A scale drawing of a school bus has a scale of ; inch to 6 feet. If the length of the school bus is 4, inches on the scale drawing, what'is the actual length of the bus?
PQ has endpoints P(5, -3) and Q(2, 4).
Midpoint:
I need help with this ASSAP, it’s about math please help
72/6=12
that means every tutor would have 12 students. if the academy has 120 students then we divide 120 by 12 to get 10. That means the academy needs 10 tutors.
the cost of 5 pens and 3 rulers is 90p
the cost of 2 pens and 1 ruler is 33p
What is the cost of 3 pens and 2 rulers
The cost of 3 pens will be 27P and the cost of 2 rulers will be 30p.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the cost of 5 pens and 3 rulers is 90p the cost of 2 pens and 1 ruler is 33p. the cost of 3 pens and 2 rulers will be calculated as below:-
From the equations and solve:-
5p + 3r = 90p
2p + r = 33p
5p + 3r = 90p
-6p - 3r = -99p
Cost of one pen P = 9
The cost of the 1 ruler:-
2p + r = 33p
2 x 9 + r = 33
18 + r = 33
r = 33 - 18
r = 15
Cost of 3 pens = 3 x 9 = 27
Cost of 2 rulers = 2 x 15 = 30
Therefore, the cost of 3 pens will be 27P and the cost of 2 rulers will be 30p.
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help please i really need to get this done
Answer:
C. The classmate was supposed to multiply the exponents.
Step-by-step explanation:
[tex] { ({2}^{3}) }^{2} = {2}^{6} = 64[/tex]
Answer:
C
Step-by-step explanation:
your classmate multiplied the exponenets
What is the inverse of f(x) =4x + 5?
Answer:[tex]x= \frac{f (x) - 5}{4}[/tex]
Step-by-step explanation:
f(x) = 4x+5
- 5 for both
f(x) - 5 = 4x+5 -5
4x = f (x) - 5
divided 4 for both
(4x)/4 = (f (x) - 5) / 4
[tex]x= \frac{f (x) - 5}{4}[/tex]
If the average metabolic rate of a pigeon is 3 j/s and that of a goose is 12 j/s, what is the ratio of the pigeon's aorta radius to that of the goose?
1:4 is the ratio of the pigeon's aorta radius to that of the goose.
What do we mean by Ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). Similarly, the proportion of lemons to oranges is 6:8 (or 3:4), and the proportion of oranges to total fruit is 8:14. (or 4:7).A ratio's numbers can be any quantity, such as a count of people or objects, or measurements of lengths, weights, time, and so on. In most situations, both numbers must be positive.So,
The ratio will be 3:12.Canceling it to the simplest form:
3/12 = 1/4So, the ratio is 1:4.
Therefore, 1:4 is the ratio of the pigeon's aorta radius to that of the goose.
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Simplify each sum or difference. State any restrictions on the variables.
m / 3m + 6 - 4m / m + 2
The simplification of each sum or difference of given expression [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex] is equal to (-11m)/ 3(m+2). Restriction on the variables is given by m ≠ -2.
As given in the question,
Given expression is [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex]
Simplify the expression by taking the least common multiple
[tex]\frac{m}{3m+6}- \frac{4m}{m+2}\\\\= \frac{m}{3(m+2)}- \frac{4m}{m+2}\\\\= \frac{m -12m}{3(m+2)}\\ \\= \frac{-11m}{3(m+2)}[/tex]
Restriction on the variables is given by m ≠ -2.
Therefore, the simplification of each sum or difference of given expression [tex]\frac{m}{3m+6}- \frac{4m}{m+2}[/tex] is equal to (-11m)/ 3(m+2). Restriction on the variables is given by m ≠ -2.
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Move 2 units up and 5 units left
B' (-4,2)
Answer:
(-9,4)
Step-by-step explanation:
(-4-5,2+2)
Christina bought 1and4 of 1and2 of pizza how much pizza did Christina buy how much did she pay
The cost of the pizzas that Christina bought will be $4.30.
How to calculate the value?From the information, The cost of a large pizza is $0.90 and the cost of a small pizza is $0.70. Christina bought 4 large pizzas and 1 small pizza.
The number of pizzas will be:
= 4 + 1
= 5 pizzas
The cost will be:
= 4($0.90) + 1($0.70)
= $3.60 + $0.70
= $4.30
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The cost of a large pizza is $0.90 and the cost of a small pizza is $0.70. Christina bought 4 large pizzas and 1 small pizza. How much pizza did Christina buy how much did she pay?
A car's velocity is modeled by vt) = 0.57 - 14+ + 80 for 0 S ts 14, where the velocity is in feet per second and time is in seconds. When does the car come
to a complete stop?
The car comes to a complete stop when t = 14secs.
What is velocity ?
Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. Put another way, speed is a scalar value, while velocity is a vector.
Given:
velocity v(t) = 0.5t^2 – 14t + 80
Differentiating the equation with respect to t to get the velocity,
we get ,
dv/dt = 2 x .05t - 14
when the car stops the velocity becomes 0.
Therefore,
2 x .05t - 14= 0
=> t = 14 secs
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Question:
A car's velocity is modeled by v(t) = 0.5t2 – 14t + 80 for 0 ≤ t ≤ 14, where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop?
20 seconds
14 seconds
8 seconds
4 seconds
Refer to ®F .
If C F=14 inches, what is the diameter of the circle?
A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle.
The diameter of the circle is 28 inches.
What is meant by diameter?In geometry, a circle's diameter is any straight line segment that passes through the center of the circle and has endpoints on the circle. It is also referred to as the circle's longest chord. Both definitions apply to a sphere's diameter.
The diameter is twice the radius because the greatest distance between two points on a circle must be a line segment through the center of the circle.
Here, CF is a radius and the diameter is twice the radius.
Diameter of a circle = 2r
d = 2r
Where, r = 14
Diameter of a circle, d = 2r
Diameter of a circle = 2(14)
Diameter of a circle = 28
Therefore, the diameter of the circle is 28 inches.
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Maya bought 3 chicken wings for $8.80. If Maya spent $25.30, how many chicken wings did she buy?
Answer:
She bought 8.625 wings
Step-by-step explanation:
We can use a ratio to solve
3 x
------- = ----------
8.80 25.30
Using cross products
3 * 25.30 = 8.80x
75.9 = 8.80x
Divide each side by 8.8
75.9/8.8 = 8.8x/8.8
8.625 = x
She bought 8.625 wings
Write an equation in slope-intercept form for each line.
(-4,-1) and (-8,-5)
For each line, an equation in slope-intercept form :
y = (-1/4)x - 2 .
What does intercept mean in terms of slope?Summary of the lesson. The slope-intercept form is just a means of stating a line's equation so that the slope (steepness), as well as y-intercept (where the line crosses the vertical y-axis), as well as y-intercept (where the line crosses the vertical y-axis), are obvious. This form is also known as the y = MX + b form.
In a graph, what are slope as well as intercept?The slope, m, of a line represents its steepness. The slope of something like the line is however termed a gradient, sometimes. A line's y-intercept, b, represents the y-coordinate of something like the point where the line's graph intersects the y-axis.
According to the given data:To begin, use the slope formula to determine the average slope here between two points.
m = (y2-y1)/(x2-x1)
= (-1 - (-4))/ (-4-8)
= 3/(-12)
= -1/4
So the slope is -1/4.
We must now determine the y-intercept. This will be accomplished by converting a single of the points and indeed the slope through into point-slope form of something like a linear equation, which is y2-y1 = m(x2-x1).
Let’s plug in the point (8,-4).
So we get y-(-4) = (-1/4)(x-8) ⇒ y+4
= (-1/4)x + 2 ⇒ y
= (-1/4)x - 2.
So y = (-1/4)x - 2
For each line, write an equation in slope-intercept form y = (-1/4)x - 2.
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a)
If a square has a perimeter of 36 cm,
how long is each side of the square?
b) The following shape is made by cutting an
equilateral triangle from a rectangle.
Find its perimeter.
