For which value of x does each expression makes sense?

Answer:

4 records sold on Wednesday, 32 records sold on Thursday!

Step-by-step explanation:

To do 9b, you need to set up our own equation!

Let's use W to represent records sold on Wednesday and T to represent records sold on Thursday.

It said 36 total records were sold on Wednesday and Thursday. This can be represented with the following equation ...

W + T = 36

It also tell us that on Thursday (T),  8 times the number of records sold on Wednesday were sold on Thursday. In equation form, this looks like ...

T = 8 × W

Now, let's use all this info to solve!

Let's first solve the equation W + T = 36

But, we need values! We have one! We know what T equals!

Let's plug in T

T = 8 × W

W + ( 8 × W ) = 36

Solve

W + 8W = 36

9W = 36

W = 4

4 records were sold on Wednesday!

Let's plug in W in our T equation to see how many records were sold on Thursday.

T = 8 × W

T = 8 × 4

T = 32

32 records were sold on Thursday!  

Wednesday can be represented with HALF A CIRCLE

and Thursday can we represented with FOUR CIRCLES

The best prediction of the bird population in the year 2014 is 3132.

The given data is-

Difference of the years;

2014 - 2009 = 5 years

Decline = 3,500 * (0.978)^5

Decline = 3,500 * 0.89473

Decline  = 3131.57

Thus, the population of the birds in 2014 will be 3,131.57 ≈ 3,132.

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Ariel is correct, the statement is false and the equation has no solutions.

Ariel says that the given linear equation has no solutions, so we need to check that.

The linear equation is:

3y - 12 = 3*(y + 1)

If we expand the right side we will get:

3y - 12 = 3y + 3

Now we can subtract 3y in both sides, then we will get:

3y - 12 - 3y = 3y + 3 - 3y

-12 = 3

That is a false equation, thus there are no values of y such that the equation is true, then we don't have any solutions.

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Answer:

Y= (-2/7)x + (2/7)

Step-by-step explanation:

0-2= -2

1-(-6)= 7

-2/7= -2/7. (slope)

y=mx+b

2=( -2/7)(-6)+b

2= 12/7 +b

2/7 =B

so Y= (-2/7) + (2/7)

I also plugged in the answer to make sure it matches up.

Answer:

79°

Step-by-step explanation:

Angles on a line add to [tex]180^{\circ}[/tex].

[tex]28+x+73=180 \\ \\ 101+x=180 \\ \\ x=79[/tex]

Answer:

  42

Step-by-step explanation:

You want to know the missing denominator in the equation ...

  2/35 = 1/30 +1/x

Subtract 1/30 from both sides and simplify.

  2/35 -1/30 = 1/x

  (2·30 -1·35)/(35·30) = 1/x

  25/(35·30) = 1/x

  1/(7·6) = 1/42 = 1/x

The missing denominator is 42.

The equation written is m + 16 + 7 = 40 and the amount of money Melis has left is $17.

As mentioned, assuming the amount of money left be m. Sum of left money and spent money will be equal to earned amount of money. Representing this as equation -

m + 16 + 7 = 40

Performing addition on Left Hand Side of the equation

m + 23 = 40

Rewriting the equation

m = 40 - 23

Performing subtraction on Right Hand Side of the equation

m = 17

Thus, Melia is left with $17 from her earnings.

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Answer:

y = -2x - 15

Step-by-step explanation:

We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.

We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of

m = -2

Using our equation for a line: y = mx+b, our line so far is

(I) y = -2x + b

Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.

x = -9

y = 3

(I) (3) = -2(-9) + b

3 = 18+b

b= -15

Now we have m and b so we can write the equation of our line:

y = -2x - 15

Answer:

To find the minimum number of lawns Jacob will need to mow, we can set up the following inequality:

12x + 150 >= 380

To solve this inequality, we need to get x by itself on one side of the inequality. We can do this by subtracting 150 from both sides of the inequality:

12x >= 230

Then, we can divide both sides of the inequality by 12 to get the value of x:

x >= 19.17

Since x represents the number of lawns Jacob needs to mow, it must be an integer. Therefore, the minimum number of lawns Jacob will need to mow is 20.

This means that Jacob needs to mow at least 20 lawns in order to earn enough money to buy the electronic tablet. If he mows more than 20 lawns, he will have more than enough money to buy the tablet.

