Answer:
$6
Step-by-step explanation:
4 loaves of bread ---- $8
1 loaf of bread ---- $8 ÷ 4 = $2
one bag of oranges --- $5 - $2 = $3
two bags of oranges --- $3 × 2 = $6
one basket of apples --- $12 - $6 = $6
The cost of a basket of apples is $6.
3. How would you write the edge length of Alistair's box using a
cube root?
Answer:
cube root is what number can go into it 3 times
Step-by-step explanation:
for example, the cube root of 27 is 3, because you can times 3x3x3 and get 27. Another example is the cube root of 125 is 5, because you can times 5x5x5 and get 125.
The required length of the side is in the form of the cube root of the box is side = ∛volume.
Given that,
To write the edge length of Alistair's box using cube root.
Volume is defined as the ratio of the mass of an object to its density.
Here,
Assuming the box as a cube,
The volume of the cube = Side³
Volume = side³
side = ∛volume
Thus, the required length of the side is in the form of the cube root of the box is side = ∛volume.
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I need help answering this question if possible please.
The value of cotθ where θ is in fourth quadrant is [tex]-\frac{5}{\sqrt{171} }[/tex] which is option (A).
Trigonometric ratios are defined as the values of all trigonometric functions based on the aspect ratio values of a right triangle. The ratio of the sides of a right triangle to one of its acute angles is known as the trigonometric ratio of that particular angle. The three sides of a right triangle are: hypotenuse (longest side) , vertical (opposite of angle) , Base (side adjacent to corner) According to the Pythagorean theorem, in a right triangle (90 degrees), the square of the hypotenuse equals the sum of the squares of the other two sides.
It is given that cosθ = 5 /14 . ....(1)
As we know that cosθ = Base / Hypotenuse ...(2)
On comparing equation (1) and (2) , we get
Base = 5 and Hypotenuse = 14
Using Pythagorean theorem , we get
Hypotenuse² = Perpendicular² + Base²
14² = P² + 5²
196 = P² +25
171 = P²
± [tex]\sqrt{171}[/tex] = P
Then , cotθ = Base / Perpendicular
= ±[tex]\frac{5}{\sqrt{171} }[/tex]
As in fourth quadrant cotθ is negative so cotθ will be negative.
So , we will consider the negative value .
Cotθ = - [tex]\frac{5}{\sqrt{171} }[/tex]
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For the following data, approximate the mean number of unused vacation days at the end of the year.
column chart ( (Days Frequency)(1-3 1)(4-6 22)(7-9 14)(10-12 2)(13-15 17) )
The mean number of unused vacation days is 8.64.
What is the mean number?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.
To find the mean of the unused vacation days, find the midpoint of the upper and lower boundary and then multiply by its respective frequency and divide the sum by the sum of frequency.
Days Frequency Mid point (mid point x frequency)
1 - 3 1 (1 + 3) / 2 = 2 (2 x 1) = 2
4 - 6 22 (4 + 6) / 2 = 5 (5 x 22) = 110
7 - 9 14 (7 + 9) / 2 = 8 (8 x 14) = 112
10 - 12 2 (10 + 12) / 2 = 11 (11 x 2) = 22
13 - 15 17 (13 + 15) / 2 = 14 (14 x 17) = 238
Sum 56 484
Mean - 484 / 56 = 8.64
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You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean backpack weight.
Give your answer as a decimal, to two places
Answer:
3.14
Step-by-step explanation:
Given that:
Mean weight (m) = 79 ounces
Population standard deviation (s) = 13.1
Sample size = 47
Maximal margin of error associated with 90% confidence interval.
The margin of error is given by:
Zcritical * (standard deviation / sqrt(sample size)
Z critical at 90% confidence interval = 1.645
Hence,
Zcritical * (standard deviation / sqrt(sample size)
1.645 * 13.1 / sqrt(47)
1.645 * (13.1 / 6.8556546)
1.645 * 1.9108313
Hence, the margin of error is :
3.1433174885
= 3.14
THE DIFFERENCE OF
TWO NUMBERS IS 10,WHILE THEIR PRODUCT IS 39.FIND THESE NUMBERS
The numbers are 13 and 3.
Let the numbers be x and y. Equation representing difference of these numbers-
x - y = 10 : equation 1
Equation representing product of these numbers- x × y = 39 : equation 2
Rewriting the equation 2 in terms of y
y = 39/x : equation 3
Keeping the value of y from equation 3 in equation 1
x - 39/x = 10
Multiplying the equation by x
x² - 39 = 10x
Rearranging the equation
x² - 10x - 39 = 0
Factorising the equation
x² - 13x + 3x - 39 = 0
x(x - 13) +3 (x - 13) = 0
(x + 3) (x - 13) = 0
Value of x = 13 and -3
Taking positive value of x
Keeping value of x in equation 3
x = 13
y = 39/13
y = 3
Hence, the numbers are 13 and 3.
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find the domain and function of y=6+9x/6-|x-1|
Thank you so soooo much for the help!!
======================================================
Explanation:
Rule: We cannot divide by zero.
Because of that rule, we'll set the denominator equal to zero and solve for x. This way we can determine the x value(s) that are to be excluded from the domain.
6 - |x-1| = 0
|x-1| = 6
x-1 = 6 or x-1 = -6
x = 6+1 or x = -6+1
x = 7 or x = -5
Those x values are to be excluded from the domain, since they make the denominator zero.
Imagine a number line in which we poked open holes at -5 and 7
The portion to the left of -5 is x < -5The portion between -5 and 7 is -5 < x < 7The portion to the right of 7 is x > 7Combining everything gets us x < -5; -5 < x < 7; x > 7
is y=9(2x) linear or non linear
Answer:
Linear
Step-by-step explanation:
You can simplify the equation by distributing the 9 in:
y = 18x ⇒ And this equation is indeed linear
So, that means that y = 9(2x) is linear
Hope this helps! :)
y = 9(2x) is a linear function as the function given exactly one output for one input.
Given that,
To determine whether the given expression is a linear function or nonlinear function,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The given function y = 9(2x)
Simplifying the given function,
y = 18x
Above relation shows that y has linear relationship with x,
Thus, y = 9(2x) is a linear function as the function gives exactly one output for one input.
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pls help worth a lot of points
When combining lengths to make a new length does the order or lengths matter? ( this is the acrobat Cecil tightrope thing)
Answer: It does not matter.
Step-by-step explanation:
Its because of the commutative property.
HELP PLEASE EITHER ONE!! JUST SHOW ME HOW!! THANK YOU
What amount would you have if you deposited $2,500 a year for 30 years at 8 percent (compounded annually)?
Given the annual deposit amount and annual interest rate, future value of the annuity in the given period of time is $283,208.03.
What is the total amount accrued in the given period of time?Annuity is simply a mechanism to create substantial amount in future by making relatively very small periodic payments up until maturity.
It is expressed mathematically as;
F = P × (( (1+r)^(nt) - 1 )/r)
Given the data in the question;
Annual deposit amount P = $2,500Annual interest rate r = 8% = 8/100 = 0.08Compounded annually = Ones in a year = 1Time t = 30 yearsFuture value = ?Plug the given values into the equation above and solve for A.
F = P × (( (1+r)^(nt) - 1 )/r )
F = 2500 × ( ((1 + 0.08 )^(1×30) - 1 ) / 0.08 )
F = 2500 × (( (1.08 )³⁰ - 1 ) / 0.08 )
F = 2500 × ( 10.06265688 - 1)/0.08 )
F = 2500 × ( 9.06265688/0.08 )
F = 2500 × 113.28321111
F = $283,208.03
Given the annual deposit amount and annual interest rate, future value of the annuity in the given period of time is $283,208.03.
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PLEASE HELP!!!!
Directions:
In Australia, huge trees are filled with birds or sunset. Although it can be hard to see these birds at first, you can always here them! Write a decimal and a percent for each fraction.
Question:
The parrots in the tree, 8/12 are green, Round to the nearest hundredth
Select oneeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
#C
Step-by-step explanation:
I am almost 95% positive it's C because if you look at the Isosceles shaped diagram.
I GIVE BRAINLILSTE
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
A
Step-by-step explanation:
He increased by 10% because of 80% to 90% is 10%
So, the Answer is A
Answer:
12.5%
Step-by-step explanation:
The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.