7.2 cm
13 cm
a) Each side of the square is 9 cm long. b) The perimeter of the shape is 18 cm.
What is perimeter?Perimeter refers to the total length of the boundary or outer edge of a two-dimensional shape.
a) The perimeter of a square is the sum of the lengths of all its sides. Since all sides of a square are equal, we can divide the perimeter by the number of sides to find the length of one side:
Perimeter of square = 4 x Length of one side
36 cm = 4 x Length of one side
Divide both sides by 4:
Length of one side = 36 cm / 4 = 9 cm
Therefore, each side of the square is 9 cm long.
b) To find the perimeter of the shape made by cutting an equilateral triangle from a rectangle, we need to add up the lengths of all its sides.
The length of the rectangle is equal to the length of the base of the equilateral triangle plus the length of one of its sides. Since the equilateral triangle has all sides equal, we can find its length by dividing the length of the rectangle by 2:
Length of equilateral triangle = Length of rectangle / 2
Length of equilateral triangle = 7.2 cm / 2 = 3.6 cm
The perimeter of the equilateral triangle is three times its side length:
Perimeter of equilateral triangle = 3 x Length of one side
Perimeter of equilateral triangle = 3 x 3.6 cm = 10.8 cm
The perimeter of the shape is the sum of the length of all its sides, which is the sum of the length of the rectangle and the perimeter of the equilateral triangle:
Perimeter of shape = Length of rectangle + Perimeter of equilateral triangle
Perimeter of shape = 7.2 cm + 10.8 cm = 18 cm
Therefore, the perimeter of the shape is 18 cm.
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a) If a square has a perimeter of 36 cm, how long is each side of the square?
b) The following shape is made by cutting an equilateral triangle from a rectangle. Find its perimeter.
7.2 cm
13 cm
18 cm
23 cm
Write a function $g$g whose graph represents a translation 5 units up of the graph of $f\left(x\right)=3x$f(x)=3x .
The graph when translated 5 units up is g(x) = 3x + 5.
Consider a parent function f(x),
When translating a function up or down by a value (say b), you let g(x) = f(x) + b
If b is positive your graph is translated up, if b is negative your graph is translated down.
When translating a function to the right or left by a value (say a) you let g(x) = f( x + a).
If a is positive your graph is translated to the left, if a is negative your graph is translated to the right.
Therefore, the function g(x) when the graph of the function f(c) = 3x is translated 5 units upwards will be:
g(x) = f(x) + 5
g(x) = 3x + 5
The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.
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When the graph of f(x) is translated five units up, the function g(x) becomes g(x) = 3x + 5.
Given function is , f(x) = 3x
We can get,
f(1) = 3(1) =3
f(2) = 3(2) = 6
f(3) = 3(3) = 9
f(0) = 3(0) = 0
f(-1) = 3(-1) = -3
f(-2) = 3(-2) = -6
x 1 2 3 0 -1 -2
f(x) 3 6 9 0 -3 -6
Let us assume, new function is g(x)
Think about the parent function f. (x),
If you want to scale a function up or down by a certain amount, let g(x) = f(x) + b.
Your graph is translated upward if b is positive and downward if b is negative.
Let g(x) Equal f(x + a) when moving a function to the right or left by a certain amount (let's say a).
Your graph will be translated to the left if an is positive and to the right if an is negative.
As a result, when the graph of the function f(c) = 3x is translated 5 units upward, the function g(x) will be as follows:
g(x) = f(x) + 5 (because 5 units up)
We can substitute f(x) value,
g(x) = 3x + 5
Therefore,
The function g(x) when the graph of f(x) is translated 5 units up is g(x) = 3x + 5.
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Which orders have different information between the reports? select all that apply. 101 102 103
The order number that conveys a different information between the two analytical reports presented in tabular form is Order 102
How to find the difference between the reports?
The report that accompanies a similar question consists of two tabular forms of (analytical) reports, as follows;
Report 1.
Order. Stock # Qty
101. 27–671. 1
102. 27–781. 2
103. 27–090. 3
Report 2.
Order. Stock # Qty
101. 27–671. 1
102. 27–783. 2
103. 27–090. 3
From the above reports, by examination, we have at order 102
Stock number (Stock #) for Order 102 in Report 1 = 27–781
Stock number (Stock #) for Order 102 in Report 2 = 27–783
Therefore;
The order(s) that have (has) a different information between the reports is; Order 102
The correct option is therefore;
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I need help with this ASSAP, it’s about math please help
Answer: 10 tutors
Step-by-step explanation:
Make the proportion:
72 students - 6 tutors
120 students - x tutors
Hence,
[tex]\displaystyle\\x=\frac{(120)(6)}{72} \\\\x=\frac{720}{72} \\\\x=\frac{(72)(10)}{72}\\\\ x=10\ tutors[/tex]
Identify another name for a reciprocal
Answer:
inverse
In math, a reciprocal is also called an inverse.
Step-by-step explanation:
Answer:
A correlative is another name for a reciprocal.
Correlative:
A degree into which 2 or more values are associated.
Line graphs that indicate time along the x-axis can be used to predict what would happen to dependent variables in an experiment at a later point in time
only if the existing line shows an upward trend.
only if the existing line shows a downward trend.
if a new variable was introduced to the experiment.
if the experiment continued under the same conditions.
Answer:
if the experiment continued under the same conditions.
Answer: if the experiment continued under the same conditions.
Step-by-step explanation:E2022
Choose the answer below that expresses .74 as a fraction.
A
B
с
D
74
1,000
74
74
100
10
Answer:
74/100
37/50 (this is the answer if 74/100 is simplified)
Hope this helps :)
Explanation right below.
Step-by-step explanation:
The 4 in 0.74 ends in the hundredths place, so 74 will be put over 100 in a fraction to get 74/100. If 74/100 needs to be simplified then divide the numerator and denominator by 2 to get 37/50.
The price of candy is 36 cents for 4 ounces.
How much will 1.5 pounds cost?
The answer should be $2.16.
Explanation:
1.5 pounds is 24 ounces
24 divided by 4 = 6
So, 0.36 x 6 = $2.16
---------------------------------------------------------
Hope this helps!
Have a great day and God bless! :)
Write a recursive formula for each sequence. 1,4,9,16, . . . . . . .
The recursive formula for sequence 1,4,9,16, . . . is a(n) = 2 a(n-1) - a(n-2) + 2
The recursive formula of a sequence is a formula that relates the nth term of the sequence with the preceding term(s), (n-1)th, (n-2)th, and so on.
The given sequence is: 1,4,9,16, . . .
So, we must ask ourselves:
How can we get 4 from 1?
How can we get 9 from 4 and 1?
and so on.
Notice that:
4 = 1 + 3
9 = 4 + 5
16 = 9 + 7
Notice that the differences (3, 5, 7) increase by 2.
Therefore, we can write:
4 = 1 + 3
= 1 + (1 - 0) + 2
9 = 4 + (4 - 1) + 2 (9 is a(3), and 4 is a(2))
a(3) = a(2) + a(2) - a(1) + 2
= 2 a(2) - a(1) + 2
16 = 9 + (9 - 4) + 2
a(4) = a(3) + a(3) -a(2) + 2
a(4) = 2 a(3) - a(2) + 2
Continue this process, we get:
a(n) = 2 a(n-1) - a(n-2) + 2
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Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point.
The description of the transformation that occurs to any given point is a 4 unit left translation and 8 units up translation
How to describe what transformation occurs to any given point?The rule is given as
(x,y) --> (x-4, y+8)
The above rule represents a translation transformation
This is evident because it has the format
(x,y) --> (x + h, y + k)
By comparison, we have
h = -4
k = 8
This represents a 4 unit left translation and 8 units up translation
Hence, the description of the transformation that occurs to any given point is a 4 unit left translation and 8 units up translation
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This is easy but I can't find out exact answer.Plss,answer to just (b)
I've so hurry,pls help in a little time.
Answer:
Hello,
1/37
Step-by-step explanation:
Explanation on the picture
how do you solve 13=-2(y-4)+3y in three different ways?
