Answer:
N = 34
Step-by-step explanation:
METHOD I
(hit and trial)
The given two ratios have to be equal.
This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.
The common factor here is 2.
Since,
12 × 2 = 24
17 × 2 = 34
[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]
(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).
METHOD II
(mathematical approach)
Ratios can be written in form of fractions as:
[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]
Cross multiplying:
[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]
taking 12 to the denominator:
[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]
24 and 12 gets canceled and 2 takes up their spot
(why?
=> 24 ÷ 12 = 2)
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{ N = 34 } [/tex]
[tex] \implies \mathsf{ N = 34} [/tex]
All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer
A two-way relative frequency table consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.
Shift Response
Yes No Total
Day
67% 33% 100%
Night
23% 77% 100%
Total
45% 55% 200%
In this table there is data relating to two categories day/ night and yes/no.
Along the rows the percentages of the day/night data are calculated.
Along the columns the percentages of the yes/no data are calculated.
Shift Response
Yes No Total
Day 67/100*100 33/100 *100 100
= 67% =33% 100%
Night 23/100*100 77/100*100 100
= 23% =77% 100%
Total 90/200 *100 110/200*100 200
= 45% = 55% 200%
These calculations are done by dividing the row cells by their respective row totals.
Similarly the columns cells are filled by dividing the column cells with their respective column totals.
For more understanding of two-way frequency table click
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cos^-1(cos 43°)
PLEASE HELP ME
[tex] \: \: \: \: \: [/tex]
[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]
Step-by-step explanation:
[tex] \cos( - 1) ( \cos(43°)) [/tex]
simplify the expression usiNg the symmetry of trigonometry[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]
hope it helps[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]
Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
6 boxs she will only have 5 dollors left
also what kind of persom buys 6 pizza boxes for 4 friends
Help help math math
Answer:
32
Step-by-step explanation:
hope this helps :)
Suppose the relationship between x and y is proportional. When x is 7 , y is . 147 Identify the constant of proportionality of y to x.
Answer:
its 21
Step-by-step explanation:
Help please.........
no one helped so im asking for these 2 again
Answer:
3. Option No. 2:
6x + 2y = 22
3x + 3y = 18
4. Option No. 2:
$2.50
Step by step explanation:
4. 6x + 2y = 22
(3x + 3y = 18) * 2
- Negate
6x + 2y = 22
6x + 6y = 36
2y - 6y = 22 - 36
-4y = -14
y = -14/-4
y = 3.5
An order of onion rings = $3.50
- Substitute to find for x
6x + 2(3.5) = 22
6x + 7 = 22
6x = 22 - 7
6x = 15
x = 15/6
x = 2.5
An order of French fries = $2.50
4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
more pepper seedlings than the eggplants, how many pepper seedlings did he
plant?
Answer:
225 pepper seedlings.
Step-by-step explanation:
WAY 1: common sense
half of 150 is 75
75 + 150 = 225
WAY 2: % of number
convert % to decimals (/100)
0.5 x 150 = 75
150 + 75 = 225
help pls please hmmm
Step-by-step explanation:
Here is your answer
(2)⁴*³2¹²Answer:
2^12
Step-by-step explanation:
Since 2^4 is already powered you will only power the 4 and not the 2
For example (a^2)^3 = a^6
and not a*a*a^6
You only power the 2 and not the "a"
Hope this helps!
Simplify w4z8 ÷ w2y2z4.
Answer:
w^2z^4/y^2
Step-by-step explanation:
125 divided by 100 I have to make corrections
Answer:
1.25
Step-by-step explanation:
125/100 = 1.25
Answer:
it's 1.25
Step-by-step explanation:
125 ÷100 = 1.25
My friend needs your help
Answer:
Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you
Step-by-step explanation:
Have a great rest of your day
#Nova
Please help me with this problem TwT. Triangles.
Answer:
X = 80°
Step-by-step explanation:
it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18
this means the two bottom angles are the same so the other would also be 50°
Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle
please help quick
A cone has a height of 10 in. and a radius of 4 in.
What is the slant height of the cone?
A
116−−−√
in.
B
96−−√
in.
C
84−−√
in.
D
104−−−√
in.
