3) Sabina has a box containing bottles of juice. The three flavorsare
orange, mango and apple. The ratio of these flavor’sis 3 : 5 : 4 There are 35
bottles of mango juice. How many bottles are there altogether?
A )12 B) 28 C) 49 D) 84
Answer:
D
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 + 4 = 12 parts
Mango has 5 parts and there are 35 bottles of mango , so
35 ÷ 5 = 7 ← value of 1 part of the ratio
In total there are 12 parts, then
total bottles = 12 × 7 = 84 → D
Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS? ∠RSC ∠SRE ∠DQS ∠QSR
angle has a measure equal to the sum of the the question is ∠DQS.
According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.
Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.
Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.
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please help me :( If you traveled 6,000,000,000 miles into outer space, you would be about one-fourth of the way to Venus. Write this measurement in scientific notation.
A. 6 x 106 miles
B. 60 x 106 miles
C. 6 x 109 miles
D. 60 x 109 miles
The given measurement in scientific notation as \(6\times10^9\). Therefore, option D is the correct answer.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as \(1.56\times10^7\).
The given distance is 6,000,000,000 miles.
There are 9 zeros in the given number
So, scientific notation is \(6\times10^9\)
Therefore, the number in scientific notation is \(6\times10^9\).
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What is -x-y=5 in function form solving for y
Answer:
f(x) = - x - 5
Step-by-step explanation:
- x - y = 5 ( multiply through by - 1 )
x + y = - 5 ( subtract x from both sides )
y = - x - 5 , that is
f(x) = - x - 5
For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
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You want to get a pet but don't have a lot of money. You decide to compare the average yearly cost of owning a dog to the average yearly cost of owning a cat by assuming they have equal variance. You go to the dog park one Saturday and ask 46 dog owners how much per year they spend on their dog. The next Saturday you start next door and go to every house on your street until you collect a sample of 32 cat owners and ask them how much per year they spend on their cat. Your data for dogs is Xdog = $1,106, Sdog = $150. Your data for cats is Xcat = $971, Scat = $187. Find a 92% confidence interval for the average difference between owning a dog and a cat. Round to 2 decimals 64.40247 X 205.5975 X)
The 92% confidence interval for the average difference between owning a dog and a cat is $64.40 to $205.60.
To find the confidence interval for the difference in means, we need to use a two-sample t-test. Using the given information, we can calculate the standard error of the difference in means as:
SE = sqrt[(Sdog^2/n1) + (Scat^2/n2)]
= sqrt[(150^2/46) + (187^2/32)]
= 34.33
Next, we can calculate the t-value for a 92% confidence interval with degrees of freedom equal to the smaller sample size minus one (df = 31):
t = t_(0.04/2, 31) = ± 1.998
Finally, we can calculate the confidence interval for the difference in means as:
(Xdog - Xcat) ± (t * SE)
= (1106 - 971) ± (1.998 * 34.33)
= $64.40 to $205.60
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what is X when y= 9 and the equation is -3x+45
Answer:
12
Step-by-step explanation:
I think I haven't learned this yet If I did I forgot but sorry if wrong
The way an individual perceives stimuli and the general manner in which he or she responds to it is a __________-_______ style
Answer:
decision-making
Step-by-step explanation:
what is the common denominator for 2/5,2/4,2/3?????
Answer:
60
good luck!
-3x + 2(x - 1) = 9x + 4
Answer:
x = -0.6
Step-by-step explanation:
-3x+2(x-1)=9x+4
1. -3x+2x-2=9x+4
2. -x-2=9x+4
3. -2=10x+4
4. -6=10x
5. -0.6=x
Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =
Answer:
y = 2x + 2
BRAINLIEST, PLEASE!
Step-by-step explanation:
(-2, -2) (-1, 0)
y = mx + b (m = slope, b = y-intercept)
m = rise/run = change in y / change in x
change in y: +2
change in x: + 1
change in y/change in x = 2/1 = 2
m = 2, y = 2x + b
We can plug -1 in for x, and 0 in for y.
0 = 2(-1) + b
0 = -2 + b
b = 2
y = 2x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
V = πr²h = π · 8²· 28≈ 5629.73404 Rounded to 5629.73
Step-by-step explanation:
It does say "which of the following is the best approximation of the volume"
Its might be weird but I would go with b 5626.9 m³.
Hope this helps! <3
Answer:
5626.88 square meters
Step-by-step explanation:
Hye there!
The formula for the area of a cylinder is:
\(A = \pi *r^{2} *h\)
Where r is the radius and h is the height
Now we input the values into the equation and solve
\(A=3.14*8^2*28\\3.14*64*28\\5626.88\)
So the area of this cylinder is 5626.88 square meters
help plsss; what is the inverse of f(x) = 5x - 1
Answer:
f^-1(x) = 1/5x + 1/5
Step-by-step explanation:
Switch the x and y values:
y = 5x - 1
x = 5y - 1
Put the equation back into y = form:
x = 5y - 1
x + 1 = 5y
1/5x + 1/5 = y
y = 1/5x + 1/5
f^-1(x) = 1/5x + 1/5
Answer: y = \(\frac{x+1}{5}\)
Step-by-step explanation:
I find it helpful if I change f(x) into y.
y = 5x - 1
Then, switch x and y
x = 5y - 1
Solve normally for y in terms of x
x+1 = 5y
\(\frac{x+1}{5}\) = y
So, the inverse is y = \(\frac{x+1}{5}\)
Hope it helps, please mark as brainliest! Thanks!
A news site offers a subscription that costs $28.50 for 6 months. What is the
unit price per month? Show your work.
Answer:
The correct answer is $4.75/month.
Step-by-step explanation:
To find the unit price per month, or the amount that of the subscription that will be paid each month, we must divide the total price ($28.50) by the number of months covered (6 months).
$28.50/6 = $4.75
Therefore, the unit price per month is $4.75/month.
Hope this helps!
Deductive reasoning uses all of the following to draw logical conclusions except:
A.) Rules
B.) Laws
C.) Patterns
D.) Facts
Answer:
Patterns
Step-by-step explanation:
Deductive reasoning is used to prove conjectures to be true
Answer:
patterns
Step-by-step explanation:
Deductive reasoning is a simple form of arriving at a conclusion by joining two or more pieces of information. Deductive reasoning is used to prove conjectures to be true.
g(t) = 2t; Find g(6)
please help i will give you brainliest!!!!!
Answer:
a:5400
b:5400
Step-by-step explanation:
if you take 3 and multiply it by 30 then add 60 then it equals 5400
what is the solution of the system? use the elimination method. {4x 2y=182x 3y=15 enter your answer in the boxes.
The solution of the system is x = 4 and y = 1.
To solve the system of equations using the elimination method, we can eliminate one variable by adding or subtracting the equations.
In this case, we can eliminate the variable "x" by multiplying the first equation by -2 and adding it to the second equation.
1. Multiply the first equation by -2:
-8x - 4y = -36
2. Add the modified first equation to the second equation:
-8x - 4y + 2x + 3y = -36 + 15
Simplifying the equation gives:
-6x - y = -21
3. Solve the new equation for one variable. Let's solve for y:
-y = -21 + 6x
y = 21 - 6x
4. Substitute the value of y into one of the original equations. Let's use the first equation:
4x + 2(21 - 6x) = 18
Simplifying the equation gives:
4x + 42 - 12x = 18
-8x = -24
x = 3
5. Substitute the value of x back into the equation for y:
y = 21 - 6(3)
y = 21 - 18
y = 3
Therefore, the solution to the system of equations is x = 3 and y = 3.
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Need help ASAP will give brainly if correct
Answer:
C is not a function because the x value 2 corresponds to two numbers
Step-by-step explanation:
Please Brainliest!!!!
A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)______ .
The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)______ .
The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.
How to illustrate the information?It should be noted that the expected value will be:
1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]
= 1(0.5) + 2(0.3333) + 3(0.1667)
= 1.6667
Var(X) = E(X²) - E(X)2
= 3.3335 & (1.6667)²
= 0.555611
The standard error will be:
= ✓0.555611
= 0.7454
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FUNCTIONS HELP ASAP!!!!
Answer:
(8,3)
Step-by-step explanation:
f(8) = 3
The input is 8 and the output is 3
(8,3)
helpppppp this is all do by tonight
What is the answer to this?
Answer:
-8
Step-by-step explanation:
\(\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}\)
Answer:
-8
Step-by-step explanation:
Madeline was out at a restaurant for dinner when the bill came. Her dinner came to $13. After adding in a tip, before tax, she paid $15.34. Find the percent tip.
Answer:0.351
Step-by-step explanation:
Find two consecutive odd integers whose product is 195.
The answer is -13 and -15.
Write each ratio or rate in simplest form.
15 to 20
When we simplify the ratio 15 to 20, we find that it is equivalent to the simplified ratio of 3 to 4.
To simplify a ratio, we need to find the greatest common divisor (GCD) of the two numbers and divide both the numerator and denominator by this common factor. The GCD is the largest number that evenly divides both numbers. In this case, we have the ratio 15 to 20, which can be written as 15/20.
To find the GCD of 15 and 20, we can list the factors of both numbers and identify the largest common factor. The factors of 15 are 1, 3, 5, and 15, while the factors of 20 are 1, 2, 4, 5, 10, and 20. By examining the factors, we can see that the largest common factor is 5.
Now, we divide both the numerator and denominator of the ratio 15/20 by 5:
15 ÷ 5 = 3
20 ÷ 5 = 4
Therefore, the simplified form of the ratio 15 to 20 is 3 to 4. This means that for every 3 units of the first quantity, there are 4 units of the second quantity.
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solve the equation m-n=4p for m.
Answer:
You just need to move m in the first part of the equation, changing the signs when necessary.
M=4p +n
N becomes positive because it has been moved
Pls mark as brainliest
Answer:
m=4p+n
Step-by-step explanation:
My little sister needs help.
Answer:
Each section of the bar is equal to 3 because the first digit on the top of the bar times 3 is equal to the bottom number.
May I have brainliest please? :)
What statements are true?
Answer:
A. The number 81 is a rational number.
B. 11.7 is irrational
C. 3 is irrational
E. 17.35 is rational
Step-by-step explanation: A rational number is a number that can be expressed as a fraction where the numerator is a whole number (integer) and the denominator is a whole number (integer).
The number 81 is a rational number. We know this because it is possible to obtain the rational number 81 by dividing the integer 81 by the integer 1.
2/5 and 2/3 are rational numbers. Irrational numbers have an infinite number of digits to the right of the decimal point, without repetition.
The square root of 3 is irrational. It cannot be simplified further in its radical form and hence it is considered as a surd.