a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

We know the slope formula.

Therefore, the slope is 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

7/8

Step-by-step explanation:

1 1/4 is the same as 5/4.

5/4 is also the same as 10/8.

The distance from 3/8 to 10/8 is 7/8.

Hope that helps

Answer:

1 1/4 - 3/8

5/4 - 38

10/8 - 3/8

7/8

Answer:

  15/61 ≈ 1/4

Step-by-step explanation:

The fraction is the area of Lake Huron divided by the total area.

  (6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61

This is approximately 15/60 = 1/4.

The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.

Answer:

Supplementary angle = 42⁰

Step-by-step explanation:

We know that

Sum of two supplementary angle = 180

Let,

Supplementary angle = x

=> 138 + x = 180

=> x = 180 - 138

=> x = 42⁰

If the measure of an angle is 138°, the measure of its supplementary angle is 42°

Supplementary angles are two angles that sum to 180 degrees. The sum of supplementary angles is equals to 180 degrees.

Therefore, if the angles are x and y , For them to be supplementary,

x + y = 180°

If the measure is 138 degrees, the measure of its supplementary angle can be calculated as follows:

let

its supplementary angle = x

138 + x = 180

x = 180 - 138

x = 42°

learn more on supplementary angles: https://brainly.com/question/25818150?referrer=searchResults

Answer:

whats do you mean by that whats the question ❓

Answer:

I Don't know

Step-by-step explanation:

I don't know I don't know I don't know

Answer:

i don't know but I think question 1 is 64

Answer:

The equation of the line is x=-1.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-9-3)/(-1-(-1))

m=-12/(-1+1)

m=-12/0

undefined.

Since the slope is undefined,

it follows that this is a vertical line with the equation x=-1.

The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.

The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.

The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.

Taking everything together, it follows that the n-th term in the sequence is

[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]

Answer:

55

Step-by-step explanation:

As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.

Answer:

B and D

Step-by-step explanation:

B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.

D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)

Answer:

1/4

Step-by-step explanation:

Since 0.25 is 1/4 of 1

Answer:

pentagon

Step-by-step explanation:

5 degree angle

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

Answer:

x = 4

Step-by-step explanation:

    The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.

    In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]

Answer:

Step-by-step explanation:

9x - 8 = 28 ( converse of isosceles triangle )

(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)

[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

Answer: 10230

Step-by-step explanation:

The amount in pound is 1230 pounds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

1 ton is equal to 2,000 pounds.

So, 5 tons  and 230 pounds

= 5 x 2000 + 230

= 1000 + 230

= 1230 pounds.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ6

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b

b= 7+9

b= 16

y= 3x+16

Step-by-step explanation:

while the other answer is correct, here also the way as the hint suggests :

y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9

y = 3x + 9 + 7 = 3x + 16

and there you have it : the same result just by using the point-slope form first.

Step-by-step explanation:

just take from me..your most best and smarties person ever...i don't know the answer

Answer:

the answer is defently 405

Step-by-step explanation:

so you have 400 and 5 and 400+5=405

Answer: x = 7, x = -1

Step-by-step explanation: Move the term to the left side

x^2 + 2x - 7 = 8x

x^2 + 2x - 7 - 8x = 0

Combine like terms

x^2 + 2x - 7 - 8x = 0

x^2 - 6x - 7 = 0

x^2 - 6x - 7 = 0

a = 1

b = -6

c = -7

x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1

Evaulate the Exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Multiply the numbers x = 6 ± 8/2

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = 6 + 8/2

x = 6 - 8/2

Rearrange and isolate the variable to find each solution

x = 7

x = -1

Answer:

373

Step-by-step explanation:

113+377=490

490-117=373

answer:

=117+373

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

yes.

25 percent discount means that the price of one watch is 45 dollars.

45 plus 45 is less than 100.

Answer:

The answer is yes.

Step-by-step explanation:

25% = divide by 4

25% of 60$ = 60$ divided by 4 = 25$

So then we need to do 60$ - 25$ which equals to 45$.

45$ + 45$ = $90.

Hope that helps. x

Answer:

put the examples on the test or assignment so i can answer it

Answer:

the answer to this question is $32.96

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation: