Final answer:
Min's hose will fill up 14 gallons of water if it runs for 2/3 of an hour, based on its rate of 21 gallons per hour.
Explanation:
The question asks us to calculate how many gallons of water Min's hose can pump if it runs for 2/3 of an hour, given that it pumps water at a rate of 21 gallons per hour.
First, we need to find out how much water the hose would pump in one hour and then calculate 2/3 of that amount:
Full capacity in one hour: 21 gallons
Capacity in 2/3 of an hour: (21 gallons) * (2/3) = 14 gallons
So, Min's hose will fill up 14 gallons of water if it runs for 2/3 of an hour.
A cafeteria used 5 gallon of milk in preparing lunch. How many 1-quart containers of milk did the cafeteria use?
Answer:
20 quarts of milk used
Step-by-step explanation:
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷since there are 4 quarts in a gallon, you have 20 quarts.
There are four quarts in a gallon, so you times 4 and 5. The result you get is 20 quarts.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
URGENT!!! Write the product as a sum or difference.
6cos(21t)sin(20t)
Select the correct answer below:
3cos(t)−3cos(41t)
3sin(41t)−3sin(t)
3sin(t)−3cos(41t)
3cos(41t)−3sin(t)
3cos(41t)+3cos(t)
3sin(41t)+3sin(t)
Answer:
3 sin(41t) - 3 sin(t)
Step-by-step explanation:
The general formula to convert the product of the form cos(a)sin(b) into sum is:
cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]
The given product is:
6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]
Comparing the given product with general product mentioned above, we get:
a = 21t and b = 20t
Using these values in the formula we get:
6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]
= 3 [sin(41t) - sin(t)]
= 3 sin(41t) - 3 sin(t)
Therefore, second option gives the correct answer
Factor completely.
x2−8x+15
Do not include any spaces in your answer. Use parentheses to separate your factors. A sample answer might be (x+1)(x-4).
Question 5 options:
The answer is :
(x+5)(x+3)
Jodi colors4 sections. Then she colors 3 more sections. Which two of these represent the fraction of the rectangle that jodi colors in all?
When she adds to the original four sections by coloring three more, it represents the total colored sections.
Answer:
A. 4/8+3/8
E. 1/8+1/8+1/8+1/8+1/8+1/8+1/8
Step-by-step explanation:
Select the two correct answers:
A. 4/8+3/8
B. 4+3
C. 8/4+8/3
D. 1/8+3
E. 1/8+1/8+1/8+1/8+1/8+1/8+1/8
Q. Jace is thinking of a number greater than 3.145 but less than 3.146. What number could he be thinking of and explain?
He could be thinking of any number between 3.1451 and 3.1459
Last week byron bought 5 containers of yogurt and spent 12.88 on other groceries this week Cassandra bought 3 containers if the same yogurt and spent 11.50 on the other groceries how much more money did byron spent than Cassandra?
Answer:1.33
Step-by-step explanation:
Byron spent $1.38 more than Cassandra on other groceries, as we subtracted Cassandra's spending ($11.50) from Byron's ($12.88) to determine the difference.
The question asks us to determine how much more money Byron spent compared to Cassandra on their grocery shopping. To find this out, we need to compare the total amount of money each person spent. We have the cost of other groceries for each person, but the cost of yogurt is not given. To solve this problem, we just need to compare the cost of other groceries since that is the only information provided.
Byron spent $12.88 on other groceries.
Cassandra spent $11.50 on other groceries.
To find out how much more Byron spent, we subtract Cassandra's total from Byron's total:
$12.88 - $11.50 = $1.38
Therefore, Byron spent $1.38 more than Cassandra on other groceries.
Angle 1 and angle 2 are complementary the measure of angle 2 is 15 degrees less than twice the measure of angle 1 what is the measure of each angle plz help me
The measure of Angle 1 is 35 degrees and the measure of Angle 2 is 55 degrees.
Explanation:When two angles are complementary, their measures add up to 90 degrees. Let's define these two angles as follows: Angle 1 = x and Angle 2 = 2x - 15 (since it is 15 degrees less than twice the measure of Angle 1). You set up an equation based on the fact that the two angles add up to 90 degrees: x + 2x - 15 = 90. Solving this equation, you get 3x = 105, so x = 35. Thus, Angle 1 = 35° and Angle 2 = 2(35) - 15 = 55°.
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The sum of three numbers is 83. The second number is 5 less than the first. The third number is 2 times the first. what are the numbers
Answer:
22, 17, and 44.
Step-by-step explanation:
So what you do is you will have three equations that we will put together.
1. x. The first number is x because they don't give us anything about it.
2. x-5. It says that the second number is 5 less than the first number.
3. 2x. It says that the third number is 2 times the first number.
x+x-5+2x=83.
4x-5=83.
4x=88.
x=22.
That is the first number. To find the second and third, you will plug 22 into the x.
2. 22-5=17.
3. 2(22)=44.
22, 17, 44 are your answers.
Final answer:
By setting up equations based on the information provided, we solved for x as the first number and then used it to determine the other two numbers. The three numbers are 22, 17, and 44.
Explanation:
The sum of three numbers is 83. This is the first equation we'll use to solve the problem. Let's denote the first number as x. According to the question, the second number is 5 less than the first, which gives us the second equation y = x - 5. For the third number, it is given as 2 times the first, hence the third equation is z = 2x.
Now, we'll combine all three equations to express the sum:
x + (x - 5) + 2x = 83
Simplifying, we combine like terms:
4x - 5 = 83
Adding 5 to both sides gives us:
4x = 88
Dividing by 4, we find the first number:
x = 22
Now we'll use x to find the other two numbers:
y = 22 - 5 = 17
z = 2 × 22 = 44
Therefore, the three numbers are 22, 17, and 44.
x+y=70
65x+15y=2400
solve by substitution
please show work very important thank you so much
The solution is
x = 27 and y = 43
Step-by-step explanation:See the image
the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtain more than 75 marks and 20% of them obtained less than 40 marks. find the value of μ and σ
Mean (μ) ≈ 53.84, Standard deviation (σ) ≈ 16.51.
To solve this problem, we can use the properties of the normal distribution and the given information about the percentage of students scoring certain marks.
Let's denote the mean as μ and the standard deviation as σ. We know that in a normal distribution:
1. 10% of the students score more than 75 marks.
2. 20% of the students score less than 40 marks.
To find the values of μ and σ, we'll utilize the standard normal distribution table (Z-table), which provides the cumulative probabilities for a standard normal distribution (mean = 0, standard deviation = 1). Then we'll apply the z-score formula to convert these values to the corresponding marks in our distribution.
Let [tex]\( Z_{75} \)[/tex] be the z-score corresponding to 75 marks, and [tex]\( Z_{40} \)[/tex] be the z-score corresponding to 40 marks.
From the standard normal distribution table:
1. The z-score corresponding to the 90th percentile (10% above) is approximately [tex]\( Z_{75} = 1.28 \)[/tex] .
2. The z-score corresponding to the 20th percentile (20% below) is approximately [tex]\( Z_{40} = -0.84 \)[/tex].
The z-score formula is:
[tex]\[ Z = \frac{{X - \mu}}{\sigma} \][/tex]
where:
- [tex]\( X \)[/tex] is the raw score (marks)
- [tex]\( \mu \)[/tex] is the mean
- [tex]\( \sigma \)[/tex] is the standard deviation
Using the z-score formula, we can write two equations based on the given percentiles:
1. For 75 marks:
[tex]\[ 1.28 = \frac{{75 - \mu}}{\sigma} \][/tex]
2. For 40 marks:
[tex]\[ -0.84 = \frac{{40 - \mu}}{\sigma} \][/tex]
Now, we have two equations with two unknowns [tex](\( \mu \) and \( \sigma \))[/tex], we can solve them simultaneously to find the values of [tex]\( \mu \) and \( \sigma \)[/tex].
From equation 1:
[tex]\[ 1.28\sigma = 75 - \mu \][/tex]
[tex]\[ \mu = 75 - 1.28\sigma \][/tex]
From equation 2:
[tex]\[ -0.84\sigma = 40 - \mu \][/tex]
[tex]\[ \mu = 40 + 0.84\sigma \][/tex]
Now, equating the expressions for [tex]\( \mu \)[/tex] :
[tex]\[ 75 - 1.28\sigma = 40 + 0.84\sigma \][/tex]
Solving for [tex]\( \sigma \)[/tex] :
[tex]\[ 1.28\sigma + 0.84\sigma = 75 - 40 \][/tex]
[tex]\[ 2.12\sigma = 35 \][/tex]
[tex]\[ \sigma[/tex] ≈ [tex]\frac{35}{2.12}[/tex]
[tex]\[ \sigma[/tex] ≈ [tex]16.51[/tex]
Now that we have [tex]\( \sigma \)[/tex], we can find [tex]\( \mu \)[/tex] using one of the equations for [tex]\( \mu \)[/tex]:
[tex]\[ \mu = 75 - 1.28 \times 16.51 \][/tex]
[tex]\[ \mu[/tex] ≈ [tex]75 - 21.16[/tex]
[tex]\[ \mu \approx 53.84 \][/tex]
So, the values of [tex]\( \mu \) and \( \sigma \)[/tex] are approximately 53.84 and 16.51, respectively.
Hodaya is drawing a map of the trials in the canyon near her house. She knows that the distance from the first creek crossing to the second creek crossing is 1.8 miles. If every 3 inches on the map represents 0.75 of a mile, how far apart will the two creek crossing be on the map, to the nearest tenth of an inch.
Answer:
It would roughly be 7 inches and 1/5 of an inch.
I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
Step-by-step explanation:
Two creek crossings are separated by distance A = 7.2 inches on the map.
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
The information is ,
Let's say the equation looks like this: A
Right now, A is valued at
The two stream crossings' separation is indicated on the map as A.
And on the chart, 3 inches equals 0.75 miles, therefore the distance between the two stream crossings is 1.8 miles.
hence, 3 / 0.75 inches Equals 1 mile.
In the map, 1 mile equals 4 inches after simplifying the calculation.
The two creek crossing's distance on the map is therefore equal to 1.8 x 4.
The two stream crossings will be separated by 7.2 inches on map A.
Hence, the distance on the map is 7.2 inches.
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We are given a table that displays the current value of search engine giant Google. Using the table below, determine the closing price of Google’s stock the previous day.
a.
$342.64
c.
$336.36
b.
$335.00
d.
$348.92
Answer:
c
Step-by-step explanation:
The correct option is c. $336.36. The previous day's closing price of stock was:c. $336.36.
To determine the closing price of stock the previous day, we need to use the information provided in the table. The table shows the net change (Chg) in the stock price and the current closing price (Close). The net change is the difference between the current closing price and the previous day's closing price.
From the table:
- Current closing price (Close): $342.64
- Net change (Chg): $6.28
Since the net change represents the increase in the stock price from the previous day to the current day, we can calculate the previous day's closing price by subtracting the net change from the current closing price.
[tex]\[\text{Previous day's closing price} = \text{Current closing price} - \text{Net change}\][/tex]
[tex]\[\text{Previous day's closing price} = 342.64 - 6.28 = 336.36\][/tex]
Therefore, the previous day's closing price of stock was:
c. $336.36
La suma de dos números es 27
. Un número es 2
veces tan grande como el otro. ¿Cuáles son los números?
Answer:
Step-by-step explanation:
2x = 27
Your friend pulls out a huge home baked pizza from the oven and tells you the area is a=625(pi)cm2. What is the diameter of this pizza
Answer:
Diameter = 50 cm
Step-by-step explanation:
We are given that the area of a home bakes pizza is [tex] 6 2 5 \pi cm ^ 2[/tex].
Here, we are assuming that the pizza is circular and we know that the area of a circle is given by: [tex]\pi r^2[/tex]
So equating the given value to find the value of the diameter.
[tex]\pi r^2[/tex] [tex]=625\pi[/tex]
[tex]r^2=625[/tex]
[tex]r=\sqrt{625}[/tex]
[tex]r=25[/tex]
If the radius is 25 cm, then diameter = 25 × 2 = 50 cm
Answer:
The diameter of the pizza= 50 cm
Step-by-step explanation:
Points to remember
Area of circle = πr²
Where r is the radius of circle
It is given that, area of pizza is 625π cm²
A pizza is like a circle.
Find the radius of pizza
Area = πr²= 625π cm²
r² = 625π/π = 625
r = √625 = ±25
radius r = 25cm
To find the diameter of pizza
Diameter = 2r = 2 * 25 = 50 cm
Express 17.16 as a mixed number in lowest terms
Answer:
The answer is 17 1/6 you didnt notice the little line above the six you techniclly just convert the decimal to a fraction i had this on my lesson it tricked me to
Step-by-step explanation:
Which algebraic expression is a polynomial?
Answer:
B
Step-by-step explanation:
Answer:
Option 2 - [tex]-6x^3+x^2-\sqrt5[/tex]
Step-by-step explanation:
To find : Which algebraic expression is a polynomial?
Solution :
Polynomial is defined is the expression consisting of several terms with variable and constant.
Polynomial is always positive not a negative exponential.
Option 1 - [tex]4x^2-3x+\frac{2}{x}[/tex]
This is not a polynomial because it has a negative exponent.
Option 2 - [tex]-6x^3+x^2-\sqrt5[/tex]
This is a polynomial by definition.
Option 3 - [tex]8x^2+\sqrt x[/tex]
This is not a polynomial as [tex]\sqrt x[/tex] is not considerable.
Option 4 - [tex]-2x^4+\frac{3}{2x}[/tex]
This is not a polynomial because it has a negative exponent.
Therefore, Option 2 is correct.
The graph represents function 1, and the equation represents function 2: Function 1 A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3. Function 2 y = 5x + 4 How much more is the rate of change of function 2 than the rate of change of function 1? 2 3 4 5
Answer its 5
Step-by-step explanation:
look it up theirs others with this question :)
Answer:
D. 5
Step-by-step explanation:
got it right n the test
Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point.
Answer:
A and B
Step-by-step explanation:
Parallel lines are lines which have the same slope. Perpendicular lines have negative reciprocal slopes.
For the options:
A. Both equations have 7/5 as the slope. They are parallel.
B. The slopes are 1 and -1. These are perpendicular.
C. The slopes are 9/2 and are parallel.
D. The slopes are 7/3 and -3/7. They are perpendicular.
The solution is A and B.
Jayla buys and sales
Answer:
There is no question
Step-by-step explanation:
I need help pls...???
Answer:
x < 61
Step-by-step explanation:
Given
x + 12 < 73
Isolate x on the left side by subtracting 12 from both sides
x < 63 ← is the solution
I don’t know how to start it.
Answer:
36°
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A:∠B:∠C = 8:10:12 = 8x:10x:12x
8x + 10x + 12x = 180
20x = 180
x = 9
∠A = 8x = 8 × 9 = 72°
∠B = 10x = 10 × 9 = 90°
∠C = 12x = 12 × 9 = 108°
∠C - ∠A = 108 -72 = 36 °
The difference between the largest and the smallest angle is 36°.
Ty is painting a rectangle that is 10 inches long and 7 inches high. What attributes of a rectangle can you share with Ty to help him paint his rectangle?
A rectangle is a quadrilateral with four 90-degree angles. The opposite sides are equal, with two sides being the length (10 inches) and the other two being the width (7 inches).
Explanation:Ty, when painting a rectangle, it's important to understand its attributes. A rectangle is a quadrilateral, meaning it has four sides. Two of these sides will be 10 inches long, and the other two will be 7 inches high - these are referred to as the 'length' and 'width'. Additionally, all interior angles of a rectangle are 90 degrees, which is a right angle. So when you are painting, make sure each corner forms a 90-degree angle. Also, the opposite sides of a rectangle are always equal. If any of these attributes are not followed, the figure will not be a rectangle.
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What is 20 % of 275
Answer:
55
Step-by-step explanation:
So first of all I would convert the 20% to a decimal by dividing by 100 and you get 0.2
Then multiply 0.2 and 275 together and you get 55
If you are unsure on an answer, a way to quickcheck is setting the answer over your total
55
-------- = 0.2 ⇒ which equals 20%
275
Answer: 55
Step-by-step explanation:
First, find 10% of 275 (move the decimal place back once).
We now have 27.5.
Now, multiply 27.5 by 2 because we are finding 20%
So, 27.5 x 2= 55
In order to solve x 2 + 12 x = 2 by completing the square, what value must be added to both sides?
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 2
In order to complete the square we need to add ( b/2)^2 to each side where b is the coefficient of the x term
b=12
12/2 = 6
6^2 = 36
We need to add 36 to each side
PLS HELP!!
A circle is centered at point (-7,-1) and passes through the point (8,7).
The radius of the circle is _____ units. The point (-15,___) lies on this circle.
Answer:
Part 1) The radius of the circle is [tex]17\ units[/tex]
Part 2) The points (15,14) and (-15,-16) lies on this circle
Step-by-step explanation:
Part 1
we know that
The distance between the center of the circle at point (-7,-1) and the point (8,7) is equal to the radius of the circle
so
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
substitute the values
[tex]r=\sqrt{(7+1)^{2}+(8+7)^{2}}[/tex]
[tex]r=\sqrt{(8)^{2}+(15)^{2}}[/tex]
[tex]r=\sqrt{289}}[/tex]
[tex]r=17\ units[/tex]
Part 2
we know that
If the point (-15,y) lies on the circle, then the ordered pair must be satisfy the equation of the circle
The equation of the circle is equal to
[tex](x+7)^{2}+(y+1)^{2}=17^{2}[/tex] -----> equation of the circle in center radius form
substitute the value of x=-15 in the equation and solve for y
[tex](-15+7)^{2}+(y+1)^{2}=289[/tex]
[tex]64+(y+1)^{2}=289[/tex]
[tex](y+1)^{2}=289-64[/tex]
[tex](y+1)^{2}=225[/tex]
[tex]y+1=(+/-)15[/tex]
[tex]y=-1(+/-)15[/tex]
so
[tex]y=14[/tex]
[tex]y=-16[/tex]
therefore
The points (15,14) and (-15,-16) lies on this circle
see the attached figure to better understand the problem
Answer:
Part 1) The radius of the circle is
Part 2) The points (15,14) and (-15,-16) lies on this circle
Step-by-step explanation:
Would you use more centimeters or meters to measure the length of a car? Explain.
Answer:
Meters
Step-by-step explanation:
Because centimeters are to small to be a reasonable measurement for a car so you would have to use meters
What is 3/5+3/10 as a fraction
Answer:
9/10
Step-by-step explanation:
convert 3/5 to 6/10
6/10+3/10=9/10
The value of fraction will be;
⇒ 9/10
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ 3/5 + 3/10
Now,
Since, The fraction is,
⇒ 3/5 + 3/10
Solve as;
⇒ 3/5 + 3/10
⇒ 6/10 + 3/10
⇒ (6 + 3) / 10
⇒ 9 / 10
Thus, The value of fraction = 9/10
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23.8 is 10% of what amount
10% × 23.8 =
(10 ÷ 100) × 23.8 =
(10 × 23.8) ÷ 100 =
238 ÷ 100 =
2.38
Proof
2.38 ÷ 23.8 =
0.1 =
0.1 × 100/100 =
0.1 × 100% =
(0.1 × 100)% =
10%
Answer:
238
Step-by-step explanation:
Question: Find 10% of 238.
Answer: 10% of 238 is 23.8.
Explanation
STEP 1: 1% of 238 = 238100=2.38
STEP 2: 10% of 238 = 10⋅2.38=23.8
Explanation 2:
STEP 1: Write 10% as a decimal number: 10%=10100=0.1
STEP 2: Multiply 0.1 by 238: 0.1⋅238=23.8
Result
Question: The number 238 is 10% of what number?
Answer: The number 238 is 10% of 2380.
Explanation
STEP 1: Write 10% as a decimal number:
10=10100=0.1
STEP 2: Divide 238 by 0.1:
2380.1=2380
The members of a track team ran laps around their school. They ran a total of 6 3/4, each lap was 7/8 miles long. How many laps did they run?
Answer:
[tex]7\frac{5}{7}\ laps[/tex]
Step-by-step explanation:
we know that
To find out how many laps they ran, divide the total distance by the distance of one lap
step 1
Convert the total distance from mixed number to an improper fraction
[tex]6\frac{3}{4}\ mi=\frac{6*4+3}{4}=\frac{27}{4}\ mi[/tex]
step 2
Find the number of laps
[tex]\frac{(27/4)}{(7/8)}=\frac{54}{7}\ laps[/tex]
step 3
Convert the number of laps to mixed number
[tex]\frac{54}{7}=\frac{49}{7}+\frac{5}{7}=7\frac{5}{7}\ laps[/tex]
Can anyone help me please?
Which expression can be used to find the area of a circle with a diameter of 30 cm?
a. π • 30
b. 2 • π • 15
c. π • 30^2
d. π • 15^2
Answer:
its b
Step-by-step explanation:
Answer:
2 × pi or (π) × 15 = 30 cm
Step-by-step explanation: