Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.
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Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
After how many minutes will the two pools have the same amount of water? 36 min.
How much water will be in each pool when they have the same amount? 2638 liters.
Explanation:
y=1900+20.5x
y=1351+35.75x
Let the time be t
[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]
[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]
[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]
[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]
[tex]\\ \sf\longmapsto t=2.9h[/tex]
Guys what's 1 9/15+ 1 5/15
Answer:
2 14/15. answer need to be 20
pleasee help meeeeeee
Step-by-step explanation:
we mulyiply 3*1 =x-7
3=x-7
-x= -7-3
-x= -11 so when we divide -11 by -x it becomes 11
What are the steps for solving and graphing 2x - 3y = 9?
please help!
Answer:
Step-by-step explanation:
which number line represents the solution of 1 - 2x ≥ 3
Answer:
Number line D
Step-by-step explanation:
1 - 2x ≥ 3
Subtraact 1 from both sides
-2x ≥ 2
Multiply both sides by -1
When multiplying by a negative the inequality is reversed
2x ≤ -2
Divide both sides by 2
x ≤ -1
Number line D
How do you find out if angle A is a right angle?
Answer:
Calculate the distance of AB, AC and BC. Then use the pythagorean theorem to see if AB^2 + AC^2 = BC^2
If it does, angle A is a right angle.
Helen counted six dollars and four cents in her purse. She recorded this amount in decimal form as $6.40. Did she record it correctly? If she made a mistake, what is the correct way
to record this amount of money as a decimal?
Pls answer will give brainiest
Answer:
6 dollars and 4 cents
Step-by-step explanation:
ends of diameter: (9, 15) and (15, 7)
(
x
−
12
)
2
+
(
y
−
11
)
2
=
25
What is the perimeter of the shape below?
3 cm
4 cm
8 cm
4 cm
Answer:
:D
Step-by-step explanation:
it is 19 cm
What is 2x=6 pls answer fasttt
Answer:
×=6/2=3
Step-by-step explanation:
Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth
Answer:
64.53
Step-by-step explanation:
56.213 rounds to 56.21
7.983 rounds to 7.98
0.344 rounds to 0.34
Next you do 56.21 + 7.98 + 0.34 = 64.53
All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.
Here the numbers are,
56.213
Since the value in the thousandth place is 3 which is less than 5.
Hence round the number down.
56.21
7.983
Since the value in the thousandth place is 3 which is less than 5.
Hence round the number down.
7.98
0.344
Since the value in the thousandth place is 4 which is less than 5.
Hence round the number down.
0.34
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A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month all of their patients lost at8lb least . Last month more than half of their patients lost at least 8lb. Last month some of their patients lost more than4lb . Last month at least one of their patients lost exactly 8lb. Two months ago some of their patients lost at least 8bl. None of the above statements are true.
Answer:
Given:
A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs
Average refers to mean
a. Last month all of their patients lost at least 8 lbs.
Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False
b. Last month at least one of their patients lost exactly 8 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.
c. Two months ago some of their patients lost at least 8 lbs.
Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.
d. Last month at least one of their patients lost less than 3 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.
e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.
Answer: Mean is a measure of central tendency which is computed by the diving sum of all observations with the number of all observations (the sum of observations lesser than the mean is compensated by the sum of observations greater than the mean) and for the mean equal to 8lbs, there should be an equal number of people who lost less than 8 lbs and the number of people who lost more than 8 lbs. Hence, this statement is True.
Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True
the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
Based on the information provided, we can make the following conclusions:
1. Last month, all of their patients lost at least 8 lb. (This statement is true since the average refers to the mean, and the average weight loss was 8 lb. Therefore, all patients must have lost at least 8 lb.)
2. Last month, more than half of their patients lost at least 8 lb. (This statement is true since the average weight loss was 8 lb, which means that at least half of the patients must have lost 8 lb or more. As the average is pulled up by higher values, more than half should have achieved at least 8 lb weight loss.)
3. Last month, some of their patients lost more than 4 lb. (This statement is true since the average weight loss was 8 lb. If the average is 8 lb, then there must be patients who lost more than that, and losing more than 4 lb is definitely possible.)
4. Last month, at least one of their patients lost exactly 8 lb. (This statement is true since the average weight loss was 8 lb. For the average to be exactly 8 lb, at least one patient must have lost exactly 8 lb.)
5. Two months ago, some of their patients lost at least 8 lb. (There is no information provided in the given data to make any claims about weight loss two months ago, so we cannot conclude this statement based on the information given.)
So, the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
The statement "Two months ago some of their patients lost at least 8 lb" cannot be determined from the given information, so it is not necessarily true or false based on the data provided.
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Which statement about the slope of a line is true?
A line with a negative slope increases as it is viewed from left to right.
A line with a positive slope increases as it is viewed from left to right.
A line with a positive slope decreases as it is viewed from left to right.
Answer:
B) A line with a positive slope increases as it is viewed from left to right.
Step-by-step explanation:
A line with a positive slope increases as it is viewed from left to right.
A positive slope means that as a line on the line graph moves from left to right, the line rises.
Hope this helps :)
Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is[tex]a = 6 \frac{2}{3} [/tex]
Hope you could get an idea from it.
Doubt clarification - use comment section.
3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?
Answer:
93.84
Step-by-step explanation:
I think I'm not sure
if tan2
x = 3 then value of
x is
Answer:
If tan2 x = 3 then the value of x is 3. So three is your answer!
Step-by-step explanation:
What are the coordinates of point P' if point P(3, -4) is reflected over the line y = x? *
Answer:
(4,3)
Step-by-step explanation:
please mark as brainliest if correct
thank you
19NBoli
Please take a look at the picture
Mrs. sanders is bringing colored marshmallows to school so her students can do a graphing experiment. she has 25 students. if she gives each student 1/2 cup of marshmallows , how many cups of marshmallows will she need to bring to class?
Answer:
25 x 1/2 = 12.5
12 1/2 cups
Pleas someone help me with this it's my last question
Answer:
we need to find out if the following get x = 2 as a final product
-2(x-4) = 4
-2x + 8 = 4
-2x = -4
x = 2
so it is a solution
26/x = 13
26 = 13x
x = 26/13
x = 2
so it’s a solution
-3.8x = -7.4
x = 7.4/3.8 ≠ 2
you get ≈ 1.95
so it’s not a solution
4(x-1) - 3(x-2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -10
so it’s not a solution
Answer:
x= 2 is the solution of first two equations.
Step-by-step explanation:
The diameter of the smallest visible particle is 0.0002 in. Express this number in scientific notation.
Answer:
Diameter = 2 × [tex]10^{-4}[/tex] inches
Step-by-step explanation:
Given the diameter of the smallest visible particle, 0.0002 inches, we can express this into the following scientific notation: 2 × [tex]10^{-4}[/tex] inches.
In expressing decimal forms into scientific notation, the goal is to move the decimal point towards the right, until there is only one non-zero digit remaining towards the left-side of the decimal point. In this case, it will take 4 units towards the right of the sole non-zero digit, which is 2. Moving the decimal point towards the right means that 10 will have a negative exponent.
Therefore, the scientific notation of 0.0002 inches is 2 × [tex]10^{-4}[/tex] inches.
Answer:
2·[tex]10^{-4}[/tex]
Step-by-step explanation:
A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than he made the trip. Find the average speed of his trip.
The average speed of his trip is = 12 mile/ hour
The total distance covered by the driver = 240 miles
The rate at which he traveled = 12 miles per hour
Therefore, the time he used to cover his distance
= 240/12
= 20 hrs
But average speed = distance/ time
= 240/ 20
= 12 miles/ hour
Therefore, the average speed of his trip is = 12 mile/ hour
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Write a linear function f give f(0)=2 f(3)=-1
Answer:
f(x) = ax + b,
Step-by-step explanation:
Am Not Really Sure About The Answer, So Pls Try And Cross Check It
Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?
Answer:
bradley is 50 and madison is 23
Step-by-step explanation:
m + 27 = b
(b - 7) + (m - 7) = 59
[(m + 27) - 7] + (m - 7) = 59
m + 20 + m -7 = 59
2m + 13 = 59
2m = 46
m = 23, b = 23 + 27 = 50
: The cost of 30 sandwiche rolls at $1.50 per dozen is a. $3.00 b. $3.45 c. $3.75 d. $4.50 e. $4.80
Step-by-step explanation:
their are total 12 sandwiche rolls in a dozen so,
price of 12 sandwiche rolls are $1.50
so, cost of 1 sandwich roll = 1.50/12 = $0.125
now,
cost of 30 sandwich rolls = 30 × 0.125 = $3.75
therefore, option C is correct.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Encuentra las coordenadas del punto P(x,y) que divide al segmento P1P2 con coordenadas
de sus extremos P1(x1,y1) y P2(x2,y2) dada la razón r.
P1(-1,6) P2(3,-3) r = ¾
Usando segmentos de línea, se encuentra que el punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]
El punto P1 es dado por (-1,6).El punto P2 es dado por (3, -3).El punto P divide el segmento en la razón [tex]r = \frac{3}{4}[/tex], o sea:
[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]
La coordenada x de P1 es -1.La coordenada x de P2 es 3.La coordenada x de P es x.[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]
[tex]x + 1 = 3[/tex]
[tex]x = 2[/tex]
La coordenada y de P1 es 6.La coordenada y de P2 es -3.La coordenada y de P es y.[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]
[tex]y - 6 = -\frac{27}{4}[/tex]
[tex]y = -\frac{27}{4} + \frac{24}{4}[/tex]
[tex]y = -\frac{3}{4}[/tex]
El punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]
Un problema similar es dado por https://brainly.com/question/4854238
Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?
Answer:
95% of 80 is 76 and 85% of 60 is 51.
Step-by-step explanation:
Answer:
a. 76, b. 60.
Step-by-step explanation:
a) 80 * 0.95 = 76.
b) 0.85 x = 51
x = 51/0.85 = 60.
The low temperatures in December at each of three locations are shown.
Location 1: 18°F
Location 2: –5°F
Location 3: –22°F
Choose each statement that is both true and correctly justified based on this information.
(A) Because 18 < –22, it was colder, on average, at Location 3 than at Location 1.
(B) Because 18 < –22, it was warmer, on average, at Location 3 than at Location 1.
(C) Because –22 < 18, it was colder, on average, at Location 3 than at Location 1.
(D) Because –22 < 18, it was warmer, on average, at Location 3 than at Location 1.
(E) Because –22 < –5, it was warmer, on average, at Location 2 than at Location 3.
Answer:
According to me answer is option C and E
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A triangle has side lengths of (9d+ 4) centimeters, (9d + 2) centimeters, and (3f - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Perimeter is the sum of the 3 sides.
Add the 3 sides together by combining like terms.
9d +4 + 9d+2 + 3f -2
9d+9d = 18d
4 + 2-2 = 4
Combining like terms you get:
18d +3f +4
F(x)=x^2. What is g(x)?
A. G(x)=-x^2
B. G(x)=-2x^2
C. G(x)=-x^2-2
D. G(x)=x^2-2
[tex] - x ^{2} - 2 = gx[/tex]