Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. Shannon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Which equation below correctly represents the situation above?
A.
3m - 9 = 2m + 11
B.
3m - 11 = 2m + 9
C.
3m + 2m + 11 = 9
D.
4 × 11 + 2 × 9 = m

Answers

Answer 1

Answer:

B.

3m - 11 = 2m + 9

Amount Maddie earns = m = $20

Step-by-step explanation:

Let

Amount Maddie earns = m

Amount Lauren earns = 3m - 11

Amount Shannon earns = 2m + 9

If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Amount Lauren earns = Amount Shannon earns

3m - 11 = 2m + 9

Collect like terms

3m - 2m = 9 + 11

m = 20

Amount Maddie earns = m = $20

B.

3m - 11 = 2m + 9


Related Questions

Math help please show work I will mark Brainlist if correct

Answers

Answer:

Step-by-step explanation:

(3). 1 g ≈ 0.035274 oz

675 g ≈ 23.8 oz

(4). 1 cup ≈ 236.588 ml

[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml

(5). 1 L ≈ 0.22 gal.

150 L ≈ 33.0 gal.

(6). 1 cm ≈ 0.3937 inch

1 cm² ≈ 0.155 inch²

2.5 cm² ≈ 0.3875 inch²

can I get a walkthrough on these problems please?

Answers

Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree

solve for x. round to the nearest tenth. If necessary​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply:                                       x = 7/sin(30°)Evaluate:                                                                                                           x = 14

Answer:

x = 14

Step-by-step explanation:

Given :-

θ, angle = 30°Hypotenuse = xopposite side = 7

Solution :-

Since, it's right triangle we can use trignometery equations;

In this case we need to use sine equation.

sin θ = opposite side / hypotenuse

plug the values

sin 30° = 7 / x.

cross multiplication

x = 7 / sin 30°

Evaluate

x = 7 / 0.5

x = 14

simplify


[tex] \frac{2e + f}{8e - 2e {}^{2} } \times \frac{4e - e {}^{2} }{2ef + f {}^{2} } [/tex]
The answer is 1/2f​

Answers

my answer is in the image above

x = (a+b)2, y = a2+2ab+b2 and z = a2+b2-2ab (a) determine the sum of the numerical co-efficients of z terms. (b) determine y+z and y-z (c) If a = 3 and b = - 2, Prove that x = y​

Answers

Answer:

The given equations are;

x = (a + b)²

y = a² + 2·a·b + b²

z = a² + b² - 2·a·b

(a) The numerical coefficients of z terms are

1, 1, -2

The sum of the numerical coefficients = 1 + 1 - 2 = 0

(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;

y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²

y + z = 2·a² + 2·b²

y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b

(c) Given that a = 3, and b = -2, we have;

x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y

Therefore, x = y, for all values of 'a', and 'b'

Step-by-step explanation:

Find the slope of a line through the points (0,0) and (2, 9). Round your
answer to 1 decimal place.
SLope = y2-y1 / x2-x1

Answers

Answer:

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

[tex]m=\dfrac{9-0}{2-0}\\\\m=4.5[/tex]

So, the slope of the line is 4.5.

If 2 tan x/ 1- tan^2 x=1, then x can equal:

Answers

Answer: x=pi/8+npi    and x=5pi/8+npi

Step-by-step explanation:

A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many containers are required for the recipe? ​

Answers

There are two pints per quart

3 q * 2 p/qt = 6 pints needed

6 pint /1.5 pint/container = 4 containers

P={x:x is a natural number,x<9​

Answers

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

and any number from 1 to 8

(x cannot be 0, because you cannot do 0/0 = 1)

This question is incomplete and cannot be answered.
There are 8 natural numbers less than 9. (1, 2, 3, 4, 5, 6, 7, 8)
but we don’t know how large the set is we are choosing from.

Does this graph show a function? Explain how you know.
A. Yes; there are no y-values that have more than one x-value.
B. No; there are yvalues that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
• D. No; the graph fails the vertical line test.

Answers

Answer:

yes

Yes; the graph passes the vertical line test.

Step-by-step explanation:

if it were a graph of a circle it would not pass

the vertical line test because the vertical line would touch at least 2 points

graph is probably a cubic function

something like

y = x^3-4x+6

Find the gradient of the line y=4x-7

Answers

Answer:

4

Step-by-step explanation:

Answer:

gradient = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = 4x - 7 ← is in slope- intercept form

with gradient m = 4

13.
Shown is an L shape.
3x
2y
13y
X
All measurements are in centimetres.
Find an expression for the area of the L shape.

Answers

Answer: 24 yards

Step-by-step explanation:

the ratio of fiction books to non-fiction
books in Roxanne's library is 7 to 9.
If Roxanne owns 182 fictions books
how many non-fiction books does she​

Answers

Answer:

234

Step-by-step explanation:

182/7= 26 9x26=234

why is there a minimum number of characters needed

Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?

Answers

Answer:

Fragrant Fields Greenhouse sold 24 rose bushes.

Step-by-step explanation:

We know that:

1 rose bush = $19.90

And last weekend, the company ended up making $477.60 on rose bushes.

An equation that can represent this situation is:

19.90x = 477.60

To find x, divide:

477.60 ÷ 19.90 = 24

CHECK IT:

19.90(24) = 477.6

That is also $477.60, in terms of money

THEREFORE, the company sold 24 rose bushes.

Hope this helps!

Graph f(x) = x^3. I forgot my lesson yesterday can someone pls remind me?

Answers

Type it into a graphic calculator Or Desmo. If you can’t then plug in x

Answer:

If the x^3 term is positive (which it is) it will look like this.

Step-by-step explanation:

A grocer noticed that customers buy both pet and baby supplies with a probability of 0.12. Considered separately, the probability that

customer buys pet supplies is P(A) = 0.64, and the probability that a customer buys baby supplies is P(B) = 0.25.

Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet

supplies or baby supplies.

Answers

Answer:

0.77

Step-by-step explanation:

Given that:

P(A) = 0.64

P(B) = 0.25

P(AnB) = 0.12

Probability that customer buys either pet or baby supplies ; P(AuB)

P(AuB) = P(A) + p(B) - p(Ann)

P(AuB) = 0.64 + 0.25 - 0.12

P(AuB) = 0.77

What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?

Answers

Answer:

y=1/3x+7

Step-by-step explanation:

Hi there!

We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)

Parallel lines have the same slopes, but different y intercepts

So we need to find the slope of x-3y=21

To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

We'll need to isolate y onto one side

subtract x from both sides

-3y=-x+21

divide both sides by -3

y=1/3x-7

1/3 is in the place where m is, so 1/3 is the slope of the line

it's also the slope of the line parallel to x-3y=21

here's the equation of the line parallel to x-3y=21 so far:

y=1/3x+b

we need to find b

as the line passes through (-6,5), we can use it to solve for b

substitute -6 as x and 5 as y

5=1/3(-6)+b

multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b into the equation

y=1/3x+7

Hope this helps!

a square garden has an area of 6400 square find its perimeter​

Answers

Answer:

80

Step-by-step explanation:

Area of a square is LxL where L is the length of the side

so 6400 = LxL

L = 80

a baseball player leads off the game and hits a long home run. the ball leaves the bat at a height of 4ft above the ground and an angle of 32 degrees from the horizontal with a velocity of 131 ft/s.
write a set of equations that model the scenario.

Answers

Answer:

time = 4.4 s

horizontal distance = 488.8 m

Step-by-step explanation:

Height, h = 4 ft

Angle, A = 32 degree above X axis

velocity, u = 131 ft/s

Let the time taken is t.

Use second equation of motion

[tex]h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s[/tex]

So, time is 4.4 s.

The horizontal distance is

d = u cos A t

d = 131 cos 32 x 4.4 = 488.8 m

f(x)=x2. What is g(x)?

Answers

Answer:

(2x)^2 the answer is option a

right triangle similarity. what is the value of a?
5 units
5 1/3 units
6 2/3 units
7 units

Answers

Answer:

I'd say that a is 6 2/3 units long

Step-by-step explanation:

what frcation is equal to 4​

Answers

The answer is D
Explanation 4 ones is 4

Which definition best describes skew lines?

Answers

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

What is Skew lines definition?

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.

Skew Lines Example

In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.

Skew Lines in 3D

Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.

In the figure given below 'a' and 'b' are skew lines.

Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

To learn more about skew lines visit:

https://brainly.com/question/2603508.

#SPJ2

Answer:

O D. Lines that do not intersect and are in the same plane

Step-by-step explanation:

Credit to person above for explaining,

Hope it helps!

Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overall class average of 90%?

Answers

Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

[tex]92+86+83+90+91+x=90 \times 6[/tex]

Step 2) Simplify equation:

[tex]442+x=540[/tex]

Step 3) Subtract 442:

[tex]x=540-442=98[/tex]

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5

Answers

Answer:

??????????

Step-by-step explanation:

Answer:

need more clarification

Step-by-step explanation:

?????????????????????????????????????????????????????????????????????

Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.

y=x2+6x+4
y=x

Answers

Answer:

x= -2

y= -2

Step-by-step explanation:

y = 8x + 14

y = x

Now by subtraction of these two equation,

So 0 = 7x + 14

x = -2

y = -2

represent “the product of 9 and a number y” mathematically

Answers

Answer:

9y

Step-by-step explanation:

Here, we want to have a mathematical representation

the product of 9 and a number y means we have to multiply 9 by the number y as follows;

= y * 9 = 9y

Help me, please :)
I need to find the value of x

Answers

The vale of x is 55 !!

20+30x=36+28 any help??

Answers

the answer is x=22/15

each side of a polygon is 2.5 cm in length. the perimeter of the polygon is 12.5 cm.how many sides does a polygon have ?​

Answers

Answer:

it's 5 sides

Step-by-step explanation:

I hope this helps

Answer:

5 sides

Step-by-step explanation:

12.5÷2.5=5

therefore the answer is 5

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