Find two consecutive even integers whose sum is 126. write an equation.

Answer:

40 Km

Step-by-step explanation:

Cross-multiply (rule of three)

2.5 cm--------10 Km

10 cm-----------x Km

2.5/10 = 10/x

so

x = 100/2.5 = 40 Km

Answer:

They are the same size

Step-by-step explanation:

1 cm = .01 m

64 cm = .64 m

Answer:

h ( 5 ) = 36

Step-by-step explanation:

Given function :- h ( x ) = 4 ( x - 2 )²

Also, for h ( 5 ) ... we need to replace x with 5 from the given equation :-

h ( 5 ) = 4 ( 5 - 2 )²

h ( 5 ) = 4 ( 3 )²

h ( 5 ) = 4 ( 9 )

h ( 5 ) = 36

So, h ( 5 ) = 36

Answer:

5/8

Step-by-step explanation:

4- 9/4 × 3/2 = 4 - (9 *3) / (4*2)

                    = 4 - 27/8

                    = 4*8/8  - 27/8

                   =  32/8 - 27/8

                    = ( 32-27) / 8

                   = 5/8

The correct value of the expression is 0.625.

To evaluate the expression 4 - 9/4 × 3/2, follow these steps:

Start with the multiplication and division from left to right:

Calculate 9 / 4, which equals 2.25.

Then multiply 2.25 by 3/2, which is 1.5. So, 2.25 × 1.5 = 3.375.

Subtract the result from 4: 4 - 3.375 = 0.625.

So, the evaluated value of the expression 4 - 9/4 × 3/2 is 0.625.

Answer:

54/1099=0.04913557779= 0.05

Step-by-step explanation:

Simply put, all you do is divide the two numbers and round it to whatever it tells you to round it to. 5 and above, give it a shove. 4 and below, let it go.

The solution for [tex]\(y\)[/tex] in the equation [tex]\(34x + 14y = 5\)[/tex] is [tex]\(y = -\frac{17x}{7} + \frac{5}{14}\).[/tex]

To solve the equation [tex]\(34x + 14y = 5\)[/tex] for [tex]\(y\)[/tex], we need to isolate [tex]\(y\)[/tex] on one side of the equation. Here's the step-by-step process:

1. **Subtract 34x from both sides:**

[tex]\[ 14y = -34x + 5 \][/tex]

2. **Divide both sides by 14 to solve for y:**

[tex]\[ y = \frac{-34x + 5}{14} \][/tex]

Now, let's simplify the expression by breaking it into two terms:

[tex]\[ y = \frac{-34x}{14} + \frac{5}{14} \][/tex]

Simplify each term:

[tex]\[ y = -\frac{17x}{7} + \frac{5}{14} \][/tex]

So, the solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is:

[tex]\[ y = -\frac{17x}{7} + \frac{5}{14} \][/tex]

This equation represents a line in the xy-plane. The coefficient [tex]\(-\frac{17}{7}\)[/tex] is the slope, indicating the rate of change of [tex]\(y\)[/tex] with respect to [tex]\(x\),[/tex] and [tex]\(\frac{5}{14}\)[/tex]is the y-intercept, representing the point where the line crosses the y-axis.

Answer:

B. -1.

Step-by-step explanation:

Note: 10 = 10^1 so:

10^-3 x 10 x 10^k = 10^(-3 + 1 + k) = 10^(k - 2).

So 10^(k - 2) = 10 ^(-3)

and k - 2 = -3

k = 2 - 3 = -1.

Answer: -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

First  let's look at this with just the whole numbers.  Say someone used 2 kg and had 3 left.  it should be pretty simple to see that you started with 5 kg.  It's basically an algebra problem.  if we say x is the starting amount then x-2 = 3.  You could then solve for x=5.  Now, let's dot he same for your actual numbers.  

x - 3/5 = 2 1/4

x = 2 1/4 + 3/5

Now, to add fractions you need to get the same denominators.  we are just really concerned with 1/4 + 3/5.  Now, you need to knwo you can change fractions.  so 1/4 = 2/8 = 3/12 = 4/16 and so on,  You are basically multiplying the numerator and denominator by the same number.  (1*2)/(4*2) = 2/8.  Now, to make both denominators equal you can multiply one fraction by the other denominator.

1/4 + 3/5

(1*5)/(4*5) + (3*4)/(5*4)

5/20 + 12/20 = 17/20.

So now, back tot he main problem, we are adding 2 1/4 + 3/5 = 2 17/20.  so the starting amount was 2 17/20 kg.

There is another way to add fractions but it is more involved and this always works so this is what I always use.  

Ms. How bought a bag of rice that weighs 57/20 or 2 7/20 kg.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Ms. How bought a bag of rice for dinner.

Assuming she bought x kg of rice.

She used 3/5 kg of the rice and still had 2 1/4 kg left.

∴ x - 3/5 = 9/4.

x = 3/5 + 9/4.

x = (12 + 45)/20 kg.

x = 57/20 kg.

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Answer:

x = -7

Step-by-step explanation:

The equation of the line in standard form is y=5.

This is a horizontal line, so the perpendicular line will be a vertical line of the form x=a.

Since we are given that the line should pass through the point (−7,−5) then the equation of the line is x=−7.

Answer:

The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 3) = 9. The fraction result cannot be further simplified by cancelling.

In words - seventeen ninths minus five thirds = two ninths.

Step-by-step explanation:

Answer:

Step-by-step explanation:

if m = -3

-7(-3)²+2(-3)+7 = -63-6+7 = -62

Hey!

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

Solution:

= -7(-3)² + 2(-3) + 7

= -63 + -6 + 7

= -69 + 7

= -62

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

Answer:

-62

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

Hope This Helped! Good Luck!

Answer:

they are both in the thousands place

Step-by-step explanation:

Step-by-step explanation:

In order to solve this I would write out a number line like this

-10 -9 -8 -7 -6 -5 -4-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Then I would start at -7, and count up to 3

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answer:

1000 = 160 + 50x

1000 - 160 = 840

840 = 50x

840/50 = 16.8

he can bring up 16.8 approx., but total boxes would be 16.

Step-by-step explanation:

The equation representing the situation is 150 + 50x <= 1000, where x represents the number of boxes of books the delivery person brings up to the office.

To write an equation, we need to represent the information given in the situation. Let's assign a variable, x, to represent the number of boxes of books the delivery person brings up to the office. The weight of the delivery person is fixed at 150 lbs and the weight of each box is 50 lbs. So, the total weight carried by the elevator is 150 + 50x. The equation representing this situation is 150 + 50x ≤ 1000, since the maximum capacity of the elevator is 1000 lbs.

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Answer:

Ana will have to multiply the amount of each item on the recipe by .25

For the 1/2 cup amount of coconut oil to be used instead of butter will be .125 or 1 and 5/8 amount of coconut oil to be used instead of butter.

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Answer:

The Value of 9 would be hundredths since it is a decimal, and the value of the 2 that is in front of the 9 would be tenths. the 'th' is always used when numbers are behind the decimal, always remember that :)

Step-by-step explanation:

I hope this helped you!

Answer:

y=-2x+3

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

The most likely correlation coefficient for the set of data shown would be C. 0.19.

The correlation coefficient is a measure of how similar two datasets are acting.

The range of correlation coefficient is [-1, 1]

When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated.

One data increases, other data starts decrease in the opposite direction.

If the correlation coefficient comes out as 1, then the values grow exactly similarly, in the same direction.

If the slope of the scatters plot increases from left to your right upwards, the correlation coefficient of the data would be positive.

The scatter plot that is given shows this pattern, therefore, the most likely correlation coefficient of the data set is: C. 0.19.

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Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation of the line

To find c substitute ( [tex]\frac{2}{3}[/tex], 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = 3x + 2 → A

Answer:

Step-by-step explanation:

[tex]\left(\dfrac{2}{3};\ 4\right)\to x=\dfrac{2}{3},\ y=4\\\\\text{Put to the each equation:}\\\\A.\ y=3x+2\\\\4=3\left(\dfrac{2}{3}\right)+2\\4=2+2\\4=4\qquad\bold{CORRECT}[/tex]

We do not check other equations because all the lines have the same slope. Therefore, they are parallel lines. If one of the lines passes through a given point, then another cannot pass through that point.

