Answer:
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains 0.525 gallons of liquid.
2) A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains 8 quarts of milk.
The milk jug contains 7.6 liters of milk.
Step-by-step explanation:
We need to complete the statements.
1)
A soda bottle contains 2 liters of liquid. Therefore:
The soda bottle contains ------- fluid ounces of liquid.
Converting Liters to fluid ouncesWe know that 1 liter = 33.81 fluid ounces
So, 2 liter = 2 x 33.81 = 67.62 fluid ounces
The soda bottle contains 67.62 fluid ounces of liquid.
The soda bottle contains gallons of liquid.
Converting liters to gallonsAs, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons
We know that
1 liter = 1.05 quarts
2 liters = 2 x 1.05 = 2.1 quarts
4 quarts = 1 gallon
1 quarts = 1/4 gallon
2.1 quarts = 1/4 * 2.1 = 0.525 gallon
The soda bottle contains 0.525 gallons of liquid.
2)
A milk jug contains 2 gallons of milk. Therefore:
The milk jug contains -------- quarts of milk.
Converting gallons to quartsWe know:
1 gallon = 4 quarts
2 gallons = 2 x 4 = 8 quarts
The milk jug contains 8 quarts of milk.
The milk jug contains ------ liters of milk.
Converting gallons to litersWe know:
1 gallon = 4 quarts
2 gallon = 8 quarts
1.05 quarts = 1 liter
1 quarts = 1/1.05 liter
8 quarts = 1/1.05 * 8 = 7.6 liter
The milk jug contains 7.6 liters of milk.
Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.
Answer:
Kiara is correct
.............
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the figure
Slope between A and B = rise/ run 3/3 = 1
and, slope between B and C = 5/5 = 1
So, the slope between A and B is same as the slope between B and C.
Hence, Kiara has correct statement.
Learn more about slope here:
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please help! 10 points
Answer:
2ddksdfkladfkjkafadfasf
This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?
HELP! Below is the graph of a polynomial. Which statement about this graph is true?
A. The point (-2,1) is a maximum
B. The point (5,0) is an extreme
C. The point (2,-1.12) is a minimum
D. The point (2,-1.12) is a maximum
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?
Answer: 90 words per minute
====================================================
Work Shown:
270 words : 3 minutes
270/3 words : 3/3 minutes ..... divide both parts by 3
90 words : 1 minute
Brayden can type 90 words per minute (wpm).
The occupancy of the room must be less than 437 people
a) p 437
c) p ≤ 437
d) p ≥ 437
The quotient obtained when (9 greater than x) is divided by (z plus 1)
How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
Select the correct answer.
The branch manager of a clothing store is analyzing the average total bill of sale for his location. The national manager has communicated that
the overall population mean is $45.90 with a standard deviation of $10.3.1. The branch manager has a sample of 400 total bills of sale for his
location. By the central limit theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?
Answer:
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
Step-by-step explanation:
Empirical Rule:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean $45.90, standard deviation $10.31.
Sample:
By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]
Which interval can the branch manager be 95% certain that the sample mean will fall within?
By the Empirical Rule, within 2 standard deviations of the mean. So
45.90 - 2*0.5155 = $44.87
45.90 + 2*0.5155 = $46.93
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has a base salary of $300 a week plus 4% of all sales made. The second option has a base salary of $100 plus 7.5% commission on all sales. Find the sales amount that will result in the two options having the same weekly salary.
Answer:
The amount of sale is approximately 5714.
Step-by-step explanation:
Let x be the sales made that will result to the same salary and let y be the same weekly salary.
We can represent both salaries as follows:
300 + 0.04x = y
100 + 0.075x = y
Subtracting the second equation from the first, we have:
200 – 0.035x = 0
0.035x= 200
x = 200/0.035
x ≈ 5714.
Therefore, the amount of sale is approximately 5714.
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answer:
$5
Step-by-step explanation:
25-80%=5
Lesson 3.4 different forms of liner
Equation
How do you solve it?
Y=2+3(×-1)
what is the slope intercept form of 7x-5y=15?
Answer:
y=7/5x-3 is the slope intercept form
The Jordan's Michael wanted were on sale for 20% off. The original price of the sneakers is $185.00. How much is the sale? Show your work
The price will be $148. $185 - 20% =$148.
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.
Hi there!
[tex]\large\boxed{x = 16}[/tex]
x / 2 - 5 = 3
Begin by adding 5 to both sides to isolate for x:
x / 2 - 5 + 5 = 3 + 5
x / 2 = 8
Multiply both sides by 2 to have "x" alone on the left-hand side:
(x / 2) × 2 = 8 × 2
x = 16
Answer:
because if x is 16
16/2 = 8 and so on 8 - 5= 3 so that is the answer
Step-by-step explanation:
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answer:
Smaller
Step-by-step explanation:
Example: say the original size is 100
increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120
reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is 96.
100>96
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
(9x+5)-(6x-8) please help.
Answer:
3x-3 i think
Step-by-step explanation:
9x-6x = 3x 5-8 = -3
What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards
Answer:
I think Your best answer would be 117 yards.
Step-by-step explanation:
Which property of multiplication is shown?
6 x 5 = 5 x 6
Answer:
Commutative Property of Multiplication
I hope this helps you :D
Commutative
The commutative property tells us that two addition and multiplication sentences are equal no matter the order.
For example:
3+4=4+3
6 x 5= 5 x 6
Hope this helps. Please give brainiest.
he line of symmetry for the quadratic equation y = ax 2 - 8x - 3 is x = 2. What is the value of "a"?
A. -2
B. -1
C. 2
9514 1404 393
Answer:
C. 2
Step-by-step explanation:
When the coefficients of the standard-form quadratic are a, b, and c, the equation of the line of symmetry is ...
x = -b/(2a)
Solving for 'a', we find ...
a = -b/(2x)
For the given values b=-8 and x=2, the value of 'a' is ...
a = -(-8)/(2·2) = 8/4 = 2
The value of "a" is 2.
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
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A school event requires at least 3 parents for every 8 kids. How many parents for 40 kids
Answer:
15 parents
Step-by-step explanation:
PLEASE HELP IM BEGGING PLEASE!!!!!!!!!!
Answer:
1. C.
2. B.
Step-by-step explanation:
Hope This Helps!!! : )
PLEASE HELP I’LL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST CORRECTLY
Use the rational zeros theorem to list all possible rational zeros of the following.
h(x)=-3x^4+5x^3-8x^2-3x+2
Be sure that no value in your list appears more than once.
Answer:
Step-by-step explanation:
[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]
roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]
Polygon ABCD has the following vertices:
A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)
Calculate the area of the polygon.
28 units squared
38.5 units squared
40.5 units squared
49 units squared
get it right because i can check and i'll not give you brainlyest
:)
To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.
The base is formed by the segment connecting point A and point B.
While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.
The formula for area of trapezoid is given as:
A = b (h1 + h2) / 2
Where,
b = base of the trapezoid = 3 – (-4) = 7
h1 = shorter height = 2 – (-2) = 4
h2 = longer height = 2 – (-5) = 7
Therefore the area is:
A = 7 (4 + 7) / 2
A = 77 / 2
A = 38.5
charlie wants to make a one time investment into an account that earns 6% interest compounded semi annually. to earn $338,893 after 26 years, approximately how much money did he invest?
[tex]s = p(1 + \frac{r}{m} ) {}^{mt}[/tex]
A.$72,866.33
B.$74,492.08
C.$528,673.08
D.$217,239.10
Answer:
PV= $72,866.33
Step-by-step explanation:
Giving the following information:
Interest rate= 6% compounded semiannually
Number of periods= 26*2= 52 semesters
Future value= 338,893
To calculate the initial investment (PV), we need to use the following formula:
PV= FV/(1+i)^n
i= 0.06/2= 0.03
PV= 338,893 / (1.03^52)
PV= $72,866.33
Answer:
The correct answer is $72,866.33
I will give the BRAINIEST
Simplify. Write your answer in standard form.
(4x^3+6x-7)+(3x^3-5x^2-5x+9)
Answer:
Step-by-step explanation:
Combine like terms.Like terms have same variable with same exponent
4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x - 7 + 9
= 7x³ -5x² + x + 2