Solve for t.
-17 < 3t-14 + 14ts -8

Answer: C, D, E

Step-by-step explanation:

A negative multiplied by a negative is a positive. In option A, for example, a one is implied in front of the first negative sign, thus: -1 * (-1/2) = 1/2. The same goes for option B, leaving C, D, and E as the only negative values.

Answer: G=62, I = 62, H =54

Step-by-step explanation:

3x+26=4x+14

x=12

G=36+26 = 62

180-62-62=54

1. The transformation is: A. rotation 90° clockwise about the origin.

2. Based on the alternate exterior angles theorem, the value of x is: 2.

3. x = 10

4. The slope of the given line is: A. 2

The slope of a line = change in y/change in x.

The theorem states that alternate exterior angles are congruent if they each lie on lines that are parallel to each other.

1. The transformation that took UVWX to U'V'W'X' is: A. rotation 90° clockwise about the origin.

2. 26x - 2 = 50 [based on the alternate exterior angles theorem]

Solve for x

26x = 50 + 2

26x = 52

x = 52/26

x = 2

The value of x is: D. 2.

3. 9x + 15 + 6x + 15 = 180 [based on the same-side interior angles theorem]

Solve for x

15x + 30 = 180

15x = 180 - 30

15x = 150

x = 150/15

x = 10

The value of x is: C. 10

4. Using two points on the line, (1, 1) and (-1, -3), we have:

Slope of the line = (-3 - 1)/(-1 - 1) = -4/-2

Slope of the line = 2

The slope is: A. 2

Learn more about the slope on:

https://brainly.com/question/13861479

#SPJ1

Answer: 3:5

Step-by-step explanation:

We are looking for the ratio of baskets made to baskets attempted

made: attempted

9:15

We can divide each number by 3

9/3: 15/3

3:5

The ratio of baskets made: attempted  is 3:5

The area of the parallelogram based on the given parameters is 0.0324 m²

Area of the parallelogram = Base × height

= 0.36 m × 0.09m

= 0.0324 m²

Total cost of Lilian's apple = Cost of each pound of apple × Weight of Lilian's apple

= $1.77 × 1.32 lb

= $2.3364

Ethan:

3.045 × 1.3

= 3.9585

Anica:

3.045 × 1.3

= 39.585

Ethan is more correct because he moved the decimal point 4 places to the left.

Total mass of the green rope = Length of the green rope × Mass of each meter of the rope

= 60.5 × 0.052

= 3.146 kg

0.102 × 7.3

= 0.7446

Therefore, the area of the parallelogram when calculated is 0.0324 m²

Learn more about parallelogram:

https://brainly.com/question/970600

#SPJ1

Answer:

BC- AB < CA < AB + BC

Step-by-step explanation:

The sides opposite the larger angles are longer than the sides opposite smaller angles.

So, BC (opposite < A) is longer than AB (opposite < C) so,

BC > AB

The other side AC cannot be greater than AB + BC, otherwise the triangle would not exist, so,

AC < AB + BC

Also, CA > BC - AB  

The range for AC is

BC- AB < CA < AB + BC

Answer:

32

Step-by-step explanation:

this expression cannot be simplified because there are no like terms to combine with the numbers in the expression.

the number that goes in the ? is 32

The equation of the line containing the points (1, 3) and (-1,2) is [tex]y = \frac{1}{2}x + \frac{5}{2}[/tex].

So, Option(c) is the correct one.

Given points are (1, 3) and (-1,2).

The slope of the given line is =  [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

                                                 =  [tex]\frac{2 - 3}{-1 -1}[/tex]

                                                 =  [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

The equation of the line is given by,

y - y₁ = m(x - x₁)

[tex]y - 3 = \frac{1}{2} (x - 1)[/tex]

[tex]y = \frac{1}{2}x - \frac{1}{2}+3[/tex]

[tex]y = \frac{1}{2}x + \frac{5}{2}[/tex]

To know more about equation of lines visit:

https://brainly.com/question/17130155

#SPJ9

Each ribbon will be of 2/3 yards for her 6 dolls .

Division is one of the four fundamental arithmetic operations, or the process by which two numbers may be joined to produce a new number. Addition, subtraction, and multiplication make up the remaining operations. A division in mathematics is the dividing of a sum into equal portions. One can divide a group of 20 people into four groups of five, five groups of four, and so on.

length of each ribbon = 4 / 6 = 2/3 yards each

learn more about division here :

brainly.com/question/21416852

#SPJ13

The spread and consistency of data.

The amount of rye seed and bluegrass seed used in the mixture is 109.8 and 70.2 pounds respective.

In response to the given question;

Let's say the amount of rye seed is 'x.'

The cost of rye seed = $6.50 per pound

Let's say the amount of bluegrass seed is 'y.'

The cost of bluegrass seed = $3.50 per pound.

The total seeds are 180 pounds.

Thus,

x + y = 180

x = 180 - y .......eq 1.

The other equation for the total cost of $5.33 per pound is;

6.50x + 3.50y = 5.33×180

Put the value of x from eq 1.

6.50(180 - y) + 3.50y = 959.4

1170 - 6.50y + 3.50y = 959.4

3y = 210.6

y = 70.2

x = 180 - 70.2 = 109.8

Thus, the amount of rye seed and bluegrass seed used in the mixture is 109.8 and 70.2 pounds respectively.

To know more about the method of substitution, here

brainly.com/question/22340165

#SPJ9

The answer is x=2.

[tex](6^{x}) ^{10} =(6^{12} )^{2} /6^{4}[/tex]

[tex]6^{10x} =(6^{12}) ^{2} -6^{4}[/tex]  

10x=24-4

10x=20

x=20/10

x=2

To more learn about exponents refers to:

https://brainly.com/question/11975096

#SPJ13

Answer:

The answer is C

Step-by-step explanation:

The increase between the numbers in a arithmetic sequence is always the same, in this case the number always increased by 3.

Here is a another example

3, 5, 7, 9

The difference between the consecutive terms is always 2

IT MEANS THE GRADIENT OF THE NEW EQUATION IS GOING TO BE

[tex] \frac{2}{5} [/tex]

TOO

[tex]2 = \frac{2}{5} ( - 7) + c \\ 2 = \frac{ - 14}{5} + c \\ c = 2 + \frac{14}{5} \\ c = \frac{24}{5} [/tex]

THE EQUATION PARALLEL TO THE ONE GIVEN NOW IS

[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]

Answer:

Step-by-step explanation:

Here, what they're really saying is to find  3 different ways to rearrange the letters A, B, and C. Then, put them together to give the angle a combination of "names"

(1 ABC

(2 BAC

(3 CAB

Hope this helps! :D

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. The system of inequalities graphed is y > x² - 4 and y < x² + 6.

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem demands a variety of solutions and those solutions must satisfy many constraints, systems of inequalities are used.

A system of inequalities is one where the total number of inequalities is greater than or equal to the number of variables.

A system of inequalities may have,

The equation of the vertical parabola with y-intercept -4 is equal to

y = x² - 4.

The solution of the inequality is the shaded area above the dashed line.

The inequality must be y > x² - 4

2) The equation of the vertical parabola with y-intercept 6 is equal to y = x² + 6.

The solution of the inequality exists the shaded area below the dashed line. The inequality must be y < x² + 6

The system of inequalities graphed is

y > x² - 4

y < x² + 6

To learn more about system of inequalities refer to:

https://brainly.com/question/9290436

#SPJ13

The operation of Subtraction can be used to result in the smallest co-efficient term on the x term.

In the given question, Two functions are given f(x) = 3x - 1, and g(x) = 3x + 4. Now we have to find out which mathematical operation results in the smallest co-efficient term on x. We know that the basic Operations are:    

=> Now, we use the operation of Subtraction for the two functions. Which can be calculated by: f(x) - g(x), Calculating we get:

=> (3x - 1) - (3x - 4)

=> 3x -1 -3x + 4

=> 3

Here we get the Coefficient of x = 0 which is the lowest.

Hence, Subtraction will be used

To know more about Mathematical Operations, Click here:

https://brainly.com/question/12210310

#SPJ9

Answer:

8

Step-by-step explanation:

Billy started with 15 apples.

Lost 2, and another 5, In total 7 apples were taken.

" Lost " Indicates subtraction.

The equation would look like this: 15 - 7.

Subtract.

Hence, your answer should be 8.

Hopes this helps!

Have a good day :).

Answer: 8

Step-by-step explanation: 15 - 2 = 13 and 13 - 5 = 8.

