4. Which of the following describes a proportional relationship?
F. Drew paid $2.86 per pound of apples plus $0.10 for a grocery bag.
G. Heather rented a hotel for $110 a night plus $18 a night for valet parking.
H. Carlos bought tires for $250 each with a discount of $50 off his total purchase.
J. Manuel bought three pairs of shoes for $99 each plus a shipping fee of $6.

Answers

Answer 1

Answer:

G. Heather rented a hotel for $110 a night plus $18 a night for valet parking

Step-by-step explanation:

A proportional relationship is one that has a constant ratio between two variables

y/x = Constant

From the given options, the one with a proportional relationship is option G.

The amount at which Heather rented a hotel = $110

The amount he pays for valet parking = $18

The total amount Heather pays a night = $110 + $18 = $128

The amount she pays for 2 nights = 2 × $128 = $256

Therefore, we have;

[tex]\begin{array}{cc}x&y\\1&128\\2&256\\3&384\end{array}[/tex]

From which we get;

y/x = 128/1 = 256/2 = 128 = Constant.


Related Questions

can someone please help me and write out the answer​

Answers

Answer:

sin 60 = √3/2

means perpendicular (p)= √3

and

base (h)=2

find base(b)

using pythagoras theorem

h²=p²+b²

than base (b) will be 1

now

cos 60 =b/h

=1/2

Answer:

cos 60° = 1/2

SohCahToa

Sin = opposite/hypotenuseCos = adjacent/hypotenuseTan = opposite/adjacent

sin 60° = opposite / hypotenuse

sin 60° = √3 / 2

The bottom side = √3, the hypotenuse = 2

To find the right side's value, you use Pythagorean's Theorem

a² + b² = c²a² + (√3)² = 2²a² + 3 = 4a² = 4 - 3a² = 1a = 1

cos 60° = adjacent/hypotenuse

cos 60° = 1 / 2

What is the perimeter of quadrilateral of MNPQ?

Answers

Answer:

The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.

Step-by-step explanation:

Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm. 2. The perimeter of the quadrilateral is 50 cm and the lengths of three sides are 9 cm, 13 cm and 17 cm

Has anyone done IXL N.2 7th grade, can you help me!!!

Answers

Okay... let’s see if I remember this! So... first off, convert the whole number into a fraction. To do this, we would need to multiply the number (20) by 2, since the denominator is 2, and then add it to the 1/2 we already have.

= 41/2 × 3/4

Then, put the fractions formula for multiplication into play... (numerators on top, denominators on bottom)

41 × 3
= ————
2 × 4

This would equal 123/8.

Now, we aren’t done yet. To get our final answer, we would to simplify 123/8 to the point where it can’t be any more simple. (For example, if we had 2/2, we would have to simplify that because 2/2 = 1. We wouldn’t be able to simplify the 1 any more than that, making 1 the final answer.) I’ll just do the math for you here. 123/8 simplified completely is 15 3/8.

( 123/8 = 15 3/8.)

I kind of went into detail just in case you were having trouble with these kinds of problems, which I hope isn’t too much of a problem!! Have a good day and I hope this helps :)

PLEASE HELP

x = ___ units

Answers

Answer:

x = 16 units

Step-by-step explanation:

∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

Side opposite of 90° [∆BCD] = BC = 32.

Since x is opposite of 30° [∆BCD].

x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.

Consider the two triangles shown below Are these triangles congruent

Answers

Answer:

FALSE

Step-by-step explanation:

SINCE CONGRUENT TRIANGLES ARE SAS OR SSS OR ASA SO TESE TRIANGLES ARE ISOCLES TRIANGLES DUE TO THE MEASUREMENTS

False they look like they are different sizes

Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) )
area: 221.5584 square units

area: 78.5 square units

area: 452.16 square units

area: 36.2984 square units

area: 314 square units

area: 886.2336 square units

radius: 12 units

diameter: 16.8 units

radius: 3.4 units

diameter: 10 units

Please use the exact numbers. >w

Answers

Answer:

Radius: 12 units

Area: πr² = 3.14*12² = 452.16 square units

Diameter: 16.8 units

Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square units

Radius: 3.4 units

Area: πr² = 3.14*3.4² = 452.16 square units  

Diameter: 10 units

Area: πd²/4 = 3.14*10²/4 = 78.5 square units

Answer:

Radius 12-->452.16

Diameter 16.8-->221.5584

Radius 3.4-->36.2984

Diameter 10-->78.5

Step-by-step explanation:

After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.

Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.


12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.


What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches

Answers

Answer:

The answer is A, 1/729

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Ethan Purchased A new cell phone for $75.00. The cost of the phone is included in his first months bill. His cell phone plan charges $0.06 for each minute used. If Ethan has $90.00 to spend on his first month bill, what is the maximum Number of minutes he can use?

Answers

Answer:

he had $90

he bought a phone for $75

90-75=15

he has $15 now

15÷0.06=1500÷6=250 minutes

A teacher listed 28,30,32 and 36 as ages of the students in his class with frequencies 8,10,5 and 7 Respect Respectively....... A:how many students were in the class ? B: what was the average age of the class? C: what was the range for the students? D:what was the modal age?​

Answers

gawd daym that's a lot of students  

Answer:

A: There are 30 students in the class.

B: The average age of the class is 31.5.

C: The range goes from age 28 to age 36.

D: The modal age is 30.

Step-by-step explanation:

A: 8+10+5+7 = 30.

B: 8 + 30 + 32 + 36 = 126

    126/4 = 31.5

C: Lowest age is 28 and highest is 36, making that the range for students' ages.

D: The most frequently appearing age in the study is 30, which makes 30 the modal age.

PLEASE HELP ME FIGURE OUT WHICH ONE I GOT WRONG, TYSMM :)

Answers

Answer:

da one in the middle and i do relize this is a test becuse i just took it.

Step-by-step explanation:

helppppppppppppppppppp pls

Answers

Answer:

1820

Step-by-step explanation:

Surface area= 2[tex]\pi[/tex][tex]r^{2}[/tex] + 2

2[tex]\pi[/tex] [tex](10)^{2}[/tex] + 2

628 + 1193.2

= 1821.2  

A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The equation h(t)=

4.9t2+9t+11 models the height of the bowling pin in meters after t seconds.
About how many seconds does it take for the bowling pin to hit the ground?
Round your answer to the nearest tenth of a second.

Answers

Answer:

2.7

Step-by-step explanation:

yes i'm correct

A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The time taken by the object to hit the ground is 2.7 seconds.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

It is given that,

Initial velocity of an object, u = 9 m/s

Height, h = 11 m

The equation that models the height of the object in meters after t seconds is :

[tex]h(t)= -4.9t^2+9t+11[/tex]

We have to find the time it take for the bowling pin to hit the ground

i.e.   [tex]-4.9t^2+9t+11=0[/tex]

On solving the above quadratic equation, we get the value of time t is :

t = 2.7 seconds

Hence, The time it takes to hit the ground would be 2.7 seconds.

Learn more about quadratic equations here:

https://brainly.com/question/3358603

#SPJ2

8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.

Answers

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, -3)

Point (2, 1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(2--1)^2+(1--3)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(3)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{9+16}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 5[/tex]

URGENT HELP-
Convert an area of 6m^2 into CM^2

Answers

Answer:

Step-by-step explanation:

In cm 2= 60000

************ This is to help others on their project
Part 1: Determine the limits of a function given a graph.
Determine the limits and outputs of the plotted function.

Answers

Answer:

This is correct. Thank you!!

Step-by-step explanation:

Answer:

she is right and I added few pages that are hard to read here

Step-by-step explanation:

bye good luck :)

The drawing shows a stack of alternating cups. The cups are 9.2 cm high. How many cups will fit in a door that is 211.77 cm high?

Answers

Answer:

The total number of whole cups that we can fit in the dispenser is 25

Step-by-step explanation:

It is given that the height of each cup is 20 cm.

But when we stack them one on top of the other, they only add a height of 0.8 to the stack.  

The stack of cups has to be put in a dispenser of height 30 cm.

So we need o find out how many cups can fit in the dispenser.

Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser

So,

30 - 20 = 10 cm

To stack the other cups we have 10 cm of height remaining

As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.

10 + 0.8x = 30

0.8x = 20

x = 25

The total number of cups that we can fit in dispenser is 25

π/3 radians to degrees.

Answers

The answer would be 60 degrees
Yes it is 60 degrees

Amal designed a silver necklace pendant in the shape of a cone. The slant height of the cone is 5 millimeters, and the radius of the cone is 3 millimeters.

What is the volume of the silver pendant, rounded to the nearest tenth?

Use 3.14 for π.

