In a smoothie the ratio of ounces of blueberries to ounces of yogurt is 4 to 5.
How many ounces of yogurt would be needed for a smoothie with 10 ounces of blueberries?
A
8 ounces
B
12 ounces
C
12.5 ounces
D
20 ounces
Answer:
12.5
Step-by-step explanation:
for people who don't get another quizzez assignment about ratios from their teachers, this question showed & the correct answer was 12.5 Hope this answer somehow helps.
Ounces of yogurt need for 10 ounces of blueberries is 8 ounce
Given that;Ratio of ounces of blueberries to ounces of yogurt = 4:5
Find:Ounces of yogurt need for 10 ounces of blueberries
Computation:Ounces of yogurt need for 10 ounces of blueberries = 10[4 / 5]
Ounces of yogurt need for 10 ounces of blueberries = 2[4]
Ounces of yogurt need for 10 ounces of blueberries = 8 ounce
So, Option "A" is the correct answer to the following question.
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Find the surface area of this triangular prism
Answer:
2384in²
Step-by-step explanation:
The two ends = 14 × 24 = 336in²
the two sides = 32 × 25 = 800in² × 2 = 1600²
bottom = 14 × 32 = 448in²
total = 2384in²
For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field.
Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows.
Cone W is located at (-38, -53).
Cone X is located at (-38, 53).
Cone Y is located at (38, 53).
Cone Z is located at (38, -53).
What is the perimeter of the field?
A.
38 yards
B.
364 yards
C.
8,056 yards
D.
182 yards
Answer:
Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30
Because he needs both small and large another answer is x>0 and not x 0
Finally because he need at least dozen large cones the last answer is y
Step-by-step explanation:
Considering the graph of a line with a negative slope, which of the following could be true? Check all that apply. U
A The line shifts up.
B. The line goes up from left to right.
C. As the absolute value of the negative slope gets bigger, the graph of the line gets less steep.
D. As the absolute value of the negative slope gets smaller, the graph of the line gets less steep.
E. The line goes down from left to right
The statements which are true for the graph of a line with negative slope are D and E.
Given a graph of a line with a negative slope.
We have to find the statements which are true for the graph with negative slope.
For a graph with negative slope, the line will be moving from up to down.
The line goes down from left to right.
So B is not true and E is true.
Also, if the slope gets bigger, the graph of the line will get steeper.
That is, as the absolute value of the negative slope gets smaller, the graph of the line gets less steep.
Hence the true statements are D and E.
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A letter from the word CONFIDENCE is chosen at random, then a card is drawn from a standard deck. What is the probability of getting a consonant, them a red card or ace.
Answer:
9/26
Step-by-step explanation:
Word : CONFIDENCE
Consonants in word : C, N, F, D, N, C = 6
Total alphabets = 10
Probability =required outcome /Total possible outcomes
Probability (consonants) = 6 /10 = 3/5
Number of red catds in deck = 26
Number of aces in a card deck = 4
Total number of cards = 52
P(red) or P(ace)
(4/52) + (26/52) = (4 + 26) / 52 = 30 / 52 = 15 / 26
P(getting a consonant, then a red card or ace)
(3 /5) * (15/26) = (3 * 15) / (26 *5) = 45/130 = 9/26
The monthly cost of a short term disability insurance policy varies directly as the salary of the employee. Wanda has an annual salary of $33,500, and the monthly cost for her policy is $16. 75. Randy has an annual salary of $45,500. What should Randy expect to pay for his policy
The monthly cost of a short-term disability insurance policy varies directly with the salary of the employee. Given that Wanda's monthly cost is $16.75 with an annual salary of $33,500, we can calculate Randy's expected monthly cost for his policy, knowing his annual salary is $45,500.
To determine Randy's expected monthly cost for his policy, we can use the concept of direct variation. Direct variation means that two variables are related in a way that can be represented by a constant ratio. In this case, the monthly cost and the salary are directly proportional.
We can set up a proportion using the given information:
(16.75 / 33,500) = (x / 45,500)
To solve for x, the monthly cost for Randy's policy, we can cross-multiply and solve for x:
16.75 * 45,500 = 33,500 * x
x = (16.75 * 45,500) / 33,500
Calculating this expression will give us Randy's expected monthly cost for his policy.
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1. How well do you work with fractions and decimals? (2 point)
I can explain how fractions and decimals are related. I can convert fractions to decimals and decimals to
fractions without needing help
I can usually convert fractions to decimals and decimals to fractions, but sometimes I make mistakes
I can sometimes convert fractions to decimals and decimals to fractions, but I need more practice with
this
I do not understand how fractions and decimals are related, or how to convert them.
Step-by-step explanation:
when you get a decimal like 0.02 and you want to express it in fraction,this is a simple trick.
first,put your pen at the point and move it forward till you end at the last number.
While you move the pen over each value, you will count the number of jumps and record the number of jumps in zeros i. e
2÷100 and it means that,the last 1or 3or 3whole numbers will become the numerator
What is another important math contribution fibonacci made.
Another important mathematical contribution made by Fibonacci (Leonardo of Pisa) is the introduction of the Hindu-Arabic numeral system and its adoption in Western mathematics.
During the 13th century, Fibonacci traveled extensively and encountered the numeral system used in India and the Arab world, which is based on the concept of place value. Recognizing its efficiency and advantages over the existing Roman numeral system, Fibonacci popularized the Hindu-Arabic numeral system in Europe through his influential book "Liber Abaci" (Book of Calculation) published in 1202.
The Hindu-Arabic numeral system, which includes the use of the digits 0-9 and the concept of positional notation, revolutionized arithmetic and made calculations much simpler and more efficient. It introduced the concept of using place value to represent numbers, allowing for complex calculations to be performed with ease. This numeral system formed the foundation of modern arithmetic and laid the groundwork for the development of algebra and other branches of mathematics.
Fibonacci's introduction and promotion of the Hindu-Arabic numeral system had a profound impact on mathematics, commerce, and scientific endeavors. It enabled advancements in fields such as astronomy, engineering, and finance, making complex calculations more accessible and accurate. Fibonacci's contribution played a crucial role in the development of mathematics and its practical applications, and it remains a significant part of our everyday numerical representation and calculation systems today.
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So a certain someone deposit money but the interest rate dropped from
\(3 \frac{3}{4} \: per \: annum \: to \: 3 \frac{1}{2} \: per \: annum\)
aND the interest rate has made his annum decrease by $50
Find the sum of money this person deposited
Answer:
$20000
Step-by-step explanation:
In 1st case,
Principal=?
Rate=15/4 per annum
Time= 1 year
Interest=?
I=PTR/100
I=(P*1*15/4)/100
I=15P/400
In 2nd case,
Principal=?
Rate=7/2 per annum
Time= 1 year
Interest=15P/400-50
Now,
I=PTR/100
15P/400-50=(P*1*7/2)/100
(15P-20000)/4=7P/2
(15P-20000)/2=7P
(15P-20000)=14P
15P-14P=20000
Therefore, The sum of money deposited was $20000.
Simplify (-5)^5/(-5)^-6
Answer:
-1/5 or -0.2
Step-by-step explanation:
Hope this helps you out
The number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:
A number expression:
= (-5)⁵/(-5)⁻⁶
As we know from the property of the integer exponent:
\(\rm = \dfrac{y^a}{y^b} = y{a-b}\)
y is the base and a, b are the exponent.
As the same base can be written as the sum of the power
In the given number expression there is the same base as -5
Exponent can be subtracted, after subtracting the powers:
= (-5)⁵⁻⁽⁻⁶⁾
= (-5)⁵⁺⁶
= -5¹¹
Thus, the number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.
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common denominator for 3/4 and 7/6
Answer:
12
Step-by-step explanation:
3/4 = 9/12
7/6 = 14/12
12 is a suitable common denominator for these fractions.
__
4 = 2·2
6 = 2·3
The common denominator must include all these factors (and no more than necessary), so must be ...
LCD = 2·2·3 = 12
an auto liability coverage has a policy limit of 100. claim sizes observed are 20, 45, 50, 80, 100, where the claim at 100 was for exactly 100. in addition, there are 2 claims above the limit. the data are fitted to an exponential distribution using maximum likelihood. determine the mean of the fitted distribution
The mean of the fitted exponential distribution is 66.67.
To find the mean of the fitted exponential distribution, we first need to estimate the parameter lambda using maximum likelihood estimation.
The probability density function of the exponential distribution is given by
f(x; lambda) = lambda * exp(-lambda * x)
where x is the claim size and lambda is the parameter to be estimated.
The likelihood function for the observed data is the product of the individual probabilities of each claim
L(lambda) = lambda^n * exp(-lambda * sum(x_i))
where n is the number of observed claims and x_i is the i-th claim size.
The log-likelihood function is given by:
ln L(lambda) = n * ln(lambda) - lambda * sum(x_i)
To estimate the parameter lambda, we need to maximize the log-likelihood function with respect to lambda:
d/d(lambda) ln L(lambda) = n/lambda - sum(x_i) = 0
Solving for lambda, we get
lambda = n / sum(x_i)
Substituting the observed values, we get
lambda = 6 / (20 + 45 + 50 + 80 + 100 + 2*100) = 0.015
Therefore, the estimated parameter of the fitted exponential distribution is lambda = 0.015.
The mean of the exponential distribution is given by
E(X) = 1/lambda
Substituting the estimated value of lambda, we get
E(X) = 1/0.015 = 66.67
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A certain sine function has a midline at y=3.
Which function rule could model this situation?
The function rule that could model this situation is f(x)=sin(x)+3. The correct answer is (c).
Understanding sine functionThe sine function is a mathematical function that describes a periodic oscillation. It is one of the basic trigonometric functions, along with cosine, tangent, cotangent, secant, and cosecant.
Let us relate this to our given question.
The midline of a sine function is the horizontal line that the graph oscillates around.
In this case, the midline is y=3, which means that the sine function oscillates between y=3+1=4 and y=3-1=2.
The function rule that could model this situation is c. f(x)=sin(x)+3, because adding 3 to the sine function shifts the midline up to y=3, and the sine function oscillates between y=4 and y=2.
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What is the solution set to the following inequality?
5|12−3r|>15
A. r<−5 or r>3
B. r< 3 or r>5
C. 3 < r <5
D. −22/3
Answer:
3<r <5
Step-by-step explanation:
Its easy i did this test and got it right
ABCD is a kite, So AC - DB and DE=EB Calculate the length of \overline{AC} AC to the nearest tenth of a centimeter.
Answer:
AC=9CM
Step-by-step explanation:
Since ABCD is a kite, we know that the two diagonals, AC and BD, intersect at right angles and that the two pairs of adjacent sides are congruent. Therefore, we have:
AC = BD and AB = BC = CD = DA
We also know that DE = EB, which means that triangle ADE is congruent to triangle BEC (by the side-side-side congruence rule), so we have:
AD = BC and AE = EC
AD=5cm and DC=4cm
Combining these equations, we have:
AC = AD + DC
AC=5cm+4cm=9cm
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
Which of the following statements for a simple graph is correct?a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation
Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.
In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.
Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.
Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.
Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.
Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.
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Write an equation for the description.
Two-Thirds a number x plus 3 is 5.
Answer:
2/3 x + 3 = 5
Step-by-step explanation:
I did this in math already, here you go. Hope it helps
A random sample of 27 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯ = 940 and the sample standard deviation is s = 15. Use Appendix D to find the values of Student's t.
Answer:
t value= 99%
Step-by-step explanation:
Need help with question 15! please!!! This is due 02/2/22 which is tmr please!
Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
\(\frac{21}{x+3} =\frac{7}{3}\)
Then, you cross multiply to get the equation:
\(63=7x+21\)
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
Need a helium tank for decorations for your post homecoming party. You can buy one from party city for $50 but you also need to purchase balloons which cost $.15 each. You want for bunches, so you buy 4 weights which cost $2 each. How many balloons can you afford if you budgeted $64 for decorations. Define a variable write an equation and solve.
Can someone pls help me with this word problem
Answer: 40 balloons
Step-by-step explanation:
x=number of balloons
2*4=8
x=(64-50-8)/0.15
x=6/0.15
x=40
please help me!!
what is the y-intercept, and slope of this equation:
y+3 = 3(x-7)
Answer:
slope is 3
y-intercept =-24
Step-by-step explanation:
solve for y
y+3=3(x-7)
y+3=3x-21
y=3x-21-3
y=3x-24
ı need help on this math assıgnment please on rationals
According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.
What is the correct classification for each number?A. 1: It is a real number because it can be plotted on the number line. It is rational because it can be expressed as a fraction (1/1). It is an integer, whole number, and natural number as well.B. 5.1: It is a real number and rational because it can be expressed as a terminating decimal (5.1 = 51/10).C. √(-142): It is a non-real number because the square root of a negative number is not defined in the real number system.D. π (Pi): It is an irrational number because it cannot be expressed as a finite or repeating decimal. It is a real number.E. 2/3: It is a rational number because it can be expressed as a fraction. It is a real number.F. ∛(-27): It is a non-real number because the cubic root of a negative number is not defined in the real number system.G. 0.671: It is a real number and rational because it can be expressed as a decimal.H. 3√7: It is an irrational number because the cube root of 7 cannot be expressed as a fraction or terminating decimal. It is a real number.I. 0: It is a real number and rational because it can be expressed as a fraction (0/1). It is an integer, whole number, and natural number as well.J. -√16: It is a real number and rational because the square root of 16 is 4.Learn more about numbers in: https://brainly.com/question/24908711
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An elevator has an alarm that goes off if the total weight in the elevator reaches 2000 pounds which inequality represents the weight, w, in pounds, that the elevator can hold without setting off the alarm? a. w < 2,000 b. w < 1900 c. w > 2000 d. w > 2000
Answer:
A
Step-by-step explanation:
w has to be lower so we would use
<
since 2000 has to be higher
W < 2000
a basketball player has a 0.682 probability of making a three-point shot. what is the probability that it takes the player 2 tries to make a three-point shot? (round your answer to three decimals if necessary.)
The probability that it takes the player 2 tries to make a three-point shot is approximately 0.217.
To find the probability that it takes player 2 tries to make a three-point shot, we can use the concept of geometric probability.
The probability of making a three-point shot on any single attempt is 0.682. Therefore, the probability of missing a shot on a single attempt is 1 - 0.682 = 0.318.
Since we are interested in the player making the shot on the second attempt, we need to consider the following sequence of events:
1. Missing the shot on the first attempt (probability of 0.318).
2. Making the shot on the second attempt (probability of 0.682).
To find the probability of these events occurring in sequence, we multiply their probabilities together:
0.318 * 0.682 = 0.217276
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6th grade math
5x - 2
Answer:
-10
Step-by-step explanation:
Answer: 3x
verry eazy just subtract and keep the x
change 40,008/10
to mixed fraction
Answer:
the answer should / would be :
4000 8/10
How many people surveyed did not choose a rainbow color (red, orange, yellow, green, blue, or purple) as their favorite
Students were surveyed about their favorite colors. 1/4 of the student preferred red, 1/8 of the students preferred blue, and 3/5 of the remaining students preferred greed, then 10 students surveyed did not choose a rainbow color as their favorite.
Let's use algebra to solve for the total number of students surveyed:
Let x be the total number of students surveyed.
Then, the number of students who preferred red is (1/4)x.
The number of students who preferred blue is (1/8)x.
The remaining students are (x - (1/4)x - (1/8)x) = (5/8)x.
Out of these remaining students, 3/5 preferred green, so we can set up the equation:
(3/5)(5/8)x = 15
Simplifying, we get:
(3/8)x = 15
Multiplying both sides by 8/3, we get:
x = 40
Therefore, there were 40 students surveyed in total. To find the number of students who did not choose a rainbow color as their favorite, we need to subtract the number of students who preferred red, blue, green, or purple from the total number of students:
Number of students who did not choose a rainbow color = x - (1/4)x - (1/8)x - 15 = 40 - 10 - 5 - 15 = 10
Therefore, 10 students surveyed did not choose a rainbow color as their favorite.
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refer to scenario 12.2. what will be the price of this new drink in the long run if the industry is a bertrand duopoly?group of answer choices$13.50$12$3$9
The price of the new drink in the long run, under a Bertrand duopoly, would be $9.
In a Bertrand duopoly, each firm sets its price based on the assumption that the competitor will match it. The firms engage in price competition, trying to undercut each other to gain a larger market share. Eventually, this competition drives prices down to the level of marginal cost.
Assuming both firms have the same marginal cost, they would set their prices equal to marginal cost to maximize their profits. In this scenario, the marginal cost is not provided, so we'll consider it as a constant value.
Let's assume the marginal cost is $6. Each firm wants to set a price lower than its competitor to attract more customers. Since the competitor's price is unknown, each firm will assume the worst-case scenario, where the competitor sets the price at its marginal cost of $6. To gain market share, each firm will set its price slightly below $6.
Let's assume Firm A sets its price at $5.99. Firm B, anticipating this, will set its price slightly lower. Assuming a minimal difference of $0.01, Firm B will set its price at $5.98. This process continues until both firms converge to the marginal cost.
In the long run, the price will stabilize at the marginal cost of $6. Therefore, the price of the new drink in the long run would be $6.
In a Bertrand duopoly, with the provided assumptions, the price of the new drink in the long run would be $6. This result is based on the assumption that both firms have the same marginal cost and engage in price competition, undercutting each other to gain market share.
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Use the definition man = lim f(a+h)-f(a) h h-0 b. Determine an equation of the tangent line at P. f(x)=2-8x²; P(0,2) = (Type an integer or a fraction.) a. man to find the slope of the line tangent to the graph off at P.
Given f(x) = 2 - 8x², find an equation of the tangent line at P(0,2).Using the definition man = lim (f(a+h)-f(a))/ h , h → 0b.
Determine an equation of the tangent line at PThe value of f(0) is:f(0) = 2 - 8(0)²
= 2
The slope of the tangent line at P is obtained by taking the limit of the difference quotient as h approaches zero.
man = lim (f(a+h)-f(a))/ h
= lim [f(0+h)-f(0)]/ h
= lim [(2-8h²) - 2]/ h
= lim (-8h²)/ h
= lim -8h
= 0
Therefore, the slope of the tangent line at P is equal to 0.
Using the point-slope form of a line, the equation of the tangent line at P is:y - 2 = 0(x - 0)y - 2
= 0y
= 2
Answer: The equation of the tangent line at P is y = 2.
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