Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car B traveled 22 mph faster than Car A. How fast did Car A travel? (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) Enter your answer in the box.

Step 1: Simplify both sides of the equation.

−23(3x−4)+3x=56

(−23)(3x)+(−23)(−4)+3x=56(Distribute)

−69x+92+3x=56

(−69x+3x)+(92)=56(Combine Like Terms)

−66x+92=56

−66x+92=56

Step 2: Subtract 92 from both sides.

−66x+92−92=56−92

−66x=−36

Step 3: Divide both sides by -66.

−66x  /-66= -36/-66

x= 6/11

Final answer:

To solve the equation -23(3x-4)+3x=56, distribute the -23, combine like terms, and solve for x, resulting in x=6/11 or approximately 0.5455.

Explanation:

To solve the equation −23(3x−4)+3x=56, we need to distribute the -23 inside the parentheses and then combine like terms.

First, distribute:

Then, combine like terms:

Finally, divide both sides by -66 to solve for x:

The solution is x = 6/11. It is important to note that we cannot verify this solution with the information provided about identities or other equations because they do not pertain directly to this problem. To check our result, substituting x back into the original equation should yield a true statement.

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1 where as an irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

Answer:

Rational Number is defined as the number which can be written in a ratio of two integers. An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero.

Step-by-step explanation:

Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.

x+90=4x

90=3x

x=30

Answer:

Step-by-step explanation:

Observe that (x + 90)° and 4x° are verticle angles.

By definition, those angles are equal, taht is

[tex]x+90=4x[/tex]

Then, we solve for [tex]x[/tex]

[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]

Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.

angle = 37°

complementary angles have a sum of 90°

the angle whose complement is 53° = 90° - 53° = 37°

[tex]y=4[/tex]

Given - [tex]\frac{9}{4y} -12=\frac{1}{4y} -4[/tex]

To find - [tex]y=?[/tex]

Since,

[tex]\frac{9}{4y} -12=\frac{1}{4y} -4\\\frac{9}{4y} =\frac{1}{4y} +8\\\frac{8}{4y} =8\\2y=8\\y=\frac{8}{2} \\y=4[/tex]

Therefore, [tex]y=4[/tex].

Know more about the equations here:

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i believe the answer would be - recreational drug user.

hope this helps you out!

Recreational drug users engage in occasional, pleasurable drug use for leisure or social purposes. While they may not show signs of dependency, awareness of potential risks is essential. Responsible use and moderation are key.

Individuals who use drugs relatively infrequently and define drug use as pleasurable are often referred to as recreational or occasional drug users. These individuals typically use substances like alcohol, cannabis, or other recreational drugs on a sporadic basis, and they may not exhibit signs of dependency or addiction.

For them, drug use is a choice made for leisure or social purposes, rather than a habitual or compulsive behavior. Recreational drug users tend to consume substances in social settings, during special occasions, or for specific experiences such as relaxation or enhancing social interactions.

It is important to note that while these individuals may not display the same level of risk associated with frequent or heavy drug use, they should still be aware of potential health and safety risks associated with any form of drug consumption. Responsible use, moderation, and informed decision-making are crucial aspects of recreational drug use.

To learn more about drug

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The formula of a midpoint:

[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]

We have:

[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]

Substitute:

[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]

The total cost to fence a 75ft by 90ft backyard at $6 per foot is $1980. This is found by first calculating the perimeter of the yard and then multiplying this by the cost per foot.

To calculate the total cost of fencing the rectangular yard, we must first work out the perimeter of the yard. The perimeter of a rectangle can be found using the formula 2(length + width). In this case, the length is 75ft and the width is 90ft.

So, the perimeter is 2(75ft + 90ft) = 2(165ft) = 330ft.

Then, to find the total cost, we multiply the perimeter by the cost per foot. That is:

Total Cost = Perimeter x Cost Per Foot.

Therefore, the Total Cost = 330ft x $6/foot = $1980.

So, it would cost $1980 to fence the backyard.

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Answer: A) yes the graph passes the vertical line test

What is the vertical line test? It's a test to see if we have a function. Here's how the test works: if you can draw a single line that passes through more than one point on the function curve, then the graph fails the vertical line test. If it fails the test, then the relation is not a function.

In this case, it is impossible to draw a single line that goes through more than one point on the orange curve. So this curve passes the test. Therefore, the curve represents a function. Any input (x) leads to exactly one output (y).

Answer:

The answer is

Step-by-step explanation:

In the attachment!

The 5 in 756 is in the tens place meaning that it equals to 50.  That would mean that it is 5 groups of 10

Solution

The general form of the n-th term = a + (n-1)d

An = 2 +(n-1)0.5

An = 2 + 0.5n - 0.5

An = 0.5n +1.5

Here the slope is 0.5 and y-intercept is 1.5

Therefore, the line start from y = 1.5 rises 0.5 level because the slope is 0.5

Now look at the graph.

The graph D start from 1.5 and moves at the rate of 0.5

The answer is Graph D.

Answer:

24 gallons

Step-by-step explanation:

To answer this question let's call "a" the capacity of the tank in gallons.

Initially it is one third of its capacity, but when 4 gallons are added, it is half full.

This statement can be written as an equation in the following way:

[tex]\frac{1}{3}a+4=\frac{1}{2}a\\[/tex] (1)

This equation represents the given conditions, therefore solving it we can clear "a" the capacity of the tank in gallons

Solving the equation we have:

[tex]\frac{1}{3}a-\frac{1}{2}a =-4\\a (\frac{1}{3}-\frac{1}{2}) = -4\\a (-\frac{1}{6}) = -4\\a (\frac{1}{6}) = 4\\a = 24\\[/tex]

Therefore the capacity of the tank is 24 gallons.

