Answer:
1487
Step-by-step explanation:
The inequality is 0.04m + 10 ≥ 69.48. We use ≥ and not > because it says "least", indicating that we need to use the ≥ sign. Solving for m we get:
0.04m + 10 ≥ 69.48
0.04m ≥ 59.48
m ≥ 1487
The smallest integer that satisfies this inequality is 1487 minutes.
Helen drives 195 miles in 3 hours.
a) What is her average speed in mph?
Matthew drives at an average speed of 62 mph for 5 hours.
b) How many miles does Matthew drive?
Answer:
a) What is her average speed in mph?
= 65 mph
b) How many miles does Matthew drive?
=310 miles
Step-by-step explanation:
The average speed in meters per hour (mph) of Helen is 65 miles per hour
Given:
Total distance = 195 miles
Time taken = 3 hours
Average speed = Total distance ÷ Time taken= 195 miles ÷ 3 hours
= 65 miles per hour
If Matthew drives at an average speed of 62 mph for 5 hours.
Total distance between traveled = Average speed × Time taken
= 62 mph × 5 hours
= 310 Miles
Therefore the total miles Helen traveled in 5 hours at the rate of 62 mph is 310 miles
Read more:
https://brainly.com/question/8406966
Which compound inequality is represented by the graph?
O-2
0-2
O x<-2 or x 24
OX-2 or x > 4
Answer:
C x<-2 or x>_ 4
Step-by-step explanation:
Dont get corona!
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function
Answer:
Step-by-step explanation:
d= distance
t= time
The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.
(T) (D)
1 30
2 60
3 90
4 120
5 150
These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.
I need help I don't understand I was on a streak and now this stupid problem is just unsolvable I just want to finish this stupid work and play gtao
Answer:
the ratio is 1:3
Step-by-step explanation:
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
Answer:
x = 0 , x = -2
Step-by-step explanation:
The function given to us is:
f(x) = 3/2x - 5
g(x) = x² + 2x
We have to find the input x, for which the output of the function g(x) becomes 0.
It means that there is no use for the function f(x) in this question, so discard it
Substitute g(x) = 0 into the given equation of g(x):
g(x) = x² + 2x
0 = x² + 2x
Take x common from both the terms:
x(x+2) = 0
Thus, the values of x can be written as:
x = 0 , x + 2 = 0
x = 0 , x = -2
Does the graph represent a function?
Answer:
yes
Step-by-step explanation:
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c, d) find the value of c and the value of d
Answer:
c = -6
d = -1
Step-by-step explanation:
In the picture attached, the question is shown.
Shape A is composed of the points:
(3, 2)
(5, 2)
(3, 5)
Reflection across the x-axis transforms point (x, y) into (x, -y). Applying this transformation to shape A:
(3, 2) → (3, -2)
(5, 2) → (5, -2)
(3, 5) → (3, -5)
Translation (c, d) transforms (x, y) into (x+c, y+d). The point (3, -2) in the pre-image (before translation) corresponds to point (-3,-3) in the image (after translation). Therefore:
(3, -2) → (3+c, -2+d) → (-3,-3)
3+c = -3
c = -3 -3 = -6
-2+d = -3
d = -3+2 = -1
i need help guys, can someone pls help? i already answered it but i know its wrong so avoid the answers that were written.
Answer:
A: d= every time she walks the dog
b= every time she babysits
B: 8d+12b
Brainlyest pls
Answer:
A: d= every time she walks the dog b= every time she babysits
B: 12b+8d
Step-by-step explanation:
I just did it.
HURRRYYYY FIRST GETS BRAINLLEST Janine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is even and greater than 80? Input your answer as a decimal or fraction.
Answer:
1/10 or ( 0.1 )
Step-by-step explanation:
no. of even no.s greater than 80 = 10
Total no.of numbers = 100
So P(no. of even no.s greater than 80) = 10/100 = 1/10
Answer:
There are 10 even numbers greater than 80.
So Probability of getting an even numbers greater than 80 is 10/100 (1/10)
Hope it helps you. Please mark Brainliest :)
Have a nice day PPLS!!!!!!!
A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. What is the probability that the password spells the word “MATH?”
Answer:
Only vowels and odd numbers:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
Spells math:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
The number of passwords with only vowels and odd numbers is 1/125580 and the probability that a password spells MATH is 1/358800
How to determine the probabilityThe password format is given as:
LDDDDLLL
Since no character can be repeated, then the total number of different password using the format is:
Total = 26 * 10 * 9 * 8 * 7 * 25 * 24 * 23
Total = 1808352000
Also using the format, the number of passwords with only vowels and odd numbers is:
Total = 5 * 5 * 4 * 3 * 2 * 4 * 3 * 2
Total = 14400
The probability is then calculated as:
[tex]p = \frac{14400}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{125580}[/tex]
The number of password that spells MATH is:
Total = 1 * 10 * 9 * 8 * 7 * 1 * 1 * 1
Total = 5040
So, the probability that a password spells MATH is:
[tex]p = \frac{5040}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{358800}[/tex]
Hence, the probability that a password spells MATH is 1/358800
Read more about probability at:
https://brainly.com/question/25870256
Which statement is true regarding the graphed functions?
Answer:
C
Step-by-step explanation:
You can look them up in the graphs.
f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.
What is the initial value of the equation shown?
y = -7x - 6
-13
-7
-6
-1
Answer:
-6
Step-by-step explanation:
Just did the test and -6 was the right answer.
Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.
Outcome/Tally
Gerbil chooses left branch = 7 Tallys
Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?
Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?
Part C
Does the experimental probability equal the theoretical probability? Explain.
Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
if the parent function is y=2x, which is the function of the graph?
a. y = 0.5(2)^x+1 - 3
b. y = 0.5(2)^x-1 - 3
c. y = 0.5(2)^x+1 + 3
d. y = 0.5(2)^x-1 + 3
Answer:
The answer is option B.[tex]y = 0.5 {(2)}^{x - 1} - 3[/tex]
Hope this helps you
Solve for b. -11b+7 = 40−11b+7=40
Answer:
This equation is false
Step-by-step explanation:
Well,
-11b + 7 = 4 - 11b + 7 = 40
combine like terms
-11b + 7 = -11b + 3 = 40
Communicative property
-3 to both sides
-11b + 4 = -11b = 40
-4 to both sides
-11b = -11b = 36
+11b to both sides
0 = 36
0 is not equal to 36 meaning that this equation is false.
Thus,
the equation given is false.
Hope this helps :)
Answer:
b= -3
Step-by-step explanation:
So uh it was not -11b+7 = 40−11b+7=40
it was -11b+7 = 40 the equasion was probably just copy pasted twice.
Sorry im late i just got this question on khan acadamey
hope this helps
Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?
Answer: 9 yards
Step-by-step explanation:
The proportion x/15 = 12 / 20 ||| X * 20 = 20X ||| 12 x 15 = 180 ||| 180 / 20 = 9
Suppose the correlation coefficient between a baby's weight and the price of a smartphone is 0.87. Which statement is true?
Answer:
c
Step-by-step explanation:
The statement i.e. true is that when the baby gained the weight so the price of the phone should be increased.
Relationship between the price and weight:Since the correlation coefficient should be 0.87 that shows between the baby's weight and the price of a smartphone.
So here it shows the healthy and positive relationship between the weight and the price.
Therefore, the option c is correct.
learn more about correlation here: https://brainly.com/question/1564293
I am interested in the how, not just an answer. Who can show me the correct solution path?
A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
Answer:
In the given question, it is given that A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
The ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is
tan B= 8/15
Step-by-step explanation:
Check all solutions to the equation. If there are no solutions, check "None."
x=-81
Answer:
none
Step-by-step explanation:
If a squared variable is equal to a negative number, all of the solutions are imaginary
There are no real solutions
Answer:
The correct answer is none.
Visitors to a museum each hour during operating hours: 35. 42, 65, 59,84.62.46.
52,24
Lowest value:
Highest value:
Spread:
Center value:
Answer:
Lowest value: 24
Highest value: 84
Spread: 60
Center value: mean = 52.11
median = 53
Step-by-step explanation:
Given data
35. 42, 65, 59,84.62.46. 52,24
let arrange is from smallest to largest
24, 35, 42, 46, 52, 59, 62, 65,84
Thus,
Lowest value = 24
Highest values = 84
Spread is the range of data
range is difference of highest and lowest value
spread = 84-24 = 60
Center value is mean and/or mean of data
mean = sum of data/ no. of data
no. of data = 9
mean = 24+ 35+ 42+ 46+ 52+ 59+ 62+ 65+84/9 = 469/9 = 52.11
median is the middle term when data is arranged in ascending order.
median is (n+1)/2 th term when no. of data is odd
median is (9+1)/2th term = 5th term
5 th term is 52
thus, median is 52.
Thus, solution is
Lowest value: 24
Highest value: 84
Spread: 60
Center value: mean = 52.11
median = 53
Which of the points (x, y) does NOT lie on the unit circle?
Answer:
a) P(1/2, 1/2)
Step-by-step explanation:
If the point does not lie on a coordinate axis, then the sum of the coordinates must be greater than 1. (This is a consequence of the triangle inequality and the fact that the hypotenuse of the right triangle is 1.)
This fact lets you readily identify (1/2, 1/2) as not being on the unit circle.
PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?
Answer:
.7
Step-by-step explanation:
What is one of the solutions to the following system? StartLayout Enlarged left-brace 1st Row y minus 3 = x 2nd row x squared minus 6 x + 13 = y EndLayout (–5, 2) (–2, 1) (2, 5) (8, 5)
Answer:
The solution of given equation is (2,5)
Step-by-step explanation:
The equations give to us are:
y - 3 = x
or
y = x + 3
y = x² - 6x + 13
We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.
Substitute (2,5) in both equations
y = x+3
5 = 2+3
5 = 5
TRUE
y = x² - 6x + 13
5 = 2² -6(2) + 13
5 = 5
TRUE
Similarly, we can also check the rest of the points, which come as FALSE.
Therefore, the solution of given equation is (2,5)
Answer:
Answer is C
Step-by-step explanation:
Need help finding the missing length to the attached triangle.
Answer:
1500
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]
Answer:
1500
Step-by-step explanation:
Use the right triangle altitude theorem.
x/900 = 2500/x
x^2 = 900 * 2500
x = sqrt(900 * 2500)
x = 30 * 50
x = 1500
Help, My parents can’t even help me. I’m really stuck. In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?
Answer:
This is an extremely easy question. Your correct answer is 1/7,200 or 0.01389%
Step-by-step explanation:
Since you have to choose the three numbers and one super ball to be able to win the lottery, your chances of getting 3 white numbers is 1/10 x 1/9 x 1/8 = 1/720
The chances of getting the super ball is 1/10
And the chances of winning the jackpot is 1/720 x 1/10 = 1/7,200 = 0.01389%
Which of these phrases contain a variable? Check all that apply.
O A. The length of the hallway
O B. Twelve ounces of tea
O C. The weight of the wombat
O D. Seven cups of flour
Answer:
The length of the hall way
the weight of the wombat
1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
2. Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y = -5.
3. Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5
Answer:
1. [tex]-5x+3y+44=0[/tex]
2. [tex]2x+y-2=0[/tex]
3. [tex]2x+y-4=0[/tex]
Step-by-step explanation:
Standard form of a line is [tex]Ax+By+C=0[/tex].
If a line passing through two points then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope, i.e.,[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
[tex]y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)[/tex]
[tex]y+3=\dfrac{-5}{-3}(x-7)[/tex]
[tex]y+3=\dfrac{5}{3}(x-7)[/tex]
[tex]3(y+3)=5(x-7)[/tex]
[tex]3y+9=5x-35[/tex]
[tex]-5x+3y+9+35=0[/tex]
[tex]-5x+3y+44=0[/tex]
Therefore, the required equation is [tex]-5x+3y+44=0[/tex].
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to [tex]2 x + y =-5[/tex].
Slope of the line : [tex]m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2[/tex]
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
[tex]y-2=-2(x-0)[/tex]
[tex]y-2=-2x[/tex]
[tex]2x+y-2=0[/tex]
Therefore, the required equation is [tex]2x+y-2=0[/tex].
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to [tex]2x + y =-5[/tex].
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
[tex]y-0=-2(x-2)[/tex]
[tex]y=-2x+4[/tex]
[tex]2x+y-4=0[/tex]
Therefore, the required equation is [tex]2x+y-4=0[/tex].
If I have 2 steel rods, one with 17% purity and one with 25% purity. How much should I take (in kgs) from each bar?
Answer:
250 kg of 17% and 150 kg of 25%
Step-by-step explanation:
For answering this, we do it by proportions.
take the difference
17% === 20% === 25%
3 5
Then ratio
17% :25% = 5:3
For 400 kg,
17% = 5/(5+3) * 400 = 250 kg
25% = 3/(5+3) * 400 = 150 kg.
Above is a mental method, no calculation or pencil need.
I will edit to give an algebraic method.
Algebraic method:
Given:
17% rods and 25% rods.
Need to make 400 kg of 20% rods.
Let
A=weight of 17% rods
B=weight of 25% rods
to make 20% rods, we need
( 0.17A + 0.25B ) / (A+B) = 0.20 ............(1)
But we know that
A+B=400 .............(2)
substitute
B=400-A in (1)
( 0.17A + 0.25 (400-A) ) / 400 = 0.20
Cross multiply and simplify
(0.17-0.25)A +100 = 80
-0.08A = -20
A = -20 / (-0.08)
A = 250 ...........(3) (17% rods)
substitute (3) in (2)
B = 400-250 = 150 (25% rods)
Same answer as mental calculations
Even simpler albebra, same answer!
Given:
17% rods and 25% rods.
Need to make 400 kg of 20% rods.
Let
W=weight of 25% rods
400-W = weight of 17% rods
To make 20% purity rods, we need to have 400*0.2=80 kg of pure metal, which is
0.25W + 0.17(400-W) = 80
Expand and simplify
0.25W + 68 - 0.17W = 80
0.08W = 80-68 = 12
W = 12/0.08 = 150 (25% rods)
400-W = 250 kg (17% rods)
Answer:
245432
Step-by-step explanation:
Angela uses cup of strawberries to make of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?
What is this expression in simplified form?
(8/10)(8/5)
OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2
Answer:
A.64/50
Step-by-step explanation:
8/10*8/5
64/50
The least simplified form of the equation is 32/25
The simplified form of expression is option (D) 64/50 is the correct answer.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is (8/10)(8/5)
The simplified form of expression is
⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]
⇒ [tex]\frac{64}{50}[/tex]
Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.
Learn more about simplification of an expression here
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