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With this question

Answer:

42 ice creams in a waffle cone

Step-by-step explanation:

First we try to find how many ice cream does Mr. Moore has:

4*15=60 ice cream

It is said it 70% of these ice creams are in waffle cones. So 60*70/100= 60*7/10=6*7=42 ice creams in a waffle cone.

Answer: 10 packets

Step-by-step explanation:

There is 4 quarts needed to make 1 gallon

20 quarts for 5 gallons

1 packet=2 quarts

10 packets=20 quarts

Answer:

10 packets for 5gallons

Step-by-step explanation:

There is 4 quarts needed to make 1 gallon

20 quarts for 5 gallons

1 packet=2 quarts

10 packets=20 quarts

The result of the division in ordinary decimal notation is 300.

Scientific notation, also known as standard form or exponential notation, is a method of expressing very large or very small numbers in a compact and standardized way.

To perform the indicated operation, we need to divide 0.00036 by 0.0000012.

First, let's express both numbers in scientific notation

0.00036 = 3.6 x 10^(-4)

0.0000012 = 1.2 x 10^(-6)

Now we can divide the two numbers and simplify

3.6 x 10^(-4) / 1.2 x 10^(-6) = (3.6 / 1.2) x 10^(-4-(-6)) = 3 x 10^(2)

Finally, we can convert this result back to ordinary decimal notation

3 x 10^(2) = 300

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The given question is incomplete, the complete question is:

Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation. 0.00036/0.0000012

Answer:

86.4 ft^2

Step-by-step explanation:

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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Step-by-step explanation:

multiply them for example 12 times 16 equal 192m

The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

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-56x + 49y= -14

- 56x + 56y=64

105y=50

y=0.48

-8x+7(0.48)=-2

-8x+3.36=-2

-8x=-5.36

x=0.67

Answer:

(x, y) = (9, 10)

Step-by-step explanation:

-8x + 7y = -2...... (1)

- 8x + 8y = 8......(2)

Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:

-64x + 56y = - 16...(3)

-56x + 56y = 56.....(4)

Subtracting equation (4) from equation (3), we find:

-64x + 56y = - 16

-56x + 56y = 56

+ - -

_____________

- 8x = - 72

x = - 72/-8

x = 9

Substituting x = 9 in equation (1), we find:

-8(9) +7y = - 2

-72 +7y = - 2

7y = 72 - 2

7y = 70

y = 70/7

y = 10

(x, y) = (9, 10)

Answer: $2.50

$10.00 per 4 liters

10/4=2.5

I hope this is good enough:

Answer:  because i just want points and 1 +2= 3

Step-by-step explanation: because  if u add 2 with 1 u will get 3

Answer:

Given:

⇒ \frac{23}{2^2(5)}

2

2

(5)

23

To Find:

Expansion of the given number = ?

Solution:

⇒ \frac{23}{2^2(5)}

2

2

(5)

23

By opening the squares, we get

⇒ \frac{23}{2\times 2\times 5}

2×2×5

23

⇒ \frac{23}{4\times 5}

4×5

23

⇒ \frac{23}{20}

20

23

⇒ 1.151.15

Answer:

112

Step-by-step explanation:

Difference between each 4,8,7,5,1

Add numbers next to each other in pairs = 12

So 12-1= 11 and

101+11=112

x = -9 or x=12

1) Solving this absolute value equation requires knowing the properties

|a| =b, and |a| = -b

2)

|2x -3|-4 = 17 Adding 4 to both sides

|2x -3| = 21 Applying the property to remove the bars

2x -3 = 21

2x =24

x=12

|2x -3| = 21 Applying the property to remove the bars

2x -3 = -21 Adding 3 to both sides

2x = -21+3

2x= -18 Dividing both sides by 2

x=-9

3) So the solution is x=12 or x = -9

Hey there!

2/3 + 1/4
= 2 × 4/3 × 4 + 1 × 3/4 × 3

= 8/12 + 3/12

= 8 + 3 / 12 + 0

= 8 + 3 / 12

= 11/12

Therefore, your answer is: 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$45

Step-by-step explanation:

If the original price was $200 you subtract by 40%. After that you subtract it again by $75 and get the cost of how much she will need to pay.

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

(a) 3 (b) 1/3

Step-by-step explanation:

The probability is defined as the ratio  of number of elements in event to the number of elements in sample space.

(a) As the total number of child is 3, so the number of elements in sample space = 3

(b) The sample space is { boy, boy, girl}

So, the probability is 1/3.  

Answer:

y = 50x

Step-by-step explanation:

Answer:

hold shift then press the lil right  arrow next to the question mark

Step-by-step explanation:

Answer:

shift  +  >

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation :

we know equation of  a line y=mx+c

The points are 7,2 and 9,3 .therefore the equation of the lines will be

2=7m+c           (i)

3=9m+c           (ii)

so we will subtract eq(i) from (ii)

3=9m+c

2=7m+c

_    _  _

----------------

1=2m

---------------

Thus m= 1/2 or 0.5.

Therefore slope btween the two points is 0.5

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Answer:

According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.

Step-by-step explanation:

Answer:

6.75 miles

Step-by-step explanation:

1.6 km = 1 mile

   1 km = 1/1.6  mile

10.8 km = \(\frac{1}{1.6}*10.8\)

             = 6.75 miles

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

3/2= 1 1/2

Step-by-step explanation:

simply 3/2 as a decimal

Answer:39

Step-by-step explanation: yes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

diagram

Step 02:

congruent triangles:

ASA: angle-side-angle

Criteria: if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent.

That is the full solution.

Answer:

\(\frac{623}{8}\)

Step-by-step explanation:

\(\frac{78.875x1000}{1 x 1000} =\frac{77875}{1000}\)\(= \frac{623}{8}\)

Answer:

623/8

Step-by-step explanation:

steps to convert decimal into fraction

Write 77.875 as  

77.875

1

Multiply both numerator and denominator by 10 for every number after the decimal point

77.875 × 1000

1 × 1000

=  

77875

1000

Reducing the fraction gives

623

8

The exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

Given that sec(θ) = -8 and sin(θ) > 0, we can find the exact values of the remaining trigonometric functions using the Pythagorean identity:

sec^2(θ) = 1/sin^2(θ)

Substituting the value of sec(θ), we have:

(-8)^2 = 1/sin^2(θ)

64 = 1/sin^2(θ)

sin^2(θ) = 1/64

sin(θ) = ±√(1/64)

Since sin(θ) > 0, we take the positive square root:

sin(θ) = √(1/64)

Next, we use the reciprocal identity for cosecant:

csc(θ) = 1/sin(θ)

Substituting the value of sin(θ), we have:

csc(θ) = 1/√(1/64) = 8√(1/64) = 8/√(64) = 8/8 = 1

Next, we use the reciprocal identity for cotangent:

cot(θ) = 1/tan(θ)

We can find the value of tan(θ) using the definition:

tan(θ) = sin(θ) / cos(θ)

Substituting the values of sin(θ) and cos(θ), we have:

tan(θ) = √(1/64) / (-8) = -√(1/64) / 8

Finally, we use the reciprocal identity for a tangent:

tan(θ) = 1/cot(θ)

Substituting the value of cot(θ), we have:

tan(θ) = -8√(1/64)

Therefore, the exact values of the remaining trigonometric functions of θ are:

sin(θ) = √(1/64)

cos(θ) = -8

tan(θ) = -8√(1/64)

csc(θ) = 1

cot(θ) = -√(1/64) / 8

The complete question is:-

Find the exact value of each of the remaining trigonometric functions of

θ. Rationalize denominators when applicable.

secθ=−8, given that sinθ>0

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if f(x) = x^2 -16 and you need to solve f(x) = 9, then your equation is:

     x^2 - 16 = 9

This is solved as follows:

    x^2 = 25

        x = ± 5

The answer is D.