Answer:
First backpacker should receive $4 and the second one $2
Step-by-step explanation:
notice that the total amount of rice for the three is 600 g.
Then, the first one that gave 400 g contributed 400 out of 600, that is 400/600 = 2/3
The second one contributed 200 out of 600, that is 200/600 = 1/3
then the first one should receive 2/3 of the $6 = (2/3) x 6 = $4
and the second one should receive 1/3 of the %6 = (1/3) x 6 = $2
An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 80 of these tires, the braking distance has a mean of 77 and a standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
Answer:
The calculated value t = 3.032 > 1.9904 at 5% level of significance
Step-by-step explanation:
Step(i):-
Given mean of the population 'μ'=75 feet
Given mean of the sample(x⁻) = 77
Given standard deviation of the sample(S) = 5.9
Given sample size 'n' =80
Step(ii):-
Test statistic
[tex]t=\frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t=\frac{77-75}{\frac{5.9}{\sqrt{80} } }[/tex]
t = 3.032
Degrees of freedom ν=n-1 = 80-1 =79
tabulated value = 1.9904 at 5% level of significance
The calculated value t = 3.032
Final answer:-
The calculated value t = 3.032 > 1.9904 at 5% level of significance
The sale price of a spring break vacation package was $209.99 the travel agent said by booking early you saved $20.00. Find the percent decrease in price
Answer:
[tex]\%\ decrease = 9.52\%[/tex]
Step-by-step explanation:
Given
[tex]Sales\ Price = \$209.99[/tex]
[tex]Saved = \$20.00[/tex]
Required
Determine the %decrease
First, we need to determine the amount paid
[tex]Amount = Sales\ Price - Amount\ Saved[/tex]
[tex]Amount = \$209.99 - \$20.00[/tex]
[tex]Amount = \$189.99[/tex]
The percentage decrease is the calculated as follows:
[tex]\%\ decrease = -100\% * \frac{Final - Initial}{Initial}[/tex]
In this case;
[tex]Initial = Sales\ Price = \$209.99[/tex]
[tex]Final = Amount\ Paid = \$189.99[/tex]
So; we have:
[tex]\%\ decrease = -100\% * \frac{189.99 - 209.99}{209.99}[/tex]
[tex]\%\ decrease = -100\% * \frac{-20}{209.99}[/tex]
[tex]\%\ decrease = 100\% * \frac{20}{209.99}[/tex]
[tex]\%\ decrease = \frac{2000\%}{209.99}[/tex]
[tex]\%\ decrease = 9.52426306015\%[/tex]
[tex]\%\ decrease = 9.52\%[/tex] (Approximated)
Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581, what were the sales (in $) last month?
Answer:
Step-by-step explanation:
(103,581) • (%110)
= (103,581) • (1.10)
= $113,939.1
The sales (in $) last month were $115,090 if the sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581.
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Let suppose x be the sales last month:
(x - 103581)/x = 0.1
x - 103581 = 0.1x
x - 0.1x = 103581
0.9x = 103581
x = 103581/0.9
x = $115,090
Thus, the sales (in $) last month were $115,090 if the sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581.
Learn more about the percentage here:
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Please helps What is the base and the exponent of [tex]7^4[/tex]
Answer:
Base: [tex]7[/tex]
Exponent: [tex]4[/tex]
Step-by-step explanation:
What is the base and the exponent of [tex]7^4[/tex]?
If you want to know the base, you will have to look at the whole number. The whole number is 7. So that means the base is 7. The number on top of the whole number(exponent) is gonna be the exponent. The number 4 is on the exponent. So in that case, the number 4 is the exponent. So the base is 7 and the exponent is 4.
Hope this helps!
Answer:
Base(7)
Exponent(4)
Step-by-step explanation:
A base is always the whole number. In this exponent, the whole number you see is 7. So that means 7 is the base number. The exponent is the small number you see on top of the whole number(base). The exponent on top of the whole number is 4. So the base number is 7 and the exponent is 4.
