refer to the number line. find the coordinate of point C that is 7/8 of the distance from m to j. m = 2 , j=18

Answer:

A. tenths

because there's only two digits after a comma

Time that is 100% of 120 minutes is 120 minutes.

Time that is 10% of 120 minutes is 12 minutes.

Time that is 110% of 120 minutes is 132 minutes.

Percentage is the  fraction of an amount that is usually expressed as a number out of hundred. In order to convert a number as a percentage, multiply the fraction of the number by 100. The sign used to represent percentages is %. Percentages are a measure of frequency.

Time that is 100% of 120 minutes = (100 / 100) x 120 = 120 minutes

Time that is 10% of 120 minutes = (10 / 100) x 120 = 12 minutes

Time that is 110% of 120 minutes = (110 / 100) x 120 = 132 minutes

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Answer: 100% of 120 is 120 Minutes

               10% of 120 is 12 Minutes

               110% of 120 is 132 Minutes

Step-by-step explanation:

There you go!

Answer:

Option C

Step-by-step explanation:

Given the data set, 23, 32, 20, 13, 27, 36, 29, 38, 23, 15, 30, 18, to find out which box-and-whisker plot matches the data, let's work out the 5-number summary needed for constructing a box plot.

The five-number summary includes the min, Q1, median, Q3 and max value.

Let's find them.

First, order the data set from the least to the largest

13, 15, 18, 20, 23, 23, 27, 29, 30, 32, 36, 38

Min = 13

Max = 38

Median = (23 + 27) ÷ 2 = 50 ÷ 2 = 25

Q1 = (18 + 20) ÷ 2 = 38 ÷ 2 = 19

Q3 = (30 + 32) ÷ 2 = 62 ÷ 2 = 31

The box-and-whiskers plot will have the description given in option C.

Answer:

One person will have 6100 and the other will have 4400.

Step-by-step explanation:

10500/2 = 5250

1700/2 = 850

5250+850 = 6100

10500-6100 = 4400

Check Answer:

6100+4400 = 10500

6100-4400 = 1700

Answer:

The point in the middle/center of the line joining two points (also known as endpoints) is called a midpoint. Given one endpoint and a midpoint, the other midpoint can be calculated using the midpoint formula.

Step-by-step explanation:

The point in the middle/center of the line joining two points (also known as endpoints) is called a midpoint. Given one endpoint and a midpoint, the other midpoint can be calculated using the midpoint formula.

Answer: 34 in one bucket, 62 in the other

======================================================

Work Shown:

x = number of golf balls in bucket A

y = number of golf balls in bucket B

Let's say bucket B has more golf balls. More specifically it has 28 more golf balls, so,

y = x+28

The two quantities must add to 96 golf balls total.

x+y = 96

x+x+28 = 96

2x+28 = 96

2x = 96-28

2x = 68

x = 68/2

x = 34 is the number of golf balls in bucket A

y = x+28

y = 34+28

y = 62 is the number of golf balls in bucket B

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

Check:

x+y = 34+62 = 96

The answer is confirmed.

Answer:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

we know that

The rule of the translation is

(x,y) -----> (x-4,y+4)

That means ----> The translation is 4 units at left and 4 units up

Find out the coordinates of the pre-image

Observing the figure

J(1,0),N(5,0),M(5,-3),P(2,-5)

Find out the coordinates of the image

Applying the rule of the translation at the coordinates of pre-image

J(1,0) -----> J'(1-4,0+4)

J(1,0) -----> J'(-3,4)

N(5,0) ---> N'(5-4,0+4)

N(5,0) ---> N'(1,4)

M(5,-3)----> M'(5-4,-3+4)

M(5,-3)----> M'(1,1)

P(2,-5) ----> P'(2-4,-5+4)

P(2,-5) ----> P'(-2,-1)

therefore

The coordinates of the image (after the transformation) are

J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Answer:

:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

My pleasure to help people

The required value of a is 2 if ​the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

We have been given that the expansion as

(1 + ax)²⁴

As per the binomial theorem expansion of the term 3,

T₃ = ⁿC₂ a² x²

Since the coefficient of x² = 1104

⇒ n!/2!(n-2)a² x² = 1104

Here n = 24

⇒ 24!/2!(24-2)a² = 1104

⇒ 276a² = 1104

⇒ a² = 1104/276

⇒ a² = 4

⇒ a = 2

Therefore, the required value of a is 2 if ​the coefficient of x² is 1104 of the expansion (1 + ax)²⁴.

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Answer:

8.9

Step-by-step explanation:

When given the area of the rectangle to be 59.63m2.....AND the length to be 6.7m

To calculate the area of a rectangle = L×B

Width = Area ÷ Length

= 59.63m2 ÷ 6.7m

Width = 8.9m

Answer:

width = 8.9 meters

Step-by-step explanation:

Area of a rectangle = length * width

In this case:

Width = Area of a rectangle / length

Width = 59.63m² / 6.7m

Width = 8.9 m

Answer:

a) 0.02

b) 0.7

c) 7

Step-by-step explanation:

0.2 × 0.1

1 - (0.2 + 0.1)

10 - (2+1)

Answer:

Step-by-step explanation:

The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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Answer:

E) Line 5

Step-by-step explanation:

Line 5 contains the first incorrect mathematical process

Process

x−5(x+1)>3x+2

−4x−5>3x+2

−7x−5>2

−7x>7

x<−1

Answer:

  52 ounces

Step-by-step explanation:

You want the number of ounces of pure acid to be added to 300 ounces of 12% acid solution to produce a solution that is 25%.

Let x represent the number of ounces of acid added. Then the amount of acid in the desired solution is ...

  12%(300) +100%(x) = 25%(300 +x)

Subtracting (25%(x) +12%(300)) from both sides, we get ...

  75%(x) = 13%(300)

Dividing by the coefficient of x, we find ...

  x = (13)(300)/75 = 52

52 ounces of pure acid should be added to make a 25% acid solution.

__

Additional comment

In the original solution, there are 12%(300) = 36 ounces of acid. In the 352 ounces of final solution, there will be 36+52 = 88 ounces of acid, a proportion of 88/352 = 1/4 = 25%.

The slope or gradient of a line is a number that describes both the direction and the steepness of line. The equation in point slope form if (-1,2) is a point on the line and 1/4 is the slope is y-2=[tex]\frac{1}{4}x+\frac{1}{4}[/tex].

A number that identifies the direction and steepness of a line is its slope or gradient. Letter m is frequently used to represent the slope.

The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. Occasionally, the ratio is written as a quotient (also known as a "rise over run"), which produces the same number for every two unique points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

Given,

x1= -1

y1= 2

slope= 1/4

Substituting the values in the equation,

y-y1= m(x-x1)

y-2= [tex]\frac{1}{4}[/tex](x+1)

y-2= [tex]\frac{1}{4}x+\frac{1}{4}[/tex]

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Using the OR and AND operations, we have that:

a. The graph of the and operation is x > a, while the graph of the or operation is x > b.

b. The graph of the and operation is x > b, while the graph of the or operation is x > a.

c. The graphs of both operations are the same, given by x > a = x > b.

The result of the AND operation between two data-set is the set that contains elements that belong to both sets.

The result of the OR operation between two data-set is the set that contains elements that belong to at least one of the sets.

In item a, we have that a is to the right of b, hence:

Hence:

The graph of the and operation is x > a, while the graph of the or operation is x > b.

In item b, we have that a is to the left of b, hence:

Hence:

The graph of the and operation is x > b, while the graph of the or operation is x > a.

In item c, we have that a and b are the same point, hence, hence the graphs of both operations are the same, given by x > a = x > b.

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Answer:

6.4675

Step-by-step explanation:

Answer:

Please see the graph below

Step-by-step explanation:

The table is just selecting numbers for x and then solving for what y would be.  Once we have the ordered pairs (x,y)  We can graph the points and see the line.

After solving the inequality we get the value of x as x ∈ (₋5,3)

Given the inequality is 2 |x + 1|  < 8

Divide both sides of the inequality by the coefficient of variable.

|x + 1| < 8/2

Reduce the fraction

|x + 1| < 4

Now convert the absolute inequality to standard inequality.

