Perform the indicated operation

7 1/8 ∙ 5 2/3

2.9% of the people in Antonie's middle school have an extra rib

Ribs are curved bones that are located in the chest, they help to protect the delicate organs in that part of the body.

About 2 in every 400 people have an extra rib

There are 580 people in Antoine's middle school

The number of people with an extra rib cage can be calculated as follows

= 580 × 2/400

= 1160/400

= 2.9

Hence 2.9% people have an extra rib cage.

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The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:

P'(x, y) = P(x, y) + T(x, y)        (1)

Where:

If we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:

P'(x, y) = (2, - 4) + (- 6, 3)

P'(x, y) = (- 4, - 1)

Q'(x, y) = (4, - 5) + (- 6, 3)

Q'(x, y) = (- 2, - 2)

R'(x, y) = (7, - 2) + (- 6, 3)

R'(x, y) = (1, 1)

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

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Answer:

Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.

1. The number of sample size 1 jelly beans in a 2-liter jar is 645.

2. The number of sample size 2 jelly beans in a 2-liter jar is 640.

3. The number of sample size 3 jelly beans in a 2-liter jar is 637.

A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.

Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).

Total weight = 1,150g

Weight of the jar = 440g

The total weight of the jelly beans = 710g (1,150 - 440)

Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)

Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)

Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)

Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.

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Answer:

  E.  a^(1/3)b^(1/6)

Step-by-step explanation:

You want an expression equivalent to (a^(2/3)b^(1/3))^(1/2).

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

The given expression simplifies to ...

  [tex](a^{2/3}b^{1/3})^{1/2}=a^{(2/3)(1/2)}b^{(1/3)(1/2)}=\boxed{a^{1/3}b^{1/6}}[/tex]

Answer:

S would now only be 3 units from R instead of 6 units from R.  Move S three units to the left.

Step-by-step explanation:

Answer:

100 miles from shore

Step-by-step explanation:

locate 10 hours on the x- axis, go vertically up to meet the line at (10, 100 )

so after 10 hours they are 100 miles from shore

Answer:

100

Step-by-step explanation:

x-axis shows time - find where this is 10 hours

y-axis shows distance from shore.  Find where this corresponds to 10.  That is at 100 miles.

The value of the function is [tex]5^t-5[/tex] .

A function is defined as a expression containing one or more variables.

A function, in technical terms, is a mechanism to connect a collection of inputs to a set of outputs.

A function of a single variable (say x) is defined mathematically as g(x).

Let us consider a function of a variable x such that it is defined as:

g(x)=x+1

Here the output are calculated for all values of x . At x=1 the value of the function is denoted as g(1)=1+1=2.

Mathematically to calculate the value of the function f(x) for any particular value of x we substitute the value of x into the value of f(x).

Now the given function is given as:

[tex]f(x)=5^x-5[/tex]

Therefore at x=t,

[tex]f(t)=5^t-5[/tex]

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The length and width of rectangle is 10 feet and 4.5 feet.

This problem is related to the area and perimeter of plane figures. We have to find the dimensions of the rectangle using the data given.

Given, the length is 1 feet more than twice the width.

Let the width be a feet.

So, length = (2a+1) feet

Now according to question,

   [tex](2a+1)(a)=45\\[/tex]

⇒ [tex]2a^{2} +a-45=0[/tex]

On solving the above quadratic equation we get a=4.5 feet.

So, length = 10 feet.

The dimension of rectangle is 10 feet × 4.5 feet.

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Answer:

Step-by-step explanation:

Answer: 2x - 8= 18

2x - 8=18

2x=26

x= 13

The sentence "5 is subtracted from the square of a number" represented as an algebraic expression is x² -5.

Algebraic expressions: what are they?

Given,

Let the number be x and 3 is subtracted from a number.

Represent it in expression.

Step 2

3 is subtracted from a number means 3 is subtracted from x.

Here we have to subtract 3 from x. It can be represented as = x - 3

Let the number be x.