Hope this helped you a lot!
can someone pleaseee help me
Answer
13/4
Step-by-step explanation:
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of 0.6 years. The 4% of items with the shortest lifespan will last less than how many years?
Answer:
7.35 years
Step-by-step explanation:
Given that :
mean = 8.4
standard deviation = 0.6
From the negative z tables, the corresponding data for 0.04 = -1.75
So, using the z-score formula:
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]-1.75 = \dfrac{x - 8.4}{0.6}[/tex]
-1.75 × 0.6 = x - 8.4
- 1.05 = x - 8.4
x = -1.05 + 8.4
x = 7.35 years
the shortest lifespan will last less than 7.35 years
∴ the longest 4% will have lifespans longer than x = 8.4 + 1.75(0.6)
= 9.45 years
what is an algebraic word phrase for 49 + M
Answer:
slader
Step-by-step explanation:
John is walking around a circular track with a radius of 50 ft. If he walks the equivalent of 140 degrees, find the total distance he has walked around the track to the nearest Foot.
Answer: 122 ft
Step-by-step explanation:
s = r Ф (Ф must be in radians)
Given: r = 50
Ф = 140°
[tex]\dfrac{\pi}{180^o}=\dfrac{x}{140^o}[/tex]
[tex]\dfrac{140^o\pi}{180^o}=x[/tex]
[tex]\dfrac{7\pi}{9}=x[/tex]
[tex]s=50\bigg(\dfrac{7\pi}{9}\bigg)\\\\\\.\quad =\dfrac{350\pi}{9}\\\\\\.\quad =122\ ft[/tex]
Is sqrt -5 rational, irrational or imaginary?
Answer:
Imaginary
Step-by-step explanation:
[tex] \sqrt{ - 5} \: is \: imaginary[/tex]
42 ÷ [15 − (3 + 5)]
help me on this tricky problem
Answer:
6
Step-by-step explanation:
42 / [15 - (3 + 5)]
42 / [15 - 8]
42 / 7
Answer: 6
Solve for the specified variable.
(c+d)
Solve Q=
for d.
2
Answer:
2Q -c = d
Step-by-step explanation:
Q= ( c+d)/2
Multiply each side by 2
2Q = ( c+d)/2 *2
2Q = ( c+d)
Subtract c from each side
2Q - c = c+d-c
2Q -c = d
Steps to solve:
Q = (c+d)/2
~Simplify
Q = 1/2c + 1/2d
~Subtract 1/2c to both sides
Q - 1/2c = 1/2d
~Divide 1/2 to both sides
d = 2q - c
Best of Luck!
There are a total of 55 people at a birthday party. There are three times as many kids at the party as parents, and there are five fewer grandparents than parents. Use the guess and check method to find out how many kids are at the birthday party?
Answer:
165
Step-by-step explanation:
Answer:
27
Answer:
Answer:
Si se reduce en 5 unidades de mil el número 23 657, ¿cuál número se obtiene? a) 23 607 b) 18 657 c) 23 157 d) 23 652
Answer:
a 23 607
Step-by-step explanation:
In the quadrilateral,all the sides are equal,but diagonals are not equal is called?
Answer:
I think it would be a rhombus.
ion 1(Multiple Choice Worth 2 points)
Find the area of the triangle with the given measurements. Round the solution
B = 107°, a = 10 cm, c = 22 cm
O 32.16 cm2
O 110 cm2
O 105.19 cm2
210.39 cm2
Answer:
105.19.
Step-by-step explanation:
Area = 1/2 ac sin B
= 1/2 * 10 * 22 * sin 107
= 105.19..
I will give the brainiest
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many
individual socks of each color does he have?
black socks
white socks
Answers:
36 individual black socks
38 individual white socks
Check: 36+38 = 74 total individual socks
====================================================
Work Shown:
b = number of pairs of black socks
w = number of pairs of white socks
w = b+1 since he has 1 more pair of white socks compared to black socks
2b = number of individual black socks
2w = number of individual white socks
2b+2w = total number of individual socks
2b+2w = 74
2b+2(b+1) = 74 .... plug in w = b+1
2b+2b+2 = 74 ... distribute
4b+2 = 74
4b = 74-2 .... subtracting 2 from both sides
4b = 72
b = 72/4 ... dividing both sides by 4
b = 18 is the number of pairs of black socks he has
2b = 2*18 = 36 is the number of individual black socks he has
w = b+1 = 18+1 = 19 is the number of pairs of white socks he has
2w = 2*19 = 38 is the number of individual white socks he has
2b+2w = 36+38 = 74 individual socks overall
Find the points of intersection (if any) of the graphs of the equations. Use a graphing utility to check your results. y = - x + 4, y = 4x - 2
Answer:
[tex]x = 1.2[/tex]
See Attachment for Graph
Step-by-step explanation:
Given
[tex]y = -x + 4[/tex]
[tex]y = 4x - 2[/tex]
Required
Determine the point of intersection
To do this, we simply equate both expressions of y
i.e.
[tex]-x + 4 = 4x - 2[/tex]
Solve for x
[tex]-x - 4x = - 2 - 4[/tex]
[tex]-5x = -6[/tex]
Divide through by -5
[tex]x = \frac{-6}{-5}[/tex]
[tex]x = \frac{6}{5}[/tex]
[tex]x = 1.2[/tex]
Hence, the point of intersection is 1.2
A set contains five consecutive even integers . The least even integer in the 5 points set has a value of 14. Write all the elements of the set.
Answer:
14, 16, 18, 20, 22
Step-by-step explanation:
14 is the smallest of 5 consecutive integers.
The next larger even integer is 16, then 18, then 20, then 22.
Answer: 14, 16, 18, 20, 22
The temperature inside the lab refrigerator is at most 35 Fahrenheit used to represent the temperature in fahrenheit of the refrigerator
Complete question is;
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 45 °F. Use t to represent the temperature (in °F) of the refrigerator.
Answer:
t ≤ 45 °F
Step-by-step explanation:
We are told to use t to represent the temperature (in °F) of the refrigerator.
We are also told that the temperature inside the lab refrigerator is no more than 45 °F.
For the temperature inside the refrigerator to be no more than 45 °F, it means the temperature should be either less than or equal to 45 °F
Thus means that t is less than or equal to 45 °F.
Thus, it can be represented in terms of inequality as;
t ≤ 45 °F
Answer:
t ≤ 35
Step-by-step explanation:
I took the test, it was right! :)
What's 10+10-5+10+5
Answer:
the answer is 30
Step-by-step explanation:
10+10=20-5=15+10=25+5=30
Answer:
30!
Step-by-step explanation:
Carissa counts by 5s from 32 to 62. Which number does carissa count?
Answer:
32, 37, 42, 47, 52, 57, 62.
Step-by-step explanation:
It is given that Carissa counts by 5s from 32 to 62.
It means, we have to add 5 in the number to get the next number.
Add 5 in 32.
[tex]32+5=37[/tex]
Now, add 5 in 37.
[tex]37+5=42[/tex]
Similarly, continue the process.
[tex]42+5=47[/tex]
[tex]47+5=52[/tex]
[tex]52+5=57[/tex]
[tex]57+5=62[/tex]
Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.
Answer:
It is 47
Step-by-step explanation:
Gabriella and her children went into a grocery store and where they sell apples for $1 each and mangos for $0.50 each. Gabriella has $15 to spend and must buy at least 19 apples and mangos altogether. If Gabriella decided to buy 13 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Answer:
She can buy a maximum of 8 apples.
Step-by-step explanation:
Let x represent the number of apples that she wants to buy.
The grocery store sells apples for $1 each and mangos for $0.50 each.
If Gabriella decided to buy 13 mangos, it means that the cost of buying x apples and 13 mangoes is expressed as
x + 13 × 0.5 = x + 6.5
If she buy at least 19 apples, it means that
x + 13 ≥ 19
x ≥ 19 - 13
x ≥ 6
Gabriella has $15 to spend. It means that
x + 6.5 ≤ 15
x ≤ 15 - 6.5
x ≤ 8.5
Therefore, the maximum number of apples that she can buy is 8
Answer:She would only be able to buy 8 more apples
Step-by-step explanation:
First you multiply 13 by .50 and you get 6.50
Next you subtract 6.50 from 15 and get 8.50
After that you see 1 dollar per apple so she can only get 8 apples for 8 dollars.
Therefore, she can only buy 8 more apples.
Extra:She can buy an extra mango with the leftover .50cent
the sum of three numbers is 116. The first number is 6 more than the third. The second number is 3 times the third. What are the numbers?NEED DONE ASAP
Answer:
107
Step-by-step explanation:
sum means addition so 3 + 6 = 9 116 - 9 = 107 hope it helps <3
What is the slope of the line represented by the equation y = - 1/2x + 1/4
Answer:
The slope is -1/2
Step-by-step explanation:
-1/2 is a negative slope. Down 1 to the right 2
Out of 270 racers who started the marathon, 247 completed the race, 14 gave up, and 9 were disqualified. What percentage did not complete the marathon?
Answer:
8.5%
Step-by-step explanation:
Total number of racers = 270
From the question, we have two categories who did not complete the race.
a. 14 that gave up
b. 9 that were disqualified
Total number of those who didn't complete race = 14 +9 = 23
To get the percentage of this group in the marathon:
= (23/270)*100
= 0.0851 *100
= 8.5percent
what is the value of the expression below when y=5? y^2-3y+6
Answer:
y = 5
y^2 - 3y + 6
= 5^2 - 3(5) + 6
= 25 - 15 + 6
= 10 + 6
= 16
what is the solution to this system of equations?
x-2y=15
2x + 4y=-18
Answer:
x = 3; y = -6
Step-by-step explanation:
x - 2y = 15
2x + 4y = -18
Multiply both sides of the first equation by 2. Write the second equation below it, and add the two equations.
2x - 4y = 30
(+) 2x + 4y = -18
---------------------------
4x = 12
4x/4 = 12/4
x = 3
Now we substitute 3 for x in the first equation and solve for y.
x - 2y = 15
3 - 2y = 15
-2y = 12
y = -6
Answer: x = 3; y = -6
Is 0.485 greater than 0.5
Answer:
no
Step-by-step explanation:
Answer:
No 0.485 is less than 0.5
0.485 < 0.50
please answer thank you!
Answer:
Maya messed up on Step 1, David messed up on Step 2
Step-by-step explanation:
Maya:
Step 1 should distribute to 5x - 15 = 12
David:
Step 2 should be 3x - 2x = -2 - 3 after you combine like terms
The art teacher has 36 small sticks and 60 pipe cleaners for art projects. He wants to make kits for all the students using all the sticks and pipe cleaners. All the kits must be alike. He wants to make as many kits as possible. What is the greatest number of kits he can make.
A) 8 kits
B) 9 kits
C) 12 kits
D) 36 kits
Answer:
The greatest number of kits he can make is 12 kits
Step-by-step explanation:
The greatest common divisor or GCD is called the greatest number that divides exactly two or more numbers at the same time.
The greatest common divisor is usually expressed as GCD(a,b), where a and b are numbers.
Being the divisor of a number is the value that divides the number into exact parts, that is, that the remainder is zero, one way to calculate the GCD is to determine all the divisors of each number, and from these point out the common divisors, of which the major divisor will be the GCD of those numbers. In this case:
Divisors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Divisors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The common divisors of 36 and 60 are 1, 2, 3, 4, 6 and 12, of which the greatest is 12. So GCD(36,60)=12
Another way to calculate the GCD is through prime factorization, which always starts with the smallest divisible number of the number being analyzed. In this case:
The decomposition of 36 is: 2*2*3*3 = 2²*3²
The decomposition of 60 is: 2*2*3*5= 2²*3*5
Now the common factors with the lowest exponent are chosen and multiplied. The result obtained is the GCD. In this case, the common factors of 36 and 60 are: 2² and 3 and their multiplication gives: 2²*3= 12. So GCD(36,60)=12
The greatest number of kits he can make is 12 kits