The simplification of the expression for the weight of the canteen after drinking is 2.33 lbs
How to write the expressionThe total weight can be gotten as:
weight of empty canteen + ( 32 - x ) of the water x weight of water
This would be represented by
total weight = 0.25 + 0.065 * (32-x)
We have to open up the expression
weight = 0.25 + 2.08 - 0.065x
When the weight is 0 we would have
0.25 + 2.08 - 0.065x0
= 2.33 lbs
Hence the simplification of the expression for the weight of the canteen after drinking is 2.33 lbs
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My 10 year old has the following word problem. I am CLUELESS!
For his birthday, Baldwin got a new drone. According to the box, the drone can fly as fast as 1,100 feet per minute. Baldwin thinks that sounds too fast to be realistic, so he wants to convert the speed to more familiar
Hint: there are 5,280 feet in 1 mile
Solve y+1/2-2y-1/3=4
Answer:
y=-23/6
Step-by-step explanation:
Answer:
y=-26
Step-by-step explanation:
multiply each side by 3
Y+1/2-2y-3=12
Multiply each side by 2
Y+1-2y-3=24
Add 3 to each side
Y+1-2y=27
Subtract each side by 1
Y-2y=26
-y=26
Multiply each side by -1
Y=-26
Can you guys help me solve this
Step-by-step explanation:
so, first $300 must be paid without any ifs and whens.
for the rest of the amount the insurance will cover 70%.
the bills total to
700 + 930 = $1630
he must pay $300 of that directly.
that leaves 1630 - 300 = $1330 for the 70/30 split between insurance and patient.
the patient must pay 30% of these $1330.
100% = 1330
1% = 100%/100 = 1330/100 = $13.30
30% = 1% × 30 = 13.30 × 30 = $399
so, the patient pays
300 + 399 = $699
of the $1630 bill.
Line segment is reflected about the y-axis to form C’D’. Which is statement describes C’D’?
The statement that describes C’D’ is (d) C'D' and CD are equal in length.
How to determine the statement that describes C’D’?The complete question is added as an attachment
The statement is given as:
A reflection of CD about the y-axis to form C’D’
When a line is reflection, the line segment of the image and pre-image are congruent
This is so because the reflection transformation is a rigid transformation
Hence. the statement that describes C’D’ is (d) C'D' and CD are equal in length.
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Complete question
The line segment is reflected about the y-axis to form C'D'. Which statement describes C'D'?
C'D' is perpendicular to CD.
C'D' is half the length of CD.
C'D' is greater than twice the length of CD.
C'D' and CD are equal in length.
Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
Through (9,-9), perpendicular to x = -2
Step-by-step explanation:
do you have a picture of your work?
and if you have 9.9 in your graph and you get a point it can be valid otherwise it would not help you at all
The candy produced by a company has a sugar level that is normally distributed with a mean of 16.1 grams and a standard deviation of 0.9 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 19.4. Is the process in control or out of control and why? Use a control chart to answer the question.
It is out of control as the values jump above and below the mean
It is out of control as one of these data points is more than 3 standard deviations from the mean
It is out of control as two of these data points are more than 2 standard deviations from the mean
It is out of control as at least two of three consecutive data points are more than 2 standard deviations from the mean
The correction option is B, It is out of control as one of these data points is more than 3 standard deviations from the mean.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given that the candy produced by a company has a sugar level that is normally distributed with a mean of 16.1 grams and a standard deviation of 0.9 grams. Therefore, the maximum and the minimum weight of the candy can be,
Maximum weight = Mean + 3(Standard deviation)
= μ + 3σ
= 16.1 + 3(0.9)
= 16.1 + 2.7
= 18.8
Minimum weight = Mean - 3(Standard deviation)
= μ - 3σ
= 16.1 - 3(0.9)
= 16.1 - 2.7
= 13.4
Since one of the reading point, 19.4 is more than 3 standard deviations from the mean, therefore, it can be concluded that the process is out of control.
Hence, It is out of control as one of these data points is more than 3 standard deviations from the mean.
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Find the digit in each indicated place value in the number 6,048,230,157 .
The digit in each indicated place value in the number 6,048,230,157 are as follows:
6 = ones.0 = tens.4 = hundreds.8 = thousands.2 = tens of thousands.3 = hundred of thousands.0 = millions.1 = tens of millions.5 = hundreds of millions.7 = billions.What is a place value?A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.Read more on place value here: https://brainly.com/question/569339
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How many of mrs. Lynch’s students prefer cheese pizza?
Step-by-step explanation:
100 nsmzmsmsmsmsmsmsnsnnsnsbsnjsjjsjsjsj
D
Do you agree or disagree? Explain your thinking.