Answers

Answer:

37.7 mm³

Step-by-step explanation:

Step 1

We find the height of the cone

we are given slant height = 5mm and radius = 3mm

Height = √l² - r²

Where l = Slant height

Hence

h = √5² - 3²

h = √25 - 9

h = √16

h = 4

Hence, the height of the cone = 4mm

Step 2

We can proceed to calculate the volume of the cone

Volume = 1/3 πr²h

π = 3.14

Hence,

Volume = 1/3 × 3.14 × 3² × 4

= 37.68 mm³

Approximately, Volume of the cone to the nearest tenth = 37.7 mm³

Answer:37.7

mm3

Step-by-step explanation:

Can someone help please?????

Answers

The answer is 13 you have to add the top and bottom

Given the following quadratic equations. Name the form
and list all the information you can get from each form.

Answers

This is in factored form. You can immediately see that the roots of the quadratic (the values of x for which y=0) are 4 and -2.This is in standard form. You can see that the y-intercept (the value of y when x=0) is -8.This is in vertex form. This tells you that the vertex of the quadratic is (1,-9).

Simplify sec^2x-tan x-3

Answers

Sec^2x-tan x-3 = RED IS SUS

[tex]\huge\longmapsto\mathfrak{Answer}[/tex]

=》

[tex] \sec {}^{2} (x) - tan(x) - 3[/tex]

=》

[tex] \tan {}^{2} (x) + 1 - \tan(x) - 3[/tex]

=》

[tex] \tan {}^{2} (x) - \tan(x) - 2[/tex]

=》

[tex] \tan {}^{2} (x) - 2\tan(x) + \tan(x) - 2[/tex]

=》

[tex] \tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2) [/tex]

=》

[tex]( \tan(x) + 1)( \tan(x) - 2)[/tex]

so,

case - 1

=》

[tex] \tan(x) = - 1[/tex]

case - 2

[tex] \tan(x) = 2[/tex]

For trans thanks for helping me your the best

Answers

Answer:

x = 58.5 m

Step-by-step explanation:

Let us use sine law to find the length of the yellow cable. Note that a cable of length 64 m is directly opposite the 112° angle and the 58° angle is directly opposite the unknown cable length. We can the set up our sine law as follows:

[tex] \frac{x}{ \sin(58) } = \frac{64 \: m}{ \sin(112) } [/tex]

Solving for x,

[tex]x = \frac{ \sin(58) }{ \sin(112) } \times (64 \: m) = 58.5 \: m[/tex]

HELP!
Find the area of triangleABC to the nearest tenth.

Answers

Answer:

62.3 units²

Step-by-step explanation:

We would apply the formula for area of a triangle given an included angle, which is A = ½*ab*sin C

Where,

a = 11

b = 14

C = 54°

Substitute

Area = ½*11*14*sin 54

Area = 62.2943085 ≈ 62.3 units² (nearest tenth)

evaluate 9 m+7 n if m=-7 and n=4

Answers

Answer:

the answer is -35

Step-by-step explanation:

9x-7 =-63, 7x4=28. -63+28=-35

What is the slope of the line?
y+2 = -2(2-3)
Choose 1 answer:
А
w
1
2
B
1
1
с
- 2
D
-1

Answers

The answer would be C. -2

Help! Will mark brainiest sorry its pretty blurry

Answers

Answer:

As temp. increases, sales increse

Step-by-step explanation:

How do you solve 3.16 divided by 0.04?
Sorry i couldn't use the divison sign because i'm using a computer.

Answers

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

If you flip a coin 4 times what is the probability that you will get a heads, tails, heads, tails in that order?

Answers

Answer:

I mean its a 50% chance.

Step-by-step explanation:

Because you don't know if its heads or tails. But if its in that order then I think its tails.

Select all that apply.

Which of the following are equivalent?

4%
40%

0.4

Answers

Answer:

0.4 is equivalent to 40%

Step-by-step explanation:

If you read it out loud, 0.4 is pronouced as "4 tenths"0.40--> 40?

the ones that are equivalent are 40% and 0.4, since 40% converted into a decimal is 0.4. 4% isn't equivalent to any of the options because it would be 0.04 as a decimal.

James had a rectangular box of popcorn. The height of the box was 6 inches and the base had an area of 9 square inches. When some of the popcorn was eaten, James noticed the popcorn was only 1/2 the height of the box. What is the volume of the popcorn when the box is 1/2 full?

Answers

Answer:

it has 3/4

Step-by-step explanation:

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