The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7
How to determine the ratio?The given ratios are:
Dawn : Mandy = 6 : 7
Mandy : Belle = 2 : 3
Multiply the second ratio by 3.5.
So, we have:
Mandy : Belle = 2 * 3.5 : 3 * 3.5
Evaluate
Mandy : Belle = 7 : 10.5
So, we have:
Dawn : Mandy = 6 : 7
Mandy : Belle = 7 : 10.5
Mandy's ratios in both equation are the same.
So, we have:
Dawn : Mandy : Belle = 6 : 7 : 10.5
Remove Mandy's ratio
Dawn : Belle = 6 : 10.5
Simplify
Dawn : Belle = 4 : 7
Hence, the ratio of Dawn to Belle's savings is 4 : 7
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The total debt to total assets of lans landscaping was 0.51. The total of lan assets was $234,00. What the amount of total debt?
The total amount of debt is $119,340.
What is the amount of total debt?The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio
Total debt ratio = total debt / total asset
total debt = value of the ratio x value of the assets
0.51 x $234,000 = $119,340
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How much should you put in an investment paying a simple interest rate of 5% if you needed $4000 in eighteen mont
Answer:
$ 53,333.33
Step-by-step explanation:
The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.
Work:
First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation
P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333
P = $ 53,333.33
What is the third angle on a triangle with angels of 45 and 45?
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
what is the third angle of a triangle with angles of 45 and 45?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].
❖ Here we are given 2 angles:-
45 and 45, which add up to 90.
❖ Subtract 90 from 180:-
90
✶ So the angles are 45, 45 and 90.
Good luck.
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Answer:
90 degrees.
Step-by-step explanation:
As there are 180 degrees in a triangle
third angle = 180 - 45 - 45 = 90 degrees.
Can someone help with this? I've been stuck on this for a while
Step-by-step explanation:
how is that math ?
anyway,
*♡ = O
●* = H
arrow up and filed triangle = E
arrow down and 3/4 circle = R
isaac gets paid $400.00 per week plus a commission of $10.00 for every item he sells. write the equation that shows the relationship between the number of items he sells and his weekly income.
Answer:
400w + 10x
I have no idea what I'm doing
Find the area of the yellow region.
Round to the nearest tenth.
5ft
Answer: 9.3
I calculated the area of the square, then I calculated the area of the circle. Then I subtracted the two.
Answer:
5.3
Step-by-step explanation:
A square has equal sides
LXW=A
5x5= 25
diameter of the circle is 5 ft
D/2=R 5/2= 2.5
Area of a circle is [tex]\pi r^2[/tex] (Pi=3.14)
[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25= 19.625.
Area of yellow region
Area of square - Area of circle.
25-19.625 = 5.375 rounded to nearest 10th is 5.3
PLEASE HELP!!!!!!! IMA DESPRATE!!!!!!! A radioactive isotope decays exponentially. The time it takes for half of the amount to decay is called the isotope's half-life. If an isotope has a half-life of 16 hours and you initially have 154 mg, how much will you have left after 64 hours? Round to the nearest thousandth.
Since the isotope is initially 154 mg, the amount of radioactive isotope left after 64 hours is 9.625 mg
To answer the question, we need to know what radioactive decay is.
What is radoactive decay?Radioactive decay is the spontaneous disintegration of a larger atom to a smaller one
What is half-life?Half-life of a radioactive isotope is the time it takes for the isotope to decay to half its initial value.
Amount left after n half livesThe amount left after n half lives is N = (1/2)ⁿN₀ where N₀ = initial mass of isotope.
Given that the half-life of the isotope is 16 hours, and we desire the amount present after 64 hours.
The number of half-lives after 64 hours is n = time/half-life
= 64 h/16 h
= 4
Since we have 154 mg of isotope present, N₀ = 154 mg
Given that
n = 4 and N₀ = 154 mgSubstituting the values of the variables into N, we have
N = (1/2)ⁿN₀
N = (1/2)⁴ × 154 mg
N = 154 mg/16
N = 9.625 mg
So, the amount of radioactive isotope left after 64 hours is 9.625 mg
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A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $712 on equipment, and 11% of the total budget on props. What was the total budget for their student film?
Answer:
800 dollars
Step-by-step explanation:
The amount spent on equipment is 89% of the total
712÷89 = 8 x 100 = $800
Find the approximate values of the five-number summary for the data set represented by this box plot.
05 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Please hurry!!!
Answer: Minimum: 0
Quartile Q1: 22.5
Median: 50
Quartile Q3: 77.5
Maximum: 100
Step-by-step explanation:
Can someone answer these 2 for me please ? :)
Answer:
1) B. (6,-3)
2) D. (-8,-2)
Please solve (high points)
Answer:
a = 13.24 m
Step-by-step explanation:
Finding ∠A :
∠A + ∠B + ∠C = 180° (Angle Sum Property)∠A = 180° - 48° - 54°∠A = 180° - 102°∠A = 78°Applying the Law of Sines :
a / sin78° = 10 / sin48°a / 0.98 = 10 / 0.74a = 13.51 x 0.98a = 13.24 mAnswer:
13.2 m
Step-by-step explanation:
The Law of Sines can be used to solve a triangle when angles and one side are known.
__
setupThe angles of a triangle total 180°, so the missing angle A is ...
∠A = 180° -48° -54° = 78°
The Law of Sines tells us ...
a/sin(A) = b/sin(B)
a/sin(78°) = (10.0 m)/sin(48°)
__
solutionMultiplying by sin(78°), we find ...
a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)
a = 13.1623 m
The length of side 'a' is approximately 13.2 meters.
Which of the following is the correct factorization of the polynomial below?
What is the area of the square with a length of 3/4 and a width of 3/4, in square units?
Which is least? 1.26 ÷ 0.3 OR 7.84 ÷ 5.6
so clearly...the 2nd one is the least
hope it helps...!!!
Answer:
7.84 / 5.6 is least
Step-by-step explanation:
1. 1.26 / 0.3
= 4.2
2. 7.84 / 5.6
= 1.4
answer of 1. is 4.2 and 2. is 1.4
1.4 is less than 4.2
Right triangles and trigonometry
Answer:
x=5.11
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees
We also know one of the sides is 42, another is x, and the other one is not marked
We want to find the value of x, which we can do using trigonometry
The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse
Cosine, which is adjacent/hypotenuse
Tangent, which is opposite/adjacent
First, let's find which side is which
The side opposite the 64 degree angle is the opposite; this side is the side marked as 42
The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x
The hypotenuse in this case would be the side that hasn't been marked yet
Since we are given values for both the opposite and the adjacent, let's use tangent to find x
Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.
Therefore, the ratio will be:
[tex]tan(64)=\frac{42}{x}[/tex]
Now we need to solve for x; start by multiplying both sides by x
x * tan(64) = 12
Now divide both sides by tan(64)
x = [tex]\frac{12}{tan(64)}[/tex]
Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode
[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)
So x is about 5.11
Hope this helps!
Topic: trigonometry in right triangles
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free easy point just answer pls, i need help!!!
Answer:AA , BB , and CC are parallel to MN.
Step-by-step explanation:
A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.
Answer:
A, D, E
Step-by-step explanation:
AREA OF SQUARE
[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]
AREA OF RECTANGLE
[tex]x(x - 2) = x^2 - 2x[/tex]
Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.
[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]
Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.
HELP PLS I NEED help this is to get my grade up
Answer: Around 10 days. The real answer is 10 2/3.
Answer:
10 and 2-third days.
Convert mixed number to improper fraction
Initial equation
[tex]\frac{176}{9} / \frac{11}{6}[/tex]
Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11
[tex]\frac{176 * 6}{9 * 11}[/tex]
[tex]= \frac{1056}{99}[/tex]
Simplify.
[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]
Which of the following are solutions to the quadratic equation below?
Check all that apply.
x^2+ 6x + 9 = 2
Answer:
C & D
Step-by-step explanation:
x^2+6x+7=0
Delta=b^2-4ac=6^2-(4*1*7)=36-28=8
X=((-b)+-(delta)^(1/2))/2
X=((-6)+-(2^(3/2)))/2
[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]
Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.
Which equation can be used to find x, the distance from school to his aunt’s house?
The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles + 10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles + 10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10
There are two boys and 23 girls, what’s the ratio of girls to all children?
Answer:
23:25
Step-by-step explanation:
Answer:
23/25 23 to 25 23:25
Step-by-step explanation:
Two boys 23 girls=25 children
girls=23
23/25
Match each function with its range.
Step-by-step explanation:
1. y <= 0
2. all real numbers
3. y >= 0
4. y >= 2
5. y >= -2
6. y <= 2
|2x+1|=-13 what is the answer
Answer:
There is no answer
Because absolute value causes a positive answer and it is written here -13 !!!
it's impossible
I really need help answering this!
Answer: 15
Step-by-step explanation:
Pythagorean theorem: c^2 = a^2 + b^2 where c is hypotenuse, a and b are legs.
In this problem:
a = 20
c = 25
b - ?
b^2 = c^2 - a^2
b^2 = 25^2 - 20^2
b^2 = 625 - 400
b^2 = 225
b = sqrt(225)
b = 15
The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10
Answer:
n ≤ 4
Step-by-step explanation:
"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3
n-7 ≤ -3
Add 7 to both sides
n ≤ 4
Answer is n ≤ 4
See picture attached for the math
Which doubles fact helps help you solve 5+6=11
We have to double 5 and add 1 to get the same result.
5 + 5 + 1 = 11
We can also double 6 and subtract 1 to get the same result.
6 + 6 - 1 = 11
Hope this will helpful.
Answer:
They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.
ANSWER CORRECTLY FOR BRAINLIEST!! (ALGEBA)
Answer:
267.95 cubic yards
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
radius: 4 ydVolume:
4/3 π(radius)³insert values
4/3 (3.14)(4)³simplify
267.9466final answer
267.95 yd³does anyone know how to turn this into written form?
Answer:
Down below
Step-by-step explanation:
First one: Sixth root of B. Second one: Fourth root of X to the Z power. Third one: Square root of nine to the third power. Fourth one: M root of M to the P power. Fifth one: Square root of J to the two plus x power.
Sorry if this is wrong. I'm almost positive this is correct. The only one I'm not sure about is the third one and maybe the last one. Since there's no two there I'm not sure if it would still be called the square root.
I need helppppppp :((
Answer:
H x/10 = 18/8
Step-by-step explanation:
The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.
__
[tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]
_____
Additional comment
The values used in the other answer ratios are not "corresponding."
Answer:
H
Step-by-step explanation:
∠ADE is a scaled version of ∠ ABC.
So,
18:8
and
10:x
Ratios can be expressed as fractions:
[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].
Since the scale factor is the same,8/18 has to be the same as 10/x.
Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].
Hope this helps!!!
Please mark me as brainliest!!!
This took a lot of effort.
Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for π.
A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?
The volume of the can is about _____.
Answer:
1230.9
step by step explanation: