from smallest to highest.

Descends - values decrease from highest to smallest.

4 0
3 years ago
Triangles 1 and 2 have the angle measures
lawyer [7]

Answer:

C

Step-by-step explanation:

Both triangles have three angles of the same value.

Remember that the angles in all triangles add up to 180°.

Let's use that to find out the unknown angles.

For the first triangle:

180 - 82 - 43 = 55°

55° is also in the second triangle.

Let's check with the second triangle:

180 - 82 - 55 = 43°

43° is also in the first triangle.

Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.

Hence, C.

7 0
3 years ago
Help my friends y'all really are awesome
anyanavicka [17]

Answer:

81

Step-by-step explanation:

u multiply 9 x 9 not 9x2

5 0
3 years ago
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