Answer:
s = 4t
Step-by-step explanation:
Let number of shoelace produced be S and time taken to produce then be T
If the number of shoelaces it produces is proportional to the time, this can be expressed using a direct relationship as:
S∝T
S = kT where
k is the proportionality constant
If 12 laces of shoes can be produced in 3 minutes, then S = 12 and T = 3
The relationship above on substitution becomes
12 = 3k
k = 12/3
k = 4
If the proportionality constant is 4, then the equation representing the relationship will be:
s = 4t
please mark me brainliest!
Answer: y = 4x (y = shoelaces & x = minutes)
Step-by-step explanation: We know that 12 shoelaces are produced in 3 minutes and that the ratio of shoelaces produced to minutes spent is proportional. We can figure out, therefore, that if you multiply the number of minutes by 4, you will get the number of shoelaces. As an equation, this would be y = 4x (y = shoelaces & x = minutes).
Factor completely 3x4 − 48
Answer:
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]Step-by-step explanation:
[tex] 3{x}^{4} - 48[/tex]
Factor out 3 from the expression:
[tex]3( {x}^{4} - 16)[/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression
[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]
[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]
Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
3(x − 2)(x + 2)(x2 + 4)
Step-by-step explanation:
Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.
At a certain time of day, a 40-foot building casts a 8 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 6 feet C. 8 feet D. 10 feet
Answer:
D. 10 feet
Step-by-step explanation:
40/8 = x/2 --> cross multiply
8x = 80
x = 10
Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.
We need to find how tall is a person who casts a 2 foot shadow.
Let x be the height of the person.
Let us form a proportional equation
40/8=x/2
Apply cross multiplication
80=8x
Divide both sides by 8
x=10
Hence, the person who casts a 2 foot shadow is 10 foot tall.
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simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
The question is in the image below.
The fourth:
The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.
Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y
Answer:
The answer is __
because of __
Step-by-step explanation:
A librarian has 4 times as many mysteries than romances. She lends out 12 mystery books. How many mystery books she have now if she started with 15 romances?
Answer:
48
Step-by-step explanation:
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
There are 4562 boys in a school. The number of girls is 689 less than the number of
boys. Find the total strength of the school. Pls answer fast
Answer: 8435
Step-by-step explanation:
No. of girls = 4562 - 689 = 3873
Total strength = 4562 + 3873
= 8435
Answer:
8435
Step-by-step explanation:
Boys= 4562
Girls= 4562-689= 3873
Total= 4562+3873= 8435
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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Can someone help me with this question please.
Answer:
Cheapest price is £25.38
Step-by-step explanation:
To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer
=>Cost of getting 10 rolls at £9.21 per roll:
10 × £9.21 = £92.1
=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls
£25.38 = 3 rolls
x = 10 rolls
x = (25.38*10)/3 = 253.8/3
10 rolls would cost x = £84.6
=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:
£42.85 = 5 rolls
x = 10 rolls
x = (10*42.85)/5 = 428.5/5
x = £85.7
From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.
Therefore, the cheapest price is £25.38
What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13
Answer:
sin = 12/13 and tan = 12/5
The value of sin α will be 12/13 and tan α will be 12/5 for the given triangle such that cosα= 5/13.
What is a trigonometric function?Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.
We know that
sin²α + cos²α =1 ⇒ sin²α = 1 - cos²α
Given that cosα = 5/13 so by putting it
sin²α = 1 - (5/13)²
sin²α = 144/169 ⇒ sinα = 12/13.
Now since tanα = sinα /cosα
tanα = (12/13) ÷ ( 5/13)
tanα = 12/5.
Hence the value of sinα will be 12/13 and tanα will be 12/5.
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There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(1,9)
Answer:
y=9x
Step-by-step explanation:
(0,0),(1,9)
when x=0, y=0, means b=0
m is the slope =9
y=9x
Answer:
yes the answer is 9 on any question
Step-by-step explanation:
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
Simplify the radical /81d^6.
O 9d2
81d3
O 9d3
O 906
Answer:
The answer is option C.
Step-by-step explanation:
[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]
Hope this helps you
Answer:c
Step-by-step explanation:
PLEASEEE HELPPP IT DUE TODAYYY
Answer:
All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
Option (D)
Step-by-step explanation:
Function in red is,
f(x) = x²
When a function f(x) is translated h units to the left, rule to be followed,
f(x) → f(x + h)
If the function is translated 2 units left,
Translated function (in blue) will be,
g(x) = (x + 2)²
Option (D) will be the answer.
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
On one day in January, the temperature in Milwaukee, Wisconsin fell 12°F from the high temperature to a low temperature of -8°F. If t represents the high temperature, what is the value of t?
Answer:
t = 4
Step-by-step explanation:
you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.
The value of t is 4.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The temperature in January = 12 °F
And the low temperature is = -8 °F
The equation of temperature t can be given as
t= high temperature + low temperature
t= 12 - 8
t=4
The value of t is 4.
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which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i
Answer:
A: i
Step-by-step explanation:
i^57=i use the calculator
What is the difference from the point (-6,2) to the point (2,17)?
Answer: Distance is 17
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (2 -6) = 8[/tex]
[tex](y2-y1) = (17 - 2) = 15[/tex]
Add them all together
[tex](8)2 + (15)2 = 64 + 225 = 289[/tex]
Square 289
[tex]\sqrt{289} =17[/tex]
11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)
Answer:
y= -4x
Step-by-step explanation:
hope this helps and lmk if you need anything!
Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
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[Refer to the image attached for complete question]
A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team. 61 of the students are boys. There are 36 students on soccer teams, 19 are on the girls’ soccer team. There are 35 students on basketball teams, 18 are on the boys’ basketball team. How many boys are on the track team?
I hope this helps you
Answer:
26 boys.
Step-by-step explanation:
You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.
There are 18 boys on the basketball team.
To find out how many boys are on the track team, all you need to do is...
61 - (17 + 18) = 61 - 35 = 26.
There are 26 boys on the track team.
Hope this helps!
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
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