Answer:
[tex]W = \frac{12}{17}[/tex] -- Women
[tex]M = \frac{5}{17}[/tex] --- Men
Step-by-step explanation:
Given
[tex]Men = 10[/tex] --- not 1010
[tex]Women = 24[/tex]
Solving (a) Fraction of Women
This is calculated as:
[tex]W = \frac{Women}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]W = \frac{24}{10+24}[/tex]
[tex]W = \frac{24}{34}[/tex]
Simplify fraction
[tex]W = \frac{12}{17}[/tex]
Solving (b) Fraction of Men
This is calculated as:
[tex]M = \frac{Men}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]M = \frac{10}{10+24}[/tex]
[tex]M = \frac{10}{34}[/tex]
Simplify fraction
[tex]M = \frac{5}{17}[/tex]
What is the range for this set of data?
38 17.55 40
O 2
O38
O39
O72
Answer:
The original price of the shirt is simply the sum of the purchased price and the discount price, that is:
original price = $17.55 + $5.85
original price = $23.40
The equation that best model this scenario is:
x - 5.85 = 17.55
where x is the original price
Step-by-step explanation:
20 books are divided parcels, each parcel contains one fifth of the total. If a librarian wants to buy 16 books how many fifths should he take?
Answer: x=4
Step-by-step explanation:
1/5 of the total= 1 parcel= 1/5 of 20= 4
So one parcel is 4 books
Then you can set up an equation 16=4x where x = number of parcels.
4x = 16
4x/4 = 16/4
x=4
Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a
If she repays the loan in 3
months, how much interest does she pay in total?
We know, 1 year = 12 month.
So, 3 month = 3/12 = 0.25 year.
Now, principle amount, P = $400 .
Rate is, r = 8% = 0.08
Time period, t = 0.25 year.
Now, Interest is given by :
I = P × r × t
I = $( 400 × 0.08 × 0.25 )
I = $8
Therefore, she will pay $8 interest in total.
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine
times the measure of the first angle. The third angle is 20 more than the second. Let x, y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles,
balor
help Please I’m stuck
Answer:
b and c
Step-by-step explanation:
Can someone solve this please
Answer:
35: x=10
36: 9:100
37: 2/3
38: 2 1/42
Step-by-step explanation:
GUESS AND CHECK
Problem
Lito went to his friend's farm. His friend's farm has pigs, cows and chickens. He asked him how heads many
per animals he has. His friend answered. There are 4 heads with 128 legs in all.
Problem 2:
There are 4 in a group who are all teenagers. The product of their ages is 56, 160.one of them are of the same age.
Pls I need an answer right now..
Answer:
with 128 legsin in all 56 160 one of them
Martha will build a pool in her backyard. She wants the pool to have a rectangular shape
and to be five meters long and three meters wide. What would the area in Martha's backyard that will be lost due to the construction of the pool? There are 3.28084 feet in
one meter.
A 15 square feet
B 80.729 square feet
C 161.459 square feet
D 322.918 square feet
9514 1404 393
Answer:
C. 161.459 square feet
Step-by-step explanation:
In feet, the dimensions of the pool are ...
(5 m)(3.28084 ft/m) = 16.4042 ft
(3 m)(3.28084 ft/m) = 9.84252 ft
Then the area of the pool is ...
(16.4042 ft)(9.84252 ft) = 161.458666584 square feet
about 161.459 square feet
_____
Additional comment
If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.
I need help with this can some one help me
Answer:
216
Step-by-step explanation:
We know that the two angles must add up to 180
so
108+x/3=180
solve for x
72=x/3
x=216
An area of a wall is 50 in. wide and 35 in. high. Will a mirror with a 62 in. diagonal fit in it? Identify the correct explanation.
Answer:
yes
Step-by-step explanation:
i used the pythagorean theorem and used 50 and 35 as the legs and the diagonal as the hypotenuse
35² + 50² = c²
c² = 3725
c = [tex]\sqrt{3725}[/tex], which is 61.03
since 61.03 is less than 62" then it should fit in
No, Given Mirror will be not fit in the wall.
Here, we use Pythagoras theorem
Base is 50 inch , Height is 35 inch
Now we have to find hypotenuse
[tex]h^{2} =(50)^{2}+(35)^{2} \\\\h^{2}=2500+1225=3725\\\\h=\sqrt{3725}=61.03[/tex]
Since, Diagonal length of wall is 61.03 inch which is less than mirror diagonal length.
Therefore, mirror is not fit in the wall.
Learn more:
https://brainly.com/question/13391411
Help please, I need help understanding this. I'm in Geometry
Answer:
I believe you can set the equations equal to each other and solve for x.
Step-by-step explanation:
reason being is that by definition, a line can be infinite, so in theory, those 2 lines can be equal.
Question 8 (1 point) Mrs. Hernandez is making a circular skirt for her daughter's Valentine banquet. She will glue a piece of sequin trim at the edge of the skirt. If the diameter of the circular skirt is 36 inches, what will be the closest measurement needed for the sequin trim in inches? 113 inches 57 Inches 1017 inches 72 inches
Answer: 113 inches
Step-by-step explanation:
To solve the question, we have to find the perimeter of a circle since the skirt is circular. This will be:
Perimeter = 2πr
where
π = 3.142
r = diameter/2 = 36/2 = 18
The closest measurement needed for the sequin trim will then be:
= 2πr
= 2 × 3.142 × 18
= 113.112
= 113 inches
What is the complement of an angle whose measure is
Answer:
Supplementary angles are two angles whose measures sum to a 180 degrees and complementary are the sum have to add up to 90 degrees.
Step-by-step explanation:
Answer:
hope u find it useful
hope this is what u want
The lengths of wo sides of a right triangle are 5 inches and 8 inches. What is the difference betwen the two
possible lengths of the third side of the triangle? Round your answer to the nearest tenth.
Answer:
The difference between the 2 possible lengths is 3.2 inches.
Step-by-step explanation:
Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3
Answers:
B. y = 2x + 3
hope this helps
I will make brainliest for whoever helps
Answer:
Take the X as S
Step-by-step explanation:
Hope's this helps
Ade thinks of a number,he doubles it and then adds 5. The result cannot be less than 100. Find the range of values of x
Answer:
2x+5 is greater than or = to 100.
2x≥95
x≥95/2
Step-by-step explanation:
PLEASE HELP ON #3 ASAP!
9514 1404 393
Answer:
1a: x+3 = 5
1c: 6 = 2z
2b: x = 2
2d: 3 = z
3: the solutions make the hangars balance
Step-by-step explanation:
1. We can write the equations by listing the contents of the hangar and using an equal sign to show the balance between left side and right side. It can work well to put left side contents of the hangar on the left side of the equal sign.
A: x + 3 = 5
C: 1 + 1 + 1 + 1 + 1 + 1 = z + z simplifies to 6 = 2z
__
2. B: We can subtract 3 from both sides of the hangar (and equation) to find the value of x.
(x +3) -3 = 5 -3
x = 2 . . . . . hangar balances with 2 on the right
D: We can divide both sides of the hangar by 2, splitting the content into two equal parts. Then one of those parts can be removed from each side.
2(3) = 2(z)
3 = z . . . . . . hangar balances with 3 on the left
__
3. The found values will keep the hangar in balance when they are substituted for the corresponding variables.
A: 2 + 3 = 5
C: 1 + 1 + 1 + 1 + 1 + 1 = 3 + 3
Tim deposit 4500 in a savings account that pays 4.5% simple interest. How much interest does she earn into years?
Answer:
ummmm is it meant to ask in 2 years instead of into years? if so
An investment will pay $100 at the end of each of the next 3 years, $250 at the end of Year 4, $300 at the end of Year 5, and $600 at the end of Year 6. If other investments of equal risk earn 12% annually, what is its present value? Round your answer to the nearest cent.
Answer:
Your parents will retire in 18 years. ... You expect to earn 12% annually on the account. ... An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, ...
Combine like terms to simplify the expression: i suck at math pls help ill even give brainliest
12 + 3y − 8 − 7y = ______
4 + 4y
5 + 3y
20 − 4y
4 − 4y
12 − 4y
Answer:
4-4y
Step-by-step explanation:
If 21 students write their names on pieces of paper and put them in a hat,
what is the probability that the first student who draws will draw his own
name?
Answer: 1/21
Step-by-step explanation:
There are 21 total slips of paper.
Only one has the persons name on it.
1/21 is the probability he chooses his name
2. The total number of fans who went to watch professional tennis games from March to
December can be modeled by the function F(x) = 90x2 + 232x² + 1075x + 3125 and the number of
professional tennis games played from March to December can be modeled by G(x) = 9x + 25
where x is the number of months since March. Which of the following expressions correctly
describes the average number of fans per tennis game?
3 Mallie purchases a $12,000 car by taking out a loan. She will pay an 8% sales tax on the price of the car. She has also agreed to pay the loan plus tax back within 36 months at a simple Interest rate of 5%. Find each value listed in the table below, as well as the minimum monthly payment Mallie should make in order to repay the loan within the allotted time. Use the space provided to show your process.
Can someone please help me with 13-16 it’s urgent I’m begging
Answer:
13.
100(256+347)=?
14.
100(64-36)=?
15.
Distributive and associative
example:
5( 2 + 3 ) + 4 =
16.
B
Step-by-step explanation:
A 6 foot man measured his shadow at13 feet 9 inches. Then he measured the
shadow of a flagpole at 125 feet. How tall is the flagpole?(Round to the
nearest tenth)
Answer:
The flagpole is 54.5 inches tall.
Step-by-step explanation:
We solve this question using proportions, by rule of three.
Each feet has 12 inches. So
A 6 foot man measured his shadow at13 feet 9 inches.
So when the real height is of 6 feet, the shadow is of 13 feet + (9/12) feet = 13.75 feet.
When the shadow is of 125 feet, the height is x. So
6 feet - 13.75 feet
x feet - 125 feet
Applying cross multiplication
[tex]13.75x = 6*125[/tex]
[tex]x = \frac{6*125}{13.75}[/tex]
[tex]x = 54.5[/tex]
The flagpole is 54.5 inches tall.
Expand
(2x + 7)(x - 5)
Answer:
[tex]2x^{2}[/tex]- 3x - 35
Step-by-step explanation:
(2x + 7)(x - 5) = [tex]2x^{2}[/tex] - 10x + 7x - 35 = [tex]2x^{2}[/tex]- 3x - 35
To expand multiply each tern in one set of parenthesis by each term in the other set:
(2x+7) (x-5)
Set up each multiplication:
2x*x + 2x*-5 + 7*x + 7*-5
Simplify:
2x^2 -10x +7x -35
Combine like terms:
2x^2-3x-35
6i-5=-17 what does i equal
Answer:
-2
Step-by-step explanation:
6i-5=-17
6i=-17+5
6i=-12
i=-12/6
i=-2
Answer:
i = -2
Step-by-step explanation:
To get "i" you need to isolate it. 6i - 5 = -17 -> 6i = -12 -> i = -2
(Brainliest plz?)
Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A
Answer:
C. Similar - AA
Step-by-step explanation:
From the diagram given, we know that all 3 angles of ∆ABC are congruent to all corresponding 3 angles of ∆DEF.
If we know just two of the angles of the two triangles given are equal to each other, it is enough information for us to prove that they are similar to each other based on the AA Similarity theorem.
The corresponding three angels of both triangles are equal, therefore, based on AA, they are similar to each other.
What does g =???
2/5g = 5