Answer: y=4x+11
Step-by-step explanation:
a car travels along the highway to yuma at steady speed. when it begins, it is 400 miles from yuma. After 7 hours, it is 59 miles from yuma. which function describes the cars distance from yuma?
The car's position can be described with the linear function below:
y = (-48.7 mi/h)*x + 400 mi
Which function describes the car's distance from Yuma?
We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:
y = a*x + b
Where y is the distance, a is the slope and b is the y-intercept.
Knowing the initial distance, we can write:
y = a*x + 400mi
And we know that after 7 hours, the car is at 59 mi, then we can write:
59 mi = a*7h + 400mi
59mi - 400mi = a*7h
-341 mi = a*7h
-341mi/7h = a
-48.7mi/h = a
Then the equation that describes the distance from Yuma is:
y = (-48.7 mi/h)*x + 400 mi
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Answer:
y=-50x+400
Step-by-step explanation:
Took the text
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab. What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?
Answer:
1/4Step-by-step explanation:
Given
amount of salamanders, = 5
amount of crayfish = 3
amount of minnows = 12
Total fish = Total outcome = 5+3+12
Total outcome = 20
Since we are looking for the probability of selecting salamanders, our expected outcome will be 5.
Probability = expected outcome/total outcome
Pr( salamanders,) = 5/20
Pr( salamanders) = 1/4
Hence the probability of selecting salamanders, is 1/4
(ANSWER ASAP PLZZ) WILL MARK BRAINEST IF CORRECT)Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?
Answer: 30/4
Step-by-step explanation:
A magazine contains 80 pages of advertisements. This represents 64% of the total pages in the magazine. How many total pages are in the magazine?
Answer:
125 pages
Step-by-step explanation:
Since 80 is 64% of unknown x we can write the equation 80/x=64/100. Now cross multiply to get 8000=64x. Divide both sides by 64 to get 125=x.
Which number is rational?
1. –2.1010010001...
2. –0.8974512...
3. 1.2547569...
4. 5.3333333...
PLEASE HELP ITS A UNIT TEST AND TIMED
Answer:
4.) 5.3333333....
Step-by-step explanation:
Rational numbers are either repeating decimals:
[tex]\frac{1}{3}= 0.333333333....[/tex]
Include terminating decimals:
[tex]\frac{1}{8}= 0.125[/tex]
Are all numbers that can be written as a quotient of integers:
[tex]\frac{a}{b},b\neq 0[/tex]
Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.
Option (4) has repeating decimals, so this is rational.
:Done
3
Mark placed a ladder against a wall. The bottom of the ladder was 5 feet away from the wall. Find the height of the wall.
Ladder
10 feet
Wall
5 feet
Answer:8.66?
Step-by-step explanation:
pythagoras theorum finding the shorter side
A=C²-B²
10²-5²
=√10² - 5²
=8.66
karl has $400 in a savings account. the interest rate is 10%, compounded annually. what type of model best fits this situation?
A Robotics Club has 16 members. Each member pay monthly dues of $14.60. On the first day of the month 10 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected on the second day of the month?
Answer:
Total cash collected= $87.6
Step-by-step explanation:
Giving the following information:
A Robotics Club has 16 members. Each member pay monthly dues of $14.60. On the first day of the month 10 members paid their dues.
To calculate the total cash collected on the second day, we need to use the following formula:
Total cash collected= unitary cost*number of members
Total cash collected= 14.6*6
Total cash collected= $87.6
M is the midpoint of AD.
Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The length of side B M is 3 x + 6 and the length of corresponding side M C is 4 x minus 1.
What value of x will make triangles ABM and DCM congruent?
3
5
7
9
Answer:
7
Step-by-step explanation:
ΔABM and ΔDCM
4x - 1 = 3x + 6
4x - 3x = 6 + 1
x = 7
Answer:
C. 7
Step-by-step explanation:
Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).
Given
BM = 3x+6
MC =4x-1
Since both triangles are congruent, then BM = MC
Next is to get x;
3x+6 = 4x-1
collect like terms'
3x-4x = -1-6
-x = -7
multiply through by -1
-(-x) = -(-7)
x = 7
Hence the value of x that will make triangles ABM and DCM congruent is 7
Hannah wants to have $ 7500 to help pay for a new deck in 13 years. If she wants to put her money into an account earning 7% interest compounded continuously, how much should she invest now, so that she will have $ 7500 in 13 years?
Answer:
$ 3,018.93
Step-by-step explanation:
This question is asking us to find the Principal.
Hence, the formula for compound interest that is compounded continuously is :
A = Pe^rt
P = Principal/Initial amount
A = Amount after investment = $7500
r = Interest rate = 7% = 0.07
t = time in years = 13 years
Hence,
7500 = Pe^0.07 × 13
P = 7500/e^0.07 × 13
P = 7500/e^0.97
P = $3018.9316803
Approximately P (The amount that should be invested ) = $3,018.93
i need this asap! will give a thanks and brainliest to whoever answers !!
Answer:
10 spiders
18 grasshoppers
Adam is d years old and Brandon is b
old and Brandon is b years older than Adam.
In how many years will Brandon be twice as old as Adam is now?
Answer:
-b years from now
Step-by-step explanation:
The age of Adam = d
The age of Brandon = b
The number of years Brandon is older than Adam = b
Therefore;
b = d + b
∴ d = 0
Therefore, Brandon will be twice as old as Adam is now when Brandon is 2 × 0 = 0 years
The number of years before Brandon will be twice as old as Adam is now = 0 - b = -b years from now
Find the angle measures.
Justify your responses.
Given: a//b, m1 = 71 degrees
Find: m5 , m8
SHOW YOUR WORK OR I WILL NOT GIVE YOU BRAINLIEST ANSWER! THANK YOU
Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
Brainleist please
Multiply 986 and 19 together. Round to the nearest hundredth when necessary.
Answer:
18734
Step-by-step explanation:
mark brainliest please:)
A newspaper surveyed households to determine how likely they were to subscribe to their publication. The results are shown below by annual household income.
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Identify the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription. What does this number represent?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The sample
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Generally the sample size is mathematically represented as
[tex]n = 40 + 53 + 65+ 73 + 63 + 70 + 32+ 16[/tex]
=> [tex]n = 412[/tex]
Generally the number of the sample with an income greater $60,000 is mathematically represented as
[tex]N = 63 + 70 + 32 + 16[/tex]
=> [tex]N = 181[/tex]
Generally the number of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
[tex]X = 70[/tex]
Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is
[tex]P(X) = \frac{70}{181} * 100[/tex]
=> [tex]P(X) = 39\%[/tex]
A 4-pound bag of charcoal coasts $7.44. what is the unit price?
Answer: use a calculator or ask for help
Step-by-step explanation:
please help me this question
Answer:
[tex]C) 1210m^2[/tex]
Step-by-step explanation:
Initial Length of the rope (r) = 12 m
Final length of the rope (R) = 23 m
[tex]Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2[/tex]
While driving off the coast of Mexico, Jose dove below the surface 17 feet. He then swam up 6 feet. He saw a big shell, so he dove a another 8 feet down. He swims back up 4 feet to look at fish. What was the depths at which he finds the fish? A.-30, B.30, C.-15, D.-17
Answer: 15
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. irenes car had 5.7 gallons in the 14-gallon tank on the coldest day of the year irene filled the tank with gas that cost $3.80 per gallon. How much did irene spend on gas?
Answer:
lkj l l /nkmpnok
Step-by-step explanation:
What is the greatest common factor (GCF) of 36 and 64?
The greatest common factor of 36 and 64 is 4.
Here,
To find the greatest common factor (GCF) of 36 and 64,
we can use the prime factorization method:
Step 1: Find the prime factorization of each number.
Prime factorization of 36:
36 = 2 * 2 * 3 * 3
Prime factorization of 64:
64 = 2 * 2 * 2 * 2 * 2 * 2
Step 2: Identify the common prime factors and their lowest exponents.
Common prime factors: 2 * 2
Step 3: Multiply the common prime factors with their lowest exponents.
GCF(36, 64) = 2 * 2 = 4
So, the greatest common factor of 36 and 64 is 4.
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A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?
Answer: 3:20
Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.
Slope intercept form
WILL MARK BRAINLIST
Please finish the functions on these 7,8 please 10 points :)
What you have so far is correct.
Problem 7 is a function because none of the x values repeat. Each x input goes to exactly one y output. The y values can repeat. If the y values repeat, then we don't have a one-to-one function.
In contrast, problem 8 is not a function. We have x = 1 go to y = 8 and y = 6 at the same time. This is one example showing we don't have one output for a given input.
4×(x+1)−5=11 NEED HELPPPP
Find the measure of the angle indicated in bold.
Answer Choices:
84o
125o
60o
100o
Answer:
100
Step-by-step explanation:
12x - 4 + 13x + 9 = 180
25x + 5 = 180
25x = 175
x = 7
13(7) + 9 = 100
Consider the line y = 5x-7.
Find the equation of the line that is perpendicular to this line and passes through the point (2. – 5).
Find the equation of the line that is parallel to this line and passes through the point (2.-5).
Answer: 3
ur answer is 3
i'm in need of help!
Answer:
24 hours per day
Step-by-step explanation:
Find the product
-8.4 x–7.6
Answer:
63.84
Step-by-step explanation:
Answer:
63.84
Step-by-step explanation:
Multiply both numbers without the decimal point then move the decimal point 2 places to the left.
As an estimation we are told 5 miles is 8 km.
Convert 42.5 miles to km.
Answer:
the answer is 68km.
Step-by-step explanation:
Answer:
42.5 miles is about 68km
multiply 42.5 by 8/5 and you have your answer
How long does it take the penguin to walk 45 feet?