What is the solution to the equation
5X + 2 ( X - 4 ) = 5X + X - 10

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

[tex] T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2 [/tex]

The name of the variable is obviously irrelelvant, so the same goes for the second function:

[tex] w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32 [/tex]

T(-4) = -(-4) - 2

-(-4) - 2 = 2

Answer,

-Laura :-)

Answer:

180

Step-by-step explanation:

each vertical line is 1 unit.

Place dots on the 3rd, 9th and 16th line to the right of the line at 0

Count from 0 to the right 3 units then plot the point 3

From 3 count to the rights 6  more and plot the point 9

From 9, continue to count to the right 9 more and plot the last point 18

For the small tables, it will be 6X, because since they fit 6 people, you will need to multiply 6 times the amount of tables(which is X), then for the larger table, it will be 10Y, because since they fit 10 people, you will multiply 10 times the amount of tables (which is Y).

This leaves you with 6X+10Y

If they are expecting AT LEAST 150, then the equation needs to be set to greater than or equal to 150, but if they are expecting exactly 150, no more no less, then the equation will be set equal to 150.

Therefore it is either:

A: 6X+10Y>or=150

B:6X+10Y=150

Final answer:

The relationship between the number of small tables (x) and large tables (y) needed to seat 150 people can be described by the equation 6x + 10y = 150, where 6x represents the number of guests at small tables and 10y represents the number of guests at large tables.

Explanation:

The student's question deals with creating an equation to describe the relationship between the number of small tables seating 6 people and the large tables seating 10 people required to accommodate 150 guests at a wedding. To solve this, you can write an equation based on the total seating capacity that needs to be provided by both types of tables.

The total number of people that can be seated at small tables is represented by 6x, and the total number of people that can be seated at large tables is represented by 10y. Since we know that the total number of guests is 150, the relationship between x and y can be represented by the following equation:

6x + 10y = 150

This equation states that the total number of guests (150) is equal to the sum of guests seated at small tables (6x) and the guests seated at large tables (10y).

$4.08 dollars per hour

The requried, customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.

To determine how many hours of bike use a customer gets per dollar, we need to divide the total number of hours by the cost in dollars.

In this case, the cost is $24 for 5 hours of bike use.

Hours per dollar = Total hours / Cost in dollars

Hours per dollar = 5 hours / $24

To find the value, we can calculate the division:

Hours per dollar = 5 / 24 ≈ 0.2083

Therefore, a customer gets approximately 0.2083 hours (or 12.5 minutes) of bike use per dollar.

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Emerson struck out 32% of the time.

112 out of 350 can be laid out as:  112/350

Multiply both the Denominator and the Numerator by 100:

112/350 × 100/100 = 32/100 = 32%

I hope this help answer your question!

The subject of this question is Mathematics. Emerson's strikeout rate is 32%.

The subject of this question is Mathematics as we are dealing with numerical data. We are given that Emerson struck out 112 times in 350 at-bats.

To find the strikeout rate, we divide the number of strikeouts by the number of at-bats and multiply by 100 to get a percentage. So, the strikeout rate would be (112/350) * 100 = 32%.

Therefore, Emerson's strikeout rate is 32%.

there are 12 square numbers between 1,000 and 2,000.

starts off at 32 bc 32^2=1024

ends at 44 bc 44^2=1936

A square number is the product of an integer multiplied by itself. There are 13 square numbers between 1,000 and 2,000, which are found by squaring all whole numbers from 32 to 44.

To determine how many square numbers are between 1,000 and 2,000, we must first understand what a square number is. A square number, sometimes called a perfect square, is an integer that is the square of an integer. In other words, it's the product of an integer multiplied by itself. For example, 10² is a square number because it equals 100, which is 10 times 10.

To find the square numbers in the given range, we need to find the square roots of 1,000 and 2,000 and then count the whole numbers between them. The square root of 1,000 is approximately 31.62, and the square root of 2,000 is approximately 44.72. Since we are looking for whole numbers, the first possible square number would be 32² and the last one would be 44². By squaring all the whole numbers from 32 to 44, we can list the square numbers within the range.

Next, we list the squares of these numbers:

By counting all the squares from 32² to 44², we find that there are 13 square numbers between 1,000 and 2,000.

None of your answers make sense.  

After 1 hour, you lose 12 gallons

After 2 hours, 24

After 3 hours, 36

After 4 hours, 48 gallons.

The answer would be -48 but that's not a choice given.

Answer:

The integer that represents the average decrease in value per year will be 1800.

Step-by-step explanation:

Suppose, the average decrease in value per year is  [tex]x[/tex] dollar.

So, the amount of decrease in three years will be:  [tex]3x[/tex] dollar.

Given that, the value of the car is decreased $5400 over the last three years. So, the equation will be......

[tex]3x=5400\\ \\ x=\frac{5400}{3}=1800[/tex]

Thus, the integer that represents the average decrease in value per year will be 1800.

you need to add -17 to 17 to get 0

17+x=0

x=-17

Answer:

The number would be –17.

Step-by-step explanation:

Hope this helps! :)

5 purple  8 red  4 blue

Seeing as there are 5280 feet in each mile. They are 160ft apart.

5280/33 is 160

Your answer is 160 ft apart because if you turn 1 mile into feet it would be 5280 feet, then divide by 33 posts and you would get an even answer of 160 feet apart.

[tex]\frac{g}{20}[/tex]≤5

Multiplying by 20 in all sides gives:

g≤(20×5)

Answer: g≤100

Hello Belleoberry2005, I am here to answer your question.

Here we do a simple rule of 3, like this: 14*100/56, and that gives us 25.

So the answer is: 25%

Hope this helped answer your question.

To calculate the percentage of cars that received oil changes at an auto repair shop, divide the number of cars with oil changes (14) by the total number of cars (56) and multiply by 100 to get 25%.

The student asks how to calculate the percentage of cars that received oil changes at an auto repair shop. To find the percentage, divide the number of cars that received an oil change by the total number of cars and then multiply by 100. There were 14 out of 56 cars that received oil changes.

Here is the step-by-step calculation:

So, 25% of the cars received oil changes.

D

given the equation of a parabola in standard form : ax² + bx + c = 0 ( a ≠ 0 )

then the x-coordinate of the vertex  = - [tex]\frac{b}{2a}[/tex]

y = - 2x² + 4x + 12 is in standard form

with a = - 2, b= 4 and c = 12

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1

substitute x = 1 into the equation for y

y = - 2(1)² + 4(1) + 12 = 14

vertex = (1, 14 )

Answer: the answer is d

Answer

Step-by-step explanation:

Alright, so the equation we have here is 22.75x+32=128.69

Now we just solve

-32 on both sides, we get

22.75x=96.69

divide by 22.75 on both sides we get

x=4.2501989

So 4 hours

You add the 4.25 hours

10, 11, 12, 1 is the hour

And .25 is a fourth, and a fourth of 60 minutes is 15 minutes

So he left at 1:15 pm

$9.00 per flower 90÷10=9

4 2 inch cubes are needed to fill the cubic box

The volume of the larger cube is 64 cubic inches and the volume of the smaller cube is 8 cubic inches. By dividing the larger volume by the smaller, we find that 8 two-inch cubes can fit in a four-inch cube.

The question is asking how many 2 inch cubes can fit into a bigger cube that has 4 inch edges. Firstly, we need to calculate the volume of the bigger cube by using the formula for volume of a cube which is the edge length cubed. So, 4 inches x 4 inches x 4 inches gives us a total of 64 cubic inches.

To find out how many 2 inch cubes can fit into the 64 cubic inch box, we would divide the volume of the bigger box by the volume of the smaller cube. The volume of the 2 inch cube is 2 inches x 2 inches x 2 inches which equals 8 cubic inches.

Dividing the volume of the bigger cube by the volume of the smaller cube gives us 64 divide by 8 equals 8. So, 8 cubes of 2 inch sides can fit into one cube of 4 inch sides.

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12. the square route of 36 is 6 and 6 times 2 is 12.

