Answer:
yes
yjnujhhhbhhhjhhbhhbhhhjj
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
Move 2 units up and 5 units left
B' (-4,2)
Answer:
(-9,4)
Step-by-step explanation:
(-4-5,2+2)
Which linear equation is being represented by the graph?
The linear equation that is being represented by the graph is y=-3x +2.
What is linear equation?A linear equation can be described as the equation that has its highest power of the variable as 1 and this is been refereed to as the one-degree equation.
It should be noted that slope, of the the equation is usually in the form y=mx+b where mx is slope, however the linear equation usually have one or two variables and when a variable in a linear equation has a power greater than 1 then it is no more linear.
Therefore, option A is correct.
Learn more about linear equation at:
https://brainly.com/question/4074386
#SPJ1
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.
To know more about an expression follow
https://brainly.com/question/26665749
#SPJ1
Peter is 3/4 as old as June and David is one and a half times as old as Peter how many times as old as June is to David write your answer as a fraction
In fraction, June is 9/8 as old as David.
What is a fraction?
A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction has a numerator above a line and a non-zero denominator below (or after) that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.
The required fraction is (3/4) x (3/2) = 9/8
To know more about fractions, click on the link
https://brainly.com/question/5795192
#SPJ9
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.
Learn more about function here:
https://brainly.com/question/11624077
#SPJ1
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.
To learn more about visit Function problems:
brainly.com/question/20732942
#SPJ1
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
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
Read more about transformation at
https://brainly.com/question/4289712
#SPJ1
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
To learn more about differentiation click on the link below:
https://brainly.com/question/954654
#SPJ1
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
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.
To know more about slope-intercept form visit:
https://brainly.com/question/9682526
#SPJ4
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;
102Learn more about analytical reports here:
https://brainly.com/question/10549036
#SPJ1
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
To learn more about ways, here
https://brainly.com/question/11823283
#SPJ4
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.
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 measures of three angles of a triangle are 3x, x + 30, and x + 40. Find the measure of all three angles.
Answer: 66 degrees for 1st angle
52 degrees for 2nd angle
62 degrees for 3rd angle
Step-by-step explanation:
3x+(x + 30)+(x + 40)=180
3x+x+30+x+40=180
3x+x+x+30+40=180
5x+70=180
5x=110
x=22
3x=
3(22)=66 degrees for 1st angle
x+30=
22+30=52 degrees for 2nd angle
x+40=
22+40=62 degrees for 3rd angle
Answer:
3x=66
x+30=52
x+40=62
66,42,62
Step-by-step explanation:
(3x)+(x+30)+(x+40)=180
5x+70=180
5x=110
x=22
3x=66
x+30=52
x+40=62
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.
Know more about Ratios here:
https://brainly.com/question/2328454
#SPJ4
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:
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.
To know more about perimeter Visit:
https://brainly.com/question/6465134
#SPJ1
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
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! :)
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]
the sum of the measures of the angles of a triangle is 180. the sum of the measures of the second and third angles is four times the measure of the first angle. the third angle is 22 more than the second. find the measure of the three angles. let x, y and z represent the measures of the first, second, and third angles, respectively. find the measure of the three angles
Answer:
x= 36 y= 67 and z=77
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180
can be written as x+y+z=180
The sum of the measures of the second and third angles is four times the measure of the first angle.
It can be written by: x+y=4z
The third angle is 10 more than the second
It can be written as z=y+10
By solving the equations systems the above values can be determined.
x+y+z=180
x+y=4z
z=y+10
a. What is an equation of the parabola with vertex (0,0) and focus (0,-1.5) ?
A parabola having vertex at the origin and focus at (0, -1.5) is expressed by the following equation:
y = -x²/6
What is a parabolic function?A parabolic function is one that has a quadratic variable, its shape is defined by the intersection of an inclined plane whose angle of inclination with respect to the axis of revolution of the cone is equal to that presented by its generatrix.
Since the vertex and the focal axis are on the same axis, we analyze that:
v = (0, 0)f = (0, -1.5) focus is on the negative part of the y-axis.(x - 0)² = 4p(y - 0)
Focus
f = (0, 0 + p)
0 + p = -1.5
p = 0 -1.5
p = -1.5
(x - 0)² = 4*(-1.5)(y - 0)
(x)² = -6(y)
y = -x²/6
Learn more about parabolas in:
brainly.com/question/28586996
#SPJ4
Solve each equation or inequality.
19+|x-1|=33
After solving the equation the value of x is -23, 25 in the equation 19+|x-1|=33
How to solve an equation?
To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
⇒ 9+|x-1| = 33
For positive case
⇒ 9+|x-1| = 33
⇒ (x-1) = 33 - 9
⇒ x - 1 = 24
⇒ x = 25
For negative case
⇒9+|x-1| = 33
⇒ -(x-1) = 33 - 9
⇒ -x + 1 = 24
⇒ - x = 23
⇒ x = -23
Learn more about linear equations
brainly.com/question/14323743
#SPJ4
PQ has endpoints P(5, -3) and Q(2, 4).
Midpoint:
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.
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.
To learn more about the diameter refer to:
https://brainly.com/question/23220731
#SPJ4
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.
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
Learn more about the equation here:
brainly.com/question/10413253
#SPJ1
Write an equation in standard form for the line that is perpendicular to the
graph of 1/5x + 2/5y = 0.05 and has y-intercept -0.5.
first look at the equation you’re given. It’s in y-intercept form. The slope is 5.
A line perpendicular to it has a slope that is the opposite reciprocal, -1/5. You are told that the y-intercept of the line is 4, so the equation for the Since the slope of the line is -1/5, and the y-intercept is 4, the equation of the line is,
y = (-1/5)x + 4
Multiply both sides by 5 and put into standard form,
x + 5y = 20line in y-intercept form is y= -1/5x+4
When we have a linear equation in standard form, we can find the x- and y-intercepts of the corresponding line. This also allows us to graph it.
To learn more about linear equation
visit-:https://brainly.com/question/11897796
#SPJ9
Given: AB CD
CF EB
Prove: AE FD
Proof:
AB CD
given
AB=CD
definition of
congruent segments
AE+EB-CFFD
segment addition
AE-FD
AE=FD
definition of
congruent segments
AB AE+EB
CD-CF FO
segment addition
CF = EB
given
CF EB
defation of
congruent segments
9
What is the missing reason in the proof?
OA segment addition
OB.
Congruent Segments Theorem
OC.
Transitive Property of Equality
OD. Subtraction Property of Equality
The figure have AE = FD
given,
AB =CD
AB = AE + EB
CD = CF + FD
AE + EB = CF + FD
CF = EB given,
AE = FD
if the triangle ABC and triangle DEF are identical. More specifically their side lengths and their angle measures are all the same, therefore we can consider them congruent figures. And that's exactly how you prove two figures are congruent by matching their corresponding parts.
SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side).
Triangles that have exactly the same size and shape are called congruent triangles.
Identifying Congruent Figures in the Real World
Two figures are congruent if and only if they have the exact same shape and the exact same size.2.If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.
They are the same shape but not the same size. Non-congruent rectangles. These two polygons have matching sides equal but their matching angles are not equal and so they are not congruent. They are different shapes even though the sides are the same size.
to know more about angles ;
visit; brainly.com/question/17581080
#SPJ9
