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3 years ago

3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

Initially

Ruby: 10 strawberries

Sapphire: 30 strawberries

After x minutes

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

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Find the angle of rotation of a figure that reflected in two lines that intersect to form 66-angle

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66 multiplied by 2 so your answer is 132

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3 years ago

Is it possible to have more than one (x,y)(x,y) pair that is a solution to both equations? Explain or show your reasoning

lesya692 [45]

Answer with step-by-step explanation:

Yes, it is possible to have more that one (x,y) pair because of the distributive property.

6x + 4y = 34. If this is the case, we have to find 2 numbers that sum up to 34.

x = 3

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4 years ago

A student finds the product. Is his answer reasonable? 5,692 x 3 = 17,076 Estimate to check

lora16 [44]

Answer:

His answer is reasonable.

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3 years ago

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The scores on a math test are normally distributed with a mean of 74 and a standard deviation of 8. The test scores range from 0

hram777 [196]

Answer:

The Estimate the number of students who took the scores between 82 and 98 = 16

Step-by-step explanation:

Explanation:-

Given data The scores on a math test are normally distributed with a mean μ = 74

standard deviation of Population

S.D (σ) = 8

Let 'x' be the random variable of Normal distribution

case(i):- when x = 82

$Z = \frac{x-mean}{S.D}$

$Z = \frac{82-74}{8} = 1$

case(ii):- when x = 98

$Z = \frac{x-mean}{S.D}$

$Z = \frac{98-74}{8} = 3$

The probability that test scores between 82 and 98.

P(82≤x≤98) = P(1≤z≤3)

= P(z≤3) - P(z≤1)

= 0.5+A(3)-(0.5+A(1))

= A(3) -A(1)

= 0.4986 - 0.3413

= 0.1573

Final answer:-

The Estimate the number of students who took the scores between 82 and 98

= 100 X 0.1573 = 15.73 ≅16

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3 years ago

According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

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This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

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4 years ago

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