Determine the measure of angle DBC

Answer Options:
79.5°
21°
318
159°

The equation can be written as g(x) = 65x + 29

What is the equation?

In mathematics, an equation is a statement that two expressions are equal. It typically consists of two parts: the left-hand side and the right-hand side, separated by an equal sign. For example, the equation 2x + 1 = 5 is a statement that the expression 2x + 1 is equal to 5.

The total cost, C, for boarding Liz's dog for x days can be represented by the following equation:

C(x) = 65x + 29

In this equation, 65x represents the daily boarding fee for x days, and 29 represents the one-time fee for the flea bath.

This equation is linear and can be written in the form g(x) = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 65, which represents the daily boarding fee, and the y-intercept is 29, which represents the one-time fee for the flea bath. So the equation can also be written as:

g(x) = 65x + 29

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The expression equivalent to 30÷(3+x) is 30 divided by (x+3).

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the expression x/2 + 6. Complex riddles are solved using mathematical expressions.

Given:

30÷(3+x)

Now, we know the fraction form of is written as x/y, where x is numerator and y is denominator.

So,  Numerator = 30

Denominator = (3+x)

Hence, the expression 30/ (3+ x)

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We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

We start by defining the two variables we will be using:

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

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Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

\(ML=58\)

Step-by-step explanation:

Given

\(JK=3x+11,ML=10x-12,NP=45\)

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

\(JK:NP=NP:ML\)

Express as fraction

\(\frac{JK}{NP}=\frac{NP}{ML}\)

Cross Multiply

\(JK*ML=NP*NP\)

Substitute values:

\((3x+11)*(10x-12)=45*45\)

Expand

\(30x^2-36x+110x-132=2025\)

\(30x^2+74x-132=2025\)

Collect like terms

\(30x^2+74x-132-2025=0\)

\(30x^2+74x-2157=0\)

Using a calculator:

\(x\) ≈ \(-10\) and \(x\) ≈ \(7\)

Given that:

\(ML=10x-12\)

Substitute values for x

\(ML=10*-10-12=-100-12=-112\)

\(ML=10*7-12=70-12=58\)

ML cannot be negative; So:

\(ML=58\)

The solutions to this system of conics is; x = 6 and y = -4

We are given the system of equations as;

(x - 1)² + (y + 4)² = 25    ------(eq 1)

(x - 1)²/25 + (y + 4)²/100 = 1  ------(eq 2)

From eq 1, we can make (x - 1)² the subject to get;

(x - 1)² = 25 - (y + 4)²  ----(eq 3)

Plug in eq 3 into eq 2 to get;

(25 - (y + 4)²)/25 + (y + 4)²/100 = 1

Multiply through by 100 to get;

4(25 - (y + 4)²) + (y + 4)² = 100

100 - 4(y + 4)² +  (y + 4)² = 100

Solving for y gives y = -4

Plug in -4 for y into eq 1 to get;

(x - 1)² + (-4 + 4)² = 25

√(x - 1)² = √25

x - 1 = 5

x = 6

Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.

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It can be concluded that in 2018, approximately 21.7% of children and adolescents in the United States displayed serious psychological disturbances and needed clinical treatment.

The percentage of children and adolescents in the United States displaying serious psychological disturbances is calculated by dividing the number of children and adolescents with serious psychological disturbances by the total number of children and adolescents in the United States. This can be expressed mathematically as:

% = (Number of children and adolescents with serious psychological disturbances / Total number of children and adolescents in US) x 100

Using estimates from 2018, approximately 48.5 million children and adolescents in the United States, and 10.5 million of them displaying serious psychological disturbances, the percentage of children and adolescents in the United States displaying serious psychological disturbances in 2018 can be calculated as:

% = (10.5 million / 48.5 million) x 100 = 21.7%

Therefore, it can be concluded that in 2018, approximately 21.7% of children and adolescents in the United States displayed serious psychological disturbances and needed clinical treatment.

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Answer:

i believe is 4

Step-by-step explanation:

If you 2y=-4x+12

need to get the Y by it self

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Step-by-step explanation:

Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:

Ice cream = 100 - 10 = 90

90 = 521

100 = X

100 x 521/90 = X

52,100 / 90 = X

578.88 = X

Broccoli = 100 + 25 = 125

125 = 791

100 = X

100 x 791/125 = X

79,100 / 125 = X

632.8 = X

Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Answer: You make $280 per week. $1,120 in all per month.

Step-by-step explanation: 8.75 times 32 = 280. 280 times 4 = 1,120

Answer:

  B, C, E

Step-by-step explanation:

Translation is a rigid transformation. As such, it preserves sizes and angles. "Isometric" is another way to say "the size is preserved."

Answer:

80

Step-by-step explanation:

Multiples of 16:

16, 32, 48, 64, 80, 96, 112

Multiples of 20:

20, 40, 60, 80, 100, 120

Multiples of 40:

40, 80, 120, 160

Answer:

SBAC Practice Test Grade 6 Part 1 Fishy Weather Conditions By Phillip Cho Lajamanu, Australia, is a dry little town with 600 residents

Step-by-step explanation:

Answer: the awnser is 7

Step-by-step explanation: when numbers are in | ? | and they are negative they just turn positive

Answer:

Step-by-step explanation:

The answer is A

If it's not then i'm sorry

Answer:

None of the above

Step-by-step explanation:

A. b ≠ 0

B. Solve for b:

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

Cross multiply:

-49 = 4 b^2

-49 = 4 b^2 is equivalent to 4 b^2 = -49:

4 b^2 = -49

Divide both sides by 4:

b^2 = -49/4

Take the square root of both sides:

Answer: b = (7 i)/2 or b = -(7 i)/2

Answer:

Only one scalene triangle with side lengths of 12 in, 15 in, and 18 in exists. Therefore, exactly one unique triangle exists with the given side lengths.

Step-by-step explanation:

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

Answer:

negative improper fraction 乁( •_• )ㄏ

Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

The two positive numbers are 55, and 55.

Given that,

Two positive numbers whose product is a maximum and whose sum is 110.

To Find :  Two positive real numbers with a maximum product whose sum is 110.

x + y = 110

x = 110-y

Area = xy = (110-y)y

A = 110y-y^2

Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55

x + y = 110

x + 55 = 110

x = 55

and y is also 55.

Therefore, the two positive numbers are 55, and 55.

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Answer:

x=-2.5

Step-by-step explanation:

3x-12+7=5x

-5=2x

-2.5=x

Answer:

-5/2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(x−4)+7=5x

Step 1: Simplify both sides of the equation.

3(x−4)+7=5x

(3)(x)+(3)(−4)+7=5x(Distribute)

3x+−12+7=5x

(3x)+(−12+7)=5x(Combine Like Terms)

3x+−5=5x

3x−5=5x

Step 2: Subtract 5x from both sides.

3x−5−5x=5x−5x

−2x−5=0

Step 3: Add 5 to both sides.

−2x−5+5=0+5

−2x=5

Step 4: Divide both sides by -2.

-2x/2 = -5/2

x= -5/2

Answer:

25000

Step-by-step explanation:

Answer:

the perimeter is the sum of all known sides of the square, so the formula will be P= l + l + l + l, asuming l is the lenght of each side

area of the square is A = l x l

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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