it takes john 30minutes to walk 15 blocks to the library as this rate how many blocks can he walk in one minutes

Step-by-step explanation:

118 is already an integer

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +5 (from -3 to 2)

y changes by -15 (from 10 to -5)

so, the slope is -15/+5 = -3

the equation looks now like

y = -3x + b

let's use the first point

10 = -3×-3 + b = 9 + b

1 = b

so, the equation is

y = -3x + 1

Answer:

B = Blue paint = 3.5 gallons

Y= Yellow paint = 24.5 gallons

Step-by-step explanation:

Let B = Blue paint

Y= Yellow paint

Your mixing blue paint and yellow paint to get a total of 28 gallons.

B + Y = 28 gallons

You want to use 7 times yellow paint as blue.

This means, 7B = Y

How many gallons of each should you use ?

Hence,

B + Y = 28

B + 7B = 28

8B = 28

B = 28/8

B = 3.5 gallons

B + Y = 28 gallons

Y + 3.5 gallons = 28 gallons

Y = 28 gallons - 3.5 gallons

Y = 24.5 gallons

B = Blue paint = 3.5 gallons

Y= Yellow paint = 24.5 gallons

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.

Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.

First, let's convert the mixed numbers into improper fractions:

7½ kg = (7 x 2 + 1)/2 = 15/2 kg

5¾ kg = (5 x 4 + 3)/4 = 23/4 kg

Now, let's compare the two fractions:

15/2 kg > 23/4 kg

Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.

To find out by how much, we need to subtract the smaller quantity from the larger one:

15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg

So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.

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If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

D

Step-by-step explanation:

it translated into housework in other words chore. hope this helps :)

Answer:

D

Step-by-step explanation:

-

Answer:

x = 20  ∠B = 92°  ∠C = 40°

Step-by-step explanation:

The sum of angles of a triangle is 180°.

48 +(6x -28) +2x = 180

8x +20 = 180

8x = 160

x = 20

∠B = (6x -28)° = (6*20 -28)° = 92°

∠C = 2x° = 40°

Answer

X= 20

m<B = 92°

m <C = 40°

Step-by-step explanation:

The sum of angles in a triangle = 180°

So, 48 + 6x-28 +2x = 180

8x+20= 180

8x = 160

So x= 160/8 = 20

Substitute x in the equations:

m<B= 6×20-28= 92°

m<C = 2×20 = 40°

Answer:

Step-by-step explanation:

the answer is h

Answer: H

Step-by-step explanation:

Answer:

Step-by-step explanation:

ok pls give brainliest im almost lvled up.

Answer:

Good for Ethan. Wait who is Ethan?

Step-by-step explanation:

The Options A and B given are correct. Based on trigonometric identities,

A) (cos A)(tan A) = sin A is correct.

B) tan B = \(\dfrac{sinB}{cosB}\) is correct,

C) cos A = sin(90° - B) is incorrect.

Trigonometry is a mathematical concept that is responsible for the dealings of the relationships between the angles and sides of triangles.

In the given triangle ABC, ∠A is greater than ∠B.

A) Given that

(cos A)(tan A) = (cos A)(\(\dfrac{sinA}{cosA}\))

                      = sin A.

B) In the triangle ABC,

tan B = \(\dfrac{AC}{BC}\)

By dividing the numerator and denominator by AB,

tan B = \(\dfrac{\frac{AC}{AB} }{\frac{BC}{AB} }\),

tan B = \(\dfrac{sinB}{cosB}\).

C) cos A = sin(90° - A) which is not as same as the equation in option C.

Thus, it is proven that options A and B are TRUE.

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The complete question is as follows:

Decide which of the following statements are TRUE based on the given triangle below. Assume the figure is drawn to scale such that angle A is greater than angle B.

A) (cos A)(tan A) = sin A,

B) tan B = \(\dfrac{sinB}{cosB}\),

C) cos A = sin(90° - B).

Answer:

4x

Step-by-step explanation:

2x+6+2x−6

=2x+6+2x+−6

Combine Like Terms:

=2x+6+2x+−6

=(2x+2x)+(6+−6)

=4x

In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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The correct null hypothesis and alternate hypothesis will be

\(H_{0} =\mu=195\\H_{a} =\mu > 195\)

It is given that

The mean price of a prom dress was $195. 00 with a standard deviation of $12. 0

Given that Alyssa thinks that her school is more fashion-conscious and that students spent more than $195.00.

She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00.

Since she wants to check whether the sample mean \(\mu\) is the same as the population mean  \(\mu\) = 195

\(H_{0} =\mu=195\\H_{a} =\mu > 195\)

(Right hypothesis  test)

Thus the correct null hypothesis and alternate hypothesis will be

\(H_{0} =\mu=195\\H_{a} =\mu > 195\)

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Answer: OPTION A

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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Answer:

4/3x

Step-by-step explanation:

The mathematical word describing  both \(27x\) and \(6x\) in the expression \(27x+6x\) is "addition"

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were \(27x\) and \(6x\) and the expression formed from them is \(27x+6x\)

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing  both \(27x\) and \(6x\) in the expression \(27x+6x\) is addition"

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The probability of writing a vowel is 0.5 (option b)

Probability is a way of measuring the certainty of occurrence of a specific event. Probability is measured from 1 to 0, with numbers closer to 1 referring to a higher chance and numbers closer to 0 referring to a lower chance.

According to the above, to calculate the probability we must perform the following operations:

Note: This question is incomplete because some information is missing. Here is the complete information

A.0.3

b.0.5

C.3

D.0.05

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Answer:

a= -18

Step-by-step explanation:

-18/-3 = 6

6-1=5

5>4

I just used guess and check to find -18 :)

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Answer:

±√177/2+11/2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2

x=12.15206734…,−1.15206734…

Answer:

30.25

Explanation:

Quadratic Equation: x² - 11x - 14 = 0

Number added = (b/2)² = (-11/2)² = 30.25

Solving Steps:

[add both sides by 30.25]

[complete square]

[exchange sides]

Answer:

$3,500 labor and $3,500 materials

Step-by-step explanation:

furnishings + labor + materials = 10,000

furnishings = 3000

3000 + labor + materials = 10,000

labor = materials

3000 + labor + labor = 10,000

2(labor) = 7,000

labor = 7,000/2

labor = 3,500

labor = materials = 3,500

Answer:

T I hope this helps:D

The solution to the polynomial equation x² – x – 3 = 0 by completing the square method is x = 1/2 ± √(13/4).

To solve the polynomial equation x² – x – 3 = 0 by completing the square method, Bao Yu's first step should be to isolate the first term, x².

Completing the square is a technique used in algebra that's used for solving quadratic equations.

It involves manipulating the quadratic polynomial until the sum of its terms matches a squared expression.

We use the technique of completing the square when we have a quadratic expression in x that cannot be factored and has the leading coefficient as 1.

Now let's discuss the steps of completing the square method to solve the given polynomial equation.

Step 1: First, we need to isolate the first term, x².

So, we will add 3 to both sides of the equation. x² - x = 3

Step 2: Now, we will add the square of half of the coefficient of the x term (which is -1/2) to both sides of the equation. Here, (-1/2)² = 1/4x² - x + 1/4 = 3 + 1/4

Step 3: Next, we can write the left-hand side as a square of a binomial. (x - 1/2)² = 13/4

Step 4: Now, we will take the square root of both sides of the equation. x - 1/2 = ±√(13/4)

Step 5: Finally, we will isolate x by adding 1/2 to both sides of the equation. x = 1/2 ± √(13/4)

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Answer:

d

Step-by-step explanation:

Answer:

False the correct answer would be x^12

Step-by-step explanation:

When calculating an exponent at the power of an exponent the exponent should be multiplied. 3x4=12. The correct answer is x^12.