Answer:
yo cant help u good do
The distance on the map between Yappy city and Quiet city is 23 cm.
What is the actual distance between citys?
The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
The distance on the map between Yappy city and Quiet city is 23 cm
and,
5cm = 2 miles
now, for 1 cm on map it is equal to 2/5 miles of actual distance.
Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :
actual distance :
2/5 x 23 = 9.2 miles
Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.
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Divide and simplify. ∛64 x⁹ y³ / ∛8 x³
Solving the problem by Dividing and simplifying we have as a result 2x⁶y³
What is a division?A division is a basic mathematical operation, which has the purpose of dividing a number or element into two or more equal parts, as follows:
Dividend |_divisor
Divisions can also be expressed as a fraction as : a/b
What is simplification?Simplification is a process of reducing terms to expressions, which do not generate changes or values.
The algebraic expression we will divide and simplify to its smallest expression is:
∛64x⁹y³ / ∛8 x³
We solve the cube roots and substitute results, to split terms
∛64 = 4∛8 = 24x⁹y³ / 2x³
we can see that it is an expression that has two variables
2x⁹⁻³y³
2x⁶y³
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Two financial institutions offer different deals to new customers. The first bank offers an interest rate of 3% for the first year and 2 % for the next two years. The second bank offers an interest rate of 2.49 % for three years. You decide to invest the same amount of principal in each bank. To answer the following, assume you make no withdrawal or deposits during the three-year period.
b. Write a function that represents the total amount of money in the account in the second bank after three years.
Total amount of money in the account in the second bank after 3 years will be represented by the function: P[tex]e^{0.0747}[/tex].
The formula for calculating the amount (A) on a principal (P) invested at the rate of r%, compounded continuously after t years is-
A = P[tex]e^{rt}[/tex]
Here, we are given that there are 2 financial institutions-
1st financial institution:
interest rate = 3% for the first year
and interest rate for next two years = 2%
2nd Financial institution:
interest rate = 2.49% for three years
Let the principal amount deposited be P
We assume that the interest is compounded continuously.
Then for the 2nd bank-
Amount = P[tex]e^{rt}[/tex]
here, r = 2.49%
= 0.0249
Amount = P[tex]e^{0.0249 * 3}[/tex]
= P[tex]e^{0.0747}[/tex]
Thus, the total amount of money in the account in the second bank after 3 years will be given by the function- P[tex]e^{0.0747}[/tex].
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5(10h²-20h -30) what’s the answer it’s dueee today
I could be wrong, but your answer should be: [tex]50h^2-100h-150[/tex].
--------------------------------------------
Hope this helps!
Have a great day and God bless! :)
Answer:
[tex]50h^{2} -100h -150[/tex]
Step-by-step explanation:
Assuming that h has no defined value, all we have to do here is multiply every defined number(non-variable numbers) in the parentheses here by 5.
[tex]5(10h^{2} -20h -30)[/tex] Given
[tex]50h^{2} -100h -150[/tex] 5x10=50, 5x(-20)=-100, and 5x(-30)=-150
ANSWER RIGHT AWAY FOR 14 POINTS
what is 9,349,000,000,000 in scientific notation
9.349 × 10^12 (^ means to the power of)
A jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make? how many beads of each type are on each necklace?
The number of beads of each type that are on each necklace will be 6 beads.
How to illustrate the information?It should be noted that the jewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same number of necklaces she can make.
Therefore, it van be seen that the highest common factor between 24 and 30 is 6.
Therefore, the number of beads of each type that are on each necklace will be 6 beads.
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Solve for v
-11.4+5v=1.1
Help NEEDED PLEASE!!!!!!
Compare square root of one hundred sixty and one hundred fifteen ninths using <, >, or =.
The comparison of the numbers are √160 > √115.1
How to compare the numbers?The numbers are given as
square root of one hundred sixty and one hundred fifteen ninths
Rewrite properly as
√160 and √115.11
By comparing the radical of both numbers, we have
160 and 115.11
160 is greater than 115.11
Hence, the comparison of the numbers are √160 > √115.11
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find three consecutive odd integers such that the third is 9 more than twice the sum of the first and second
Answer:
Step-by-step explanation:
let the three consecutive odd numbers be x,x+2,x+4
9+x+4 = 2(x+x+2)
thus x =
25%x4000=?
With explanation, please
Answer:
1,000
Step-by-step explanation:
25% as a decimal is .25
.25 x 4000
1,000
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{25\% \times 4,000}\\\\\mathsf{= \dfrac{25}{100}\times 4,000}\\\\\mathsf{= \dfrac{25\div25}{100\div25}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1}{4}\times \dfrac{4,000}{1}}\\\\\mathsf{= \dfrac{1\times4,000}{4\times1}}\\\\\mathsf{= \dfrac{4,000}{4}}\\\\\mathsf{= 4,000\div4}\\\\\mathsf{= 1,000}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{1,000}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]i dont know how people understand this.. help please
Based on the alternate exterior angle theorem, if m<1 = m<2, the statement which is true is that: B. n || m.
What are parallel lines?Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.
In this context, we can reasonably infer and logically deduce that the true statement which best proves that lines n and m are parallel is that angle 1 is congruent to angle 2 because by definition, all alternate exterior angles are congruent, if two (2) parallel lines are cut by a transversal.
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A punch recipe calls for one and 12 quarts of sparkling water and 3/4 of courts of grape juice how much of each ingredient would you need to make 75 quarts of punch sparkling water group juice
Answer:
a punch recipe calls for one and 12 quarts of sparkling water
Step-by-step explanation:
Answer:
Sparkling water: 50 quarts
Grape Juice: 25 quarts
Step-by-step explanation:
The punch recipe uses 1 1/2 quarts of water and 3/4 quarts of grape juice
That would make a total of
1 1/2 + 3/4 = 3/2 + 3/4 = 6/4 + 3/4 = 9/4 quarts of punch
Therefore to make 75 quarts, we have to figure out how many of 9/4 quarts would be needed.
This is 75 ÷9/4
Dividing by 9/4 is same as multiplying by 4/9
75 ÷9/4 = 75 x 4/9 = 300/9 = 100/3
So we will need 100/3 times as much of both ingredients
For sparkling water this would be
1 1/2 x 100/3 = 3/2 x 100/3 = 300/6 = 50 quarts
For grape juice we will need
3/4 x 100/3 = 300/12 = 25 quarts
(Or we can subtract 50 from 75 to get 25 quarts)
One January day in Munich, the temperature at noon was 3°C. At midnight the
temperature was -8°C. Write down the difference between these two
Temperatures.
Difference between temperatures is 11°C
As in the given problem we are provided data as
Temperature in Munich at Noon: 3°C
Temperature in Munich at Midnight: -8°C
to find out the difference we need to substract the temperature
Thus, Difference between temperatures will be:
3°C -(-8°C)
=> 3°C + 8°C
=> 11°C
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What is the coefficient in this expression 2 + m/4
Find the values of X & Y
By using the fact that the two lines with the purple arrow are parallel, We can conclude that the angles are y = 133° and x = 47°
How to find the measures of angles x and y?First, notice that the two lines with the purple arrow are parallel lines, and these lines are intersected by the same line, then the 4 angles formed in the above line are the same ones than in the below line.
So, if the angle in the fourth quadrant of the above intersection is the same as the angle in the fourth quadrant of the below intersection, then we can see that:
y = 133°
And x + y should be equal to 180°, then:
133° + x = 180°
x = 180° - 133° = 47°
We can conclude that the angles are y = 133° and x = 47°
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2(x+4)= 4x + 3-2x+5
does it equal an integer, no solution, or infinite solution?
The average cost of regular gasoline in texas increased by 35% from
2010 to 2013. if the average cost of a gallon of gas in 2010 was $2.53, what was the
average cost in 2013? round to the nearest cent
Average cost of a gallon of gas in Texas in 2013 was $3.42.
Given,
Average cost of a gallon of gas in Texas in 2010 = $2.53
From 2010 to 2013 average cost of regular gasoline in Texas increased by 35%
We have to find the average cost of a gallon of gas in Texas in 2013:
= Average cost in 2010 × (135/100)
= 2.53 × (135/100)
= 2.53 × 1.35
= 3.4155
≈ 3.42
That is, the average cost of a gallon of gas in Texas in 2013 was $3.42 approximately.
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x(x-6) < 7
Solve the quadratic inequality. Write the solution set in interval notation.
Answer:
- 1 < x < 7 or x ∈ (- 1, 7)=============================
Given inequalityx(x - 6) < 7Distribute and simplify, then find the x-intercepts:
x(x - 6) < 7x² - 6x < 7x² - 6x - 7 < 0x² - 7x + x - 7 < 0x(x - 7) + (x - 7) < 0(x + 1)(x - 7) < 0The x- intercepts are:
x + 1 = 0 and x - 7 = 0x = - 1 and x = 7Since the leading coefficient is positive, the graph opens up, so the interval between the x-intercepts is negative:
- 1 < x < 7 or x ∈ (- 1, 7)
Pls help and explain
Consider the sequence with first term 2 and second term 4. If these are the first two terms of a geometric sequence, what is the third term?
The third term of a given geometric sequence based on common ratio 2 is 8.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
Given a geometric sequence.
First term = 2
Second term = 4
Common ratio = Next term / previous term
Common ratio = 4/2 = 2
So,
Common ratio = Third term / second term
The third term = common ratio × second term
The third b = 2 × 4 = 8
Hence "The third term of a given geometric sequence based on common ratio 2 is 8".
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A person who weighs 125 pounds on Earth would weigh 47 2/10 pounds on Mercury. Set up a proportion and solve using means and extremes to determine how much a child who weighs 50 pounds on Earth would weigh on mercury.
Answer:
7. A person who weighs 125 ponon Earth would weigh on Mercury. S a proportion and solve using means and extremes to determine how much a child w weighs on Earth would weigh on Mercury.
Step-by-step explanation:
what is 2.34 written as a percentage
Answer:
23.4%
Step-by-step explanation:
10 = (2.34 / 10) x 100% = 23.4%.
20% of x is 15. What is x% of 120
Answer: x% of 120=3.6
Step-by-step explanation:
20% of x is 15---- .20*15=3, therefore x=3.
3%=0.03, 0.03*120=3.6
If f(x) = 2x- + 1 and g(x) = x - 7, find (f- g)(x).
Answer:
hope this helps you
(f-g)(x)=2x+1-(x^2-7)
(f-g)(x)=2x+1-x^2+7
answer : (f-g)(x)= -x^2+2x+8
Which of the following could be a real-world description of the quantity three times x end quantity divided by 8?
The real world representation of the given statement is the expression 3x/8
From the question, we are to write the real world description of the given statement.
The given statement is
"the quantity three times x end quantity divided by 8"
To write the real world description of the given expression, we will write the expression as a mathematical statement
Writing the expression as a mathematical statement
'quantity three times x" can be written as
3 × x
= 3x
Then,
"the quantity three times x end quantity divided by 8" becomes
3x ÷ 8
= 3x/8
Hence, the real world representation of the given statement is 3x/8
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HELP ASAP PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty
Answer: D
Step-by-step explanation: The student made a mistake in step 2, because angle O and P do not add up to 90, as supplementary angles add up to 180.
If 134n=54eight find n
Answer:
4.09
Step-by-step explanation:
n = 548/134
a fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries. isaiah only has 1 cup of pineapple. He reasons that because he subtracted 1 cup of pineapple he needs to use 3 cups of strawberries. is his reasoning correct? Explain.
The reasoning isn't correct.
How to explain the information?It should be noted that the fruit salsa recipe calls for 2 cups finely chopped pineapple and 4 cups of finely chopped strawberries
This implies that the ratio is:
= 2/4
= 1/2
= 1:2.
Therefore when Isaiah only has 1 cup of pineapple, the appropriate strawberry will be:
= 1 × 2 = 2
He's wrong as he doesn't need 3 cups.
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10. Three math teachers went to Office Depot to buy school supplies. Mr. Smith bought nine boxes of
pencils, three boxes of markers, and twelve packages of notebook paper for $45.75. Ms. Santana
purchased five boxes of pencils, six boxes of markers, and eight packages of notebook paper for
$41.50. While Mrs. Baker spent $128 on twenty boxes of pencils, four boxes of markers, and fifty
packages of notebook paper.
Which of the following systems of equations can determine the price of these items individually?
System of equation are,
9x + 3y + 12z = $45.75
5x + 6y + 8z = $41.50
12x + 4y + 50z = $128
Where, x is number of boxes of pencil,
y is number of boxes of markers.
z is number of packages of notebook paper.
What is System of equation?
System of equation is two or more equations to be solved together. For a system to have a unique solution, the number of equations must equal the number of unknowns.
Now, Let number of boxes of pencil = x
Number of boxes of markers = y
Number of packages of notebook paper = z
Since, Mr. Smith bought nine boxes of pencils, three boxes of markers, and twelve packages of notebook paper for $45.75.
Hence, In expression is written as;
9x + 3y + 12z = $45.75
Ms. Santana purchased five boxes of pencils, six boxes of markers, and eight packages of notebook paper for $41.50.
Hence, In expression is written as;
5x + 6y + 8z = $41.50
Mrs. Baker spent $128 on twenty boxes of pencils, four boxes of markers, and fifty packages of notebook paper.
Hence, In expression is written as;
12x + 4y + 50z = $128
So, System of equation are,
9x + 3y + 12z = $45.75
5x + 6y + 8z = $41.50
12x + 4y + 50z = $128
Where, x is number of boxes of pencil,
y is number of boxes of markers.
z is number of packages of notebook paper.
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