The required three ways of solutions are,
1 - Transposition left to right
2- Property of equality
3 - Transposition right to left
Here,
Given expression,
13=-2(y-4)+3y
Approach 1,
13 = -2 (y - 4) + 3y
13 = -2y + 8 + 3y
13 = y + 8
13 - 8 = y
5 = y
Approach 2
13 = -2 (y - 4) + 3y
13 - 3y = -2y + 8
Adding 3y both side
13 - y = +8
Subtracting 13 on both sides
-y = -5
Multiplying by -1 on both sides
y = 5
Approach 3
13 = -2 (y - 4) + 3y
transposition of the variable to the left and contents to the right
2(y - 4) - 3y = -13
2y - 8 -3y = -13
-y -8 = -13
-y = -13 + 8
-y = -5
y = 5
Thus, the required three ways of solutions are,
1 - Transposition left to right
2- Property of equality
3 - Transposition right to left
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There are four buildings on the Mansfield High School Campus, no three of which stand in a straight line. How many sidewalks need to be built so that each building is directly connected to every other building?
There will be total 6 pathways to directly connect to every other building
It is given that,
There are four buildings on the Mansfield High School Campus with a condition that none of the three can stand in straight line.
We need to find,
The total number of ways through which all the four buildings can be directly connected with each other in such a way that none can stand in straight line
Firstly, Let us consider that the buildings are arranged on the corner points of an imaginary square.
Then the number of ways through which all four buildings can be directly connected is by going straight from one building to other by following the imaginary square boundary lines = 4
the number of ways through which all four buildings can be directly connected is by going diagonally from one building to other by following the diagonal of the imaginary square = 2
Hence, The total number of pathways to directly connect to every other building = 4 +2 = 6
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Solve negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity.
two thirds
18 over 54
negative two ninths
negative two and 42 over 54
The value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9
How to solve the expression?The expression is given as:
negative one sixth times the quantity 3 minus 15 times the quantity one third squared
Rewrite the above expression properly as
-1/6(3 - 15) * (1/3)^2
Evaluate the square in the above expression
-1/6(3 - 15) * 1/9
Evaluate the difference in the above expression
-1/6 * - 12 * 1/9
Evaluate the product in the above expression
2/9
Hence, the value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9
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Answer:
The value of the expression given as negative one sixth times the quantity 3 minus 15 times the quantity one third squared is 2/9
Write 2% as a decimal (not as a percentage).
Answer: 2 1/2 as a decimal is 2.5
2 as a decimal is 0.02
Step-by-step explanation:
El mayor de dos números es 1 menos que 3 veces el número menor. La suma de los dos números es 35. ¿Cuál es el número mayor?
Answer:
26.5
Step-by-step explanation:
Planteamiento:
a - 1 = 3b
a + b = 35
Desarrollo:
de la primer ecuación del planteamiento:
a = 3b + 1
sustituyendo este último valor en la segunda ecuación del planteamiento:
(3b+1) + b = 35
4b = 35 - 1
4b = 34
b = 34/4
b = 8.5
de la segunda ecuación del planteamiento:
a + 8.5 = 35
a = 35 - 8.5
a = 26.5
Comprobación:
de la primer ecuación del planteamiento:
a - 1 = 3b
26.5 - 1 = 3*8.5
25.5 = 25.5
Respuesta:
ya que:
26.5>8.5
El número mayor es:
26.5
help me with this please: 5a^2 if a=2 and b=6
======================================================
Work Shown:
5a^2
5(2)^2
5(4)
20
Explanation:
I replaced 'a' with 2, since a = 2. Then use PEMDAS to simplify the expression into one single number at the end. The value b = 6 won't be used at all since b is not found anywhere in the original expression.
Answer:
5a² = 20
Step-by-step explanation:
Given expression,
→ 5a²
Now we have to,
→ Evaluate the given expression.
We have to use,
→ a = 2
→ b = 6
Let's evaluate the expression,
→ 5a²
→ 5 × (a)²
→ 5 × (2)²
→ 5 × 4
→ 20 => {solution}
Therefore, the answer is 20.