In this exercise, you're required to write an algebraic expression to represent the word problem (sentence). Also, the number would be denoted by the letter x and no need for further simplification of the algebraic expression.

Translating the word problem (sentence) into an algebraic expression, we have;

Square of a number (x) = x²

Subtracting 5 from the the square of x, we have  x² -5 .

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The points which are a distance of 13 units from (12,5) are (0,0)and (24,0).

The distance between two point with co-ordinates ([tex]x_1,y_1[/tex])  and ([tex]x_2,y_2[/tex]) is calculated by the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

All points on the x-axis have their y-coordinates equal to 0. So let the point (a,0) be a point on the x-axis such that the distance from (12,5) to (a,0) is 13 units.

Let us substitute the values into the distance formula to calculate the values of a so that we can find the two points.

[tex]13=\sqrt{(12-a)^2+(5-0)^2}[/tex]

Squaring both sides we get:

[tex]or,13^2=144-24a+a^2+25\\or,169-144-25-24a+a^2\\or,a^2-24a=0\\or,a(a-24)=0[/tex]

Now either a=0 or (a-24)=0

Therefore either a=0 or a=24.

Therefore the two points (0,0) and (24,0) .

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Answer:

(6x) + 9 = 4

Step-by-step explanation:

Times means 'The answer when you multiply' So we are working in multiplication. ( x )

6x is the multiplication.

It says 'more than' which means adding to our answer. So we add 9. So far our equation is: (6x) + 9 (Brackets are needed as we are multiplying 6 by x and not multiplying 6 by x+9)

Lastly, it says the answer must be 4 so we add that at the end. So the answer is:

(6x) + 9 = 4

Answer:

★ How to do :-

Here, we are given with a fraction in which we are asked to find the second number in which we get it's product when multiplied as one. We aren't given with the appropriate first number but it's written in thr form of multiplication. If we multiply those numbers, we'll get the value of the first number. After finding the first number, we shift thr obtained value from LHS to RHS. We should always remember that while shifting the numbers, the sign of the appropriate number changes. So, let's solve!!

\:

➤ Solution :-

{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times x = 1}⇝3(97)×x=1

First, multiply the numbers on LHS.

{\tt \leadsto \bigg( \dfrac{3}{1} \times \dfrac{7}{9} \bigg) \times x = 1}⇝(13×97)×x=1

First solve the bracket on LHS.

{\tt \leadsto \dfrac{21}{9} \times x = 1}⇝921×x=1

Shift the first fraction from LHS to RHS, changing it's sign.

{\tt \leadsto x = 1 \div \dfrac{21}{9}}⇝x=1÷921

Take the reciprocal of second fraction and multiply both the fractions.

{\tt \leadsto x = \dfrac{1}{1} \times \dfrac{9}{21}}⇝x=11×219

Multiply the fractions now.

{\tt \leadsto x = \dfrac{9}{21}}⇝x=219

\:

{\red{\underline{\boxed{\bf So, \: the \: other \: number \: is \: \dfrac{9}{21}}}}}So,theothernumberis219

\:

Verification :-

{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times x = 1}⇝3(97)×x=1

Substitute the value of x.

{\tt \leadsto 3 \: \bigg( \dfrac{7}{9} \bigg) \times \dfrac{9}{21} = 1}⇝3(97)×219=1

Multiply the numbers on LHS in the bracket.

{\tt \leadsto \bigg( \dfrac{7 \times 3}{9 \times 1} \bigg) \times \dfrac{9}{21} = 1}⇝(9×17×3)×219=1

Multiply the numerators and denominators.

{\tt \leadsto \dfrac{21}{9} \times \dfrac{9}{21} = 1}⇝921×219=1

Multiply the numbers on LHS.

{\tt \leadsto \dfrac{21 \times 9}{9 \times 21} = 1}⇝9×2121×9=1

Multiply the numerators and denominators.

