Evaluate the expression when x = 4. 3x + 2 A. 36 B. 24 C. 18 D. 14

Answer:

Plane Speed (x) = 378 mph

Step-by-step explanation:

Equation

d = r * t

Givens

With the wind

Against the wind

Equation

The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.

(x + y)*4 = (x - y)*5                   Remove the brackets on both sides

Solution

Solution part 2

Now take one of the distance formulas and solve for x first then y.

Answer:

For the number 3 there are 33 numbers divisible by 3 from 1 to 100. If you want the number divisible by both 3 and 4 it is 58 . 58 - 8 = 50 numbers by 3 or 4. Hope I helped

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 5) and (0, 2). Substitute:

[tex]m=\dfrac{2-5}{0-(-4)}=\dfrac{-3}{4}=-\dfrac{3}{4}[/tex]

Slope of the line passing through the pair of points (−4, 5) and (0, 2) is option C. -3/4.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given are two points on a line.

(−4, 5) and (0, 2)

We have to find the slope of the line.

Slope = Change in y coordinates / Change in x coordinates

          = (2 - 5) / (0 - -4)

          = -3/4

Hence the slope of the line through the two points is -3/4.

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Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

The given linear equation is;

[tex]\frac{3x+5}{2}=-5[/tex]

We multiply through by 2 to clear the fraction.

This implies,

[tex]3x+5=2\times -5[/tex]

[tex]3x+5=-10[/tex]

Group like terms,

[tex]3x=-10-5[/tex]

Simplify,

[tex]3x=-15[/tex]

Divide both sides by 3.

[tex]\Rightarrow x=-5[/tex]

Answer:

x = -5

Step-by-step explanation:

[tex]\frac{3x+5}{2}[/tex]=-5

Multiplying both sides by 2

3x + 5 = -10

3x + 5 - 5 = -10 - 5

3x = -15

Dividing by 3 on both sides

x = -5

I want to help you but i get stuck every time i try doing your problem you might wanna try photo math its an app you can download that helps you with your math problems.

Answer: Choice B and choice D

The function that models the situation is y = 350 - 50x

The initial value defined by the function is 350

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

Explanation:

Each time you increment (increase) x by 1/2 = 0.5 an hour, the y value drops by 25. So this means that each increase of 1 full hour means y drops by 50. The rate of change is -50, not positive 50, so this rules out choice C (which is fairly close but not quite there)

The initial value is 350 because we go backwards on the table. If x decreases by 0.5 hr, then y increases by 25 miles. So we add 25 to the y value in the first row to get 325+25 = 350 as our starting value. This is how far it is from the Robinson home to their relatives' house, which is why choice D is one of the answers.

The other answer is choice B because m = -50 is the slope or rate of change, and b = 350 is the starting value (y intercept), so y = mx+b turns into y = -50x+350 and that's equivalent to y = 350 - 50x. All I did was swap the values since we can add in any order. Because choice B is the proper function, this rules out choice A as an answer.

The function that models the situation is y = 350 - 50x. The rate of change defined by the function is 50. The initial value defined by the function is 350.

The function that models the situation is y = 350 - 50x.

B) The function that models the situation is y = 350 - 50x.

C) The rate of change defined by the function is 50.

D) The initial value defined by the function is 350.

To determine the function that models the situation, we can use the table provided.

The table represents the relationship between the amount of time, x, and the remaining distance, y, after driving for that amount of time.

Since the remaining distance decreases as the amount of time increases, we can conclude that the function is a linear function with a negative slope.

The slope represents the rate of change, which is the amount by which y decreases for each unit increase in x.

In this case, the rate of change is 50, meaning that for every hour of driving, the remaining distance decreases by 50 miles.

The initial value of 350 represents the distance remaining when no time has passed (x = 0).

This means that when the family starts their drive, they have 350 miles left to travel.

Therefore, option D is correct.

