Assembly Line A produces 45 units in the same time that it takes Assembly Line B to produce 37 units. If Line B produces 555 units, how many units does Line A produce during the same time?
Assembly Line A will produce 24975 units during the same time that Line B produces 555 units.
Explanation:Let's assume that the time it takes for Assembly Line A to produce 45 units is equal to the time it takes for Assembly Line B to produce 37 units. This means that the time it takes for Line A to produce 1 unit is equal to the time it takes for Line B to produce 1 unit.
Now, we can set up a proportion to find how many units Line A will produce during the same time that Line B produces 555 units:
45 units / 1 unit = x units / 555 units
Cross-multiplying, we get:
45 * 555 = x units * 1
x units = 24975 units
Therefore, Line A will produce 24975 units during the same time that Line B produces 555 units.
The graph of g(x) is the graph of f(x)=12x+6 compressed vertically by a factor of 13 .
Which equation describes the function g?
g(x)=12x+2
g(x)=4x+6
g(x)=4x+2
g(x)=36x+6
In 2009, the world's largest pumpkin weighed 1,725 kilograms. An average-sized pumpkin weighs 5,000 grams.
The 2009 world-record pumpkin weighs _____ kilograms more than an average-sized pumpkin. (Write your answer as a numeral.)
Answer:
The 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.
Step-by-step explanation:
In 2009, the world's largest pumpkin weighed 1,725 kilograms.
An average-sized pumpkin weighs 5,000 grams.
As the answer is needed in kilograms, we will convert 5000 grams in kilograms.
1 gram = 0.001 kilogram
So, 5000 grams = [tex]5000\times0.001[/tex] =5 kilograms.
Difference between weigh = [tex]1725-5=1720[/tex] kilograms
So, the 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.
The volume of wax used in making a cylindrical candle is given by the formula v=nr2h what is the height of the candle in terms of the volume and radius?
Please help with these two questions thank you.
find x and y
x+y=5
x=y+7
1st equation: x +y =5
2nd equation: x = y +7
replace x in 1st with 2nd
y +7 +y =5
2y+7 =5
2y =-2
y = -1
now replace y in 2nd with -1
x = -1 +7
x = 6
answer:
x = 6
y = -1
There are 5,280 feet in 1 mile. If Riley ran 26,400 feet, how many miles did she run? [Type your answer as a number.]
Answer:
She ran 5 miles
Step-by-step explanation:
To solve this, we can easily use proportion.
The question state that there are 5,280 feet in a mile, We are ask to find the number of miles Rily run, if she ran 26,400 feet.
Using proportion;
Let x = the number of miles Rily can run
5,280 feet = 1 mile
26,400 feet = x
Cross-multiply
5280x = 26,400
To get the value of x, we will divide both-side of the equation by 5280
5280x/5280 = 26400/5280
(On the left-hand side of the equation, 5280 will cancel-out 5280 leaving us with x and on the right-hand side of the equation 26400 will divide 5280)
x = 26400 / 5280
x=5 mile
Therefore, If Rily ran 26400 feet, then she has ran 5 miles.
solve for the variable r in this equation.
[tex] s=2 \pi rh[/tex]
Please and thanks! Also, it would help if you explained how you got your answer! (: ^-^
The _____ ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.
The scale ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.
The ratio you're referring to is called the scale factor. The scale factor is the ratio of the length of one side of a polygon to the length of the corresponding side of a similar polygon. Let's denote this scale factor as ( k ).
To calculate the scale factor, you need to choose corresponding sides from the two similar polygons. Once you've chosen a pair of corresponding sides, divide the length of one side by the length of the corresponding side from the other polygon.
Let's say we have two similar polygons, Polygon A and Polygon B, and we want to find the scale factor between them. Let's denote the length of a side of Polygon A as [tex]\( L_A \)[/tex] and the length of the corresponding side of Polygon B as [tex]\( L_B \)[/tex]. Then, the scale factor, ( k ), is given by:
[tex]\[ k = \frac{L_A}{L_B} \][/tex]
This ratio will give you the scale factor between the two polygons.
My number is a multiple of 2 & 7 my number is less than 100 but greater than 50 my number is the product of three prime numbers what number am i?
if a triangle has one right angle then the other two angles are complementary
Simplify the product.
8x2(4x2 + 4y6)
a. 32x4 + 32x2y6
b. 12x4 + 12x2y6
c. 32x4 + 32xy8
d.12x4 + 12x2y6
Answer:
A
Step-by-step explanation:
The table shows the number of minutes Jalen talks on his mobile phone and the cost of the phone calls. Jalen’s Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?
Answer:
[tex]y=0.05x[/tex]
Step-by-step explanation:
Given :
x Cost, y
150 $7.50
220 $11.00
250 $12.50
275 $13.75
To Find: If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?
Solution:
To find equation we will use two point slope form.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(150,7.50)[/tex]
[tex](x_2,y_2)=(220,11.00)[/tex]
Substitute the values in the formula.
[tex]y-7.50=\frac{11-7.5}{220-150}(x-150)[/tex]
[tex]y-7.50=0.05(x-150)[/tex]
[tex]y-7.50=0.05x-7.50[/tex]
[tex]y=0.05x[/tex]
Hence the equation which represents the variation is [tex]y=0.05x[/tex]
Find the value of m angle 3-m<1
Answer:
The value of [tex]m\angle 3-m\angle 1[/tex] = [tex]50^{\circ}[/tex]
Step-by-step explanation:
Vertical Angle theorem: It is about the angles that are opposite to each other.
Also, vertical angle are congruent that means vertical angles are equal.
In the given figure; [tex]m\angle 3[/tex] and [tex]70^{\circ}[/tex] are vertical angle
then, by vertical angle theorem, [tex]m\angle3 =70^{\circ}[/tex].
Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.
From the figure, [tex]70^{\circ}[/tex] , [tex]\angle 1[/tex] and [tex]m\angle 2 =90^{\circ}[/tex] forms a straight line.
then, by the definition of Supplementary angle;
[tex]70^{\circ}+m\angle 1 +m\angle 2=180^{\circ}[/tex]
Substituting the value of [tex]m\angle 2 =90^{\circ}[/tex] in above equation:
[tex]70^{\circ}+m\angle 1 + 90^{\circ} =180^{\circ}[/tex] or
[tex]160^{\circ}+m\angle 1=180^{\circ}[/tex]
Simplify:
[tex]m\angle 1=180^{\circ}-160^{\circ} =20^{\circ}[/tex]
therefore, [tex]m\angle 1= 20^{\circ}[/tex] and [tex]m\angle 3=70^{\circ}[/tex],
the value of [tex]m\angle3-m\angle1= 70^{\circ}-20^{\circ} =50^{\circ}[/tex].
Find measure of angle d A. 122 degrees B. 61 degrees C. 238 degrees D. Not enough information
Answer:
B. [tex]61^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a quadrilateral. We are asked to find the measure of angle D.
We can see that angle A and angle D are equal, so we can represent measure of both angles as [tex]2D[/tex].
We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:
[tex]2D+98^{\circ}+140^{\circ}=360^{\circ}[/tex]
[tex]2D+238^{\circ}=360^{\circ}[/tex]
[tex]2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}[/tex]
[tex]2D=122^{\circ}[/tex]
[tex]\frac{2D}{2}=\frac{122^{\circ}}{2}[/tex]
[tex]D=61^{\circ}[/tex]
Therefore, the measure of angle D is 61 degrees and option B is the correct choice.
How many watches must he repair to have the lowest cost?
the equation 5x+4y=20 represents a linear function in two variables. Identify the slope, x-intercept and y-intercept of this linear function
what is the value of the function f(x)=1/4x-3 when x=12
6
1
0
-6
ruby is visiting San Francisco. From her hotel she walks 1 block west ans 4 blocks south to a coffee shop. Then she walks 5 blocks east and 6 blocks south to a museum. Where is the museum in relation to her hotel
Answer:
The museum is 4 blocks east and 10 blocks south from her hotel.
Step-by-step explanation:
It is given that ruby is visiting San Francisco. From her hotel she walks:
(a) 1 block west and 4 blocks south to a coffee shop.
(b) Then she walks 5 blocks east and 6 blocks south to a museum.
First she moves 1 block west and 4 blocks south and reached at point B. After that she walks 5 blocks east and 6 blocks south and reached at point D.
From the below figure it is noticed that point D is 4 blocks east and 10 blocks south from the origin because
[tex]South=4+6=10[/tex]
[tex]East=5-1=4[/tex]
Therefore the museum is 4 blocks east and 10 blocks south from her hotel.
Which can be a next step in the construction of an angle with a side on line l that is congruent to ∠ABC?
To construct an angle with a side on line l that is congruent to ∠ABC, follow these steps: Draw line l, measure ∠ABC, draw a ray from line l with the same angle, label the intersection point as B, and segment AB is congruent to side AC.
To construct an angle with a side on line l that is congruent to ∠ABC, you can follow these steps:
Draw line l.
Use a protractor to measure ∠ABC.
Draw a ray from line l, starting at point A and making the same angle as ∠ABC.
Label the point where the ray intersects line l as B.
Now, segment AB is congruent to side AC of ∠ABC.
Graph the equation
Do number 25,26,27
If there are 365 days in a non-leap year, what number is christmas day?
A total of 900 tickets were sold for a game for a total of $1,150. if adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?
What is the equation for a circle centered at the origin
Answer: The equation of the circle is [tex]x^2+y^2=r^2.[/tex]
Step-by-step explanation: We are given to write the equation of a circle centered at the origin.
We know that the standard equation of a circle with center at the point (g, h) and radius 'r' units is given by
[tex](x-g)^2+(y-h)^2=r^2~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The co-ordinates of the origin are (0, 0).
So, if the center of the circle is at the origin, then we have
(g, h) = (0, 0).
Therefore, from equation (i), we have
[tex](x-0)^2+(y-0)^2=r^2\\\\\Rightarrow x^2+y^2=r^2.[/tex]
Thus, the required equation of the circle is [tex]x^2+y^2=r^2.[/tex]
A person has two times as many nickels as quarters. if the total face value of these coins is $4.55, how many of each type of coin does this person have?
How do I solve for x within a triangle?
The sum of twice a number and four is fourteen. find the number.
2x +4 =14
2x =10
x =5
the number is 5
Which set represents the range of the function shown?
{(-1,5),(2,8),(5,3),(13,-4)}
A- {-1,2,5,13}
B-{-4,3,5,8}
C- {(5,-1),(8,2),(3,5),(-4,13)}
D-{-4,-1,2,3,5,5,8,13}
Answer:
B. {-4,3,5,8}
Step-by-step explanation:
We are given,
The set representing the function is {(-1,5),(2,8),(5,3),(13,-4)}.
It is required to find the range set of the function.
Now, as we know,
In the ordered pair [tex](x,y)[/tex], the y co-ordinate 'y' represents the range values of a function.
So, we see that,
The range values of the given function are 5, 8, 3 and -4.
Thus, the set representing the range of the function is {-4,3,5,8}.
There is a step missing from the solution below. Which equation is the missing step?
P=17-√0.025x+7
25=17-√0.025x+7
8=-√0.025x+7
?
57=0.025x
2280= x
A. 64=0.025x+49
B. 8=0.025x+7
C. -8= √0.025x+7
D. 64=0.025x+7
Answer:
option: D is the correct answer.
( D. 64=0.025 x+7 )
Step-by-step explanation:
We are given step as:
[tex]P=17-\sqrt{0.025x+7}\\\\25=17-\sqrt{0.025x+7}\\\\8=-\sqrt{0.025x+7}------(1)[/tex]
?
57=0.025x
-----------(2)
2280= x.
We are asked to find the missing step.
Clearly after equation (1)
They have squared the equation both side to obtain:
[tex]64=0.025x+7[/tex]
and then they took the constant term to the left hand side to obtain equation (2).
[tex]64-7=0.025x\\\\57=0.025x[/tex]
Hence, the correct option is:
Option: D
D. 64=0.025 x+7
Answer: 64=0.025x+7
Step-by-step explanation:
a p e x
Solve the inequality -24<×-3-8×