Apply the elimination method to solve the system of equations 2x+6y=8 and 3x+2y=2 which three statements are correct

Answer:

64

Step-by-step explanation:

5+3=8

8*8=64

Answer:

the answer is 64

Step-by-step explanation:

Answer:

The answer is the 1st one (A) because it already is written in standard form.

Step-by-step explanation:

Answer:

2 Questions.

Step-by-step explanation:

To calculate a how much a percentage is of a number, you multiply the number by the percent.

So, we have the equation:

40 x 0.05 = 2

So, Rani got 2 questions incorrect.

Hope this helps!

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Solution:

5/8 of the students in a school are girls.

This simply means 5 out of every 8 students is girl and 3 out of every 8 children is boy.

Thus, there are 5 girls to 3 boys.

Hence, the ratio of girls to boys is 5:3

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

8x^(2)+3x-18, simplified,

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Answer:

Estimation of a measure is a highly reflective activity that avoids the procedural aspects of using rulers and scales and getting answers. It helps develop benchmarks for units and enhances familiarity with important units. It develops flexible thought patterns for each measurement area.

Step-by-step explanation:

Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the  fraction of the walk she has left

Total journey distance = 3.5 kilometers

Distance walked by mary on the bridge=0.6 kilometers

Distance walked by mary through the park=1.55 kilometers

Distance walked by mary up the hill=0.35 kilometers

Total distance traveled by mary=(0.6+1.55+0.35)kilometers

Total distance traveled by mary=2.5 kilometers

The distance left=3.5 kilometers-2.5 kilometers

The distance left=1 kilometer

1 kilometer is  \(\frac{2}{7}\) of the journey by assuming 3.5 kilometer will complete the jouney

Therefore, Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

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4(9 + 4), because :

4 * 9 + 4 * 4 = 36 + 16

Answer:

X = .5

Step-by-step explanation:

10 × 20 = 200

10.5 × 20 = 210

Explanation:

Y = 210

210 = 20(10+X)

divide both sides by 20

10.5 = 10+X

subtract 10 from both sides

.5 = X

X = .5

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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4k + 2k - k + 3

6k - 1k + 3

5k + 3

Answer: 5k + 3

Answer:

Well

4k + 2k - k +3

Well the like terms here are K.

Just add or subtract the like terms (k) following order of operations.

4k + 2k - k = 5k

3 can’t be combined here.

5k + 3

Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

Step-by-step explanation:

Mean = Sum of all values/ total no of values

There are six numbers .

Mean =

\(\frac{35+40+12+16+25+10}{6} \\\\= \frac{138}{6} \\\\=23\)

Answer:

\(\boxed {\tt 23}\)

Step-by-step explanation:

The mean can be found by adding all the values together and dividing by the number of values.

1. Add the values

2. Divide by the number of values

Count how many numbers are in the set of data. There are 6 values. Divide 138 by 6.

The mean of the data set is 23.

Step-by-step explanation:

A={3,4,7,9}

B={8,9,10,11}

now,

AUB={3,4,7,9}U{8,9,10,11}

={3,4,7,8,9,10,11}

hope it helps.

Answer: it’s c

Step-by-step explanation: dude that’s ez

Answer:

⬇

Step-by-step explanation:

2 :

B has the largest value

A has the smallest

A is closer to 0

3:

Largest value is A

Smallest is B

A is closer

4:

B has the largest value

A is smallest

B is closer to 0

I really hope this helps!

Answer:

\({ \tt{ \frac{y}{x} = - \frac{6}{7} }} \\ { \tt{y = - \frac{6}{7}x }} \\ { \boxed{ \bf{constant = - \frac{6}{7} }}}\)

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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Answer:

Step-by-step explanation:

None of the answers are correct.

34+5y

The simplified form of the algebraic expressions 1, 2, 3, 4 and 5 are  -2m-10, 3x + 11, 3²xy + 2z - 16, -7x - 11 and -m + 8 respectively

An algebraic expression is defined as an expression that is made up of variables and numbers, along with algebraic operations such as addition, subtraction, etc.

Given:

1. -3+ 4m + (-7) -6m = -3 + 4m - 7 - 6m = -2m-10

2. 6x + (-1) - 3x + 12 = 6x - 1 - 3x + 12 = 3x + 11

3. 3xy + 2z - 16 + 6xy = 9xy + 2z - 16 =  3²xy + 2z - 16

4. 4x - 8+ 2x + (-3) - 5x = -4x - 8+ 2x -3 - 5x = -7x - 11

5. 3m² - m + 7 - 3m² + 1 = -m + 8

Therefore, the expressions 1,2,3,4 and 5 simplifies to -2m-10, 3x + 11, 3²xy + 2z - 16, -7x - 11 and -m + 8 respectively

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Answer:

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

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The value of 2 in the quotient is 200.

What is division?

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups.

Let, the number 392,000 is divided by 10.

That means, \(\frac{392000}{10}\)

Here, 392000 is the numerator and 10 is the base.

Simplifying the fraction, we get 39200.

39200 is the quotient.

Here 2 is on the hundredth place.

Therefore, the value of 2 in the quotient is 200.

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