Which of the following situations represents a multiplicative relationship with a unit rate of 0.5?
On her diet, Mrs. Jackson lost 5 pounds every month.
Mila eats 12 cup of yogurt every day.
Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.
Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.

Answers

Answer 1

Answer:

Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home

Step-by-step explanation:

The relationship between two quantities could be additive (In this case, one quantity is a result of adding a value to the other quantity) or multiplicative (In this case, one quantity is the result of multiplying the other quantity by a value).

Multiplicative Relationship is a relationship that shows two quantities expressed as multiples of each other.

It can be written as: y = nx

where y and x are multiples of each other

n is equivalent to the ratio of y to x

Let's consider the options we have:

a) On her diet, Mrs. Jackson lost 5 pounds every month.

y = x -a (a= constant)

y = x-5

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

b) Mila eats 12 cup of yogurt every day.

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

c) Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.

y = nx

n = 0.5

y is the result of multiplication of 0.5 by x

y = 0.5x

d) Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.

y = x+a (a = constant)

y = x +1

There is no multiplicative relationship of a unit rate of 0.5 in the statement.


Related Questions

Which graph best shows the solution to the following equation?

Answers

Answer:

c

Step-by-step explanation:

Mia is standing 210 yd from a radio tower. The angle of elevation from where she is standing on the ground to the top of the tower is 11°. How tall is the radio tower? Round the final answer to the nearest tenth. Enter your answer in the box.

Answers

Answer:

40.8

Step-by-step explanation:

Just took the test

Answer:

40.8 yd

Step-by-step explanation:

just took the test too! :D

have a miraculous day!! <3

two similar solids a and b are shown solid a has a volume of 60cm3

Answers

Answer:

A) 480cm^3

B) 35 cm^2

Step-by-step explanation:

Given two similar solids

Volume of A = 60cm^3

Surface area of B = 140cm^2

Side A = 3

Side B = 6

NB: if two solids are similar, the ratio of their volume equals the cube of the corresponding proportion of their linear measure.

That is :

Volume A / volume B = (side A / side B)^3

(60 / volume B) = (3 / 6)^3

(60 / volume B) = (1/2)^3

(60 / volume B) = (1/8)

Volume B = 480cm^3

B) the surface area:

NB: if two solids are similar, the ratio of their surface areas equals the square of the corresponding proportion of their linear measure.

Surface area A / surface area B = (side A / side B)^3

(surface area A / 140) = (3 / 6)^2

(surface area A / 140) = (1/2)^2

(surface area A / 140) = 1/4

4 × surface area A = 140

Surface area A = 140/4

Surface area of A = 35cm^2

Answer:

A=480

B=35

Step-by-step explanation:

Nikhi gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he
sold. The expression that can be used to represent, the price of the shoes, is 0 05=1 What was the price of the shoes?
A=$5.00
B=$10.00
C=$20.00
D=25.00
Plz Help Me​

Answers

B.20

Explanation
I did it on scratch paper and that’s what I got

Find the coordinates of M' after a reflection of the triangle across the parallel lines; first across the line y = -3 and then across y = 2. Answer in (a, b) form. Part 9a​

Answers

Answer:  (-3, 5)

===============================================================

Explanation:

The first step is to locate point M. It is at (-3, -5). Ignore the other points as your teacher is not asking to transform them.

Reflecting point M over the line y = -3 will have us move 2 units up to arrive at the line of reflection, and then we move 2 more additional units up to get to N = (-3, -1).

Now reflecting point N over the line y = 2 will have us move (-3,-1) three units up to get to the line of reflection, and then we move up another 3 units to get to P = (-3,2) which is the last stop. This is also the location of point M'.

See diagram below.

--------

Extra info: Overall, those two reflections combine to a translation of shifting 10 units up. Algebraically, we can write the translation rule [tex](x,y) \to (x,y+10)[/tex]. Two reflections only turn into a translation if and only if the lines of reflection are parallel.

What the answer is for that question

Answers

Answer:

Step-by-step explanation:

Multiplication property

if x=y

then  x*z=y*z

2. Um avião levanta voo de um solo segundo ângulo igual a 30º. Com uma velocidade de 100m/s em 1 minuto a altura máxima atingida pelo avião foi igual a:

Answers

Answer:

height = 3000m

Step-by-step explanation:

In order to calculate the height reached by the airplane, you first calculate the distance traveled by the airplane in one minute. The distance is given by:

[tex]d=vt[/tex]    (1)

v: speed of the airplane = 100m/s

t: time = 1 min = 60 s

you replace in the equation (1):

[tex]d=(100m/s)(60s)=6000m[/tex]

The distance traveled by the airplane while it is going up, can be considered as a hypotenuse of a rectangle triangle.

The angle at which the airplane started to fly was 30°. Then, you can use the following trigonometric relation to calculate the height:

[tex]sin(30\°)=\frac{height}{d}\\\\height=dsin(30\°)=(6000m)sin(30\°)=3000m[/tex]

hence, the height reached by the ariplane is 3000m

Solve the equation 2(3x + 7) = -22.
O A.
x = 6
B.
x = -6
OC.
x=2
OD.
X = -2

Answers

Answer:

x=−6

Step-by-step explanation:

Answer:

C. x = -6

Step-by-step explanation:

[tex]2(3x + 7) = -22.\\Step -1: Multiply-through-by-two\\6x + 14= -22\\Collect -like-terms.\\6x= -22-14\\6x =-36\\Divide-both-sides-of-the-equation-by 6\\ = x= -6[/tex]

What is this I need the answer

Answers

Answer is  0

===========================================================

Explanation:

Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.

If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.

------------

Or put another way,

8^x = 1

8^x = 8^0 ... replace the 1 with 8^0

x = 0 ... the bases are equal (to 8) so the exponents must be equal

------------

You can use the change of base formula to directly calculate this log

[tex]\log_8(1) = \frac{\log(1)}{\log(8)} = \frac{0}{0.903} = 0[/tex]

Can anyone ples help meh

Answers

Answer:

Step-by-step explanation:

What do u need help with? I might be able to help you out :)

What does the range of data tell you

Answers

Answer:

The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.

Step-by-step explanation:

Please help me solve this question

Answers

Answer:

1.96

Step-by-step explanation:

a^2 + b^2 = c^2

4.6^2 + b^2 = 5^2

21.16 + b^2 = 25

b^2 = 3.84

b = 1.959591

Prove that the difference between squares of consecutive even numbers is always a multiple of 4. Note: Let n stand for any integer in your working. Total marks: 4

Answers

Answer:

see explanation

Step-by-step explanation:

consecutive even numbers have a difference of 2

let the consecutive even numbers be n and n + 2, thus

(n + 2)² - n² ← expand (n + 2)² using FOIL

= n² + 4n + 4 - n² ← collect like terms

= 4n + 4

= 4(n + 1) ← which results in a multiple of 4

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a+b=15.7 can be used to find the side lengths. If one of the longer sides is 6.3 centimeters, what is the length of the base?(in cm)

Answers

Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

Therefore, the length of the base is 3.1 cm.

I hope that this helps!

Answer:

3.1 cm    

Step-by-step explanation:

i did it on edge 2021

In right triangle DEF, mE = 90, DE = 8, EF = 15, and FD = 17. What is the value of tan F?

Answers

Answer:

The value of tan F = 8/15  or  0.533333

Step-by-step explanation:

To find the value of tan F, we will follow the steps below;

We will use trigonometric ratio. that is;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ = adjacent/hypotenuse

tan Ф = opposite/adjacent

if Ф = F

then opposite = DE = 8

adjacent = EF = 15

web can now proceed to insert the values into the formula

tan F = opposite/ adjacent

tan F = 8/15

tan F = 0.5333

tanF = oppos

Can someone please help me on this question

Answers

Answer:

124 students

Step-by-step explanation:

let number of boys be 11x and girls be 9x.

A.T.Q 124 more boys than girls

equation=

11x = 9x + 124

11x- 9x = 124

2x = 124

x = 124/2 = 62

boys= 62 * 11 = 682

girls= 62 * 9 = 558

total = 558+682 = 1240 students

PLS HELP WILL BE MARKED BRAINLIEST

Answers

Answer:

-23, 5

Step-by-step explanation:

JK = 14 and K = -9

J could be on the left or the right of -9

Add 14 to -9

14+-9 = 5

So J could be at 5

Subtract 14 from -9

-14-9 = -23

In circle O, and are diameters. Arc ED measures 17°. What is the measure of ? 107° 180° 253° 270°

Answers

CHECK THE COMPLETE QUESTION AND ITS ATTACHMENT BELOW

circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

Arc EFC = 253°

Step-by-step explanation:

From the attachment, we know we are dealing with a circle which has

360 degrees.

If we check that attachment we can deduced that we have

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

It an established rule that the central angle of an intercepted arc is equal to the measure of the arc, then if we check the figure again,

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Thefore, Arc EFC = 253°

Answer: c 253

egde 23

Step-by-step explanation:

What is equivalent to 16 3/4 x

Answers

Answer:

the answer

the question is not very clear, 

its complement may be Which is equivalent to 16 ^ 3/4x?

-4√16^3x

-4√16^3

-3√16^4x

-3√16^4

perhaps the 16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^  (3 / 4x)  

or - [16 ^  (3 / 4)]  x 

If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this

if the question is 16 ^  (3 / 4x), it is equivalent to 4x-th root of 16^3

so if the question is - [16 ^  (3 / 4)]  x 

so - [16 ^  (3 / 4)]  x  =( - 4√16^3)x  it is 4th root of 16^3 times x

so the choice is -4√16^3x

Step-by-step explanation:

question is attached

Answers

f ( x ) = x² + 144

=> x² + 144 = 0

=> ( x + 12 ) ( x - 12 ) = 0

=> x + 12 = 0 and x - 12 = 0

=> x = -12 and x = 12

So,the zeroes of f are -12 and 12 .

