Answer:
19.6 gallons
Step-by-step explanation:
divide 225 by 10 and you get 22.5 this means you are getting 22.5 miles per gallon so all you have to do is divide 441 by 22.5 and you get 19.6 so you are going to need 19.6 gallons to drive 441 miles
A chocolatier is creating chocolate truffles in the shape spheres. The truffles will be solid chocolate and have a radius of 2.5 cm. How much should each truffle weigh if chocolate weighs 0.71 grams per cubic centimeter? (round to the nearest tenth, if necessary)
The truffles will have a volume of [Answer] cubic centimeters and will weigh a total of [Answer] grams.
Answer: Volume: 65.4 Weight: 46.4
Step-by-step explanation:
Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.
What is density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
We're given that:
The chocolate weighs 0.71 grams per cubic centimeter. This is density of the considered chocolate, as it is telling that 0.71 grams of chocolate is available per cubic cm.The chocolate truffles are in shape of sphere with radius 2.5 cmVolume of each chocolate truffle = volume of sphere with radius 2.5 cm
= [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]
One cubic cm has 0.71 grams weight,
so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]
Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.
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please help me please
Answer: 8 x 2 = 4
1 x 4 = 4
9 x 3 = 27
2 x 4 = 8
Step-by-step explanation:
you are shopping in a video store and have $49.50 to spend each DVD costs $4.25. ESTIMATE the maximum number of DVDs you could buy?
With a total of $49.50 one would be able to buy 12 DVDs in the video store
Estimation of NumbersGiven data
Amount at hand = $49.50Cost per DVD = $4.25Required: the Number of DVDs that can be bought
The expression for find the number of DVDs is given as
Number of DVD = Total Amount/Cost per unit
Number of DVD = 49.50/4.25
Number of DVD =11.64
Hence $49.50 would buy approximately 12 DVDs
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A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?
By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.
How to find the distance?Basically, we need to find the length of the missing side of the shown triangle.
So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.
Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:
a^2 = b^2 + c^2 - 2bc*cos(A).
In this case we define:
b = 300ydc = 275 ydA = 13°Replacing that we get:
a^2 = (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2
a = √(4,853.94yd^2) = 69.7 yd
So the distance between the golfer and the hole is 69.7 yd.
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Can someone help me please
first add the ratio numbers which is 12
[tex] \frac{2}{12} \times 6000 = 1000[/tex]
then divide 1000 with 175
=5.71
5.71×2.25
=12.85 ruro
Sue gets 4 texts every 10 minutes. How many texts does she get in a week
Answer:
she gets 280 texts in a week
Step-by-step explanation:
just multiply 4 times 10 then multiply that answer which is 40 then multply 40 times 280
A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?
Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal, after each n years.In this problem:
The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.Then, the equation is:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
The value would be of $3,800 at t for which A(t) = 3800, hence:
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]
[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]
[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]
[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]
[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]
t = 19.68.
It would take 19.68 years for the value of the car to be $3,800.
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Answer:
t≈19.7
Step-by-step explanation:
I do not have one, I apologize.
Find the area of the trapezoid. {?} Square centimeters
Answer:
68
Step-by-step explanation:
Use the formula provided...
6 and 11 are b1 and b2, and 8 is h.
So, 6+11 = 17
17/2 = 8.5
8.5*8 = 68
Angel had $21 to spend on two notebooks. After buying them he had $13 left. How much did each note book cost?
Answer:
each notebook would cost $4
Step-by-step explanation:
21-13=8. 8/2=4
You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric
Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1
Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00
Answer:
a). Geometric sequence
b).
c). $46945.21 will be the salary at the start of 5th year.
Step-by-step explanation:
My salary for the first year is $37185.
If I get an increase of 6% every year then the next year salary will be,
= $39416.1
Similarly in the second year my salary will be
= $41781.07
So the sequence becomes $37185, $39416.1 $41781.07.....
And there is a common ratio in each successive term 'r' = 1.06
a). Therefore, it's a geometric sequence.
b). Explicit formula for this sequence will be in the form of
Where t = duration in years
c). Salary at the start of 5th year,
= $46945.21
Step-by-step explanation:
Which type of data would be considered qualitative data?
The type of data which would be considered as the qualitative data is the smell of the plant.
What is qualitative data?
The qualitative data is the data which describes the quality or the characteristics of a thing.
Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.
The options for the problem are listed below.
Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.Thus, the type of data which would be considered as the qualitative data is the smell of the plant.
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PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?
Answer:
17
Step-by-step explanation:
replace x with 5
3*5+2
next you use pemdas
you multiply before you add
3*5=15
15+2=17
Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.
Hello!
Total brownies: 16 (so that's the denominator of the fraction)
Brownies with nuts: 6 (that's the numerator of our fraction)
The fraction is:
[tex]\bf{\displaystyle\frac{6}{16}}[/tex]
Divide the numerator (6) and denominator (16) by 2:
[tex]\bold{\displaystyle\frac{3}{8}}[/tex]
That's the answer.
I hope everything is clear.
Let me know if you have any questions!
#KeepLearning :-)
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
⇒ Given:
Conner made 16 brownies.
Put nuts on 6 brownies.
⇒ To Find:
Write the simplified fraction of the brownies that had nuts.
⇒ Solution:
Since Conner made 16 brownies:
16 brownies is the total also known as denominator of a fraction.
Since, Conner put nuts on 6 brownies:
6 brownies is the ones that has nuts also known as numerator of a fraction.
Thus, the fraction is [tex]\frac{6}{16}[/tex].
It a even number thus, we can simplify:
[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]
[tex]=\frac{2\cdot \:3}{16}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8[/tex]
[tex]=\frac{2\cdot \:3}{2\cdot \:8}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{3}{8}[/tex]
Therefore, the simplify fraction of the brownies that had nuts is [tex]\frac{3}{8}[/tex]
`~lenvy~`
Jasmine has four rectangular baking pans. Which of the pans has the greatest volume?
Pan D: 8 in. by 8 in by 2 1/2 in.
Pan A: 9 in. by 16 in by 1 1/2 in.
Pan C: 9 in. by 9 in by 2 in.
Pan B: 9 in. by 13 in by 1 in.
Answer:
16 11/2
Step-by-step explanation:
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In the rectangle below, sketch the position of the ribbons and outline a right triangle with a diagonal of the rectangle as the hypotenuse. Then, label the right triangle below the rectangle with the appropriate lengths from the problem.
The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.
What is the length of the ribbon needed?The length of the ribbon needed can be determined using the Pythagoras theorem.
The Pythagoras theorem: a² + b² = c²
where
a = length
b = base
c = hypotenuse
√4.5² + 6²
√36 + 20.25 = 7.5 feet
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Triangle ABC is congruent to B triangle A"B"C".
Which sequence of transformations could have been used to transform triangle abc to produce triangle A'' B'' C''? transform triangle ABC triangle A"B"C"?
A. Triangle ABC was translated 7 units down and then 9 units right.
B. Triangle ABC was translated 10 units to the right and then reflected across the x Axis.
C. Triangle ABC was reflected across the x Axis and then translated 9 units right.
D. triangle ABC was reflected across the y Axis and then translated 7 units down.
Answer: D
Step-by-step explanation:
A national survey is conducted to assess the association between hypertension and stroke in persons over 75 years of age with a family history of stroke. Development of stroke is monitored over a 5 year follow-up period. The data are summarized below and the numbers are in millions. Compute the RELATIVE RISK of stroke in hypertensive as compared to non-hypertensive persons.
The relative risk of stroke in hypertensive as compared to non-hypertensive persons will be 1.8367.
How to calculate relative risk?From the complete information, those with hypertension that had strike is 12. Those with no hypertension but had stroke is 4.
Also, those with hypertension but don't have stroke is 37 while those with no hypertension but had stoke is 26.
Therefore, the relative risk will be:
= (12/12 + 37) / (4/4 + 26)
= 12/49 / 4/30
= 1.8367
In conclusion, the correct option is 1.8367.
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I'm hopeless at these pls help
Answer:
x = -14 I hope this helps :)
Jackson recorded the following data: 2,5, X, 2, 4, 3. If the mean
of the data is 3, what is the value of x? Explain how you found your answer
Answer:
x = 2
Step-by-step explanation:
mean = sum of data / number of data
3 = 2 + 5 + x + 2 + 4 + 3 / 6
3 = 16 + x / 6
18 = 16 + x
2 = x
The missing value of data is 2.
What is arithmetic Mean?The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
We have,
Data: 2,5, X, 2, 4, 3
Mean= 3
So, Mean
3 = Sum of data/ Total number of data
3 = (2 + 5 +x + 2 + 4 +3)/ 6
18 = 16 + x
x = 18 - 16
x= 2
So, the missing value of data is 2.
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#SPJ2
Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.
Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:
Monthly payment = $3250 / 12 = $270.83
Money owed = $3,766 - $3,250 = $516
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
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A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet
Answer:
28
Step-by-step explanation:
area = width x height
area = 7 x 4
area = 28 square feet
Given -
A rectangular bathroom mirror is 4 feet tall and 7 feet wide.ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .
To find -
the area of the mirrorSolution -
As we know to find the area of rectangle we use the formula, Area = L × B
Hence, we will be doing the same.
Area = 4 × 7
Area = 28 square feet
Plssss help me with this!!!! It’s really hard
Answer:
2x < 10 would show that even 'if' x would make 2 larger, it still wouldn't match up to 10. But in this case, 2 would turn into 10. 10 = 10.
A 10" x 10" sheet of paper is cut diagonally into two congruent right isoscele
triangles. What is the area of each triangle?
Answer:
20
Step-by-step explanation:
.
Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Find the value of X and show your work.
[tex]3x-17+x+40+2x-5=180\\3x+x+2x-17+40-5=180\\6x+18=180\\6x=180-18\\6x=162\\x=27[/tex]Answer:
Step-by-step explanation:
Since the sum of all interior angles of a triangle sums up to 180.
how many blue cars are there
Answer:
81 blue
54 red
Step-by-step explanation:
let me know if this is helpful!
Find the solution to the set of equations.
2x + 1 = y
4x + 2 = y
Answer:
(-1/2. 0)
Step-by-step explanation:
Given
y = 2x + 1 [correct form of writing a linear equation!]y = 4x + 2Solving for x
Equate both values of y to find the value of x⇒ 2x + 1 = 4x + 2⇒ 2x = -1⇒ x = -1/2Solving for y
Plug the values of x into one of the equationsy = 4(-1/2) + 2y = -2 + 2 = 0Solution
(x, y)(-1/2. 0)[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required solution set is :
[tex]\qquad \sf \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]
See the attachment for solution ~
I really need help on understanding how the exponents relate to each other ?
because after the exponents it devides
Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.
help pls
Answer: 98g
Step-by-step explanation:Given relationshipSalt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g