PLEASE HELP!!!!Which equation shows y=3/4x−5/2 in standard form?
A) 3x−4y=10
B)4x−3y=10
C)4x−3y=−10
D)3x−4y=−10
2.What is the slope-intercept form of the linear equation x + 4y = 12? Enter your answer in the box.
3.Graph the equation on the coordinate plane. y=1/2x
Answer: 1. A) 3x−4y=10
2. [tex]y=-\frac{x}{4}+3[/tex]
3. In the attachment.
Explanation:
1. Given equation=[tex]y=\frac{3}{4}x-\frac{5}{2}[/tex]
To reduce it into standard form , multiply both sides by 4,we get
[tex]4y=4(\frac{3}{4}x-\frac{5}{2})\\\Rightarrow4y=3x-10......[distributive\ property]\\\Rightarrow3x-4y=10[/tex] which is option A.
2. Given linear equation : x+4y=12
The standard slope intercept form is given by y=mx+c where m is the slope and c is the constant.
To reduce given linear equation subtract x from both sides, we get
4y=12-x
Divide 4 on both sides.
[tex]\Rightarrow\ y=\frac{12-x}{4}=3-\frac{x}{4}\\\Rightarrow\ y=-\frac{x}{4}+3[/tex] is the slope-intercept form of the linear equation x + 4y = 12.
3. To graph equation [tex]y=\frac{1}{2}x[/tex] on the coordinate plane.
We need to find points to plot the line
Put x=0,we get y=0
Put x=2,we get y=1
Thus we have points (0,0) and (2,1) to plot the line on the graph.
Answer: 1. A) 3x−4y=10
Step-by-step explanation:
Use the graph below to answer the following question:
What is the average rate of change from x = –4 to x = 1?
A. -3
B. -1
C. 0
D. 1
Charlie drove 864 miles in 12 hours. at the same rate, how long would it take him to drive 504 miles?
A coin is tossed 10 times:
How many times do you expect to get heads?
How many times do you expect to get tails?
Final answer:
The expected number of heads and tails when tossing a coin 10 times is 5 each.
Explanation:
If you toss a coin ten times:
Expected number of heads: 5
Expected number of tails: 5
This is because for each toss, the probability of getting a head is 0.5 (50%) and the same for a tail. Over multiple tosses, the outcomes tend to approach these expected values.
You need five liters of yoda soda for every 12 guests if you have 36 guests how many liters do you need
Which killed the greatest number of American soldiers during the Spanish-American war?
A) yellow fever
B) invasion of Puerto Rico
C) battle of Manila Bay
D) battle of San Juan Hill
One positive integer is 6 less than twice another. the sum of their squares is 569. find the integers.
It takes an older pump twice as long to drain a certain pool as it does a newer pump. working together, it takes the two pumps 3 hours to drain the pool. how long will it take the newer pump to drain the pool working alone
It would take the newer pump 4.5 hours to drain the pool working alone.
Given that,
It takes an older pump twice as long to drain a certain pool as it does a newer pump.
Let us assume that,
The time it takes for the newer pump to drain the pool alone is x hours.
Hence, According to the information given, the older pump takes twice as long, so it would take 2x hour to drain the pool alone.
Now, When both pumps work together, their combined rate of draining the pool is additive.
Therefore, the equation is,
[tex]\dfrac{1}{x} + \dfrac{1}{2x} = \dfrac{1}{3}[/tex]
Simplify the equation for x,
[tex]\dfrac{(2 + 1)}{2x} = \dfrac{1}{3}[/tex]
[tex]\dfrac{(3)}{2x} = \dfrac{1}{3}[/tex]
Cross multiplication,
[tex]3 \times 3 = 2x[/tex]
[tex]2x = 9[/tex]
Dividing both sides by 2:
[tex]x = 4.5[/tex]
Therefore, it would take the newer pump 4.5 hours to drain the pool working alone.
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A rectangle has a perimeter of 60 inches and length of 22 what is the width of the rectangle
perimeter = 2l +2w
length = 22
perimeter = 60
60 = 2(22) +2w
60 = 44 +2w
subtract 44 from both sides
16 = 2w
w = 16/2
w = 8
width is 8 inches
For any distribution, what is the z-score corresponding to the median? 0 1 n cannot be determined from the information given
A jar of coins contains dimes, pennies, and quarters. There are 220 pennies in the jar. There are 3 quarters for every 4 pennies, and there is 1 dime for every 3 quarters. How many dimes and quarters are in the jar?
A.55 dimes and 165 quarters
B.98 dimes and 293 quarters
C.73 dimes and 98 quarters
D.165 dimes and 55 quarters
Answer:
A. 55 dimes and 165 quarters
Step-by-step explanation:
Given,
The number of pennies in the Jar = 220,
∵ There are 3 quarters for every 4 pennies,
i.e. 4 pennies = 3 quarters,
⇒ 1 penny = [tex]\frac{3}{4}[/tex] quarter
⇒ 220 pennies = [tex]220\times \frac{3}{4}[/tex]
[tex]=\frac{660}{4}[/tex]
= 165 quarter.
Therefore, there are 165 quarters.
Now, there is 1 dime for every 3 quarters,
i.e. 3 quarters = 1 dime
⇒ 1 quarter = [tex]\frac{1}{3}[/tex] dime,
⇒ 165 quarters = [tex]\frac{165}{3}[/tex] = 55 dimes.
Therefore, there are 55 dimes.
Option 'A' is correct.
find sin x if cos x= 2/3 and x is in quadrant 4
Determine the intercepts of the line. y=-7x+3y=−7x+3
Answer:
Step-by-step explanation:
y=−7x+3x intercept when y = 0so-7x + 3 = 0-7x = -3 x = 3/7y intercept when x = 0 so y = 3
answer
x intercept (3/7 , 0)y intercept (0, 3)
The length of a rectangle is 2 cm longer than its width. if the perimeter of the rectangle is 36 cm , find its area.
The area of the rectangle is 80 square cm.
Explanation:To find the area of a rectangle, we need to know the length and width. Let's denote the width of the rectangle as 'w'. As given, the length of the rectangle is 2 cm longer than its width, so the length can be represented as 'w + 2'.
The perimeter of a rectangle is the sum of all four sides. In this case, it is given as 36 cm. Using the formula for the perimeter of a rectangle, we can set up the equation:
2(w + w + 2) = 36
Simplifying the equation:
4w + 4 = 36
4w = 32
w = 8
Substituting the value of 'w' back into the expression for length:
Length = 8 + 2 = 10
The area of a rectangle is given by the formula: area = length × width. So, the area of this rectangle is:
Area = 10 × 8 = 80 square cm
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How many terms are there in a geometric series if the first term is 7, the common ratio is 2, and the sum of the series is 105?
Hint: (image attached below) r ≠ 1, where a1 is the first term and r is the common ratio.
OPTIONS
A) n = 3
B) n = 4
C) n = 5
D) n = 6
Answer:
the answer would be B. N=4
In a country where prices are rising quickly, bread that now costs $1.39 will cost 2.4 times as much next year. How much will the bread cost next year? (Round your answer to the nearest cent
The composition is applied to △RST to create the image of △R"S"T", which is not shown.
What are the coordinates of point S"?
Answer:
S''(-3/2, 9/2)
Step-by-step explanation:
In a dilation, the coordinates of every ordered pair in the pre-image are multiplied by the scale factor to create the ordered pairs of the image.
The first dilation has a scale factor of 1/2. This maps:
R(-6, 10)→R'(-6/2, 10/2) = R'(-3, 5)
S(-2, 6)→S'(-2/2, 6/2) = S'(-1, 3)
T(-10, 0)→T'(-10/2, 0/2) = T'(-5, 0)
The second dilation has a scale factor of 3/2:
R'(-3, 5)→R''(-9/2, 15/2)
S'(-1, 3)→S''(-3/2, 9/2)
T'(-5, 0)→T''(-15/2, 0)
This makes S'' have coordinates (-3/2, 9/2).
Answer: a :)
Step-by-step explanation:
What is the factored form of 5x2 + 28x + 15?
What is the 1st term when 3x3 − 7x + 6x4 − 2x2 is arranged in descending order?
3x3
−7x
6x4
−2x2
The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 5:18. There are 36 gallons of gasoline. How many ounces of oil are there?
16 ounces
10 ounces
129.6 ounces
2.5 ounces
The amount of oil, in ounces, in the fuel mix can be found using a proportion with the given ratio and the amount of gasoline.
Explanation:To find the number of ounces of oil, we need to use the given ratio and the amount of gasoline. The ratio of oil to gasoline is 5:18, meaning that for every 5 ounces of oil, there are 18 gallons of gasoline. Since we know that there are 36 gallons of gasoline, we can set up a proportion to find the number of ounces of oil:
5 ounces / 18 gallons = x ounces / 36 gallons
Cross multiplying, we get:
18x = 5 * 36
Simplifying further:
18x = 180
Dividing both sides by 18, we get:
x = 10 ounces
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The function f(x) is graphed on the coordinate plane.
What is f(−2) ?
Enter your answer in the box.
f(−2)=
Answer:
The correct answer is f(-2)= -2
Step-by-step explanation:
What is the equation, in point-slope form, for a line that goes through (2, −6) and has a slope of −3/4 ? y−6=3/4(x−2) y+6=−3/4(x−2) y+6=−3/4(x+2) y−6=−3/4(x+2)
Answer:
option 3 aka c
Step-by-step explanation:
How did the great pyramid of giza get 30 feet shorter?
There are 365 days per year, 24 hours per day, 12 months per year, and 60 minutes per hour. how many minutes are in a month?
It is found that there are 43,800 minutes in a month.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We knowt that there are 365 days per year, 24 hours per day, 12 months per year, and 60 minutes per hour.
1 day = 24 hour
1 hour = 60 minutes.
1 minutes = 60 seconds
Therefore, 24 hours = 24 x 60 = 1440 minutes
There are 1440 minutes in one day.
Then 30 days = 30 x 1440 = 43,800
Hence, It is found that there are 43,800 minutes in a month.
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a basketball court measures 94 feet in length and w feet in width. it's perimeter is 288 feet. which value of w makes the equation 2(94) + 2w = 288 true? A.50ft B. 55 feet C. 65 feet D. 60 feet
Find the slope of the line passing through points q(8, 7) and p(4, 1).
Hi there! :)
Step-by-step explanation:
[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{1-7}{4-8}=\frac{-6}{-4}=\frac{-6/2}{-4/2}=\frac{-3}{-2}=\frac{3}{2}[/tex]
Slope is 3/2.
Final answer is 3/2.
Hope this helps!
Thanks!
Have a nice day! :)
:D
Two step equations
6=a/4+2
a =16 is the solution of the given equation.
To solve the equation 6 = a/4 + 2, we'll perform two steps to isolate the variable 'a'.
Step 1: Subtract 2 from both sides of the equation:
6 - 2 = a/4 + 2 - 2
4 = a/4
Step 2: Multiply both sides of the equation by 4 to get rid of the fraction:
4 * 4 = (a/4) * 4
16 = a
Therefore, the solution to the equation is a = 16.
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−t/4=−3π
What is the answer to T
the value of (t) that satisfies the equation is approximately (37.6992).
Let's solve the equation [tex]\(-\frac{t}{4} = -3\pi\) for \(t\).[/tex]
Step 1: Multiply both sides by \(-4\) to isolate \(t\).
[tex]\[-\frac{t}{4} \times (-4) = -3\pi \times (-4)\][/tex]
This simplifies to:
[tex]\[ t = 12\pi \][/tex]
Step 2: Substitute the value of \(\pi\) to get the final answer.
[tex]\[ t = 12 \times 3.14159 \][/tex]
[tex]\[ t = 37.6992 \][/tex]
Therefore, the value of ( t ) is approximately ( 37.6992 ).
To solve the equation [tex]\(-\frac{t}{4} = -3\pi\) for \(t\)[/tex] , we first want to isolate (t) on one side of the equation. To do this, we can multiply both sides of the equation by (-4). This cancels out the fraction and leaves us with (t) on the left side:
[tex]\[-\frac{t}{4} \times (-4) = -3\pi \times (-4) \\t = 12\pi\][/tex]
Now, to get the numerical value of \(t\), we substitute the value of \(\pi\), which is approximately \(3.14159\), into the equation:
[tex]\[ t = 12 \times 3.14159 \][/tex]
[tex]\[ t \approx 37.6992 \][/tex]
Therefore, the value of (t) that satisfies the equation is approximately (37.6992).
complete question
−t/4=−3π
What is the answer to T
Which of the following illustrates the truth value of the given statements? A square root of 16 is 4, and the only square root of 9 is -3.
T F → F
T T → T
F T → F
F F → F
The intersection of two planes is a point, and two lines intersect in a point.
T T → T
F T → F
T F → F
F F → F
The alphabet has 28 letters, and a week has seven days.
T T → T
T F → F
F F → F
F T → F
ray bought 5 lemons and 3 limes for $7.20. Lia bought 4 lemons and 6 limes for the same price. How much would it cost to buy 1 lemon and 1 lime?
Answer: The cost of 1 lemon is $1.2 and the cost of 1 lime is $0.4.
Step-by-step explanation:
Let x be the cost of 1 lemon and y be the cost of 1 lime.
Then for Ray, the equation representing total price will be :-
[tex]5x+3y=7.20[/tex]................................(1)
For Lia, the equation representing total price will be :-
[tex]4x+6y=7.20[/tex]..................................(2)
Dividing 2 on the both sides of equation (2), we get
[tex]2x+3y=3.60[/tex]...............................(3)
Subtracting (3) from (1), we get
[tex]3x=3.6\\\\\Rightarrow x=1.2[/tex]
Substitute value of x in (3), we get
[tex]2(1.2)+3y=3.6\\\\\Rightarrow2.4+3y=3.6\\\\\Rightarrow3y=1.2\\\\\Rightarrow y=0.4[/tex]
Thus, the cost of 1 lemon is $1.2 and the cost of 1 lime is $0.4.