{\tt \leadsto \dfrac{189}{189} = 1}⇝189189=1

Write the fraction in lowest form on LHS.

{\tt \leadsto 1 = 1}⇝1=1

So,

{\sf \leadsto LHS = RHS}⇝LHS=RHS

\:

Hence verified !!

The slope of f is m= -0.05577.

Given : The winning times for the​ 200-meter dash can be approximated by  f(x) = - 0.05577x+146.2 , where x is the year.

To find : The slope of f

Solution : Using slope intercept form a linear function is represented as

y = mx+b

where, m is the slope and b is the y-intercept.

We can write the function as  f(x) = - 0.05577x+146.2

Comparing with slope intercept form,

m= -0.05577 and y-intercept = 146.2

Therefore, The slope of f is m= -0.05577

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Answer:

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Answer:

the answer is 150°

Step-by-step explanation:

because the angle is obtuse angle so obtuse angle measures between 90° and 180° so the rest choices are not correct.

Z-score of 10 is -1.25; Z-score of 20 is 1.25; Z-score of 12 is -0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.

To calculate this, we use the following notations and formulas:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

SD = Standard deviation = Variance^0.5

Z-score = (x - Mean) / SD

Where;

n = number of obsrvations = 5

x = each observation

We now proceed as follows:

Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15

Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16

SD = Variance^0.50 = 16^0.5 = 4

Z-score of 10 = (10 – 15) / 4 = –1.25

Z-score of 20 = (20 - 15) / 4 = 1.25

Z-score of 12 = (12 - 15) / 4 = –0.75

Z-score of 17 = (17 - 15) / 4 = 0.50

Z-score of 16 = (16 - 15) / 4 = 0.25

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Answer:

Step-by-step explanation:

83.9

Slopes vs. gradients vs. % grades

Slope

Angle (degrees) Gradient Grade (%)

40 1 83.9

41 1 86.9

42 1 90.0

Answer:

No

Step-by-step explanation:

Check by changing to a common denominator

The linear equation that gives the cost C (in dollars) for j jerseys is [tex]C = 23j_{1} + 19.80j_{2}[/tex].

From the question, the linear equation that gives the cost C (in dollars) for j jerseys can be derived as follows:

[tex]C = 23j_{1} + 19.80j_{2} ............................. (1)[/tex]

Where:

C = total cost of the two jersey

Cost per unit of sports jerseys with $345 cost = $345 / 15 = $23

Cost per unit of jerseys with $495 cost = $495 / $19.80

[tex]j_{1}[/tex] = units of sports jerseys with $345 cost

[tex]j_{2}[/tex] = units of jerseys with $495 cost

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The probability of selecting number 4 or smaller numbers 2 / 5 .

Probability of event to happen P(E) = variety of favourable outcomes/Total variety of outcomes

We have given number from 1 to 10.

The number which are smaller than four and equal to 4 = 4

Total number of outcomes = 10

Probability = 4 /10

                 = 2 / 5

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Answer:

280. Answer choice D

Step-by-step explanation:

1st month: 60 meals

2nd month: 33% more than 1st month - 80 meals

(1 + (33/100)) * 60 = (1.33)(60) = 79.8 meals (Round to 80 meals)

3rd month: 2(60+80) = 280 meals

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(M) 280

Step-by-step explanation:

The first month the girls delivered 60 meals. For the second month 133% of 60 is (60 x 1.33) 79.8 which is ~ 80 meals. 80 + 60 = 140, 140 x 2 = 280

The answer is (M) 280

The cost of a Token from the question is; $7.2

We are told that Jane and Jim spend the same amount of money today.

Now, Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token is T, the the algebraic expression formed is;

5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = $7.2

Thus, we conclude that the cost of a Token is; $7.2

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Answer:1. X=9

              2. x

=

Step-by-step explanation:

Answer:

30x100= 3000

Step-by-step explanation:

Answer:

It is 0.2678 percent .....