Ami and Josh use a calculator to work out 595/4.08² + 5.3

Ami’s answer is 27.1115

Josh’s answer is 271.115

One of these answers is correct.

Use approximations to find out which answer is correct.

Answer: a=101 b=79 c=83 d=97

B - Algebra

To be honest, this is a weird question

Using simple Subtraction, following is the required data.

point A always begins at 45 and point B at 69,

b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)

c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)

D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)

e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.

f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.​

We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.

Subtraction can be applied in a variety of real-world situations.

Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.

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The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

hope it help

Answer:

Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance

the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).

In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).

In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.

To simplify a rational expression, follow these steps:

Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).

Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.

Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:

\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)

Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.

It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.

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The perimeter of the triangle is 28 cm. The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the length of the sides.

Let the two sides of the right triangle be x and x+2

Apply the Pythagorean Theorem:

(x)^2 + (x + 2)^2 = 24

x^2 + x^2 + 4x + 4 = 24

2x^2 + 4x = 20

2x(x + 2) = 20

x(x + 2) = 10

x = 5 and x + 2 = 7

Therefore the perimeter of the triangle is 5 + 7 + 7 = 19 cm.

The perimeter of the triangle is 28 cm.

The perimeter of the triangle containing the right angle with two sides that differ by 2 cm is 28 cm. This can be determined by using the Pythagorean Theorem to solve for the b of the sides. The equation 2x(x + 2) = 20 can be used to solve for x, which is equal to 5. Therefore, the two sides of the triangle are 5 cm and 7 cm. Adding these lengths together, the perimeter of the triangle is 5 + 7 + 7 = 28 cm.

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The constraint w1 w2 w3 < 1, where w1, w2, and w3 are 0-1 integer variables, is often called a packing constraint. The packing constraint w1 w2 w3 < 1 limits the number of variables that can be set to 1 and is used to control the number of items that can be selected in integer programming problems.

A packing constraint is a type of constraint used in integer programming that limits the number of items that can be selected from a set of items. In this case, the constraint limits the number of variables that can take the value 1 to be less than 1.

The term "packing" comes from the idea of packing items into a container. In the context of integer programming, packing constraints are used to limit the number of items that can be "packed" into a container (i.e., set to 1), while ensuring that the total value of the packed items meets certain requirements or constraints.

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Answer:

she applied the reflection to the triangle first

she changed the size of the triangle instead of just applying a translation

Step-by-step explanation:

...

Answer:

2 & 3

Step-by-step explanation:

She applied the reflection to the triangle first.

She changed the size of the triangle instead of just applying a translation.

Answer:

34.25

Step-by-step explanation:

Answer:4.5 + 19.75 = 24.25

Step-by-step explanation:

Plug in 5 at the bottom fpr the answer because we know we don't have to add anything else to that. Now move to 7 and blank. Since its addition we knkw we have to make it to were we carry a number since we can't get 2 any other way. So 7+5 equals 12 so carry your one over. 9+4+1 equals 14 and then from there you carry the one over again. Since you know you already have one therw and you are trying to get two that blank space will be a one as well since 1+1 equals 2.

Answer:

0.0016

Explanation:

Decimal notation: 0.0016

No. of significant figures: 2

No. of decimals: 4

Scientific notation: 1.6 × 10-3  

Steps:

#1: 0.001625 (the original number has 4 sig figs)

#2: 0.0016 (rounded to 2 significant figures)

The solution is, 0.0016, when 0.001625 is Rounded to 2 significant figures.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

Decimal notation: 0.0016

No. of significant figures: 2

No. of decimals: 4

Scientific notation: 1.6 × 10-3  

Steps:

#1: 0.001625 (the original number has 4 sig figs)

#2: 0.0016 (rounded to 2 significant figures)

Hence, The solution is, 0.0016, when 0.001625 is Rounded to 2 significant figures.

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Answer:

Look at the screen shot

Step-by-step explanation:

Here is the formula

3/192=6/k

here is example

If two quantities change so that their ratio remains the same, the quantities are called directly proportional. Or, one can say that the quantities vary directly.

The ratio is called the constant of variation, and is usually recorded as k.

Answer:

210 calories per serving

Step-by-step explanation:

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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Answer:

-7

Step-by-step explanation:

-3-4=-7

:]

Answer:

-7

Step-by-step explanation:

The number of groups of 7/4 that are in 1 is 4/7.

The value of 3 ÷ 7/4 is 5 1/4.

In order to determine the number of groups of 7/4 that are in 1, divide 7/4 by 1.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

1 ÷ 7/4

= 1 x 4/7 = 4/7

3 ÷ 4/7

3 x 7/4 = 21/4 = 5 1/4

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Answer:

4/4 groups and 12/7

Step-by-step explanation:

\(1. \: 3 \times \frac{4}{7} \\ 2. \: \frac{3 \times 4}{7} \\ 3. \: \frac{12}{7} \)

admission per person was $12

they each paid $4 for pizza

Answer:

\(4(x^4+7)\)

Step-by-step explanation:

Taking out the greatest common factor,\(16x^4+28=4(x^4+7)\).

Answer:

$33.25

1 package is $4.75

Step-by-step explanation:

9.5 divided by 2 is 4.75, that is how much one package costs.

4.75 times 7 is 33.25, that's seven packages worth.

Answer:

Step-by-step explanation:

If you rolled a die 50 times and got (say) 8 1s, 7 2s, 9 3s, 10 4s, 9 5s and 7 6s, then the empirical probability of a 1 would be 8/50, of a 2 would be 7/50, of a 4 would be 10/50, of a 5 would be 9/50, and of a 6 would be 7/50.

9514 1404 393

Answer:

  2.64 gallons

Step-by-step explanation:

Each gallon costs $3.79, so the number of gallons that can be bought with $10 is ...

  $10/($3.79/gal) = (10/3.79) gal ≈ 2.6385 gal ≈ 2.64 gallons

Answer:f

tyn

Step-by-step explanation:

(a)let A=event that first k-1 draws will get r-1 red balls

let B=event that last (kth) draw will get rth red ball

P(kth draw is the rth red ball)= P(A AND B) = P(A)xP(B)

(b)P(A)=  # of  ways to draw r-1 red balls in k-1 trail

         # of ways to draw k-1 balls

RBBB *R is one way to achieve P(A AND B)

BBBR *R is another way.

(c)There are n−(r−1) red left, and a total of (m+n)−(k−1) balls left, so the (conditional) probability of drawing a red on the kth trial is n−r+1/m+n−k+1 Thus our required probability is

So,  P(A)= nC(r-1) x mC(n-r) x 1/(n+m)C(k-1)

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April bought 16 kilograms of soil in total.

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

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Factor \(x^2-81\) by using the difference of two squares.

\(x^2-y^2=(x+y)(x-y)\)

Our x is x

Our y is 9 (As y² = 81, therefore a single y would be 9)

\((x+9)(x-9)\)

Thus, the final answer is (x+9)(x-9)