[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]
Number of bad guys = 12
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
Ratio of good to bad guys = 15:4 = 15/4
No. of good guys = 75
Let the no. of guys be x
⇒ 15:4 = 75:x
⇒ 15/4 = 75/x
Cross multiplying
15 x = 75×4
x = (75/15)×4
No. of bad guys = (75/15)×4
= 3 × 4
No. of bad guys = 12
Hence, there are 12 bad guys.
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A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.
Answer:
Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing (type an inte...
3.8×102+1.7×103 giving answer in standard form
Answer: 5.15 x 10^2
Step-by-step explanation:
3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2
help me out guys!!!!!!!
Answer:
[tex] \frac{5 \sqrt{11} }{11} [/tex]
you are correct !!
Expand and simplify 4(x-3)+3(2x-5).
[tex]4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27[/tex]
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?
Answer:
25
Step-by-step explanation:
what is 4.5 18% of
100 / 18 = 5.56
4.5 x 5.55... = 25
To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how many cups of batter should she use
Answer:
2
Step-by-step explanation:
Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.
Has a slope of -2/5 and goes through (-10,-1)
Answer:
Below in bold.
Step-by-step explanation:
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
y - (-1)) = -2/5(x - -10)
y + 1 = -2/5(x + 10)
y + 1 = -2/5x - 4
y = -2/5x - 5.
In standard form this is:
2x + 5y = -25.
x - y = -4
-5 + 6y = 22
The answer is (-2,2) but i just need to show the work for it so please help with that.
Answer:
(-2, 2).
Step-by-step explanation:
x - y = -4
-5x + 6y = 22 Multiply the first equation by 5:
5x - 5y = -20 Now Add the last 2 equations:
y = 2.
Substitute y = 2 in the first equation:
x - 2 = -4
x = -4 + 2
x = -2.
Answer:
x=1/2, y=9/2. (1/2, 9/2).
Step-by-step explanation:
x-y=-4
-5+6y=22
--------------
y=x-(-4)
y=x+4
-5+6(x+4)=22
-5+6x+24=22
6x+24-5=22
6x+19=22
6x=22-19
6x=3
x=3/6
x=1/2
y=1/2+4=1/2+8/2=9/2.
(fog) f(x) = 1/x g(x) square root x+3
Answer:
see the step below, but I'm not sure if this you want
Step-by-step explanation:
[tex](fog) = \frac{1}{ \sqrt{x + 3} } [/tex]
[tex](fog) = \frac{ \sqrt{ x + 3} }{x + 3} [/tex]
A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?
Answer:
8/10
Step-by-step explanation:
id hope your have a great day
Answer:
80%
Step-by-step explanation:
80÷100=.8 which is 80%
If the sum of six consecutive even integers is 438, what is the smallest of the six integers?
My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
By knowing that S is bisected by the line shown, we will conclude that PD = 8
So here we know that PC = 8, we also can see that:
PCS is a right trianglePDS is a right triangle.Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.
Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.
And notice that both of these triangles share one side, then:
Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.
This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.
Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.
So you are correct.
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PLEASE PLEASE PLEASE SOMEONE HELP ME PLEASE I BEG U PLEASE PLEASE !!!!!!!
Answer:
Right ear a.d. = auris dextra
Step-by-step explanation:
mathematics may not have been the best place to ask this question.
Answer:
ad meaning right ear so C
Step-by-step explanation:
review the proof (not in order) of the identity tan(0/2) = + √1-cos(0)/1+cos(0)
which is the correct sequence of steps
Answer:
1-3-4-2-5
Step-by-step explanation:
[tex]tan\frac{\theta}{2}[/tex] <== Given
[tex]\frac{sin\frac{\theta}{2}}{cos\frac{\theta}{2}}[/tex] <== Step 1
[tex]\frac{\frac{\sqrt{1-cos\theta}}{2}}{\frac{\sqrt{1+cos\theta}}{2}}[/tex] <== Step 3
[tex]\frac{\sqrt{1-cos\theta}}{\sqrt{1+cos\theta}}[/tex] <== Step 2 (as a result of Step 4)
[tex]\pm\sqrt{\frac{1-cos\theta}{1+cos\theta} }[/tex] <== Step 5
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
The bisector of a given angle
Step-by-step explanation:
Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.
Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a
histogram showing her data:
# of messages
2
0
0
20
40
60
80
100 120
# of characters
Which interval contains the median number of characters?
The median of a histogram is the middle element of the histogram.
The interval contains the median number of characters is 20 - 30
The number of characters is given as:
[tex]n = 9[/tex]
The median position is then calculated as:
[tex]Median = \frac{n + 1}{2}th[/tex]
So, we have:
[tex]Median = \frac{9 + 1}{2}th[/tex]
Add 9 and 1
[tex]Median = \frac{10}{2}th[/tex]
Divide 10 by 2
[tex]Median = 5th[/tex]
So, the median is the 5th position.
From the histogram (see attachment), the 5th element is in the interval 20 to 30.
Hence, the interval contains the median number of characters is 20 - 30
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Who invent natural numbers???
Answer:
nobody
Step-by-step explanation:
Humans have made use of natural numbers as long as humans have been around. Counting numbers are wired into our consciousness, as they are for many living things.
Research has demonstrated some plants can count up to 5 (generally, carnivorous ones). Honeybees have long been known to be able to count to 4, and recent research shows they can count higher. Fish can count; birds can count; as can many other species.
For most, it takes concentration and/or training to count beyond 4. We are born with an understanding of 1, 2, 3, more.
Nobody "invented" natural numbers.
_____
Additional comment
Prey species survive by being able to count predators. Some predators take advantage of the limitations of number recognition by hunting in groups larger than can be readily counted.
II
Homework: Secti...
Question 2, 7.1.5
>
Find the critical value Za/2 that corresponds to the given confidence level.
95%
.....
za/2
(Round to two decimal places as needed.)
(
Answer:
2.17
Answer and Explanation:
The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...
Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
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A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters.
Calculate the volume of the storage tank to the nearest hundredth.
Answer:
ur mom
Step-by-step explanation:
ur mom + 3= 69
The volume of the storage tank to the nearest hundredth is 2840.04 m³.
Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.
The volume of a cone formula is 1/3 πr²h.
Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula
That is, 1/3 × 3.14 × (10.7)² × 23.7
= 2840.0389 m³
≈ 2840.04 m³
Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.
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If xy + xb + ya + ab = 32 and x + a = 4 , then x + b =
and i will give BRAINLIEST
Answer:
Step-by-step explanation:
If you're actually looking for y + b rather than x + b
Then
xy + xb + ya + ab = (x + a)(y + b) = 32
4(y + b) = 32
y + b = 8
otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.
If A is the center of the circle which of these is/are radii
Answer:
it could be
A to B
A to E
or A to F
all of them would work
Answer:
segments EA, AB, FA
Step-by-step explanation:
These points are all from the circumference, connecting to the radii, A.
Factor the following expression completely: 3x^2+9x+6
Answer:
The answer is 3(+1)(+2)
Answer:
3(+1)(+2)
Step-by-step explanation:
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
Susanna walked 2/7 of a mile in two over five of an hour what is a unit rate in miles per hour
Answer:
speed = distance/ time so:
(2/7) / (2/5) = (2/7) x (5/2) = 10/14 = 5/7 mph
5/7 = 0.71 miles per hour if you need decimal formatStep-by-step explanation:
Step-by-step explanation:
2/7 miles in 2/5 hours.
to bring this to x miles / 1 hour, we must find the factor for 2/5 to turn into 1.
2/5 × f = 1
f = 5/2
in order to keep the value of the original ratio, we now need to multiply also 2/7 by the same factor (5/2).
2/7 × 5/2 = 10/14 = 5/7
so, the unit rate is 5/7 miles / hour.
which is very slow walking.
A proportional relationship is formed when y = 24 and x = 32. What is the value of y when x = -2? Explain how you solved the problem.
Answer:
-1.5
Step-by-step explanation:
24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.
First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02
24 : 32 = 24/(-16) : -2 = -1.5 : -2
9 X 19 + 2 X 57 - 75 = n
Answer:
210
Step-by-step explanation:
juss a fact
Answer:
210
Step-by-step explanation:
First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210
The area of the Mountain Island Educational State Forest in North Carolina is 3 square miles. What is the area, in square yards, of this forest
The area of the forest in square yards is [tex]9.3 \times 10^6[/tex]
The area of the forest in square miles is given as:
[tex]Area = 3mi^2[/tex]
To convert the area to square yards from square miles, we multiply the area by 3.098 * 10^6.
So, we have:
[tex]Area = 3 \times 3.098 \times 10^6yd^2[/tex]
Evaluate the product
[tex]Area = 9.294 \times 10^6yd^2[/tex]
Approximate
[tex]Area = 9.3 \times 10^6yd^2[/tex]
Hence, the area of the forest in square yards is [tex]9.3 \times 10^6[/tex]
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What is it okzzzzzzzzzzzzZ
Answer:
2
Step-by-step explanation:
the coefficient is the number in front of the variable (the number being multiplied by the variable).
Find the difference. 2/5(d-10)-2/3(d+6)
[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]