Given:
Arnold has $24 to spend at the movies.
Ticket = $12
Popcorn is double the price of the soda.
The soda and candy bar are same price.
To find:
The price for the soda.
Solution:
Let x be the price of soda.
According to the question,
Price of candy = Price of soda = x
Price of popcorn = 2(price of soda) = 2x
Total amount = Ticket + Popcorn + Soda + Candy
[tex]24=12+2x+x+x[/tex]
[tex]24=12+4x[/tex]
[tex]24-12=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Therefore, the price of soda is $3.
true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5. explain or show your reasoning.
Answer:
point A (6,13) lies on the equation. True
given point B(21,33) lies on the equation. True
given point C (99, 137) lies on the equation. True
The equation that was given was y = 4/3x + 5
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation y = 4/3x +5
y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13
y=13
the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation y=4/3x+5
y=4/3(21) + 5 = 4(7) + 5=28+5=33
y = 33
the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation y = 4/3x + 5
y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137
y = 137
the given point C (99, 137) lies on the equation.
There is your answer
HELP PLEASE what;s the slope of the line?
Answer:
u didnt even send an attachment
Step-by-step explanation:
What is the rate of change for y=0.5x+9
Answer:
0.5
Step-by-step explanation:
The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.
Answer:
Slope: 0.5
Y - Intercept: (0, 9)
x y
-18 0
0 9
(pretend that's a graph)
Proportional: Ratios are equivalent.
Non-proportional: Ratos are not equivalent.
-18/ 0 is not equal to 0/9.
Undefined =0
Non-proportional
A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y
Answer:
$7 total
Step-by-step explanation:
$5 + $2 = $7
Form a union for the following sets.
K=2,3, 5, 8)
L={3, 5, 7)
(3,5)
( )
(2,3,5,7,8)
(2,7,8)
Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
Im in need of help so please help[ :)))
Pentagon MVEDR is shown on the coordinate grid. Pentagon MVEDR is dilated with the origin as the center of dilation using the rule (x,y)→(23x, 23y) to create pentagon M'V'E'D'R'.
Which statement is true?
Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is greater than 1.
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is less than 1.
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is greater than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at M at negative 5 comma 2, v at negative 2 comma 3, e at 3 comma 3, d at 3 comma negative 3, r at negative 2 comma negative 3 Vertices labeled with letters.
Given:
Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule [tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex] to create pentagon M'V'E'D'R'.
To find:
The correct statement.
Solution:
If a figure dilated by factor k, then the rule of dilation is
[tex](x,y)\to (kx,ky)[/tex]
Here,
If k>1, then the image is larger than the original figure.
If k<1, then the image is smaller than the original figure.
We have,
[tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex]
Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is
[tex]k=\dfrac{2}{3}<1[/tex]
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Therefore, the correct option is B.
Option (B). Pentagon M'V'E'D'R' is smaller than pentagon MVDER because the scale factor is less than 1.
Transformation of a point by dilation: If a point (x, y) is dilated by a scale factor 'k' about the origin,
image point formed will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be lager than the preimage.If k < 1, image will be smaller than the preimage.
Given in the question,
Rule for the transformation → [tex](x,y)\rightarrow (\frac{2}{3}x,\frac{2}{3}y)[/tex]
Here, [tex]k=\frac{2}{3}[/tex] which is less than 1.
Therefore, image pentagon M'V'E'D'R' will be smaller than the original pentagon MVDER.
Option (B) will be the correct option.
Learn more about the transformation of a figure here,
https://brainly.com/question/2298651?referrer=searchResults
Which statement is true about the interval from 40 to 50 minutes?
Answer:
A
Step-by-step explanation:
Finbar invested money in a transportation stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 11 to day 15.
