Solve the inequality -9x/11 - 7 < -5. x > x < - x < x > -

Answer:

0.0555 meter =

55.5 millimeters

Answer:

55.5mm

Step-by-step explanation:

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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Answer:

It's B. 2/5

Step-by-step explanation:

Because: line G to E is 2/5 of G to F.

Answer:

\(274\,\text{in}^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)

Answer:

(-3, -5) This is my answer I hope it helps

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

hope this is what your looking for

Answer:

x = -2

Step-by-step explanation:

\(-4+x=\frac{3}{4}x-\frac{9}{2}\)

\(\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\)

\(-4+x+4=\frac{3}{4}x-\frac{9}{2}+4\)

\(Simplify\)

\(x=-\frac{1}{2}+\frac{3}{4}x\)

\(\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}\)

\(x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x\)

\(\frac{1}{4}x=-\frac{1}{2}\)

\(\mathrm{Multiply\:both\:sides\:by\:}4\)

\(4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)\)

\(x=-2\)

~lenvy~

The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

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

= (3.5, 1.5)

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The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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In order to calculate the rate, we calculate the variation of temperature and time

then, calculate the rate by dividing the variation of temperature by the variation of time

the rate is equal to -2°C per hour, then from 8:00 pm to 11:00 pm, there is a difference of 3 hours.

Multiply the time by the rate:

The temperature drops another 6°C, then,

Answer:

The temperature will be about -23°C

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

2500m^3

Step-by-step explanation:

beucase it is the most reasonable

Answer:

no solutions

Step-by-step explanation:

x+y = 5

-2x-2y = 10

Multiply the first equation by 2

2x+2y =10

Add this to the second equation

2x+2y =10

-2x-2y =10

0 =20

This is not true so there are no solutions

♪LOOK AT THIS GRAPH♪

*A W K W A R D P A U S E*

Let, number of children and adults swam at the public pool that day is x and y.

So, x + y = 379   .....1)

It is given that daily prices are $1.75 for children and $2.00 for adults.

Also, the  receipts for admission totaled $693.50.

So, 1.75x + 2y = 693.50  .....2)

Putting value of y from equation 1 to equation 2 , we get :

1.75x + 2( 379 - x ) = 693.50

758 - 2x + 1.75x = 693.50

0.25x = 64.5

x = 258

So, y = 379 - 258 = 121

Therefore, number of children are 258 and adults are 121.

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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Solution of the expression are,

⇒ x = - 5, x = 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ \(12^{x^{2} + 5x - 4} = 12^{2x + 6}\)

Now, We can compare as;

⇒ x² + 5x - 4 = 2x + 6

Solve for x as;

⇒ x² + 3x - 10 = 0

⇒ x² + 5x - 2x - 10= 0

⇒ x (x + 5) - 2 (x + 5) = 0

⇒ (x + 5) (x - 2) = 0

⇒ x = - 5, x = 2

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Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

A

Step-by-step explanation:

The perimeter of the right triangle is 15 units

The dimensions of the triangle is solved by Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

Since F is mid segment then BF = F'C and DE = 2 = F'C

hence B'C = B'F + F'C = 2 + 2 = 4

In a rectangle B'C = AD = 4 = EC

F'E² = F'C² + EC²

F'E² = 2² + 4²

F'E² =  4 + 16

F'E = √20

F'E = 4.47

Solving for AE

AE² = AD² + DE²

AE² = 2² + 4²

AE² =  4 + 16

AE = √20

AE = 4.47

Solving for A'F

A'F² = AE² + FE²

A'F² = √20² + √20²

A'F² =  20 + 20

A'F = √40

A'F = 6.32

The perimeter of the triangle is

P = A'F + AE + FE

P = 6.32 + 4.47 + 4.47

P = 15.26

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Answer:

Both of them are right

The amount of carpet needed is 189 7/8 feet

Step-by-step explanation:

Here, we want to get the person with the right calculations step between Michael and Tracy

From what we can see in the question, both exactly have the same calculations

They only differ in the number to put first

So we can say both are right

The amount of carpet needed will be;

12 1/4 * 15 1/2

= 49/4 * 31/2 = 1519/8

= 189 7/8 square feet

Answer:

it's third option the one who says 10 units up

Answer:

The answer is D. A=1/2(7 to the power of 2) 12 to the power of 2)

Step-by-step explanation:

Answer:

s= 26-10

Step-by-step explanation:

You don't exactly have to use "S" as the variable, but since she paid $26 in all and we know that the hammer cost $10, you would just subtract 26 from 10 and get 16, the price of the screwdriver.

\(a = 36\) ✔

Step-by-step explanation:

\(18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36\)

\(\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆\)

Answer:

10

Step-by-step explanation:

because i know

The formula for rate given is not ideal, as it does not take into account factors like the distance traveled or additional services offered by the bus company. It also does not account for additional fees or taxes. Therefore, it does not provide an accurate representation of the price and should not be used.

(a) R(n) = r(n) * n = (8 − 0.05(n − 80)) * n

(b)

n r (dollars per person) R (dollars)

80 8 640

90 7.5 675

100 7 700

(c) This formula for the rate is not ideal, as it does not take into account factors like the distance traveled or any additional services that the bus company may offer. It also does not account for any additional fees or taxes. I would not use this formula, as it does not provide an accurate representation of the price the bus company should charge for its services.

The formula for rate given is not ideal, as it does not take into account factors like the distance traveled or additional services offered by the bus company. It also does not account for additional fees or taxes. Therefore, it does not provide an accurate representation of the price and should not be used.

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Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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