2. The weight of 8 boxes of biscuits is 128 kg. Find the weight of 19 boxes.
Answer:
1216 kg
Step-by-step explanation:
19/8 = 9.5
128 x 9.5 = 1216
URGENT: find the volume of the shapes
Answer:
First one should be 309 second one should be 624 I may be wrong though since I haven't done volume in years
Step-by-step explanation:
:)
Answer:
A is 381 for the whole thing
B is 792 i think i am not one hundred percent sure on this one but it should be right
Step-by-step explanation:
H=-16t^2+122t+5 where h is height in feet and t is time in seconds. How long will it take the baseball to hit the ground? h=-16t^2+162t+0.2 where h is height in feet and t is time in seconds. How long will it take the golf ball to hit the ground?
Answer:
[tex]t= 7.67[/tex]
[tex]t= 10.13s[/tex]
Step-by-step explanation:
Solving (a):
[tex]H=-16t^2+122t+5[/tex]
Required: Time to hit the ground
This means that H = 0
So, we have:
[tex]0=-16t^2+122t+5[/tex]
Rewrite as:
[tex]16t^2-122t-5=0[/tex]
Solve for t using:
[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t= \frac{122 \± \sqrt{(-122)^2 - 4*16*-5}}{2*16}[/tex]
[tex]t= \frac{122 \± \sqrt{15204}}{2*16}[/tex]
[tex]t= \frac{122 \± 123.3}{32}[/tex]
Split:
[tex]t= \frac{122 + 123.3}{32}[/tex] or [tex]t= \frac{122 - 123.3}{32}[/tex]
[tex]t= \frac{245.3}{32}[/tex] or [tex]t= \frac{-1.3}{32}[/tex]
[tex]t= 7.67[/tex] or [tex]t= -0.0406[/tex]
Time can not be negative. so: [tex]t= 7.67[/tex]
Solving (b):
[tex]h=-16t^2+162t+0.2[/tex]
Required: Time to hit the ground
This means that h = 0
[tex]0=-16t^2+162t+0.2[/tex]
Rewrite as:
[tex]16t^2-162t-0.2= 0[/tex]
Solve for t using:
[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t= \frac{162 \± \sqrt{(-162)^2 - 4*16*-0.2}}{2*16}[/tex]
[tex]t= \frac{162 \± \sqrt{26256.8}}{32}[/tex]
[tex]t= \frac{162 \± 162.04}{32}[/tex]
[tex]t= \frac{162 + 162.04}{32}[/tex] or [tex]t= \frac{162 - 162.04}{32}[/tex]
[tex]t= \frac{324.04}{32}[/tex] or [tex]t= \frac{-0.04}{32}[/tex]
Time can not be negative. So:
[tex]t= \frac{324.04}{32}[/tex]
[tex]t= 10.13s[/tex]
are the ratios 4:1 and 20:5 equivalent? and if they are how are they equivalent and if they aren't why aren't they equivalent??!!
Answer:
They are equivalent.
Step-by-step explanation:
Hi, I am a boy who is 15 using my sisters account, thats why it says faith, my name is Alex.
Answer: cool
Step-by-step explanation:
Answer: ok
Step-by-step explanation: ok
Find the area 8.4mm and 25.5mm
Answer:
214.2mm
Step-by-step explanation:
To find area (I'm assuming a rectangle since you didn't specify) All you need to do is multiply the two to find area.
Please help witch one is right
Answer: Ted
Step-by-step explanation:
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Step-by-step explanation:
Find out the expressions for the number of sweets sue and tony have now .
To proof
As given
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets
thus
sue sweets = 18 - x
Tony sweets = 18 + x
As given
Sue then eats 5 sweets. Tony then eats half of his sweets
sue sweets becomes = 18 -5 -x
= 13 - x
Tony sweets become= 18 + x /2
= 9+ x/2
hence proved.
Hence proved
I will give you branilest!
Solve 1/3(x-10)= -4
Answer:
x = -2
Step-by-step explanation:
Multiply both sides by 3 to get rid of the fraction:
x - 10 = -12
Add 10 to both sides:
x = -2
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Answer:
Width = 15 feet
Length = 45 feet
Step-by-step explanation:
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Perimeter of a rectangle = 2L + 2W
The length is 3 times the width.
L = Length = 3W
W = Width
P = 120 ft
Hence:
120 = 2L + 2W
120 = 2(3W) + 2W
120 = 6W + 2W
120 = 8W
W = 120/8
W = 15 feet
Solving for Length
L = 3W
L = 3 × 15 feet
L = 45 feet
Therefore, the dimensions of your very own dog park is
Width = 15 feet
Length = 45 feet
a - 13 < 3
what does a equal
Answer:
A=11
Step-by-step explanation:
11-13=2 and 2 is less than 3
Answer:
Step-by-step explanation:
Input:
a - 13<3
a<16
Can someone please help
Answer:
i got no clue
Step-by-step explanation:
ignc
[Will Give Brainliest, please help! ♥] The South Memorial School is designing a new playground. There will be a walkway that diagonally crosses the square playground. The walkway is 55 meters long.
I | Include a sketch of the playground and find the length of one side. Round your answer to the nearest 10th. (I've already completed the sketch, as you can see!)
II | Use your answer from Part I to find the perimeter of the playground. Round your answer to the nearest 10th. Show your work.
Helping me understand or giving me the answer would help me out a lot! THank you :]
Answer:
Perimeter = 155.6 m
Step-by-step explanation:
Notice from the diagram, that the 55 meters long diagonal is the hypotenuse of a right triangle who has equal legs. Then we can use Pythagoras to find the length of the equal legs of the square:
[tex]hyp^2 = leg_1^2 + leg_2^2\\55^2 = 2\,*\,leg^2\\3025=2*leg^2\\leg=\sqrt{\frac{3025}{2} } \\leg\approx 38.89 \,\,meters[/tex]
Therefore, the perimeter of the square playground is 4 times this value:
Perimeter = 38.89 m *4 = 155.56 m
Since they want the answer rounded to the nearest 10th, we write:
Perimeter = 155.6 m
Answer: I. 38.9 II. 155.6
Step-by-step explanation:
So we are working on 2 isosceles right triangles formed by the diagonal and two sides as it has two sides of the same length and two 45 degree angles. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'hypotenuse'
The sides of isosceles right triangles have a peculiar relationship, 1:1:√2, and one way to find the sides is to use the "pattern formula," which only applies to these triangles:
Hypotenuse= Leg*√2
We don't know the answer to the legs yet, so we have to divide both sides by √2.
L= H/√t2= 1/2H*√2. Since our hypotenuse is 55:
L= 1/2*55*√2= (55*1)/2*√2= 27.5*√2
The square root of 2 is 1.414, so multiply:
27.5*1.414= 38.9 (the length of each side.)
If you want to simplify the equation a little more, here is another way of writing it;
sides length²*2=diagonal length².
Since we know each side length, all we have to do to find the perimeter of the square is to:
Perimeter = 4*side
155.6 = 4*38.9
Hope that can help!
Please help me with this
HELP ASAP
Classic Cars paid €9000 for a vintage Ferrari and sold for €11,250. What percentage profit did they make?
Answer:770000
Step-by-step explanation:
That how much they made
Answer:
€8988.75
Step-by-step My bad that's not the answer
giving 5 stars to right one
20 is 80 percent of what number?
Answer:
20 is 80 of 25
Explanation:
20x10/8=25
A percentage is a way to describe a part of a whole. 20 is 80% of 25.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the number be x. Therefore, we can write,
80% of x = 20
0.80 × x = 20
x = 20/0.8
x = 25
Hence, 20 is 80% of 25.
Learn more about Percentages:
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PLEASE HELP ITS URGENT!!!!!!
Answer:
LCD-3x(x+2)
Final answer- x2-4x+4/ 3x2+6x
Step-by-step explanation:
okay so LCD is 3*x*(x+2)
= 3x(x+2)
so multiyling the fist expresion by x+2 and the second by x we get
2x+4+ x2-6x/ 3x(x+2)
= so
x2-4x+4/3x(x+2)
x2-4x+4/ 3x2+6x
if my answer helps please mark as brainliest.
help me please help me I'll give all my points if you help please tall help
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads S20°E at an average speed of 10 km/hr. What is the distance between them after 30minutes?
Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed = [tex]\frac{distance}{time}[/tex]
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings = [tex]105^{o}[/tex]
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bcCos A
= [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) Cos 105
= [tex]5000^{2}[/tex] + [tex]3000^{2}[/tex] -2(5000 x 3000) x (-0.2588)
= 2.5 x [tex]10^{7}[/tex] + 9 x [tex]10^{6}[/tex] + 7764000
= 41764000
a = [tex]\sqrt{41764000}[/tex]
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units.
Answer:
Im assuming your needing to divide
Step-by-step explanation:
If we do the math then A is 7 and D is 4 making 11 units
Answer:
16.9
Step-by-step explanation:
WILL GIVE BRAINLIEST!
A soil supplement that weighs 16 lb contains iron, potassium, and mulch. The supplement contains thirteen times as much mulch as iron and twice as much potassium as iron. Find the amount of mulch in the soil supplement. lb
Answer:
The answer is below
Step-by-step explanation:
Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.
Since the supplement weighs 16 lb, hence:
x + y + z = 16 (1)
Also supplement contains thirteen times as much mulch as iron. Therefore:
x = 13z
x - 13z = 0 (2)
The supplement also has twice as much potassium as iron, hence:
x = 2y
x - 2y = 0 (3)
solving equations 1, 2 and 3 simultaneously gives:
x = 10.1 lb, y = 5.1 lb, z = 0.8 lb
This means that the soil supplement contains 0.8 lb of mulch
PLEASE HELP ASAP!!!!!
A committee of eight people randomly chooses 3 people in order to be president, vice president and Treasurer in how many ways can the officers be chosen A 363 B 412 C 336 D 396
Please select the best answer from the choices provided A B C or D (Edge)
Answer:
C. 336 ways
Step-by-step explanation:
Plz mark as brainliest! :D
Which statement is true about the data sets of two sets of quiz scores?
Sample A: 5, 5, 5, 5, 5 Sample B: 2, 2, 2, 2, 17
Select one:
Samples A and B have the same mean, but Sample A has a smaller median than Sample B.
Samples A and B have the same median, but Sample A has a larger mean than Sample B.
Samples A and B have the same median, but Sample A has a smaller mean than Sample B.
Samples A and B have the same mean, but Sample A has a larger median than Sample B.
Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.
Step-by-step explanation:
The median is the middle number in the sequence.
To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.
The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.
Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.
What are measures of central tendency?The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.
Given the data sets of two sets of quiz scores,
Sample A = 5, 5, 5, 5, 5
sample B = 2, 2, 2, 2, 17
mean is the average of total samples,
mean of sample A = (5 + 5+ 5 + 5 + 5 )/5
mean of sample A = 5
Mean of sample B = (2 + 2 + 2+ 2 + 17)/5
mean of sample B = 5
since the mean of both sample are same,
median is the central digit of sets
median of A is 5 and the median of B is 2,
so the median of sample A is larger than sample B.
Hence option D is correct.
Learn more about central tendency;
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PLEASE HELP!! I NEED MATHEMATICIANS ON THIS POST!!
Sami plans on doing a total of 60 pull-ups, but she only completes 40% of her goal. How many pull-ups has Sami completed? Use the tape diagram to solve.
Answer:
60 * 40% = 24
Step-by-step explanation:
just use a calculator
Assume that y varies directly with x. If y = 17 when x = –17, find y when x = –4.
answer =
y = kx ⇒
k = y/x = 5/7
Multiply. Express in simplest form. 3/8 x 1/2
Answer:
the answer is 3/16.
Step-by-step explanation:
First, let's take a look at the expression itself.
We have to multiply 3/8 and 1/2, which gives us the expression of
3/8*1/2
then, we multiply the numerator by the numerator and get 3, then we multiply the denominator by the other denominator which gets us 16. We put the two parts together and get
3/16
which is not simplifiable. So 3/16 is the simplest answer we can get.
A right triangle has a hypotenuse of 61 mm and one side is 11 mm long. What's the perimeter and area?
Answer: P = 132mm A = 330 mm^2
Step-by-step explanation:
If EFGH is an isosceles trapezoid , EH = 4x-27, FG = x + 9 , EG = 3y + 19 and FH=11y-21, solve for x and y.
Answer: X = 12, Y = 5
Step-by-step explanation:
4x-27 = x+9
+27 +27
4x = x + 36
-x -x
3x = 36
3x/3 = 36/3
X = 12
3y + 19 = 11y - 21
+21 +21
3y + 40 = 11y
-3y -3y
40 = 8y
40/8 = 8y/8
Y = 5
The values of x and y are 12 and 5, respectively
The given parameters are:
EH = 4x-27FG = x + 9EG = 3y + 19FH= 11y - 21The slant sides of an isosceles trapezoid are equal.
So, we have:
[tex]EH =FG[/tex]
This gives
[tex]4x - 27 = x + 9[/tex]
Collect like terms
[tex]4x - x = 27 + 9[/tex]
[tex]3x = 36[/tex]
Divide through by 3
[tex]x = 12[/tex]
Also, the diagonals of an isosceles trapezoid are equal.
So, we have:
[tex]EG = FH[/tex]
This gives
[tex]3y + 19 = 11y - 21[/tex]
Collect like terms
[tex]11y - 3y =19 + 21[/tex]
[tex]8y = 40[/tex]
Divide through by 8
[tex]y = 5[/tex]
Hence, the values of x and y are 12 and 5, respectively
Read more about isosceles trapezoid at:
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4⁄3 b − 11 = 25what does b equal.
Answer:
27
Step-by-step explanation:
4/3b=25+11, 4/3b=36,b = 36*3/4 so b = 27