Answer:
Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
Step-by-step explanation:
Given - A group of people went to a coffee shop. Each person chose a
drink and a treat. number of people who chose coffee: number of
people who chose tea = 1:4. Of those who chose coffee, number of
people who chose a muffin number of people who chose a tart =
2:7. Of those who chose tea, number of people who chose a muffin
: number of people who chose a tart = 5:1.
To find - What fraction of the people chose a tart?
Proof -
Let the Total number of People went to a coffee shop = 5x
Now,
As given, number of people who chose coffee: number of people who chose tea = 1:4
⇒Total number of people who chooses coffee = [tex]\frac{1}{5}.5x[/tex] = x
Total number of people who chooses tea = [tex]\frac{4}{5}.5x[/tex] = 4x
Now,
As given,
Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7
⇒Total number of people who choose muffin after coffee = [tex]\frac{2}{9}x[/tex]
Total number of people who choose tart after coffee = [tex]\frac{7}{9}x[/tex]
Also,
Given that
Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1
⇒Total number of people who choose muffin after tea = [tex]\frac{5}{6}.4x = \frac{20}{6}x[/tex]
Total number of people who choose tart after tea = [tex]\frac{1}{6}.4x = \frac{4}{6}x[/tex]
∴ we get
Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea
⇒Total number of people who chooses tart = [tex]\frac{7}{9}x[/tex] + [tex]\frac{4}{6}x[/tex]
= [tex]\frac{7}{9}x + \frac{2}{3}x[/tex]
= [tex]\frac{7x + 6x}{9}[/tex]
= [tex]\frac{13}{9}x[/tex]
⇒Total number of people who chooses tart = [tex]\frac{13}{9}x[/tex]
Now,
Fraction of the people chose a tart = [tex]\frac{People choose tart}{Total people}[/tex]
= [tex]\frac{\frac{13}{9}x }{5x}[/tex]
= [tex]\frac{13}{45}[/tex]
⇒Fraction of the people chose a tart = [tex]\frac{13}{45}[/tex]
Solve this equation. Enter your answer in the box
- e- je= -24
e =
I
M and N are similar shapes. Work out the missing lengths, x and y.
HELP
Step-by-step explanation:
x=3.8 y=6 is your answer right answer
simplify the following 35÷32
plz help me out!!
Answer: 1.09375
Step-by-step explanation:
35÷32 is already in the simplest form. It can be written as 1.09375 in decimal form (rounded to 6 decimal places).
plssssss help soonnnnnnn
Answer:
senior tickets= $15
student tickets= $3
Step-by-step explanation:
1C+12S=51
(5C+6S=93)^-2
1C+12S=51
-10C-12S=-186
-9c=-135
divide both sides by -9
C= 15
to get the student tickets
51-15=36
12S=26
= $3
What is the product of
(3y^-4) (2y^-4)
Answer:
Step-by-step explanation:
3(2)* y-4*y-4
6 y to the negative 8
if my answer helps please mark as brainliest.
5x+2y =3
3x+2y=5
(1,4)
(-1,4)
(4,1)
Which one is it
Answer:
it would be -1, 4
-1 x 5 = -5 and 2 x 4 = 8 so -5 + 8 = 3
-1 x 3 = -3 and 2 x 4 = 8 so -3 + 8 = 5
hard question!!!please help me !
there is english below
9514 1404 393
Answer:
t = ±√3
Step-by-step explanation:
The first equation tells us ...
x^2 +tx +2 = (x -h)(x -k)
x^2 +tx +2 = x^2 -(h+k)x +hk
Comparing coefficients, we have the equations ...
t=-(h+k)
2 = hk
__
The second equation tells us ...
2x^2 +mx +2m = 2(x -h/k)(x -k/h)
2x^2 +mx +2m = 2x^2 -2(h/k +k/h)x +2
Comparing coefficients, we have the equations ...
m = -2(h/k +k/h)
2m = 2
__
Dividing the last equation by 2 gives ...
m = 1
Using that in the third equation, we have ...
1 = -2(h/k +k/h) = -2(h^2 +k^2)/hk
Using hk = 2, this gives us ...
h^2 +k^2 = -1
From the first equation, we know ...
t^2 = (-(h+k))^2 = h^2 +2hk +k^2 = (h^2 +k^2) +2(hk)
Substituting the values for these terms, we have ...
t^2 = -1 + 2(2) = 3
t = ±√3
Possible values of t are √3 and -√3.
how many milliliters are in 10 teaspoons?
1 tsp = 5mL
10tsp = ?? mL
Answer:
49.2892...... mL
Step-by-step explanation:
Answer:
10tsp=50mL
Step-by-step explanation:
how to solve this 7/8 n=63
-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?
A)The scale factor is 0.25.
B)The scale factor is 4.
C)The scale factor is 4.35.
D)The scale factor is 7.25.
Answer:
C
Step-by-step explanation:
5.8 - 4.35= 1.45
ralph and edie each solved the equation (x-7)^2 - 100 = 0. ralph says the correct answer is x= -3. who is correct? how do you know?
What is the sum?
3
2.
What is the difference between the 12th square number and the
7th square number?
Answer:
95
Step-by-step explanation:
12th square number
= 12 × 12
= 144
7th square number
= 7 × 7
= 49
Difference between the 12th square number and the
7th square number
= 12th square number - 7th square number
= 144 - 49
= 95
Difference between the 12th square number and the
7th square number = 95
Find the sum of the interior angles of a dodecagon ( 12 sides ) show work for your answer!  ❤️
Answer:
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum = (12 -2) * 180
Sum of the interior angles = 1,800 degrees
Source: http://www.1728.org/polygon.htm
Step-by-step explanation:
A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the hexagon will coincide with itself.
The minimum number of degrees in the rotation such that the hexagon will coincide with itself is 60°
What is hexagon?Hexagons are six-sided polygons in geometry. A hexagon is said to be a regular hexagon if all of its sides and angles have identical lengths. To put it another way, a regular hexagon's sides are congruent.
Given that, Around its center, a regular hexagon is rotated counterclockwise.
We are aware that a hexagon has six sides.
There are also 360 degrees.
According to the data given, the calculation is as follows:
= 360 /60
= 60 degrees.
Therefore, we may say that the rotation must be at least 60 degrees in total.
Learn more about hexagons here:
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12y = 8x + 29 write in slope intercept form and what is the solution? Show all your work plz help!
Factor completely: x2-4
Answer:
(x+2)(x-2)
Step-by-step explanation
x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)
A game show contestant cannot spend more than $100 on $0.79 cans of beans and $3.59 boxes of cereal. Which inequality represents the situation, where b is the number of cans of beans and c is the number of boxes of cereal?
Answer:
i believe it would be 0.79b + 3.59c [tex]\leq[/tex] 100
Step-by-step explanation:
the price of the number of cans of beans added to the number of boxes of cereal must be less than or equal to $100
0.79b represents the price of the beans multiplied by the amount of cans the contestant buys, and 3.59c represents the price of the cereal multiplied by the amount of boxes the contestant buys
Mrs. Brown has a flower garden in the shape of a parallelogram.
The length of the base of the garden is 9.5 feet and the height is
4.2 feet. What is the area of the flower garden?
A 19.95 ft? B 27.4 f? C 30.7 ft? D 39.9 ft?
Area of flower garden is 39.9 square feet
Solution:
Given that, flower garden in the shape of a parallelogram
The length of the base of the garden is 9.5 feet and the height is 4.2 feet
To find the area of a parallelogram, multiply the base by the height
The formula for area of parallelogram is:
From given,
Base = 9.5 feet
Height = 4.2 feet
Substituting the values in formula,
Thus area of flower garden is 39.9 square feet
(hope this helps can i plz have brainlist :D hehe)
Answer:
D
Step-by-step explanation:
A=bh
A=(9.5)(4.2)
A=39.9 ft
pls help ill give brainliest !!
Answer:
4
Step-by-step explanation:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the linear equations.
so we solve here as,
==> -4(-2y+3)=20
==> 8y -12 = 20
==> 8y = 20+12
==> 8y = 32
==> y = 4
hence value of y = 4 .
plz help me math doesnt like me
Answer:
hello
Step-by-step explanation:
i think diameter is 13 cm
but radius is equal to 13/2=6,5cm
hope it helps
have a nice day
bye
how many tiles of 10cm by a 6cm will be needed to pave a rectangular path of 5m by 3m
Explanation properly
Answer:
2500 tiles
Step-by-step explanation:
convert the path to the same units, one m = 100 cm
path= 500 cm x 300 cm
path area = 150,000 cm^2
each tile = 10x6 = 60 cm^2
150,000/60 = 2500 tiles
Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?
Answer:
a because a is the answer
WILLLLLLLLLLLL MARK BRAINLISTTTTTTT
Answer:
f (8) = ( -161 )
Step-by-step explanation:
[tex]f(x)=-3x^{2} +3x+7[/tex]
To find f(8) sub 8 for x in the equation and simplify:
[tex]f(8)=-3(8^{2} )+3(8)+7[/tex]
= -192 + 24 + 7
= -168 + 7
= -161
so f(8) = -161
what is the solution for the equation y=1/4x-7
Answer:
There are an infinate amount of solutions
Step-by-step explanation:
what is the amplitude of y = 3[6(x-4)] - 5
'I hope my answer helps you'
Question: y = 3cos[6(x-4)] - 5
Answer: 3
Step-by-step explanation:
The reason for this is in order to find amplitude, it's always the number before "cos" or "sin". Also, the "[6(x-4)]" was just a distraction to throw you off
Here's a trick to find everything; amplitude, period, phase sift, etc.:
y = A sin(B(x + C)) + D
* amplitude is A
* period is 2π/B
* phase shift is C (positive is to the left)
* vertical shift is D
help me out please T-T
Answer:
The simplyfied version would be 19/4
Show of work:
(1/4)^-2 = 4^2
3 × 8^2/3 × 1 = 12
(9/16)^1/2 = 3/4
4^2 - 12 + 3/4
Convert elements to fractions:
-12 × 4 + 3
---------- ----
4 4
Since the denominators are equal combine the fractions:
-12 × 4 + 3
---------------
4
-12 × 4 + 3 = -45
= -45/4
=4^2 - 45/4
4^2 = 16
16 - 45/4
16 × 4 - 45. 16 × 4 - 45
--------- ----- ----------------
4 4. 4
-> 16 × 4 - 45 = 19
= 19/4
LMNP is rotated 180° clockwise around the origin.
Answer:
The correct answer is B
Step-by-step explanation:
-3,-4
Coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.
What is clockwise rotation?
" Clockwise rotation means when any object is moving in the direction of hands of clock."
According to the question,
As per the diagram ,
Coordinates of M are ( 3, 4)
Rotation of a point through 180° about the origin when a point M( x, y) is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new coordinates ( -x ,-y).
Therefore , coordinates of M are ( -3, -4).
Hence, coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.
Learn more about clockwise rotation here
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Which of the following best describes how the y values are changing over each interval?
x y
1 2
2 4
3 8
4 16
5 32
They are increasing by 2 each time.
They are increasing by 4 each time.
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.
Answer: They are being multiplied by 2 each time
Step-by-step explanation:
2x2=4 4x2=8 8x2=16 16x2=32
Answer:
They are being multiplied by 2 each time
Step-by-step explanation: hope it helps ^w^
Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each piece of fabric according to the equation x2 + y2 = 100 with units in inches. Based on this equation, what is the diameter of the cushion?
5 in.
10 in.
20 in.
100 in.
Answer:
c // 20 inch
Step-by-step explanation:
edg 2021 ^u^
The diameter of the cushion is 20 inch, the correct option is C.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation is x² +y² = 100
When this equation is compared to the standard equation
r² = 100
r = 10 inch
Diameter = 2 * radius
Diameter = 2 * 10
Diameter = 20 inch
To know more about Standard Equation of a Circle
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