Answer:
Each large box weighs 15.25 kg, and each small box weighs 6.25kg
Step-by-step explanation:
Let's define the variables:
A = weight of a large box.
B = weight of a small box.
We know that:
"A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms."
We can write this as:
5*A + 3*B = 95 kg
We also know that:
"A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms."
2*A + 6*B = 68kg
Then we have the system of equations:
5*A + 3*B = 95 kg
2*A + 6*B = 68kg
To solve this, the first step is to isolate one of the variables in one of the equations.
I will isolate the variable A in the second equation:
A = 68kg/2 - 6*B/2 = 34kg - 3*B
A = 34kg - 3*B
Now we can replace this in the first equation:
5*( 34kg - 3*B) + 3*B = 95 kg
170kg - 15*B + 3*B = 95 kg
170kg - 12*B = 95 kg
170kg - 95kg = 12*B
75kg = 12*B
75kg/12 = B = 6.25kg.
Now we can replace this on the equation A = 34kg - 3*B to find the value of A.
A = 34kg -3*6.25kg = 15.25kg
A forest covers 31,000 acres. A survey finds that 0.2 % of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
There are 62 acres of old growth trees
Step-by-step explanation:
You would need to find 0.2% of 31,000
Lets say 0.2% of 31,000 is Y
Y = 0.2/100
Y = 0.2 ÷ 100 x 31,000
Y= 62
chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
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Help please
Rotation
Translation
Reflection
Find the 8th term in the following sequence.
32, 16, 8, 4, ..
02
O 114
O 1/2
O 1
need help asap please
Answer:
[tex]\displaystyle yes[/tex]
Step-by-step explanation:
If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.
I am joyous to assist you at any time.
Please help me and I'll give you a Brainly star
Answer:
Step-by-step explanation:
The answer is (C)
<AEB is congruent to <BEC
SOMEONE PLS HELP
the multiplicative inverse of 1/5 and (2x-1/5)
Answer:
You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.
Step-by-step explanation:
Answer:
inverse 1/5 = (1/5)^-1
=1/(1/5)¹ = 1/(1/5) = 1(5/1) = 5/1 = 5
inverse 2x-1/5 = (2x-1/5)^-1
=1/(2x-1/5)¹ =1/(2x-1/5)
=1/(10x/5 - 1/5) = 1/(10x-1 / 5)
=1(5 / 10x-1) = 5 / 10x-1
help this is a hard question...
25.7,24.1,---------,20.9,19.3
Answer:
You just have to subtract 1.6 so the missing number is 22.5
Step-by-step explanation:
25.7 ,24.1, 22.5 , 20.9 , 19.3 , 17.7 , 16.1
2(3−8y)= i need help someone
Answer:
6-16y
Step-by-step explanation:
Distribute
2*3
2*-8y
6-16y
Answer:
this is the answer 2 • (3 - 8y)
Step-by-step explanation:
aight anybody help me man lol
Answer:
10 4/6 -> 10 2/3
Step-by-step explanation:
simpliest form is the second option :)
draw a model of 100oz of soda divided equally among 12 students. How many oz will each person have?
( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope
[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]
Substitute the coordinate point value in the equation[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]
[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]
Answer[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]
A single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories. The hashbrowns and eggs are twice the calories of the fruit platter. If Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast, how many calories did she consume during breakfast?
Answer:
364 calories
Step-by-step explanation:
1/2 of 240=120 calories
fruit platter =210 calories
1/3 of 102=34
120+210+34=364 calories
The amount of calories she consumes during breakfast is 364 calories.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local cafe. Jane goes to the local cafe to have breakfast. Their fruit platter has 210 calories and the french toast is 350 calories. A glass of orange juice is 40 calories and milk is 102 calories.
The total amount of calories consumed in breakfast will be:-
1/2 of 240=120 calories
fruit platter =210 calories
1/3 of 102=34
Total calories = 120+210+34=364 calories
Therefore, the amount of calories she consumes during breakfast is 364 calories.
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BRAINLIEST
PLEASE LEAVE A SMALL EXPLANATION AND ILL MARK BRAINLIEST :)
List the angles from least to greatest! URGENT
(BETTER IMAGE)
Answer: Y<W<Z? Im not exactly sure but it looks right to me. Correct me if im wrong though.
Step-by-step explanation:
Answer:
W<Y<Z
Step-by-step explanation:
the side WZ is longer than side ZY, so the angle W is smaller.
Which rule explains why these triangles are similar?
SSS
SAS
AA
none of the above; the triangles cannot be proven similar
Submit
Answer:
The correct answer is:
AA
△
EGH
~△
EFD
Step-by-step explanation:
I got it incorrect the first time. the person above or below me is wrong.
A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at
Answer:
THE swords men and archer men will take over
Step-by-step explanation:
Please help!!! Will give brainliest!!!
Answer:d
Step-by-step explanation:
Both aren’t related But they do have some impact on eachother
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
A television cost $950, how much is a 7% tax?
Answer:
950x7%=66.5
950+66.5=1016.5 with tax
not sure but here you go
Answer:
is 66.5
?/950= 7/100 7x950=6650 6650 división by 100=66.5
Does anyone know which one is the right answer
Answer:
Number 2 is incorrect
Step-by-step explanation:
The correct answer would be line CA is congruent to line ZX
Is this graph and example of a sin or cos graph?
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?
========================================================
Explanation:
Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.
Let a = x, b = 18, c = 30.
Apply the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
x^2 + 18^2 = 30^2
x^2 + 324 = 900
x^2 = 900-324
x^2 = 576
x = sqrt(576)
x = 24
The top of the ladder reaches 24 feet high.
Rounded to three decimal places, what is the value of r for this data set?
Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20
Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981
3 cousins are named Jasmine and Kyra and Louisa.
Jasmine is 3 years younger than twice Kyra's age.
Louisa is 1 year older than a third of Jasmine's age.
Louisa is 4 years old.
How old is Jasmine?
How old is Kyra?
How did you solve this mystery?
another math problem.(after hr finished breakfist, Mr.Edwards left for work at fifteen minutes after seven What time is this?) btw use P.M. or A.M.
Answer:
7:15 AM
Step-by-step explanation:
Answer:
It's 7.15 A.M.
Step-by-step explanation:
You mentioned breakfast and people do go to work in the morning so it is A.M.
Hope this helps you
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36 jelly donuts is 200 percent of how
many jelly donuts?
Answer:
18
Step-by-step explanation:
Equation
2x=36
Solve
x=18
Answer:
720 jelly donuts
hope it helps pls mark brainliest
Kim’s bedroom is 13 feet long by 11 feet wide what is the area of her bedroom
Answer:
143
Step-by-step explanation:
multiply the 2 together
plz brainliest!
The area of her bedroom is 143 square feet.
What is area of rectangle?The area of rectangle is product of its length to its width.
i.e., Area of rectangle= length x width
Given:
length = 13 feet
width = 11 feet
so, Area of rectangle = length x width
= 13 x 11
= 143 square feet.
Hence, the area of her bedroom is 143 square feet.
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Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
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