First, find the difference 90-80=10
Then find the percent of 80 that the difference is.
10/80=0.125
0.125 in a percent form is 12.5%
So, there was a 12.5% increase.
can you help i need a lot of help ASAP
Answer:
fhgjhkjl;
Step-by-step explanation:
free points
its the third one
(Please need help )Cedrick traded his Halloween candy with his friends. He likes Snickers as his favorite
candy. If Cedrick had 32 pieces of candy, and after trading with his friends, came home
with 28 Snickers. What percent of his candy consists of Snickers?
Answer:
87.5%
Step-by-step explanation:
28/32=0.875
0.875*100= 87.5
87.5% of 32 = 28
Question
Find the volume of a cone with height 5 feet and radius of its base 5 feet. Use 3.14 for it. Round the answer to the nearest
hundredth.
Answer:
26.183 ft^3
Step-by-step explanation:
Step one:
given
cone
height 5 feet and
radius of its base 5 feet
Required
The volume
Step two:
the formula for the volume of a cone is
v=1//3πr^2h
substitute
v= 1/3*3.142*5*5
v=78.55/3
v=26.183 ft^3
Which point is located at 3/4
Answer:
The point with coordinates (-3,4) is located in quadrant II. The point with coordinates (-4,0) is located on the x-axis. The point with coordinates (0, -5) is located on the y-axis.
Answer:
in the upper right Quadrant.
Step-by-step explanation:
I hope this helps
A horse has a speed of 10 miles per hour. The horse has
already traveled 15 miles. How many miles will it travel in total
if it rides for another 4 hours?
Answer:
10×4 = 40
Given,
already travelled 15 miles
so,
40+15
55 miles
Therefore, The It travels 55 miles
I don't whether it's right or wrong
Write the slope-intercept form of the equation of the line through the given point and slope.
Through: (1,-1) and Slope = 1 *
2y−3x=−27
5y+3x=6
x=x=x, equals
y=y=y, equals
Answer:
x = 7
y = -3
Step-by-step explanation:
You can add both standard equations to cancel out x, and solve for y.
Because -3x + 3x = 0.
Then substitute the solved y value into either equation to find x.
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression
for Cecil's weight in terms of Dylan's weight.
Answer: Cecil’s weight is the sum of Alan's weight and Bruce's weight.
Alan’s weight in terms of Dylan's weight is 2d + 3.
Bruce’s weight in terms of Dylan's weight in 3d − 12.
So, the expression for Cecil’s weight in terms of Dylan’s weight is (2d + 3) + (3d − 12).
1/9 of the shirts sold at the shop are striped .5/8 of the remainder are printed .the rest of the shirts are plain shirts .if peter shop has 81 plain colored shirts how many more printed shirts than plain shirt
Answer:
Step-by-step explanation:
Let total shirts be x.
Then, Striped shirts = 1/9x
Remaining Shirts= 8/9x
Therefore, Printed Shirts = 5/8 × 8/9x
= 5/9x
Remaining Shirts
or
Plain Shirts= x - ( 5/9x + 1/9x )
= 3/9x
Acc. to problem,
Plain Shirts=81
Therefore,
3/9x=81
=> x=81×9/3
=> x=27×9=243
Therefore,
Total Shirts= 243
I hope that helps you
Answer: 54
It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D
Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
Step-by-step explanation:
Original = $874,990
New = $769,991
874,990 - 769,991/874,990
104,999/874,990
0.12
Turn to percentage
0.12 * 100
= 12%
Answer:
12%
Step-by-step explanation:
Given:
Original list price = $874,990New list price = $769,991Percent change formula
[tex]\sf percent\:change=\left|\dfrac{final\:value-initial\:value}{initial\:value} \right|\times 100[/tex]
Substitute the given values into the formula:
[tex]\begin{aligned}\implies \sf percent\:decrease & = \sf \left|\dfrac{769991-874990}{874990} \right|\times 100\\& = \sf 0.1200002286 \times 100\\& = \sf 12.00002286... \\& = \sf 12\% \end{aligned}[/tex]
Therefore, the Percent of Decrease (markdown) to the nearest percent is 12%.