Twice the square root of 36 is equal to 12.

Here, we have,

given that,

what is twice the square root of 36

now, we have,

Twice the square root of 36 can be calculated as follows:

Twice the square root of 36 = 2 * √36

Since the square root of 36 is 6:

Twice the square root of 36 = 2 * 6 = 12

Therefore, twice the square root of 36 is equal to 12.

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To solve this problem all you need to do is to combine like terms. Like terms are terms with the same variables (for ex. 4x and 6x, 3y and 9y) and powers (for ex. e^2 and x^2).

Start by writing out the entire problem to be well organized and make it easier to see if you were to do this with pen and paper.

(10j - 7) - (-9j + 2)

Distribute the negative sign into everything inside of the parentheses on the right hand side. Rewrite the problem again (preferably after every step to make it easier to catch a mistake you made if you were to double check your work).

(10j - 7) + 9j - 2

Finish off this problem by combining like terms. Add 10j and 9j together, and also add -7 and -2 together. Your final answer should look like this:

19j - 9

Here is your equation:

[tex]4x-2>12[/tex]

You're looking for x. To find it, you have to remove everything on the same side of x. The only thing with x is negative 2. To remove it, you have to do the opposite of it, which is positive 2, which is the same as adding 2.

Add 2 to both sides:

[tex]4x-2+2>12+2 \\4x>14[/tex]

You need to find the value of x alone. The variable is 4x. To leave x alone, you have to divide by 4.

Divide by 4 on both sides:

[tex]4x \div 4 > 14 \div 4 \\\\x>\frac{14}{4}[/tex]

The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:

[tex]\frac{14 \div 2}{4 \div 2} = \frac{7}{2}[/tex]

New Inequality:

[tex]x>\frac{7}{4}[/tex]

That means your answer is x > [tex]\bf \frac{7}{2}[/tex]

If you have any questions, feel free to ask in the comments! :)

Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse

base=2 feet

hypotenuse(ladder)=13 ft

We need to find the altitude,

By applying pythagoras theorem,

base square+altitude square=hypotenuse square

Take altitude as x

2 square+x square=13 square

4+x square=169

x square=169-4

x square=165

x= root of 165

x=12.8 feet(approx.)

5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right

To find the fraction of cornbread that Val eats, we multiply the fraction of leftover cornbread by the fraction that Val eats.

To find the fraction of the cornbread that Val eats, we first need to find the fraction of cornbread that is leftover after the picnic. The question tells us that 5/12 of the cornbread is leftover. Next, we need to find the fraction of the leftover cornbread that Val eats. The question states that Val eats 4/5 of the leftover cornbread. To find the final fraction, we multiply the two fractions together: 5/12 * 4/5 = (5 * 4) / (12 * 5) = 20 / 60. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 20, resulting in 1/3. Therefore, Val eats 1/3 of the cornbread.

In 2009, there were 3 million more flex fuel vehicles than in 2004.

There is asked how many more flex fuel vehicles were available in 2009 compared to 2004. A flex fuel vehicle is one that can run on more than one type of fuel, usually gasoline combined with either ethanol or methanol fuel.

In 2004, there were approximately 5 million flex fuel vehicles. By 2009, this number rose to about 8 million. To find the increase, we subtract the initial number from the final number:

Number of flex fuel vehicles in 2009 - Number of flex fuel vehicles in 2004 = Increase in flex fuel vehicles

8 million - 5 million = 3 million

Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.

Step-by-step explanation:

Since we have given that

The scale on the first map is

[tex]1\ cm:10\ km[/tex]

That means

[tex]1\ cm=10\ km[/tex]

Distance from Cleveland to Clncinnati = 40 cm

So,

[tex]1\ cm=10\ km\\\\40\ cm=10\times 40\ km\\\\40\ cm=400\ km[/tex]

Similarly, Scale on the second map is given by

[tex]1\ cm:50\ km\\\\i.e.\\\\1\ cm=50\ km[/tex]

So, our 400 km in second map will be

[tex]\frac{400}{50}\ km=8\ km[/tex]

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.

The answer is 22 1/2