We can check this result by verifying if it meets the given conditions. The half of 24 is 12. Therefore, if we divide 24 at 3 and then add 4, we should get half the capacity of the tank, that is, 12 gallons.

[tex]\frac{24}{3} = 8\\8 + 4 = 12[/tex]

12 is half the capacity of the tank, then equation (1) is met and the result is checked

down six over two im not sure though

The slope intercept form of the line is ,

> y = mx + c

where

For example :-

> y = 3x + 4

Answer: 4.5 minutes.

Step-by-step explanation:

1. You have the following information given in the problem above:

- Erica runs [tex]\frac{1}{6}km[/tex] in a minute.

- The school is [tex]\frac{3}{4}km[/tex] away from her home.

2. Therefore, to solve the exercise you must multiply [tex]\frac{3}{4}km=0.75km[/tex] by 1 minute and divide this by  [tex]\frac{1}{6}km=0.166km[/tex], as following:

[tex]x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min[/tex]

3. Therefore, the result is 4.5 minutes.

Answer:

4.5

Step-by-step explanation:

The answer would be 4.

700 x 300 = 210,000

First multiply 700 and 300

700 x 300= 210000

Now count the zeros in the number.

So the product of 700 and 300 have 4 zeroes.

Another way to do this is just count the zeroes under 700 and 300.

When you multiply any two numbers that have zeroes the zeroes will practically add together.

For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.

Or 30 x 40=1200 they had one zero and the total has 2 zeroes.

Answer:

36 M

Step-by-step explanation:

For a square, you can multiply the given side length by 4 to get the area.

Hey there!!

The base fee was $15.95 and an extra of $94 cents, 94 cents can be written as $0.94. The number of miles can be denoted as 'm'  as the number of miles can vary and it is a variable.

The total cost would be = The base price + The cost for number of miles driven.

The total cost = $15.95 + $0.94 × ( the number of miles driven ).

∴ The number of miles is driven as 'm'.

The total cost = $15.95 + 0.94m

The total cost is given $159.77

Hence,

... $15.95 + $0.94m = $159.77

Subtract 15.95 on both sides  :

... 0.94m = $159.77 - $15.95

... 0.94m = 143.82

Dividing by 0.94 on both sides :

... m = 143.82 / 0.94

... m = 153

Hence, the number of miles driven is 153 miles.

Hope my answer helps!!

To solve this, we subtract the base fee from the total fee to find the total cost for the miles driven. Then, we divide this by the price per mile to find the number of miles driven. Keith drove approximately 153 miles.

This is a problem of linear equations, which is a part of Mathematics. Here we are working with the cost of a rented service. In this case, Keith has to pay both a base fee and a fee per mile driven in the truck.

The total fee Keith paid for the rental is the combination of the base fee and the fee for the miles driven. Given that the base fee is $15.95 and the total fee is $159.77, we first need to subtract the base fee from the total fee, which gives us $159.77 - $15.95 = $143.82. This amount is the total fee for miles driven.

As each mile costs him $0.94, we can find out how many miles Keith drove by dividing the cost of miles driven by the price per mile. So, Keith drove $143.82 ÷ $0.94 = approximately 153 miles.

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The first way is to cross multiply

4/5 = 28/x

4x = 5*28

4x = 140

4x/4 = 140/4

x = 35 which is the answer

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

The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35

Either way, the answer is x = 35

If Chris ran 2.5 laps in 81 seconds,

his average time per lap would be  81/2.5 ,

that is 32.4 seconds.

This is simple subtraction.

Jimmy has 209,835 stamps and gives away 38,998 stamps.

this leaves Poor Jimmy with only 170,837 stamps

The two sets of consecutive integers that multiply to 182 are (13, 14) and (-13, -14). First, find the factors of 182 then identify which pairs of these factors are consecutive.

The problem at hand is finding two pairs of integers that multiply to 182. Since the integers are consecutive, we can use a knowledge of factors to solve this. The pairs (13, 14) and (-13, -14) meet this criteria of consecutive integers that multiply together to give a product of 182. Here is the step-by-step explanation:

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It would be 25% because how to make dollar .25 .50 .75 1.00

We are given : g(x) = 5x + 2.

y = 1 x

h = x^2

r(x) = x

f/x = x^5 - 3

b(x) = 1/2 x^3

p/x = -7x

k(x) = - 3 x + 1

y = mx + b

fx = -x^3 + 4

Note: Function is written in the from of f(x) and read as function f of x.

There could be any letter used for function, like h(x), g(x), k(x).

Therefore, in the given options the following are in function notations only:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x^3

k(x) = - 3 x + 1.

Answer:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x^3

k(x) = - 3 x + 1.

Step-by-step explanation:

Cindy sold 8 mango smoothies today. This was determined by solving a system of linear equations that was created based on the information provided in the problem.

This problem is a classic example of a system of linear equations. Let's denote the number of blueberry smoothies as x and the number of mango smoothies as y. From the problem, we know that the price of a blueberry smoothie is $5 and the price of a mango smoothie is $4. Therefore, we have our first equation: 5x + 4y = 52. Cindy also sold four more mango smoothies than blueberry ones, which gives us the second equation y = x + 4.

Now, we need to solve this system of equations. Let's substitute y from the second equation into the first, and solve for x: 5x + 4(x + 4) = 52. This gives x = 4 (number of blueberry smoothies), so y = x + 4 = 8 (number of mango smoothies).

So, Cindy sold 8 mango smoothies today.

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Answer:

x= In4/3

Step-by-step explanation: other answer