Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.
What is Units conversion?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.
As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,
Pounds to Ounces
[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]
Grams to Ounces
[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]
Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,
[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]
Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.
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Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 4)(0,4) and (2, 256)(2,256).
Answer:
Step-by-step explanation:
[tex]y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x[/tex]
Can someone help me with math I need help I will attempt to give y’all help too!
Answer:
48%
Step-by-step explanation:
there are 250 cars in total 50+70 is 120 (the red or blue cars)
so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%
that are equivalent to 4(3x + 3)
Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .
Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .
Brainliest available
Find "X"
I think you meant solve [tex](4^2)x(2^9)[/tex]
Answer:
8192
Step-by-step explanation:
Given:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
Solution:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
[tex]=4^2x \:2^9[/tex]
[tex]4^2=16[/tex]
[tex]=16x \:2^9[/tex]
[tex]2^9=512[/tex]
[tex]=16x\:512[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]
[tex]=8192[/tex]
~lenvy~
Answer:
=> 8192
Step-by-step explanation:
Given :
(4²)x(2⁹)
=> (16)x(512)
=> 16.512
=> 8192
Please I need help with these, use the picture to answer the questions below
Each dashed line segment is a(n)?
There are _____ congruent triangles in a regular hexagon.
Find the perimeter.
Find the radius of this hexagon.
Answer:
There are 6 congruent triangles in a regular hexagon.
The triangles are equilateral (all sides are equal in length).
Using side length of equilateral triangle formula:
[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]
where x is the side length and h is the height
[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]
[tex]\sf \implies x=\sqrt{48}[/tex]
[tex]\sf \implies x=4\sqrt{3} \ units[/tex]
Therefore, perimeter = 6 × 4√3 = 24√3 units
Radius = side length of triangle = 4√3 units
Side Be a
[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]
[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]
[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]
[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]
Perimeter:-
4(4√3)=16√3unitsa locker requires a three-digit code to open the lock. the code must contain one letter and two numbers, and no letter or number can be repeated. you can choose from among four letters, a,b,c and d and two numbers, 5 and 6
Answer:
4 ways
Step-by-step explanation:
Given
Code consists of 3 digits1 letter and 2 numbersNo number/letter should be repeatedPossible combinations
a56b56c56d56⇒ 4 waysWrite an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).
Answer:
[tex]\boxed{\sf{y=2x+7}}[/tex]
Step-by-step explanation:
Use a slope formula and slope-intercept formula.
Slope-intercept formula:
[tex]\sf{y=mx+b}[/tex]
The m represents the slope.
The b represents the y-intercept.
Slope formula:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]
Rewrite the problem down.
[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]
The slope is 2.The y-intercept is 7.y=2x+7
Therefore, the correct answer is y=2x+7.I hope this helps you! Let me know if my answer is wrong or not.
please help :(
I'll give brainliest!
Answer:
58km
Step-by-step explanation:
perimeter of rectangle= 2x(l+b)
2x(28+1)
2x29=58
If x=3, y=-2, z=-1 ,find the value of 3x-4y+z
I really need help
Answer:
16
Step-by-step explanation:
Since, x=3, y=-2, z=-1
We can Substitute:
3(3)-4(-2) + -1
9 -4(-2)+-1
9 + 8 + -1
17 - 1
16
~Lenvy~
What is 5 x 3/20 as a fraction in its simplest form
Answer:
3/4
Step-by-step explanation:
You can form the product, then cancel common factors, or you can cancel common factors before you form the product.
__
[tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]
A group of friends wants to go to the amusement park. they have $285.75 to spend on parking and admission. parking is $13.75, and tickets cost $34 per person, including tax. how many people can go to the amusement park?
Answer:
assuming they only have to pay for parking once, 8 friends can go, if each person has to pay for parking and ticket only 5 people can go, Im assuming it'll be 8 for the answer tho I hope I'm right
There are 8 people can go to the amusement park.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total amount = $285.75
Parking = $13.75
Price of ticket per person = $34.
So, money left after paying for parking
=285.75 - 13.75
= 272
Now, number of people in amusement park
= 272/34
=8
Hence, 8 people can go to the amusement park.
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A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
Find the volume of the prism.
Answer: The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.
Find the final price of a $149 iPod with a 10% discount
and 5% sales tax.
Answer:
140.80
Step-by-step explanation:
Not completely sure if my answer is correct
How many different triangles can you make if you are given the measurments or two sides an angle that is not between those two sides
Answer:
2.
Step-by-step explanation:
This is called the ambibuous case where 2 sides are given and angle opposite one of these sides.
2 traingles are possible.
please help, what would the answer be?
16% of 250 is equal to 250% of 16. True or false
Answer:
TrueStep-by-step explanation:
16% of 250
250*16/100 = 40250% of 16
16*260/100 = 40Both outcomes are same so the answer is True
Let's check
16% of 250
0.16(250)40250% of 16
2.5(16)40Yes true
One side of this regular hexagon has been extended to form an exterior angle.
Use given information to find m Angle p.
Check the picture below.
PLEASE HELP ME!!!!!!!
Answer:
10 hours
Step-by-step explanation:
multiply b 2 then divided the miles and time and add to the total to get the time and miles you need
QUICK please help meeee.
Answer: A. Obstacle
Step-by-step explanation: They have the same meaning.
If VZ=p–7 and WY=p–21, what is the value of p?
Answer:
p = 35
Step-by-step explanation:
the midsegment WY is half the measure of VZ , that is
WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )
p - 21 = [tex]\frac{1}{2}[/tex] (p - 7) ← multiply through by 2 to clear the fraction
2p - 42 = p - 7 ( subtract p from both sides )
p - 42 = - 7 ( add 42 to both sides )
p = 35
.) What is the sum? -3/4+(-3/4)
Answer:
The answer is -1.5
Step-by-step explanation:
Hope that helps.
Answer:
Step-by-step explanation:
-3/4 + (-3/4) remove parentheses
-3/4- 3/4 calculate the difference
-3/2 or - 1 1/2 or -1.5
a 21ft ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 19ft from the base of the building. how high up the wall does the ladder reach
Answer:
According to the graph:
H^2 + 10^2 = 21^2
Solve as:
H = 18.19 feet
So the height is 18.19 feet
HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH
Answer:
1062
Step-by-step explanation: Find the area of each side then add it all up
What is the slope-intercept equation for this line?
Answer:
y=-2x-1
Step-by-step explanation: This is because of rise/run. This means rise, count up or down until you hit the line that is horizontal to where your line intersects a whole point. Then run, what you count horizontal matches with your rise count. This means we can count 2/1 and since it's going down it's negative. So the slope is -2 and the y-intercept is -1 because it intersects through the y-intercept -1.
3x2 + 6x = 12 (using quadratic formula)
The area of the triangle below is 4.06 square meters. What is the length of the base?
S=0,5ha
4.06=0,5ha
ha=8.12
a=8.12/h
Hi! Im stuck on this question please help, thanks
Answer:
I guess it is 43.57 Hope it helps!!!
A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P'Q' A'B' and M'N' 2 cm 1.5 cm M 3 cm N B What are the lengths of the images? Drag the answer into the box to match each segment. Ρ'Ο AB 1 M'N' ໃ & 0.75 cm 1 cm 1.5 cm 3 cm 4 cm 6 cm
need to do this QUICK!
The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm
What is dilation?
Dilation is the increase or decrease in the size of an figure or object.
A dilation with a scale factor of 2 is applied to the three line segments shown to form P'Q', A'B', and M'N'.
Hence:
P'Q' = scale factor * PQ = 2 * 2 = 4 cm
A'B' = 2 * 1.5 = 3 cm
M'N' = 2 * MN = 2 * 3 = 6 cm
The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm
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If the value 0.125 is rewritten as X%, what is the value of ?
Answer:
12.5%
Step-by-step explanation:
0.25 * 100
= 12.5%