Answer:

B

Step-by-step explanation:

subtract the volume of the small box from the large box, that is

5x² - 2x + 10 - (3x² + 3x)

= 5x² - 2x + 10 - 3x² - 3x ( collect like terms )

= 2x² - 5x + 10 → B

The answer is:

B. (5x2 − 2x + 10) − (3x2 + 3x) = 2x2 − 5x + 10)

Look at the picture.

x + 2x = 12

3x = 12     divide both sides by 3

x = 4

AB = 12 + x

therefore AB = 12 + 4 = 16

The student needs to calculate the total number of ounces collected by multiplying the number of students by the amount each student brought in, then add these totals together. The collection goal of 200 ounces minus this sum will equal the number of ounces left to be collected.

To answer your question properly, we first need to calculate the number of ounces the students have already collected. The calculation goes as follows: (3 students * 12.7 ounces per student) + (4 students * 17.3 ounces per student). The result of these calculations will be the total ounces of cans brought in. To determine how many ounces of cans are left to be collected to reach the goal, we subtract this sum from 200, the collection goal in ounces. As these are basic arithmetic calculations, they present an example of how mathematics can be used to solve practical problems relating to the real-world context of the question.

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Answer:

x=248

Step-by-step explanation:

4log4(x+8)=4^2

Divide each side by 4

4/4log4(x+8)=4^2 /4

log4(x+8)=4

Using logb(x) = a  yields   b^a =x

4^4 = x+8

256 = x+8

Subtract 8 from each side

256-8 = x+8-8

248 =x

Answer:

You get 0.95

Step-by-step explanation:

Change each percentage to decimals.

70% is equal to 0.70

25% is equal to .25

15% is equal to .15

Add the decimal of pizza to the decimal of salad.

Answer:

(-1,3)

Step-by-step explanation:

Graph the given system of equations

y=-x+2  

make a table for each equation to graph it

Lets assume some value for  x  and find out y

x     y=-x+2

-1      -(-1) + 2= 3

0       0+2 = 2

1         -1+2 = 1

Now make  a table for second equation

y= 4x+7

Lets assume some value for  x  and find out y

x     y= 4x+7

-1       4(-1) +  7= 3

0       4(0) + 7 = 7

1        4(1) + 7 = 11

The graph is attached below

Solution is (-1,3)

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  

The discretionary money for a month is $1628.16, excluding savings per month.

The discretionary money is the leftover money in the income after excluding the savings and expenditures.

The given realized income is $36,864.00/yr

Then for a month, the realized income = $36,864/12

                                                                = $3072/month

Fixed and housing expenses are 32% of the realized income/month

= $3072 × [tex]\frac{32}{100}[/tex]

= $983.04

Savings are 15% of the realized income/month

= $3072 × [tex]\frac{15}{100}[/tex]

= $460.8

Then subtracting these from the realized income per month to get the discretionary money

Discretionary money (per month) = $3072 - $983.04 - $460.8

                                                        = $1628.16

So, the discretionary money left after excluding savings is $1628.16/month.

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Answer:

x≥5

Step-by-step explanation:

A) 8+7+10+x ≥ 30

B) 8+7+10+x ≥ 30

First add 8, 7 and 10

8+7+10=25

25+x ≥ 30

Now subtract 25 from both sides (25-25) and (30-25)

x≥5

Answer:

I believe its B but im not to sure with this question sorry

Step-by-step explanation:

Answer:

Your answer would be D: isometry

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Solve for y:

5 y = 135

Divide both sides of 5 y = 135 by 5:

(5 y)/5 = 135/5

5/5 = 1:

y = 135/5

The gcd of 135 and 5 is 5, so 135/5 = (5×27)/(5×1) = 5/5×27 = 27:

Answer:  y = 27

Answer:

y = 27

Step-by-step explanation:

Divide both sides of the equation by 5.

[tex]\frac{5y}{5}[/tex] = [tex]\frac{135}{5}[/tex]

[tex]y = 27[/tex]

To check if this is true, substitute 27 back into the original equation.

