Answer: 4 gallons require 5 5/39 spoons of syrup
Step-by-step explanation:
Given it takes 3 2/6 spoons to make 2 3/5 gallons of chocolate milk
i.e. 20/6 spoons make up 13/5 gallons of milk
⇒1 gallon require 20/6/13/5 spoons of milk
⇒ 20 x 5/6 x 13 spoons of milk
⇒ 100/78 spoons of milk
Therefore 4 gallons require 4 x 100/78 spoons
⇒ 400/78 spoons
⇒ 200/39 spoons
⇒ 5 5/39 spoons
Answer:
5 5/6 spoons
Step-by-step explanation:
We can use ratios to solve
3 1/2 spoons x spoons
-------------- = ------------------
3 3/5 gallons 6 gallons
Using cross products
3 1/2 *6 = 3 3/5x
Changing to an improper fraction
7/2*6= 18/5*x
21 = 18/5x
Multiply by 5/18
21 * 5/18 = 18/5 x*5/18
21/18 *5 =x
7/6 *5 =x
35/6=x
Changing to a mixed number
5 5/6 spoons
Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show you how to answer a similar question.
We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.
From the image attached, we can see the lengths of the sides, hence we can find the values of x.
[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]
2x+b=w,for x i need to know what this answer is
Answer:
Let's take this step by step:
2x+b=w
2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)
2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)
2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)
x=w-b/2
Step-by-step explanation:
I will give BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.
Answer:
Explained below.
Step-by-step explanation:
Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
The probability of X is, p = 0.75.
A random sample of n = 5 trucks are observed on this stretch of I-77.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.
(a)
Compute the mean as follows:
[tex]\mu=n\times p=5\times 0.75=3.75[/tex]
The mean of this probability distribution is 3.75.
(b)
The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
(c)
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]
Thus, the standard deviation of this probability distribution is 0.97.
(d)
Compute the probability that exactly 3 of the observed trucks are speeding as follows:
[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]
Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.
(e)
Compute the probability that less than 3 of the observed trucks are speeding as follows:
[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]
Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
simon makes 30 cakes he gives 1/5 of the cakes to sali he gives 10% of the 30 cakes to jane what fraction of the 30 cakes does he have left?
Answer:
7/10
Step-by-step explanation:
1/5=6
10%=3
30-6-3
21
21/30=7/10
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
Which of the following is the best deal per candy bar?
Question 12 options:
5 candy bars for $4.00
4 candy bars for $2.80
10 candy bars for $7.20
2 candy bars for $1.50
QUICKLY PLZZZ
Answer:
the best deal is 4 candy bars for $2.80
Step-by-step explanation:
4/5= 80 cents
2.8/4= 70 cents
7.2/10= 72 cents
1.5/2= 75 cents
the best deal is 4 candy bars for $2.80
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
two plus two plus four??
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, squared, minus, 36 has a known factor of (x+3)(x+3)left parenthesis, x, plus, 3, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p(x)=
Answer:
(x-2)(x+3)(x+6)
Step-by-step explanation:
Given the polynomial function p(x)=x^3+7x^2-36
We are to write it as a product of its linear factor
Assuming the value of x that will make the polynomial p(x) to be zero
Let x = 2
P(2) = 2³+7(2)²-36
P(2) = 8+7(4)-36
P(2) = 8+28-36
P(2) = 0
Since p(2) = 0 hence x-2 is one of the linear factors
Also assume x = -3
P(-3) = (-3)³+7(-3)²-36
P(-3) = -27+7(9)-36
P(-3) = -27+63-36
P(-3) = 36-36
P(-3) = 0
Since p(-3) = 0, hence x+3 is also a factor
The two linear pair are (x-2)(x+3)
(x-2)(x+3) = x²+3x-2x-6
(x-2)(x+3) = x²+x-6
To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.
x^3+7x^2-36/x²+x-6 = x+6
Hence the third linear factor is x+6
x^3+7x^2-36 = (x-2)(x+3)(x+6)
Answer:
x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)
Step-by-step explanation:
Here we want to rewrite the polynomial
P(x) = x^3 + 7x^2 - 36
As a product of linear factors given that we have one of the roots already as (x + 3)
What we shall do here is to divide the polynomial by x + 3
Please check attachment for long polynomial division
From the division, the other factor is x^2 + 4x -12
So we can rewrite the polynomial as;
x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)
So let’s now write x^2 + 4x -12 as a product of its linear factors
x^2 + 4x -12 = x^2 + 6x -2x -12
= x(x + 6)-2(x + 6)
so we have;
(x -2)(x + 6)
Therefore;
x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)
the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches
Answer:
Step-by-step explanation:
2m=-6n-5
Solve for M
m= -3n -5/2
What is mathematical equation?
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.
In the given equation,
2m = −6n −5
Divide by 2 on both sides, we get
2m/2 = −6n/2 −5/2
m = -3n - 5/2
Therefore, our value of m is in terms of n, which is -3n - 5/2
Read more about mathematical equation here:
https://brainly.in/question/14933717
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Are the ratios equivalent? 2/3 and 8/12 Explain.
Answer:
Yes.
Step-by-step explanation:
2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.
If two ratios are equal then the ratios are said to be in proportion and equivalent.
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
What is a ratio?The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.
We have,
Two ratios:
2/3 and 8/12
We will make the ratios in their simplest form:
2/3 is in the simplest form.
8/12 = 4x2/4x3 = 2/3 is the simplest form.
We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.
Thus,
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
Learn more about ratios here:
https://brainly.com/question/2462048
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One of the angles formed by two intersecting lines measures 30°. What are the measures of the other three angles? i need help ASAP
Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
Answer:
30, 150, 150
Step-by-step explanation:
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer: B 4,5
Step-by-step explanation:
Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?
Answer:
$31.70
Step-by-step explanation:
aPExI need help ASAP!!!!
Answer:
3x-x+2=4
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
P(2,3) thats the answer ;)
Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.
Answer:
[tex]|A-38|=5[/tex]
33% or 43%
Step-by-step explanation:
Given that poll is accurate within [tex]\pm5[/tex].
38% voters have voted for candidate A.
[tex]A[/tex] is the percent of voters who will vote for candidate A.
So, value of A can be 38+5=43%
OR
38-5 = 33%
We will write an absolute function for the above situation.
But, first of all, let us have a look at the definition of Absolute value function.
[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]
The the value of function gives us a negative sign when the value inside the modulus function is negative.
[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and
[tex]A-38[/tex] will be positive when [tex]A>38[/tex].
This difference is given as [tex]\pm5[/tex].
Therefore, the absolute value function can be written as:
[tex]|A-38|=5[/tex]
Case 1: [tex]A < 38[/tex]
As per definition of modulus function, it will open with a negative sign.
[tex]-A+38=5\Rightarrow A = 33[/tex]
Case 2: [tex]A>38[/tex]
As per definition of modulus function, it will open with a positive sign.
[tex]A-38=5\Rightarrow A = 43[/tex]
Therefore the answer is 33% or 43%
Help me please...............
Answer:
Search it up
Step-by-step explanation:
GO ON GOOGLE sorry i couldnt help :(
What is the slope of the following equation?
Answer: 2-
Step-by-step explanation:
Account
Does this equation have a single solution, Inhnite solutions, or no solution?
Dashboard
2x + 2x + 2 = 4x + 2
Courses
teolition
Calendar
Inhnite solutions
ne solution
Inbox
Next
Hele
No new data to save Last checked at 5: Sopm
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Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.
Step-by-step explanation:
To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?
Group of answer choices
The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.
Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
Please help! I’ll mark as BRAINLIEST :))
If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?
Step-by-step explanation:
could the conditional statement be written in another way
Can somebody explain and give examples on questions like
What is divisible by this number ?
Answer:
more than one digits.
Step-by-step explanation:
There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4
Standing on top of a 235 foot tall building, you spot your friend on the ground who is 94 feet away from the building. What is the angle of depression you had to look to spot your friend?
Answer:
bebot dede loooStep-by-step explanation:
Tickets that cost $88 for a professional women’s championship soccer game are offered at a 15% discount. What is the sale price?
Answer:
$74.80
Step-by-step explanation:
10% = 8.8
5% = 4.4
8.8 + 4.4 = 13.2
88 - 13.2 =$74.80