Solve the equation for the variable.

[tex]49 - \frac{2}{3} x = 32 - \frac{1}{6} x[/tex]

x = [?]​

Answer:

$0.25 per donut.

Step-by-step explanation:

So, we know that Jamie spends the same amount of money each morning.

On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.

On Monday, he spent $0.50 on a newspaper and bought 5 donuts.

Since he spend the same amount of money each morning, we can say that:

[tex]1.25+2x=0.5+5x[/tex]

Where x represents the cost per donut.

So, to find the cost of a donut, we need to solve for x.

So, let's try to isolate the x. Subtract 2x from both sides:

[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]

The left side cancels. Subtract on the right:

[tex]1.25=0.5+3x[/tex]

Now, let's subtract 0.5 from both sides:

[tex]0.75=3x[/tex]

To find x, divide both sides by 3:

[tex]x=0.75/3[/tex]

Divide:

[tex]x=0.25[/tex]

Therefore, each donut cost $0.25.

And we're done!

Answer:

y intercepts= 0       x intercepts= none

nation:

The 2 funtions above the x axis do not intercept with the y-axis or the x-axis. They just hover above it, but never atcually touch it.

The function bellow the x-axis only intercepts the y-axis at 0,0

The x and y intercepts of the graph of the function are x=none and y=-1 respectively.

From the given figure we need to find the x and y intercepts of the function.

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

From the graph, we can see two curves running on x-axis.

The curve crosses the y-axis at y=-1.

Therefore, the x and y intercepts of the graph of the function are x=none and y=-1 respectively.

To learn more about the x and y intercepts visit:

https://brainly.com/question/14180189.

#SPJ5

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is

x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )

x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

The shortest side is x - 5 = 3 in

Answer:

y=5x+20

Step-by-step explanation:

It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.

Answer:

y=5x+20

Step-by-step explanation:

Answer:

0.001665973

Step-by-step explanation:

Answer:

Swan85 is incorrect. Here is the correct answer.

The required graph of the line y = 2x -3 has been attached.

The equation of a line is typically written in slope-intercept form, which is:

y = mx + b

Where:

"y" represents the y-coordinate of a point on the line.

"x" represents the x-coordinate of the same point on the line.

"m" represents the slope of the line.

"b" represents the y-intercept of the line (where the line crosses the y-axis).

In this form, "m" and "b" are constants that determine the position and orientation of the line.

Here,

The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.

Based on this graph, the graph of the line y = 2x -3 has been attached.

Learn more about the equation of the line here:

https://brainly.com/question/21511618

#SPJ7

Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4

The slope of the linear function is negative

The graph is a linear function that has the following property:

The above highlight implies that the slope of the line is negative

Hence, the true statement is (2) Negative

Read more about linear function at:

https://brainly.com/question/15602982

Answer:

Negative

Step-by-step explanation:

Edge

Answer:

A. Yes

B. No

C. Yes

Step-by-step explanation:

A. 90 divided by -9 equals -10. So -10+10=0

B. -10 times -9 equals 90. 90+90=180

C. -90 dived by 9 equals -10. Subtracting a negative number is equal to adding it so -10 - (-10) = 0

Answer:

Ok, we know that the price, per pond of grapes, is $1.99.

Now the function that models the cost of grapes is:

C(x) = $1.99*x

Where x is the number of pounds that you buy.

Here we can assume two things:

1) The grapes are already in bags, so x can be only whole numbers, as x can take only whole numbers, the cost c(x) will be discrete because there are a lot of possible costs that are not accessible.

Then the domain is:

D: {0, 1, 2, 3, 4.....}

And the range is :

R: {0*$1.99. 1*$1.99, 2*$1.99, ...}

2)You can choose any amount of grapes that you want, and then the grapes are weighted when yo pay.  (This has not really sense, but it is fun to analyze the problem in different ways)

Here the weight can take almost any value, because with individual grapes you can have almost any number of pounds.

But the unit that defines the total weight is the weight of a single grape.

Then if you have N grapes (and all of them weight almost the same, let's say M)

The total weight will e N*M

If you add one more grape, the weight is: (N + 1)*M

Then it is still discrete!

As we do not know the mean weight of a grape, we can not find the domain  nor the range in this situation, so the one above is the one that we should consider the correct one.

Answer:

1/3 is a rational number

Step-by-step explanation:

Answer:

[tex]2.4\text{ feet}[/tex]

Step-by-step explanation:

A rectangle's perimeter is given by the formula:

[tex]P=2(l+w)[/tex]

A rectangle's area is given by the formula:

[tex]A=lw[/tex]

We are given that they have the same numerical value. In other words:

[tex]2(l+w)=lw[/tex]

And we are also given that the length is 12 feet. So, substitute 12 for l:

[tex]2(12+w)=12w[/tex]

To solve for the width, we just need to solve for w.

On the left, distribute:

[tex]24+2w=12w[/tex]

Subtract 2w from both sides. The left side cancels:

[tex]24=10w[/tex]

Divide both sides by 10. Flip also:

[tex]w=\frac{24}{10}[/tex]

Reduce both layers. Use 2. So:

[tex]w=12/5=2.4[/tex]

So, the width is 2.4 feet.

And we're done!

Answer:

2.4

Step-by-step explanation:

Answer:

(x - 1) (x + 2)

Step-by-step explanation:

Use the AC method

Answer:

152.25

Step-by-s152.25tep explanation:

Answer:

Dominique has $162.25 dollars left after shopping.

Step-by-step explanation:

250 - 17.50 - 32.75 - 12.50 x 3

250 - 17.50 - 32.75 - 37.5

232.5 - 32.75 - 37.5

199.75 - 37.5

162.25

Answer:

10 = 5x

5/10

x =1/2

unit rate is equal to 0.50

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

the answer is 100$ on endgunuity

Step-by-step explanation:

The cost for 5 of the gift cards is $100. Therefore, option C is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80).

Now, we will find m and c using the points (1,20) and (2,40)

Let x be the number of gifts cards and y is total cost (in $).

The slope, m = (40-20)/(2-1)

m = 20

Equation of straight line is given as,

y = mx + c

Put the value of m,

So, y = 20x + c

Substitute with the point (1,20) in y=20x+c, we get

20 = 20×1 + c

20 = 20 + c

c = 0

The equation of the line, y = 20x

To find the cost for 5 of the gift cards substitute with x = 5

y = 20×5 = 100

So, the cost for 5 of the gift cards = $100

Therefore, option C is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ6

Answer:

Inverse property of addition is what I think.

Step-by-step explanation:

Answer:

pythagoras theorem

Step-by-step explanation:

watch khan academy video on you tube or the organic chemistry tutor , very helpful i had difficulty too but now I don't

Answer:

I can't understand your language

Answer:

Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Answer:

B Hope this helps

Step-by-step explanation:

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

Answer:

1-x=y cubed

Step-by-step explanation:

difference between 1 and a number is 1-x and the answer to this you cube.

Answer: a plane

Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).