[tex]5y=135[/tex]

[tex]5(27)=135[/tex]

[tex]135=135[/tex]

[tex]\left \{ {{y=x+3} \atop {y=3x+6}} \right. \\\\ \left \{ {{y=x+3} \atop {3x+6=x+3}} \right. \\\\\left \{ {{y=x+3} \atop {3x-x=3-6}} \right. \\\\\left \{ {{y=x+3} \atop {2x=-3\ /:2}} \right. \\\\\left \{ {{x=-1.5} \atop {y=-1.5+3}} \right. \\\\\left \{ {{x=-1.5} \atop {y=1.5}} \right.[/tex]

[tex]\left\{\begin{array}{ccc}y=x+3&(*)\\y=3x+6&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\x+3=3x+6\qquad\text{subtract 3 from both sides}\\\\x=3x+3\qquad\text{subtract 3x from both sides}\\\\-2x=3\qquad\text{divide both sides by (-2)}\\\\\boxed{x=-1.5}\\\\\text{Put the value of x to}\ (*)\\\\y=-1.5+3\\\\\boxed{y=1.5}\\\\Answer:\ \boxed{x=-1.5\ and\ y=1.5\to(-1.5;\ 1.5)}[/tex]

Ralph needs to lose 53 pounds to reach his goal of weighing at most 195 pounds, which he can achieve through a slow and steady weight-loss approach.

Ralph is currently weighing 248 pounds and wishes to weigh at most 195 pounds. In order to find out how many pounds he needs to lose, we subtract his desired weight from his current weight.

Current weight - Desired weight = Weight to lose

248 pounds - 195 pounds = 53 pounds

Therefore, Ralph would need to lose 53 pounds to reach his goal of weighing at most 195 pounds. This aligns with the concept of achieving slow and steady weight-loss goals, typically losing 1 to 2 pounds per week for sustainable results. As noted, many obese people worry about being heavy, and while losing weight can be challenging, successful dieters often make lifelong changes to their eating and activity patterns.

Answer:

152/15

Step-by-step explanation:

So 3 1/5 can be rewritten as 16/5 and 3 1/6 can be written as 19/6. SO 16/5*19/6 is 304/30 or simplified as 152/15

Answer:

the answers are below

Step-by-step explanation:

I don't know which one you needed help on

First one: 128x=96 --> x=3/4 so 96 is 75% of 128

Second one: 7^2=49, then use distributive property for the second part (3*5.2) and (3*-2.8)---> 49+15.6-8.4= 56.2

Third one: find the greatest common factor between 7x and 56 (it is 7 since seven can go into 56)---> 7(x+8)

Answer:

Each friend gets 0.8 of a bar

Step-by-step explanation:

4bars/5friends

When 5 friends divide 4 candy bars among themselves, each friend gets 0.8 of a candy bar.

To answer how much candy does each friend gets when 5 friends split 4 candy bars, you apply the concept of division. The total number of candy bars (which is 4) should be divided by the total number of friends (which is 5). Thus, the answer is 4/5 or 0.8. This means that each friend will get 0.8 of a candy bar.

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Answer:

Mean 22.1

% = 53.33

Step-by-step explanation:

[tex]\dfrac{4x^3+5x^2+3x}{x}=\dfrac{4x^3}{x}+\dfrac{5x^2}{x}+\dfrac{3x}{x}=4x^2+5x+3\\\\other\ method\\\\\dfrac{4x^3+5x^2+3x}{x}=\dfrac{x(4x^2+5x+3)}{x}=4x^2+5x+3[/tex]

Answer:

long division

Step-by-step explanation:

3000/3= 1000

Answer:

Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.

Step #1. Observe how many digits the divisor has.

In our example, the divisor has 3 digits.

Step-by-step explanation:Good, now we’re going to explain how to solve a 3-digit division problem in 5 simple steps.

Step #1. Observe how many digits the divisor has.

In our example, the divisor has 3 digits.                                                                                Step #2. In the dividend, start with the same number of digits that you found in Step #1.Step #3. Compare the 3 digits from the dividend and divisor.

