Answer:
4 numbers
Step-by-step explanation:
Given
Five Digit Flippy Numbers
Required
Determine the number of these digits divisible by 15
Represent the format of this digits as: ABABA
A number is divisible by 15 if and only if it ends with 5 or 0
i.e.
[tex]ABABA = 0B0B0[/tex]
or
[tex]ABABA = 5B5B5[/tex]
The first format [tex]ABABA = 0B0B0[/tex] cannot be considered because the number starts with 0 which means that
[tex]ABABA = B0B0[/tex] ---- This is 4 digits not 5
Taking into consideration: 5B5B5
We know that 15 is a product of 5 and 3
i.e.
[tex]15 = 5 * 3[/tex]
5B5B5 is divisible by 5 because it ends with 5. So, for a number of this format to be divisible by 15, it must be divisible by 3
Numbers in this category are: 50505, 53535, 56565 and 59595
Hence, there are 4 five-digit flippy numbers divisible by 5.
An 8-pack of batteries costs $9.44
What is the price in dollars, of one battery?
Answer:
1.18
Step-by-step explanation:
First we have established that 9.44 is the total, and we know that there are 8 batteries in each pack. This is a problem of division.
By first identifying key words like each and total, you can safely assume it will be a division problem.
First step: Dividing the total with the number of batteries in the singular pack gives you a valid answer
9.44÷8=1.18
Second step: To make sure you didn't miscalculate, you can use: 1.18×8, which is equal to the total.
Which expression is equivalent to (r^-7)^6?
Jorge bought 16 apples for $8.00.
Let x represent the number of apples purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
i go to wiva
Answer:
x=16
y=8.00
8/16=0.5 (50 cents per apple)
y=0.5x+0
martin reads 19 pages of a novel in 12 minutes. complete the proportion and use it to find x, the number of pages he reads in 42 minutes
Answer:
67 pages in 42 minutes
Step-by-step explanation:
Please help me, thanks!
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
Consider the integers x and y. When y is divided by x the remainder is 29. When y is divided by x/2, the remainder is 13. Determine x.
===============================================
Explanation:
When we divide y over x to get a remainder of 29, this means we are dividing over a value greater than 29. This means x > 29.
If we divided over a number 29 or less, then the remainder would be smaller than the divisor.
------------------------------------------
The variable x is some integer. When we divide y over (x/2) we get some other integer. This implies that x/2 itself is also an integer. That tells us that x is some even integer.
So far we know that x > 29 and x is some even number.
------------------------------------------
y divided by x leads to a remainder of 29. This means
y/x = q + 29/x
for some integer q, which is the quotient.
Multiply both sides by x
x*(y/x) = x*(q + 29/x)
y = qx + 29
We'll come back to this later.
------------------------------------------
Now divide y over (x/2) to get a remainder 13. We'll let n be the quotient this time
y/(x/2) = n + 13/(x/2)
which is equivalent to
y = n(x/2) + 13
We can multiply both sides by 2 further getting
2y = 2*( n(x/2) + 13 )
2y = nx + 26
Plug in y = qx+29 from earlier
2(qx+29) = nx + 26
2qx + 58 = nx + 26
Let's group the x terms to one side and everything else on the other side
2qx - nx = 26-58
2qx - nx = -32
-nx + 2qx = -32
nx - 2qx = 32
I multiplied both sides by -1 to turn that -32 into 32
Factoring x from the left side gives
nx - 2qx = 32
x(n - 2q) = 32
We have x as an integer, which is stated in the instructions.
In order to have x(n-2q) = 32 be true, this must mean n-2q is an integer.
We can say n-2q = 32/x, so 32/x is some integer because x is an integer.
------------------------------------------
In short, x and n-2q are both integers. In order for the two integers to multiply to 32, the factors must be smaller than 32 or equal to 32.
So [tex]x \le 32[/tex] and [tex]n-2q \le 32[/tex]
We don't need to worry about the second inequality since all we care about is x.
Recall that earlier we stated that x > 29 and x is even.
Combine this with [tex]x \le 32[/tex] and we form the compound inequality [tex]29 < x \le 32[/tex]
This basically says x is a value from the set {30, 32}
But x = 30 is not a factor of 32. There's no way to have x(n-2q) = 32 be a true equation if x = 30. We must rule x = 30 out.
The only thing left is x = 32. This is the final answer.
------------------------------------------
If x = 32 and y = 29, then we fit the requirements of the problem.
y/x = 29/32 = 0 remainder 29
y/(x/2) = 29/16 = 1 remainder 13
The solution has been confirmed.
A new surgery is successful of the time. If the results of such surgeries are randomly sampled, what is the probability that more than of them are successful
Complete question is;
A new surgery is successful 85% of the time. If the results of 7 such surgeries are randomly sampled, what is the probability that more than 4 of them are successful?
Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places
Answer:
P(X > 4) = 0.93
Step-by-step explanation:
This is a binomial probability distribution problem with the formula;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a new surgery is successful 85% of the time. Thus;
p = 85% = 0.85
n = 7
probability that more than 4 of them are successful would be;
P(X > 4) = P(5) + P(6) + P(7)
P(5) = C(7,5) × 0.85^(5) × (1 - 0.85)^(7 - 5)
P(5) = 0.2097
P(6) = C(7,6) × 0.85^(6) × (1 - 0.85)^(7 - 6)
P(6) = 0.3960
P(7) = C(7,7) × 0.85^(7) × (1 - 0.85)^(7 - 7)
P(5) = 0.3206
P(X > 4) = 0.2097 + 0.3960 + 0.3206
P(X > 4) = 0.9263 ≈ 0.93
need help on this please
100 POINTS PLEASE HELP
Please be accurate with this too.
Answer:
The answer is A :)
Step-by-step explanation:
Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of original square to make a new figure.
How does the area of her new figure compare with that of the original square?
The new square is smaller.
Jordan noticed it rained 1/4 of the days that he recorded the weather in Fulton County . In Boone County , Aubrey found that it rained 1/8 of the days she kept records . According to the records , which county had rain a greater fraction of the time ?
Answer: Jordan
Step-by-step explanation: Jordan's number is short 1/4 which means that it had more of a chance of rain than Aubrey.
The winning candidate in an election receives 0.52 of the votes. a. There are 1000 voters. How many votes does the winning candidate receive?
Answer:
520
Step-by-step explanation:
0.52 as a percent is 52%. 52% of 1000 is 520.
Consider the reduction of the triangle.
A triangle has side lengths 10 centimeters, 85 centimeters, and 62 centimeters. A smaller triangle has side lengths A, B, 6.2 centimeters.
Use the measurements of the original figure and the scale drawing to calculate the scale factor and missing measures.
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Answer:
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Step-by-step explanation:
The scale factor and missing measures are 1/10, A = 1, B = 8.5
What is scale factors?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given are measurements of two triangles, we need to find the missing sides and the scale factors,
So, the scale factor = new measurement / original measurement = 6.2/62 = 1/10
Now, using the definition of the similar triangles, the ratio of the corresponding sides are equal,
62/6.2 = 85/B
10 = 85 / B
B = 8.5
Now,
62/6.2 = 10/A
10 = 10/A
A = 1
Hence, the scale factor and missing measures are 1/10, A = 1, B = 8.5
Learn more about scale factors, click;
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Jessica is walking home from a friend's house. After two minutes she is 0.6 miles from home. Twelve minutes after leaving, she is 0.1 miles from home. What is her rate in miles per hour
You deposit $500 into a savings account that increasing by 7% interest annually. Write the function that represents the balance after t years. Then what is the balance after 2 years.
Step-by-step explanation:
500 ×1.07^t <-- function (I think)
500 × 1 07^2 = $572.45 <-- balance after 2 years
If p + 2q = 20, what is the value of 101p + 202q?
Answer:
bhvigjcgujj
Step-by-step explanation:
Michonne's Phone Service charges $11.06 for an activation fee plus $4 for every gigabyte (g) used.
Answer:
Graph the line of y=11.06x+4
Step-by-step explanation:
First write the equation of the line you want to graph. In this case the values are 11.06 as m, and 4 as the y-intercept (b). If you substitute the values into y=mx+b. Then you need to graph it. Plot the y-intercept, then use rise/run to complete the rest of the points and the line.
In ΔABC, m∠CAB=60° and AD is angle bisector with D∈BC and AD = 8ft. Find the distances from D to the sides of the triangle.
( AD and BC have lines above them but i didn't know the symbol.)
Answer:
nope
Step-by-step explanation:
What do the angles of a triangle add up to? If 2 angles are 34 and 18, what is the third angle?
Answer:
The third angle is 128 degrees
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees, therefore we can set up the equation x+34+18=180 to find the missing angle. Solving the equation gets us x=128
Answer:
Angles of a triangle add up to 180 degrees. The third angle would be 128 degrees.
Step-by-step explanation:
34 + 18 = 52
180 - 52 = 128
If the coefficient of determination for a data set containing 9 points is 1, how
many of the data points must lie on the regression line for the data set?
O A. 9
OB. 8
O C. 6
O D. 7
Answer: A
Step-by-step explanation:
The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model created fits the data. A measure of means that the model explains the entire variation between the two variables without error.
Therefore, in this case, if means that the 9 points are on the line
Answer:
Therefore, in this case, it means that the 9 points are on the line
Step-by-step explanation:
(giving brainly if u helpp mee)
What is static electricity?
A) Build up of electrical charges on the surface of an object
B) Build up of light energy that causes electrical charges to move
C) The flow of electrical charges in a conductor
D) The movement of electrical charges through an insulator
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
**please help me **
Answer:
1470 seconds
Step-by-step explanation:
56=8 seconds
1 second= 56÷8=7
Ans=7×210=1470
The area of a rectangular vegetable garden is 200 feet. The width is 10 feet. What is the length?
Answer:
The length is 20 ft. 10ft times 20ft = 200ft^2
Step-by-step explanation:
PLS MARK AS BRAINLIEST
Answer:
20
Explanation:
200 = 20 x 10
Samuel's lunch account begins with $50 and has $4 taken out each day.
Susie's lunch account begins with $36 and has $3 taken out each day.
Which inequality can be used to find x, how many days the balance in
Samuel's account will be less than the balance in Susie's account?
50 - 4x > 36 - 3x
50 + 4x > 36 + 3x
50 - 4x < 36. 3x
50+ 4x < 36. 3x
Answer:
C. 50 - 4x < 36 - 3x
Step-by-step explanation:
hii can someone help me with this question please
Move AC and BD so that their midpoints coincide. Then draw a polygon through A, B, C, and D to form quadrilateral ABCD. Measure and record the slope of each slide of quadrilateral ABCD
Answer:
look attachment below
Step-by-step explanation:
We find the midpoints of AC and BD and the corresponding coordinates for quadrilateral ABCD.
Midpoint of AC: ( (x₁ + x₃) / 2 , (y₁ + y₃) / 2 )
Midpoint of BD: ( (x₂ + x₄) / 2 , (y₂ + y₄) / 2 )
Then we can measure and record the slopes of each side.
Slope = (y₂ - y₁) / (x₂ - x₁)
Here,
To draw quadrilateral ABCD with the midpoints of AC and BD coinciding, we first need to find the midpoints of AC and BD.
The midpoint of a line segment is the average of the coordinates of its endpoints.
Given points A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄), we can find the midpoints as follows:
Midpoint of AC: ( (x₁ + x₃) / 2 , (y₁ + y₃) / 2 )
Midpoint of BD: ( (x₂ + x₄) / 2 , (y₂ + y₄) / 2 )
Once we have the coordinates of the midpoints, we can connect them to form quadrilateral ABCD.
To measure the slope of each side of quadrilateral ABCD, we need to find the slope of each line segment formed by connecting points A, B, B, C, C, D, and D, A.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
Slope = (y₂ - y₁) / (x₂ - x₁)
Let's assume we find the midpoints of AC and BD and the corresponding coordinates for quadrilateral ABCD. Then we can measure and record the slopes of each side.
To learn more on slope click:
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The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the numbers of tickets that need to be sold.
Answer:
[tex]9.5x+6.5y\geq $800[/tex]
Step-by-step explanation:
9.5 in value of adult tickets. 6.5 is value of children's tickets. combined selling of all of them should be greater than or equal to 800 ("atleast" in the question shows it can be more but cannot be less)
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 7 with
these dice. Be sure to reduce.
?
]
Answer:
[tex]Probability(sum7)=\frac{4}{24}=\frac{1}{6}[/tex]
Step-by-step explanation:
The dice form pairs of outcomes, so if the dice has repeating sides then the set of outcomes will be pairs of elements from the set {1,2,3,4} and {1,3,4,5,6,8}. The number of possible two pair combinations is 4 times 6 which equals 24 possible pairs. Now we find which of these pairs would have values summing up to 7: [tex](1,6),(2,5),(3,4),(4,3)[/tex] So 4 outcomes out of a possible 24 outcomes have this qualityThat's [tex]Probability(sum7)=\frac{4}{24}=\frac{1}{6}[/tex]Answer:
1/6
Step-by-step explanation:
Which describes the transformation shown below
A
B
C
D
Answer:
i think the answer is a to be honest
Step-by-step explanation:
Find the reciprocal of 7/12
PLEASE HELP: Tangent, Sine, or Cosine? Please only answer if you know I genuinely need help. WILL GIVE BRAINLIEST IF CORRECT
Answer:
cosine
Step-by-step explanation:
cos 27=x/20
x=20 cos 27≈17.82