Answer:
There are 28 biscuits in a small size.
There are 112 biscuits in a medium size.
There are 196 biscuits in a large size.
Step-by-step explanation:
Tin of biscuits come in three sizes:
SmallMediumLargeLet S denote biscuits in small size.
Let M denote biscuits in medium size.
Let L denote biscuits in large size.
There are 28 biscuits in a small size and four times as many in the medium size.
Mathematically,
S = 28
M = 4S
Substitute S = 28
M = 4(28)
M = 112
In the large size there are seven times as many as in small size.
L = 7S
Substitute S = 28
L = 7(28)
L = 196
Therefore,
There are 28 biscuits in a small size.
There are 112 biscuits in a medium size.
There are 196 biscuits in a large size.
Please help someone please
Answer:
6(x +8)
Step-by-step explanation:
Factorising:
6x + 48
Take 6 as common, Therefore:
6(x +8)
Because:
6 * x = 6x
6 * 8 = 48
therefore:
6x + 48 = 6(x + 8)
Hope it helped!!!
another question I need help ! answer ASAP please .
Answer:
35
Step-by-step explanation:
Since we know the amounts of each vitamin per serving all we have to do is find the difference.
We do this by subtracting 90 from 125.
125 - 90 = 35
p2Κ۷p (2 is subscript) what does the 'v' symbol mean?
Calculate the surface area of a solid box in the shape of a cube with side length 6cm.
Answer:
216 cm^2
Step-by-step explanation:
A cube has 6 congruent, square faces.
Each face has side length of 6 cm.
The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is
SA = 6s^2
where s = side length
SA = 6 * (6 cm)^2
SA = 6 * 36 cm^2
SA = 216 cm^2
Order the fractions from greatest to least.
5/16, 5/12, 3/8.
Answer:
5/12, 3/8, 5/16
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the common denominator, in this case 48. Divide 48 by each denominator and multiply that answer to the numerator. You get (48/16)x5, (48/12)x5 and (48/8)x3. So, 3x5, 4x5, and 5x5. So, 15,20, and 25. Then put these over your new common denominator of 48. So you get 15/48, 20/48, and 25/48. Then you can just order them like this, 15/48,20/48,25/48.
Easiest way: Another way is just to type each into your calculator and put the decimals in order of greatest to smallest. So divide 5 by 16. 5 by 12. And 3 by 8.
5/16=.3125
5/12=.4166
3/8=.375.
Then put in order.
Which of the following is the rule for the geometric
sequence 1, 3. 9. 27, ...?
an = 3.39-1
an = 3.31
an = 1.32
an = 1.39-1
Answer:
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
Step-by-step explanation:
The n th term rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , thus
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
simplify 12ab/4a-8ab
Answer:
12ab / 4a - 8ab
= 4a(3b)/ 4a(1 - 2b)
= 3b / 1 - 2b
Hope this helps
Instructions: Find the equation of the line through point (−4,1) and parallel to y=−12x−2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answer:
y = - 12x - 47
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 )
y = - 12x - 2 ← is in slope- intercept form
with slope m = - 12
Parallel lines have equal slopes, thus
y = - 12x + c ← is the partial equation
To find c substitute (- 4, 1 ) into the partial equation
1 = 48 + c ⇒ c = 1 - 48 = - 47
y = - 12x - 47 ← equation of parallel line
The required equation of the line is y = -12x - 47
What is the slope-point form of equation of the line?"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"
What is the slope-intercept form of the line?"y = mx + c, where m is the slope and c is the Y-intercept of the line."
For given question,
We have been given a point (-4, 1)
The required line is parallel to the line y = -12x - 2
Comparing above equation with slop-intercept form of the line.
m = -12
Let m1 be the slope of the required line.
We know that the slope of parallel lines is equal.
⇒ m1 = m
⇒ m1 = -12
Now we find the equation of the required line by using slope-point form.
Let (p, q) = (-4, 1)
By using slope-point form,
⇒ (y - q) = m1(x - p)
⇒ (y - 1) = -12(x - (-4))
⇒ y - 1 = -12x - 48
⇒ y = -12x - 47
Therefore, the required equation of the line is y = -12x - 47
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I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps, what is the value of my stamp collection in terms of b ?
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
Answer:
45b + 43 cents
Step-by-step explanation:
45b + 43 cents
Rachel, Mario and Sanjit share some money in the ratios 4 : 3 : 9 Mario receives £96. Work out the difference between the amount received by Rachel and the amount received by Sanjit.
Answer:
Step-by-step explanation:
If Marios share is 3 parts and is £96, then
Find one part = 96/3 = 32
So,
Rachel receives = 32 x 4 = £128
Sanjay receives = 32 x 9 = £288
Hope this helps
If f(x) = x3 and g(x) = 2x + 7, what is
f(g(x)] when g(x) = -1?
Hey there! :)
Answer:
125.
Step-by-step explanation:
When g(x) = -1:
g(-1) = 2(-1) + 7
g(-1) = -2 + 7
g(-1) = 5
Plug this into f(x) since the question is asking for f(g(x)):
f(x) = x³
f(5) = 5³
f(5) = 125.
Answer:
-1
Step-by-step explanation:
f(x) = x^3
g(x) = 2x + 7
f(g(x)] =
Let g(x) = -1
Replace g(x) with -1
f(g(x) = f(-1) = (-1)^3 = -1
Please help, (AP is arithemtic progression)
Answer:
p = 8
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 4 + 5p and d = 5, then
a₁ + 8d = 4 + 5p, that is
a₁ + 8(5) = 4 + 5p
a₁ + 40 = 4 + 5p ( subtract 40 from both sides )
a₁ = 5p - 36
a₂ = 5p - 36 + 5 = 5p - 31
a₃ = 5p - 31 + 5 = 5p - 26
a₄ = 5p - 26 + 5 = 5p - 21
Given that the sum of the first 4 terms = 7p - 10, then
5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is
20p - 114 = 7p - 10 ( subtract 7p from both sides )
13p - 114 = - 10 ( add 114 to both sides )
13p = 104 ( divide both sides by 13 )
p = 8
YO PLZ HELP ME W DIS ASAP!!!
Answer:
-6 < y < ∞
Step-by-step explanation:
The range is the value of the output, in this case the value of y
The value is from -6 not including -6 to infinity
-6 < y < ∞
Answer:
C. from -6 to infinity
Step-by-step explanation:
The range is the set of the y-coordinates of the points of the function.
The lowest value of y is -6 or just greater than -6.
All values greater than y are also part of the range.
Answer: Choice C. from -6 or just greater than -6 to infinity
PLEASEEEEE ANSWER Gale wants to compare the cost of the events. Aquarium: $14.50 each ticket Carnival: c = 15.5 + 12f Wave pool: $16.75 each, but $12.25 each for groups larger than 4 Which of the claims Gale makes is true? The table represents all possibilities. The carnival always costs the least. The Aquarium always costs the most. (7, 101.5) is an ordered pair used to represent the aquarium cost.
Answer:
The fourth statement is true
Step-by-step explanation:
the table does not represent all possibilities, because the function is limited to zero tickets
Thus, this statement is false
the carnival never costs least, because the aquarium costs less, and the pool may cost even less if there is a group of 4
Thus, this statement is false
the aquarium not always costs the most, since it cost 14.50$ each ticket, while the wave pool may have tickets 16.75 each
Thus, this statement is false
the aquarium cost may be represented by the equation:
y=14.50x
now, we put in the ordered pair coordinates:
101.5=14.50*7
101.5=101.5
Thus, this statement is true
Answer:
correct 4 edge 2020
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Step-by-step explanation:
Gale wants to compare the cost of the events.
Aquarium: $14.50 each ticket
Carnival: c = 15.5 + 12f
Wave pool: $16.75 each, but $12.25 each for groups larger than 4
Which of the claims Gale makes is true?
The table represents all possibilities.
The carnival always costs the least.
The Aquarium always costs the most.
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Mr. chen is parking in a lot downtown. The graph shows a relationship between the time and the total cost of parking. evaluate the input for a function of 2.
The solution to the question by reading the graph is:
''When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours. ''
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that;
Mr. chen is parking in a lot downtown. The graph shows a relationship between the time and the total cost of parking.
Now,
the line hits the point (2,6) and x represents the time and y represents the cost and continues to go at a constant rate of,
⇒ 2/6
Hence, which means that that he pays 6 dollars every 2 hours.
Thus, Option B is true.
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The graph of g(x) is a transformation of the graph of f(x)=2x. Enter the equation for g(x) in the box. g(x) =
The -3 is not in the exponent
Explanation:
The parent function is [tex]f(x) = 2^x[/tex]. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.
[tex]g(x) = f(x) - 3\\\\g(x) = 2^x - 3[/tex]
You could look at other points as well, but I find working with x = 0 is easiest.
As a check, plugging x = 0 into g(x) leads to...
[tex]g(x) = 2^x - 3\\\\g(0) = 2^0 - 3\\\\g(0) = 1 - 3\\\\g(0) = -2[/tex]
This confirms our answer.
Which of the following ratios are equivalent to 20%?
Check all that apply
A 5.15
B 3:12
C 1:5
D 4:20
E 25
Answer:
C, D
Step-by-step explanation:
1/5 is .20 which is 20%
4/20 is equal to 1/5 which is 20%
Hope this helps
Answer:
Its A, b, c, e
Step-by-step explanation:
What is the range of f(x)?
-3, -2, -1, 0,1
-2.-1.0.1
all real numbers such that -3
all real numbers such that -2
The range of f(x) would be -2, -1, .0, 1.
What is the range of the function?The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.
The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.
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erina12 please answe this i am on a live lesson
Answer:
Area = 105 cm^2
Step-by-step explanation:
Area = (9x6) + (6x6) + 0.5(5x6)
= 54+36+15
=105 cm^2
Best Regards!
**WHO ANSWERS WILL BE MARK AS BRAINLIEST** Triangle ABC is translated according to the rule (x, y) → (x + 4, y – 10). If the coordinates of the pre-image of point B are(4, –5), what are the coordinates of B'? *
10 points
(2, 3)
(8, –15)
(–3, –4)
(6, –13)
Answer:
8, -15
Step-by-step explanation:
4 + 4 = 8. -5 - 10 = -15. The new point is (8, -15)
Solve for x? and the lengths missing side
Answer:
X = 15, the missing length (c) is 10
Step-by-step explanation:
Using Pythagorean’s Theorem we know that a^2 + b^2 = c^2
We have side a and b, represent a as 6 and b as 8.
We have 6^2 + 8^2 = c^2
Which equals 100 = c^2
10 = c
Side C is 10, and (x - 5) = 10
X = 15
Please mark BRAINLIEST!
Answer: x ≅ 15.95
Step-by-step explanation:
Use the pythagorean theorem for right triangles x^2 + y^2 = s^2
6^2 = 36
8^2 = 64
(x - 5)^2 requires FOIL. Unfortunately Im going to do this on paper. Its essentially First Outside Inside Last. i got x^2 - 10x + 25
Lets now add 36 and 84 and make it equal to the trinomial we just got.
[tex]120=x^2-10x+25[/tex]
Now lets subtract 120 from both sides to get:
[tex]0=x^2-10x-95[/tex]
You could complete the square, I think. But im going to use the quadratic formula. [tex]\frac{-b +/- \sqrt{b^2-4ac} }{2a}[/tex]Im going to calculate this on paper for simplicity's sake. Im getting an answer of about [tex]\frac{10(+/-)21.909}{2}[/tex]
Solve by adding and then solve by subtracting to get x ≅ 15.95 and x = -5.95. We cant have a negative side length so we can disregard that negative answer.
What number do you need to add to +6 to get 0?
Answer:
+6-6=0
so we need -6 to add in +6 to get 0
Step-by-step explanation:
i hope this will help you
[tex]solution \\ let \: the \: number \: be \: x \\ x + 6 = 0 \\ or \: x = 0 - 6 \\ x = - 6[/tex]
hope this helps...
Good luck on your assignment...
LAST ONE!! y is directly proportional to the square of x. Given that y=32 when x=4, find the value of x when y=18
Answer:
±3
Step-by-step explanation:
y is directly proportional to the square of x.
[tex]y \propto x^{2}[/tex]
[tex]y = kx^{2}[/tex]
Find the value of k constant when y=32 and x=4.
[tex]32=k(4)^2[/tex]
Square the number 4.
[tex]32=16k[/tex]
Divide both sides with 16.
[tex]32/16=k[/tex]
[tex]k=2[/tex]
The value of k constant is 2.
Find the value of x when y=18
[tex]y=2x^2[/tex]
[tex]18=2x^2[/tex]
[tex]18/2=x^2[/tex]
[tex]9=x^2[/tex]
[tex]x= \± \sqrt{9}[/tex]
[tex]x=\± 3[/tex]
The value of x when y = 18 is ±3.
BRAINLIEST ANSWER GIVEN Solve inequality and write interval notation.[tex]5x+4\leq x-8[/tex]
Answer:
[tex]x\leq -3[/tex]
Step-by-step explanation:
I can't write interval notation on Brainly but I can solve the inequality.
[tex]5x+4\leq x-8[/tex]
Subtract [tex]x[/tex] from both sides
[tex]4x+4\leq -8[/tex]
Subtract 4 from both sides
[tex]4x\leq -12[/tex]
Divide both sides by 4
[tex]x\leq -3[/tex]
The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9
How many sides does a pentagon have? A pentagon has number sides.
Answer:
5
Step-by-step explanation:
A pentagon is a polygon that has 5 sides.
Answer:
A pentagon has 5 sides
Step-by-step explanation:
penta, often means 5.
11(n – 1) + 35 = 3n find n
Answer:
n=-3
Step-by-step explanation:
11(n – 1) + 35 = 3n
expand left side
11n-11+35=3n
Add-11 to 35
11n+35-11=3n
11n+24=3n
subtract 24 from both sides
11n+24-24=3n-24
11n=3n-24
subtract3n from both sides
11n-3n=3n-24-3n
8n=-24
divide both sides by 8
8n/8=-24/8
n=-3
Answer:
n = -6Step-by-step explanation:
[tex]11(n -1) + 35 = 3n\\n =? \\11n -11 +35=3n\\Collect-like-terms\\11n-3n=-35+11\\4n =-24\\divide -both-sides-of-the-equation\\n = \frac{-24}{4} \\n = -6\\\\[/tex]
Which is a stretch of an exponential decay function?
A:: f(x) = 1/5(1/5)^x
B:: f(x)1/5(5)^x
C:: fx) = 5 (1/5)^x
D:: f(x) = 5(5)^x
Answer: f(x) = 5(1/5)^x
Step-by-step explanation:
Sum of zeros in polynomial x2+4x+7 is
Answer:
-4
Step-by-step explanation:
Hello,
let say that [tex]x_1[/tex] and [tex]x_2[/tex] are two zeros of second order polynomial
it can be then be written
[tex](x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2[/tex]
So when we check this expression
[tex]x^2+4x+7[/tex]
we can say that the sum of zeros is -4
and the the product of zeros is 7
to note that in this example there are no real root of this equation
[tex]x^2+4x+7=0[/tex]
here, the zeros are complex numbers not real ones
if I have to solve it in [tex]\mathbb{R}[/tex] I would say that there are no zeros so their sum is not defined
if I have to solve it in [tex]\mathbb{C}[/tex] I would say that there are two complex roots and their sum is -4
hope this helps
Convert 100 days to weeks and days
Answer:
14 weeks and 2 days.
Step-by-step explanation:
Divide 100 days by 7, because there are 7 days in 1 week.
100/7 = 14.2857
0.285714 = 2/7
The answer is 14 weeks and 2 days.
Answer:
there are 100 days
there are 7 days in a week so we divide the days by 7
100days/7days
14.2weeks≈14 weeks are there in 100days
Step-by-step explanation:
i hope this will help you :)