Answer:
$6
Step-by-step explanation:
Answer:
both cost 3 dollars
Step-by-step explanation:
x=adult ticket
y=child ticket
12x+7y=57
7x+14y=63
24x+14y=114
-7x-14y=-63
17x=51
x=3
7(3)+14y=63
21+14y=63
14y=42
y=3
4x – 1 = 7x – 16
Solve the problem
(Show your work)
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4x - 1 = 7x - 16
Step 2: Solve for x
Subtract 4x on both sides: -1 = 3x - 16Add 16 to both sides: 15 = 3xDivide 3 on both sides: 5 = xRewrite: x = 5Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(5) - 1 = 7(5) - 16Multiply: 20 - 1 = 35 - 16Subtract: 19 = 19Here we see that 19 does indeed equal 19.
∴ x = 5 is a solution to the equation.
Answer:
4x−1=7x−16
Step 1: Subtract 7x from both sides.
4x−1−7x=7x−16−7x
−3x−1=−16
Step 2: Add 1 to both sides.
−3x−1+1=−16+1
−3x=−15
Step 3: Divide both sides by -3.
−3x
−3
=
−15
−3
x=5
Step-by-step explanation:
if 1/6 of a number,plus one third returns two-thirds of that number what is the number
please help!!!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
let n be the number , then
[tex]\frac{1}{6}[/tex] n + [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex] n
multiply through by 6 ( the LCM of 6 and 3 ) to clear the fractions
n + 2 = 4n ( subtract n from both sides )
2 = 3n ( divide both sides by 3 )
[tex]\frac{2}{3}[/tex] = n
Answer:
[tex]{\mathsf {n=\frac{2}{3}}}[/tex]
Step-by-step explanation:
In word problems like this, you have to break down the problem description into math form
This is an equation description so we need a variable to work with. Let's call this variable n
1/6th of this number can be translated to:
[tex]\displaystyle \mathsf {\frac{1}{6}n}[/tex]
1/6th of this number plus one-third translates to:
[tex]\displaystyle \mathsf {\frac{1}{6}n} + \frac{1}{3}[/tex]
1/6th of this number, plus one-third returns two-thirds of that number
returns is just a fancy way of saying equal to.
So returns two-thirds of that number translates to
= two-thirds of that number
Two-thirds of the number is
[tex]\displaystyle \mathsf {\frac{2}{3}n}[/tex]
So putting all this together we get the equation
[tex]\displaystyle \mathsf {\frac{1}{6}n} + \frac{1}{3} = \frac{2}{3}\mathsf n[/tex]
We have to now solve for the equation.
Bring all the n terms to the left side and the constant(1/3) to the right to solve for n
[tex]\displaystyle \mathsf{ Subtract\:}\frac{1}{3}\mathsf {\:from\:both\:sides}[/tex]
[tex]\mathsf {\frac{1}{6}n+\frac{1}{3}-\frac{1}{3}=\frac{2}{3}n-\frac{1}{3}}[/tex]
Simplify to get
[tex]\mathsf {\frac{1}{6}n=\frac{2}{3}n-\frac{1}{3}}[/tex]
Subtract [tex]\mathsf {\frac{2}{3}}[/tex] from both sides
[tex]\mathsf {\frac{1}{6}n-\frac{2}{3}n=\frac{2}{3}n-\frac{1}{3}-\frac{2}{3}n}[/tex]
Simplify to get
[tex]\mathsf{\frac{1}{6}n-\frac{2}{3}n= -\frac{1}{3}}[/tex]
The left side term is [tex]\mathsf {\frac{1}{6}n-\frac{2}{3}n}[/tex]
Factor out the common term [tex]n[/tex]:
[tex]\mathsf {n\left(\frac{1}{6}-\frac{2}{3}\right)}[/tex]
[tex]\mathsf {\frac{1}{6}-\frac{2}{3}=-\frac{1}{2} }[/tex]
So we get our equation as
[tex]\mathsf {-\frac{1}{2}n=-\frac{1}{3}}[/tex]
Multiply both sides by -2 to get
[tex]\boxed {\mathsf {n=\frac{2}{3}}}[/tex]
Last week, it rained x inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Match all that apply to "does represent" match the rest to "does not represent".
