Answer:
y= ¼x +1
Step-by-step explanation:
Rewriting the equation into the slope-intercept form (y= mx +c, where m is the gradient and c is the y- intercept):
4y -x= -20
4y= x -20 (+x on both sides)
y= ¼x -5 (÷4 throughout)
Thus, slope of given line is ¼.
Parallel lines have the same gradient.
Gradient of line= ¼
y= ¼x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 8, y= 3,
3= ¼(8) +c
3= 2 +c
c= 3 -2
c= 1
Hence the equation of the line is y= ¼x +1.
I NEED THE ANSWER ASAP PLZ ;C
The top right quadrant is quadrant 1.
The top left quadrant is quadrant 2.
The bottom left quadrant is quadrant 3.
The bottom right quadrant is quadrant 4.
Therefore, point D is in the fourth quadrant.
(-6)^-1 multiply by x = 27^-1. find x
Rewrite the sentences below to make them more concise. During that time period, many car buyers preferred cars that were pink in color and shiny in appearance.
Answer:
Pink, shiny cars were preferred by buyers at that time
Step-by-step explanation:
Rewriting the sentence, removing unnecessary words
PLEASE ANSWER CORRECTLY FOR BRAINLIEST:
25.
26.
27.
29.
Answer:
x = 6
Step-by-step explanation:
5 (x - 3) + 2 = 5 (2x - 8) - 3
remove the parenteses
5x - 15 + 2 = 10x - 40 - 3
calculate5x - 13 = 10x - 43
move the terms5x - 10x = -43 + 13
collect like terms calculate-5x = -30
divide both sidesSolution
x = 6
If x + 10 = 70, what is x?
Answer:
x=60
Step-by-step explanation:
First, you subtract 10 from both sides. Your final answer is 60.
In the coordinate plane, two vertices of square ABCD are A (0, 0) and B (0, m). What are the coordinates of points C and D? Do not introduce any new variables.
Answer:
The coordinate of point C is (m,m) and the coordinate of point D is (m,0).
Step-by-step explanation:
Square:
In a square, all sides have the same length.
A (0, 0) and B (0, m).
This means that the length of the sides is m.
So:
From A, adding m vertically, we get point (0,m), which is B.
From A, adding m horizontally, we get point (m,0), which I will call D.
From B, adding m horizontally, we get point (m,m), which I will call C.
The coordinate of point C is (m,m) and the coordinate of point D is (m,0).
Write the equation of the line in Slope-Intercept Form given the information below.
Slope =−7/4
Y-Intercept =5
Answer:
y = -7/4 x + 5
Step-by-step explanation:
work out 1 2/3 x 1 1/5
pls give the full answer with working out
{NOTE:the 2/3 and the 1/5 are fractions and the 1's are the whole numbers}
Answer:
5/3*1/5= 1/3
Step-by-step explanation:
change the mixed fraction into improper fraction which is 1*3+2=5
then multiply
What should you substitute for y in the bottom equation to solve the system by the substitution method?
A. y=3x+15
B. y =-x-5
C. y=x+5
D. y=-3-15
Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?
Answer:
Your answer is (0,4)
Step-by-step explanation:
Which of the statements proves that the lines a and b are parallel?
Answer:
C
Step-by-step explanation:
1,2 are both supplementary
Fifth grade students from Garden City Elementary School left for a field trip at the time shown on the clock.(6:54am) They returned from the field trip at 10:24 p.M. How long were the students on this field trip?
Answer:
15 hour(s) and 30 minute(s).
Step-by-step explanation:
Answer:
krkrkrl4k3?8999kekek
Step-by-step explanation:
the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have
. How do we have a look at the moment. The comments for the first time in the UK. I
Write down five numbers so that:the mean is 6,the median is 5 and the mode is 4
Answer:
4 , 4 , 5 , 6 , 11
Step-by-step explanation:
Mode = 4
So at least two times 4 should be there in the data.
And median is 5. So the middle term ( 3rd term} should 5.
Let x and y be the 4th term and 5th term
Data set:
4 , 4 , 5 , x , y
Mean =6
[tex]\frac{4+4+5+x+y}{5}=6\\[/tex]
4+4+5 +x + y = 6*5
13 + x + y = 30
x + y = 30 - 13
x + y = 17
x ,y can be any numbers that sum up to 17.
x , y can be 10 , 7 or 6, 11
Data set: 4 , 4 , 5 , 6, 11
A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice type do you need for a 375 ml mixture?
Answer: a good amount
Step-by-step explanation:
because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry
Please help timed question (question included in photo). I'll mark as brainiest!
Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
[tex]tan(2)=\frac{200}{x}[/tex] and
[tex]x=\frac{200}{tan(2)}[/tex] so
x = 5727.25 feet, the third choice down
Answer:
[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]
[tex]x=5,727.25[/tex]
------------------------
hope it helps..
have a great day!!
I need help ASAP !!!!
Answer:
{-4,2,6,9}
Step-by-step explanation:
Mathematically, the domain refers to the possible x-values
what this mean in the relation view are the values listed in the left ellipse
So we have the domain as;
{-4,2,6,9}
Find the values of x and y.
Answer:
x=14
y=24
Step-by-step explanation:
4y+42=8y-54
4y-8y=54-42
-4y/4=96/-4
y=24
solving for x
5x-28=7x-56
5x-7x=-56+28
-2x/-2=-28/-2
x=14
how many meters are there in 50 foots
Answer:
15.24m
Step-by-step explanation:
1-foot=0,304m then 50-foot=0,304*50=15,2 m
A can of cashews mixed with almonds costs $24.60. Cashews cost $4.25//lb and almonds cost $3.80/lb. There are twice as many cashews as almonds in the can. How many pounds of each type are in the can?
Answer: 2 and 4 lb
Step-by-step explanation:
Given
There are twice as many cashews as almonds in the can
Cashews costs [tex]\$4.25\ lb[/tex]
Almonds costs [tex]\$3.80\ lb[/tex]
Can costs $24.60
Suppose there are x lb almonds, so there is 2x lb cashews
[tex]\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb[/tex]
Amount of cashews =4 lb
Amount of almonds =2 lb
Complete the equation: 2^2 – 14x + __ = (_)^2
A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7
Mr. Lord borrowed $100,000 from a bank at a rate of 8% per annum for 3 years. Calculate the amount accruing for the loan
Answer: [tex]\$125,971.2[/tex]
Step-by-step explanation:
Given
Principal amount [tex]P=\$100,000[/tex]
Rate of interest [tex]r=8\%[/tex]
Time period [tex]t=3\ yr[/tex]
Amount in compound interest is given by
[tex]\Rightarrow A=P\left(1+r\%\right)^t\\\Rightarrow A=100,000(1+0.08)^3\\\Rightarrow A=\$125,971.2[/tex]
Thus, the amount accruing for loan is [tex]\$125,971.2[/tex]
What is the median of the data set given below?
19, 22, 46, 24, 37, 16, 19,33
A. 24
B. 23
C, 19
D. 27
Answer:
B. 23
Step-by-step explanation:
16, 19, 19, 22, 24, 33, 37, 46
Median = n/2
= 8/2
= 4//
(22 + 24)÷2 = 46 ÷ 2
= 23
the diameter of circle Q is 14 cm. Find the arc length of PR.
Answer:
4.15, or 1.32pi
Step-by-step explanation:
arclength is circumference(34/360)
so pi x d (34/360)
3.14 x 14 x (34/360) = 4.15, or 1.32pi
The arc length PR is 4.151 cm.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the centre.A section of a line that runs from a circle's centre to any point on the circle itself. "R" or "r" stand for the circle's radius.
As per the given data:
The diameter of circle Q = 14 cm
From the given diagram:
∠PQR = 34°
For finding out the arc length PR:
arc length = angle in radian × radius
radius = diameter / 2 = 14 / 2 = 7 cm
angle in radian = 34° × (π / 180°) = 0.593 radians
arc length PR = 0.593 × 7 = 4.151 cm
Hence, the arc length PR is 4.151 cm.
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Simplify this expression:
-(x+2)+4
i have no idea im not good with math ;(
ANSWER :
- ( x+ 2 ) + 4
-x - 2 + 4
-x + 2
Answer:
−x+2
Step-by-step explanation:
-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.
Add -2 and 4 and that will turn into -x+2.
Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is 24 • __
Step-by-step explanation:
(3^5 - 3^4) (3^3 + 3^2)
= (243 - 81) (27 + 9)
= (162) (36)
= 5832
24 = 8*3
since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3
5832 is therefore divisible by 24
check:
5832/24 = 243
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
write the expression that represents the phrase: the quotient of 10 and x
Answer:
Step-by-step explanation:
[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]
in the diagram below,RQ is parallel to ST. ST =4cm RP =10cm PT = 5cm a.find,. i.the scale factor. ii.|RQ|. b.if the area of ∆PRQ is 80 cm find the area of triangle ∆PST.
Answer:
us7e7eoeod8rr8r88rr8 fnddkdkiduduruScale factor is 1/2. and, Area of PST = 20cm^2
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
we get in the diagram below, RQ is parallel to ST.
ST =4cm
RP =10cm
PT = 5cm
Now, PRQ is larger than PTS
i.e. the scale factor = 5/10
=1/2
And, |RQ|= ST*2
=4*2
=8
Now, area of PRQ =80cm^2
so, area of PST = 80*1/2^2
=80*1/4
=20cm^2
Hence, Scale factor is 1/2., Area of PST = 20cm^2.
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A 90 % confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. the interval was ($133, 306, $150, 733). To make useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width?
A) Increase the sample size and increase the confidence level.
B) Decrease the sample size and increase the confidence level.
C) Decrease the sample size and decrease the confidence level.
D) Increase the sample size and decrease the confidence level.
Answer: D) Increase the sample size and decrease the confidence level.
Step-by-step explanation:
A reduced interval width means that the data is more accurate. This can only be achieved if the sample size is increased because a larger sample size is able to capture more of the characteristics of the variables being tested.
A smaller confidence interval will also lead to a reduced interval width because it means that the chances of the prediction being correct have increased.
x/3 + 8 = 23 . Find the value of x
Answer:
45
Step-by-step explanation:
x/3 + 8 =23
=> x/3 = 23-8
=> x/3 = 15
=> x = 15 x 3
x = 45
Answer:
x=45
Step-by-step explanation:
To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.