Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?

Answer:

7.82

Step-by-step explanation:

Given :

The admission tickets to an exhibition at $5 for an adult and $2 for a child.

A family of 3 adults and 4 children visited the exhibition.

To Find :

What would be the charge if $50 note was used to buy the tickets.

Solution :

Charge of 3 adult ticket is, A = $( 5 × 3 ) = $15 .

Charge of 4 children ticket is, C = $( 4 × 2 ) = $8 .

Total amount to pay is :

T = $( 15 + 8 )

T = $23

Therefore, they get $( 50 - 23 ) = $27 change.

Answer

Given: Sorry the images are at the bottom.

To find:

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

Here,

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

Answer:

Olivia is 9 years old.

Step-by-step explanation:

1/3 of o (Olivia's age) increased by 12, is twice of o minus 3. The equation for this would be 1/3o + 12 = 2o - 3. (The left side could be o/3 as well.)

1/3o + 12 = 2o - 3

Subtract 2o from both sides

-5/3o + 12 = -3

Subtract 12 from both sides

-5/3o = -3 - 12

Subtract 12 from -3 to get -15

-5/3o = -15

Multiply both sides by -3/5, the reciprocal of -5/3

o = -15 (-3/5)

Express -15(-3/5) as a single fraction

o = -15 (-3)/5

Multiply -15 by -3 to get 45

o = 45/5

Divide 45 by 5 to get 9.

o = 9

To make sure this works, substitute 9 for o.

1/3(9) + 12 = 2(9) - 3

3 + 12 = 18 - 3

15 = 15

Both sides match each other, so o equals 9.

Olivia is 9 years old

Twice her age decreased by 3 is expressed as 2x - 3

Equate both expressions and find x

1/3x + 12 = 2x - 3

1/3x - 2x = -3-12

(x-6x)/3 = -15

-5x = -45

x = 9

Hence Olivia is 9 years old

Learn more on equations here; https://brainly.com/question/2972832

Answer:

B

Step-by-step explanation:

8/5=1.6

Answer:

b

Step-by-step explanation:

8/5=1.6

Answer:

only one solution

Step-by-step explanation:

Complete question:

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =

Given the expression

2x − y = 2 .... 1

3x + y = −6  ..... 2

We are to determine the number of solution the equation has:

Add equation 1 and 2

2x + 3x = 2 - 6

5x = -4

x = -4/5

Substitute x = -4/5 into 1

From 1: 2x − y = 2 .... 1

2(-4/5) - y = 2

-8/5 - y = -2

-y = -2+8/5

-y = -10+8/5

-y = -2/5

y = 2/5

Since the value of x and y are just 1 hence the system of equations has ine solution

Answer:

y=x+2

Step-by-step explanation:

we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Answer:

A

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

Step-by-step explanation:

tan²θ - sin²θ

= sin²θ/cos²θ - sin²θ

= sin²θ * (1/cos²θ - 1)

= sin²θ * (csc²θ - 1)

= sin²θ * tan²θ. (shown)

Answer:

8 (4+3)

Step-by-step explanation:

32 + 24 as a product of two factors using the GCF is 8(4 + 3).

The greatest common factor (GCF) of two number is the largest number which can divide both the numbers completely.

Given,

The expression is 32 + 24 .

The greatest common factor of 24 and 32 can be found using the following method.

Common factors of 24 and 32 are:

2, 4, and 8

Out of all the common factors 8 is the largest number.

Therefore  greatest common factor of 24 and 32 is equal to 8.

Taking the GCF out we get:

                                       8(3 + 4)

Hence, 32 + 24 as a product of two factors using the GCF is 8(4 + 3).

To learn more about GCF visit:

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#SPJ1

Answer:

its a heartbeat.

Step-by-step explanation:

sorry for late answer, just answering for any future people.

Answer:

hello there mate

Step-by-step explanation:

Answer:

x≤−4

Step-by-step explanation:

if you want me to explain how I got the answer reply yes

You gave $30.

[$30 * 0.20] (tip % amount) = $6.

You left $6 in tips.

Answer:

36

Step-by-step explanation:

keep, flip, change...

