Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.
Answer:
7?
Step-by-step explanation:
The programs cost the same for 7 classes.
Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.
The first program charges $35 membership fee and $5 for each class.
The second program charges only $10 for each class.
Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,
[tex]t_{1} =35+5c[/tex], here c is the no. of classes.
Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,
[tex]t_{2} =10c[/tex].
We have to find out the no. of classes for which the two programs cost the same.
according to the question,
[tex]t_{1} =t_{2}[/tex]
[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]
Hence for 7 of classes the programs cost the same.
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How many floors have exactly 24 offices?
=============================================================
Explanation:
Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.
More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).
In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.
Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.
Answer:
Enter a problem...
Precalculus Examples
Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0
16
x
2
+
16
y
2
−
16
x
+
24
y
−
3
=
0
Add
3
to both sides of the equation.
16
x
2
+
16
y
2
−
16
x
+
24
y
=
3
Divide both sides of the equation by
16
.
x
2
+
y
2
−
x
+
3
y
2
=
3
16
Complete the square for
x
2
−
x
.
Tap for more steps...
(
x
−
1
2
)
2
−
1
4
Substitute
(
x
−
1
2
)
2
−
1
4
for
x
2
−
x
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
−
1
4
+
y
2
+
3
y
2
=
3
16
Move
−
1
4
to the right side of the equation by adding
1
4
to both sides.
(
x
−
1
2
)
2
+
y
2
+
3
y
2
=
3
16
+
1
4
Complete the square for
y
2
+
3
y
2
.
Tap for more steps...
(
y
+
3
4
)
2
−
9
16
Substitute
(
y
+
3
4
)
2
−
9
16
for
y
2
+
3
y
2
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
−
9
16
=
3
16
+
1
4
Move
−
9
16
to the right side of the equation by adding
9
16
to both sides.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
3
16
+
1
4
+
9
16
Simplify
3
16
+
1
4
+
9
16
.
Tap for more steps...
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
1
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
1
h
=
1
2
k
=
−
3
4
The center of the circle is found at
(
h
,
k
)
.
Center:
(
1
2
,
−
3
4
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
1
2
,
−
3
4
)
Radius:
1
image of graph
Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)
Answer:
EFGH, HFGE, EGFH, HGFE
Step-by-step explanation:
Please find the surface area of the prism... I will mark you brainliest
Answer: 1618 cm^2
The formula to find surface area of a cuboid is 2(ab + bc + ca)
2(19*3.5 + 3.5*33 + 33*19)
--> 1618
A machine takes 15 minutes to scan 1,125 pages. At this rate, how many pages can the machine in a hour?
Answer:
4500 pages
Step-by-step explanation:
an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.
1125*4 =4500 pages/hour
In one hour the machine will scan 4500 pages.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a machine takes 15 minutes to scan 1,125 pages.
The machine takes 15 minutes to scan 1,125 pages.
Then, in 1 minute, it will scan (1125/15) = 75 pages.
So, in 1 hour, it will scan -
x = 75 x 60
x = 4500
Therefore, in one hour the machine will scan 4500 pages.
To solve more questions on algebraic expressions, visit the link below -
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Please answer this question step by step!
No links please.
Whoever gives correct answer will get a thank you aswell.
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
first distribute
[tex] \frac{36x - 9}{2x} = 15[/tex]
next multiply both sides by 2x
[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]
simplify
[tex] - 9 = - 6x[/tex]
divide both sides by -6
[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]
What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.
The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
Recall:
The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given two points:
(5,−10) and ( 11 , − 12 )
Let,[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]
Substitute[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]
Slope (m) = -2/6
Slope (m) = -1/3
Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
Learn more about slope of a line on:
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indentify the range, y=2x + 6
5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer:
One solution
Step-by-step explanation:
First, organize the equations by moving y to the left hand side:
5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x
3y = 2x + 9 is already done
Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:
2y=6-5x multiply both sides by 3, 6y = 18-15x
3y=2x+9 multiply both sides by 2, 6y = 4x+18
Substitute y on both sides and we get 18-15x=4x+18
Simplify that and you get 19x=0, x equals 0, so there is one solution
the sum of -7x and 4x+2
pls help
You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63
4x+3y = 22 (slope intercept forma
Answer:
I am pretty sure it is y=22-4x/3
Step-by-step explanation:
4x+3y=22
(you need to put it in y=mx+b format)
-subtract 4x on both sides-
3y=22-4x
-divide by 3 on both sides-
y=22-4x/3
Not sure if this is correct, but I hope this helps!
If A=2x+10 and B=2x+2 what is the measurement of A
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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Solve.
−1.3=x−(−13.2)
What is the solution to the equation?
Enter your answer in the box.
x =
x= -14.5
Step-by-step explanation:
-1.3=x-(-13.2)
the two - signs cross eachother out, making it a +.
making the equation -1.3=x-(-13.2) turn into -1.3=x+13.2.
so you should automatically know your x is going to have to be negative.
What I did:
13.2+1.3=14.5,
but since the 1.3 was actually negative, (-1.3) the 14.5 will turn negative, making it -14.5
Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?
Answer: Start off and multiply 12x30=360
Step-by-step explanation: He will recieve 360$
Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2. 25? Amount Juno Owed for a Taxi Miles Amount Owed (dollars) 1 2. 5 2 2004. 75 3 7 4 9. 25 5 11. 5 Yes, because the amount owed changes by 1 every time the miles change by 2. 25. Yes, because the amount owed changes by 2. 25 every time the miles change by 1. No, because the amount owed does not change by 1 every time the miles change by 2. 25. No, because the amount owed does not change by 2. 25 every time the miles change by 1.
Linear functions are represented by constant rates.
The true statement is (d) No, because the amount owed does not change by 2.25 every time the miles change by 1.
From the table, we can see that:
As the number of miles increase by 1, the amount owed increases, but it does not increase at a constant rate of 2.25.
This means that, the table does not represent a linear function.
Represent the linear functions at:
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Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
He did not make any errors.
Step 1: He wrote −4.4 incorrectly as + 4.4.
Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.
Step-by-step explanation: First, you use the PEMDAS method which is parenthese, exponent, multiplication division, addition and subtraction.
So, there is parenthese, exponent, multiplaction or division.
Now, first you add -8.3 + 9.2= 0.9, then subtract 0.9 by 4.4= -3.5, now add -3.5 + 3.7= 0.2
Use the original problem and use the PEMDAS method.
Hope this helps!!
Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction
Answer:
x = 600 pages
Step-by-step explanation:
Let the total books pages be x
Given that
Hank had read = 25% of x
25% of x = 150
=>
Multiplying both sides by 4
=> x = 150 * 4
=> x = 600 pages
Step-by-step explanation:
There you go.
Answer:
C
Step-by-step explanation:
r÷st r = 180, s = 5, t = 4
Answer:
[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]
Step by step solution:
r ÷ st 180 ÷ 5 × 4180 ÷ 209-1.3x=3.9
Solve for x
Answer:
x = -3
Step-by-step explanation:
The equation is : -1.3x=3.9
We can divide both sides by -1.3
-1.3x/-1.3=-3.9/-1.3
We get
x=-3
Answer:
x =-3
Step-by-step explanation:
divide -1.3 to both sides
3927283+8093
Help pls
Answer: 3935376
Step-by-step explanation: 3927283+8093
3935376
What two numbers add to -6 and multiple to 6
g(x) = 3x + 1; Find g(7)
Answer:
22
Step-by-step explanation:
g(x) = 3x + 1
g(7) = 3(7) + 1
= 21 + 1
= 22
hope this helps! :D
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Which are the intercepts of the equation y+2=4(x+1) ?
Answer:
y=2×5
Step-by-step explanation:
sorry if im wrong
The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)
Answer: 4/3
Step-by-step explanation:
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
ASAPPPP HELPPPP PLEASEEEE
Answer:
27.6
Step-by-step explanation:
sin29=x/57
0.48480962=x/57
x≈27.6
What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?
Can someone explain and answer this question please... I'm very unsure. please and thankyou
Answer:
Step-by-step explanation: