For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
By definition, if two lines are parallel then their slopes are equal. A line parallel to[tex]y = -3x + 1[/tex], will have the same slope -3. Thus, the equation will be of the form:
[tex]y = -3x + b[/tex]
We substitute the given point and find "b":
[tex]2=-3(4)+b\\2=-12+b\\2+12=b\\b=14[/tex]
Finally, the equation is:
[tex]y = -3x + 14[/tex]
Answer:
[tex]y = -3x + 14[/tex]
Write a phrase $3 more than four times the cost of a pretzel as an algebraic expession
Answer:
[tex]4x+3[/tex]
Step-by-step explanation:
Let
x ----> the cost of a pretzel
we know that
The phrase" $3 more than four times the cost of a pretzel" is equal to multiply the cost of a pretzel x by 4 and adds the number 3
so
The algebraic expression is
[tex]4x+3[/tex]
Answer:
4p + $3
Step-by-step explanation:
more than= + (plus sign)
four times the cost of a pretzel= 4p
Remember 4 times cost of pretzel
times= multiplication sign
p=cost of pretzel
So: 4p + $3
Please show work for both problems
Answer:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
URGENT!!
These triangles are similar looking at the angles.
True or false
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Write an equivalent expression for 20(x-5)
Answer:
40(x-10)
Step-by-step explanation:
34. If each interior angle has a measure of 175.2°, how many sides does the polygon have?
Answer:
75 sides when the interior angle is 175.2
Step-by-step explanation:
these problems are all done the same way. Subtract the interior angle from 180 and divide the result into 360
360/(180 - 175.2)
360 / 4.8
75 sides
April worked 1 1/8 times longer on her math project than Carl, he worked 5 3/4, how many more hours did April work? Please show how to get answer. Thank you
Answer:
[tex]\frac{23}{32}\ hours[/tex]
Step-by-step explanation:
step 1
Find out the number of hours worked by April on her math project
Multiply 1 1/8 by 5 3/4
so
[tex]1\frac{1}{8} (5\frac{3}{4})[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{1*8+1}{8}=\frac{9}{8}[/tex]
[tex]5\frac{3}{4}=5+\frac{3}{4}=\frac{5*4+3}{4}=\frac{23}{4}[/tex]
substitute
[tex]\frac{9}{8} (\frac{23}{4})=\frac{207}{32}\ hours[/tex]
Convert to mixed number
[tex]\frac{207}{32}=\frac{192}{32} +\frac{15}{32} =6\frac{15}{32}\ hours[/tex]
step 2
How many more hours did April work?
Subtract the hours worked by Carl from the hours worked by April
[tex]\frac{207}{32}-\frac{23}{4}=\frac{207-8*23}{32}=\frac{23}{32}\ h[/tex]
100 POINTS!!!!
Which number should each side of the equation 2/3x=10 be multiplied by to produce the equivalent equation of x = 1/5?
−2/3
1/3
3/2
3
Answer:
2/3x = 10.....multiply both sides by 3/2 giving u :
x = 10 * 3/2
x = 30/2 which equals 15
Step-by-step explanation:
So your answer is 3/2 or 32
Sgt. Merritt has bought a house now that his tour of duty is up. He wants to stain the wood floors of the living room, which measure 18x14. The stain costs $120 per square yard. How much will it cost to stain floor of the entire room?
It costs $ 30240 to stain floor of the entire room
Solution:
Given that,
Sgt. Merritt has bought a house now that his tour of duty is up
He wants to stain the wood floors of the living room, which measure 18 x 14
Therefore,
length = 18 yards
Width = 14 yards
Find the area:[tex]Area = length \times width\\\\Area = 18 \times 14\\\\Area = 252[/tex]
Thus area of wood floors is 252 square yards
How much will it cost to stain floor of the entire room?The stain costs $120 per square yard
[tex]Cost = 252 \times 120\\\\Cost = 30240[/tex]
Thus it costs $ 30240 to stain floor of the entire room
To stain Sgt. Merritt's living room floors, which measure 18x14 feet, first calculate the area in square feet, convert to square yards, and then multiply by the cost per square yard. The total cost will be $3,360.
To determine the cost to stain the wood floors in the living room, first we need to calculate the total area in square yards since the stain is sold by square yard. The room measures 18 feet by 14 feet.
Step 1: Calculate Square Footage
Multiply the length and width in feet to get the square footage:
18 feet × 14 feet = 252 square feet
Step 2: Convert Square Feet to Square Yards
There are 9 square feet in 1 square yard. Therefore, we divide the total square footage by 9 to convert to square yards:
252 square feet / 9 square feet per square yard = 28 square yards
Step 3: Calculate the Cost
The cost to stain one square yard is $120. So, we multiply the total square yards by $120 to get the total cost:
28 square yards × $120 per square yard = $3,360
Therefore, the cost to stain the entire living room floor will be $3,360.
The area of a rectangular field is 7050m^2. If the width of the field is 75m, what is its length?
Answer:
Step-by-step explanation: Area =length × width
7050m^2 = X× 75m
7050 =75X
Divide both sides by 75
7050÷75 =75÷75
74m= X
The perimeter of a rectangular garden is 110ft. The length is 5 ft greater than the width. Find the length and width.
P = perimeter
L = length
W = width
Formula for the perimeter of a rectangle = L + L + W + W or P = 2L + 2W
You know:
P = 110ft
L = W + 5 [length is 5ft greater than the width]
So plug this into the formula:
P = 2L + 2W Substitute/plug in (W + 5) for L
110 = 2(W + 5) + 2W Distribute/multiply 2 into (W + 5)
110 = (2)W + (2)5 + 2W
110 = 2W + 10 + 2W Combine like terms (2W + 2W)
110 = 4W + 10 Subtract 10 on both sides
110 - 10 = 4W + 10 - 10
100 = 4W Divide 4 on both sides to get "W" by itself
[tex]\frac{100}{4}=\frac{4W}{4}[/tex]
25 = W Now that you know the width, plug it into the equation for length
L = W + 5 Plug in 25 for W
L = 25 + 5
L = 30
L = 30 ft
W = 25 ft
PROOF
P = 2L + 2W
110 = 2(30) + 2(25)
110 = 60 + 50
110 = 110
Write an algebraic expression half the quantity of X plus Y?
Final answer:
The algebraic expression for half the quantity of X plus Y is (1/2) × (X + Y) or (X + Y) / 2.
Explanation:
To write an algebraic expression for half the quantity of X plus Y, you start by adding X and Y together. This can be represented as (X + Y). To find half of this quantity, you multiply the sum by 1/2 or divide by 2. Therefore, the algebraic expression that represents half the quantity of X plus Y is (1/2) × (X + Y) or (X + Y) / 2.
Friday, a store sold 10 blue shirts and 20 white shirts. what percentage of the shirts sold were blue? give answer to the ones place
Answer:
10+20=30
10 is what percent of 30?
10 is 1/3 of 30
Step-by-step explanation:
10 is 33.33% of 30
so 33% of the shirts sold were blue
33.33% of the shirts sold were blue.
Given that, Friday, a store sold 10 blue shirts and 20 white shirts.
We need to find out what percentage of the shirts sold were blue.
What is the percentage?The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, 10+20=30
We need to calculate 10 is what per cent of 30.
Let the percentage be x.
So, x% of 30=10
⇒x/100 × 30=10
⇒3x/10=10
⇒3x=100
⇒x=33.33%
Therefore, 33.33% of the shirts sold were blue.
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Eric worked for 13 hours each day For 6 days hen the next day he worked 5 hours How many hours did Eric work in complete Answer ASAP
Answer:
83 Hours
Step-by-step explanation:
First do 13x6=78
then add 5 hours to 78 hours and you get 83
Can you please explain how to do this
ANSWER ASAP!!!!!!!!!
x = 0,1
y = 0,-5
hope this helped ___~ ~___
0
\
A bag contains 6 gray tiles and 3 blue tiles. Jenny reached into the bag and picked a tile
randomly, and then without replacing it, picked a second tile.
What is the probability that she
picked a gray tile with her second pick given that she picked a blue tile with her first pick?
Answer:
The probability that Jenny picked a gray tile with her second pick given that she picked a blue tile with her first pick = 0.25
Step-by-step explanation:
i.) there are 6 gray tiles and 3 blue tiles
ii) the probability that Jenny picked a blue tile first is given by
[tex]\frac{number\hspace{0.1cm} of \hspace{0.1cm} blue\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm} of \hspace{0.1cm}tiles\hspace{0.1cm} } = \frac{3}{9} = \frac{1}{3}[/tex]
iii) the probability that Jenny picked a gray tile with her second pick without replacing the first tile[tex]\frac{number\hspace{0.1cm} of \hspace{0.1cm} blue\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm} of \hspace{0.1cm}tiles\hspace{0.1cm} } \times \frac{number\hspace{0.1cm} of \hspace{0.1cm} gray\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm } of \hspace{0.1cm}tiles\hspace{0.1cm} - 1 } = \frac{3}{9} \times \frac{6}{8} = \frac{1}{3} \times \frac{3}{4} = \frac{1}{4} = 0.25[/tex]
The probability that Jenny picked a gray tile with her second pick given that she picked a blue tile with her first pick = 0.25
A survey of all beings on planet Pib found 20% preferred umpt juice to all other juices. if 6 brings preferred umpt juice, how many beings were surveyed altogether?
Answer:
30 people.
Step-by-step explanation:
In a survey it is found that 20% of the people preferred umpt juice to all other juices.
Now, if 6 of the surveyed people are being preferred umpt juice, then we have to find the total number of people that were surveyed altogether.
So, 20% of the people being surveyed is equal to 6 people.
Therefore, 100% of the people is equal to [tex]6 \times \frac{100}{20} = 30[/tex] people. (Answer)
1|4)
4x + 3y = 4 4 (3.2) +
2X- $y = -28
20:0)
6x=
The solution to the system of equations is x = -2 and y = 4
How to solve the equation
To solve this system of equations using Cramer's rule, we need to first express the equations in standard form: Ax + By = C
According to the problem, we have the equations
4x + 3y - 4 = 0
6x = 8 - 5y.
This is the same as
4x + 3y = 4
6x + 5y = 8
The determinants required for Cramer's rule:
Coefficient matrix (D)
[tex]\[D = \begin{vmatrix} 4 & 3 \\ 6 & 5 \end{vmatrix} = (4 \times 5) - (3 \times 6) = 20 - 18 = 2\][/tex]
For Dₓ
[tex]\[D_x = \begin{vmatrix} 4 & 3 \\ 8 & 5 \end{vmatrix} = (4 \times 5) - (3 \times 8) = 20 - 24 = -4\][/tex]
For D y
[tex]\[D_y = \begin{vmatrix} 4 & 4 \\ 6 & 8 \end{vmatrix} = (4 \times 8) - (4 \times 6) = 32 - 24 = 8\][/tex]
Using Cramer's rule:
[tex]\[x = \frac{D_x}{D} = \frac{-4}{2} = -2\][/tex]
[tex]\[y = \frac{D_y}{D} = \frac{8}{2} = 4\][/tex]
complete question
Solve the following simultaneous equations using Cramer's rule.
4x + 3y - 4 = 0
6x = 8 - 5y
Is -8-2(3+2n) + 7n equivalent to -30-13n? Explain why or why not.
How many times greater is the 5 in
458,039 than the 5 in 271,145?
A. 10
B. 100
C. 1,000
D. 10,000
Answer:
D.
Step-by-step explanation:
The 5 in 458,039 is 100 times greater than the 5 in 271,145 because it represents 50,000 while the 5 in 271,145 represents 500. This can be determined by understanding place values, as each digit's value depends on its position in the number.
Explanation:The 5 in 458,039 is in the ten thousands place, meaning it represents 50,000. The 5 in 271,145 is in the hundreds place, meaning it represents 500. To understand how many times greater one is than the other, we would divide 50,000 by 500. The result is 100, therefore, the 5 in 458,039 is 100 times greater than the 5 in 271,145. So, the answer is B. 100.
This problem involves place values in numbers, where each digit in a number has a different value depending on its position.
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15 POINTS PLEASE HELP PPLESSE
Step-by-step explanation:
Hope it helps you in your learning process.
Which of the following is equal to one million three hundred thousand?
A 1.3×106
B 1.3×109
C 1.03×106
D 1.03×109
1 million is 1*10^6
300 thousand is 3*10^5
Since 300,000 is one power of ten below 1 million, it's either A or B.
The correct choice is A, however, because of 1 million being 10^6. We choose the biggest value we get.
Hope this helped!
For each set of three measures determine if they can be angle measures of a triangle
The options that can be angle measures of a triangle is
2. Set: 25°, 130°, 25°
How to find measure of triangle
To determine whether a set of three angle measures can be the angle measures of a triangle, you can use the sum of internal angles of a triangle which is 180 degrees
Let's analyze each set of three angle measures:
1. Set: 41°, 112°, 52°
41 + 112 + 52 = 205
This cannot be a triangle
2. Set: 25°, 130°, 25°
25 + 130 + 25 = 180
This can be a triangle
3. Set: 30°, 40°, 90°
30 + 40 + 90 = 160
This cannot be a triangle
4. Set: 132°, 141°, 31°
132 + 141 + 31 = 304
This cannot be a triangle
what is the wavelength of an electromagnetic wave with a frequency of 135,000 Hz?
The wavelength of an electromagnetic wave with a frequency of 135,000 Hz is approximately 2,222 meters. This can be calculated using the equation λ = c / f, with c being the speed of light and f the frequency of the wave.
Explanation:The wavelength of an electromagnetic wave can be calculated from the frequency when we understand their relationship through the wave's speed. In the case of an electromagnetic wave, this speed is the speed of light (denoted by c), which is approximately 3.00 x 108 m/s. This relationship is expressed by the equation c = fλ, where f is the frequency and λ is the wavelength.
To calculate the wavelength (λ) from the frequency (f), we rearrange the equation to λ = c / f. Substituting 3.00 x 108 m/s for c and 135,000 Hz for f, gives λ = 3.00 x 108 m/s / 135,000 Hz. After performing the calculation, we find the wavelength to be approximately 2,222 meters.
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The wavelength of an electromagnetic wave with a frequency of 135,000 Hz is approximately 2,222 meters, based on the relationship provided by the equation c = fλ.
Explanation:The wavelength of an electromagnetic wave is directly related to its frequency by the equation c = fλ, where 'c' is the speed of light in vacuum, 'f' is the frequency and 'λ' is the wavelength. In this equation, the speed of light 'c' is typically 3.00 × 108 m/s. Therefore, if we want to figure out the wavelength of an electromagnetic wave with a frequency of 135,000 Hz, we can rearrange the equation to solve for the wavelength: λ = c/f. Substituting the given values, we have λ = (3.00 × 108 m/s)/(135,000 s-1), which simplifies to λ = 2,222 m.
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Plz, I'm desperate for 5 answers. help me ASAP on the attachments I'll give everything I can, Brainly award, high ratings, thanks, everything, I need help! Please I need help!
Answer:
[tex]1.\ 8n+4\\\\2.\ 5x+13\\\\3.\ x+3\\\\4.\ x-6\\\\5.\ 4x+1[/tex]
Step-by-step explanation:
1.
[tex]Sum=2n+6+6n-2\\\\Sum=2n+6n+6-2\ \ \ \ \ \ \ \ (using\ commutative\ property\ of\ addition\ a+b=b+a)\\\\Sum=8n+4[/tex]
2.
[tex]Sum=3x+9+2x+4\\\\Sum=3x+2x+9+4\ \ \ \ \ \ \ \ (using\ commutative\ property\ of\ addition\ a+b=b+a)\\\\Sum=5x+13[/tex]
3.
[tex]Difference=(3x+5)-(2x+2)\\\\Difference=3x+5-2x-2\ \ \ \ \ \ \ [using\ distributive\ property\ -(a+b)=-a-b]\\\\Difference=3x-2x+5-2\ \ \ [commutative\ property]\\\\Difference=x+3[/tex]
4.
[tex]Difference=(4x+3)-(3x+9)\\\\Difference=4x+3-3x-9\ \ \ \ \ \ \ [using\ distributive\ property\ -(a+b)=-a-b]\\\\Difference=4x-3x+3-9\ \ \ [commutative\ property]\\\\Difference=x-6[/tex]
5.
[tex]Difference=(6x+2)-(2x+1)\\\\Difference=6x+2-2x-1\ \ \ \ \ \ \ [using\ distributive\ property\ -(a+b)=-a-b]\\\\Difference=6x-2x+2-1\ \ \ [commutative\ property]\\\\Difference=4x+1[/tex]
A runner increased her distance from 9 miles to 12.5 miles a week. Find the percent increase in mileage.
A. 28%
B. 39%
C. 58%
D. 42%
Answer:
39 percent is increase in mileage.
Thus, the correct option is B. 39%.
Step-by-step explanation:
Given:
A runner increased her distance from 9 miles to 12.5 miles a week.
Now, to find percent increase in mileage.
Previous mileage = 9 miles.
Present mileage = 12.5 miles.
Mileage increase = 12.5 - 9 = 3.5 miles.
Now, to get the percent increase in mileage:
[tex]\frac{Mileage\ increased}{previous\ mileage} \times 100[/tex]
[tex]=\frac{3.5}{9} \times 100[/tex]
[tex]=\frac{350}{9}[/tex]
[tex]=38.88\%.[/tex]
Approximately the percent increase = 39%.
Therefore, 39% is increase in mileage.
Thus, the correct option is B. 39%.
7 + (5 – 9)2 + 3(16 ÷ 8).
Answer:
5
Step-by-step explanation:
7 + (5 - 9)2 +3(16/8)
7 + (-4)2 +3(2)
7+(-8) +6
7 -8 +6
7 -2
5
Read this scene from The Miracle Worker Act 2.
(ANNIE insists, and HELEN gets rid of ANNIE’S hand by jabbing it with the needle. ANNIE gasps and moves to grip HELEN’S wrist; but KATE intervenes with a proffered sweet, and HELEN drops the card, crams the sweet into her mouth, and scrambles up to search her mother’s hands for more.)
How do these stage directions add meaning to the play?
The stage directions explain the characters’ facial expressions.
The stage directions illustrate the appearance of the room.
The stage directions describe how characters react to Helen.
The stage directions reveal Annie’s manner of speaking.
Answer:
The stage directions describe how characters react to Helen.
Step-by-step explanation:
In the given scene, the different characteristics of Helen as well as how other characters react when they see Helen is depicted in the scene. Other characters in the scene react differently to Helen when they come in contact with her. This is the main objective of the stage direction. It shows the interaction between Helen and others.
The stage directions represent the additions of the meaning to the play in terms of the stage directions describe how characters react to Helen.
The following information should be considered:
In the given situation, there is various characters of Helen and how the other character react at the time of seeing when Helen represent in the scene. The other characters scene react in a different way at the time of contacting. It represents the main aim of the stage directon. Also, it shows the interaction that lies between Helen and others.Learn more: brainly.com/question/17429689
3(4x-5)+4(2x+6) simplify
Answer:
20+9
Step-by-step explanation:
Answer: 20x+9 (I THINK that’s the answer but I’m not completely sure so...)
Step-by-step explanation: (12x-15) + (8x+24)
12x+8x= 20x
-15+24 (or 24-15)= 9
20x+9
a jar of peanut butter contains 452 with a standard deviation of 10.4 g assuming a normal distribution find the probability that a jar contains less than 449 grams
Answer:
0.3859
Step-by-step explanation:
Assuming on the average, a jar of peanut butter contains 452 grams, with a standard deviation of 10.4 grams.
Then we have
[tex] \mu = 452 \: and \: \sigma = 10.4[/tex]
We want to find the probability that a jar contains less than 449 grams.
We first determine the z-score of x=449 grams using:
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
We plug in these values to get:
[tex]z = \frac{449 - 452}{10.4} [/tex]
[tex]z = \frac{ - 3}{10.4} = - 0.29[/tex]
Now we read from the standard normal distribution table the area that corresponds to a z-score of -0.29
P(X<449)=0.3859
To find the probability that a jar contains less than 449 grams, calculate the z-score and use a standard normal distribution table or calculator.
Explanation:To find the probability that a jar contains less than 449 grams, we can use the standard normal distribution and the z-score formula. The z-score is calculated as (X - mean) / standard deviation. In this case, X = 449, mean = 452, and standard deviation = 10.4. By substituting these values into the formula, we can find the z-score, and then use a standard normal distribution table or calculator to find the probability.
1. Calculate the z-score: (449 - 452) / 10.4 = -0.2885
2. Use a standard normal distribution table or calculator to find the probability associated with a z-score of -0.2885. The probability is approximately 0.3830, or 38.30%.
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What is 4,095 divisible by
Answer:
5
Step-by-step explanation:
the answer would be 819
Answer: 5
Step-by-step explanation: