Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
Creating a ratio expression thus :
2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75Let :
Pounds of mulch sold = mPounds of gravel sold = gPounds of Mulch sold :
(2.25/3.75) × 180 = 108 poundsPounds of gravel sold :
(1.5 / 3.75) × 180 = 72 poundsHence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
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5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order. if the median is 17. find the value of k.
Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
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Can somebody help me with 20. Thank you!!!
Answer:
What do you mean, I'll help.
Step-by-step explanation:
What does this multiplication equation mean?
6 × 7 = 42
Select each correct answer.
Seven more than 6 is equal to 42.
Seven times as much as 6 is equal to 42.
Six times as much as 7 is equal to 42.
Six more than 7 is equal to 42.
Answer:
Step-by-step explanation:
Six times as much as 7 is equal to 42 would be the equation
given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD
The Triangles are congruent by SAS Criteria.
The step by step explanation is there in the image I attached.
Hope it helps you....
Please mark as brainlliest!!!
Is the equations true.false.or open? x+3=5
Answer:
true
Step-by-step explanation:
i just plugged in 2 for x. 40% chance im right lol
Answer:
true
Step-by-step explanation:
Work out the size of angle x
Answer:
Opposite angles are equal
Corresponding angles are equal
Angles on straight lines adds to 180
Angles in triangle adds to 180
180-98=82
82+85=167
180-167=13
Answer is 13
Write the equation of each line in slope intercept form.
Step-by-step explanation:
Formulas and Formats we'll be using:
Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]
Slope-Intercept form: [tex]y=mx+b[/tex]
m = slope
b = y-intercept
Substitute (-6, 10) and (-3, -2) into the slope formula:
[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]
Simplify:
[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]
[tex]m=-4[/tex]
*Per every -4 y, x increases by 1.
Points Included:
(-6, 10)
(-5, 6)
(-4, 2)
(-3, -2)
(-2, -6)
(-1, -10)
(0, -14)
Y-intercept:
Y-intercept represents x when it's equal to 0.
Using our points, we can determine that the y-intercept is at the point:
(0, -14)
-14 is the y-intercept.
Create a Slope-intercept form equation:
Formula: [tex]y = mx + b[/tex]
Substitute the slope, and y-intercept into the equation:
[tex]y=-4x-14[/tex]
Your equation is: [tex]y=-4x-14[/tex]
Can someone help me with this? I was wrong and cant figure it out
Answer:
A. 21.
Step-by-step explanation:
4x + 2 = 31 + 55 (external angle of a triangle theorem).
4x + 2 = 86
4x = 86 - 2
4x = 84
x = 84/4 = 21.
2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answer:
33
Step-by-step explanation:
3*4*2.75=33
We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
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The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£114
Step-by-step explanation:
Rate brainliest please
[tex] \frac{57}{360} \times 720 = 114[/tex]
Writing quadratic functions
Answer:
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...
ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS
Answer:
the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)
Anrnav was 1.5m tall in the last couple years his height increased by 20%
How tall is anrav today?
Answer:
1.8 meters
Step-by-step explanation:
It was easy for me
Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and n. packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
Answer:
16.50
Step-by-step explanation:
2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50
Answer:
2
Step-by-step explanation:
One thing on flour costs $2.50
Three things of shredded cheese costs $9.00
$9.00 + $2.50=11.50
$18.50-11.50=$7.00
$7.00/$3.50=(2)
5/9 rounded to the nearest thousand
A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 inches?
Answer:
9.5 hours
Step-by-step explanation:
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.
Answer:
r = 2.5
Step-by-step explanation:
Consider the y- coordinates of the plotted points
1 , 2.5 , 6.25
The common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5
Which is the equation of a line that is parallel to the line y= -1/3x + 1
A.y= -1/3x + 1
B.y= 3x - 2
C.y= -1/3x + 2
D.y= 1/3x + 1
Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?
Answer:
Ryan's pay increased by $300.
Step-by-step explanation:
Answer:
His pay increased by $300
Step-by-step explanation:
2,700-2,400
=300
describe fully the single transformation that maps triangle A onto triangle B.
Which number is greater explain your reasoning .375 or 3/8? help!
Hey there!
“Which one of is greater 0.375 or 3/8?”
3/8
= 3 ÷ 8
= 0.375
.375 = 0.375
0.375 = 0.375
So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
⅜ = 0,375
3 ÷ 8 = 0,375
0,375 = 0,375
True.
∆ABC has the vertices A(0,0) B(3,3) C(-3,3). Classify the triangle by its sides. Then determine whether it is a right triangle.
The sale of cars in a particular month is decreased by 20% is $3060. What was the sale of cars before reduction.
Answer:
$3672
Step-by-step explanation:
3060 x 20% = 612
612 + 3060 = 3672
The mass of a tin of paint is 890 grams, correct to the nearest 10 grams. Workout the upper bound of the total mass of 10 tins of paint.
Answer:
8900
Step-by-step explanation: :þ
Help anyone please and thank you
the answer would 1/4 of a gallon
simply because 4 of the containers equals one gallon
A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.
Answer:
40 quarters and 32 dimesStep-by-step explanation:
Given:
Quarter = 25 ¢, number of quarters = qDime = 10 ¢, number of dimes = dTotal amount = $13.20 = 1320 ¢Required equations:
q + d = 7225q + 10d = 1320Solve by elimination, multiply the first equation by 10 and subtract from the second equation:
25q + 10d - 10q - 10d = 1320 - 10*7215q = 600q = 600/15q = 40Find p:
40 + p = 72p = 72 - 40p = 32Let's take the given as,
→ q = quarters (25)
→ d = dimes (10)
→ 1320 will be the amount
→ q + d = 72
→ 25q + 10d = 1320
Now we can solve for q,
→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)
→ 15q = 1320 - 720
→ 15q = 600
→ q = 600/15
→ [ q = 40 ]
From this equation,
→ q + d = 72
We can solve for the d,
→ 40 + d = 72
→ d = 72 - 40
→ [ d = 32 ]
There are 40 quarters & 32 dimes.
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Step-by-step explanation:
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