Answer:
7
Step-by-step explanation:
Step 1: translate the given word problem into solvable algebraic equation.
Let "t" represent the number of tadpoles Joseph caught.
"Wendy caught nine times three more than Joseph caught" can be expressed as 9(t + 3)
Number of Wendy's tadpole = [tex] 9(t + 3) [/tex]
Given that half of Wendy's tadpole and also 6 times Joseph's tadpoles swarm away leaving Wendy with only 3, the following equation can be written:
[tex] \frac{9(t + 3)}{2} - 6t = 3 [/tex]
Step 2: solve for t using the equation created.
[tex] \frac{9(t + 3)}{2} - 6t = 3 [/tex]
Add 6t to both sides
[tex] \frac{9(t + 3)}{2} - 6t + 6t = 3 + 6t [/tex]
[tex] \frac{9(t + 3)}{2} = 3 + 6t [/tex]
Multiply both sides by 2
[tex] \frac{9(t + 3)}{2}*2 = (3 + 6t)*2 [/tex]
[tex] 9(t + 3) = 2(3 + 6t) [/tex]
[tex] 9t + 27 = 6 + 12t [/tex]
Collect like terms
[tex] 9t - 12t = 6 - 27 [/tex]
[tex] -3t = -21 [/tex]
Divide both sides by -3
[tex] t = 7 [/tex]
Joseph caught 7 tadpoles
Six less than four times a number is 24
written out in numbers
Answer:
4x - 6 = 24
+ 6. +6
4x=30
x=7.5
What came first into your mind when you read the word “union"? How did you
get the union between the two given sets?
Answer:
well when you hear "union" you think 'joined' or 'together' since thats what it means, In a mathmatical set of numbers, union means that both of the sets are necessary for the equation to be true. I'm not sure what the sets are in this problem but in order to get "union" from anything, that means that when you checked for your domains, the values that you got had to be part of both the given sets
Grace is taking a road trip that is 1,133 miles long. She has already driven 978 miles. How many
more miles does Grace need to drive?
1122 miles
Answer:
155 miles
Step-by-step explanation:
Anna takes 10 selfies every 12 minutes at this rate how many minutes for 25 selfie’s
Answer:
30 minutes.
Step-by-step explanation:
You can make a proportion, which would be 10 selfies : 12 minutes. The second one will be 25 selfies : x minutes.
They have to be equal, since it is given that the rate stays the same. So 10:12=25:x
A proportion can be written as a fraction, so 10/12=25/x.
Cross multiply, and you get 10*x=12*25, or 10x=300.
Now divide both sides by 10 to get x=30.
10. According to a survey, about 58% of families sit down for a fumily dinner at least four times per week. You ask 5 randomly chosen families whether they have a family dinner at least four times per week.
a. Draw a histogram of the binomial distribution for the survey.
b. What is the most likely outcome of the survey?
c. What is the probability that at least 3 families have a family dinner four times per week?
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Given n = 5, p = 0.58, and q = 0.42.
P(0) = ₅C₀ (0.58)⁰ (0.42)⁵⁻⁰ = 0.013
P(1) = ₅C₁ (0.58)¹ (0.42)⁵⁻¹ = 0.090
P(2) = ₅C₂ (0.58)² (0.42)⁵⁻² = 0.249
P(3) = ₅C₃ (0.58)³ (0.42)⁵⁻³ = 0.344
P(4) = ₅C₄ (0.58)⁴ (0.42)⁵⁻⁴ = 0.238
P(5) = ₅C₅ (0.58)⁵ (0.42)⁵⁻⁵ = 0.066
The most likely result is 3 families.
The probability of at least 3 families is:
0.344 + 0.238 + 0.066 = 0.648
Find the area of the triangle. 13 m 16 m
Answer:
Area = 104
Step-by-step explanation:
The equation to find the area of a triangle is A = 1/2 BH
so if we plug in to numbers into the equation we get
A = 1/2 13*16 no we can multi plier 13*16 and we get 208
and last we can multiply 1/2 to 208 and our final answer is 104
High Hopes^^
Barry-
Please help and please pick between a b c or d
An orthocenter of a triangle is
Answer:
the intersection of the triangle's three altitudes.
Step-by-step explanation:
hope this helped </3
y=5/3x -15 in general form
Answer: 5x - 3y = 45
Step-by-step explanation:
Hope this helps
What is the answer to 6.59+(-7.8)-(2.41)=
Kathy's car runs almost 21 miles on a gallon of gas. If Kathy needs to travel 250
miles, at least how much gas does she need to reach her destination? Express your
answer to the nearest whole gallon.
Оа
Ob
Oc
Od
at least 8 gallons.
at least 10 gallons.
at least 12 gallons.
at least 14 gallons
Answer:
at least 8 gallons
Step-by-step explanation:
There are 11 apples in a basket. 5 of these apples are green.the rest of them are red. What are the ratio of all apples to red apples? What is the ratio of green apples to red apples?
Answer:
11/6 or 1 5/6
Step-by-step explanation:
11 = 5 = 6
11/6
simplified it is
1 5/6
(3x²+5x)-(2x²-3x) simplify
What is the slope of the line that passes through:
(6,5) and (-1,-4)
Thank You!
Answer:
[tex]m=\frac{9}{7}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-4-5}{-1-6}[/tex]
[tex]m=\frac{-9}{-7}[/tex]
[tex]m=\frac{9}{7}[/tex]
A landlord is considering upgrades and repairs, including wood floors, kitchen tile, a new back door, and a repaired garage door. The landlord could do these things himself or hire a contractor. The contractor could finish the job in half the time but would charge more. The landlord wants to leave the choice of whether to actually upgrade the kitchen tile up to the optimization algorithm. How should this constraint be written if he uses the following scheme for decision variables? x1 = contractor works on wood floors x2 = landlord works on wood floors x3 = contractor works on kitchen tile x4 = landlord works on kitchen tile x5 = contractor works on back door x6 = landlord works on back door x7 = contractor works on garage door x8 = landlord works on garage door Group of answer choices x3+ x4≤ 1 x3+ x4= 1 x3- x4= 1 x3- x4≤ 1
Answer:
x3 + x4 ≤ 1
Step-by-step explanation:
Upgrades considered = wood floors, Kitchen tile, New back door and a repaired garage
The constraint of whether to upgrade the kitchen either by the landlord or by a contractor can be represented with the scheme below:
x3 + x4 ≤ 1
The constraint is written this way because only one scheme can be used at a time i.e when x3 = 1 , x4 = 0 and vice versa. also
note that both x3 and x4 can be = 0. because the upgrade of the kitchen tiles is under probability and the landlord might decide not to upgrade the kitchen tiles hence both schemes ( x3 and x4 ) can be = 0
Nicole invested $400 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $72. As a
percentage, what was the annual interest rate of her investment?
Answer:
83.3333%
Step-by-step explanation:
The accrued amount of an investment is the original principal P plus the accumulated simple interest, I = Prt, therefore we have:
A = P + I = P + (Prt), and finally A = P(1 + rt)
Every day the Washington pet store uses 3/4 of a bag of dog food to feed the dogs his many days will 1 1/2 bags of dog food last
Answer:
2 days
Step-by-step explanation:
Is it geometric or arithmetic? Why
Answer: It is Geometric.
Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.
This is my question?
(-8.811)(16.29)
I hope you can solve this!!
Answer:
-143.53119
Step-by-step explanation: i think sorry if its wrong
13. ALGEBRA Arianna North borrowed $12,500 to purchase a new cello and
agreed to pay back $13,250 in 270 days. What exact interest rate was
she paying? (Round your answer to the nearest tenth of a percent.)
8.1% is the exact interest rate
The exact rate of interest is 8.11%.
What is rate of interest?The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.
Given:
Arianna North borrowed $12,500
She agreed to pay back $13,250 in 270 days.
let x be the interest rate was she paying
x= 13250 - 12500
= 750
So, x= 750/ 12500 (270/ 365)
x% = 750/ 9,246.57
x% = 0.0811
x%= 8.11%
Hence, the exact rate of interest is 8.11%.
Learn more about rate of interest here:
https://brainly.com/question/13324776
#SPJ2
A scuba diver dives until he is 45 ft below sea level. His friend is at -12 ft. How many feet are they away from each other?
Answer:
33
Step-by-step explanation:
45 - (-12) = 33
His friend is 33ft away from him.
Complete the multiplication problem to find the answer.
26.1
X3.4
1044
7830
A. 88.74
B. 8874
C. 887.4
D. 87.84
Plzz help
Answer: 88.74
Step-by-step explanation:
Answer:
Answer is 887.4
Step-by-step explanation:
Determine the mean, median, mode, and midrange for this collection of class test scores: 88 82 97 76 79 92 65 84 79 90 75 82 78 77 93 88 95 73 69 89 93 78 60 95 88 72 80 94 88 74 a. Mean is 84, median is 82, mode is 82, midrange is 77 b. Mean is 82, median is 88, mode is 88, midrange is 77 c. Mean is 82.4, median is 88, mode is 82, midrange is 78.5 d. Mean is 82.4, median is 82, mode is 88, midrange is 78.5
Mean of a given set of data = Sum of all observations ÷ Total number of observations
Mean of this data set = 88 + 82 + 97 + 76 + 79 + 92 + 65 + 84 + 79 + 90 + 75 + 82 + 78 + 77 + 93 + 88 + 95 + 73 + 69 89 + 93 + 78 + 60 + 95 + 88 + 72 + 80 + 94 + 88 + 74
Mean = 2729 ÷ 30
Mean = 82.4Median = the middle observation in a given set of data
Median of these test scores = 60 , 65 , 69 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 78 , 79 , 79 , 80 , 82 , 82 , 84 , 88 , 88 , 88 , 88 , 89 , 90 , 92 , 93 , 93 , 94 , 95 , 95 , 97 .
Median = 82 + 82 / 2
= 164 ÷ 2
= 82
Median = 82Mode = most frequently occurring number in a given set of data .
Mode of these test scores =
= 60 = 1 time
= 65 = 1 time
= 69 = 1 time
= 72 = 1 time
= 73 = 1 time
= 74 = 1 time
= 75 = 1 time
= 76 = 1 time
= 77 = 1 time
= 78 = 2 times
= 79 = 2 times
= 80 = 1 time
= 82 = 2 times
= 84 = 1 time
= 88 = 4 times
= 89 = 1 time
= 90 = 1 time
= 92 = 1 time
= 93 = 2 times
= 94 = 1 time
= 95 = 2 times
= 97 = 1 time
Mode = 88Midrange = average of the largest and smallest number in a given set of data
Midrange of these test scores = 97 + 60 / 2
= 97 + 60 / 2
= 157 ÷ 2
= 78.5
Midrange = 78.5Therefore , the correct option is :-
(d) Mean is 82.4 , median is 82 , mode is 88 , midrange is 78.5Please help! Thanks!
2) Why is it that when you fill the venn diagram with the number of elements, you
always need to start from the intersection of all sets?
Answer:
This is because it is easier this way.
You avoid the problem of putting an element in one set and then realizing that the element also belongs to another set, then you must erase something in order to put the element in both sets. Starting with the intersection allows you to know where will be each set in the diagram, and in this way, the diagram should end up being more readable or "clean".
This may seem small, but being "clean" when doing math, will allow you to have an easier time dealing with a lot of problems. And also will be easier for other people when reading your equations and such.
help please (see below)
Answer:
The quotient is 10x + 16
The remainder is [tex]28x^2 + 10x +22[/tex]
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
65mph
Step-by-step explanation:
Add 100 and 30 together then divide by 2. You get 65 miles per hour.
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answer:
The number -5 is a real number is true.
Answer:
what number is the second sentence
find the value ofx in the equation 3x+1=×+9.
Answer:
x = 4
Step-by-step explanation:
First, you subtract 1 from both sides, giving you 3x = x + 8
Then you subtract 1x from both sides, so 2x = 8
Divide the 2 from both sides which leaves you with the answer, x = 4
What does this even mean??? I accidentally went on college
Answer:
I think what the teacher wants is for you to calculate it and then put said calcuated number on number line
Step-by-step explanation:
FOR EXAMPLE: if the DIFFERENCE is 7, put 7 on the number line
I think the greatest number