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They have the same degree. So the answer is B

Answer:

The slope of the line is = 3/2

Answer:

Equation in Point Slope Form: y= 3/2x - 3

Step-by-step explanation:

Point slope form is y=mx+b

where m is the slope of the line (rise over run) which in this case is 3/2

b is the y intercept (where the line crosses the y axis) which in this case is at point (0,-3)

Answer:

C. x = 13  or x = -3

Step-by-step explanation:

|x - 5| + 7 = 15

|x - 5| = 8

x - 5 = 8  or  x - 5 = -8

x = 13  or x = -3

Answer: C. x = 13  or x = -3

The hypothesis of the conditional statement is "if an angle measures 130 degrees," and the conclusion is "the angle is obtuse."

A conditional statement is a statement in the form "if X, then Y," where X is the hypothesis and Y is the conclusion. In this case, the hypothesis is that the angle measures 130 degrees, and the conclusion is that the angle is obtuse.

An angle is obtuse if it measures more than 90 degrees but less than 180 degrees. Since 130 degrees is greater than 90 degrees but less than 180 degrees, the conclusion that the angle is obtuse follows logically from the hypothesis that the angle measures 130 degrees.

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AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

In the given triangle A is the incenter for triangle PQR.

By observing figure, AR is angle bisector of angle URK.

So,   ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

3x + 2 = 4x - 9

Subtract 3x and add 2 on both sides of equation.

4x - 3x = 9 + 2

x = 11

Now plug in x value in ∠QPA=3(11)+2

=33+2=35 degrees.

Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.

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The Least Common Multiplier of [tex]$q(2-4), r(-6-8), s(-102), t(-26)$[/tex] is [tex]$-9282 q r s t$[/tex].

What is Least Common Multiplier ?

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory.

Lowest Common Multiplier (LCM)

The LCM of a, b is the smallest multiplier that is divisible by both a and b

Factor [tex]$q(2-4): \quad-2 q$[/tex]

Factor [tex]$r(-6-8): \quad-2 \cdot 7 r$[/tex]

Factor [tex]$s(-102): \quad-17 \cdot 2 \cdot 3 s$[/tex]

Factor [tex]$t(-26): \quad-13 \cdot 2 t$[/tex]

Multiply each factor with the highest power:

[tex]$$-13 \cdot 17 \cdot 2 \cdot 3 \cdot 7 \cdot q \cdot r \cdot s \cdot t$$[/tex]

Simplify

[tex]$-9282 q r s t$[/tex]

Complete question: Find the Least Common Multiplier  of Q(2, -4), R(-6, -8), S(-10, 2), T(-2, 6) is:

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it equals = kwasia

30-24=6

D) The figure has four 90° angles and exactly two pairs of parallel sides.

In geometry, parallel lines are two lines that exist in the same plane, are equally spaced apart, and never cross one another. There is a range of possible shapes, both horizontal and vertical.

Zebra crossings, stacks of notebooks, and the nearby railroad tracks are just a few places where parallel lines can be observed. The distance between two parallel lines at their perpendicular intersections is constant.

Different shapes' sides go parallel to one another. The single arrow lines in the rectangle below are parallel to one another, and the double arrow lines are also parallel to one another.

The symbol for parallel lines is ||, which consists of two vertical lines placed between the names of the lines.

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Answer:

Solution in picture.

Step-by-step explanation:

A triangle has three angles which adds up to 180°.

First do the easy ones such as 90°. Then the Triangle. Then the vertical angles. Then the two angles of supplementary angles which adds up to 180°. Etc.

Answer:207.24 and 483.56

Step-by-step explanation:

The formula for the surface area of a cylinder is:

A=2πrh+2πr2

Meaning that we only have to plug the values in.

2π(3)(8)+2π(3)²

=48π+18π

=66π

=66(3.14)

=207.24

Second Cylinder:

2π(7)(4)+2π(7)²

=56π+98π

=154π

=154(3.14)

=483.56

Three sons inherited 2,179 ducats from their father. The number of ways the father can bequeath the resources is

Information from the problem helped in generating the following equations

The father bequeathed the older brother 2 times more money than the younger one

let the youngest receive an amount equivalent to y

then the eldest will receive 2y

let the middle receive x

Using the sharing formula described we have

y + 2y + x = 2179

3y + x = 2179

the middle brother should receive more than the younger one, but less than the older one

x > y

x < 2y

plotting the equations on a graphing calculator and getting the solutions we have

(544.75, 544.75) and (871.6, 435.8)

y ranges from 435.8 to 544.75 using whole numbers

436 to 544

The number of ways

= 544 - 436

= 108 ways

the number of ways of sharing according to fathers will is 108

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The Pearson correlation coefficient (r) is used to discover styles in matters while the coefficient of determination (R²) is used to discover the electricity of a model.

R-Squared is a statistical degree of healthy that suggests how a good deal version of a established variable is defined through the unbiased variable(s) in a regression version.Interpretation of R-squared/Adjusted R-squared.

R-squared measures the goodness of healthy of a regression version. Hence, a better R-squared suggests the version is a great healthy even as a decrease R-squared suggests the version isn't an awesome healthy.

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The rate of current in the stream on that​ day is; 2 miles per hour

When dealing with relative velocity, we can say that;

When the motorboat travels downstream, then it means the total velocity will be;

Total velocity = Velocity of the motorboat in still water + Velocity of the stream.

If the motorboat travels upstream, the total velocity will be;

Total velocity = Velocity of the motorboat in still water - Velocity of the stream.

Thus,

Upstream speed = (14 mi/h - S)

Downstream speed = (14 mi/h + S)

Where;

S is the rate of current in the stream.

We are told that going downstream, it takes 15 minutes more to travel 12 miles, then we can write the system of equations as;

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

Making T the subject in the first equation gives;

T = (12 mi)/(14 mi/h + S)

Plugging in (12 mi)/(14 mi/h + S) for T in the second equation gives;

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Multiply both sides by (14 mi/h + S) to get;

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Since the speeds are in miles per hours, we can rewrite as:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi²/h - 12mi*S  + 49mi²/h + 0.25h*S² = 168mi²/h + 12mi*S

- 12mi*S  + 49mi²/h - 0.25h*S² = 12mi*S

-24mi*S -  0.25h*S²  + 49mi²/h = 0

Solving this quadratic equation with online quadratic equation solver gives us; S = 2 mph

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27 is the test score of percentile score of 71 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60 th percentile.

[tex]R_{100} =\frac{100(N < )+\frac{1}{2} N}{N_{t} }[/tex]

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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Answer:

4/13

Step-by-step explanation:

The question asking to find P(jack or heart)

You have to use the formula below:

P(A or B) = P(A) + P(B) - P(A and B)

Event A here is jack and event B is heart, now let's find the three probabilities on the right side to be able to find the left side.

P(jack) =4/52 because there are 4 jacks in a standard deck of cards

P(heart) =13/52 because there are 13 heart cards

P(jack and heart) =1/52 because there is only one jack card with a heart symbol

Now, plug in the three answers in the above formula:

P(jack or heart) = 4/52 + 13/52 - 1/52

this equal to 16/52

Last step, reduce the result by dividing the top and the bottom numbers by 4

The final answer is 4/13

Answer:

Step-by-step explanation:

Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Given:

The line that passes through the points (8,-1) and (5,-1)

To find:

Find the equation.

Explanation:

We know, the equation of the line passes through the two points,

y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D

The X coordinate of the image is (-5,2)

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

The coordinates of one point in the coordinate system are included in an ordered pair. An ordered pair of the form of a point's name is (x, y). The x-coordinate is represented by the first integer, and the y-coordinate by the second. You must place a dot at the coordinates of the ordered pair in order to graph a point.

Given

The coordinates for x and y change when you consider the line y=x. The end product is (-5,2)

Because (-5,2) its reflection means x coordinate will y coordinate and y coordinate will x coordinate so the coordinate be (-5,2)

The complete question is : Find the coordinates of the image of point (2,-5) after a reflection in the line y=x

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Answer:

OB

Step-by-step explanation:

|x+11|<17

x+11<17

x<17-11

x<6

-(x+11)<17

-x-11<17

-x<17+11

-x<28\×(-)

x>-28

June started washing the window at 12:20 PM.

June washed the window for 2 Hours and 45 minutes.

As he finished washing the window at 3:05 PM

For calculating at what time did he start washing the window we need to subtract the time taken in cleaning the window from the time at which he finished washing.

As, for finding the starting time, we need to subtract 2 Hr. and 45 minutes from 3:05 PM.

As, 3:05 PM can be also written as 5 minutes post 3 which will be equivalent to (60+5) = 65 minutes post 2. (As there are 60 minutes in 1 Hr).

Now, 45 minutes before 2:65 minutes will be 2:20

Again 2 Hr. before 2:20 PM will be 12:20 PM.

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The correct question may be

June washed the window for two hours and 45 minutes he finished washing the window at 3:05 P. M. What time did he start washing the window?