2x + 4y =450 4x + 2y = 420
2x+4y=450
2x=450-4y
x=450-4y÷2----- equation 1
4x+2y=420
4x=420-2y
x=420-2y÷4----- equation 2
putting the value of x in equation 1
x=450-4y÷2
420-2y÷4=450-4y÷2
2(420-2y)=4(450-4y)
840-4y=1800-16y
840-1800=-16y-4y
-960= -12y
y=80
putting the value of y in equation1
2x+4y=450
2x+4×80=450
2x+320=450
2x=450-320
2x=130
x=130÷2
x=65
the value of x is 65 and y is 80Can someone help me please
Answer:
[tex]2x^2+4x+2[/tex]
Step-by-step explanation:
[tex](f \circ g)(x)=f(g(x)) \\ \\ =f(x+1) \\ \\ =2(x+1)^2 \\ \\ =2(x^2+2x+1) \\ \\ =2x^2+4x+2[/tex]
Answer:
the other answer is right mark them as brainliest!!!
Step-by-step explanation:
why do you think baby Yoda is awsome admit it you can resist the cuteness of baby Yoda do the math you can't
Answer:
I love baby Yoda.
Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3
Answer:
Baby Yoda is indeed very cute
Step-by-step explanation:
They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given
a ship sails 677km (to 3s.f) on a high tide on the sea 8hrs to the nearest hour. calculate its speed in km/hr correct to 3s.f
The speed of the ship is the distance travelled divided the time taken to reach the shore here the answer will be 677/8 = 84.625km/hr.
The given sum is basically a sum of time distance and speed . here we are provided with the distance and the time taken for the ship and we are asked to calculate the speed of the ship. We know the formula that Distance = speed*time so from this formula we can calculate the speed of the ship that is : speed = distance/time taken ,
we are provided with the distance = 677km and the time taken to cover that distance is 8hrs .As we have the necessary information we can now calculate the speed of the ship with which it covered the distance of 677km in a time span of 8 hours.
according to the question :
distance = 677 km
time taken = 8hour
∴ speed=distance/time
= 677/8 = 84.625km/hr
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At a concession stand, one hot dog and one hamburger cost $2.75; one hot dog and cost $11.75 . Find the cost of one and the cost of one .
The cost of hot dogs are 1.25 and the cost of hamburgers are 1.50.
How to calculate the cost?Let x=hot dogs a/
Let y = hamburgers
x + 7y = 11.75
x + y = 2.75
Subtract the second equation from the first.
x + 7y = 11.75
-(x + y = 2.75)
------------------------
6y = 9.50
divide by 6
y = 1.50
Substitute the y value in the simplest equation to solve for x
x + y = 2.75
x + 1.50= 2.75
-1.50 -1.50
x = 1.25
Hot dogs are 1.25 and hamburgers are 1.50.
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At a concession stan,one hot dog and one hamburger cost $2.75, one hot dog and seven hamburgers cost $11.75. Find the cost of one hot dog and one hamburger
PLEASE HELP MARKING PEOPLE AS BRAINLIDR ALL DAY THANK YOU
Answer:
T(1,0)
Step-by-step explanation:
At a particular factory, every product is inspected by two men. The first inspector catches 80% of the defectives and sends them back for repairs. All the remaining items are sent to a second inspector, who misses about 40% of the defectives that get past the first inspector.
Given that a product was found to be defective, what is the probability that it was found by the first inspector?
The probability that a defective product was found by the first inspector is 80% since the first inspector catches 80% of the defectives.
What is probability?Probability is a linear scale measurement of the likelihood of an outcome occurring out of many possible outcomes.
Probability refers to the chance that something or an event happens when other events could have occurred.
Probability is measured in percentages, fractions, or decimals. The probability of an outcome does not exceed one. When it is one, it shows that the event is certainly going to happen.
Data and Calculations:Percentage of defectives found by the first inspector = 80%
Percentage of defectives not found by the first inspector = 20% (1 - 80%)
Percentage of defectives not found by the second inspector = 40%
Percentage of defectives found by the second inspector = 60% (1 - 40%)
Thus, the probability that a defective product was found by the first inspector is 80% since the first inspector catches 80% of the defectives.
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