The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
How to calculate the equation?It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.
Let the number of weeks be represented by w.
Therefore, based on the information, the appropriate equation will be:
99 + (4 × w) = 195
99 + 4w = 195
4w = 195 - 99
4w = 96
Divide
w = 96/4
w = 24
Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
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anyone mind helping a girl out???
Hi!
Let's solve the equation for x!
[tex]\mid\bold{x-1\mid+5=2}[/tex]
Step 1:
Subtract 5 from both sides.[tex]\bold{\mid x-1\mid=-3}[/tex]
Now it's a little easier to solve! :')
Now, What does | | mean ?
Remember, It means "absolute value", and it's Always a positive number.
And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".
But that's impossible!
Therefore, this equation has no solutions.
I hope I helped you, have a wonderful day!
Good luck.- stargazing [tex]\tiny\pmb{0.2}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{|x - 1| + 5 = 2}[/tex]
[tex]\large\text{Add }\rm{-5}\large\text{ to both sides: }[/tex]
[tex]\mathsf{|x - 1| + 5 - 5 = 2 - 5}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\mathsf{|x - 1| = 2 - 5}[/tex]
[tex]\mathsf{|x - 1| = -3}[/tex]
[tex]\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}[/tex]
[tex]\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}[/tex][tex]\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
An olympic swim the 200 m freestyle at a speed of 1.8 m/s. an olympic runner run the 200 m dash and 21.3 seconds how much faster was the runners speed in the swimmer speed to the nearest 10th of the meter per second?
Answer: 7.6
Step-by-step explanation:
Based on the values in b77 b81 what function can automatically return the value in c77?
Based on the values in b77 b81 function can automatically return the value in c77 is Min().
How do you return a value in Excel?
Use a formula to return a value if a supplied value falls inside a certain range. Please use the Excel formula below to return a value if a given value is present in a certain range. 1. Choose a blank cell and press the Enter key after entering the formula =VLOOKUP(E2,A2:C8,3, TRUE) into the Formula Bar.Reason:
The Excel MIN function returns the smallest numeric value in a range of values. Since $721 is the minimum out of the given 5 values, we use the MIN function.
There's no such function as smallest, lowest and Bottom in excel.
The floor function rounds a given number down to the nearest specified multiple.
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12^-2 in simplest form
Answer:
Step-by-step explanation:
1/144
hope this helps :)
Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59
Percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
As given in the question,
Money spent on
Each equipment = $36
Fees = $158
Transportation = $59
Total money spent = $( 36 + 158 + 59)
= $253
Percent cost of the total spent on
Each equipment = (36/253) × 100
= 14.23%
Fees = (36/253) × 100
= 62.45%
Transportation =(36/253) × 100
= 23.32%
Therefore, percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
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One number is seven less than a second number. Five times the first is 13 more than twice the second. Find the numbers
The two numbers are found as 9 and 16.
What is explained as the linear equation in two variables?A linear equation in 2 variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 17x + 4y = 9 and -x + 6y = 12 are two-variable linear equations.For the given questions;
Let the first number be 'a'.
Let the second number be 'b'.
Then, first number is seven less than a second number.
a = b - 7
Now, 5 times the first is 13 more than twice the second.
5a = 2b + 13
Put the value of a in above equation;
5(b - 7) = 2b + 13
Simplifying;
5b - 35 = 2b + 13
3b = 48
b = 16 (second number)
a = b - 7
a = 16 - 7
a = 9 (first number)
Therefore, the two number are found as 9 and 16.
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Grayson bought snacks for his team's practice. He bought a bag of popcorn for $3. 50
and a 5-pack of juice bottles. The total cost before tax was $11. 5. Write and solve an
equation which can be used to determine j, how much each bottle of juice cost.
Please include equation and answer(j= )
If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.
The cost of each bottle can be determined by using an algebraic expression.
An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.
To find the cost of each bottle, an algebraic expression can be given as,
Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax
5j + $3.50 = $11.50
Solving for j,
5j = 11.50 - 3.50
5j = 8
j = 8/5
j = $1.6
Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6
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Find the equation of the given table in slope intercept form. The answer must be in y=mx+b format! Please show work asap!!
Answer: y = 6.75x + 6
Step-by-step explanation:
Answer:
y=6.75x+6
Step-by-step explanation:
y=mx+b
we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]
I'm going to choose 2,19.5 and 5,39.75
[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75
now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in
19.5=(6.75)2+b then multiply 6.75 by 2
19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it
6=b so the y-intercept is 6
Find the equation of the line below
A Principal of #5,600 was deposited for 3 years at compound interest If the interest earned was #1,250, find correct to 3 Significant figures, the interest rate Per annum
The annual interest rate is 6.69% for 3 years at compound interest.
What does the term "compound interest" mean?
The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]
p = 5600
t = 3
I = 1200
n = 1
The interest earned I is
I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]
1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]
[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]
[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]
[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]
[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]
Take the log base 10 of both sides
log17 - log14 = 3.log( 1 + r)
1.23045 - 1.14613 = 3.log( 1 + r)
3.log( 1 + r) = 0.084322
log( 1 + r) = 0.028107
1 + r = [tex]10^{0.28107}[/tex]
1 + r = 1.06686
r = 0.06686
The annual interest rate is 6.69%.
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i need help again lol its meee
Evaluate the expression
answer: I think the result is 12
Step-by-step explanation:
c(b+a)-a=
2(3+6)-6=
6+12-6= 12
Stella buys 5 pineapples for $4.50. How much would she pay if she bought 7 pineapples? (hint: find the unit rate first then multiply)
*
Answer:
Step-by-step explanation:
4.50 divides by 5 than times the answer by 7
Is o.227 a rational number explain
Answer: 227 is a rational number because it can be expressed as the quotient of two integers: 227 ÷ 1.
Step-by-step explanation:
georgraphers divide the worlds land masses into seven
Answer: seven continents
Step-by-step explanation:
Asia, Africa, North America, South America, Antarctica, Europe, and Australia
Ken alone takes x days to finish a project
Anson alone takes 3 days more than Ken
alone to finish the project. If they together
take 2 days to finish the project, find the
value of x.
Find a pattern for each sequence. Describe the pattern and use it to show the next two terms.
8. 1000, 100, 10, ...
9. 5, -5, 5, -5, ...
10. 34, 27, 20, 13, ...
11. 6, 24, 96, 384, ...
8. 1,1
9. 5,-5
10. 4, -3
11. 1536, 6144
The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.
8. 1000, 100, 10,
In this sequence, each term is getting divided by 10,
So, next two terms are, 1, 1
9. 5, -5, 5, -5, ..
In this sequence, each term is alternating with a minus sign,
So, next two terms are 5, -5
10. 34, 27, 20, 13, ...
In this sequence, each term is i getting substracted by 7,
So, next two term are 4, -3
11. 6, 24, 96, 384, ...
In this sequence each term is getting multiplied by 4,
So, next two terms are 1536 , 6144
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15x⁴-16x³+0x²+8x-17 ÷ (3x²+x+1)
After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
We are given an expression:
( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )
We need to perform division of the algebraic expression:
5 x² - 7 x + 4
3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17
15 x⁴ + 5 x³ + 5 x²
______________________
- 21 x³ + 5 x² + 8 x - 17
- 21 x³ - 7 x² - 7 x
______________________
12 x² + 15 x - 17
12 x² + 4 x + 4
______________________
11 x - 21
______________________
Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
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Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and C(-4,9). The triangle is transformed using the rule (x,y) -> (2x,y-3) to create triangle A'B'C'. Select all possible answers for the vertices of triangle A'B'C'. Question 1 options: (14,3) (9,3) (-6,10) (-8,6) (-6,2)
The coordinates are A'(14, 3), B'(-6. 2) and C'(-8, 6)
what is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
given rule:
(x,y) -> (2x,y-3)
Also, we have
A(7,6), B(-3,5), and C(-4,9)
so, after applying the rule we have the coordinates
A'(14, 3)
B'(-6. 2)
C'(-8, 6)
Hence, the coordinates are A'(14, 3), B'(-6. 2) and C'(-8, 6)
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Which probability value indicates that there is statistical significance? 0.9756 0.015 0.9078 0.2356
The probability value indicates that there is statistical significance in 0.015 option (b) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
The p-values are:
0.9756 0.015 0.9078 0.2356As we know,
Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in additional to preset levels of confidence when testing the claim.
Thus, the probability value indicates that there is statistical significance in 0.015 option (b) is correct.
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pls helpp with que 4a and 4b
Answer:
4a. [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]
4b. [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]
Step-by-step explanation:
The expression for problem (4a) is
[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]
Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.
LCM of [tex]4x-2,\:and\;3-6x[/tex]
But first, let's simplify the two expressions by factoring
[tex]4x-2 = 2(2x-1)[/tex] and
[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]
[tex]2(2x-1) -3(2x-1)[/tex]
Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.
This gives LCM as [tex]6(2x-1)[/tex]
[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]
For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]
[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]
[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since
[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]
We get
[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]
Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]
Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex] becomes
[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]
Therefore the expression result is
[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]
Part (b)
Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]
So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]
[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]
Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term
==> [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]
==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]
==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]
==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]
==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]
==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]
Solve the quadratic equation by completing the square.
x²+18x+79=0
[tex]x^2 + 18x=-79 \\ \\ x^2 + 18x+81=2 \\ \\ \boxed{(x+9)^2=2} \\ \\ x+9=\pm \sqrt 2 \\ \\ x=-9 \pm \sqrt{2} \\ \\ \boxed{x=-9+\sqrt{2}, -9-\sqrt{2}}[/tex]
What are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064 and a compressive strain of -0.0086 assuming a gage factor gf = 2.10?
ΔRc = - 1.806 are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.
What are examples of resistance?
Resistance is characterized as a resistance to yield to something that hinders or slows something down. A youngster battling her kidnapper is an illustration of resistance. Wind against a plane's wings is an illustration of resistance.GF = ΔR/R /E
a) Tensile strain E = 0.064
so ΔR = R . E . G.F
= 100 × 0.064 × 2.10
ΔRt = 13.44
b) Compressive strain E = - 0. 0086
ΔR = R . E . G.F.
= 100 × - 0.0086 × 2.10
ΔRc = - 1.806
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whats the set of all prime numbers
Answer:
Step-by-step explanation:
prime numbers are numbers that are divisible by 1 and itself such as 2,3,5,7,11
there are also types of prime numbers which i recommend reading: https://en.wikipedia.org/wiki/Category:Classes_of_prime_numbers
Please help I have no idea
Answer: a=5
Step-by-step explanation:
-4(7a+5)=-160
-28a-20=-160
-28a-20+20=-160+20
-28a=-140
a=5
For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence) 3,9,15
Can someone please help me? :(
What you have to do first is you have 5 owners correct? well you take anything they are sharing in the case it is delay/debt. so you divide $110 by 5 and you should get the amount $22. This means that each owner has to pay $22 to the delay.
Which graph represents 7x - 2y < 5?
y + 1 = y + 2 need help asap pls !!!
Answer:
Alright
Ignore the 20, We have 5(x-2)
Brackets mean Multiplication
So, Multiply 5 with x and multiply 5 with 2
=> 20 = 5x - 10
Transpose the 20 to the other side
the twenty being transposed to the other side becomes Minus because it is in plus
And bring 5x in front of the =
=> 5x = 20 - 10
=> 5x = 10
So now we have 5x but we need x so transpose the 5 to the other side
by transposing the five becomes division because its in positive so
=> x = 10 ÷ 5
=> x = 2
Kaboom, All done!
Which number contains digits where the hundreds digit is 1/10 the value of the thousands digit?
The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
What is number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.Firstly, refer to the image attached for the complete question.
Now,
Given: The value of the digit in the hundreds place in 653,841 is: 800
Now, the following cases arise for the given options:
748,917Value of digit in the thousands place = 8000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(8000) = 800[/tex]
749,817Value of digit in the thousands place = 9000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]
784,817Value of digit in the thousands place = 4000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]
797,481Value of digit in the thousands place = 7000
=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]
Out of all the options, as shown above, only Option A satisfies the given condition.
Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.
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