Answer:

B

Step-by-step explanation:

Reflection over x axis

This is a reflection over the x-axis (B)

Answer: -4096

Step-by-step explanation: Use the geometric sequence formula to find the 10th term (image attached). So, the 10th term = 8(-2)^9

Note: the common ratio can be found by 2ndterm/1stterm

Answer:

a₁₀ = -4096

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence:

[tex]\boxed{a_n=ar^{n-1}}[/tex]

where:

Given terms of the geometric sequence:

To find the common ratio (r), divide consecutive terms:

[tex]\implies \dfrac{a_3}{a_2}=\dfrac{32}{-16}=-2[/tex]

Substitute the values of a and r into the formula to create an equation for the nth term of the sequence:

[tex]\implies a_n=8(-2)^{n-1}[/tex]

To find the 10th term of the sequence, substitute n = 10 into the equation:

[tex]\begin{aligned}\implies a_{10}&=8(-2)^{10-1}\\&=8(-2)^{9}\\&=8(-512)\\&=-4096\end{aligned}[/tex]

Therefore, the 10th term of the given geometric sequence is -4096.

Learn more about geometric sequences here:

https://brainly.com/question/27783194

https://brainly.com/question/28160972

Considering the concepts of the diameter and the radius of a circle, it is found that the correct statement is:

The ratio of the lengths of EF and AD is 2:1.

In the context of the circle given in this problem, we have that:

hence:

EF = 2AD, meaning that the ratio is of 2:1.

More can be learned about the diameter and the radius of a circle at https://brainly.com/question/390660

#SPJ1

Answer:

19

Step-by-step explanation:

Answer:

9d :)

Step-by-step explanation:

So, we have the equation 5c + 9d - 5c

We combine our like terms which are 5c and -5c bc they both have the variable "c"

When we do 5c + -5c we get 0 since were adding a negative and a positive. This leaves us with just 9d, therefore, that's your answer!

Answer:

$2139.58

Step-by-step explanation:

First, you find how much each paycheck is worth with taxes excluded, since she is only keeping 79% of the money you multiply 65,000 by 0.79=51350. Since she is getting paid twice a month, she is getting 24 paychecks a year. So you diving 51350 by 24 to get 2139.58333 but round down to 2139.58

Answer:Your friend is incorrect

x=-2

Step-by-step explanation:

Add 6 to both sides

-6+2x=-10

+6          +6

2x=-4

Then divide each side

2x/2=-4/2

x=-2

Hence proved that triangle   AB = 3(3) - 1 = 9 - 1 = 8.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

Given that,

AB + AC = AC

3y - 1 + 7y = 29

10y = 29 + 1 = 30

y = 30/10 = 3

Therefore, AB = 3(3) - 1 = 9 - 1 = 8.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ9

Answer:

c=d-ab

Step-by-step explanation:

ab+c=d

move over to the other side

change sides change signs

c=d-ab

Answer:

c=d−ab

Subtract ab from both sides of the equation

The number of children and the number of adults that swam in the swimming pool that day are 69 and 366 respectively.

Given that:-

Total number of people that swam in the swimming pool = 435

Price for children = 1.25

Price for adults = 2

Total receipts = 818.25

We have to find the number of  children and the number of adults that swam in the swimming pool that day.

Let the number of children that swam that day be x and,

the number of adults that swam that day be y.

Hence, we can write,

1.25x + 2y = 818.25  ...(1)

x + y = 435 ... (2)

Solving the linear equation in two variable by elimination method

Multiplying (2) by 2 , we get

2x + 2y = 870 ... (3)

(3) - (1)

0.75x = 870 - 818.25

0.75x = 51.75

x = 51.75/0.75

x = 69

From (2), we can write,

69 + y = 435

y = 435 - 69

y= 366

Hence, the number of children and the number of adults that swam that day are 69 and 366 respectively.

To learn more about elimination method, here:-

https://brainly.com/question/14619835

#SPJ1

Answer:

2³ * 3² * 5

Step-by-step explanation:

Prime factorize 360 and find how many times each number is repeated and write in index notation.

360 = 36 * 10

       = 6 * 6 * 2 * 5

       = 2 * 3 * 2 * 3 * 2 * 5

      = 2 * 2 * 2 *  3 * 3 * 5

      = 2³ * 3² * 5

The equivalent expression for 10⁶ / 10⁴  will be equal to 10²

Given,

Exponents: 10⁶ and 10⁴

We have to find an equivalent expression for 10⁶ / 10⁴

Equivalent expression:

In general, something is considered equal if two of them are the same. Similar to this, analogous expressions in mathematics are those that hold true even when they appear to be different. However, both forms provide the same outcome when the values are plugged into the formula.

Here,

aˣ / aⁿ = x - n

So,

10⁶ / 10⁴ = 6 - 4 = 2

That is,

The equivalent expression for 10⁶ / 10⁴  will be equal to 10²

Learn more about equivalent expression here:

https://brainly.com/question/28170201

#SPJ1