You are taking hang-gliding lessons. The cost of the first lesson is one and a half times the cost of each additional lesson. You spend $260 for six lessons.

Answers

Answer 1
So, givens: total lesson cost of $260, total lessons taken are 6, and the first lesson costs 1.5 (or 3/2) as much as the additional lessons.

First thing to do is to figure out how many additional lessons are in that, which are 5.

Then you can make a 1 variable equation with the information you have. I’m using x as my variable.

260= 3/2x + 5x

Combine like terms.

260 = 13/2x

Divide both sides by 13/2 (treat it as a fraction, and if your calculator cannot make fractions, then decimal might help for this. 13/2=6.5)

X=40

Related Questions

the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number

Answers

Answer:

The larger number is 4

Step-by-step explanation:

4 is the larger number and two is the smaller number..

Answer:

x=19y=38

Step-by-step explanation:

Let x be the smaller number

Let y be the larger number

The larger of 2 numbers is twice the smaller number :

[tex]y = 2x[/tex]

if 12 is subtracted from the larger number the result is 7 more than the smaller number :

[tex]y-12 = 7+x[/tex]

To solve for x  ;

Substitute 2x for y in the second equation

[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]

To solve for y

[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]

Please someone help I’m stuck with this question please help show work too

Answers

Answer:

I think it is C but it could also be A

Step-by-step explanation:

So here is my explanation. The perfect answer would be {all real numbers p<=345} however because that isn't stated let me explain the answers. A states that there could be 0-345 students however it also states that there could be a fraction of a student (its some wierd thing my Algebra teacher taught me). B states that f(p) is between that but that doesn't make sense. C states all positive intergers less than 345 which means a positive whole number. That means that it is all whole students less than 345 which makes sense however I am iffy cause I think it means there cannot be 345. D states all greater than 0 which exceeds the 345 limit.

A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.

Answers

Answer:

Total number of sweets in the bag is 28

Step-by-step explanation:

let the total number of sweets in the bag be x :

[tex]{ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x[/tex]

therefore fraction of mints = 1 - fraction of toffees :

[tex] = \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4} [/tex]

therefore:

[tex] = > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28[/tex]

total sweets number is 28

Can someone help me it is algebra 2

Write the interval {x|—3 < x < 5}
as an inequality and using interval
notation.

Answers

I can't understand this question write it properly please ok plz

Find the equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 7; containing the point (7,-1). What is the equation of the line?
y =

Answers

y- y1= a(x-x1)
y - (-1) = 7(x-7)
y+1 =7x -49
y = 7x -49-1
y = 7x -50

Answer:

y = 7x - 50

Step-by-step explanation:

the standard form for a line equation is

y = ax + b

a is the slope.

b is the intercept with the y-axis (x=0).

we know, a = 7

so,

y = 7x + b

to get b we use the point (x = 7, y = -1)

-1 = 7×7 + b = 49 + b

b = -50

=>

y = 7x - 50

Find the reciprocal of 1 1/6​

Answers

Answer:

So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.

Step-by-step explanation:

1. 2x < 10, x = -3
x+7 % -5, x = 5
2.
6
state whether the given number makes the inequality true or false

Answers

Answer:

both questions is false

Help plz

Find (f - g) (x)
f(x) = 2x^2 – 2 and g(x) = 4x + 1
6x2

Answers

Answer:

(f - g) (x) = 2x^2 - 4x - 3

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

(f - g) (x) = 2x^2 - 2 - (4x + 1)

(f - g) (x) = 2x^2 - 2 - 4x - 1

(f - g) (x) = 2x^2 - 4x - 3

The GCF of two numbers is 3.

Their LCM of the two numbers is less than 20.

Which could not be the two numbers?

Answers

Answer:

Step-by-step explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60

[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]

how many acts are in the play romea and juliet. is this a statistcal quetion

Answers

The play is split into 5 acts.

Solve the equation x2 = 5.
o
x = 5
o
x = 25
o x= V5
o x= V5

Answers

Answer:

x^2 = 5

x = ±√5

Answer:

x = ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

x² = 5 ( take the square root of both sides )

x = ± [tex]\sqrt{5}[/tex] , that is

x = [tex]\sqrt{5}[/tex] or x = - [tex]\sqrt{5}[/tex]

i need help ;^; please im no big brain​

Answers

Answer:

[tex]18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}[/tex]

Step-by-step explanation:

27= 3 * 3 * 3

75 = 3 * 5*5

18 sqr 3 + 55 sqr 3 = 73 sqr 3


help me senpai...ahhhhh...plz.... someone​

Answers

Answer:

The answer is 3/3 or 1

Step-by-step explanation:

I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1

           When [tex]1^{-1}[/tex] = 1

         [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]

         = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]

         = [tex]\frac{3}{3}[/tex]

         = 1

Hope that help :D

(-57) x (-19) + 57
Can you explain this answer as Distributive Property? ☺️​

Answers

Answer:

[tex]1140[/tex]

Step-by-step explanation:

[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]

Hope it is helpful....

Answer:

1140

Step-by-step explanation:

1. you first need to distribute -57 to -19 as they are being multiplied

(-57) · (-19) + 57

(1083) + 57

2. now you remove the parenthesis and add the liked terms

1083 + 57 = 1140

hope this helps! if you have any questions, let me know!

Hi! Please see the photo, I could really use some help!

Answers

x- intercepts is when x equals 0 and y- intercepts is when y equals 0. So, if the x is the time and the y is the height, the coordinates for the x- intercept is (0,3), and the y- intercept (7,0)
X intercept = 0,3 and y intercept =7,0

1-16 Please helppppp

Answers

Ok fort first second third four ten nine and eight

Christian emptied 56 and 24 candies into 4 equal groups. How many candies were in each group

Answers

Answer: 20

Step-by-step explanation: 20x4=80. 56+24=80

add the amount of candies from both jars 56+24=80

he separated them into 4 equal groups so 80/4=20

20 in each group

PLEASE HELP!!!!!

Need hELP ASAP

Answers

Answer:

bro please help me make me brianliest I think c

Let w 1-5 and z=2+ 4i, Find z+w

Answers

Step-by-step explanation:

w+z=1-5+2+4¡

w+z=-2+4¡

and if you mean w= 1-5¡ , z= 2+4¡

z+w= 1-5¡+2+4¡

z+w= 3-¡

A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls

Answers

Answer:

6/11

Step-by-step explanation:

The ratio says that, for every 6 girls, there are 5 boys.

For every 6 girls, there are 6 + 5 = 11 students.

So the fraction of  girls is

6/11

Translate to an algebraic expression.
29 more than n

Answers

Answer: n+29
20 letters…

Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)

Answers

First distribute and then combine like terms, answer: -1.42x+2.8

The simplified expression is -1.42x + 2.8.

How to Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)

Sure, let's simplify the expression step by step:

1. Distribute the coefficients to the terms inside the parentheses:

0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x

2. Simplify each term:

0.98x + 1.2 + 1.6 - 2.4x

3. Combine like terms:

(0.98x - 2.4x) + (1.2 + 1.6)

-1.42x + 2.8

So, the simplified expression is -1.42x + 2.8.

Learn more about expression at https://brainly.com/question/723406

#SPJ3

How do you put these numbers in order: 2.25, 2.6, 3, and 2.5?

ANY APPROPRIATE ANSWER HELPS! :)

Answers

Answer:

From Least to Greatest: 2.25, 2.5, 2.6, 3

From Greatest to Least: 3, 2.6, 2.5, 2.25

Step-by-step explanation:

Do Not Pay Any Less, Mrs. Mess Puzzle

Mrs Mess was buying a set of garden furniture.

The bill was seventy dollars.

She gave the attendant what she thought were

two $50 bills, (actually two $100 bills).

The attendant was sleepy and didn't notice either,

so he gave Mrs. Mess what he thought were

three $10 bills (actually three $50 bills).

Who ended up better off than they should?

Answers

Answer:

Step-by-step explanation:

She owes                                   70

She pays                     200

She gets                                   150

So the story is            200       220

She pays 200 and gets 220 including the furniture.

She 20 dollars to the good.

Can you please show all your work plus the equation

Answers

I need a pic or a document

(3/5) + (-6/7)+(-2/5)+(3/14) find​

Answers

Answer:

Step-by-step explanation:

Rearrange the givens

3/5 - 2/5 - 6/7 + 3/14

1/5 - 12/14 + 3/14

1/5 -  9/14

The lowest common multiple is 70

14/70 - 45/70 = - 31/70

Make the number 16 using six "1"s. Example: Make the number 18 using six "1"s. A: (11-1-1)(1+1)= 18

Answers

(1+1)(1+1)^(1+1)=16
4^2=16

a square + 7 a + 12 =A + 4 ​

Answers

Step-by-step explanation:

[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]

Answer:

a = -4 or a = -2

Step-by-step explanation:

a² + 7a + 12 = a + 4

=> a² + 7a - a + 12 - 4 = 0

=> a² + 6a + 8 = 0

=> a² + 2a + 4a + 8 = 0

=> a(a + 2) + 4(a + 2) = 0

=> (a + 4)(a + 2) = 0

=> a = -4 or a = -2

27(1-x)(x^2+x+1)+81x(x-1)

Answers

Step-by-step explanation:

hope this may help you. have a nice day.

At the red box, you can rent DVDs for $1.75 each per day, or you can get unlimited rentals for a monthly fee of $30. At most, how many DVDs could you rent at $1.75 before spending more than the cost of a month's unlimited rentals?

Answers

17 would be the answer, you divide 30 by 1.75 and you get 17.14 but you can’t buy .14th of a book so you’re left with 17
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