Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
The lines shown below are parallel. If the green line has a slope of-4, what is
the slope of the red line?
10
A.
B. 4
- 10
-5
5
10
C. -4
O
-5
D.
4
10 -
Th slope of red lines is -4
What is parallel lines?Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
The property of parallel lines states that slope of both lines will b same.
Therefore slope of red lines is -4
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If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
Find the radius of a circle with an area of 1,124 sq feet.
Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25
Answer:
the awnser is D) $41.25.
what is 13 more than 3 times a number is 34 and what is the solution
Answer:
13 + 3x = 34
Variables:
x = random number
PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?
2) How many degrees are in 11π over 6?
Answer:
1) about 1.57 radians
2) I'm not sure about this one sorry
Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?
Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that [tex]P(0) = 440, t = 5[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 440(1+r)^5[/tex]
What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So
[tex]P(t) = 440(1+r)^5[/tex]
[tex](1+r)^5 = \frac{520}{440}[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]
[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.034[/tex]
Then
[tex]r = 1.034 - 1 = 0.034[/tex]
The required interest rate would be of 3.4% a year.
Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)
Answer:
160%
Step-by-step explanation:
(65 - 25 )/25 x 100% = 160%
Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!
Step-by-step explanation:
3x+11=57
subtract 11 from both sides and you will get this
3x=46
Divide by 3
42/3. 3/3
X=14
Answer:
15.333
Step-by-step explanation:
3x+11=57(y)
reverse the question
so:
57-11=46
46 divided by 3=15.333
so x=15.333
hope that helps
thank you
19NBoli
pls help me on this !!!
Abcdefghijklmnopqrstuvwxyz
Answer:
50
Step-by-step explanation:
22 + 18 = 40
90 - 40 = 50
no way you can round it
please show an actual answer i need help
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
Answer this please I’ll give brainalist + points, please help!
Answer:
The answer is C because the largest mode is the longest set with the biggest numbers
Step-by-step explanation:
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl. The baker then uses 52.76 grams of the mixture in a cake. How many grams of the mixture does the baker still have? Enter your answer in the box.
Answer:
9.045 grams
Step-by-step explanation:
You add the 42.68+19.125=61.805
Then take 61.805- 52.76=9.045
The number of grams of mixture that the baker still has is 9.045 grams.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Given that,
A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.
Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams
So,
Total weight of the mixture = 61.805 grams
The baker then uses 52.76 grams of the mixture in a cake.
Remaining grams of the mixture = 61.805 grams - 52.76 grams
= 9.045 grams
Hence the remaining mixture is 9.045 grams.
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Destinee bought a tablet for $599 and enrolled in a data plan for $25
per month. The total amount y Destinee has paid towards the tablet after x months is found using an equation in the form y = mx + b.
What is the value of m and b?
Vx
What is the percent decrease when the balance in a bank account goes from $300 to $60?
O The percent decrease is 20%.
O The percent decrease is 25%.
O The percent decrease is 80%.
O The percent decrease is 87%
Answer:
C. 80%
Step-by-step explanation:
What is the simple interest rate for a $5,000 investment
that become $5,750 at the end of 2 years?
Answer: the answer is r=7.5%
Step-by-step explanation:
You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown
Now you plug in what you know:
5750=5000(1+2r)
Divide 5000 on both sides
Decimal form: 1.15=1+2r
Subtract -1 on both sides
0.15=2r
And lastly divide by 2 on both sides
0.075=r
BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE
r=0.075*100=7.5%
The coordinate grid shows the plot of four equations.
Which set of equations has (-1, 5) as its solution? (4 points)
1) A and B
2) B an d 3) A and C 4) B and C
Answer:
Your answer would be A and B
Step-by-step explanation:
Simply look for the coordinates on the graph and look for the name of the lines that intersect there.
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
C.
Step-by-step explanation:
The median is the line in the middle of the box plot.
C is the answer because 75 is the largest median out of all the choices.
I need to finish this but im confused :(
Answer:
basically, with each value of x, you replace it by x on the equation
Step-by-step explanation:
y=1/3(12)
y=4
--------
y=1/3(3)
y=1
--------
y=1/3(18)
y=6
-------
hope this helped!
answer and show work and ill give brainliest
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answer:
exposed is another word for endangered
What is the length of AB?
Answer:
AB = 5
Step-by-step explanation:
The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3 times as long, and the side opposite the 90 degree angle will be twice as long.
In this case we just divide 10 by 2
Answer:
5 cm
Step-by-step explanation:
Sin 30° = opposite / hypothenus
= AB / 10cm
AB = sin 30° × 10 cm
= 5 cm
Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]
Answer:14
Step-by-step explanation:
The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)
the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime
7*2=14
Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)
Answer:
360 mi^3
Step-by-step explanation:
The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values
solid 1
length = 11 - 4 = 7 mi
base area = length x width = 7 x 4 = 28 mi^2
V = base area x height = 28 x 6 = 168 mi^3
solid 2
base area = 8 x 4 = 32 mi^2
V = 32 x 6 = 192 mi^3
total volume: 168 + 192 = 360 mi^3
The volume of the figure is 360 mi³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a figure where two rectangular boxes are put on top of each other.
Volume of a rectangular prism = L × W × H
Here L is the length, W is the width and H is the height.
The dimensions of the rectangular prism are :
Larger one having L = 11 mi, W = 6 mi and H = 4 mi
Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.
Volume of the figure = volume of larger box + Volume of smaller box
= (11 × 6 × 4) + (4 × 6 × 4)
= 264 + 96
= 360 mi³
Hence the volume of the figure is 360 mi³.
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If a family has four children, determine the probability that exactly two of the
children are girls
Answer:
the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%
Step-by-step explanation:
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
Help please, due soon!
Step-by-step explanation:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
given r = 10 in
h = 30 in
Volume of Cylinder =
[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]
Please take note in this case choose the answer closest to the answer calculated.
Answer:
9,420 in^3
Step-by-step explanation:
V = π r^2 h
V = 3.14 · 10^2 · 30
V = 3.14 · 100 · 30
V = 3.14 · 3,000
V ≈ 9,420
Pls help I'm sleep deprived rn and am almost done with this
Answer:
6π units
Step-by-step explanation:
Given::
Radius = 4
Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°
Arc length = θ/360 × 2πr
Plug in the values
= 270/360 × 2 × π × 4
= 0.75 × 8 × π
= 6π units
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?