A. g−0.05
B. g−0.05g
C. 0.95g
D. 0.05g
E. (1−0.05)g
I think the answer would be A because 5% ×100=0.05 , and in the question they have been telling us that it decreased by 5 from the last week so the equation would be g of the last week - 0.05
Sara missed 7 of 184 school days this year. Approximately what percent of school days was Sara present?
A. 4%
B. 96%
C. 177%
D. 7%
Answer:
B. 96%
Step-by-step explanation:
Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and
177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173
then multiply by 100 to get percentage so approximately 96%.
3
-2
T
B
0
-2
2
A
3
The distance AB = [?]
Round to the nearest tenth.
the distance between the points A and B that is AB is equal to 5.39 units.
We are given the points as:
A = ( 2, 3 )
B = ( 0, - 2 )
We need to find the distance AB between the points.
The distance between the points is given by the formula:
Distance = √ ( y₂ - y₁ )² + ( x₂ - x₁ )²
Substituting the values in the formula, we get that:
Distance AB = √ ( - 2 - 3 )² + ( 0 - 2 )²
Distance AB = √ ( - 5 )² + ( - 2 )²
Distance AB = √ 25 + 4
Distance AB = √ 29 units
Distance AB = 5.39 units.
Therefore, we get that, the distance between the points A and B that is AB is equal to 5.39 units.
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The perimeter of a rectangle was 60 centimeters. The length is 4 centimeters longer than the width, w. What equation could be used to solve this problem? Choose all that apply.
a.2(w)+ 2(w+4) =60
b. w(w+4) =60
c.4w+8=60
d.2w+(w+4) =60
Answer:
a. 2w + 2(w+4) = 60
Answer:
the answers a
Step-by-step explanation: the width is 10 and the length is 20
slope = 1/2 passes threw -4,-7
Answer:
y=1/2x-5.................
Step-by-step explanation:
hope this is what your looking for
find the 9th term of the geometric sequence 6,-24,96...
please help anyone!
are u sure it's - 24 in the middle one of the sequence. ?
Help If u can please show ur work thank you
Answer:
c
Step-by-step explanation:
you substract both numbers to get 29. Difference in math problems means to subtract!
Find the value of X? Please answer both :))
In the given figure , two sides of the triangle are equal , so it is isosceles triangle . So , as we know that in an isosceles triangle equal side's opposite answers are also equal . Now ,
=> x = 75°
Hence , x = 75°
Answer 2 :-Using the same property which we used in the above problem ,
• x = x
Now using angle sum property of triangle ,
=> x + x + 40° = 180°
=> 2x + 40° = 180°
=> 2x = 180° - 40°
=> 2x = 140°
=> x = 140° / 2
=> x = 70°
Hence , x = 70° .
Answer:
The ans to the first question would be 75, Coz....
It's an Isosclese triangle, as both sides are equal [The two lines on the triangle indicate that its equal]
So,the angle given is 75 degrees, the other angle would be 75 degrees too.
For the second question-
The same rule applies here, the triangle shown is an isosclese triangle,so the angle x & the angle opposite to x should be equal [The angle opposite or next to angle x is blank, so lets just call it y]
The equation of a triangle goes-
The angles of a triangle add upto 180
So 40+x+y=180
180-40 will give the sum of both angle x & y
180-40=140 [Now we know that x+y=140, we also know that both angles have the same value, so basically they're equal]
this means that we can divide 140 equally into two parts to disturbute the value to both x & y
140/2=70 degrees
So, the ans of x=70 [y is also 70, but the question doesnt ask for it]
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?
Answer:
We get value of the value of b = 5
Step-by-step explanation:
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?
We have slope m: [tex]m=-\frac{1}{6}[/tex]
We need to find value of b (y-intercept)
Using the point A(-6,6) and slope [tex]m=-\frac{1}{6}[/tex] we can find b.
Using slope-intercept form, putting values of m and x and y we get the value of b:
[tex]y=mx+b\\6=-\frac{1}{6}(-6)+b\\6=1+b\\b=6-1\\b=5[/tex]
So, we get value of the value of b = 5
Answer:
C: 5
Step-by-step explanation:
Edg 2022
Denise is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is $0.50. If her parents gave her $20, write and solve a linear equation to find how many rides she can go on.
Answer:
she can go on 30 rides I think
Answer:
30 rides
Step-by-step explanation:
Ok first you have to subtract 5 because you payed 5$ to get in and then you divide 15$ by 0.50 and that will give you 30. So she can ride 30 rides total!
determine the rate of charge for the graph from 2010 to 2012:
Answer:
This answer is D
Step-by-step explanation:
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
Here are six number cards -8,0,-6,2,-4,-2 arrange the cards into three pairs with the same total
[ -8, 2 ] [ -6 , 0 ] [ -4 , - 2 ] are probability of the cards into three pairs with the same total .
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.( -8 ) + 0 + ( - 6) + 2 + ( -4 ) + ( -2 ) = -20 + 2 = -18
{ addition of negative numbers }
So, each pair = -18 / 3 = -6 { division }
so the pairs are = [ -8, 2 ] [ -6 , 0 ] [ -4 , - 2 ]
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1. Write an equation that could represent the graph below. Justify why your equation is appropriate for this graph. у
Answer:
-x^2
Step-by-step explanation:
If f(x) = 2x + 1, then f(3) = ?
If f(x) = 2x + 1, then f(3) =9.
What is a Function?A function is a relation between a set of inputs having one output each. In simple words.
Solving the function:We have
[tex]f(x)=2^{x} +1\\f(3)=2^3+1\\f(3)=8+1\\f(3)=9.[/tex]
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What is the price per pound of watermelon?
A. $0.25
B. $0.75
C. $1.40
D. $7.50
Answer:
B. 0.75
Step-by-step explanation:
this is what I think cuz the graph at 1 is 0.75
pls help!!
A line is parallel to y = -3x + 2 and intersects the point (4,3). What is the equation of this parallel line?
y = [?]x + [ ]
Step-by-step explanation:
Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)
I.E.:
y = -3x - 12
Point P( –3, 1) is rotated 270°, then reflected across y=x. What is P′′?
Point P=(-3,1). The point P is rotated 270°. Reflected across y=x. The given image is obtained by rotating a preimage by 270 degrees clockwise and using its coordinates point P"=(3,1).
Given that,
Point P=(-3,1)
The point P is rotated 270°.
Reflected across y=x.
The reflection of (x, y) across the line y = x results in (y, x)
Across the line y = x, P(-3, 1) is reflected (1, -3)
The given image is obtained by rotating a preimage by 270 degrees clockwise and using its coordinates (x, y) is (-y, x)
The given image is produced by rotating the preimage, P, by 270 degrees clockwise. Its coordinates are P = (1, -3) is (3, 1)
Therefore, point P"=(3,1)
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PLEASE HELP ME !!!!!!!!!!!
for each equation, find f(-x) and -f(x) and then determine whether if is even, odd or neither. Justify your answer
[tex]f(x)=x^4+4/x^2+1[/tex]
The function f(x) = x^4 + 4/x^2 + 1 is an even function
How to determine the function type?The equation of the function is given as
f(x) = x^4 + 4/x^2 + 1
Calculate f(-x)
So, we have
f(-x) = (-x)^4 + 4/(-x)^2 + 1
Evaluate the exponents
f(-x) = x^4 + 4/x^2 + 1
Calculate -f(x)
So, we have
-f(x) = -[x^4 + 4/x^2 + 1]
Evaluate the product
-f(x) = - x^4 + 4/x^2 + 1
From the above computations, we have
f(x) = f(-x)
This represents an even function
Hence, the function f(x) = x^4 + 4/x^2 + 1 is an even function
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Help with math problem
Can you have a triangle with sides 6, 7, and 2?
Two divers are scuba diving. The first diver is 30 meters under water, which is 12 meters
deeper under water than the second diver. The second diver's depth, d, can be determined
using the equation d + 12 = 30. The gauge on the second diver's equipment says he is 16
meters under water. Is his gauge correct?
d=first diver depth
s=second diver depth
d= 30
S= 30-12=18
the equation given and the gauge must be wrong because the equation for the second duvet souls be s=d-12 since the first diver is DEEPER than the second.
Which table shows a proportional relationship between weight and price?
CLEAR
CHE
Weight Price
$2.50
20 g $5.00
10 mg
Weight Price
2.5 g $5.00
5g $7.50
Weight Price
5 lb $15.00
10 lb $20.00
Weight Price
1 kg
$0.25
8 kg $2.00
Answer:
The first table
Step-by-step explanation:
4. The list shows the dinner prices at the Carlton Cafe. Organize the data in a table using
intervals: $5.00-$9.99, $10.00-$14.99, $15.00-$19.99, $20.00-$24.99, and $25 and up.
What is the most common interval of dinner prices?
$17.99
$14.00
$17.49
$12.98
$10.00
$12.99
$7.50
$26.00 $22.00
$12.00
$13.50
$21.00
$7.98
$11.50
$14.75
$9.99
$12.50
$8.25
$8.75
$28.50
$11.25
$13.00
$9.00
$6.50
$16.00
Answer:
The most common interval is 10 to 14.99 $ with 11 items
Step-by-step explanation:
See attached for details.
$10.00-$14.99 is the most common interval of dinner prices.
To find the most common interval of dinner prices,
Organize the data into the specified intervals and then count the occurrences in each interval.
Here are the intervals:
1. $5.00-$9.99
2. $10.00-$14.99
3. $15.00-$19.99
4. $20.00-$24.99
5. $25 and up
Now, let's categorize the dinner prices from the given list into these intervals:
1. $7.50, $7.98, $6.50, $8.25, $8.75, $9.00, $9.99 (7 prices)
2. $10.00, $12.00, $12.98, $12.99, $11.50, $13.50, $11.25, $13.00, $12.50 (9 prices)
3. $14.00, $14.75, $15.00, $17.49, $16.00, $17.99 (6 prices)
4. $21.00, $20.00, $22.00 (3 prices)
5. $26.00, $28.50, $25 and up (3 prices)
Now, let's see which interval has the highest number of prices.
It appears that the second interval, $10.00-$14.99, has the most prices (9 prices), making it the most common interval of dinner prices.
Hence, $10.00-$14.99 is the most common interval of dinner prices.
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Find the coordinates of the orthocenter of the triangle whose vertices are A(3, 1), B(0, 4) and C(-3, 1).
andrew can paint a room in $3$ hours. bob can paint the same room in $6$ hours. how many hours will it take andrew and bob to paint the room together?
Total time taken by Andrew and bob is 2hr.
given, time taken by Andrew to paint the room = 3hrtime taken by bob to paint the room =6hr rate of Andrew as x =1/3.
rate of bob as y=1/6x+y=1/3+1/6=1/2
total time taken by Andrew and bob =1/x + y
=1/1/3+1/6
= 2hr.
therefore total time taken by Andrew and bob is 2 hr.
The formula for time is given as [Time = Distance ÷ Speed]. To calculate the distance, the time formula can be molded as [Distance = Speed × Time].
To get the total decimal hours we use the formula: h = hours + (minutes / 60) + (seconds / 3600). To get the total decimal minutes we use the formula: m = (hours * 60) + minutes + (seconds / 60).
The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.
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FIND THE UNIT RATE HELP ITS DUE IN 30 MINUTES
Answer:
The unit rate = 2 dollars / per pineapple
Point A(7, 14) indicates that the value of 14 pineapples is 7 dollars.
Step-by-step explanation:
The unit rate represents the slope of the line.
It means the slope is often termed as a ratio, which could be expressed as a unit rate found at the point on the graph with the given ordered pairs.
Let us take two points that lie on the graph to determine the unit rate (or slope)
(1, 2)(2, 4)unit rate = slope = y₂-y₁ / x₂-x₁
= 4-2 / 2-1
= 2/1
= 2
Thus, the unit rate = 2 dollars / per pineapple
The location of point A is (7, 14)
i.e. A(7, 14)
Point A(7, 14) indicates that the value of 14 pineapples is 7 dollars.How many natural numbers lie between the
sq
uares of 48 and 49 *
Answer: 97
Step-by-step explanation:
Answer:
97 natural numbers
Step-by-step explanation:
[tex]49^2-48^2\\2401-2304=97[/tex]