Answer:
The answer is
4x + y - 6 = 0Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
4x + y + 1 = 0
y = - 4x - 1
Comparing with the above formula
Slope / m = - 4
Since the lines are parallel their slope are also the same
That's
Slope of the parallel line is also - 4
Equation of the line using point ( 1 , 2) is
y - 2 = -4(x - 1)
y - 2 = - 4x + 4
4x + y - 2 - 4
We have the final answer as
4x + y - 6 = 0Hope this helps you
1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will Arjun have in his savings account? £ 1. Connor invests £1500 of his money for 2 years at a simple interest rate of 10%. How much money will he get back in interest?
Answer:
1. 900
2. 350
Step-by-step explanation:
the formula,
A= P(1+rt)
A= final amount
P= starting amount
r= intrest rate
t= time
1. A=750(1+.05*4)
A=750(1.2)
A=900
2. A=1500(1+.1*2)
A=1500(1.1)
A=1650
But theyre
asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned
1650-1500=350
a system of linear equations is given by the tables. One of the tables is represented by the equation y= -1/3x + 7
the equation that represents the other equation y= x +
the solution of the system is ( , )
Answer:
Other equation: y = 1/3x + 5
Solution: (3, 6)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Identify tables
1st table is the unknown equation
2nd table is the known equation (found using y-intercept 7)
Step 2: Find missing equation
m = (6 - 5)/(3 - 0)
m = 1/3
y = 1/3x + b
5 = 1/3(0) + b
5 = b
y = 1/3x + 5
Step 3: Find solution set using substitution
1/3x + 5 = -1/3x + 7
2/3x + 5 = 7
2/3x = 2
x = 3
y = 1/3(3) + 5
y = 1 + 5
y = 6
Instructions: Find the measure of the indicated angle to the
nearest degree
Answer:
x = 60°
Step-by-step explanation:
let the missing angle be = x
Cos x = 8/16
x = Cos-¹ 0.5
x = 60°
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
In a local town, 54,000 families have incomes less than $25,000 per year. This number of families is 60% of the families that had this income level 12 years ago. What was the number of families who had incomes less than 25,000 per year 12 years ago
Answer: 90,000
Step-by-step explanation:
From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.
To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:
Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.
Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:
60% of x = 54,000
60/100 × x = 54,000
0.6 × x = 54,000
0.6x = 54,000
Divide by 0.6
0.6x/0.6 = 54000/0.6
x = 90,000
The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.
if sade can be 12 years and his mother senior him with 24 years and his dad senior him with 30 yearshow old is the sum of the both parents
Answer:
88
Step-by-step explanation:
mother's age = 12+24
= 36
father's age = 12+40
=52
add the parent age= 36+52
= 88
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm, end text long.
Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
Please help, thanks :) (Question is attached below)
Answer:
Solution : Graph 4
Step-by-step explanation:
Let's break down this function,
{ y = 5 if x ≤ - 2, y = 0 if x = 3, y = - 1 if x > 3 }
As you can see, graph 4 is the only one that represents this.
• When y = 5, x ≤ - 2. This is represented by a ray with a colored hole, indicating that x = - 2. At the same time this ray extends infinitely in the negative direction, indicating that x < - 2.
• When y = 0, x = 3. This is represented as the point ( 3, 0 ).
• And when y = - 1, x > 3. At y = - 1 another respective ray, that has a non - filled hole, indicates that x ≠ 3. The ray extends infinitely in the positive direction, meeting the criteria that x > 3.
factor 16x to the 5th power subtract x to the third power
Answer:
X ^3 (4x+1) (4x-1)
Step-by-step explanation:
Factor x3 out of 16x5−x3
Rewrite 16x2 as (4x)2
Rewrite 1 as 1^2
Factor
x^3 (4x+1) (4x-1)
I hope I helped
The co ordinates of the point where lines ax = by and ay=6x intersects are
Answer: (0, 0)
Step-by-step explanation:
ax = by ay = 6x
[tex]\dfrac{ax}{b}=y\qquad \quad y=\dfrac{6x}{a}[/tex]
Use substitution:
[tex]\dfrac{ax}{b}=\dfrac{6x}{a}\\\\\\\text{Cross Multiply:}\\a^2x=6bx\\\\\\\text{Solve for x:}\\a^2x-6bx=0\\x(a^2-6b)=0\\x=\dfrac{0}{a^2-6b}\\\large\boxed{x=0}[/tex]
Substitute x = 0 to solve for y:
[tex]\dfrac{ax}{b}=y \\\\\dfrac{a(0)}{b}=y\\\\\large\boxed{0=y}[/tex]
Carlos has 275% as much money as Mariame. Together they have $90. How much money does Mariame have?
Answer:
$24.
Step-by-step explanation:
Let's say Carlos has $c of money, and Mariame has $m of money.
c = 2.75m
c + m = 90
2.75m + m = 90
3.75m = 90
m = 24
c + 24 = 90
c = 66
So, Mariame has $24 and Carlos has $66.
Hope this helps!
Eric has a bag of 100 marbles. The bag contains 27 red marbles and 42 green marbles, and the rest are blue
marbles.
Eric is interested in the following events.
A: drawing a blue marble
B drawing a red marble
if Eric randomly draws two marbles, without replacing the first one, what is P(AB)?
Enter your answer as a fraction in simplest form. For example. If your answer is which reduces to enter it like
this: 3/4
Answer:
P(AB) = 837/9100
Step-by-step explanation:
The given parameters are;
The number of marbles in the bag = 100 marbles
The number of red marbles = 27
The number of green marbles = 42
The number of blue marbles = 100 - 27 - 42 = 31
The probability, A of drawing a blue marble = 31/100
The probability,B of drawing a red marble after a blue marble has been taken without replacement = 27/91
The probability P(AB) = 31/100× 27/91 = 837/9100
The probability that Eric randomly draws two marbles without replacing the first one where the first one is a blue marble and the second marble is a red marble is 837/9100.
DONT EXPLAIN just help me with the answer pleaseeee !
Answer:
A.928.20 is the answers..
3) The Buendorf family has agreed to let their children get some animals. The kids said they
want chickens and goats, so the parents told them the number of chickens could be four
times that of the number of goats. They are allowed to have no more than 30 total animals.
What are the possible number of chickens and goats?
Answer:
The possible number of goats is 6 and the possible number of chicken is 24
Step-by-step explanation:
Let
chicken=c
Goat=g
the number of chickens could be four times the number of goats
c=4g
Total number of animals=30
c+g=30
Recall, c=4g
So,
c+g=30
4g+g=30
5g=30
Divide both sides by 5
5g/5=30/5
g=6
Recall,
c+g=30
c+6=30
c=30-6
=24
c=24
The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals
The length of the second side of a triangle is 2 inches less than the length of the first side.The length of the third side is 12 inches more than the length of the first side.the perimeter of the triangle is 73 inches.Find the length of each side of the triangle.
Answer:
The lenght of the tree sides of the triangle are:
first side: 21 inches
second side: 19 inches
third side: 33 inches
Step-by-step explanation:
a + b + c = 73
b = a - 2
c = a + 12
a = leght of the first side of the triangle
b = lenght of the second side of the triangle
c = lenght of the third side of the triangle
then:
a + (a-2) + (a+12) = 73
3a - 2 + 12 = 73
3a + 10 = 73
3a = 73 - 10
3a = 63
a = 63/3
a = 21 inches
b = a - 2
b = 21 - 2
b = 19 inches
c = a + 12
c = 21 + 12
c = 33 inches
Check:
21 + 19 + 33 = 73
related task:
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The length of the sides of the triangle are:
first side: 21 inchessecond side: 19 inchesthird side: 33 inchesWhat is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the sides of triangles be x, y, z.
As, perimeter of the triangle is 73 inches.
x+ y+ z= 73................(1)
and, length of the second side of a triangle is 2 inches less than the length of the first side.
y= x- 2
and, length of the third side is 12 inches more than the length of the first side.
z= x + 12
Substitute the values of y and z in equation (1)
x+ x-2 + x+ 12= 73
3x + 10 =73
3x= 63
x= 21
Then, First side= 21 inch
second side = 21 - 2 = 19 inch
third side= 21+ 12 = 33 inch
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the scale on the map is 1 cm represents 40 km . the actual straight line distance between 2 cities is about 320 km what is the map distance between these 2 cities
Answer:
8cm
Step-by-step explanation:
the ratio of cm to km is 1 cm on the map equals 40 km. or 1/40 so you have to find what is x/320 using the ratio of 1/40 you gt that x equals 8
A garden has an area of 264ft^2. Its length is 10 ft more than its width. What are the dimensions of the garden?
Answer:
Length = 22 ftWidth = 12 ftStep-by-step explanation:
Let length of the garden be ' x + 10 '
Let breath of the garden be ' x '
Area of the garden = 264 ft²
Now, let's find the breath of the garden 'x'
[tex]x(x + 10) = 264[/tex]
Distribute X through the parentheses
[tex] {x}^{2} + 10x = 264[/tex]
Move constant to left and change its sign
[tex] {x}^{2} + 10x - 264 = 0[/tex]
Write 10x as a difference
[tex] {x}^{2} + 22x - 12x - 264 = 0[/tex]
Factor out X from the expression
[tex]x(x + 22) - 12x - 264 = 0[/tex]
Factor out -12 from the expression
[tex]x(x + 22) - 12(x + 22) = 0[/tex]
Factor out X +22 from the expression
[tex](x + 22)(x - 12) = 0[/tex]
When the products of factors equals to 0 , at least one factor is 0
[tex]x + 22 = 0[/tex]
[tex]x - 12 = 0[/tex]
Solve for X
[tex]x + 22 = 0[/tex]
[tex]x = 0 - 22[/tex]
[tex]x = - 22[/tex]
Again,
[tex]x - 12 = 0[/tex]
[tex]x = 0 + 12[/tex]
[tex]x = 12[/tex]
(The dimensions can't be negative. )
So, width = 12 ft
Now, let's find the length of the garden ' X + 10 '
[tex]x + 10[/tex]
Plug the value of X
[tex]12 + 10[/tex]
Calculate the sum
[tex] = 22 \: ft[/tex]
Therefore,
Length = 22 ftWidth = 12 ftHope this helps..
Best regards!
Find the missing lengths of the sides.
A plane started on a flight at 9:30 a.m and arrived at its destination at 1:45pm. The plane used 51 gallons of gas. The number of gallons used per hour was
Will mark Brainlist
Answer:
12 gallons per hour
Step-by-step explanation:
Given the following :
Start time of flight = 9:30 a.m
Arrival time of flight = 1:45p.m
Gallons of gas used during duration of flight = 51 gallons
Number of hours spent during flight:
Arrival time - start time
1:45 pm - 9:30 am = 4hours and 15minutes
4hours 15minutes = 4.25hours
If 4.25hours requires 51 gallons of gas;
Then 1 hour will require ( 51 / 4.25)gallons
= 51 / 4.25
= 12 gallons
Valerie had a jug that contained 128 fl oz of salsa to put into bowls at a restaurant. She filled each bowl with 6 fl oz of salsa until there was not enough salsa left in the jug to completely fill another bowl. How many fluid ounces of salsa were left in the jug?
Answer: 2 fl oz
Step-by-step explanation:
Division with remainders
128/6=21.33333..
[tex]21\cdot 6=126[/tex]
128-126=2
2 fl oz was left in the jug
Which is the best estimate of A.2 B.6 C.12 D.24
Answer:
24
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ ( 4*1 +3 ) /4
90/7 ÷ 7/4
Copy dot flip
90/7 * 7/4
90/4
22.5
Best estimate is 24
Answer:
A:2
Step-by-step explanation:
A is the answer because 90 divided by 7 is 12.8 which would be 13, and the 1 and 3/4 would be 7. 13 divided by 7 would equal 1.85. When rounded your answer would be 2.
Complete the table for the given rule.
1
Rule: y =-
4
y
13
4
2
Answer:
x y
1/4 0
13/4 3
2 7/4
Step-by-step explanation:
To complete the table we just need to replace the value of x and get y as:
for x = 1/4
[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]
for x=13/4
[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]
for x=2
[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]
So, the complete table is:
x y
1/4 0
13/4 3
2 7/4
in a quiz bhaskar scored -60,20and0and tamanna scored 20,0and60 in three successive rounds.who socred more
Answer:
Tamanna scored more.
Step-by-step explanation:
Bhaskar scored -60, 20 and 0. His total score is therefore:
-60 + 20 + 0 = -40
Tamanna scored 20, 0, 60. His total score is therefore:
20 + 0 + 60 = 80
Therefore, Tamanna scored more.
What is the circumference of a circle with a diameter of 100m. A 100m B 157m C 300 m D 314m
Answer:
C = 314 m
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
Using 3.14 for pi
C = 3.14 * 100
C = 314 m
Answer:
The answer is option D.
314mStep-by-step explanation:
Circumference of a circle = πd
Where d is the diameter
From the question
d = 100m
Circumference of the circle is
100π
= 314.2
Which is 314m to the nearest whole number
Hope this helps you
Please help with 4.)
WILL MARK BRAINLIEST X
Answer:
a) More.
b) Less.
c) More.
Step-by-step explanation:
a) If you invest $10 with an interest rate of 50% (that's very high I know XD), you would earn 10 / 2 = $5 in interest. If you invest $100 with an interest rate of 50%, you would earn 100 / 2 = $50 in interest. So, the more principal invested, the more interest earned.
b) Let's say you are investing $100. If there is an interest rate of 50%, as stated before, you would earn $50 in interest. If the interest rate were lowered to 25%, you would earn 100 / 4 = $25 in interest. So, the lower the interest rate, the less the interest.
c) The same exact thing as part a.
Hope this helps!
Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank
Answer:
d
Step-by-step explanation:
38. Convert 85 to a number in base eight.
O 95 (base eight)
O 105 (hase eight)
O 115 (base eight)
O 125 (base eight)
Answer:
divide the number by 8 and write the remainder like this 10 r 5.Then you get your answer by going through the remainders in an upward direction. So the answer is 125
the legnth of rectangular sheet decreases by 34.5 cm its width decreases proportionally that is by the same percentage. if the sheets original width was half of the legnth and the new (smaller) area was 1.2 m^2 what was original sheet's width
Answer:
The original width was 94.71 cm
Step-by-step explanation:
Given:
new smaller area = 1.2m^2
Decrease in length of the rectangular sheet = 34.5cm
Therefore:
1. the final width of the sheet is given as
2X^2 = 1.2 m^2
X^2 - 0.6 m^2
X^2 = 10000 * 0.6 cm
X = 77.46 cm (this is the width)
2. The length of the sheet
= 2 * 77.46
= 154.92 cm.
3. Initial length of the sheet
= 154.92 + 34.5
= 189.42 cm.
4. Initial width of the sheet ( original ).
= 189.42 / 2
= 94.71 cm.
5. Initial area of the sheet
= 94.71 * 189.92
= 17939.9 cm^2
New area of the sheet
= 79.46 * 154.92
= 12000.1 cm^2
Difference between the initial and new area
= 17939.9 - 12000.1
= 5939.86 cm^2
Percentage of area decrease
= 5939.86 ' 17939.9
= 33.1%
What is the unit price of a quart of juice for $0.79?
A. $3.16/gallon
B. 3 half-gallons for $5.40
C. $3.16/1b
D. 7 pints for $4.20
Answer:
a
Step-by-step explanation:
there are 4 quarts in a gallon.
4 times $0.79 =$3.16
? Question
Type the correct answer in each box. Round your answers to one decimal place.
Use the function g(x) = 4(0.6)¥ to complete the table and find the y-intercept.
Answer:
-10=661.5
-1=6.7
0=4.0
1=2.4
2=1.4
8=0.1
(0,4)
Step-by-step explanation:
The y intercept is (0,4)
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = 4 (0.6)ˣ
The table shows the value of x
The value of g(x) at different value of x is
At x = -10
g(x) = 661.5
At x = -1
g(x) = 6.7
At x = 0
g(x) = 4
At x = 1
g(x) = 2.4
At x = 2
g(x) = 1.4
At x = 8
g(x) = 0.1
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