Answer:
7*-5+2(-5+5)=-35
9*-5+10=-35
7*2+2(2+5)=28
9*2+10=28
Step-by-step explanation:
when plugging the x values in, you get the same answer for both equation, make the equation equal.
A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
Answer:
plane: 530 mi/hwind: 40 mi/hStep-by-step explanation:
Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...
speed = distance/time
p +w = (2565 mi)/(4.5 h) = 570 mi/h
p -w = (2205 mi)/(4.5 h) = 490 mi/h
Adding these speeds, we get ...
(p +w) +(p -w) = (570) +(490) mi/h
2p = 1060 mi/h
p = 530 mi/h
Then the speed of the wind is ...
w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h
The plane's speed is 530 mi/h; the wind speed is 40 mi/h.
Find the slope of each line points (3,4) and (5,4)
Step-by-step explanation:
Slope formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
Substitute the points into the formula format:
[tex] \frac{4}{5} - \frac{4}{3} = m[/tex]
Solve:
[tex] \frac{0}{2} = m[/tex]
The slope is 0.
The line doesn't increase or decrease.
Shaunda said that buying 4 towels for $17 was a better buy than buying 2 towels for $9. She found her answer by doubling the terms in the ratio 9/2 and comparing the first terms in the ratio. Is she correct? Use unit prices to support your answer
Answer:
The cost for a towel at 4 for $17 is:
17/4 = 4.25 $/towel
The cost for a towel at 2 for $9 is:
9/2 = 4.5 $/towel
So Shaunda is correct, as the cost per towel for 4 at $17 is lower.
The equation of line p is y=−4x+1. Line q is perpendicular to line p and passes through (−4, 1). What is the equation of line q?
Write the equation in slope-intercept form with no spaces. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answer:
[tex]\displaystyle y = \frac{1}{4}\, x + 2[/tex].
Step-by-step explanation:
The question is asking for the slope-intercept equation of a line. The slope-intercept form equation of a line is in the form [tex]y = m\, x + b[/tex], where:
[tex]m[/tex] (a constant) is the slope of the line, and[tex]b[/tex] (also a constant) is the [tex]y[/tex]-intercept of that line.For example, the equation of the first line, [tex]y = -4\, x + 1[/tex], is given in slope-intercept form. The slope of that line is [tex]m_{1} = (-4)[/tex] while the [tex]y[/tex]-intercept of that line is [tex]b_{1} = 1[/tex].
Both [tex]m[/tex] and [tex]b[/tex] need to be found for the second line.
Start by finding the slope [tex]m_{2}[/tex] of the second line.
Make use of the fact that if two lines in a plane are perpendicular to one another, the product of their slopes would be [tex](-1)[/tex]. In other words, if a line with slope [tex]m_{1}[/tex] is perpendicular to a line with slope [tex]m_{2}[/tex], then [tex]m_{1}\, m_{2} = (-1)[/tex]. Rearrange to obtain [tex]m_{2} = (-1) / m_{1}[/tex].
In this question, since the slope of the first line is [tex]m_{1} = (-4)[/tex], the slope of the second line (perpendicular to the first line) would be [tex]m_{2} = (-1) / (-4) = (1/4)[/tex].
Thus, the equation of the second line would be of the form [tex]\displaystyle y = (1/4)\, x + b_{2}[/tex] for some constant [tex]b_{2}[/tex] that needs to be found.
Make use of the fact that the second line goes through the point [tex](-4,\, 1)[/tex] to find the value of [tex]b_{2}[/tex]. Since the point [tex](-4,\, 1)\![/tex] is on the second line, the equation of the second line should hold after substituting in [tex]x = (-4)[/tex] and [tex]y = 1[/tex]. That is:
[tex]1 = (1/4)\times (-4) + b_{2}[/tex].
Solve this equation for [tex]b_{2}[/tex]:
[tex]b_{2} = 2[/tex].
Therefore, the equation of the second line would be [tex]y = (1/4)\, x + 2[/tex].
A line passes through the points (3,5) and (4,9), What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
Answer:
y = 4x-7
Step-by-step explanation:
slope = difference of y-values / difference of x-values
= (9-5) / (4-3)
= 4/1
select a point to use in the slope-intercept form of a line: y = mx + b where 'm' is the slope and 'b' is the y-intercept
(3,5)
5 = 4(3) + b
5 = 12 + b
-7 = b
slope is 4 and y-intercept is -7
y = 4x-7
Determine the cost of flooring a home office with carpet tiles, ceramic tiles, and laminate tiles. (Just flooring-not labor,tools,equipment,etc). Show all calculations. Include units with final and answers in space provided. Round to the nearest tenth if needed.
a) Carpet price $46.44 per box of 16 carpet tiles. Each tile 18"x 18"
Sold by the box only
b) Ceramic tile $2.98 for each individual tile. Each tile 12"x"12
Sold by the individual tile
c) Laminate cost $34.88 for a box that covers 17.5 square feet.
Sold by the box only
Question- 1.) How much flooring will be needed for the new office?
2.) Calculate the cost of flooring the new office with carpet tiles.
3.)Calculate the cost of flooring the new office with ceramic tiles
4.) Calculate the cost of flooring the new office with laminate flooring
Show all Work
(Please Help Thank you so much)
I don't know how to do this
Answer: 2x+3 and -1
Step-by-step explanation:
a)
[tex]A=\pi r^2 = 4\pi x^2 + 12\pi x + 9\pi\\r^2 = 4x^2 + 12x + 9\\r^2 = (2x+3)^2\\r = 2x+3[/tex]
b) Radius has to be greater than 0, so 2x + 3 > 0
2x > -3
x > -1.5
So least possible integer value is -1
Find the value of xif 3(x + 5 ) =-6
Answer:
-7
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation is ,
[tex]\longrightarrow 3( x +5)=-6 [/tex]
Simplify the parenthesis ,
[tex]\longrightarrow 3x + 3(5)=-6[/tex]
Simplify,
[tex]\longrightarrow 3x +15 = -6[/tex]
Subtracting 15 to both sides ,
[tex]\longrightarrow 3x =-6-15[/tex]
Simplify,
[tex]\longrightarrow 3x = -21 [/tex]
Divide both sides by 3,
[tex]\longrightarrow x = -7 [/tex]
This is the required answer!
A coin is tossed 3 times and the outcome of heads or tails recorded for each toss. This is repeated until there have been 3 coin tosses 25 times. This list shows the results.
HTT, HHH, HTH, THT, THH,THT, THH, THT, HHT, TTH,HHH, TTT, HHT, THH, HTT,HHH, THT, HTT, HHT, HTH,THH, HTT, THH, TTH, HTT
According to this data, what is the experimental probability of getting exactly 2 heads out of 3 coin tosses?
Select from the drop-down menu to correctly complete the statement.
The experimental probability of getting exactly 2 heads is
Choose...
34
40
46
52
Answer:
B. 40%Step-by-step explanation:
We can count two heads out of 3 coin tosses, this is 10 out of 25:
P(HH) = 10/25 = 40/100 = 40%The experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total outcome set
T = {HTT, HHH, HTH, THT, THH, THT, THH, THT, HHT, TTH, HHH, TTT, HHT, THH, HTT, HHH, THT, HTT, HHT, HTH, THH, HTT, THH, TTH, HTT}
n(T) = 25
Total favourable outcome n(E) = 10
The probability = 10/25 = 0.4
= 0.4×100 = 40%
Thus, the experimental probability of getting exactly 2 heads out of 3 coin tosses is 40% option second is correct.
Learn more about the probability here:
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Hey guys back again ,
If you have any doubt in maths you can ask
Maya wants to show 28 as tens and ones . What are all the ways ?
Answer:
2 tens and 8 ones
Step-by-step explanation:
2 tens =20 , 8 ones = 8 . 20+8=28
Hope this helped
I need help with math please
Okay, so the function is to do x times 2, then subtract 4.
6 x 2 = 12, 12 - 4 = 8. The first one is 8.
2 x 2 = 4. 4 - 4 = 0.
-4 x 2 = -8. -8 - 4 = -12. The last is -12.
With this information we can tell that it is C, 8, 0, -12.
when the sample size n is large, the standard deviation of x-bar is approximately the same as the standard deviation from which the sample is taken. True or False?
Answer:
False
Step-by-step explanation:
By the Central Limit Theorem, as the sample size [tex]n[/tex] gets larger, the smaller the standard deviation [tex]\sigma[/tex] of the sampling distribution gets.
can I have help pls
Nathan is making blueberry and pineapple kebabs. Each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.
a. Nathan wants to check if he has enough of each type of fruit to make 12 kebabs. How can the expression 12b + 12p help him do that?
b. Nathan's friend Linda offers to help him make some of the kebabs. Nathan wants to set aside enough fruit for her to make 3 of the kebabs. How can you rewrite 12b + 12p so that it shows the fruit for Nathan's kebabs and the fruit for Linda's kebabs separately?
Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Given each kebab needs the same number of blueberries, b, and the same number of pineapple pieces, p.
a) For 12 kebabs:
Number of fruit = 12(b + p) = 12b + 12p
b) For Linda 3 kebab:
Number of fruit = 3(b + p) = 3b + 3p
Nathan needs 12b + 12p fruits while Linda needs 3b + 3p fruits
Find out more on Equation at: https://brainly.com/question/18831322
45 5/6% as a fraction in its simplest form
Please hurry need in 5 minutes!!!!!?!?!?! Quickly and remember it's percent to fraction!
Answer:
[tex]\frac{11}{24}[/tex]
Step-by-step explanation:
To change into fraction divide it by 100
[tex]\frac{275}{6}/100[/tex]
[tex]\frac{275}{6}*\frac{1}{100}[/tex]
[tex]\frac{275}{600}[/tex]
[tex]\frac{275/25}{600/25}[/tex]
[tex]\frac{11}{24}[/tex]
[tex]45 \frac{5}{6}[/tex] ÷ [tex]100[/tex] [tex]=[/tex] [tex]\frac{11}{24}[/tex]
Hence, Answer = 11/24
[RevyBreeze]
Answer:
Step-by-step explanation:
First, you should turn this into an improper fraction. Forget the fact that it is a percent for the time being.
275 / 6
Now put this over 100 to get the fractional part
275 / 6 // 100/1
Invert and multiply the denominator
275 / 6 * 1 / 100 = 275 / 600 You need to reduce this. Start by dividing numerator and denominator by 25
275 / 25 // 600 / 25
11 / 24
One factor in the expression 5(n + 4) is 5. What is the second factor?
Answer:
n+4
Step-by-step explanation:
A factor is what makes up a multiplication sentence. It is a number that is multiplied with another number that gives us the product, the answer to a multiplication sentence.
Stringed instruments like guitars and pianos create a note when a string vibrates back and forth. The distance that the middle of the string moves from the center is called the amplitude (a), and for a guitar, it starts at 0.75 mm when a note is first struck. Amplitude decays at a rate that depends on the individual instrument and the note, but a decay rate of about 25% per second is typical. Calculate the time it takes for an amplitude of 0.75 mm to reach 0.1 mm.
The amplitude will reach 0.1 mm in about 7 seconds.
The amplitude will reach 0.1 mm in about 7 seconds.
The amplitude will reach 0.1 mm in about 15 seconds.
The amplitude will reach 0.1 mm in about 15 seconds.
The amplitude will reach 0.1 mm in about 1.5 seconds.
The amplitude will reach 0.1 mm in about 1.5 seconds.
The amplitude will reach 0.1 mm in about 3 seconds.
The the product of the initial amplitude and the exponential decay rate
of raised to the power of the time taken give the amplitude of 0.1 mm.
Correct option:
The amplitude will reach 0.1 mm in about 7 secondsWhat is the exponential decay rate and how is it used?The given parameters are;
The initial amplitude = 0.75 mm
The decay rate, i = 25%
Required:
The time it takes the guitar to decay to 0.1 mm.
Solution:
The series of the sizes of the amplitude that has constant decay uses an
exponential decay formula.
When the amplitude is 0.1 mm, we have;
y = a·rⁿ
Where;
r = 1 - i
a = 0.75
n = The time taken
Which gives;
r = 1 - 0.25 = 0.75
y = 0.1 = 0.75 × 0.75ⁿ
[tex]\dfrac{0.1}{0.75} = \mathbf{0.75^{n}}[/tex]
[tex]n = \dfrac{ln\left( \dfrac{0.1}{0.75} \right)}{ln(0.75)} \approx \mathbf{7.0}[/tex]n = 7.0
The time it takes the amplitude to reach 0.1 mm is 7 seconds.Learn more about exponential growth and decay formula here:
https://brainly.com/question/2193820
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 21
Step-by-step explanation:
Using ratios:
75 : 25 = x : 7
75/25 = x/7
3 = x/7
21 = x
Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:
[tex]72^2+x^2=75^2[/tex]
[tex]\implies x^2=75^2-72^2[/tex]
[tex]\implies x=\sqrt{75^2-72^2}[/tex]
[tex]\implies x=21[/tex]
A hotel room cost $79 per night. Meg's family is getting 2 rooms for 5 nights for their trip.
What is the total hotel bill, without tax and fees?
A. 790
B. 880
C. 1056
D. 1120
What is 3/4 - 2/6
Subtracting Proper Fractions
Jake eat 4 grapes he had less than 25 grapes to start with after eating 4 grapes how many grapes does James have left
one step inequality word problems
Answer:
x < 21
Step-by-step explanation:
Let x = the number of grapes James has left
x + 4 < 25
x < 21
Are any two line segments always similar or not always similar
Answer:
➢ Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
[tex]Into \: your Arms[/tex]
#CarryOnLearning
Answer:
No, they are not
Step-by-step explanation:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane.
If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
How long does a missed payment on a mortgage stay on a consumer’s credit report?
A 2 years C 7 years
B 10 years D 5 years
Answer: C) 7 years
There's not much explanation other than I did an online search for the answer. Many sources I'm finding are saying "up to 7 years", which means that is the longest it will stay on the credit report.
Astronomers measure large distances in light-years. One light-year is the distance that light
can travel in one year, or approximately 5.88x10^12 miles. Suppose a star is 2.23x10^2 light-
years from Earth. In scientific notation, approximately how many miles is it?
A. 2.23x10^14
B. 1.31x10^14
C. 1.31X10^15
D. 5.88x10^12
Answer:
it's C
Step-by-step explanation:
Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88\times 10^{12}5.88×1012 miles. Suppose a star is 2.23\times 10^22.23×102 light years from Earth.
To find : In scientific notation, how many miles away a star is from earth?
Solution :
One light-year is the distance that light can travel in one year is 5.88\times 10^{12}5.88×1012 miles.
In 2.23\times 10^22.23×102 lights year the distance is
=5.88\times 10^{12}\times 2.23\times 10^2=5.88×1012×2.23×102
=1.31124\times10^{15}=1.31124×1015
Therefore, Option C is correct.
word phrase that can be represented by m + 25.
Answer:
A number added by 25
In a problem it is: Ben has m dollars, his Mom gave him 25 dollars how much does Ben have now?
Hope this helps!
AABC and ADEF are similar. Find the missing side length.
Answer:
/\ABC------/\DEF
the ratio of the the corresponding sites must be same
AB/AC=DE/DF
AB/30=4/5
AB=(4/5)30
AB=24
HOPE IT HELPED.
PLEASE MARK BRAINLIEST
if you help me out and give the right answer i will give brainlyest
Answer:
mean= m7.8571428571429 Mode 1, 2
Step-by-step explanation:
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores. The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
What is the area of this triangle?
1375 ft
120 ft
55 ft
• 1500 12
25 ft
3300
4500
75 ft
1 2 3
5
Answer:
1500 ft²
Step-by-step explanation:
The area of the triangle is given by the formula ...
A = 1/2bh
For a base of 120 ft and a height of 25 ft, the area is ...
A = 1/2(120 ft)(25 ft) = 1500 ft²
_____
Additional comment
As you can see from the attachment, the area from side lengths is different. The actual height is not 25 ft, but is closer to 24.65 ft.
Answer:
1500 ft
Step-by-step explanation:
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 20 options: A) Distributive property, subtraction property of equality, and multiplication property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and division property of equality D) Addition property of equality and multiplication property of equality
Answer:
C) Addition property of equality and division property of equality
Step-by-step explanation:
To find the answer, let's first solve the equation for x...
3x-6=12
Add 6 to both sides (Addition property of equality)
3x=6
Divide both sides by 3 (Division property of equality)
x=2
We used both the addition property of equality and the division property of equality therefore the answer is C