Answer:
+ 9
Step-by-step explanation:
Given the expression is a perfect square of the form
(ay + b)² = a²y² + 2aby + b² = 49y² + 42y +
Comparing coefficients of like terms
a² = 49 ( take the square root of both sides )
a = [tex]\sqrt{49}[/tex] = 7
2ab = 42 ( divide both sides by 2 )
ab = 21 , then
7b = 21 ( divide both sides by 7 )
b = 3, thus
b² = 3² = 9
Hence
49y² + 42y + 9 = (7y + 3)²
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Please help I really need this!
Answer:
Side known in ratio as 8: 32
Side known in ratio as 9: 36
Side known in ration as 10: 40
Step-by-step explanation:
We can add all the numbers in the ration to form the sum of all the sides, or also equal to perimeter. 8+9+10 equals 27.
So we can write 27x=108
x=4. Multiply 4 to 8, then 9, then 10. You get 32, 36, 40
Hope this helped, Have a Great Day!!
What fraction goes in the box to make it correct?4×□=1
Answer:
1/4
4 × .25 = 1
A scale drawing of an airplane is shown with a scale of 24 feet = 1 centimeter. What is the length of the actual plane?
Answer:
144 feet
Step-by-step explanation:
I forgot how it is that answer but I am sure that is the answer.
Tony makes a phone call at a pay phone. The charge is 25 cents for the first four minutes,
and 10 cents for each additional minute. Tony has $2.10 in change in his pocket. Write an
inequality that can be used to find m, the maximum number of minutes that Tony can talk
on the phone. Solve this inequality algebraically to find the maximum number of whole
minutes he can talk on the phone.
Answer:
it would be a max of 22 mins
Step-by-step explanation:
25C=4 mins
10C*10 mins =1$
$1.25
2.10-1.25=.85
10C*8=80C
so
4+10+8=22
Tony can talk for a maximum of 22 minutes on the phone which is determined by the inequality 0.25 + 0.10 (x-4) ≤ 2.10.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
According to the given question, we can write the inequality would be as:
⇒ 0.25 + 0.10 (x-4) ≤ 2.10
x = an integer number of minutes.
Subtraction is required since the first four are covered by the 0.25 price. Because fractional minutes count as a full minute, an integer is required.
⇒ 0.25 + 0.10x -0.40 ≤ 2.10
⇒ -0.15 +0.10 x ≤ 2.10
⇒ 0.10x ≤ 2.25
⇒ x ≤ 2.25 /0.10
⇒ x ≤ 22.5 ≈ 22
Therefore, the maximum number of whole minutes will be 22 minutes.
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What’s the constant rate of change
Answer:
1:5
Step-by-step explanation:
So you can look at the first point and see its 5,25 so to find the rate of change you turn the 5 into a 1 by dividing 5/5 which would be 1 but you need to do the same to both sides so you divide 25 by 5 and get 5 so you have the 1 and 5 and you can turn it back to a ratio by putting : instead of the and so it would be 1:5!
identify the x-intercept of −5x+y=−10
Answer:
(2,0)
Step-by-step explanation:
You know that y for your x-intercept has to be 0 so just plug in 0 for y and solve from there
!help ASAP ( FREE BRAINLIST:)
Answer: (1,500 = 30) (90 = 1.80)
Step-by-step explanation:
(1,500 = 30) (90 = 1.80) - This I'm pretty sure is the answer.
The number of hours slept at night is related to the number of minutes spent exercising that day. A collection of data on the number of minutes spent exercising, x, and the number of hours slept, y, is shown in the table.
x 30 37 40 45 52 55 61 65 71 76
y 6.25 6 6.5 7 6.5 7.25 7.5 8 8.65 8.5
Which linear equation best models the relationship between x and y?
Answer:
the answer is A
Step-by-step explanation:
took the test
Solve the following inequality using the algebraic approach:
5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4
Answer:
b. x less-than StartFraction 10 Over 3 End fraction
The solution for the given inequality is x<4. Therefore, option D is the correct answer.
Given that, 5x-1<2x+11.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here, inequality 5x-1<2x+11 can be solved as follows
Add 1 on both the sides of inequality, we get
5x<2x+12
Subtract 2x on both the sides of inequality, we get
3x<12
Divide 3 on both the sides of inequality, we get
x<4
The solution for the given inequality is x<4. Therefore, option D is the correct answer.
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Eli takes a typing test and types all 180 words in 1 12 hour. He takes the test a second time and types the words in 1 15 hour. Was he faster or slower on the second attempt? Drag and drop the correct word or number into each of the boxes to complete the explanation. Eli typed on his second attempt. He typed words per minute on his first attempt and words per minute on his second attempt.
Step-by-step explanation:
Eli typed faster on his second attempt, 120 words per minute on his first attempt and 150 words per minute on his second attempt.
What is Fraction?A fraction represents a part of a whole.
We need to calculate his typing speed for each attempt.
On his first attempt, Eli typed 180 words in [tex]1\frac{1}{2}[/tex] hours, which is the same as typing 120 words in 1 hour.
Therefore, his typing speed on the first attempt was 120 words per minute.
On his second attempt, Eli typed 180 words in [tex]1\frac{1}{5}[/tex] hour, which is the same as typing 150 words in 1 hour.
Therefore, his typing speed on the second attempt was 150 words per minute.
Comparing the two speeds, we see that Eli was faster on his second attempt, typing 150 words per minute compared to 120 words per minute on his first attempt.
Therefore, Eli typed faster on his second attempt, 120 words per minute on his first attempt and 150 words per minute on his second attempt.
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Mean Versus Median
1) Sarah and Andrew were comparing prices of their favorite energy bar. Eight grocery stores
sell the PR energy bar for the following prices:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Sarah claims the average price of the candy bar is $1 37 but Andrew disagreed and said the
average price of the energy bar is actually $1.41. How did Sarah and Andrew come up with these
prices? Based on their calculations, who do you think is correct and why?
My
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Average value :
Sarah = $1.37
Andrew = $1.41
Obtaining the median:
(n + 1) / 2
n = number of observations = 8
(8 + 1) / 2 = 9 /2 = 4.5th observation
(4th +. 5th observations) / 2
(1.35 + 1.39) / 2 = $1.37
Finding the mean:
($1.09 + $1.29 + $1.29 + $1.35 + $1.39 + $1.49 + $1.59 + $1.79) /8
$11.28 / 8
= $1.41
Hence, the actual. Average value is the mean value of the data.
The median only gives the value at the middle of the distribution and not the average.
1 point
A cable company charges $70 per month for cable service for existing
customers. For new customers, there is an additional one-time $100
service fee. What is a linear equation for this situation? *
y = 70%
y = 70x + 100
y = 100x
y = 100x + 70
Also, what is the y-intercept? *
Answer:
70x + 100
Step-by-step explanation:
Trust me on this one
What rate of interest compounded annually is required to double an investment in four years
Answer:
18.92%
Step-by-step explanation:
3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither
Answer:
The two lines are neither
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]∵ The equations of the lines are
8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd∵ In the 1st equation a = 8 and b = 1
∴ m1 = [tex]\frac{-8}{1}[/tex] = -8
∴ The slope of the 1st line is -8
∵ In the 2nd equation a = 4 and b = 3
∴ m2 = [tex]\frac{-4}{3}[/tex]
∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]
→ By using the facts above
∵ m1 ≠ m2
∴ The two lines are not parallel
∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]
∴ m1 × m2 ≠ -1
∴ The two lines are not perpendicular
∴ The two lines are neither parallel nor perpendicular
can anybody help with this? pretty important
Answer:
I'm pretty sure it's b or c but I think c
Which number is the greatest?
Select one:
103
72
94
178
Help plz!!!!!!!!!!!!!!!!!!!!
Answer:
78.85
Step-by-step explanation:
i was doing fine until i came to this question please help
i dont know what its asking
The Valley High School printed 445 tickets for the school play in Spring. Three-fifth
of tickets were sold out by January. How many tickets remain to be sold?
Answer:
178
Step-by-step explanation:
3/5 = .60, 445 x 0.60 = 267, 450 - 267 = 178
Pls Show your work on the slope
Answer:
1) slope = 1/5
x - intercept = (10, 0)
y - intercept = (0,-2)
2) use the method I used for number one to do number 2.
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
1)
use any 2 points on a line. Chose one y-value which is y2 and the corresponding x-coordinate is x2. In the other coordinates, the y-value is y1 and the x-value is x1. Let's use points:
(-10, -4)
(-5, -3)
y2 = -3, which means:
y1 = -4
x1 = -10
x2 = -5
plug in the values:
-3-(-4)/-5-(-10)
=1/5
X - intercept is when y = 0. Plug in 0 for y when you see it.
x-0 = 10
x=10
x-intercept = (10,0)
Same for y intercept, except x = 0 this time.
0-5y=10
-5y=10
y=-2
y-intercept = (0,-2)
The points given in the table lie on a line. Find the slope of the line.
х
-2
3
8
13
y
1
4
7
10
We must use the given numbers from the table to graph the line.
According to this graph, the slope of the line is [tex]\frac{3}{5}[/tex].
According to this graph, the slope of the line will be; 3/5.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines is the same. Slopes of perpendicular lines are negatively reciprocals of each other.
Using any two pairs from the table of values given, (-2, 1) and (3, 4):
Where, y = 4, q = 1
x = 3, p = -2
Plug in the value into the slope formula;
[tex]m = \dfrac{y-q}{x-p}\\ m = \dfrac{4-1}{3 + 2}[/tex]
m = 3/5
According to this graph, the slope of the line will be; 3/5.
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1/10 + 6 2/5 + 5 3/4 This is A Math Problem.
Answer: 12 1/4 or 49/4
Step-by-step explanation:
HELP ASAP!! What is the measure of the radius of OM?
Answer:
10.5, i just looked it up so pardon if its wrong.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Just took the test
you have 576 grams of radioactive kind of mercury. if its half-life is 64 hours,how much will be left after 256 hours?
Answer:
36 gramsStep-by-step explanation:
Amount of radioactive material = 576 gramsHalf-life = 64 hoursTime = 256 hoursCycles of reduction:
256/64 = 4Material will be left:
576*(1/2)^4 = 576*1/16 = 36 gramsAnswer:
36 grams
Step-by-step explanation:
We have 576 grams of the mercury like substance.
Half of it's lifespan is 64 hours.
The time is 256 hours.
256 ÷ 64 = 4
Material will be left:
576 x [tex](1/2^{4} )[/tex]
576 x 1/16 = 36 grams
Pleaseee help
Paula and Sam were working on a project for their math class. They were studying
scientific notation and decided to research texting in the United States for their
presentation. One statistic they found was that there are an average of 13.9
million texts sent each hour. Paula suggested that they use that information
to determine the average number of texts sent per day. What is the average
number of texts sent in the United States per day?
Answer:
333,600,000 ( This could also be written as 333.6 million).
Step-by-step explanation:
Every hour, there are 13.9 million texts. As there are 24 hours in a day, you must do the equation 13,900,000x24. This is 333,600,000, which is your answer. I hope this helps
PLEASE HELP!!!!!!!
A sidewalk sale is going on in the local town. The sale consists of leggings for $12 and t-shirts for $10. Becky is hoping to purchase two pairs of leggings and some t-shirts. If she has no more than $36 to spend, how many t-shirts can she buy if she also buys two pairs of leggings? Set up and graph the inequality. Use the graph to answer the question. Show all work and explain how the graph illustrates the answer.
Answer: 2 pair of leggings is $24 she has $36 so she can buy 1 shirt
write any 5 safety measures that should be followed while working at industry .
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes △STU ~ △SVW?
A. (0,20)
B. (0,24)
C. (20.0)
D.(24,0)
Answer:
The coordinates of the point W is ((5/9)·√65, -20/9)
Step-by-step explanation:
The given parameters are;
The location of point S = (0, 0)
The location of point T = (0, 6)
The location of point U = (12, 0)
The location of point V = (0, 10)
We have;
The length of segment ST = √((6 - 0)² + (0 - 0)²) = 6
The length of segment SU = √((12 - 0)² + (0 - 0)²) = 12
The length of segment TU = √((12 - 0)² + (10 - 0)²) = √(144 + 100) = 2·√(61)
The length of segment TU = 2·√(61)
The length of segment SV = √((10 - 0)² + (0 - 0)²) = 10
Therefore, we have for similar triangles;
SV/SU = SW/ST = UW/TU
Therefore;
SW = ST × SV/SU = 6 × 10/12 = 5
VW = TU × SV/SU = 2·√(61) × 10/12 = (5/3)·√(61)
Where the coordinates of the point W = (a, b), we have;
Length of VW = √((10 - b)² + (0 - a)²) = (5/3)·√(61)
(25/9)·(61) = (10 - b)² + a²
Length of SW = √((0 - b)² + (0 - a)²) = 5
25 = b² + a²
∴ a² = 25 - b²
Substituting the value of a² into the length of segment LW equation, gives;
(25/9)·(61) = (10 - b)² + a² = (10 - b)² + 25 - b²
(25/9)·(61) = (10 - b)² + 25 - b² = 100 - 20·b + b² + 25 - b²
(25/9)·(61) = 125 - 20·b
20·b = 125 - (25/9)·(61)
b = -20/9
a² = 25 - b² = 25 - (-20/9)² = 1625/81
a = √(1625/81) = (5/9)·√65
The coordinates of the point W = ((5/9)·√65, -20/9).
Helppppppppppp plssssss
Answer:
Step-by-step explanation:
I'd be glad to try and help. What's the question?
Answer:
Step-by-step explanation:
what is your question?
What are the forces called when two or more forces act on an object but the object does NOT move ? plz help need this asap
Answer:
Balanced Force
Step-by-step explanation:
When 2 objects pushing against each other have the same force, their forces are cancelled out, giving them balanced force