Anouk has two dispensers that can each hold 1.25 liters. She fills them with liquid hand soap from a store that charges $0.19 for every 50 milliliters of soap.
How much does it cost Anouk to fill both of her dispensers with hand soap?
Enter your answer in the box.
Answer:
$4.75
Step-by-step explanation:
1milliliter = 1mL = 1.0*10^-3L
50mL = 50*10^-3L = 0.05L.
But 0.05L costs $0.19 to refill,
How much will 1.25L cost?
0.05L = 0.19
1.25 = x
X = (1.25*0.19) / 0.05
X = $4.75
It will cost her $4.75 to refill 1.25L of soap
Answer:
$9.5
Step-by-step explanation:
Each dispenser holds 1.25 liters, so we have a total of 1.25*2 = 2.5 liters to be filled.
Each 50 milliliters of soap, that is, 0.05 liters, costs $0.19, so we can solve now using a rule of three:
0.05 liters of soap -> $0.19
2.5 liters of soap -> X
0.05/2.5 = 0.19/X
X = 2.5*0.19/0.05 = $9.5
It will cost $9.5 to fill both dispensers with soap.
A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
Answer:
8/27
Step-by-step explanation:
The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.
Explanation:The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.
However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.
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Jason empties his piggy bank and counted out exactly $10 in nickels, dimes and quarters. There were twice as many dimes as Nickels. There were twice as many quarters as dimes. How many nickels did they have ?
Answer:
8 nickels
Step-by-step explanation:
Total Amount of Money owned by Jason=$10
1 nickel =$0.05
1 dime=$0.10
1 quarter =$0.25
Let the number of dimes =dLet the number of nickels =nLet the number of quarters =qIf there were twice as many dimes as Nickels, then:
d=2nAlso, there were twice as many quarters as dimes.
q=2dTherefore:
0.1d+0.05n+0.25q=100
Substituting d=2n and q=2d into the above relations
0.1(2n)+0.05n+0.25(2d)=10
0.2n+0.05n+0.25(2(2n))=10
0.2n+0.05n+1n=10
1.25n=10
n=8
q=2d=2X16=32
d=2n=2X8=16
Jason had 8 nickels
Suppose that the probability that a person will die in the next 20 years is
17.5452%. If this person has a life insurance policy that will pay out $25,000
to the beneficiaries of the policy if the person dies in the next 20 years, what
is the premium of the policy? Assume that the administrative costs of the
policy amount to $65.
O A. $4450.50
O B. $4581.30
O C. $25,000
O D. $4523.89
Answer: $4450.50
Step-by-step explanation:
Just guessed and got it right
The premium of the policy will be $4451.3.
What is Insurance?A person or organisation and an insurance company enter into a contract known as insurance whereby the person or organisation pays the insurance company a premium in exchange for financial protection or reimbursement in the case of an unanticipated loss or event. Up to the limitations outlined in the insurance policy, the insurance company promises to pay for any covered losses or damages. Insurance can be used to guard against a range of hazards, such as liability, property damage, death, and injury.
The premium of the policy can be calculated as:
Premium = (Probability of death x Benefit amount) + Administrative costs
So,
Premium = (0.175452 x 25000) + 65
Premium = 4,386.3 + 65
Premium = $4,451.3.
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Martin solved an equation, as shown below: Step 1: 19v = 76 Step 2: v = 76 - 19 Step 3: v =57 Part A: Is Martin's answer correct or incorrect? If it is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points) Part B: How many solutions will this equation have? (4 points)
Answer:
A. incorrect. He has to divide 76 by 19, instead of subtract 19 to 76.
B. This equation has one solution. v=4
Step-by-step explanation:
Hi, Martin’s answer is incorrect.
A. He has to divide 76 by 19, instead of subtract 19 to 76.
The correct steps are:
19v = 76
Since 19 is multiplying the variable, to eliminate it we have to divide by 19.
v = 76/19
v = 4
B. This equation has one solution. It’s v=4
Feel free to ask for more if needed or if you did not understand something.
Emilia and Sydney went out to dinner. The bill came to $24. They want to leave a 20% tip and split the bill. How much do they each pay?
Answer:
$9.6
Step-by-step explanation:
tip $24×20% = 24×20/100 = 480/100 = $4.8
How much do they each pay ?
($24 - $4.8) : 2 = $19.2 : 2 = $9.6
The base and height of a parallelogram must be perpendicular.
True
False
Answer:
True because no matter what angle or what parallelogram they are equal
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
John and Tyrone each go for a morning jog before work. John's jogging
pace is represented by the equation y=5x, where y is the number of
miles he jogs and x is the number of hours he jogs. Tyrone's pace is
given by the graph. Choose the statement that correctly compares their
unit rates.
The question asks to compare the unit rates of two joggers, John and Tyrone. John's unit rate is 5 miles per hour, as indicated by the equation y=5x. Without Tyrone's graph data, a direct comparison cannot be made.
Explanation:The subject of the question involves comparing unit rates of two joggers, which requires an understanding of linear equations and graph interpretations in mathematics. Based on the given information, John's jogging pace is defined by the linear equation y=5x, where y is the number of miles he jogs and x is the number of hours he jogs. This equation suggests that John's unit rate, or his speed, is 5 miles per hour. However, to compare John's unit rate to Tyrone's, we need additional information about the slope of Tyrone's graph, which represents his speed.
Without the specific graph or a defined equation for Tyrone's pace, we can't make a direct comparison. Typically, the unit rate for a jogger is found by taking the slope of the position vs. time graph, which involves dividing the change in position (the rise) by the change in time (the run). If the slope of Tyrone's graph were provided, we could determine his speed and compare it to John's.
Remember, the unit rate is a measure of how much of something occurs per unit of another thing. In this case, it's the speed at which each jogger moves per hour. If additional data from Tyrone's graph were given, we would look for a constant rate of change or identify two points on the graph to calculate the slope (speed) and thus compare the unit rates of the two joggers.
3.24 as a simplified fraction with 4 repeating
3.24 as a simplified fraction with 4 repeating is 146/45.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Let x represent the value of the number.
So,
x= 3.2[tex]\bar4[/tex]
Multiplying both side by 10 we get
10x = 32.44...
Subtracting both above equations
10x -x = 32.44..-3.244..
9x= 29.2
x= 29.2/ 9
x= 146/45
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Final answer:
3.24 with the digit 4 repeating can be converted into the simplified fraction ⅔, which is equivalent to 3 ½.
Explanation:
The student is asking how to express the decimal 3.24 with the digit 4 repeating as a simplified fraction. The repeating decimal can be represented as 3.244444... or 3.24 bar.
To convert this repeating decimal to a fraction, we first denote x = 3.24. To eliminate the repeating part, we can multiply x by 100 to shift the decimal two places to the right, getting 100x = 324.44. Then, we subtract the original equation from this new equation (100x - x) to remove the repeating decimal. This results in 99x = 321, which simplifies to x = ⅔ or x = 3 ½ in fraction form. Therefore, 3.24 bar as a simplified fraction is ⅔.
Please Help
The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cube and need to know how many square units of paint to purchase. If each face has side length s, then the formula S = 6s2 can be used to find the surface area of the cube. The length of a side is indicated in the cube below( s = x - 5). The surface area of the cube is 1944 units2.
What is the value of x? SHOW and EXPLAIN each of the steps you used to solve
Answer:
23
Step-by-step explanation:
-The length of the cubes side is (x-5) and the total surface area is 1944 sq units.
-We apply the formula for surface area and equate to solve for x:
[tex]A=6s^2\\\\1944=6(x-5)^2\\\\324=(x-5)^2\\\\324=x^2-10x+25[/tex]
#Equate to zero as below:
[tex]324=x^2-10x+25\\\\x^2-10x+25-324=0\\\\x^2-10x-299=0\\\\\# Quadratic \ Formula:\\\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\=\frac{10\pm\sqrt{(-10)^2-4(1\times-299)}}{2\times1}\\\\x_1=23, \ \ \ x_2=-13[/tex]
length dimensions are always positive.
Hence, the value of x is 23
What is 3 divided by 0.05?
3 divided by 0.05 is equal to 60.
Given that we need to find the value of 3 divided by 0.05,
To calculate 3 divided by 0.05, you can use the following formula:
3 ÷ 0.05 = [tex]\frac{3}{0.05}[/tex]
To divide by a decimal number like 0.05, you can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point.
In this case, multiplying by 100 will work:
[tex]3 \div 0.05 = \frac{3}{0.05} \times\frac{100}{100}[/tex]
Now we can perform the division:
[tex]3 \div 0.05 = \frac{3\times 100}{0.05 \times100}[/tex]
Simplifying further:
[tex]3 \div 100 =[/tex] [tex]\frac{300}{5}[/tex]
Finally, performing the division:
300 / 5 = 60
Therefore, 3 divided by 0.05 is equal to 60.
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Katelynn bought a used car and it was 5 years old. She purchased it for 10,250, after two years the Kelly Blue book value for her car is $8,075. Determine how much the car was worth when it was first bought by the original owners and determine what the depreciation rate is. Hint: Remember these are exponential equations of the form y=abx.
Answer:
a) rate of depreciation is 11.24%
b) original price of car = $18605.33
Step-by-step explanation:
The formula to apply is;
current price= original price *(1-r)^n where r is the rate of depreciation as a decimal and n is the time period
a) Find the rate of depreciation given that ;
The car was bought at $10,250 when it was 5 years old
After 2 years, the value was $8,075
Apply the formula ;
current price= original price *(1-r)^n
8,075=10,250* (1-r)²
8,075/10250 = (1-r)²
0.78780487804 =(1-r)²
√0.78780487804 =(1-r)
0.88758373016 = 1-r
r=1-0.88758373016
r=0.11241626983 ⇒ 11.24%
b) When the car was first bought, the price was;
Apply the formula;
current price= original price *(1-r)^n
10,250 =original price * (1-0.1124)⁵
10,250=O.P *(0.5509)
10,250/0.5509 = original price
$18605.33= original price
Describe how u can solved example 2 by using division ?
Trigonometric ratios in rig triangles pls help
Answer:
c 21 / 29
Step-by-step explanation:
with reference angle α
base (b) = 21
hypotenuse (h) = 29
Now
cos α = b/h
= 21/ 29
Hope it will help you :)
Answer:
The answer is C) 21/29
The formula for cosine is: adjacent side divided by the hypotenuse (adj/hyp) so 21/29
Hope it help and good luck!
Step-by-step explanation:
How do I justify my answer?
a) The value of x as calculated in the image is 45 degrees.
b) For the lines AD and BC to be parallel in a quadrilateral, the opposite angles need to be supplementary (i.e., their sum should be 180 degrees).
In this case, angle A is:
2x = 245 = 90 degrees
and angle D is:
3x = 345 = 135 degrees.
Since 90 + 135 = 225 degrees, which is not equal to 180 degrees, the lines AD and BC would not be parallel when ABCD is drawn to scale.
What is the measure of angle 1?
A triangle has angles 29 degrees, 65 degrees, and 2. The exterior angle to angle 2 is 1.
Answer:
86 degrees
Step-by-step explanation:
So what you do is that since a triangle is 180 degrees added together you first subtract 180-29 and then you get 151 and then you subtract 151-65 and that's how I got 86
The measure of angle ∠1 is equivalent to 94°.
What is an angle?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Given is that a triangle has angles 29° and 65°.
We know that -
Exterior angle is equal to Sum of two interior opposite angles.
Mathematically -
∠E = ∠I{1} + ∠I{2}
∠1 = 29° + 65°
∠1 = 94°
Therefore, the measure of angle ∠1 is equivalent to 94°.
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Help anyone:) please?
Answer:
3 i believe i have not done this in long time
Step-by-step explanation:
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer:
3
Step-by-step explanation:
The formula for the IQR is [tex]Q_{3} -Q_{1}[/tex] so you would subtract quartile 1 from quartile 3
11 - 8 = 3
IQR = 3
The generator of a cone forms a 20⁰ angle with the central axis. At what angle could a plane intersect the central axis of the cone to form an ellipse?
10⁰
20⁰
40⁰
90⁰
Answer:
40
Step-by-step explanation:
Suppose chocolate costs $17.60 per kilogram. Karega buys 25 grams of chocolate and Samadhi buys 100 grams of chocolate.
How much more did Samadhi pay for her chocolate?
$0.44
$1.32
$2.20
$2.64
Samadhi paid $1.32 more than Karega for her chocolate.
Explanation:The subject of this question is in Mathematics, specifically it involves unit conversion and arithmetic calculations. We know that chocolate costs $17.60 per kilogram. But Karega and Samadhi are buying chocolate in grams which means we need to convert the cost from kilograms to grams. 1 kilogram is equal to 1000 grams. So, cost of chocolate per gram = $17.60/1000 = $0.0176.
Karega is buying 25 grams of chocolate, so the cost = 25 * $0.0176 = $0.44. Samadhi is buying 100 grams of chocolate, so the cost =$0.0176 * 100 = $1.76. To find out how much more Samadhi paid for her chocolate compared to Karega, we subtract Karega's cost from Samadhi's cost which gives $1.76 - $0.44 = $1.32.
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Mr. Jackson’s monthly salary is revised from $2500 to $2600. What percentage is the salary increased?
Answer:
.004 %
Step-by-step explanation:
help me pls ASAP !!
I just need the simplified exponent
Answer:
256y^3/x^2
Step-by-step explanation:
It takes Evan 14 minutes to complete a word search.
How many word searches can Evan complete in 98 minutes?
Answer:
7 word searches
Step-by-step explanation:
To solve this problem, all we have to do is take the total amount of minutes and divide it by the amount of minutes it takes Evan to complete one word search.
98/14 = 7
Evan can complete 7 word searches in 98 minutes.
He can search 7 words.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Evan 14 minutes to complete a word search
Evan can complete in 98 minutes
=98/14
=7
Hence, Evan can search 7 words in 98 minutes.
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Consider the function f(x) = 3x2 + 7x + 2.
What is the value of the discriminant?
How many x-intercepts does this function have?
What is the number of zeros for this function?
Answer:
Step-by-step explanation:
This function I believe has one x intercept which is (-2/13,0)
Answer:
It's 25 , 2 , two real number solutionsStep-by-step explanation:
Just did it
What is the name of the relationship between 1 and 4?
Two horizontal parallel lines cut by a diagonal transversal. Angles 1 and 3 are on the left-hand side of the transversal and the interior of the parallel lines. Angles 2 and 4 are on the right-hand side of the transversal and the interior of the parallel lines.
Answer:
Angles 1 & 4 are alternate interior angles.
The correct name for the relationship between angles 1 and 4 in the given scenario is that they are corresponding angles.
When two parallel lines are cut by a transversal, the following relationships exist between the angles formed:
1. Corresponding angles are equal. These are the angles that are in the same relative position at each intersection where a straight line crosses two others. In this case, angle 1 corresponds to angle 4 because they are both above the parallel lines and on the same side of the transversal.
2. Alternate interior angles are equal. These are the angles that are inside the parallel lines and on opposite sides of the transversal. Angle 3 would be the alternate interior angle to angle 1, not angle 4.
3. Alternate exterior angles are equal. These are the angles that are outside the parallel lines and on opposite sides of the transversal.
4. Consecutive interior angles (also known as same-side interior angles) are supplementary. These are the angles that are on the same side of the transversal and inside the parallel lines.
Since angle 1 and angle 4 are in the same relative position at each intersection (both are above the parallel lines and on the same side of the transversal), they are corresponding angles. Therefore, if the lines are parallel, angle 1 is equal to angle 4.
a town has 35,000 registered voters. a random sample of 500 voters finds that 125 of them are in favor of a new dog park. how many are to are likely to vote for the dog park. write a proportion to represent this problem or explain your reasoning.
Answer:
8750 registered voters
Step-by-step explanation:
Kindly refer to the attached image for explanations
PLEASE I REALLY NEED HELP IT'S DUE TODAY AND I CAN'T DO THIS PLEASE HELP ME!!!
Data from 200 flights were collected. The flights were categorized as domestic or international and late or not late. Is there an association between international flights and a flight being late?
Find the relative frequency of a flight being late among international flights.
Answer: There is NO correlation between international flights and a flight being late.
Step-by-step explanation:
See attachment for rationale and step by step.
what is the volume of a cylinder with base radius 2 and height 9
Answer:
V = 113.04
Step-by-step explanation:
V=pi r^2 h
V= (3.14)(4)(9)
V=113.04
Volume of the cylinder is 113.14 cubic unit .
What is the formula of volume of a cylinder ?Let, radius of the cylinder = r unit
and height of the cylinder = h unit
∴ Volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit
How to calculate the Volume of given cylinder ?Given, radius of the cylinder (h) = 9 unit
and given base radius (r) = 2 unit
∴ Volume of the given cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h cubic unit
= [tex]\frac{22}{7}[/tex]×[tex]2^{2}[/tex]×9 cubic unit [ ∵[tex]\pi[/tex]=[tex]\frac{22}{7}[/tex]]
= [tex]\frac{792}{7}[/tex] cubic unit
= 113.14 cubic unit
113.14 cubic unit is the volume of the given cylinder .
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Pleaseee helppp with my online school
Answer:
it can be a triangle and a rectangle
Step-by-step explanation:
Answer:
triangle and an rectangle
Step-by-step explanation:
What is the solution of
X-4 +5=2?
O x=-17
O x=13
x = 53
no solution
The solution of the Equation is x = 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
x - 4 + 5 = 2
Now, solving for x we get
x + 1= 2
Now, subtract 1 from both side we get
x+ 1 -1 = 2 - 1
x = 1
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Mark is pitching a tent he ties a rope from a nail to the top of the tent what is the length of the rope between the nail and the top of the tent
6
7
12
14