24 ÷ [tex]\frac{2}{3}[/tex] would be the same as [tex]\frac{24}{1}[/tex] × [tex]\frac{3}{2}[/tex] which is equal to [tex]\frac{72}{2}[/tex] (36 if you simplify it)

The number of dose of 2/3oz of liquid medication does the bottle contain is 36.

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

A bottle contains 24oz of liquid medication and the average dose is 2/3oz.

Let suppose the number of dose does the bottle contain is n. There is total 24oz of liquid medication in the bottol.

As the average dose is 2/3oz. Thus the number of dose in the bottle which has 24oz of liquid medication is,

[tex]n=24\div\dfrac{2}{3}\\n=24\times\dfrac{3}{2}\\n=36[/tex]

Thus, the number of dose of 2/3oz of liquid medication does the bottle contain is 36.

Learn more about the fraction number here:

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Angle B is the linear pairs with 60°, so the size is 180-60=120°

Angle ABC is the linear pair with 120°, so the size is 180-120-60°

Angle A corresponds to angle 60°, so they are equal

Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°

Angle ACB is 180-(50+60) = 70°

Answer: ABC is 60

BAC is 50

ACB is 70

Step-by-step explanation: welcome

Answer:

answer A looks good

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

Answer:

See below

Step-by-step explanation:

Start time = 9 A.M.

Equation:

Equation:

Note. There is no graph but see the attached. It should be similar graph for this case

The will meet after 3 hours at 130 miles mark

Solving the system of equations we get:

And y is:

(3, 130) is the intersection of lines

Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.

Answer:

( x^2 - 6 )^2

Step-by-step explanation:

*solution* ( x^2 - 6 )^2

Answer:

[tex]r^2=\dfrac{A}{4\pi}[/tex]

Step-by-step explanation:

The given equation is A=4 πr².

We need to solve the above equation for r².

We have,

A=4πr²

Dividing both sides by 4π, we get :

[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]

Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].

Answer:

With river 12 miles per hour

Against river 9 miles per hour

wv = water velocity  vsw = boat velocity in still water

vsw +wv =  12 mph

vsw -wv = 9 mph

2 * vsw = 21 mph

boat velocity in still water = 10.5

Since vsw + wv = 12 then

water velocity = 1.5 mph

Step-by-step explanation:

Answer:

speed in still water: 10.5 Current: 1.5

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

just took the test

Step-by-step explanation:

Peter Piper picked a pack of pickled peppers. If Peter Piper picked a pack of pickled peppers, How many packs of pickled peppers did Peter Piper pick?

Answer:

1. 3 dimes

2. 1 quarter and a nickel

3. 30 pennies

Step-by-step explanation:

i hope this is it and i hope this helped <3

Answer:

3 nickels, 1 quarter and 5 pennies, and 30 pennies

Step-by-step explanation:

30% of a dollar is 30 cents. those all equal 30 cents

Answer:

-1 1/2

Step-by-step explanation:

Answer:

if u divide it then slop  it u will get your answer

Step-by-step explanation:

Answer:

What BOXES?

Step-by-step explanation:

Question:

You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?

Answer:

[tex]Probability = 0.262144[/tex]

Step-by-step explanation:

Represent the probability of winning with P(Win)

[tex]P(Win) = 20\%[/tex]

Required

Determine the probability of not winning 6 games

First, we calculate the probability of not winning a game.

Opposite probability add up to 1.

So, we have:

[tex]P(Win) + P(Lose) = 1[/tex]

[tex]P(Lose) = 1 - P(Win)[/tex]

[tex]P(Lose) = 1 - 20\%[/tex]

[tex]P(Lose) = 100\% - 20\%[/tex]

[tex]P(Lose) = 80\%[/tex]

The sample space of losing 6 games is:

Lose Lose Lose Lose Lose Lose

Therefore, the probability is:

[tex]Probability = 80\% *80\% *80\% *80\% *80\% *80\%[/tex]

[tex]Probability = 0.80*0.80*0.80*0.80*0.80*0.80[/tex]

[tex]Probability = 0.262144[/tex]

Answer:

4(10)-5=35

Step-by-step explanation:

4(10)=40-5=35

4(10) is the same as 4x10

So think about it like 4x10-5

I hope this helps ;}