Answer:

x=-10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

I will assume that you meant:

(1/4)(8x-20)=6x - (x-25) = 5x + 25

If this is correct, let's remove the denominator 4 by multiplying all terms by 4:

(8x - 20) = 4(6x - x + 25), or

8x - 20 = 20x + 100

Consolidating the x terms on the right and the constants on the left, we get:

-120 = 12x, or x = -10

Answer:

y = 2x - 8

Step-by-step explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 2 remains the same:

8 = 2[8] + b

↑

16

-8 = b

y = 2x - 8 >> Parallel Equation

I am joyous to assist you anytime.

pi is the ratio of the 2 measures 1.5 of a circle.

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Find the LCD because like last time, you cannot add or subtract fractions with different denominators.

LCD = 10

Since the second fractions stayed at the same denominator, you will only have to multiply the first fraction.

[tex]\frac{2 * 2}{5 * 2}[/tex]

[tex]\frac{4}{10}[/tex]

[tex]\frac{4 + 5}{10}[/tex]

[tex]= \frac{9}{10}[/tex]

Answer:

2/5 + 5/10 = 9/10

Step-by-step explanation:

Turn 2/5 into 4/10 to make the two fractions' denominators the same by multiplying 2 × 2 =4 and 5 × 2 = 10. Then add 4/10 + 5/10 to get 9/10.

Absolute values are always non-negative, so |-2.24| equals 2.24.

The absolute value of a number is its distance from zero on the number line, ignoring its sign. For -2.24, the distance from zero is 2.24 units.

This concept is useful in various mathematical calculations, such as finding the magnitude of a vector in physics or determining the error in measurements. In practical terms, it allows us to express distances, differences, or deviations without regard to direction. For example, if you are comparing temperatures, the absolute difference between -5°C and 8°C is 13°C, regardless of whether you are measuring an increase or decrease in temperature. This property makes absolute values valuable in many areas of mathematics, science, and everyday life.

Complete question: What is |-2.24|?

Answer:

17.928666

Step-by-step explanation:

2.394*7.489

Answer:

400 + 5x = 582 - 8x

14 weeks

Step-by-step explanation:

Set them both up in an equation ---> x = weeks

400 + 5x = 582 - 8x

Solve

13x = 182

x = 14

To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up and solve an equation based on their weekly deposits and withdrawals. After setting their equations equal to each other and solving for 'x', we find that it will take 14 weeks.

To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up an equation based on their weekly deposits and withdrawals. Let's represent the number of weeks as 'x'.

Chris's bank account balance can be represented by the equation: 400 + 5x

Ben's bank account balance can be represented by the equation: 582 - 8x

To find the number of weeks it takes for their balances to be equal, we can set their equations equal to each other and solve for 'x':

400 + 5x = 582 - 8x

Combining like terms and isolating 'x', we get:

13x = 182

Dividing both sides by 13, we find that x = 14.

Thus, it will take 14 weeks for Chris and Ben to have the same amount in their bank accounts.

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Answer:

[tex]\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]

This tells us that:

[tex]A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right][/tex]

[tex]b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]

Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

[tex]c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex].

So we want to find a way to express this as:

Ax=b where x is the scalar vector, [tex]\left[\begin{array}{ccc}c\\d\end{array}\right][/tex].

So we can write this as:

[tex]\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]

Mean: Average of the numbers in a set of data.

The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set. If we want to find the mean of the data set shown here, let's begin by adding the numbers.

35 + 40 + 45 + 50 + 55 + 60 + 65 = 350

Now, this will be divided by how many numbers are in the set which is 7.

350 ÷ 7 = 50.

Therefore, the mean of the set of data shown here is 29.2.

Answer: The mean of the data is Option 4. 50

Step-by-step explanation: