Answer:
Let's assume that the original size of the trial-size bottle of dishwashing soap is "x" ounces.
According to the problem, the new size of the bottle is 10% less than the original size, which means that the new size is 90% of the original size. So we can set up an equation as follows:
0.90x = 4.5
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.90:
x = 4.5 ÷ 0.90
x = 5
Therefore, the original size of the trial-size bottle of dishwashing soap is 5 ounces.
Kira has $2.20 in dimes and quarters. If the number of dimes
is the number of quarters, how many dimes does she have?
Answer:
There are 2 dimes in the purse that contains $2.20
What is an equation?
An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Let quarters be = x
The dimes be = 1/4 * x
25x+10x/4 = 220
(100x + 10x) /4 = 220
110x/4 = 220
110x = 220*4
110x = 880
x = 880/110
x = 8
The dimes be = 1/4 * x
The dimes be = 1/4 * 8
The dimes be = 2
Step-by-step explanation:
Pls ad brainliest!!!
Ethan also wants to buy some shoes that were originally $80. This week they’re on sale for 50% off the original price. Ethan also has a 50% off coupon. Will the shoes be free with coupon? If not, how much will they cost?
Answer:
20$
Step-by-step explanation:
since there is a discount we first find the discount allowed which is 40$. After we also use the coupon which is 50% off. then you get 20$ as your answer
a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 409.0 409.0 gram setting. it is believed that the machine is underfilling the bags. a 38 38 bag sample had a mean of 406.0 406.0 grams. a level of significance of 0.05 0.05 will be used. state the hypotheses. assume the variance is known to be 400.00 400.00 . enter the hypotheses:
The null and alternative hypotheses for the manufacturer of banana chips can be defined as:
H0: µ = 409 (Null Hypothesis)
Ha: µ < 409 (Alternative Hypothesis)
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 409.0 409.0 gram setting. It is believed that the machine is underfilling the bags. A 38 bag sample had a mean of 406.0 grams. A level of significance of 0.05 will be used. State the hypotheses. Assume the variance is known to be 400.00. Enter the hypotheses.
The null and alternative hypotheses for the manufacturer of banana chips can be defined as:
H0: µ = 409 (Null Hypothesis)
Ha: µ < 409 (Alternative Hypothesis)
Where µ is the population mean of the weight of banana chips in a bag. The level of significance is 0.05. As the population variance is known, the z-test can be performed. To test the above hypotheses, we can calculate the test statistics as shown below :
z = (X - µ) / [σ / √(n)]
Where, X = Sample mean = 406, Population mean = 409, Population standard deviation = 20 (Square root of variance = √400) , Sample size = 38 substituting the given values, we get
= (406 - 409) / [20 / √(38)]z = -1.581
According to the z-distribution table, the probability of getting a value less than or equal to -1.581 is 0.0562. It means the p-value is 0.0562. Since the p-value (0.0562) > α (0.05), we fail to reject the null hypothesis H0.
Therefore, there is not enough statistical evidence to conclude that the bag filling machine is underfilling the bags at the 409-gram setting. Thus, the given statement is false.
To learn more about hypothesis test refer :
https://brainly.com/question/17099835
#SPJ11
if atharv has 10 nickels and dimes in his pocket, and they have a combined value of 70 cents, how many of each coin does he have?
If Atharv has 10 nickels and dimes in his pocket, and they have a combined value of 70 cents, then he has 1 nickels and 4 dimes.
Let x be the number of nickels and y be the number of dimes. A nickel is worth 5 cents, and a dime is worth 10 cents. Therefore, we can write two equations:
x + y = 10 (since he has 10 coins in total)
5x + 10y = 70 (since the combined value of the coins is 70 cents)
We can simplify the second equation by dividing both sides by 5:
x + 2y = 14
Now we can use the first equation to solve for one of the variables in terms of the other. Let's solve for x:
x + y = 10x = 10 - y
Now we can substitute this expression for x into the second equation:
x + 2y = 14(10 - y) + 2y = 14
Simplifying, we get:
10 + y = 14
y = 4
Therefore, Atharv has 5 - 4 = 1 nickel and 5 - 1 = 4 dimes.
To learn more about linear equations refer :
https://brainly.com/question/29739212
#SPJ11
A student has a rectangular bedroom. If listed as ordered pairs, the corners of the bedroom are (21, 18), (21, −7), (−12, 18), and (−12, −7). What is the perimeter in feet?
116 feet
58 feet
33 feet
25 feet
The perimeter of the rectangular bedroom is 116 feet.
How to get the perimeter?We know that the distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
d = √( (x₂ - x₁)² + (y₂ - y₁)²)
Here the corners of the room are at: (21, 18), (21, −7), (−12, −7) and (−12, 18)
Let's find the distances between these points:
d₁ = √( (21- 21)² + (18 + 7)²) = 25
d₂ = √( (21 + 12)² + (-7 + 7)²) = 33
d₃ = √( (-12 + 12)² + (-7 - 18)²) = 25
d₄ = = √( (-12 - 21)² + (-7 + 7)²) = 33
The perimeter is the sum of these distances so we will get:
d₁ + d₂ + d₃ + d₄ = 25 + 33 + 25 + 33 = 116
The correct option is the first one.
Learn more about perimeter at:
https://brainly.com/question/24571594
#SPJ1
mobile ladder stands with a top step over 10 feet high and which is 20 inches or more in depth require:
Mobile ladder stands with a top step over 10 feet high and 20 inches or more in depth must be equipped with a safety cage or body belt and lanyard to provide protection against a fall.
The cage should be at least 30 inches tall and should be fully enclosed on all four sides. Additionally, the top step should be enclosed and provided with a grab bar. The ladder must be securely supported and stabilized. Non-skid materials should be applied to the steps and platform. Finally, the ladder must meet safety requirements outlined in the Occupational Safety and Health Administration's (OSHA) regulations.
For more such questions on OSHA regulations.
https://brainly.com/question/29887509#
#SPJ11
during an accident, skid marks may result from sudden breaking. the formula approximates a vehicle's speed, s, in miles per hour given the length d in feet of the skid marks. if skid marks on dry concrete are 54 feet long, how fast was the car traveling when the brakes were applied?
The car was travelling with the speed of 183.5 mph when the brakes were applied.
The pace at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed. M/s is the SI unit of speed. We will learn more about the speed formula and its uses in this section.
Let's continue and investigate the speed formula in this part in more detail. Speed can be expressed in a variety of ways, including m/s, km/hr, miles/hr, etc. [LT-1] is the dimensional formula for speed. A body's speed may be defined as how quickly it is going. The equation for a given body's speed may be written as,
Speed = Distance ÷ Time
We have the equation,
[tex]s=\frac{\sqrt{d} }{0.04}[/tex]
we have the value of d as 54
putting the value pf d in the equation we get,
[tex]s=\frac{\sqrt{54} }{0.04}[/tex]
s = 7.34/0.04
s = 183.5 mph
So the car was travelling with the speed of 183.5 mph when the brakes were applied.
Learn more about Car speed problems:
https://brainly.com/question/13325695
#SPJ4
Complete question:
The speed that a vehicle was traveling, s, in miles per hour, when the brakes were first applied, can be estimated using the formula
[tex]s=\frac{\sqrt{d} }{0.04}[/tex] where d is the length of the vehicle's skid marks, in feet.
if skid marks on dry concrete are 54 feet long, how fast was the car traveling when the brakes were applied?
you need to have a password with 4 letters followed by 2 even digits between 0 and 9 , inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?
There are 6,354,000 choices for the password.
To generate a password, you need to have 4 letters followed by 2 even digits between 0 and 9, inclusive.
If the characters and digits cannot be used more than once,
Solution: We have to find the number of choices of the password with given conditions.
To find the number of choices, let us follow the following steps:
Step 1: Choose the first letter in 26 ways
Step 2: Choose the second letter in 25 ways (excluding the letter that we have already chosen)
Step 3: Choose the third letter in 24 ways (excluding the 2 letters that we have already chosen)
Step 4: Choose the fourth letter in 23 ways (excluding the 3 letters that we have already chosen)
Step 5: Choose the first even digit in 5 ways (from 0, 2, 4, 6, and 8)
Step 6: Choose the second even digit in 4 ways (excluding the even digit that we have already chosen)
Therefore, the total number of choices for the password with the given conditions is given by:
Total number of choices = 26 × 25 × 24 × 23 × 5 × 4= 6,354,000.
For similar question on choices.
https://brainly.com/question/28338909
#SPJ11
a run test is conducted for a process. the z-test value is calculated to be -1.5. if the run test acceptable limits are /- 2sigma you would conclude?
The conclusion of the test is the calculated z-test value of -1.5 falls within the acceptable limits of +/- 2 sigma.
To interpret the results of the run test, we need to compare the calculated z-test value with the acceptable limits for the test. The acceptable limits for the run test are +/- 2 sigma, which means that the process is considered acceptable if the z-test value falls within this range.
Since the z-value of -1.5 falls within the acceptable limits of +/- 2 sigma, we can conclude that the process is acceptable according to the run test. This means that there is no evidence of non-randomness or nonconformity in the process, and the process is functioning as expected.
Learn more about z-value here
brainly.com/question/28260451
#SPJ4
an international company has employees in one country. if this represents of the company's employees, how many employees does it have in total? round your answer to the nearest whole number.
The total number of employees in the company would be 5, rounded to the nearest whole number.
The formula to calculate the total number of employees in a company is:
Total Number of Employees = Number of Employees in One Country x Proportion of Company's Employees.
For example, if a company has 10 employees in one country and that represents 50% of the company's employees, then the total number of employees in the company would be:
Total Number of Employees = 10 x 0.5 = 5
Therefore, if a company has 10 employees in one country and that represents 50% of the company's employees, then the total number of employees in the company would be 5, rounded to the nearest whole number.
Learn more about total number here:
https://brainly.com/question/3589613
#SPJ4
lara ran the first leg of a relay race in 14.06 seconds. sheela ran the second leg. the total time it took both girls to run the race was 27.89 seconds. how long did it take sheela to run the second leg of the race?
it takes Sheela to run the second leg of the race: Ascertain the total or contrast: x = 13.83.
In view of the given circumstances, plan:: 14.06+ x = 27.89
Modify variables to the left half of the situation: x = 27.89 - 14.06
Ascertain the total or contrast: x = 13.83
Speed = Distance/Time - This lets us know how slow or quick an article moves. It portrays the distance voyaged partitioned when taken to cover the distance.
Speed is straightforwardly Relative to Distance and Conversely corresponding to Time. Thus,
Distance = Speed X Time, and
Time = Distance/Speed, as the speed builds the time taken will diminish as well as the other way around.
Utilizing these recipes any fundamental issues can be settled. Nonetheless, the right utilization of units is additionally something essential to consider while utilizing equations.
to know more about variables click here:
https://brainly.com/question/112703
#SPJ4
the pediatrician writes an order for methylprednisolone injection 15 mg iv now. how many milliliters will the nurse administer? round the answer to the nearest hundredth.
As a result, the carer will deliver 0.38 mL of methylprednisolone.
Are millilitres and ml the same thing?Milliliter is what the ml stands for. When pronouncing the characters aloud, the word ml is usually pronounced millilitre. It's good to keep this in mind. Simply imagine to yourself, "l = liquid," whenever you see the small "l".
To determine how many milliliters of methylprednisolone injection the nurse will administer, we need to know the concentration of the medication. Let's assume the concentration is 40 mg/mL.
We can use the following formula to calculate the amount to administer:
Amount (mL) = Dose (mg) / Concentration (mg/mL)
Plugging in the values from the order, we get:
Amount (mL) = 15 mg / 40 mg/mL
Amount (mL) = 0.375 mL
Rounding the answer to the nearest hundredth gives us:
Amount (mL) = 0.38 mL
Therefore, the nurse will administer 0.38 mL of methylprednisolone injection.
To know more about Milliliter visit:
https://brainly.com/question/28920784
#SPJ1
Use the point slope to write an equation of:
a)The line that passes through the points (-2,-6) and (1,0)
b) The line that passes through the point (-3,1) and is parallel to the line y = 4x + 3.
C) The line that passes through the point (0, -6) and is perpendicular to the line -5x + y = 4.
how many ways are there to distribute five balls into three boxes if (c) the balls are unlabeled, but the boxes are labeled?
There are 243 ways to distribute five unlabeled balls into three labeled boxes.
Since the balls are unlabeled, we only need to consider the number of balls in each box, rather than which specific ball goes where.
We can use a combination approach to solve this problem. Let's think about distributing the balls one at a time. For the first ball, there are three boxes to choose from. For the second ball, there are also three boxes to choose from. We can continue this process until all five balls have been distributed.
So, for each ball, there are three choices of which box to put it in. Therefore, the total number of ways to distribute the five balls into the three labeled boxes is
3 x 3 x 3 x 3 x 3 = 3^5 = 243
Learn more about combination here
brainly.com/question/28720645
#SPJ4
the measures of two acute angles of a right triangle differ by 22 degrees. find the measure of each angle.
Answer:
In a right triangle, one of the angles measures 90 degrees, and the other two angles are acute angles that add up to 90 degrees. Let's call the measures of the two acute angles x and y.
We know that x and y differ by 22 degrees. So we can set up an equation:
x - y = 22
We also know that x + y = 90, since the two acute angles add up to 90 degrees.
Now we can solve this system of equations for x and y. One way to do this is to add the two equations together, which eliminates y:
x - y + x + y = 22 + 90
2x = 112
x = 56
Now we can substitute x = 56 into one of the equations to find y:
x + y = 90
56 + y = 90
y = 34
Therefore, the measures of the two acute angles of the right triangle are 56 degrees and 34 degrees.
a line segment has endpoints (0, 5) and (6, 5). after the line segment is reflected across the x-axis, how long will it be?
The length of the reflected line segment is approximately 11.66 units.
The endpoints of the line segment mentioned in the question are (0,5) and (6,5). After the line segment is reflected across the x-axis, the endpoints of the reflected line segment are (0, -5) and (6, -5).To find the length of the reflected line segment, we will use the distance formula.
Using the distance formula:d = √[(x₂ - x₁)² + (y₂ - y₁)²]d = √[(6 - 0)² + (5 - 5)²]d = √[36 + 0]d = √36d = 6 units. So the length of the original line segment is 6 units.Now, let's find the length of the reflected line segment.Using the distance formula :d = √[(x₂ - x₁)² + (y₂ - y₁)²]d = √[(6 - 0)² + (-5 - 5)²]d = √[36 + 100]d = √136d = 11.66 (approx) units. So the length of the reflected line segment is approximately 11.66 units.
To know more about distance formula click here:
https://brainly.com/question/25841655
#SPJ11
how could you lower the fat content of the following sandwich? 2 slices of white bread 2 ounces of sliced turkey 1 slice of provolone cheese 1 tablespoon of mayonnaise 1 leaf of lettuce 1 slice of tomato
1. Replace the white bread with whole grain bread
2. Replace the turkey with a leaner meat, such as chicken or turkey bacon
3. Replace the mayonnaise with low-fat Greek yogurt
4. Replace the provolone cheese with a lower-fat cheese such as mozzarella
5. Reduce the amount of lettuce used
6. Replace the tomato slice with tomato slices or tomato paste.
To lower the fat content of the sandwich, you can make these changes:
Learn more about turkey
brainly.com/question/801345
#SPJ11
I need some help please
Answer:
3(2c + d) - 4(c - d) + d² = 32
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
We have to use,
→ d = 3
→ c = 1
The given expression is,
→ 3(2c + d) - 4(c - d) + d²
Let's simplify the expression,
→ 3(2c + d) - 4(c - d) + d²
→ 3(2(1) + 3) - 4(1 - 3) + 3²
→ 3(2 + 3) - 4(-2) + 9
→ 3(5) + 8 + 9
→ 15 + 17
→ 32 => {final answer}
Therefore, the answer is 32.
The triangle shown is rotated about line m.
A triangle with side lengths of 6 centimeters, 8 centimeters, and 10 centimeters is shown. The triangle is rotated about line m at the side with length 8 centimeters.
What is the approximate base area of the resulting three-dimensional figure?
Area of a circle: A = πr2
38 sq. cm
113 sq. cm
201 sq. cm
314 sq. cm
Answer:
Step-by-step explanation:
When the triangle is rotated about the side with a length of 8 cm, it forms a cone with a base radius equal to 4 cm and height equal to 6 cm.
Using the formula for the volume of a cone, V = 1/3 * πr^2h, where r is the radius and h is the height, we can find the volume of the resulting solid:
V = 1/3 * π * 4^2 * 6
V ≈ 100.53 cubic centimeters
To find the approximate base area, we need to calculate the area of the circle with a radius of 4 cm (the base of the cone):
A = πr^2
A ≈ 50.27 sq. cm
Therefore, the approximate base area of the resulting three-dimensional figure is about 50.27 sq. cm.
So, the closest option available in the given choices is 38 sq. cm, but the correct answer based on calculations is approximately 50.27 sq. cm.
Answer:
I just did the quiz. Look below.
Step-by-step explanation:
$15,600 at 3% for 2 years
Answer:10,400
Step-by-step explanation:
Help please refer to the image
Answer: What grade are you in? Because I had to do this for my 8th or 9th grade year as a homeschooler.... I never had help...I had the same brand laptop and my studies were done on T4L......
Step-by-step explanation:
x2 +3x--3x+5 I think give me a few minutes to check myself
8. the z-table gives the area under the standard normal curve to the left of z. what does the t-table give?
Answer:
The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it
HOPE THIS HELPSSS!
Jada is training for a swimming race. The more she practices, the less time it takes for her to swim one lap. Name the independent and dependent variables.
Answer:Independent = Her practice time. Dependent= Her lap time.
Step-by-step explanation: The more she practices the faster she can swim.
100 points please helq
Answer:
x^2 - 4x + 6 = 0
Step-by-step explanation:
x^2 + 2 - 4x = -4
x^2 - 4x + 2 + 4 = 0
x^2 - 4x + 6 = 0
"A box contains 8 crayons: 3 red, 2 blue, 1 black, 1 green, and 1 yellow. Remove one crayon from the box at random and set it apart, then remove a second crayon from the box. Use the conditional probability equation to find P (the second crayon is blue and the first crayon is blue)
The probability that the second crayon drawn is blue and the first crayon drawn is blue is 1/28.
To solve this problem, we can use the conditional probability formula:
P(A and B) = P(B|A) * P(A)
where:
P(A and B) is the probability that both events A and B occur
P(B|A) is the probability of event B given that event A has already occurred
P(A) is the probability of event A occurring
In this case, we want to find the probability of selecting a blue crayon on the second draw given that the first crayon selected was blue. So we have:
P(the second crayon is blue and the first crayon is blue) = P(blue on the second draw | blue on the first draw) * P(blue on the first draw)
To find each of these probabilities, we can start by calculating the total number of possible outcomes:
Total number of outcomes = 8 crayons in the box
Next, we need to find the probability of selecting a blue crayon on the first draw:
P(blue on the first draw) = 2/8 = 1/4
After the first blue crayon has been set aside, there are only 7 crayons left in the box, so the probability of selecting a blue crayon on the second draw given that the first crayon was blue is:
P(blue on the second draw | blue on the first draw) = 1/7
Putting it all together:
P(the second crayon is blue and the first crayon is blue) = P(blue on the second draw | blue on the first draw) * P(blue on the first draw)
= (1/7) * (1/4)
= 1/28
Therefore, the probability that the second crayon drawn is blue and the first crayon drawn is blue is 1/28.
To learn more about probability:
https://brainly.com/question/30034780
#SPJ4
How is the distributive property used when finding the product of two polynomials?
the graph of f(x) to answer the question.
f(x) 18
16-
(-10, 14)
10-
6
(-6, 1.2)
-14-12-10-8-6-4-2
(-5, -1)
(10, 14)
(8, 6.8)
6 8 10 12 14
(5, -1)
(0, -6)
©2018 StrongMind. Created using GeoGebra.
What is the output off when x = -6?
Enter your answer as the numerical value shown in the graph
The output of the graphed function when x = 6 is given as follows:
y = 1.2.
How to define a quadratic function according to it's vertex?The coordinates of the vertex are (h,k), meaning that:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.Considering a leading coefficient a, the quadratic function is given as follows:
y = a(x - h)² + k.
The vertex is the turning point of a quadratic equation, hence it's coordinates for this problem are given as follows:
(0, -6).
Meaning that the function is defined as follows:
y = ax² - 6.
When x = 5, y = -1, hence the leading coefficient a is obtained as follows:
-1 = 25a - 6
a = 0.2.
Hence the function is:
y = 0.2x² - 6.
Hence the output when x = -6 is given as follows:
y = 0.2(-6)² - 6
y = 1.2.
More can be learned about quadratic functions at https://brainly.com/question/1214333
#SPJ1
Select the correct answer. Solve the following equation for x. x2 - 9x + 18 = 0 A. x = -3; x = 6 B. x = 3; x = 6 C. x = -3; x = -6 D. x = 3; x = -6
Answer:B
Step-by-step explanation: x=3;x=6
Find the measure of the indicated angle to the nearest degree.
8)
7)
28
25
I
Find the area of each.
9)
5m
6.7 m
10)
8 km
46
9.6 km
22
The given angles and measures is given below:
What is an Angle?In mathematics and geometry, an angle is a measure of the space between two intersecting lines, rays, or line segments, usually expressed in degrees, radians, or grads. It is the measure of the opening between two lines that intersect at a common point, called the vertex of the angle.
5) tan x = 153 / 41
x = tan^-1 ( 153 / 41 )
75 degrees
6) tan y = 25/25
y = tan^-1 ( 25/25 )
45 degrees
7) sin z = 10/28
z= sin^-1 ( 10/28 )
21 degrees
8) cos a = 47/50
a = cos^-1( 47/50)
20 degrees
Read more about angles here:
https://brainly.com/question/25716982
#SPJ1
Which expression is equivalent to the following complex fraction?
The expression that is equivalent to the following complex fraction is this: B. -2y + 5x/3x -2y.
What is an equivalent expression?An equivalent expression is one that produces the same result as the given one when simplified. To get the equivalent expression, we simply need to simplify the expression above and the one underneath.
After finding the lowest common multiples of the figures underneath and the ones above, the next thing to do will be to multiply by the numerators.
-2/x + 5/y = -2y + 5x
Also:
3/y - 2/x = 3x - 2y
So, option B is an equivalent expression of the complex fraction.
Learn more about complex fractions here:
https://brainly.com/question/29635467
#SPJ1