Solve the system by substitution.
9y = 2
- 4x +y = -35

Answers

Answer:

Step-by-step explanation:

9y=2

-4x+y=-35

____________

-4x=-y-35

-4x+35=-y

4x-35=y

____________

9(4x-35)=2

36x- 315=2

36x=317

x=8.8055555555555555555555555555555555 you get the idea

Roxanne has $80 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much will she have in 3 years?

Answers

104 because 10% of 80 is 8 years meaning 8+8+8=24 add 24 to 80 and ur answer is 104

Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following if it is possible. If it is not possible, explain.

Answers

Answer:

Option D is the correct answer

Step-by-step explanation:

Since, dimensions of both the matrices are different, hence they cannot be added.

If the measure of arc CD = 143°, and the measure of arc AB = 39°, what is m∠ DEC ?
88°
89°
90°
91°

Answers

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

Answer:

91

Step-by-step explanation:

You add the two measures of the intercepted arcs and divide by 2 to get the measure of the central angle.

Hope this helped!! Please leave a rating and/or mark me the BRAINLIEST!!! Thank You :)

The table represents a linear function.

Answers

Answer: -6

Step-by-step explanation:

To find the slope, you can take any 2 coordinates. Let's use (0,-4) and (1,-10).

The formula to find slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. We can fill it in with our coordinates.

[tex]\frac{-10-(-4)}{1-0} =\frac{-6}{1}[/tex]. Our slope is -6.

Which is a counterexample for the following statement?

The sum of two numbers is smaller than the product of the same numbers.

–2 and –8
–1 and –3
1 and 3
2 and 8

Answers

Answer:

2 and 8

1 and 3

Step-by-step explanation:

statement a+b < a*b

-2 + -8 < -2 * -8 => -10 < 16 TRUE

-1 + -3 < -1 * -3 => -4 < 3 TRUE

1+3 < 1*3 => 4 < 3 FALSE

2 + 8 < 2 * 8 => 10 < 16 FALSE

Answer :
2 and 8
1 and 3

Figure 2 was constructed using figure 1. On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0). Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2. For the transformation to be defined as a rotation, which statements must be true? Select three options. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. Segment CP is parallel to segment CP'. If figure 1 is rotated 180° about point C, it will be mapped onto itself.

Answers

Answer:

"Rotation" means turning around a center: The distance from the center to any point on the shape stays the same.Every point makes a circle around the centre.

The Figure 2 was constructed using figure 1.Among all the given options those which apply for the transformation to be defined as a rotation are :

A)The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2)

(B)The transformation is rigid.

(C)Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

(E)If figure 1 is rotated 360° about point C, it will be mapped onto itself.

Options A,B,C,E are the correct ones.

Answer:

A B C

Step-by-step explanation:

did edge test said to pick 3

One pipe can empty a tank in 45 minutes while a second pipe can empty it in 60 minutes. If both pipes are opened at the same time, how long will it take to drain the tank?

Answers

Answer:

It will take 25.7 minutes when they are working together

Step-by-step explanation:

Here, we want to know how long it will take both pipe working together to drain the tank

Let the volume of water to be drained be xL

for the first one, rate is

x/45 L/minutes

for the second x/60 L/minutes

Joint rate will be

x/45 + x/60 = 4x + 3x/180 = 7x/180

Now go get the time involved here, we simply divide the volume by the rate

That would be;

x divided by 7x/180

= x * 180/7x

= 180/7 = 25.7 minutes

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
x = StartFraction negative 4 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
x = –7 and x = –2
x = –1 and x = 4

Answers

Answer:

x = -7 ±√5  /2

That is;

x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

To find the solutions to the equation, we will follow the steps below

(2x + 3)² + 8(2x + 3) + 11 = 0 --------------------------------------------------------------(1)

let u = 2x + 3

we will replace 2x+ 3 by  u  in equation (1)

u² + 8u + 11 = 0  -----------------------------------------------------------------------------(2)

we will solve equation (2) using  the formula method

a=1   b=8     and c=11

u = -b ± √b² - 4ac  /2a

u = -8 ±√(-8)² - 4(1)(11)    /2(1)

u = -8 ±√64 - 44    /2

u = -8 ±√20    /2

u = -8/2  ± √20/2

u= -4 ± √20/2

u= -4 ± √5×4   /2

u= -4 ± 2√5 /2

u= -4 ± √5   ---------------------------------------------------------------------------(30

but u = 2x + 3

Substitute u =2x+3 in equation (3)

2x + 3 = -4 ± √5

subtract 3 from both-side of the equation

2x + 3-3 = -4 -3 ± √5

2x = -7±√5

Divide both-side of the equation by 2

2x/2 = -7 ±√5  /2

x = -7 ±√5  /2

Answer:

the answer is b

Step-by-step explanation:

i took the test

Consider the diagram. Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q. Lines a and c are coplanar. parallel. perpendicular. skew.

Answers

Answer:

D) no, because they are skew

Step-by-step explanation:

just did the assignment on edge 2020

hope this helps :)

Answer:

d

Step-by-step explanation:

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