₋4 < x₊1 < 4

separate compound inequalities into system of inequalities.

x ₊ 1 > ₋4  (1)

x ₊ 1 < 4 (2)

for (1) x ₊ 1 > ₋4

rearrange variables to the left side of the equation.

x > ₋4 ₋1

calculate the sum.

x > ₋5

for (2) x ₊ 1 < 4  (2)

rearrange the terms.

x < 4 ₋ 1

x < 3

therefore ₋5 < x < 3

Hence we get the value ranging from (₋5 , 3)

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While solving the quadratic equation, in the step 2, Priya did not correctly complete the square.

A quadratic equation is of the form of ax²+bx+c=0.

The given quadratic equation is of the form:

x²-6x-11=0

Now solving it by completing the square we get:

or, x²-6x=11  (take all the variable to one side)

or, x²-6x+9=11+9  (complete the square when b=3)

or, (x-3)²=20     (factor and square the polynomial)

or, x = 3 ± √20    (use inverse operations so that the variable is isolated)

Hence Priya made a mistake while completing the square of the equation.

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First of all we know about the Estimation.

What is the Estimation?

To estimate the result of multiplication (product), round the numbers to some close numbers that can easily multiply . One method of estimation is to round all factors to the biggest digit (place value) they have.

General rule for rounding:

1 ) If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2 ) If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

So the last digit of number is 44 which is less then 50 so the number is down to its 10's.

thats the reason why when we estimate the product of 416x9 =3,744 is 3,600.

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Answer:

The slope would be [tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x1-

So this is a very simple question.

First, analyze the problem

It says y=2x-1

The answer is +1 or 1 I believe

Someone pls correct me If I'm wrong.

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean  and standard deviation , the z-score of a value X is given by:

The zscore represents how many standard deviations the value of X is above or below the mean .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have .

So

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

Step-by-step explanation:

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }\math

d= (x 1 −x2 ) 2 +(y 1 −y 2) 2

We are defined our two points as:

(x₁, y₁) → (1, -7)

(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1

y₁ = -7

x₂ = 7

y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\begin{gathered}\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}\end{gathered}

d= (1−7) 2+(7−0) 2= (−6) 2+(7) 2 = 36+49=\math 85

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

Proportionately, the number of milligrams of Medication A that should be mixed this week with 140 milligrams of Medication B is 100 milligrams.

Proportions are the ratios of variables to others.

Proportions show the number or value relationships of two variables.

Decimals, percentages, and fractions can represent proportions.

The mixture of Medication A and B last week:

Medication A = 130 milligrams

Medication B = 182 milligrams

The proportion of Medication A to Medication B = 0.714287

The mixture of Medication A and B this week:

Medication B = 140 milligrams

Medication A = x

x = 140 x 0.714287

x = 100 milligrams

Thus, using equivalent proportions, 140 milligrams of Medication B should be mixed with 100 milligrams of Medication A.

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Answer:

$29.77

Step-by-step explanation:

First, divide 429 by 33 to find how many gallons that she's paying for, then multiply that by $2.29 to find the answer.

The cost for Carmen to drive 429 miles is $29.77.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Given that,

Distance car travels per gallon = 33 miles per gallon

Cost of gasoline per gallon = $2.29 per gallon.

33 miles can be travelled with 1 gallon of gasoline.

1 mile can be travelled with 1/33 gallon of gasoline.

429 miles can be travelled with 429/33 = 13 gallon of gasoline.

Amount of gasoline needed for 429 miles = 13 gallon.

Cost of gasoline for 1 gallon = $2.29

Cost of gasoline for 13 gallon = 13 × $2.29 = $29.77

Hence it will cost $29.77 for her to drive 429 miles.

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The length of BC to the nearest while meters is 143m

Given the following parameters

AC = 108 m

<A = 53°

Using the SOH CAH TOA identity

tan 53 = opp/hyp

tan53 = BC/108

Determine the measure of BC

BC = 108tan53

BC = 143.32m

Hence the length of BC to the nearest while meters is 143m

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