Answer: Choice A. sqrt(116)
==========================================================
Explanation:
If we were to view a vertical cross section of the cone, then we get a triangle. This triangle splits along the vertical height line to form two congruent right triangles.
The horizontal piece of each triangle is the radius r = 4.
The vertical piece is the height h = 10.
Apply the pythagorean theorem to find the slant height, which is the hypotenuse of the right triangle.
a^2 + b^2 = c^2
r^2 + h^2 = x^2
4^2 + 10^2 = x^2
16 + 100 = x^2
116 = x^2
x^2 = 116
x = sqrt(116)
find.
number y if 2/5of y is 22
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?
Based on the information the cost of the product is $40,000.
Given:
Percentage earn=5% or 0.05
Amount earned=$2,000
Let x represent the cost of the product
Hence:
Formulate
.05x = $2000
Divide both sides by .05
x=$2,000/.05
x=$40,000
Inconclusion the cost of the product is $40,000.
Learn more about cost here:https://brainly.com/question/824281
6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?
Answer:
5
Step-by-step explanation:
just had this question
Write the word sentence as a Equation.
The difference between a number p and 6 is -14
Step-by-step explanation:
how do we find the difference between 2 numbers ? by subtracting one from the other.
p - 6 = -14
p = -8
(In , (c) in a group of students of them are Science Society members and the rest are Mathematics Society members of the Science Society 5 members or 16 of them are girls. Find the total number of Mathematics Society members. Dalam satu kumpulan murid, daripada mereka 9 ialah ahli Persatuan Sains dan selebihnya ialah ahli 2. Persatuan Matematik. daripada ahli Persatuan . 5 Sains atau 16 orang daripadanya ialah perempuan. Cari jumlah bilangan ahli Persatuan Matematik [3 marks / 3 markah) Answer / Jawapan:
Answer:
50 studentsStep-by-step explanation:
Given:
4/9 of students are Science Society membersThe rest are Mathematics Society members2/5 of Science Society members are girls = 16 peopleFind the number of Science Society members:
2/5x = 16x = 16*5/2 = 40Find the total number of group members:
4/9x = 40x = 40*9/4 = 90Find the number of Mathematics Society members:
90 - 40 = 50find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answer:
see explanation
Step-by-step explanation:
the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )
means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so
A (- 1, - 3 ) → A' (- 2, - 1 )
B (4, - 3 ) → B' (8, - 1 )
C (4, 3 ) → C' (8, 1 )
D (- 1, 3 ) → D' (- 2, 1 )
What is the common ratio for the geometric sequence?
18,12,8, ...
16/3
Enter your answer in the box.
Answer:
Answer below
Step-by-step explanation:
basically, what should we multiply each term by to get next term
18 times what=12
what=12/18=2/3
12 times what=8
what=8/12=2/3
common ratio is 2/3
_____________________________________________________
(hope this helps can I pls have brainlist (crown)☺️)
The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?
A 7:15
B 7:30
C 7:45
D 8:00
Answer:
i think (C)
Step-by-step explanation:
hope this helps you
If b² = 25, then b =____
Answer:
5
Step-by-step explanation:
b^2= (5)^2 = 25
So.... b=5 or -5
Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8
Answer: The quotient is 4 52/185, which rounds to 4.
Explanation is in the image.
Order the following numbers from least to greatest:
1/5/100 5% 0.0005 50/100 50 5/1000 500%
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
You can convert all the percentages and fractions into decimals for better comprehension.
0.0005
1/5/100 = 0.002
5/1000 = 0.005
5% = 0.05
50/100 = 0.5
50
500% = 500
Answer:
0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%
Step-by-step explanation:
Simplify the expression. Explain each step 7(4y)
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1
Answer:
yes, it a solution
Step-by-step explanation:
is (-a + b)² = a² - 2ab + b² right or wrong, and why?
Answer:
[tex]\huge\boxed{\sf Right.}[/tex]
Step-by-step explanation:
[tex](-a+b)^2[/tex]
Let's apply the formula (x+y)² = x² + 2xy + y²
Here, x = -a and y = b
So,
= (-a)² + 2(-a)(b) + (b)²
= a² - 2ab + b²
Hence, it has been proved that (-a + b)² = a² - 2ab + b².
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18079. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?
Help me pleaseeee with this
