divide 4 metre in the ratio 2:5​

Answer:

Drinks = $1.5

Pizza = $10.50

Step-by-step explanation:

let d = drinks

p = pizza

p = 7d  equation 1

2p + 8d = 33 equation 2

from equation 1, we know the price of one pizza, the price of two pizzas can be determined by multiplying by 2

2p = 7d x 2 = 14d  eqn 3

Substitute for 2p in equation 2  

14d + 8d = 33

22d = 33

Divide both sides of the equation by 22

d = $1.5

Substitute for d in equation 1

p = 1.5 x 7 = $10.5

Answer:

7

Step-by-step explanation:

42/6=7

The measure of arc length AB in the circle is approximately 4.2 units.

Given the diagram in the question:

First, we determine the value of x:

Note that: the sum of angles on a straight line equals 180 degrees.

Hence:

3x + ( 2x + 5 ) + ( 5x + 15 ) = 180

Collect and add like terms:

3x + 2x + 5x + 5 + 15 = 180

10x + 20 = 180

10x = 180 - 20

10x = 160

x = 160/10

x = 16

Now, angle AKB = 3x

Plug in x = 16

AKB = 3( 16 ) = 48 degrees.

The arc length formula is expressed as:

Arc length = θ/360 × 2πr

Plug in: θ = 48° and radius r = 5

Arc length = 48/360 × 2 × π × 5

Arc length = 4.2 units

Therefore, the arc length measures 4.2 units.

Option A) 4.2 is the correct answer.

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Answer:17

Step-by-step explanation:

Number them in order from lowest to highest and find the median it will help with finding the Q1

Answer:

5x - 6

Step-by-step explanation:

Do the distributive property and your equation should look like this 3x + 2x - 2 - 4

Then combine like terms

You get 5x - 6

pls mark branliest

answer

5x - 6

Step-by-step explanation:

Do the distributive property and your equation should look like this 3x + 2x - 2 - 4

Then combine like terms

You get 5x - 6

pls mark brainliest

Answer:

i don't have idea for answer

Step-by-step explanation:

i

don't

have

idea

for

answer

Triangle ABC is indeed similar to Triangle CDE by the SAS (Side-Angle-Side) Congruence Postulate.

Assume that we have the following to prove congruence:

AB/DC = AC/CE (proportional sides)

AB || CD (parallel lines)

This means that angle ABC is congruent to angle CDE.

Looking at this, we can infer that Side AB is proportional to side DC. We also see that Angle ABC is the same as Angle CDE.

Going by the SAS Congruence theorem, Triangle ABC is indeed similar to Triangle CDE because two sides of the triangle are similar and one angle is congruent.

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A company wants to determine which of the two production methods has a shorter completion time. To collect completion time data, one sample of workers is randomly selected, and each worker first uses one method, and then the other method.

The sampling method used for data collection is based on a "within-subject design."The within-subject design, also known as a repeated measures design, is a type of research design in which all participants receive both levels of the independent variable (production methods) in a random order. This design is also known as a repeated-measures design, a within-subjects analysis, or a longitudinal design since it collects data over time and compares each participant's performance to his or her own scores on a different occasion.

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The expression equivalent to the given expression is 10p²z⁴.

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation, this maths operation can be addition, subtraction, multiplication, or division.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

you can recognize that an equation is simply two expressions joined together by an equal sign.

Given that, an expression,  \(\sqrt{100p^{4} z^{8} }\)

Solving, \(\sqrt{100p^{4} z^{8} }\)

The square root of 10 = 100, p² = p⁴ and z⁴ = z⁸

Therefore, finding the square root,

= √100x√p⁴x√z⁸

= 10×p²×z⁴

=  10p²z⁴

Hence,  \(\sqrt{100p^{4} z^{8} }\) =  10p²z⁴

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Answer:

10 cm³

Step-by-step explanation:

The total surface area of a cube = 6 cm²

The formula for the surface area of the cube is :

A = 6a², a is the side of the cube

6 = 6a²

a = 1 cm

Now, the length of the formed cuboid = 2 cm

Breadth = 1 cm

Height = 1 cm

Required volume of the formed cubiod is :

V = 2(lb+bh+hl)

Put all the values,

V = 2(2(1)+1(1)+2(1))

V = 10 cm³

So, the required volume of the formed cuboid is equal to 10 cm³

Answer: search it up

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

both angles are acute

Step-by-step explanation:

Answer:

To find the point of intersection, we can equate the two equations to eliminate either x or y. For example, let's equate them for y:

100 + 65x = 40 + 80x

Solving for x:

60 = 15x

x = 4

Substituting x = 4 into one of the equations, say Mikes repair shop:

y = 100 + 65x

y = 100 + 65 * 4

y = 100 + 260

y = 360

So the point of intersection is (4, 360).

The point of intersection (4, 360) represents the hours and cost at which both repair shops charge the same amount. In other words, if it takes 4 hours to repair your car, then both Mikes repair shop and Amy's auto repair will charge you the same amount of $360.

If it takes 3 hours to fix your car, then the cost at Mikes repair shop will be:

y = 100 + 65x

y = 100 + 65 * 3

y = 100 + 195

y = 295

And the cost at Amy's auto repair will be:

y = 40 + 80x

y = 40 + 80 * 3

y = 40 + 240

y = 280

So Amy's auto repair is cheaper and the cost will be $280.

Hope this helps!

Answer:

Step-by-step explanation:

Z>6

The solution to the given inequality would be d > 6, which is shown in the graph with the red line.

Given that,

The inequality to solve,

3d - 7d + 2.8 < 5.8 - 27

Used the concpet of expression for solving by using combining like terms and applying the operations addition, subtraction, etc.

Here, the inequality is,

3d - 7d + 2.8 < 5.8 - 27

Combine like terms,

- 4d + 2.8 < 5.8 - 27

Subtract 2.8 on both sides,

- 4d < 5.8 - 2.8 - 27

- 4d < 3 - 27

- 4d < - 24

Multiply both sides by - 1,

4d > 24

It can be written as,

4d - 24 > 0

4 (d - 6) > 0

d - 6 > 0

Therefore, the solution to an inequality is,

d > 6

And, the graph of solution d > 6 is shown in the attached image.

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The original price of the shirt was $6.25

In this question, we have been given Archie bought a shirt on sale that was 20% less than the original price. The original price was $5 more than the sale price.

We need to find the original price.

Let the original price of the shirt be x and the sale price of the shirt is y

20x/100 = y

x/5 = y

x = 5y

Now the second equation that we get is

x = y + 5

5y - y = 5

4y = 5

y = 5/4

Now putting the value of y in the first equation we get

x = 5y

 = 5 (5/4)

 = 25/4

 = 6 1/4

 = $6.25

Then we can say that the original price of the shirt was $6.25

Therefore, the original price of the shirt was $6.25

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Answer:

D) None of the choices are correct.

Explanation:

Given triangles AHL and NKG

Sides which are congruent:

So, AHL ≅ NKG. There are no such options.

Answer:

Part A: m+1.37=7.9

Part B: 6.53 miles are left to be repaired.

Step-by-step explanation:

Given,

Length of repaired part = 1.37 miles

Total length to be repaired = 7.9 miles

Miles left to be repaired = m

Part A:

Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.

Miles left to be repaired + Length of repaired part = Total length to be repaired

m+1.37=7.9

Part B

How many miles are left to be repaired?

Subtracting 1.37 from both sides

6.53 miles are left to be repaired.

Keywords: length, subtraction

Step-by-step explanation:

If Joe already scored 347 points in math-test, then to get a grade"A" he must score at least 56 marks, which is represented in inequality as n ≥ 56.

Jose has already scored 347 points on his math-tests so far, and he needs to score at least 403 points to get an A for the semester.

Let "minimum-points" he must score on the "remaining-tests" be denoted by "n". We can write an inequality to represent minimum-points as:

⇒ 347 + n ≥ 403,

⇒ n ≥ 403 - 347,

⇒ n ≥ 56.

Therefore, Jose must score at least 56 points on the remaining tests in order to get an A for the semester.

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The given question is incomplete, the complete question is

Jose has scored 347 points on his math tests so far this semester. To get an A for the semester, he must score at least 403 points. Write an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let "n" represent the number of points Jose needs to score on the remaining tests.

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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The property that justifies the statement "OP = RS, RS = OP" with "Sym" is symmetry. Symmetry refers to the property of an object or equation where it remains unchanged under certain transformations or operations.

In this case, if we reflect the circuit across the line of symmetry, the circuit will be exactly the same as the original circuit, except that the voltage source will be flipped over.

Therefore, if we take the voltage across the resistor (RS) and multiply it by the resistance of the voltage source (R), we will get the same result as if we take the voltage across the resistor (OP) and multiply it by the resistance of the resistor (R). This property is symmetric, and thus the statement "OP = RS, RS = OP" is true

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Answer:

Sym. Prop. of ≅ is the correct answer

Answer:

29, height is > 30

Step-by-step explanation:

all the angles in a triangle add up to 180, they give 1 angle 61 degrees and it's a right triangle so 61 + 90 = 151

180 - 151 = 29

the third angle is 29 degrees

The height of the building is found using trigonometry

tangent o/a

tan(61 degrees) = o/30

height = 54.1

height is > 30

Answer:

13%

Step-by-step explanation:

Interest Amt = Principal x Interest Rate x Time (in years)

780 = 4000·r·1.5

780 = 6000r

780/6000 = r

r = .13 which is 13%

Here we will tell you what 918 is rounded to the nearest ten and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the ten that is nearest to 918.

First, 918 rounded to the nearest ten is:

=920

Answer:

V = 40

Step-by-step explanation:

Volume of a Pyramid:

V = 1/3bh

Given:

b = 10

h = 12

Work:

V = 1/3bh

V = 1/3(10)(12)

V = 40

Answer: y = 60x, choice D

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

Explanation:

1 hour = 60 miles ... one way to represent the speed of 60 mph

x hours = 60x miles ... multiply both sides by x

After x hours, the cheetah has ran 60x miles. This is assuming the speed is kept the same at 60 mph.

The information about the 50 yards is never used. It's likely thrown in there as filler or as a distraction.

Answer:

-3/2

Step-by-step explanation:

The average rate of change is synonymous to the slope.

So, to find the average rate of change from the interval x=-2 to x=2, first find the y-values at x=-2 and x=2.

At x=-2, we can see that y is 4. Thus, we have (-2,4).

At x=2, we can see that y is -2. Thus, we have (2,-2).

Now, use the slope formula. The formula for slope is:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let (-2,4) be x₁ and y₁ and let (2,-2) be x₂ and y₂. Therefore:

\(m=\frac{-2-4}{2--2}\)

Simplify:

\(m=\frac{-6}{4}\)

Reduce:

\(m=-3/2\)

So, our average rate of change from the interval x=-2 to x=2 is -3/2.