24. the numbers in a sequence

Variable
Term
Difference
Evaluate
Exponent

The three angles of the triangles are ∠A= 60°, ∠B = 75° and ∠C = 45°.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

The ∠5y + ∠7y = 180

∠12y = 180

y = 180/12 = 15

Hence the ∠CBA = 75° AND ∠ACB = 45°.

Now ∠A + 75+45 = 180

∠A = 180-120 = 60°

Hence, the three angles of the triangles are ∠A= 60°, ∠B = 75° and ∠C = 45°.

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Answer:

2x^2-7x-6

Step-by-step explanation:

P=A+B+C=10x^2-6x+1

A=5x+7

B=8x^2-4x

C=?

= 10x^2-6x+1-(5x+7+8x^2-4x)

=10x^2-6x+1-(8x^2-6x+7)

=2x^2-7x-6

The answer of how many filter has he not posted is 60, using fraction.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

John has 96 fliers

He post 1/4 of fliers so 96*1/4=24

So left post will be 96-24 = 72

So post 1/6 of remaining so 72*1/6=12

72-12=60

Hence 60 many filter has he not been posted.

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Two polygons are similar if their respective sides have a constant ratio and their corresponding angles are congruent (in other words, if they are proportional).

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The products that are less than the value represented by the model are

0.23 x 0.4 , 1.5 x 0.6 , 1.85 x 0.3.

From the question, we have

the model has a grid of size 10 *10 = 100

Out of 100, 75 are covered.

75 grid = 75/100 =0.75

The products that are less than the 0.75 are

0.23 x 0.4 , 1.5 x 0.6 , 1.85 x 0.3.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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[tex]2x^2+20x+50[/tex]

[tex]2(x^2+10x+25)[/tex]

find two numbers than sum to 10 and multiply to 25:

5 + 5 = 10

5 * 5 = 25

so the factorization is:

[tex]2(x+5)(x+5)\\\\= 2(x+5)^2[/tex]

Answer:

-2

Step-by-step explanation:

it cannot be a function if there are more than one of the same x’s

The radius and diameter for the given figure are.

What is diameter?

In pure mathematics, a diameter of a circle is any line phase that passes through the middle of the circle and whose endpoints lie on the circle. It can even be outlined because the longest chord of the circle.

Main body:

A) as radius given = 3yd

so diameter = 2r

diameter = 2*3

                = 6 yd

B) diameter given = 92 in

as d = 2r

92 = 2r

r = 46 in

C) as radius given = 23 ft

so diameter = 2r

diameter = 2*23

               = 46 ft

Hence the values are as follows.]

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ANSWER:

The equation used to represent the situation is 3x + 4y = 39.53, and Caroline spent 6.29 per lipstick.

EXPLANATION:

We will use x for eyeshadow and y for lipstick.

The equation would be: 3x + 4y = 39.53

3(4.79) + 4y = 39.53

14.37 + 4y = 39.53

14.37 - 14.37 + 4y = 39.53 - 14.37

4y = 25.16

4y / 4 = 25.16 / 4

y = 6.29

Check.

3x + 4y = 39.53

3(4.79) + 4(6.29) = 39.53

39.53 = 39.53

I hope this helps! :D

The required equation of the line is y = -(0.5)x + 225 expressed in slope-intercept form.

Let x represent the number of months Jason's gift card has been inactive after 1 year and let y represent Jason's card balance.

We take the two points (0, 225) and (1, 224.5) in the given table.

The required equation of the line is

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 225

x₂ = 1, y₂ = 224.5

Substitute values in the equation, we get

y - 225 = (224.5-225 /1-0)(x - 0)

y - 225 = -(0.5)x

y = -(0.5)x + 225

Therefore, the required equation of the line is y = -(0.5)x + 225.

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Answer:

Rounded to the nearest 0.01 or the Hundredths Place. = 324.70

Step-by-step explanation:

The proportion of the children identified orange as their favorite type of juice is 400 / 1000.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

From the table

Adults who like oranges= 600

and, Children who like oranges = 400

So, proportion of the children identified orange as their favorite type of juice

= 400/ 1000

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Answer:

Revolving credit, as its name suggests, is intended to be more flexible. As long as you adhere to your credit terms, you can use it for a range of purchases. Non-revolving credit frequently has lower interest rates and consistent repayment schedules because it is typically utilized for a specific purpose, like a car loan or student loan.

Answer:

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

Choices:

A) 2x + 10 = 4x - 30

B) angle A+ angle B+ angle C+ angle D=180°

C) angle A+ angle B+ angle C+ angle D=360°

D) AB = CD

Find the value of x:

Find the measure of angle DAB:

Correct choice is A.

Answer:

Step-by-step explanation:

1) Finding the incorrect option?

The incorrect statement is,

→ angle A+ angle B+ angle C+ angle D=180°

(Because, A + B + C + D = 360°)

Hence, option (b) is the answer.

2) Solving for angle DAB?

Forming the equation,

→ 2x + 10 = 4x - 30

Now the value of x will be,

→ 2x + 10 = 4x - 30

→ 2x - 4x = -30 - 10

→ -2x = -40

→ x = -40/-2

→ x = 40/2

→ [ x = 20° ]

Then value of angle DAB is,

→ A = 2x + 10

→ A = 2(20) + 10

→ A = 40 + 10

→ [ A = 50° ]

Hence, option (a) is correct.

Answer: B

Step-by-step explanation:

Because 7 and 2/3 is almost the same as III -7.82 III and [tex]\sqrt65[/tex] is 8.0622577483 so first is 7 2/3 then III -7.82 III and then the root of [tex]\sqrt65[/tex]

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

45 degrees

Step-by-step explanation:

angle AXD is equal to BXD plus AXB

95-x=(X+20)+(X+30)

95-x=2x+50

   +x.  +x

95=3x+50

-50.    -50

45=3x

/3.   /3

15=x

Now fill in X for bxd

15+30

45

Hopes this helps please mark brainliest

Answer:

5pi/12

105 degrees

Step-by-step explanation:

I can help with the first 2 too many answers in one will get my answer deleted

7pi/12  x 180/pi

7x15=105

Hopes this helps please mark brainliest

The Rogers family's sprinkler worked for 25 hours and Walker family's sprinkler worked for 20 hours

The water output rate of Roger's family's sprinkler = 30 liter per hour

The water output rate of Walker family's sprinkler = 20liter per hour

Total number of hours combined = 45 hours

Consider the number of hours that Rogers family's sprinkler work = x

The number of hours that Rogers family's sprinkler work  = y

Then the equation will be

x  + y = 45

x = 45 -y

Total water output = 1150 liters

30x + 20y = 1150

Here we have to use substitution method

30(45-y) + 20y = 1150

1350 - 30y + 20y = 1150

1350 - 10y = 1150

10y = 1350 - 1150

10y = 200

y = 200/10

y = 20 hours

Then,

x = 45 - y

x = 45 - 20

x = 25 hours

Hence, the Rogers family's sprinkler worked for 25 hours and Walker family's sprinkler worked for 20 hours

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Answer:

[tex]-2 > x[/tex]

Step-by-step explanation:

We can solve the given inequality like we'd solve a regular equation. The only problem we should be looking out for is division/multiplication by a negative number - doing so would result in flipping the direction the inequality sign is facing (i.e. dividing by -1 would change < to > and vice versa.)

[tex]3x + 7 > 4x + 9 \text{ // Subtract 3x}\\3x + 7 - 3x > 4x + 9 - 3x\\\to 7 > x + 9 \text{ // Subtract 9}\\7 - 9 > x + 9 - 9\\\to -2 > x[/tex]

3x + 7 > 4 x + 9

3x + 7 > 4 x + 9

Ascending order - least to greatest

Answer: 2.35%, 2.3, [tex]2\frac{1}{3}[/tex], [tex]\frac{25}{9}[/tex]

Explanation:

0.235 (23.5%) is the least

2.3 (the actual decimal in the entire group) is the second least

2.33 ([tex]2\frac{1}{3} =\frac{7}{9}[/tex] as an improper fraction and [tex]\frac{7}{9} = 2.33[/tex]is the third least

2.78 ([tex]\frac{25}{9}[/tex] is already an improper fraction. In decimal version, it is 2.78) is the greatest.

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

Have a great day and God bless! :D

The probability that at least one of the two customers buy a banana ice cream is of:

55/64.

The probabilities are calculated from the tree diagram given by the image at the end of the answer.

The nodes that end up with none customers buying a banana ice cream are given as follows:

Cookie dough -> Cookie dough.

The probability of each node is given by:

3/8.

Hence the probability that none of the two customers buy a banana ice cream is of:

3/8 x 3/8 = 9/64.

None and at least one customer buying a banana ice cream are complementary events, hence the probability is obtained as follows:

1 - 9/64 = 64/64 - 9/64 = 55/64.

The tree diagram that models the situation is given by the image presented at the end of teh answer.

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Answer:

56

Step-by-step explanation:

24x2+4x2

Simplify

48+8

Solve

56

Answer: D. x + 2 = y

Step-by-step explanation:

       The only answer option that represents a linear function is option D. The other three, A, B and C, all represent quadradic functions. You can tell they're quadradic functions because the highest degree is a 2, or a square. This gives a parabola and is not linear.

       With this information in mind, the answer is;

             "D.x+2=y"

Through the use of a protractor, angles are measured in degrees (°). In order to calculate or draw angles in terms of degrees, a protractor is a measuring tool that is utilized.

Does a linear pair have a 180 degree angle?

How to find the measure of the angle?

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Answer:

Below 30⁰F or 0⁰C

Step-by-step explanation:

Water freezes at those temperatures

The length of the other diagonal is 17 feet.

What is diagonal?

When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them.

Main Body:

Given:

A construction worker needs to put a rectangular window on the side of a building.

He knows from measuring that the top and bottom of the window have a width of 8 feet and the sides have a length of 15 feet.

He also measured one diagonal to be 17 feet.

Solution:

As we know that the rectangle is a particular type of parallelogram.

So, the rectangle has diagonals that have equal lengths.

Therefore, one diagonal length is given as 17 feet.

Hence, the other diagonal length will be equal to the given diagonal length.

So, the length of the other diagonal is 17 feet.

Hence, Option B is the correct answer.

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The required roots of the given radical expressions are √64 = 8, ⁴√ -1 = 4i, and ³√1000 = 10. The required expressions for the given radical are ³√-64 = 12i, (2⁹)¹/³ = 8, and (11²)¹/²=11.

Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.

The radical expressions are given in the question

As per the given question, the required solution would be as:

√64 = √(2 × 2 × 2 × 2 × 2 × 2)

√64 = 2 × 2 × 2 = 8

⁴√ -1 = 4i (apply the imaginary number rule)

³√1000 = ³√(10 × 10 × 10)

³√1000 = 10

(⁴√ 1)⁷ = (1)⁷ = 1

³√-64 = (³√2 × 2 × 2 × 2 × 2 × 2 × -1 )

³√-64 = 2 × 2(³√-1)

³√-64 = 4(3i) = 12i (apply the imaginary number rule)

(2⁹)¹/³ = [tex]2^{9/3} = 2^3 = 8[/tex]

(11²)¹/² = [tex]11^{2/2} = 11[/tex]

Thus, the required roots of the given radical expressions are √64 = 8, ⁴√ -1 = 4i, and ³√1000 = 10. The required expressions for the given radical are ³√-64 = 12i, (2⁹)¹/³ = 8, and (11²)¹/²=11.

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The point that could represent the numbers of adults and child haircuts that meet the stylist goals exists 25, 0.

A function that converts zero or more input values into a clearly defined output value is referred to in mathematics as an operation. The operation's complexity is measured by the number of operands.

A value is computed using operands and a math operator as part of the mathematical "operation." In order to be applied to the provided operands or numbers, the math operator's symbol has predetermined rules.

Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then utilizing 25, 0 will be:

= 15(25) + 9(0)

= 375 + 0

= $375

She has earned at least 360 dollars and cut about 25 haircuts this week.

Therefore, the correct answer is option A. 25, 0.

The complete question is:

A hairstylist change $15 for an adult haircut and $9 for a child haircut. She wants to earn at least 360 dollars and cut a maximum of 30 haircuts this week. The graphs represent the hairstylist constants.

Which point could represent the numbers of adults and child haircuts the meet the stylist goals.

A. 25, 0

B. 15, 20

C. 10,15

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