Answer:
[tex]x < 5[/tex]
Step-by-step explanation:
[tex]3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x[/tex]
[tex]x < 5[/tex]
It takes a smaller hose 4 times as long to fill a certain swimming pool as it does a larger hose. It take both hoses working togetger 15 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself?
Answer:
Larger hose will take 18 minutes and 45 seconds
Step-by-step explanation:
ONE smaller hose fills the pool in 5*15 = 75 minutes.One large hose can do this job in 75/4 minutes = 18 3/4 minutes = 18 minutes and 45 seconds
The larger hose will take 18 minutes and 45 seconds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
One smaller hose fills the pool in 5 x 15 = 75 minutes.
One large hose can do this job,
Time = 75/4 minutes = 18 3/4 minutes
Time = 18 minutes and 45 seconds
Therefore, the larger hose will take 18 minutes and 45 seconds.
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A stone fell from the top of a cliff into the ocean.
In the air, it had an average speed of 16. In the water, it had an average speed of 3 before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in the air and how long did it fall in the water?
Answer:
5 seconds.
Step-by-step explanation:
Make an equation.
Time in air = x
Time in water = 12 - x
16x + 36 - 3x = 127
13x = 91
x = 7
12 - 7 = 5
please help, i need this done asap!
Answer:
[tex]}\frac{\sqrt{2} }{2}[/tex] or 0.707
Step-by-step explanation:
cos(315) is equivalent to cos ([tex]\frac{7\pi }{4}[/tex])
You can look at the unit circle to find the cos value for this. Keep in mind that cos is the x value of the corresponding coordinate.
What is the image point of (9,0) after a translation left 2 units and up 5 units?
Answer:
(7, 5)
Step-by-step explanation:
9-2=7 x-coordinate
0+5=5 y-coordinate
The probability of a chance event is 0.8, it is __________ to happen when compared to a chance event with a probability of 0.9. Select one: equally likely less likely more likely both more and less likely
Answer:
less likely
Step-by-step explanation:
In the question, we are to choose which of the options best fit into blank space.
Talking about probabilities, the probability of events ranges from 0 to 1. With 1 being the highest value the probability of an event can take while 0 is the lowest value the probability of an event can take. The probability of an event can neither be negative, nor greater than 1. It lies between 0 and 1
Now, the closer a probability is to 1, the greater the likelihood of that particular event happening. Events having probabilities closer to 1 are more likely to occur than those farther away from 1 or closer to zero.
In this question, 0.9 is a greater value compared to 0.8. Thus, an event of probability 0.9 is more likely to happen compared with an event with probability of 0.8
In other words, an event with probability 0.8 is less likely to occur compared with an event with a probability value of 0.9
Question 1 help pls
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation of line
A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What interest rate is being earned annually on this account?
2.20%
.045%
2.25%
4.5%
Answer:
D. 4.5%.
Step-by-step explanation:
Interest earned in 6 months = 572.6 - 560 = $12.60.
As a percentage this is (12.60 * 100) / 560
= $ 2.25%.
So the annual interest is 2 * 2.25
= 4.5%.
Answer:
4.5%
Step-by-step explanation:
2nd question help plzz
Answer:
the length of the arc = 4
Step-by-step explanation:
72/360=x/20
360x=1440
x=4
Therefore, the length of the arc = 4
I hope this helped and have a good rest of your day!
Answer:
The answer would be arc=4
Step-by-step explanation:
What is the expected number of female children with three children?
Answer:
2
Step-by-step explanation:
The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain
country.
Which of the following statements best describes the data on the scatter plot?
a) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) - 39.67t +0.37.
b) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = -0.24t+74.33
c) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.
d) The data on the scatter plot does not suggest a linear association, so it cannot be modeled by a linear function.
Answer:
L (t) = 0.37t + 39.67
Step-by-step explanation:
I have this question
The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain country.
According to the given statements,
Statement(3):-
The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.
Therefore, Statement (3) is CORRECT.
Learn for more similar logical questions here: https://brainly.com/question/16915795
Andre notices that he is a little taller than Heather, who described her height as h is greater than 150 and h is less than 160 Andre is also shorter than their math teacher who is 164 centimeters tall.
Answer:
a> ha<164Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Andre notices that he is a little taller than Lin, who described her height as h > and 150 h < 160 but andre is also shorter than their math teacher who is 164 centimeters tall. select the two inequalities that describe andress height
Please have a look at the attached photo.
My answer:
Math teacher's height: 164 cm
Let Andre height is :a
We have Heather height: h
<=> h > and 150 h < 160
<=> 150 < h < 160
=> two inequalities that describe Andres height
a> ha<164Hope it will find you well
find a attached the question
Answer:
Using distance formula :
AB = [tex]\displaystyle \sqrt{(10-1)^2 + (3 - 7)^2}[/tex]
AB = [tex]\sqrt{81 + 16}[/tex]
AB = 9.85 units
What is (2x + 3) to the 2 power
Answer:
4x² + 12x + 9
Step-by-step explanation:
Simplify. Expand:
(2x + 3)² = (2x + 3)(2x + 3)
Use the FOIL method to solve.
FOIL =
First
Outside
Inside
Last
Multiply:
(2x)(2x) = 4x²
(2x)(3) = 6x
(3)(2x) = 6x
(3)(3) = 9
Combine like terms:
4x² + 6x + 6x + 9 = 4x² + (6x + 6x) + 9 = 4x² + 12x + 9
4x² + 12x + 9 is your answer.
~
Answer:
4x^2+12x+9
Step-by-step explanation:
use FOIL (first, inner, outer, last)
(2x+3)(2x+3)
4x^2+6x+6x+9
then simplify
g) 0, 2, 4, 6, 12, ____, 28, ____, 60
Answer:
14 and 30
Step-by-step explanation:
my reasoning is the values are half of each other
Answer:
14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60
Step-by-step explanation:
Find the magnitude of WX for W(3, -3, 1) and X(8, -3, -6)
Answer:
Step-by-step explanation:
[tex]WX=\sqrt{(8-3)^2+(-3+3)^2+(-6-1)^2 } \\=\sqrt{25+0+49} \\=\sqrt{74}[/tex]
Answer:
sqrt 74
Step-by-step explanation:
edge 2020, just did the practice
A pet store owner, Brooklyn, needs to determine how much food she needs to feed the animals. Brooklyn knows that she needs to order the same amount of bird food as hamster food. She needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Brooklyn orders 600 packages of animal food, how much dog food does she buy? Let b represent the number of packages of bird food Brooklyn purchased for the pet store.
Answer:
She ordered 85.7 packages as dog food
Step-by-step explanation:
Let b represent bird food, d represent dog food and c represent cat food.
The bird food is 4 times as much dog food. This can be represented as b = 4d
Also, the dog food is half the amount of cat food, it can be represented as d = 1/2c. Therefore, c = 2d
The total feed is 600.
Therefore dog feed + cat feed + bird feed = 600
d + 2d + 4d = 600
7d = 600
d = 600/7 = 85,7
She ordered 85.7 packages as dog food.
HELP PLEASE! URGENT!
Which polynomial represents the sum below?
2x^6 + 8x^2 - x + 1
+
3x^6 + 5x^5 + 1
Answer:
[tex] \boxed{B. \: 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2} [/tex]
Step-by-step explanation:
[tex] = > (2 {x}^{6} + 8 {x}^{2} - x + 1) + (3 {x}^{6} + 5 {x}^{5} + 1) \\ \\ = > 2 {x}^{6} + 8 {x}^{2} - x + 1 + 3 {x}^{6} + 5 {x}^{5} + 1 \\ \\ = > 2 {x}^{6} + 3 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 1 + 1 \\ \\ = > 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2[/tex]
The polynomial representing the sum is [tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).
The polynomial that represents the sum of the two polynomials is:
[tex](2x^6 + 8x^2 - x + 1) + (3x^6 + 5x^5 + 1)[/tex]
Combining like terms, we can simplify the expression:
[tex]2x^6 + 3x^6 + 8x^2 + 5x^5 - x + 1 + 1[/tex]
Now, combining the like terms further:
[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex]
Therefore, the polynomial that represents the sum is:
[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).
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Chris achieved these scores in his exams. What was his best result?
a) 34 of 60 for history
b) 29 of 50 for science
c) 39 of 70 for Music
d) 44 of 80 for Math
Answer:
b) 29 of 50 for science
Step-by-step explanation:
We would be finding out his best results by calculating the percentage of his scores in the various exams he took.
a) 34 of 60 for history
34/ 60 × 100 = 56.67%
b) 29 of 50 for science
29/50 × 100 = 58%
c) 39 of 70 for Music
39/70 × 100 = 55.7%
d) 44 of 80 for Math
44/80 × 100 = 55%
Looking at the percentage of his scores in various subject in his exams, the subject with the highest percentage is the subject where he had the best result.
That subject with 58% = 29/50 for science.
Therefore, his best results is option b) 29 of 50 for science.
what is the circumference of a circle with a diameter of 4.1 cm ?
use 3.14 for pi.
Answer:
12.874cm
Step-by-step explanation:
given
r=d/2=4.1cm/2=2.05cm
c=2πr
c=2×3.14×2.05cm
c=2×3.14×2.05cm
c=6.28×2.05cm
c=12.874cm
What happens when there is no outliner on a line plot
Answer:
the slope is smaller
Step-by-step explanation:
What is the y-intercept of this table?
X
у
-2
80
-1
70
0
60
1
50
2
40
Answer:
Step-by-step explanation:
The y-intercept exists when x = 0. So where x = 0, from the table we can see that y = 60. The y-intercept for the table is 60.
Answer:
60
Step-by-step explanation:
Write p(x) = 21 + 24x + 6x2 in vertex form. p(x) = (x + )2 –
Answer:
P(X) = (x-7.79)(x+11.79)
Am here
Step-by-step explanation:
The expression is solved using the general formular for quadratic equation.
Attachment shown below for easy articulation of this formula.
Answer:
6
2
3
Step-by-step explanation:
An hour before show time, only 342 people are seated for a rock fest. According to ticket sales, 91% of the people have yet to arrive. How many tickets were sold for the rock fest? Explain your thinking.
Answer:
3800
Step-by-step explanation:
342 is the 9 percent that have shown up. If you divide that by nine you would get on percent of the total which comes out to be 38. so you multiply 38 by 100 and get 3800 which is 100% of the tickets sold.
plz help me i dont understand
Answer: "x" : 3, "star" : 2/3, "circle" : 2 1/3, "square" : 4 2/3
Step-by-step explanation:
The number line is divided into segments that are thirds of a whole number. The question is asking where the shapes fall on the number line. For shapes that do not fall on a whole number, they fall on a fractional portion of a whole number, hence why they are a mixed number.
A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 950 downloads of the song, for a total download size of 3284 MB. How many downloads of the standard version were there?
Number of standard version downloads: ?
Answer:
560 downloads of standard version downloads.
Step-by-step explanation:
Let there were number of standard version of downloads = x
and number of high quality version of downloads = y
There were total 950 downloads of the both type of songs.
x + y = 950 -----(1)
Size of the standard version songs = 2.8 MB
and the size of the high quality version songs = 4.4 MB
Total download size = 3284 MB
2.8x + 4.4y = 3284
7x + 11y = 8210 -----(2)
Multiply equation (1) by 11 (-) equation (2)
(11x + 11y) - (7x + 11y) = 10450 - 8210
4x = 2240
x = 560
There were 560 downloads of the standard version downloads.
Please help i need to know the equation of the line
Answer:
y = 1x - 5
Step-by-step explanation:
It looks like the form that they want is Slope Intercept Form. :(
y = mx + b
The two points on the line are (5, 0) and (0, -5)
The slope is 1
The y - intercept is -5
y = 1x - 5
Answer:
1 * x - 5
Step-by-step explanation:
Y = mx + b
the equation will be 1 * x - 5
Please mark as brainliest
analyzing box plots
Answer:
see below
Step-by-step explanation:
a
The IQR is the right side of the box minus the left side of the box
6 - 1 = 5 true
b
The range is the right dot minus the left dot
7 - 0 = 7 false
c
Each part of the box is 25% so Between 1 and 4 is 25% false
d
Between the left dot and the line is 25% and the left line and the middle is 25% Between 0 and 4 is 50% of the data
Between 4 and 7 is 50% of the data about 50% have at least 4 pets true
e
Between the left dot and the line is 25% and that is between 0 and 1 pets
true
what is the answer to simplify 5^-4/5^3
Answer:69
Step-by-step explanation:ejwndj wdedwedew
Answer:
1/ 5^7
Step-by-step explanation:
5^-4 / 5^3 is the same as (5^-4 / 1) * (1/5^3)
5^-4 turns into 1 / 5^4
So you have 1/ (5^4 * 5^3)
When multiplying two of the same numbers you add the exponents giving you 1/ (5^7)
Nicole runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
4.8
Step-by-step explanation:
Answer:
4.8 miles
Step-by-step explanation:
Let's make a proportion using this setup:
miles/minutes=miles/minutes
We know that Nicole runs 6 miles in 55 minutes. We don't know how many miles she runs in 44 minutes, so we can say she runs x miles in 44 minutes.
6 miles/55 minutes=x miles/44 minutes
6/55=x/44
Now, we have to find x. To do this, we need to get x by itself. x is being divided by 44. To undo this, multiply both sides by 44, since multiplication is the opposite of division.
44*(6/55)=(x/44)*44
The 44s on the right cancel, so we are left with:
44*6/55=x
4.8=x
Nicole can run 4.8 miles in 44 minutes
list the intergers that satisfy both these inequalities 2x+9<0 and x>-12
Answer:
-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1
(would really, reallly appreciate the brainliest)
Step-by-step explanation:
2x+9 < 9
can be rewritten as
2x < 0
and therefore
x < 0
the other inequality states that x hat to be bigger then -12
so all integers that satisfy -12 < x < 0 are in the set we search, but be aware that -12 and 0 don't fall into this set, bc -12 for example isn't bigger than -12
Answer:
The integers that satisfy both inequalities are -5, -6, -7, -8, -9, -10 and -11.
Step-by-step explanation:
Firstly, you have to solve the inequality :
[tex]2x + 9 < 0 [/tex]
[tex]2x < - 9[/tex]
[tex]x < - \frac{9}{2} [/tex]
[tex]x < - 4.5[/tex]
Next, given that x is greater than -12 but smaller than -4.5 so the inequality for x is :
[tex] - 12 < x < - 4.5[/tex]
Integer is a positive or a negative number but 'cannot be written in the form of decimal'. So the integers that satisfy both inequalities are :
[tex] - 12 < x < - 4.5[/tex]
[tex]x = - 11, - 10, - 9, - 8, - 7, - 6, - 5[/tex]