The 5th graders set up 20 rows of chairs with 25 chairs in
each row for the assembly. Mrs. Lord asked if they'd set
up enough chairs for all 552 students. Kamil said he could
skip-count to find out how many chairs there were in all,
and then they'd know if they had enough.
Answer:
Step-by-step explanation:
Having a spot of difficulty after re-watching the main video a few times. I followed his example but the answer I got was 2 (yay...). I would appreciate the help!
Using it's formula, the variance of the data-set is of 15 units squared.
What are the mean and the variance of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of values in the data-set.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set.For this problem, the mean is given by:
Mean = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8.
Hence the variance is given as follows:
Variance = 1/8 x [(3-8)² + (4-8)² + (5-8)² + (7-8)² + (10-8)² + (12-8)² + (15-8)²] = 15.
Hence the variance of the data-set is of 15 units squared.
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The side of the triangle are measured correct to the nearest cm. Work out the maximum possible perimeter of the triangle.
The maximum possible perimeter of the triangle 25cm.
What is perimeter of a triangle?
The length of all a triangle's sides added together yields the perimeter of a triangle.
How to calculate the perimeter of a triangle?
Add the lengths of the triangle's sides to determine its perimeter. For instance, the perimeter of a triangle with sides a, b, and c is P = a + b + c.
Given the lengths of sides of triangle are 7cm, 8cm, and 10cm.
The perimeter of the triangle is 7 + 8 + 10 = 25cm
Therefore, the maximum possible perimeter of the triangle 25cm.
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Un ganadero tiene tiempo suficiente para alimentar 220 vacas durante 45 días. ¿cuántos días podrá alimentar con la misma cantidad de tiempo a 450 vacas?
Answer:
112.5
Step-by-step explanation:
450(45/220) = 450/4 = 112.5
need help due tomorrow too
Answer: The answer is 7
Step-by-step explanation:
Absolute value is the final amount of spaces it is from 0 so -7 and positive 7 are both 7 spaces from 0 so I claim that 7 is the absolute value making Amanda wrong!
Bill Murray has 16 3/4 days of vacation per year. To date, he has taken 1 3/4 days in January, 4 2/3 days in February, and 2 1/6 days in March. How much more vacation time is Bill entitled to?
Step-by-step explanation:
16 3/4 days in total.
that are (16×4 + 3)/4 = 67/4 days.
he has taken
1 3/4 = (1×4 + 3)/4 = 7/4 days
4 2/3 = (4×3 + 2)/3 = 14/3 days
2 1/6 = (2×6 + 1) = 13/6 days
to be able to add abd subtract them directly, we need to bring all fractions to the same denominator.
we have 3, 4, 6 : the smallest common multiple is 12 (can be divided without remainder by 3, 4 and 6).
we need to multiply each fraction by a fitting n/n factor to bring the denominators to 12 and keep the overall value of the fraction unchanged.
67/4 = 67/4 × 3/3 = 201/12
7/4 = 7/4 × 3/3 = 21/12
14/3 = 14/3 × 4/4 = 56/12
13/6 = 13/6 × 2/2 = 26/12
the remaining vacation time is
201/12 - 21/12 - 56/12 - 26/12 = 98/12 = 49/6
49/6 = 8 and remainder 1 = (8×6 + 1)/6 = 8 1/6 days
Please help this has to be done tomorrow
The surface area of the right rectangular prism is 398 square meters
How to determine the surface area of the right rectangular prism?The net of the right rectangular prism is the given parameter
On the net of the right rectangular prism, we have the following values
Length, l = 11 m
Width, w = 9 m
Height, h = 5 m
The surface area of the right rectangular prism is calculated using
Surface area = 2 * (l * w + l * h + w * h)
So, we have
Surface area = 2 * (11 * 9 + 11 * 5 + 9 * 5)
Evaluate the sum of products
So, we have
Surface area = 2 * 199
Evaluate the products
So, we have
Surface area = 398
Hence, the surface area of the right rectangular prism is 398 square meters
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Cuál es la igualdad que se cumple en una matemática
Answer:
Igualdad matemática es la proposición de equivalencia existente entre dos expresiones algebraicas conectadas a través del signo = en la cual, ambas expresan el mismo valor. La relación de igualdad establecida en una expresión de este tipo se emplea para denotar que dos objetos matemáticos expresan el mismo valor.
Igualdad matemática es la proposición de equivalencia existente entre dos expresiones algebraicas conectadas a través del signo = en la cual, ambas expresan el mismo valor. La relación de igualdad establecida en una expresión de este tipo se emplea para denotar que dos objetos matemáticos expresan el mismo valor.Espero te sirva :))
What is a quadrilateral
Answer: A quadrilateral is a four-sided figure.
EX: a square, a rectangle, a trapezoid, or a rhombus.
A closed plane figure or figure formed by four nonintersecting line segments which are not on the same line and connected end to end is called quadrilateral.
4/9 divided by what makes 12
PLS HELP 50 POINTS!!!
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
If each above ground level floor corresponds with its floor number on the number line, what number on the number line represents Parking A? [Type your answer as a number.]
Answer:
-1
Step-by-step explanation:
Assuming "ground level" is 0, then the one below it (parking level A) would be -1.
In figure , ABllEF, angle ABC=
[tex] {70}^{0} [/tex]
and angle EFD =
[tex] {40}^{0} [/tex]
then find x
Answer:
x = 110°
Step-by-step explanation:
It is given that,
→ AB || EF
→ <ABC = <CEF
→ <CEF = <DEF
Then the value of <DEF will be,
→ <DEF = 70°
Now according to Exterior angle property of a triangle the value of x will be,
→ x = <DEF + <EFD
→ x = 70 + 40
→ [ x = 110° ]
Hence, the value of x is 110°.
Answer:
x = 110°
Given:
AB||EF means the sides are parallel and the angle is same in both.
[tex]\triangle ABC = \triangle FED[/tex]Find the missing angle inside the triangle:
= 180° - (40° + 70°)
= 180° - 110°
= 70°
Now the missing angle and x sum ups to 180° on a straight line:
x + 70° = 180°x = 180° - 70°x = 110°For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
56,18
Answer:
74
Step-by-step explanation:
(74)-18=56
74 subtracted from 18 gives 56
PLEASE CAN SOMEONE ANSWER THIS! Thank you pls
Answer: draw a parallelogram like figure A and make it the same area of the unlabeled rectangle.
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
The transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).
What transformation occurs from f(x) to g(x)?The equations of the functions are given as
f(x) = |x|
g(x) = |x + 3|
The above implies that
g(x) = f(x + 3)
When a function is shifted to the left by h units, it is represented as
g(x) = f(x + h)
This means that
h = 3
So, the transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).
Hence, the required transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).
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Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
A furniture store has a sale offering 10% off of all furniture. If Amanda spent $459.99 on furniture before tax, what was the price of the furniture she purchased before the discount and before tax?
Answer:
0.9x=459.99, $511.10
Step-by-step explanation:
If the original cost was x, the cost after the discount is 0.9x.
[tex]0.9x=459.99 \\ \\ x=\frac{459.09}{0.9}=511.10[/tex]
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2), what is the equation for a parallel street that passes through (−2, 6)?
a. y equals negative one-half times x plus 5
b. y equals negative one-half times x plus 1
c. y = 2x + 10
d. y = 2x − 14
PLEASE HELP
Answer: B is the correct answer
Step-by-step explanation:hope it helps, brainliest? i could really use it
A researcher is conducting a study to determine the mean trough dosage of medication for a population. Assuming a previous study was conducted for the same medication and the mean trough dose was found to be 490 mg with a standard deviation of 50 mg, calculate the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals.
a. E = ± 4.19
b. E = ± 63.57
c. E = ± 4.00
d. E = ± 0.27
The margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals is C . E = ± 4.00
How to calculate the value?Based on the information, the following can be deduced:
n = 600
mean = 490.
standard deviation = 50.
At 95% confidence interval, z will be:
= 1 - 95%
= 0.05
Using the distribution table, the value will be Z(0.05/2) = Z value of 0.025 = 1.96
Therefore, the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals will be:
= ± 1.96 × 50/✓n
= ± 4.00
In conclusion, the correct option is C.
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Mitchell Elementary students are collecting soup labels to raise money for their school. In the first week, the students brought in 525 labels. They brought in 580 the second week and 635 labels in the third week. If the students collect soup labels at this rate, in which week will they bring in more than 1,000 labels?
log_(4)9x^(2)=log_(2)(5x-8). Solve for x
The value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4
How to solve for x in the equation?The equation is given as
log₄(9x²) = log₂(5x - 8)
Apply the change of base law of logarithm
So, we have
log(9x²)/log(4) = log₂(5x - 8)
Express 4 s 2^2 and 9 as 3^2
So, we have
log(3x)²/log(2²) = log₂(5x - 8)
Apply the power law of logarithm
So, we have
2log(3x)/2log(2) = log₂(5x - 8)
Evaluate the quotient
So, we have
log(3x)/log(2) = log₂(5x - 8)
Apply the change of base law of logarithm
So, we have
log₂(3x) = log₂(5x - 8)
Cancel out the common base
So, we have
3x = 5x - 8
Collect the like terms
So, we have
3x - 5x = - 8
Evaluate the like terms
So, we have
-2x = - 8
Divide both sides by -2
So, we have
x = 4
Hence, the value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4
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3x the sum of 3 and some number is 24 what is the number
Answer:
×=8
Step-by-step explanation:
24 divide by 3 is 8
8 x 3 is 24