answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Cloud [144]
2 years ago
11

Sheila has x 20 dollar bills, and Tamsin has y 10 dollar bills. Sheila has a total of $50 more than Tamsin, but Tamsin has 1 mor

e bill than Sheila. How many bills does Sheila have?
Mathematics
1 answer:
natka813 [3]2 years ago
6 0

Answer:

Sheila have 6 bills

Step-by-step explanation:

Suppose Sheila has x '20' dollar bills, so the total cost of her bill = $20x

Suppose Tamsin has y '10' dollar bills, so the total cost of her bill = $10y

<h3>Equation 1</h3>

<em>Sheila has a total of $50 more than Tamsin</em>

<h2><em>10y + 50 = 20x</em></h2><h2 /><h3>Equation 2</h3>

<em>Tamsin has 1 more bill than Sheila.</em>

<h2>y = x + 1 </h2><h2 />

<em>Now solve them by putting value of x in equation </em>

10( x + 1 ) + 50 = 20x

10x + 10 + 50 = 20x

60 = 20x - 10x

10x = 60

x = 60/10

x = 6

and

y = 7

<em> </em>

You might be interested in
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the t
Alina [70]
Speed of truck= x
speed of train=x-30
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.

A loaded moving truck is traveling 30 mph faster than a freight train...
(x-30)=speed of train
the time it takes the train to travel 135 miles, the truck travels 225 miles...
135/(x-30)=225/x
the you multiply on both sides the x values and get...
 135x=225x-6750
then you subtract 225x on both sides...
-90x=-6750
then you divide -90 on both sides...
x=75
the speed of the truck is 75mph
i hope this helped give me a thanks and a 5 star rating if it helped! c:



4 0
2 years ago
On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84
valentinak56 [21]
Trevor answered seven questions incorrectly. 
6 0
2 years ago
The graph shows the linear relationship between the height of a plant (in centimeters) and the time (in weeks) that the plant ha
bija089 [108]
I found a graph with the same problem, so I guess this is the graph to be based on. To find the rate, just determine the slope between any two points along the line. Suppose these points are: (30,10) and (50,20).

Slope = (20 - 10)/(50 - 30) = 1/2

<em>The correct answer should be: the rate of change is 1 cm per 2 weeks, or 1/2.</em>

5 0
2 years ago
Read 2 more answers
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.
scoundrel [369]

Answer:

<em>The price for a 60-ounce bag of popcorn would be $16</em>

Step-by-step explanation:

<u>Function Modeling</u>

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

\displaystyle p-p_1=\frac{p_2-p_1}{V_2-V_1}(V-V_1)

We'll use the first two values (6,10) (8,20)

\displaystyle p-6=\frac{8-6}{20-10}(V-10)

Simplifying and rearranging, we get the model

\displaystyle p(V)=\frac{1}{5}V+4

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

\displaystyle p(35)=\frac{1}{5}(35)+4=11

\displaystyle p(48)=\frac{1}{5}(48)+4=13.6

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

\displaystyle p(60)=\frac{1}{5}(60)+4=16

The price for a 60-ounce bag of popcorn would be $16

6 0
2 years ago
If line A contains Q(5,1) and is parallel to line MN with M(-2,4) and N(2,1), which ordered pair would be on the perpendicular t
vivado [14]
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.

Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line

y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)

y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)

6 0
1 year ago
Read 2 more answers
Other questions:
  • jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper
    15·1 answer
  • Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv
    5·1 answer
  • A candy store sells yogurt-covered raisins for $3.50 per pound and chocolate-covered-pretzels for $3.00 per pound. How many poun
    15·1 answer
  • Which of the following systems of Inequalities would produce the region indicated on the graph below?
    5·2 answers
  • The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that app
    15·2 answers
  • There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 3 inches thick. If you glue them together, what i
    15·2 answers
  • Minneapolis, Minnesota and Portland, Oregon have very similar latitudes. (Latitude measures how far north or south a place is, w
    11·3 answers
  • Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was
    7·1 answer
  • THEIR AGES
    11·1 answer
  • (i)Express 2x² – 4x + 1 in the form a(x+ b)² + c and hence state the coordinates of the minimum point, A, on the curve y= 2x² 4x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!