Answer:
Real distance between Manchester and London = 263.2 km
Step-by-step explanation:
Given that:
A map has a scale of 1 cm = 14 km
Ratio = 1 : 14
Distance from Manchester to London = 18.8 cm
Let,
x be the real distance between Manchester and London.
Ratio = 18.8 : x
As the relationship is proportional,
1 : 14 :: 18.8 : x
Product of mean = Product of extreme
14*18.8 = x
x = 263.2 kilometers
Hence,
Real distance between Manchester and London = 263.2 km
In a company, 90% of the workers are women . If 440 people work for the company who aren't women , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
There are total 4400 workers
Process is in photo...
The total number of workers if, In a company, 90% of the workers are women, If 440 people work for the company who aren't women is 4400.
What is percentage?
As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
In a company, 90% of the workers are women,
If 440 people work for the company who aren't women,
Calculate the percentage of people who aren't women as shown below,
The percentage of people who aren't women = 100% - the percentage of women
The percentage of people who aren't women = 100% - 90%
The percentage of people who aren't women = 10%
Assume that there are a total of x workers then according to the statement,
10% of x = 440
10 / 100 × x = 440
x = 440 × 100 / 10
x = 4400
To know more about percentages:
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On Wednesday, 9 out of every 11 students attended tutoring. If 55 students were assigned tutoring, how many students did not attend tutoring
Answer:
10 students
Step-by-step explanation:
Hi there!
To find the answer, we first know that 9/11 students attend tutoring.
If 55 are assigned, that means that 45/55 students showed up.
This is because 11 * 5 = 55, which means this can be solved fairly easily now.
Since we multiplied the denominator, 11, by 5, we have to do the same thing to 9.
9 * 5 = 45
Now we have 45/55. We know that 45 students out of the 55 that were assigned showed up, but its asking for how many did not show up, so we just subtract 45 from 55 to get 10.
10 students did not show up for tutoring.
I hope this helped!
Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft
Answer:
24
Step-by-step explanation:
i did it on edge
The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side in the right triangle."
What is Pythagoras theorem?"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."
What is sine of angle?"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "
For given question,
Consider the following figure.
In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.
WY represents the ladder.
that is the hypotenuse of right triangle WXY is the length of the ladder.
A ladder leans against a building and forms a 75 degree angle with the ground
⇒ ∠WYX = 75°
Consider the sine of ∠WYX .
[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]
This means the hypotenuse WY is approximately 24 ft.
Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.
Learn more about the hypotenuse here:
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DESCRIBE THE GENERAL STRUCTURE OF THE OCEAN FLOOR! (Not math)
Answer:
A lot of sand :D
Given the diagram and AB || CD, which of the following
statements is most likely to be used to show that
AECD - AEAB?
A
С
A
E
3
D
ZECD=ZECD
ZABEZECD
ZEABELECD
LEDCZEAB
PLEASE HELP WITH THE MIDDLE ROW THIS IS DUE IN 5 MIN
Answer:
4.) 8%
5.)56%
6.)90%
10.)107%
11.)275%
12.)0.75%
13.)33/400
14.)30.5/100
15.)200/3
16.)62.5
17.)75%
A triangle has a perimeter represented by the expression 9x + 7
A square has a side length represented by 4x – 3.
Which expression represents the total perimeter of the two figures?
A) 20x
B) 4x2 + 9x – 5
C) 13x + 4
D) 25x – 5
Answer:
D. 25x-5
Step-by-step explanation:
you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.
How many 1/4 cup servings are in an 8 -cup box of cereal? 32 servings 1/4 servings 6 servings 2 servings?
Answer:
32
Step-by-step explanation:
The graph of h(x)=|x-10|+6 is shown on whitch interval is the graph increasing
what does x equal in this problem? x/12 - 5 = -6
Answer:
x=-12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Please help help help help help im having trouble with this problem what is the answer
HELP ME PLEASE.......
Answer:
Y intercept: 1
Slope: -1/3
Equation would be y=-2/3x+1
Step-by-step explanation:
Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her total cards to her friend. If Carlos has 76 cards, how many cards do they have together?
Answer:
247 cards
Step-by-step explanation:
Misha : Carlos = 9 : 4
Carlos = 76 cards
Misha = x cards
9 : 4 = x : 76
9/4 = x/76
Cross product
9 * 76 = 4 * x
684 = 4x
x = 684 /4
x = 171
Misha = 171 cards
how many cards do they have together?
Total cards altogether = Misha + Carlos
= 171 cards + 76 cards
= 247 cards
Total cards altogether = 247 cards
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?
Gym B charges $1.05 less per hour than Gym A.
Gym B charges $1.50 less per hour than Gym A.
Gym B charges $5.25 less per hour than Gym A.
Gym B and Gym A charge the same hourly rate for childcare.
someone, please help !!
Answer:
gym a and b charge the same
Step-by-step explanation:
5 mins x 12 = 60 mins o.75 x 12 = 9
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
Step-by-step explanation:
$0.75 per 5 minutes
$9.00 per haur
5 × 12 = 1 haur
$0.75 × 12 =$9.00
According to the graph, what is the value of the constant in the equation below?
Answer:
36.
Step-by-step explanation:
plug in the numbers. height=constant/width
height=18
width=2
18=×/2
18×2=36 or 36/2=18
Which equation represents a linear function?
Answer:
y=x-3
Step-by-step explanation:
PLEASEEE HELPPPP ASAPPP PLEASE
(3,6)
(3,-3)
What is the slope
Answer:
The slope is 3. Thats what my friend said
Step-by-step explanation:
Write 2x+y=3 in slope-Intercept form.
O a) y2x+3
O c) y--2x+3
b) y-2/3x-2
d) y=-2x-3
Answer:
Step-by-step explanation:
the slope intercept form is y= mx+b so rearranged
2x+y = 3 ; subtract 2x from both sides
2x-2x +y = -2x+3
y= -2x +3
ill give u braillist
can someone plz HELPPPPPP!!!!!!!!!
Answer:
The slope is two and the y-intercept is (0,1)
From birth to age 1, baby elephants grow about 220%. If an elephant was 400 pounds at birth, how much does it weigh at age 1?
Answer:
840lbs because that's how much
Answer:
880 pounds
Step-by-step explanation:
400 x 2.2 = 880
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x is greater than or equal to 42 inches (I can't do the smybol for it)
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM I WILL FAIL
Answer:
The answer is b
Step-by-step explanation:
plzz help me
Solve -24 = 6x. Show your work.
Answer:
x = -4
Step-by-step explanation:
-24 = 6x
________
Switch sides:
6x = -24
________
Divide both sides by 6:
6x/6 = -24/6
________
Simplify:
X = -4
Answer:x = -4
Step-by-step explanation:
I honestly don't get this, need help
what do you need help with?
Solve.
Enter any fraction as a simplified fraction.
[tex](5\sqrt{5})^{-2x+1} = \frac{1}{5} * 125^{x-3}[/tex]
Step-by-step explanation:
(5√5)^(1-2x) = 1/5 * 125^(x-3)
(5^1.5)^(1-2x) = 5^(-1) * 125^x / 125^3
5^1.5 / 5^3x = 5^(-1) * 5^(3x) / 5^9
5^1.5 / 5^3x = 5^(3x) * 5^(-10)
5^(1.5 - 3x) = 5^(3x - 10)
=> 1.5 - 3x = 3x - 10
=> 6x = 11.5
=> x = 23/12.
PLEASE HELP!!!!!!
Rotate the given triangle 270°
counter-clockwise about the
origin.
2 21
-1 -1 3
-1
[1 1
?
[
-1
1
11
9514 1404 393
Answer:
[tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]
Step-by-step explanation:
The 270° CCW rotation is described by the transformation ...
(x, y) ⇒ (y, -x)
That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.
[tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]
Need help asap! What is x and y?
Answer:
C
Step-by-step explanation:
I THINK THAT IS THE ANSWER.
solve for x, i'll give brainiest.
Answer:
16
Step-by-step explanation:
6x=2x+68
6x-2x=68
4x=68
x=17
Answer:
17 or 16
Step-by-step explanation:
you will get 16 but if you round it then it's 17
Mortgage loan of $84,000.
Interest rate is 6 percent.
Monthly payment is $504.
How much of the first monthly payment is for interest?
Answer: $420
Step-by-step explanation:
The monthly payment has both an interest component and a principal repayment component.
The interest component is based on the total loan amount(principal) still due at the time and the principal repayment component will be the rest of the payment.
First convert the interest rate to a monthly interest rate as the payments are done monthly:
= 6%/12
= 0.5%
Interest = Principal remaining * interest rate
= 84,000 * 0.5%
= $420
Answer:
420
Step-by-step explanation: