After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, John has $18 left. Find the cost of the book.

Answer:

x = 4

Step-by-step explanation:

Given that the triangle is equilateral then the measure of each angle is 60°

Equate 9x + 24 to 60 and solve for x

9x + 24 = 60 ( subtract 24 from each side )

9x = 36 ( divide both sides by 9 )

x = 4

Inequality is 6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less

Solution:

Given that  

Maximum amount Jim can spend to rent a boat = $34

Rental cost of boat for 1 hour = $6

Also Jim has a discount coupon for $8 off.

Need to determine possible number of hours Jim could rent a boat.

Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"

Cost of renting boat for 1 hour = 6

So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t

Also Maximum amount Jim can spend to rent a boat = $34

As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44

So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat

=> 6t  ≤ 44

On solving above equality for "t" we get ,

[tex]\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}[/tex]

Hence inequality is  6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less.

Answer:

As the first term is 11, and the sequence increases by a common difference of 11, it can be modelled with the equation 11+(n-1)(11) where n is the nth term

Hence the 100th term is 11+ 99(11)= 1100

Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.

Answer:

A= -4

B= 4

C= 1/4

D= -1/4

Step-by-step explanation:

I see u counted which is good. remember it's rise over run so for a u got up down 4 over 1. that's why the slope would be -4. You figure out the other ones the same way.

The domain for N is All integers where n ≥ 1

Solution:

According to statement a1 = 2 and r = 4. This shows that r is greater than 1.

If r is greater than 1 than it includes integers greater than 1 or equal to 1. It does not include all the real numbers because real numbers include negative numbers also.

If starting value is 2, if we put n=0, then we get 2, but if we put a negative value than we would get a number which is not a part of our sequence.

Thus the domain of n is All integers where n greater than or equal to 1

Answer:

10

Step-by-step explanation:

4 more than twice the input 3

more indicates addition, twice indicates multiplication

y = output value

x = input value

y=4+2x

y=4+2(3)

y=4+6

y=10

4 more than twice the input 3 is 10

Final answer:

To find the output that is 4 more than twice the input when the input is 3, we calculate 2(3) + 4, which equals 10.

Explanation:

The output that is 4 more than twice the input when the input is 3 can be found using a simple algebraic expression. If we let x represent the input and y the output, the expression can be written as y = 2x + 4. By substituting the input value of 3 into the equation, we have y = 2(3) + 4, which simplifies to y = 6 + 4, and further simplifies to y = 10. Therefore, the output is 10.

Answer:

(25 1/3)/76

15.5/2

Step-by-step explanation:

I'll do the first two for you, and you can use that to do the rest. Essentially, what we have to do is match up the functions so that they have the same numerator/denominator, and use that to figure out the missing part. For the first one, we have to match up 12 and 76. We can do this by obtaining the result of 76/12, which is 6 1/3. To match it up, we can multiply 12 by 6 1/3 or divide 76 by 6 1/3. As we want to match up to 76 because the missing number is on the 76 side, we must multiply both 4 and 12 by 6 1/3, resulting in  our answer being (25 1/3)/76 for the first one. Similarly, for the second one, we can divide 8 by 2 to get 4. Since the missing number is on the 2 side, we divide the 8 side by 4 to get 15.5/2. Good luck, and feel free to ask if you need help!

Seth must attend matinees at least 16 times for the six-month pass to be financially beneficial to his father.

To determine how many times Seth must attend matinees for the six-month pass to be beneficial economically, we need to calculate the break-even point where the cost of the pass equals the savings from discounted ticket prices. The normal ticket cost for a matinee is $3.50, and with the pass, the cost is reduced to $1.00. Therefore, each time Seth attends a matinee with the pass, he saves $2.50 ($3.50 - $1.00).

Let's denote the number of times Seth needs to attend matinees to benefit from the pass as 'x'. The six-month pass costs $40, So, we need to set up the following equation to find the break-even point: $2.50 × x = $40.

Divide both sides of the equation by $2.50 to solve for 'x':

x = $40 ÷ $2.50

x = 16

Thus, Seth needs to attend matinees at least 16 times to make the purchase of the six-month pass worthwhile for his father.

Answer:

y+3=-4(x-5)

Step-by-step explanation:

m=-4

y-(-3)=-4(x-5)

y+3=-4(x-5)

Answer:

yes it does have a negative slope

Step-by-step explanation:

Final answer:

The equation y=6x - 4 does not have a negative slope; instead, it has a positive slope because the coefficient of x is positive, indicating that y increases as x increases.

Explanation:

The math equation given is y=6x - 4. To determine whether it has a negative slope or not, we look at the coefficient of x, which in this case is 6. A negative slope indicates that as x increases, y decreases, and vice versa. However, since the coefficient of x here is positive (6), this line has a positive slope, not a negative one. Therefore, it means that as x increases, y also increases, which is characteristic of a positive relationship between x and y.

It is important to note that a line with a negative slope would have a negative coefficient of x. The slope is the number that is multiplying the x variable, and it represents the rate of change of y with respect to x. Graphically, a line with a positive slope, such as this one, will rise as it moves from left to right on a graph.

Answer:

The correct one is the first one

Answer:

x-intercept: (-5,0)

y-intercept: (0,3)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 5y = 15

5y = 15

y = 3

x-intercept: when y = 0

-3x + 5(0) = 15

-3x = 15

x = -5

Answer:

Step-by-step explanation:

To find the x-intercept of – 3x + 5y = 15, let y = 0 and solve the remaining equation for x:  – 3x + 5(0) = 15

Then -3x = 15, and x = -5.  Thus, the x-intercept is (-5, 0).

to find the y-intercept of – 3x + 5y = 15, set x = 0 and solve the remaining equation for y:  5y = 15, so that y = 3.  The y-intercept is (0, 3).

Answer:

10x=20

Step-by-step explanation:

Answer:

The jet travels 1,540 miles in 14 hours going at about 110 mph

Answer:

I think its 1540 miles.

Step-by-step explanation:

r=550/5

You get 110.

110 times 14= 1540.

1540 miles!  

Answer:

a. -5/2

Step-by-step explanation:

To solve the equation 6 = -9 - 6x for x, add 9 to both sides, then divide by -6, resulting in x = -2.5 or -5/2.

To solve the equation 6 = -9
- 6x for x, you first want to isolate the variable x on one side of the equation. Start by adding 9 to both sides to move the constant term from the right side to the left side:

6 + 9 = -9 + 9 - 6x

15 = -6x

Next, divide both sides by -6 to solve for x:

15 / -6 = (-6x) / -6

x = -15 / 6

When you simplify -15 / 6, you get:

x = -2.5 which is the same as -5/2

Therefore, the solution to the equation is x = -5/2.

Answer:

8) 0 + t = t ------- Identity Property of Addition

(2+b) * 0 = 0 ------- Zero Property of Multiplication

9) n * 0 = 0 ------- Zero Property of Multiplication

1m = m --------- Identity Property of Multiplication

Hope this helps

-Amelia

Answer:

8) Identity Property of Addition

9) Zero Property of Multiplication

Answer:

there you go all the answers

Answer:

The answer in the attached figure

Step-by-step explanation:

we know that

The solution of a system of linear equations is the intersection point both graphs.

If both graphs has one intersection point , then the system has only one solution

If both graphs have no intersection point, (parallel lines) then the system has no solution.

If both graphs are equal, (identical lines) then the system has infinitely solutions.

The answer in the attached figure

Answer:

Step-by-step explanation:

1.772

Answer:

C. Both (10,1) and (-4,3)

Step-by-step explanation:

The equation is x + 7y = 17

Option A: x = 10, y = 1

Now, putting the value in the equation,

L.H.S.,

x + 7y

= 10 + 7*1

= 10 + 7

= 17

Therefore, L.H.S. = R.H.S.

The equation is correct.

Option B: x = -4, y = 3

Now, putting the value in the equation,

L.H.S.,

x + 7y

= -4 + 7*3

= -4 + 21

= 17

Therefore, L.H.S. = R.H.S.

The equation is also correct with this value.

As the option "A" and Option "B" shows the correct value, the answer is both A and B.

Answer:

C.) Both the answers are true

Step-by-step explanation:

Simply plug it in

(10, 1) = 10 + 7(1) = 17

10 + 7 = 17

17 = 17

So A.) is true, but let's check B.)

-4 + 7(3) = 17

-4 + 21 = 17

17 = 17

B.) is also true

Answer:

Step-by-step explanation:

5 quarters, 1 nickel  

Answer:

The required combination of coins will be 5 quarters and 1 nickel.

Step-by-step explanation:

The required combination should be such that the resultant will be 130% of 1 dollar or 1.3 dollar.

Now, the value of 1 quarter is $0.25 and the value of 1 nickel is 5 cent or $0.05.

So, the combination of 5 quarters and 1 nickel will be,

[tex]5\times \$0.25+1\times \$ 0.05=\$1.25+\$0.05\\=\$1.30[/tex]

The above value is equal to 130% of a dollar.

Therefore, the required combination of coins will be 5 quarters and 1 nickel.

For more details, refer the link:

https://brainly.com/question/19987826?referrer=searchResults

Answer:

The answer is B

Step-by-step explanation:

Edge 2022

Answer:

8.) Not a function

9.) Is a function

Step-by-step explanation:

In order for a set of coordinates to be a function, the y cannot be repeated.

In number 8, there is (3,1) and (9,1)

Not a function

In number 9, each coordinate is unique and doesn't repeat the y.

Is a function

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

[tex]AP=\frac{2}{3} AB[/tex]

and

[tex]AP_x=\frac{2}{3} AB_x[/tex]

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

[tex]AB_x=8-2=6\ units[/tex]

[tex]AP_x=\frac{2}{3} (6)=4\ units[/tex]

The x-coordinate of P is equal to

[tex]P_x=A_x+AP_x[/tex]

where

A_x represent the x-coordinate of A

substitute the values

[tex]P_x=2+4=6[/tex]

therefore

The x-coordinate of point P is 6

Answer:

3.75 or 3 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

just divide

The surface area to be covered with stucco is 25.91 square metres.

To find the surface area to be covered with stucco, we need to calculate the area of each wall and subtract the areas of the car door, side door, and window. The garage has four walls, so we will calculate the area of each wall and add them together. The area of each wall is the product of its length and height. Once we have the total area of the walls, we can subtract the areas of the car door, side door, and window to determine the final surface area to be covered with stucco.

Wall 1: 5 m * 2 m = 10 m²

Wall 2: 5 m * 2 m = 10 m²

Wall 3: 5 m * 2 m = 10 m²

Wall 4: 5 m * 2 m = 10 m²

Total area of walls: 10 m² + 10 m² + 10 m² + 10 m² = 40 m²

Area of car door: 5 m * 2.3 m = 11.5 m²

Area of side door: 2.1 m * 0.9 m = 1.89 m²

Area of window: 1 m * 0.7 m = 0.7 m²

Final surface area to be covered with stucco: 40 m² - 11.5 m² - 1.89 m² - 0.7 m² = <<25.91=25.91>>25.91 m² (rounded to the nearest square metre).

https://brainly.com/question/26883871

#SPJ2

Answer:

2 times

The drawing will help

Answer:

b<-35

Step-by-step explanation:

b/5-34<-41

b/5<-41+34

b/5<-7

b<-7*5

b<-35