4. Mary bought 12 pounds of blueberries to make 5 pies. She divided the blueberries
many pounds of blueberries were in each pie?
2.4 pounds
5. Write each quotient as a fraction or mixed number.
Quot
Problem
4:5
5:4
12:20

Answer:

y = 9

Step-by-step explanation:

-2y + 6 = -12

       -6     -6

-2y = -18

divide both sides by -2

y = 9

Hope this Helps!!!

Answer: y = -3

Step-by-step explanation:

Answer:

x = 1.7

Step-by-step explanation:

Given

-½ + 5x = 8

Required

Find x

-½ + 5x = 8

Multiply both sides by 2

-1 + 10x = 16

Collect like terms

10x = 16 + 1

10x = 17

Divide both sides by 10

x = 1.7

Answer:

8, and 2

Step-by-step explanation:

(btw the three in the question is suppose to be a 2)

but those two are the only ones that you can add and the equation still equal 8.  

<3

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

[tex]x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{1800}\\x=42.4[/tex]

Hence,

The length of side is 42.4 inches.

Your answer is linear.

Answer:

M AED = 32.5º

Explanation:

M AED = 1/2 x (113º - 48º) = 32.5º

This is an example of angles with vertex outside the circle and their arcs. The formula to find the measure of an angle with the vertex outside the circle is 1/2 x (difference of intercepted arcs), in this case it's 1/2 x (113º - 48º), which equals 32.5º.

Answer:

$4.20 / gallon of gas (divide 16.80 by four gallons)

Step-by-step explanation:

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Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when [tex]X = 260[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260 - 270}{21.2}[/tex]

[tex]Z = -0.47[/tex]

[tex]Z = -0.47[/tex] has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Here,

a+b=20

ab=50

we know that,

[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀

According to the question,

[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀

[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀

[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀

[tex]\tt{a^2+b^2=300 }[/tex] ⠀

Answer:

      a² + b² = 300

Step-by-step explanation:

a + b = 20  ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

         a² + b² = 400 - 100

        a² + b² = 300

Answer:

Step-by-step explanation:

Word problem is a topic in mathematics that involves the interpretation of a given question with a mathematical expression so as to determine the value of the required variable.

Example: The price of a pencil is $10, and that of a ruler is $15.25. If Charles bought 5 pencils and 4 rulers, calculate the total amount of money spent.

price of a pencil = $10

price of a ruler = $15.25

Then,

cost of 5 pencils = $10 x 5

                            = $50

cost of 4 rulers = $15.25 x 4

                         = $61

Total amount of money spent by Charles = $50 + $61

                              = $111

The total amount of money spent by Charles is $111.

Answer:

Step-by-step explanation:

Answer:

people who live in a place

Step-by-step explanation:

duh

Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

Answer:

a) The slope (m) of the equation y = x - 5 is 1 and the y-intercept (b) is -5.

b) The slope (m) of the equation 2x + y = 4 is -2 and the y-intercept (b) is 4.

Answer:

The slope = 5

y intercept = 0,0

Explanation:

Use the slope-intercept form

Use the slope-intercept form

y = m x + b to find the slope m and y-intercept b.

Graph:

Answer:

0.0132

Step-by-step explanation:

No

Carbon monoxide concentrations sample in air from a large city are not normally distributed. This is often so because of the time of the day and that of the night. There exists different concentrations during the day, with respect to during the night. The companies and factories work during the day, so does most vehicles. This means that there tend to be a higher concentration during the day, than there will be during the night.

b)

Assuming that Y' is approximately normal, we can say that

P(Y' > 14) = P(Z > [√100(14 - 12)/9]) and this is equal to

P(Z > 2.22) = 0.013

The sum of the series is 5, the correct option is D.

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The summation of the series is obtained by the expression k²-1

For [tex]\sum_{1\to 3} k = k^2 -3[/tex]

By adding the terms of the series

The terms of the series from 1 to 3 is -2, 1, 6

On adding the terms

=>  -2 + 1 +6

= 5

To know more about Geometric Series

https://brainly.com/question/4617980

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Answer:

2x-3y+z

Step-by-step explanation:

-2x-y-2z+4x-2y+3z

combine like terms

-2x+4x= 2x

-y-2y= -3y

-2z+3z= z

so..

2x-3y+z

Answer:

Step-by-step explanation:

  5

3  _

    18

Answer: Can someone please help me on my most recent question?

Step-by-step explanation: Sorry man I dunno how to do this but I need help too

Answer:

18 minutes per lb

Step-by-step explanation:

324 divided by 18 = 18

Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

Answer: it’s at the middle

Step-by-step explanation:

Answer:

Slop is 3/4

Step-by-step explanation:

3x - 4y - 16 = 0

- 4y = -3 x + 16

y= ( -3 / -4 ) x + 16 / ( -4 )

y= (3/4) x - 4

Answer:

the last one is correct if see the commas

Step-by-step explanation:

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Answer:

The answer is 36

Step-by-step explanation:

so the "sum" means to add all of the terms: 1^3+2^3+3^3

1^3 is simply 1

2^3 means 8

3^3 means 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

Answer:

$ 1,732.04

Step-by-step explanation:

A = $1,732.04

I = A - P = $725.04

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 1007(1 + (0.08 × 9)) = 1732.04

A = $1,732.04

The total amount accrued, principal plus interest, from simple interest on a principal of $1,007.00 at a rate of 8% per year for 9 years is $1,732.04.

Answer:

6^22

Step-by-step explanation:

15-(-7) = 22

6^22

Answer:

1679616

Step-by-step explanation: