Answer:
No. of Small Beverage = x = 10
No. of Large Beverage = y = 12
Step-by-step explanation:
Analyzing the given situation, we can form two algebraic equations.
Since, she has 100 lemons and 4 lemons are required for small beverage, while 5 lemons are required for large beverage. So, we can form the equation:
4x + 5y = 100 --------- eqn (1)
where,
x = No. of small beverages sold
y = No. of large beverages sold
Similarly, she has 180 table spoons of sugar and 6 table spoons are required for small beverage, while 10 table spoons are required for large beverage. So, we can form the equation:
6x + 10y = 180 -------- eqn (2)
From eqn (1):
x = (100 - 5y)/4 ------- eqn (3)
Substituting this value of x in eqn (2)
(6)(100 - 5y)/4 + 10y = 180
10 y - 7.5 y= 180 - 150
2.5 y = 30
y = 30/2.5
y = 12
Using this value of y in eqn (3)
x = [100 - (5)(12)]/4
x = 10
Therefore, in order to maximize the earnings the kid should sell following number of each beverage:
No. of Small Beverage = x = 10
No. of Large Beverage = y = 12
what is the equation to the following sentence?
Seven subtracted from two times a number is 13
Answer:
4x-7>13
add 7
4x>20
divide by 4
x>5
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x2 + 8x - 2 ?
(-4, 18)
(0, -2)
(-8, -2)
(-4, -18)
Answer: (-4,-18)
Step-by-step explanation: If you use desmos you can graph the equation to find the vertex.
The vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
What is the vertex of the graph of a quadratic function?In a quadratic function, the vertex of the graph refers to the highest or lowest possible outcome of the function. In a graph, the vertex is the highest or lowest point on the parabola,
Given that:
f(x) = x² + 8x - 2
where;
a = 1b = 8c = - 2By using the vertex formula to find the x-value;
[tex]\mathbf{x = \dfrac{-b}{2a}}[/tex]
[tex]\mathbf{x = \dfrac{-8}{2(1)}}[/tex]
x = -4
So,
y = (-4)² + 8(-4) - 2
y = 16 -32 -2
y = -18
Therefore, the vertex of the graph of function f(x) = x² + 8x - 2 is (-4, -18)
Learn more about the vertex of the graph function here:
https://brainly.com/question/1305555
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Which of these quadrilaterals are rectangles?
Answer:Parallelogram, rhombus ,square
Step-by-step explanation:
Easy 5th grade math help me :>
Answer:
52
Step-by-step explanation:
Answer:
it is 52
Step-by-step explanation:
each number been add 4
32+4=36
36+4=40
40+4=44
44+4=48
48+4=52
1a. Find the set of possible and actual zeros according to the rational root theorem using f(x)=3x^3+13x^2+16x+4
1b. Zeros Multiplicity Cross/Turn
|____|_________|_________|
|____|_________|_________|
c. End Behavior:
d. Y-int:
e. Graph.
2. Divide using synthetic Division: x^4-6x^2-2/x-2
3. Diving Using Long Division: 3x^3+5x^2+4x+1/3x+2
4. Using synthetic division and the remainder theorem to find P(c) if P(x)=4x^3+6x^2+4x+3 and c=-1
5. Use synthetic division and the given factor to completely factor each polynomial function and find the zeros: y=x^3+6x^2+3x-10;(x-1)
Factored Form:
Zeros:
Answer:.....
Step-by-step explanation:
......
Find x , the missing side length in the right triangle
What is the volume of a rectangular prism with the following dimensions?
h = 5 ft, w = 5 ft, l = 10 ft
20 ft 3
500 ft 3
250 ft 3
35 ft 3
Answer:
250
Step-by-step explanation:
V = LWH
5 * 5 * 10 = 250
The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams.
Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper. However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Below are the sodium measurements (in milligrams) from a sample of 20 Jupiter Bars:
88 93 99 104
98 103 96 99
111 90 108 98
101 112 104 102
105 101 95 104
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
a) Test whether the sample provides evidence at the 5% level of significance that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Answer:
We conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Step-by-step explanation:
We are given that there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.
Summary statistics:
n = 20
sample mean = 100.55
sample standard deviation = 6.304
Q = 97: median = 101: Q3 = 104
Let [tex]\mu[/tex] = average sodium content in all Jupiter Bars.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 96 milligrams {means that the average sodium content in all Jupiter Bars is equal to 96 milligrams}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 96 milligrams {means that the average sodium content in all Jupiter Bars is actually more than 96 milligrams}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean sodium content = 100.55
s = sample standard deviation = 6.304
n = sample of Jupiter bars = 20
So, the test statistics = [tex]\frac{100.55-96}{\frac{6.304}{\sqrt{20} } }[/tex] ~ [tex]t_1_9[/tex]
= 3.228
The value of t test statistics is 3.228.
Now, at 5% significance level the t table gives critical value of 1.729 at 19 degree of freedom for right-tailed test.
Since our test statistic is more than the critical value of t as 3.228 > 1.729, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.
Which of the following expressions could be used to find the sale price of an item that costs d dollars if it is on sale for 30% off?
Answer:
d-30%d
Step-by-step explanation:
Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46
Answer:
2j -20 ≤ 46
Step-by-step explanation:
"20 less than double the number Jason [hit]" can be represented by 2j-20.
We are told that 46 is no fewer than this value, so it is greater than or equal to this value:
46 ≥ 2j -20
2j -20 ≤ 46 . . . . . swapping sides to match answer choices
Answer:
2j -20 ≤ 46
Step-by-step explanation:
IL GIVE YOU BRAINLIST !! * have to get it right * The slope and y-intercept for a linear equation are given. Which graph matches this information?
Answer: either a or b
Step-by-step explanation:
Find the radius of Circle M, if the area of a sector is 36.07 cm^2 and the central angle of that sector is 58º. Round your answers to the hundredths place if necessary
Answer:
r = 5.97 cm
Step-by-step explanation:
The area of the sector is given by the following equation:
[tex]A = r*S = 2\pi*r^{2}*\frac{58}{360}[/tex]
Where:
r: is the radius
A: is the area
The radius is:
[tex]r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm[/tex]
Therefore, the radius of Circle M is 5.97 cm.
I hope it helps you!
It takes you 3/8 of a hour to walk 9/10 of a mile. How far can you walk in 2 hours?
Answer:
Velocity = distance / time
Velocity = (9/10) / (3/8)
Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour
Therefore, you could walk 4.8 miles in 2 hours.
Step-by-step explanation:
Answer:4.8 miles
Step-by-step explanation:
3/8 of an hour to walk 9/10 of a mile
2 hour to walk ____
Distance walked in 2hr=(2x9/10) ➗ 3/8
Distance walked in 2hr=18/10 ➗ 3/8
Distance walked in 2hr=18/10 x 8/3
Distance walked in 2hr=(18x8) ➗ (10x3)
Distance walked in 2hr=144 ➗ 30
Distance walked in 2hr=4.8 miles
Yuri's sister Karina is 12 years old. In the equation below, y represents Yuri's age in years.
12 - 3y-2
Which statement accurately relates their ages?
Yuri is 3 years younger than twice Karina's age.
Yuri is 2 years younger than triple Karina's age
Karina is 3 years younger than twice Yuri's age.
O Karina is 2 years younger than triple Yuri's age.
Answer:
Karina is 2 years younger than triple Yuri’s age
Step-by-step explanation:
two subtracted from 3 times yuri's age
Answer:
The correct option is D. Karina is 2 years younger than triple Yuri’s age.what type of function has a common rate of change
Answer:
linear
Step-by-step explanation:
A linear function has a constant rate of change.
_____
The word "common" is usually used to refer to a shared characteristic of two or more entities. It would not ordinarily be used to describe a characteristic of one function. We're not quite sure what you mean by "has a common rate of change."
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that [tex]P(B) = 0.1[/tex]
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that [tex]P(A|B) = 0.995[/tex]
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]
93.25% probability that they have taken this steroid
On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).
The graph of the equation y = 1
2
x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.
y = 7x + 2
y = 3x + 5
y = 2 minus StartFraction 7 Over 3 EndFraction x
y – 2 = 4x
3y = –9x – 6
The answer is 1, 3, and 4 (i guessed and got it right)
Answer:
A C D
Step-by-step explanation:
Answer: 1, 3, and 4
Step-by-step explanation:
convert the decimal 0.085to a percent
Answer:
8.5%
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
0.085
1: Ignore the 0 and take the numbers that is 85
2: Add a percent
3: Answer is 8.5%
Hope this helps.
Which rules give a repeating pattern that has a 4 as the 27th number?
Select all that apply.
A. 7. 4.
B. 7, 7, 4
C. 3, 4.6
D.7. 1.4
E. 5. 4.9
Answer:
i think the answer is b i think i am not sure if that is right but if it is wrong please tell me please :(
Step-by-step explanation:
According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced college degree, earns $90,761 per year, while a woman with an advanced college degree earns an average of $50,756 per year. Calculate the difference in earnings, over a 30-year career, for men vs women.
Answer:
The difference in earnings, over a 30-year career, for men vs women, is $1,200,150
Step-by-step explanation:
Per year.
The average man earns $90,761.
The average woman earns $50,756
So, per year, the difference is:
90,761 - 50,756 = 40,005
Over 30 years:
30*40,005 = 1,200,150
The difference in earnings, over a 30-year career, for men vs women, is $1,200,150
The difference in earnings, over a 30-year career, for men vs women, is $1,200,150.
Given that,
The average American man, with an advanced college degree, earns $90,761 per year, while a woman with an advanced college degree earns an average of $50,756 per year.Based on the above information, the calculation is as follows:
Per year difference is 90,761 - 50,756 = 40,005
Now for 30 years, it is 1,200,150
Therefore we can conclude that, the difference in earnings, over a 30-year career, for men vs women, is $1,200,150.
Learn more: brainly.com/question/16115373
profit 75% retail $350. what is cost at wholesale
Answer:
Step-by-step explanation:
350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\
What’s the correct answer for this?
Answer:
6 units
Step-by-step explanation:
We find the distance by subtracting the "ends"
=-4-2= -6 (ignoring the negative)
We get
=6
What is the length of AC?
Answer:
2.96
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case:
[tex]\cos 65=\dfrac{x}{7}[/tex]
[tex]x=7\cdot \cos 65\approx 2.96[/tex]
Hope this helps!
Find the greatest common factor of the
following monomials:
34c3 2c5
Answer:2c^2
Step-by-step explanation:
34c^3 and 2c^5
34c^3=2 x 16 x c x c^2
2c^5=2 x c^2 x c^3
Greatest common factor =2 x c^2
Greatest common factor =2c^2
Find the difference:
2
X+ 10
3
X+4.
-X+38
(x+10) (x+4)
-x-22
(x+ 10) (x+4)
1
6
HELP
Answer:I believe it’s B but I’m not sure
Step-by-step explanation:
What is the volume of this cone
Answer:
6ix9ines a snitch
Step-by-step explanation:
aka rat
What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?
Answer:113 cubic meter
Step-by-step explanation:
Diameter=6
Radius=r=6/2
Radius=r=3
π=3.14
Volume of sphere=4/3 x π x r x r x r
Volume of sphere=4/3 x 3.14 x 3 x 3 x 3
Volume of sphere=(4x3.14x3x3x3) ➗ 3
Volume of sphere=339.12 ➗ 3
Volume of sphere=113.04
Volume of sphere =113 cubic meter
A number increased by 12
Answer:
x+12
Step-by-step explanation:
X is the number
12 more
MORE
x+12
Plz help me find the area of this polygon
Answer:
It is 4
Step-by-step explanation: To find the area you multiply the numbers.
the area of square PQRS is ____ square units.
Answer:
25 square units
Step-by-step explanation:
[tex]area \: of \: square = {5}^{2} = 25 \: {units}^{2} [/tex]
Answer: The first one is 5 and the next one is 25
Step-by-step explanation: Hope this helps and have a great day!
