Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
What are Units conversions?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,
Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69
= €398.31
Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,
[tex]\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72[/tex]
The amount that is left with Kari,
[tex]\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)[/tex]
[tex]= \$585-\$580.72\\\\=\$4.28[/tex]
Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,
[tex]\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72[/tex]
Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.
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Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?
In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.
please help
Answer:
It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.
I got this answer by doing the formula for a cylinder
Blue cup Green cup
(π)(2^2)(8) (π)(4^2)(8)
= 32π =128π
Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink
To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.
It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.
It is required to find how many cupfuls of water to empty the sink.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
Sink volume V = 512π cubic inches
The blue cup diameter d(b) = 4 in or radius r(b) = 2 in
and height h(b) = 8 in
The green cup diameter d(g) = 8 in or radius r(g) = 4 in
and height h(g) = 8 in
The cup is the shape of a cylinder we know the volume of a cylinder is given by:
[tex]V = \pi r^2 h[/tex]
Volume for the blue cup:
[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex] [ r(b) = 2 in and h(b) = 8 in]
v(b) = 32π cubic inches
Volume for the green cup:
[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex] [r(g) = 4 in and h(g) = 8 in]
v(g) = 128π cubic inches
For a number of blue cups:
[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16
For a number of green cups:
[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4
Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.
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help! will give brandie’s t to correct answer
Answer:
0.25+0.6= 0.9166666667 or 11/12
Step-by-step explanation:
hope this helps
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply.
The equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
What is a Leading Coefficient?A leading coefficient is the term that has the highest degree in a polynomial expression.
What is a Constant?A constant is a term that has only numbers and contains no variable.
We are given the following equations:
0 = 3x² + 2x – 2 0 = –2 – 3x² + 3 0 = –3x + 3x² – 2 0 = 3x² + x + 2 0 = –1x – 2 + 3x²The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.
Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
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find the value of x in the triangle below
Answer:
√80 (Option A)⠀
Step-by-step explanation:
⠀
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
Let,
x be AC, where AC is the Hypotenuse.4 be AB, where AB is the Perpendicular.8 be BC, where BC is the Base⠀
We know that,
[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]
[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]
⠀
Therefore,
The value of x is √80The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.
So, By Pythagoras theorem
[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]
[tex]x = \sqrt{16 + 64} [/tex]
[tex]x = \sqrt{80} [/tex]
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216
The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.
Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given expression is 8x² − 144x + 864
Let y = 8x² − 144x + 864
also, y - 864 = 8x² - 144x
by Extracting common factor 8 on the right side
y - 864 = 8(x² - 18x)
Add (18/2)² on both sides, we get
y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)
y - 864 + 648 = 8 (x² - 8x + 9)
on simplification
y - 216 = 8 (x - 9)²
y = 8(x - 9)² + 216
therefore, y = 8 (x - 9)² + 216
The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.
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Please Help I Don't Understand. Thank You.
Answer:
Step-by-step explanation:
20x = 1029y find the value of x and y.
Answer:
find value of X and y and you can get answers
Solve by substitution or elimination
Answer:
x=8, y = 0
Step-by-step explanation:
Substitution is easier for this problem.
3x + y = 24 ---> y = 24 - 3x
x^2 + y = 64
Substitute y
x^2 + 24 - 3x = 64
x^2 - 3x = 40
Factor out x
x(x-3) = 40
Pretty much you can guess and check
x = 8
If x = 8, y = 0
or
x^2 - 3x = 40
Complete the square
x^2 - 3x + 2.25 = 42.25
(x-1.5) ^2 = 42.25
Square root both sides
x - 1.5 = 6.5
x=8
x - 1.5 = -6.5
x = -5
Check
x = -5 doesn't work, so x = 8 and y = 0
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
Choose 3 values that would make this inequality true. 8n + 4 ≤ 28
Choices:3,6,13,2,5,14,1
Answer:
1,2,3
Step-by-step explanation:
1*8=8+4+12<28
2*8=16+4=20<28
3*8=24+4=28=28
help SOS Stevie needed twine for the gifts she was wrapping for a family party.
lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Determine the point estimate of the population mean and margin of
error for the confidence interval with lower bound 19 and upper bound: 27.
Using confidence interval concepts, it is found that:
The point estimate of the population mean is of 23.The margin of error is of 4.Given a confidence interval what are the point estimate of the population mean and the margin of error?A confidence interval has two bounds, a lower bound and an upper bound.A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.The margin of error is the difference between the two bounds, divided by 2.In this problem, the interval is (19,27), hence the point estimate is:
P = (19 + 27)/2 = 23.
The margin of error is:
M = (27 - 19)/2 = 4.
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Complete this proportion: 6/8 = a/12.
Answer:
9
Step-by-step explanation:
6 x
- = -
8 12
the relationship from 8 to 12 is divided by.666666666666
So, we do the same for 6
We get 9.
Equations, graphs, Slopes and y-intercepts : application
Answer:
the answer to the graph is y=-4x-3
Answer:
y = -4x - 3
Step-by-step explanation:
The given line has :-
slope = -4y-intercept = (0, -3)Substituting in slope-intercept form
y = mx + by = -4x - 3What is the slope of this line whose equation is y=1/6x-1/2
Answer:
The slope = 1/6.
Step-by-step explanation:
The general form for a straight line is
y = mx + c where m is the slope
So in this case m = 1/6.
what is pi and why do we need it
Answer:
Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
PLEASE SOLVE will give brainliest!!
Answer:
♂️
Step-by-step explanation:
Sry dunno the answer
Can u just give brainliest pls?
The perimeter of the figure is 90ft. What is the area.
Additional knowledge: figure is a semi circle, use 3.14 or 22/7 as pi to solve
Answer:
1289.8089172
Step-by-step explanation:
if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172
The are 3 blue marbles, 4 red marbles and 2 yellow marbles. Find the ratio of blue marbles to red and yellow marbles.
Question 2 options:
3:2
4:3
3:4
1:2
Answer:
3;4
Step-by-step explaining
do the first to ratios the 3rd doesnt matter
b. Maria is watching cell growth in a lab. The cells double every 30 minutes. If there were 3 cells
initially, how many cells are there in 5 hours
Answer:
3072
Step-by-step explanation:
The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...
y = (initial value) × (growth factor)^(t/(growth period)
y = 3 × (2^(t/(1/2)) = 3×2^(2t)
After 5 hours, the number of cells will be ...
y = 3×2^(2·5) = 3×2^10 = 3×1024
y = 3072
There are 3072 cells in 5 hours.
_____
Additional comment
The function could be simplified to ...
y = 3×4^t
Could the following side lengths make a right triangle?
28, 53, 45
Answer:
no. the triangle would be acute
Step-by-step explanation:
[tex]a^2 +b^2=c^2[/tex] ← formula for right triangle
↓
[tex]28^2+53^2=45^2[/tex]?
↓
[tex]28^2=784\\53^2=2809\\45^2=2025[/tex]
↓
[tex]784+2809=3,593[/tex]
↓
[tex]3,593 > 2025\\a^2 +b^2 > c^2[/tex]
which means the triangle is acute, not right.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Find the lateral area of a cone.
Answer: B. 1178 cm²
What we are solving for:
The lateral area is, put simply, the surface area of the cone not including the bottom.
The formula is:
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Height of the cone:
This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.
a² + b² = c²
15² + b² = 25²
225 + b² = 625
b² = 400
b = [tex]\sqrt{400}[/tex]
The height is 20 cm
Solving:
Back to the formula,
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]
L ≈ 1178.1 cm²
The lateral area of the cone is B. 1,178 cm².
Kim and Steven went to dinner. Kim had a coupon for 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was 75.00, what is the discount price, not including tax and tip.
Answer:
$56.25
Step-by-step explanation:
75%*75.00 = 56.25
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
45 m³
54 m³
69 m³
108 m³
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
The volume of a right prism.Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
Where:
L is the length.W is the width.H is the height.V is the volume.Given the following data:
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
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Answer: 54 m³
Step-by-step explanation: proof with more answers
Not spinning a 5 and flipping tails
Btw the spinner is 1-5
Answer:
Im confused w ur question or i dont know maybe im just dum.b
Step-by-step explanation:
if u help me and answer correctly ill give brainlest thanks
Answer:
10/4 in simplest form 5/2
Step-by-step explanation:
Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2
The rectangular model is made up of squares. Each square is of equal size. What percentage of the model is shaded?
Answer:
44.5 percent is shaded.
from whole model, 44.5% is shaded of 100%
What is the surface area of this rectangular pyramid?
5 m
4 m
4 m
square meters
ILL GIVE BRAINLIEST
Answer:
A=61.23
Step-by-step explanation:
steps for Is (–5, 5) a solution to the equation y=x?
Answer:
Step-by-step explanation:
To check , substitute x = -5 and y = 5 into the given equation:
y = x
5 = -5
which is not true so (-5, 5) is not a solution.
A manager drew this box-and-whisker plot to represent the ages of the company's 240 employees.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.
How many employees are younger than 42?
Select from the drop-down menu to correctly complete the statement.
About
Choose... 24,48,60,75
employees are younger than 42.
Answer:
its 60
Step-by-step explanation:
i took the test
Answer:
60
Step-by-step explanation:
just took the test !!! got 100%