Jonas bought 3 books. Each book was the same price. After using a $10-off coupon, the total charge was $20. Which equation can be used to find b, the cost of each book?

Answer:

let the smaller number be x and the larger number is y

y =x+3

x+y²=377

x+(x+3)²=377

x+(x+3)(x+3)=377

x+x²+3x+3x+9=377

x²+7x+9-377=0

x²+7x-368=0

using factorization method

check the attachments for more details

Answer:

188

Step-by-step explanation:

Ive attached my work

Hope it helps, Let me know if you have any questions !

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,

[tex]t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}[/tex]

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,

[tex]t+2=3+\dfrac{(x-3\times35)}{51}[/tex]

As t is same, thus put the value of t in this equation,

[tex]\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6[/tex]

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

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Answer:

Step-by-step explanation:

f(x) = -37 it is a constant function. For any real number, the function takes the value -37.

Therefore

Domain is all real numbers

Range is only one number, -37.

Answer:

x=34/5 y= -18/5

Step-by-step explanation:

check the image above since it works on fractions it will be too messy in typing

Answer:

4.  A.  y = -3x - 2

5.  B.  ¹/₃

Step-by-step explanation:

General form of a linear equation:   y = mx + b

(where m is the slope and b is the y-intercept)

Question 4

From inspection of the graph, the y-intercept is at y = -2

The slope is the change in y divided by the change in x, so we can see that for every change of 1 x-value, the y-value decreases by 3 units.

Therefore, the slope is -3

So the equation of the line is y = -3x - 2

Question 5

Referring to the general form of the linear equation quoted above,

for equation y = ¹/₃x + 4

Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

it is a 90° angle

a = 90 - 49

a = 41

hope it helps...!!!

Answer:

Step-by-step explanation:

we know 100 cm are in one meter,  so,  3 meters = 300 cm

then  20/300  =  20 cm  of 3 meters  , now just reduce the fraction

20/300

= 2 / 30

= 1/15

see??

Answer:

Question 7: 64

Step-by-step explanation:

Let me know if you need more help !!

Step-by-step explanation:

hopefully the picture uploads

Answer:

x plus 5 = 2/3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

You just have to plug in the values :)

Since y = 3 and x = 2:

4y - x = 4(3) - 2 = 12 - 2 = 10

Answer:

10

____

[tex]\sf Part[/tex] I

⋆ [tex]\sf Given~y~and~x~are~3~and~2...[/tex]

⋆ [tex]\sf Use~the~values~to~solve[/tex]

____

[tex]\sf Part[/tex] II

[tex]4y-x\\(4y)-x\\(4*y)-x\\(4*3)-2\\= 10[/tex]

here is the answer of your question

Answer:

it a 26.64 units. hope it helps

Answer:

169.56 m³

Step-by-step explanation:

» Concepts

The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.

» Application

We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.

» Solution

Answer:

Probability of red marble- 4/14

Probability of blue marble- 7/10

Hope this helps!

Answer:

PENDULUM A pendulum swings with an arc length of 24 feet on its first swing. On each swing after the first swing, the arc length is 60% of the length of the previous swing. Draw a graph that represents the arc length after each swing.

Equations to use:

x = biology

y = history

x + y = 445.

x - 45 = y

Step-by-step explanation:

hope you understand..........

Answer:

54.9381 square inches

Step-by-step explanation:

Find the areas of both the square box and the circular pizza.

The equation for the area of a square is A = s^2. (or A = lw)

A = 16^2 = 256 square inches

The equation for the area of a circle is A = πr^2.

A = π(8^2) = 64π = 201.0619 square inches

Now subtract the areas.

256 - 201.0619 = 54.9381 square inches

Answer:

35.5cm^2

Step-by-step explanation:

I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2

Answer:

x-intercept: (8/5, 0)

y-intercept: (0, 8)

Step-by-step explanation:

y = mx + b has y-intercept at b.

y = -5x + 8 has y-intercept at 8. The point is (0, 8).

The x-intercept occurs when y = 0.

-5x + 8 = 0

-5x = -8

x = 8/5

The x-intercept is 8/5, so the point is (8/5, 0).

An equation is formed of two equal expressions. The amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount of premium anti-freeze solution mixed be represented by x, while the amount of water mixed be represented by y.

Since the total mixture should be 240 gallons, therefore,

x + y = 240

Solving for y,

y = 240 - x

Given the percentage of pure antifreeze, the mixture should contain is 15%. Therefore, we can write,

60%x + 0%y = 15%(240)

0.60x = 0.15(240)

x = 60 gallons

Now substitute the value of x in the first equation,

y = 240 - 60 = 180 gallons

Hence, the amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.

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Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

Work Shown:

(0.10)^3 = (0.10)*(0.10)*(0.10) = 0.001

Answer:

0.001

Step-by-step explanation:

This can be modeled as a binomial distribution as:

Let "success" be the balloon popping.

⇒ trials (n) = 3

⇒ probability of success (p) = 0.10

To find the probability that all 3 of the balloons pop, use the binomial distribution with x = 3:

[tex]\begin{aligned} \displaystyle P(X=x) & =\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}\\\\\implies P(X=3) & =\binom{3}{3} \cdot 0.1^3 \cdot (1-0.1)^{3-3}\\ & = 1 \cdot 0.001 \cdot 1\\ & =0.001 \end{aligned}[/tex]

Answer:

6a^2

Step-by-step explanation:

2a x 3a

a x a = a^2

2 x 3 = 6

2a x 3a = 6a^2

2a × 3a

a × a = a²

2 × 3 = 6

2a × 3a = 6a²

Step-by-step explanation:

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