Answer:
The average rate of change is 76.8
Step-by-step explanation:
The average rate of change is ;
f(b)-f(a)/b-a
where ; a is 11 and b is 15
f(11) = 0.01(2)^11 = 20.48
f(15) = 0.01(2)^15 = 327.68
The average rate of change will
be;
(327.68-20.48)/15-11 = 307.2/4 = 76.8
Answer:
76.8
Step-by-step explanation:
The average rate of change is f(b)-f(a)/b-aSo u basically do
f(11) = 0.01(2)^11 = 20.48
f(15) = 0.01(2)^15 = 327.68
The average rate of change will be uh 76.8
(327.68-20.48) /1 5-11 = 307.2/4
= 76.8
Hope this helps
~~Wdfads~~
1. Angelina received 10% off a $50 pair of shoes. How much did she save?
Answer:
$5
Step-by-step explanation:
Multiply 0.10 by $50
5
So Angelina saved $5
Hope this helped :)
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
The inches in height will be 18 inches.
Step-by-step explanation:
Okay so we know that the original width is 4 inches and she enlarged that to 12 inches
So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.
So, the width of the photograph grew "times 3" inches
Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches
So in simpler words 12 divided 4 = 3 x 6 = 18 inches
The inches in height will be 18 inches.
Jill has a square with a width of 12 inches, and a height of 18 inches.
Have a wonderful day!
A jewelry store buys a gold watch sell.
The price of the watch is marked up 45%
The store sells the watch for $2,610.00.
How much did the jewelry store pay for the watch?
Answer:
-2565
Step-by-step explanation:
because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies
Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
The compound inequality for the graph is _____? This compound inequality is true only if _______?
Answer:
Option (2)
Step-by-step explanation:
Arrow shown on the left hand side of the number line represents the inequality,
x < 5 [No sign of 'equal to' because arrow starts with a hollow circle]
Arrow given on the right hand side of the number line will represent,
x > 18
And these arrows represent the two solution areas of x, so the composite inequality that represents the graph will be,
x < 5 or x > 18
Option (2) will be the answer.
Hi Someone plz help me ty have a great day.plz see the picture
Answer:
Your answer is 34 1/2, have a great day and happy holidays!
Step-by-step explanation:
Answer:
34 1/2
if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.
I need it done du the end of the day
Please please
Answer:
1). Options (B) and (E)
2). First train is going faster than the second train.
Step-by-step explanation:
1). Rate of 2 gallons of vinegar = $3
Therefore, per gallon rate of vinegar = [tex]\frac{3}{2}[/tex] = $1.5
In $3 quantity of vinegar chef will get = 2 gallons
Therefore, quantity of vinegar chef will get in $1 = [tex]\frac{2}{3}[/tex] gallons
Option (A).
Price of 4 gallons = 4 × $1.5 = $6.00
False.
Option (B)
Price of 1 gallon = $1.50
True
Option (C)
Price of 30 gallons = 30 ×$1.5 = $45
False.
Option (D)
In $2 number of gallons of vinegar chef will get = [tex]\frac{2}{3}\times 2=\frac{4}{3}[/tex] gallons
False
Option (E)
Number of gallons of vinegar chef gets in $1 = [tex]\frac{2}{3}[/tex]
True
Therefore, Options (B) and (E) are the correct.
2). Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
For first train,
Speed = [tex]\frac{30}{\frac{1}{3}}[/tex]
= 90 miles per hour
For second train,
Speed = [tex]\frac{20}{\frac{1}{2}}[/tex]
= 40 miles per hour
Since, 90 miles per hour > 40 miles per hour
First train is going faster than the second train.
Select all the measurements that are equivalent to 2.4 meters.
0.0024 km
0.024 mm
0.24 cm
240 cm
2,400 mm
Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!
Step-by-step explanation:
The measurements that are equivalent to 2.4 meters are
0.0024km, 240cm and 2400mm.
The correct options are (A), (D) and (E).
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.
A unit conversion expresses the same property as a different unit of measurement.
For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given,
measurement = 2.4 meters
1 meter = 1/1000 km
⇒ 2.4 meter = 2.4 /1000 = 0.0024 km
1 meter = 100 cm
⇒ 2.4 meters = 2.4×100 = 240 cm
1 meter = 1000 mm
⇒ 2.4 meters = 2.4×1000 = 2400 mm
Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.
Learn more about unit conversion here:
https://brainly.com/question/19420601
#SPJ2
Simplify by combining like terms. 7x^2 + 2x^3 - 5x^2 + 3x - 4x^3
(someone plz help)
Answer:
Step-by-step explanation:
2x^2-2x^3+3x
Answer:
Step-by-step explanation:
Add them together
-2[tex]X^3[/tex] + 2[tex]X^2[/tex] + 3x
Pls help I don’t under stand and I’ve been on this question for 2 hours
Answer:
Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]
Step-by-step explanation:
Answer:
x = 20
p = 144
y = 144
Step-by-step explanation:
Vertically opposite angles are equal.
2x - 4 = 96 - 3x
2x + 3x -4 = 96
5x - 4 = 96
5x = 96+4
5x = 100
x = 100/5
x = 20
2x - 4 = 2*20 - 4 = 80 - 4
= 36
p + (2x - 4) = 180 {linear pair}
p + 36 = 180
p = 180 - 36
p = 144
y = p {vertically opposite angles}
y = 144
Solve.
-11 2/3 × (-4 1/5) = ?
A) 49
B) -44 2/15
C) -49
D)-44 2/15
Answer:
the answer is C
Step-by-step explanation:
i just went over this question like just now
|8|+|-7| its 15 right?
Answer:
Yes. |8|+|-7| = 15
Step-by-step explanation:
the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15
Candace is considering purchasing a common stock that pays an annual dividend of $3.42 per share. If she purchases 400 shares for $53.18 per share, what would her annual income be from dividends?
Answer:
$1368
Step-by-step explanation:
Income from dividends = price per share x number of dividends purchased
$3.42 x 400 = $1368
As an estimation we are told 5 miles is 8 km.
Convert 100 km to miles.
Answer:
62.5 miles
Step-by-step explanation:
The answer is 62.5 miles because 5 divided by 8 is 0.625 and 0.625 multiplied by 100 is 62.5
what is the quotient of 4 divided by 1/8
Answer:
32
Step by step explanation
Laura bought a bike on sale for $7.16 off the list price. The discount was 8%. What was the list price?
please help me! (will mark branliest)
Answer:
0.5728
Step-by-step explanation:
8*7.16/100 =0.5728
please complete marking the first answer brainliest!
Answer:
$31.56
Step-by-step explanation:
$9.85 × 4 = $39.40
$39.40 25% off is $29.55
6.75% rounded to the nearest cent 6.80%
Sales tax is $2.01
$29.55 + $2.01 = $31.56
What is the slope of the line?
-2x + y = -4
Need help asap
Answer:
y = 2x - 4
Step-by-step explanation:
Can I ask which variable you are solving?
PS I will assume you need the formula y=mx+b
-2x + y = - 4
Here you would translate the m and x variables to the right side making them positive.
y = 2x - 4
Now the formula is in proper form
Hey :)
If you are solving for x, the answer is: x = y/2 + 2
-2x + y = -4
Subtract y from both sides
−2x = −4 − y
The equation is in standard form:
−2x = − y −4
Divide both sides by −2:
-2x/-2 = -y - 4/-2
Dividing by −2 undoes the multiplication by −2
x = -y -4/-2
Divide −4 −y by −2
x = y/2 + 2
However, if you are solving for y, the answer is: y = −4 + 2x
−2x + y = −4
Add 2x to both sides:
y = −4 + 2x
Hope this helps!
Write the zero that corresponds to the factor (x+5)
Answer:
0+5
Step-by-step explanation:
Hope this helps. :)
Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
I need help on this question
Answer:
A
Step-by-step explanation: