solve the equation 4s+4=9

The number of solutions of each of the given linear equations are;

1) No solution

2) One solution

3) No solution

1) We are given the equation;

¹/₃x - 6 = ¹/₃(x - 3) - 5

Expanding the bracket gives us;

¹/₃x - 6 = ¹/₃x - 1 - 5

The value that has the variable x is equal on both sides and so will cancel out leaving us with no solution.

2) 8x + 7 = -8x + 7

Add 8x to both sides to get;

16x + 7 = 7

subtract 7 from both sides to get;

16x = 0

x = 0

This has only one solution

3) 0.8x + 14 = 0.8x

The value attached to the variable on both sides are equal and so we say that this has no solution.

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Answer:

perimeter of rectangle= 2(l+b)

=2(4x+5+8x-4)

=2(12x+1)

24x+2

Answer:

perimeter of the rectangle = 24x + 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Then:

perimeter = 2(4x+5 + 8x-4)

perimeter = 2(4x+8x + 5-4)

perimeter = 2(12x + 1)

perimeter = 2*12x + 2*1

perimeter = 24x + 2

It would take Laine 20.83 minutes to read 25 pages at the same rate.

Assuming that Laine was able to read 200 pages in 240 minutes at a consistent rate, it would take her 25 minutes to read 25 pages. To figure out how long it would take Laine to read 25 pages, we need to use a proportion.

Let x represent the time it will take Laine to read 25 pages.

200/240 = 25/x

Cross multiply to solve for x:

240x = 5000

Divide both sides by 240:

x = 20.83 minutes

Therefore, it would take Laine 20.83 minutes to read 25 pages at the same rate.

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Check the picture below.

[tex]\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x[/tex]

The probability that the weight of the box less than 27 kilogram is 0.375

The figure shows the probability distribution shows the weights x, in kilograms, of boxes being shipped from a certain factory.

Then a shipped box is randomly chosen

The probability is the ratio of the number of favorable outcomes to the total number of outcome

The probability = Number of favorable outcomes / Total number of outcomes

Number of possible weights = 8 weights

Number weights less than 27 kilogram = 3

Substitute the value in the equation of probability

The probability = 3/8

Divide the numbers

= 0.375

Therefore, the probability is 0.375

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The measure of each of the other two angles is 72° and 36°.

What is vertex angle?

The angle created by two lines or rays intersecting at a location is known as the vertex angle. The sides of the angle are formed by these two rays. In other terms, vertex angle refers to the angle contained within a certain vertex and is expressed in degrees.

let the vertex angle is 36°

the other two angles are equal

let the angle be x

sum of angle in triangle is 180

x + x + 36 = 180

2x = 180 - 36

2x = 144

x = 144/2

x = 72

largest angle is 72°

smallest angle is 36°

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Answer: 42 parcels total.

each parcel contains 6 tins of beans in each parcel, 4 chocolate bars, and 7 packets of soup.

Answer:

The number of packages is 42.

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

Step-by-step explanation:

We need to find the greatest common factor (GCF) of the three numbers to find the number of packages.

168 = 2³ × 3 × 7

252 = 2² × 3² × 7

294 = 2 × 3 × 7²

GCF = 2 × 3 × 7 = 42

The number of packages is 42.

168/42 = 4

252/42 = 6

294/42 = 7

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

Answer:

A.

Step-by-step explanation:

5 x 14 = 70

x^1 x x^7 = 8

y^0 x y^5 = 5

Answer:

[tex]2m=45[/tex]

Step-by-step explanation:

He earned twice as much washing cars, which is [tex]2m[/tex]. This is given to be equal to 45.

The area of the figure having two semicircles and a parallelogram is equal to 173.01 square inches. The correct option is A.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Given that the radius of the semicircle is 6 inches and the height of the parallelogram is 5 inches.

Calculate the area of two semicircles,

Area = π / 2r² +  π / 2r²

Area = πr²

Area = ( π x 6² )

Area = 113.09 square inches

Calculate the area of a parallelogram,

Area = B x H

Area = 12 x 5

Area = 60 square inches

The total area of the figure,

Total area = 113.09 + 60

Total area = 173.01 square inches

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The tip of the man's shadow is moving at the speed of 2.25m/s.

Here, we are given-

Length of the pole = 6 meters

Height of the man = 2 meters

Speed of the man = 1.5 m/s

we can form a diagram as shown in the figure below.

Now as the two triangles are similar, the ratio of their sides will be equal-

2/ b = 6/ (a + b)

2(a + b) = 6b

2a + 2b = 6b

2a = 4b

a = 2b

Now, differentiating both sides with respect to time-

da/ dt = 2db/ dt

(1/2)(da/dt) = db/dt

Let a + b = c

⇒ dc/ dt = da/dt + db/dt

dc/ dt = da/dt + da/2dt

dc/ dt = 3/2 × da/ dt

Now, we know that the speed of the man is 1.5m/s ⇒ da/dt = 1.5

dc/dt = 3/2 × 1.5

= 2.25

Thus, the tip of the man's shadow is moving at a speed of 2.25m/s.

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Your question was incomplete. Check for full content below-

a street light is mounted at the top of 6 a -ft-tall pole. a man 2 ft tall walks away from the pole with a speed of 1.5m/s along a straight path. How fast is the tip of his shadow moving when he is 10ft from the pole?

No, The two expression you wrote is not true. Because expression are equivalent when values are substituted in for variables. So, both expression gave same answer. Then we can say equivalent expression.

What is expression?

Expression is a finite of symbols that are formed in accordance with dependent rule. It is a number, a variable and combination of variables or symbols. It can be possible by multiply, divide, subtraction and addition.

What is equivalent expression?

Equivalent expression that always work same but look different. When equivalent expression simplified they give same answer. If all the terms in the two expression are identical then we can expression are equivalent.

NOW we have expression

ax +3b

3b+xc

ax+3b=3b+xc

ax=xc

The two expression can only be equivalent if ax=xc it mean that a is equal to c. which is not true. So, they are not equivalent.

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No. Using Lin's method, there is an implicit assumption that [tex]d \neq 0[/tex]. However, the solution to the equation turns out to be [tex]d=0[/tex], making Lin's method invalid.

To find the z-score for a given systolic blood pressure reading, we need to use the z-score formula:

z = (x - mu) / sigma

where z is the z-score, x is the raw score, mu is the mean, and sigma is the standard deviation.

In this case, we are given that mu = 121 and sigma = 15. We can use this information to find the z-score for each of the given blood pressure readings:

A. For a blood pressure reading of 142, we have:

z = (142 - 121) / 15

= 21 / 15

= 1.4

Therefore, the z-score for a blood pressure reading of 142 is approximately 1.4, to the nearest tenth.

B. For a blood pressure reading of 130, we have:

z = (130 - 121) / 15

= 9 / 15

= 0.6

Therefore, the z-score for a blood pressure reading of 130 is approximately 0.6, to the nearest tenth.

C. For a blood pressure reading of 103, we have:

z = (103 - 121) / 15

= -18 / 15

= -1.2

Therefore, the z-score for a blood pressure reading of 103 is approximately -1.2, to the nearest tenth.

a) The deviation from the mean for each term is given as follows:

b) The sum of all deviations obtained in part a is of 378.

The deviation from the mean of each term is given by the absolute value of the difference between each term and the mean.

Hence, for example, the absolute deviation of 27 from the mean of 108 is given as follows:

|27 - 108| = |-81| = 81.

(the absolute value of a number is the number without the signal).

For a number greater than the mean of 108, the deviation of 243 from the mean is given as follows:

|243 - 108| = |135| = 135.

Then the sum of all deviations obtained in part a is given as follows:

81 + 63 + 45 + 0 + 54 + 135 = 378.

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The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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The best description of the distribution is bimodal with a gap.

Here in the plot, we can see that there are two peaks and it implies that there are two modes.

This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data

We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.

The following dot-Plot shows the bimodal with a gap.

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Using fractions, we can say that  0. 2×0. 002 equal 0. 4or in other way 0.0004.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have following expression -(0.2) • (0.002) = 0.0004

We have -

(0.2) x (0.002)

2/10 x 2/1000

1/5 x 1/500

1/2500

0.0004

Therefore, using fractions, we can say that 0.0004.

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Answer:

[tex]223093\pi/187500[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}\pi r^2 h=(\pi/3)(1.31^2)(2.08)=223093\pi/187500[/tex]

Lauren’s reasoning does not make sense, as the lcm of 2 and 8 is 8.

In this question we have been given Lauren uses a treadmill every 2 days and the weight machines every 8 days.

She used a treadmill on March 2 and will use the weight machines on March 8.

But she says that the first time she will use both a treadmill and the weight machines in March is March 16 because the LCM of 2 and 8 is 16.

First we find and list multiples of each number until the first common multiple is found. And that would be the least common multiple.

Multiples of 2:

2, 4, 6, 8, 10, 12

Multiples of 8:

8, 16, 24

Therefore, LCM(2, 8) = 8 and Lauren is incorrect.

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Answer:

D

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

Answer:

[tex]p+166=249[/tex]; [tex]p=83[/tex] pages

Step-by-step explanation:

The number of pages that need to be read plus the 166 pages already read must add to 249.

Answer:

False

Step-by-step explanation:

The first value given is the numerator even if its greater than the denominator.

Answer:

Step-by-step explanation:

First, they want you to recall that in a right triangle,  that you know the angle y, because you know two of the angles already.   and you know the total is 180°  around a triangle.  There is a lot you're supposed to remember.   Anyway,  

180 = y + 62+90

180-62-90 = y

28 = y

see??

z =  the same length, as triangle  IHK on the same segment

z= 1

Answer:

Step-by-step explanation:

It could be apple because there is more apple that blackberry fruit drops

Step-by-step explanation:

apple flavoured and 8 are blackberry

flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at

random. Calculate the probability

Answer:

x-intercept: (-7,0)

y-intercept: (0,9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The transformation represented by g(x) = 2(x-3)^2+4 is a parabolic stretch of the function f(x) = x^2.

The function f(x) = x^2 is a parabola with vertex at (0, 0). The transformation represented by g(x) = 2(x-3)^2+4 stretches this parabola horizontally by a factor of 2, shifting it 3 units to the right and 4 units up.

The resulting function g(x) = 2(x-3)^2+4 is a parabola with vertex at (3, 4). It is the graph of f(x) = x^2 that has been stretched horizontally by a factor of 2, shifted 3 units to the right, and 4 units up.

Therefore, the margin of error for the 90% confidence interval is 1.32. This means that you can be 90% confident that the true population mean falls within a range of 1.32 around the sample mean.

To find the margin of error for a 90% confidence interval, you can use the following formula:

margin of error = z * standard deviation / sqrt(n)

Where z is the z-score for the desired level of confidence (in this case, 90%), standard deviation is the standard deviation of the sample, and n is the sample size (in this case, 120).

Plugging in the values, you get:

margin of error = 1.645 * 9.1 / sqrt(120)

= 1.645 * 9.1 / 11.1

= 14.72 / 11.1

= 1.32

The middle of the set of values is represented by the mean. This value is the mean of all values in the data collection. In statistics, the middle quantity, referred to as the mean, is known as the average.

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Answer: seth made 3 banana bread and 2 bananas where left over

Step-by-step explanation:

so draw 11 bananas circle three until you are left with less than three

count how many circles have three bananas which is 3 circles

now count how many bananas are not in a circle which is 2

i have adhd so i'm not good at explaining things so yeah hope this helps

:)