If the dividend’s number is greater, we can begin dividing. In our example, we see that 389 is greater than 125, so let’s get started!

If the dividend’s number is less than the divisor, we must use another digit from the dividend. We’ll look at an example of this situation at a different time.

Step #4. Divide the dividend’s numbers by the divisor’s numbers.

Divide the dividend’s first number (which is 3 in our example) by the divisor’s first number (1). 3 by 1 is 3. Then, we multiply our divisor (125) by 3 and see that it fits in (in other words, that it’s less than) the dividend’s 3 numbers. So, we place the result underneath the dividend’s 3 digits and subtract.

x > 29 so,

A. 55

B. 31

Answer:

A.55

B.31

F.29

Step-by-step explanation:

Answer:

Zero

Step-by-step explanation : If you plot the points on a graph, you would notice they have the same slope but different y intercepts. This means they are Parallel lines and have no slope (Or Zero slope). Hope this helps!

The lines are parallel and will never intersect, so the answer is zero points of intersection.

First, we can determine the slopes of the two lines. Line A has a slope of (change in y)/(change in x) = (-3 - 9)/(0 - (-4)) = -12/4 = -3. Line B has a slope of (3 - (-9))/(0 - 4) = 12/(-4) = -3. Since the slopes are equal, the lines are parallel and will never intersect. Therefore, the answer is a. zero points of intersection.

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Answer:

5x^2  -3x  +9

Step-by-step explanation:

To subtract, line up the common terms.  I add a 0 term to keep the terms in line.

5x^2  + 0x  +7

- (0x^2 +3x-  2 )

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

Distribute the negative sign.

5x^2  + 0x  +7

- 0x^2 -3x  + 2

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

5x^2  -3x  +9

Answer:

B

Step-by-step explanation:

[tex](5x^{2} + 7) - (3x - 2)\\5x^{2} + 7 - 3x - (-2)\\5x^{2} + 7 - 3x + 2\\ B - 5x^{2} - 3x + 9\\[/tex]

Answer:

[tex] A = 40^\circ [/tex]

Step-by-step explanation:

Use the inverse cosine function.

[tex] \cos A = 0.7660 [/tex]

[tex] A = \cos^{-1} 0.7660 [/tex]

[tex] A = 40^\circ [/tex]

To find angle A when cos A = 0.7660, use the inverse cos function on a calculator set to degree mode, which reveals that A is approximately 40 degrees.

To find angle A to the nearest degree when given that cos A = 0.7660, we must use the inverse cosine function (also known as arccos). This can be done using a calculator set to degree mode.

Typically, you would enter 0.7660 and then press the inverse cos or arccos button on your calculator to find the angle in degrees. According to the given information, if cos A = 0.7660, then A is approximately 40 degrees, since the cosine for 40° is closest to 0.7660.

Remember to have your calculator set to degree mode rather than radian mode, to obtain the angle in degrees.

[tex]\left\{\begin{array}{ccc}7x=3y+45&|\text{subtract 3y from both sides}\\4x+5y=19\end{array}\right\\\left\{\begin{array}{ccc}7x-3y=45&|\text{multiply both sides by 5}\\4x+5y=19&|\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}35x-15y=225\\12x+15y=57\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad47x=282\qquad\text{divide both sides by 47}\\.\qquad \boxed{x=6}\\\\\text{Put the value of x to the second equation}[/tex]

[tex]4(6)+5y=19\\\\24+5y=19\qquad\text{subtract 24 from both sides}\\\\5y=-5\qquad\text{divide both sides by 5}\\\\\boxed{y=-1}\\\\Answer:\ \boxed{x=6\ and\ y=-1}[/tex]

6,-1 this is the answer

Answer:

The answer rounded would be 34.79

Step-by-step explanation:

The full answer is 34.78505426185217265198782898876

Answer:

11√10

Step-by-step explanation:

square root 22 times square root 55

= √22 * √55

= √(22 * 55)

= √1210

= √(121) * (10)

= 11√10