Answer:
30, 80
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Then, the other number is [tex]2x+20[/tex]. The sum is 110, so
[tex]x+(2x+20)=110.[/tex]
Simplifying gives
[tex]3x+20=110[/tex].
Subtracting 20 from both sides gives
[tex]3x=90[/tex].
Dividing by 3 gives
[tex]x=30[/tex].
The smaller number is 30 and the larger number is 2(30)+20=80.
Two cars leave a city and head in the same direction. After 6 hours, the faster car is 30 miles ahead of the slower car. The slower car has traveled 276
speeds of the two cars
miles. Find the speed of the two cars
Answer:
6x = 360
rate = x = 60 mph (Faster car rate)
Slower car rate = distance/time = 294/6 = 46 mph
Step-by-step explanation
brainly pls
Maya’s credit card has an APR of 11. 84% and a billing cycle of 30 days. The table below shows her transactions with that credit card in the month of September. Date Amount ($) Transaction 9/1 395. 61 Beginning balance 9/8 24. 13 Purchase 9/13 68. 57 Payment 9/26 31. 77 Purchase Find Maya’s finance charge for September using the previous balance method, the adjusted balance method, and the daily balance method. Among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $3. 79 b. $3. 90 c. $3. 68 d. $4. 45.
Answer:
✅C. $3.68i got it correct⬇️
The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at solving systems of linear equations she zealously offers to give all candidates a quick demonstration. She finds the LU factorization of a 2000 x 2000 matrix in 78125 seconds. She then takes another 25 seconds to apply both triangular substitutions (backward and forward) to solve the system of equations Mx = y for a given vector Y.
The candidates are supposed to estimate (without actually running any code) the time it takes to factorize and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with dimension 500, given 30 different right-hand side b vectors.
Matrix are used to show data in rows and columns
The estimated time to efficiently solve the square matrix A is 4907.8125 seconds
How to estimate the time to solve matrix AThe given parameters are:
Matrix size = 2000 by 2000
Time = 78125 seconds
Substitution time = 25 seconds
The time to solve the matrix is dependent on the size of the matrix, while the substitution time is fixed
The size of the similar matrix is 500 by 500
The similar matrix is 1/16 smaller than the original matrix of 2000 by 2000.
So, the time to factorize the matrix is:
[tex]Time = \frac{1}{16} * 78125\ seconds[/tex]
[tex]Time = 4882.8125\ seconds[/tex]
The estimate of the time to solve the new matrix is the sum of the time to factorize it and the substitution time.
So, we have:
[tex]Total = 4882.8125\ seconds + 25\ seconds[/tex]
This gives
[tex]Total = 4907.8125\ seconds[/tex]
Hence, the estimated time to efficiently solve the square matrix A is 4907.8125 seconds
Read more about matrix at:
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Help please 10 points plllasee
Answer: >
Step-by-step explanation: 3/5 is equal to .6 and .5 is smaller than .6
Write a system of two quadratic equations that has solutions of (-3, -3) and (3, -3)
Answer:
Answer:
[tex]{ \rm{ \hookrightarrow{ \blue{ {x}^{2} + 6x + 9 }}}} \\ { \rm{ \hookrightarrow{ \red{ {x}^{2} - 9 }}}}[/tex]
Step-by-step explanation:
» General Quadratic expression:
[tex] { \rm{y = {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots)}}[/tex]
» For (-3, -3), roots are -3 and -3
• Sum of roots:
[tex]{ \tt{sum = - 3 + - 3}} \\ { \tt{sum = - 6}}[/tex]
• Product of roots:
[tex]{ \tt{product = - 3 \times - 3}} \\ { \tt{product = 9}}[/tex]
• Equation:
[tex]{ \underline{ \underline{ \tt{ \: y = {x}^{2} + 6x + 9 \: }}}}[/tex]
» For (3, -3), roots are 3 and -3
• Sum of roots:
[tex]{ \tt{sum = - 3 + 3}} \\ { \tt{sum = 0}}[/tex]
• Product of roots:
[tex]{ \tt{product = - 3 \times 3}} \\ { \tt{product = - 9}}[/tex]
• Equation:
[tex]{ \underline{ \underline{ \tt{ \: y = {x}^{2} - 9 \: }}}}[/tex]
The system of two quadratic equation is
x² + 6x + 9 = 0
x² - 9 = 0
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a'(a ≠ 0) and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."
The solution of the first equation in the system is (- 3, - 3).
Therefore, the equation will be
[x - (- 3)] [x - (- 3)] = 0
⇒ (x + 3)(x + 3) = 0
⇒ (x + 3)² = 0
⇒ x² + 6x + 9 = 0
The solution of the second equation in the system is (3, - 3).
Therefore, the equation will be
[x - 3] [x - (- 3)] = 0
⇒ (x - 3)(x + 3) = 0
⇒ (x)² - (3)² = 0
⇒ x² - 9 = 0
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#SPJ3
What is the length of minor arc SV? 20π in. 28π in. 40π in. 63π in.
Angles and arcs' lengths are related to each other. The length of the minor arc SV is given by: Option A: [tex]20\pi \: \rm inches[/tex]
How can we use a full rotation?Whole circumference is covered by 360 degrees rotation.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
The complete problem specifies radius of the circle as 24 in. and
θ = 5pi/6
Thus, we get the measurement of the arc length that angle covers as:
[tex]r \times \theta \: \rm inches = 24 \times \dfrac{5\pi}{6} = 20\pi \: \rm inches[/tex]
Thus, the length of the minor arc SV is given by: Option A: [tex]20\pi \: \rm inches[/tex]
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Answer:
option A
Step-by-step explanation:
rearrange the equation 3c=d
Answer:
3 = d/c
I'm not sure if this is what you're asking for but it should be correct
three equals d over c/ three equals d divided by c
4. Create a story problem that you can create an equation to solve.
A group of friends goes out to lunch and decides to split the bill. Their bill is $32. 50, plus they want to leave a 20% tip. The final amount will be split 4 ways. What is the amount each person will pay? $7. 50 $8. 15 $9. 20 $9. 75.
Percent counts the number of a quantity compared to another quantity's 100 amount. The amount each person would pay is given by: Option D: $9. 75
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the given case,
Bill for lunch = $32.50
Tip = 20% of bill = [tex]\dfrac{32.50}{100} \times 20 = \dfrac{32.50}{5} = 6.50[/tex] (in dollars)
Total amount = Bill + Tip = $39
This amount has to be divided in 4 equal part.
Thus, each part of those 4 parts would be [tex]\dfrac{39}{4} = 9.75[/tex] (in dollars).
Thus, the amount each person would pay is given by: Option D: $9. 75
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F represents the fee (in dollars) for climbing d meters.
F = 110 +0.12d
What is the increase in price for every 100 meters climbed?
Answer:
$12
Step-by-step explanation:
when d = 0, F = 110
when d = 100, F = 110 + (0.12 x 100) = 122
when d = 200, F = 110 + (0.12 x 200) = 134
etc.
Therefore, increase in price for every 100 meters climbed = 134 - 122 = 122 - 110 = 12
(n+8)+(n−12)
Please help
Answer:
=n+8+n+−12
=(n+n)+(8+−12)
=2n+−4
Answer:
=2n−4
= 2(n-2)
Lester listens to 8 songs every time he does his exercise routine he did his exercise routine 3 time this week how many songs did lester listen to while exercise this week.
Answer:
24
Step-by-step explanation:
multiply 8 by 3
How woils I solve number 14 I’m puzzled
Answer:
[tex]x^4+2x^3-4x-8[/tex]
Step-by-step explanation:
[tex](x^3-4)(x+2)\\\\(x^3)(x)+(x^3)(2)+(-4)(x)+(-4)(2)\\\\x^4+2x^3-4x-8[/tex]
solve:
5x + 3y = -1
6x - 5y = 16
Answer:
5x+3y=-1. A
6x-5y=16. B
3y=-5x-1
y=-5x/3 -1/3. C
sub C in B
6x-5(-5x/3 -1/3)=16
simplify:
6x+25x/3+5/3=16
Like terms
43x/3=43/3
cross multiply
129=129x
divide both sides by 129
X=1
sub X value in C
y=-5(1)/3 -1/3
y=-2.
Which number is closest to - 102 (square root)?
A. -11.5
B. -10.0
C. -9.7
D. -11.1
Answer:
B. -10.0
Step-by-step explanation:
-10.0² = -100
thus= -10.0 is the closest to -102 (square root)
when you say b what fraction do you mean?
Answer:
Definition of a fractionThe number a is numerator, and b is the denominator.
[tex]#SolutionGiven[/tex]
please help me with this
Explanation:
Steve correctly computed the change in x to be 2, and the change in y to be 6. However he put 2 in the slope formula for Δy (the change in y), and 6 for Δx. That is, Steve reversed the values of Δx and Δy.
The actual slope is ...
slope = Δy/Δx = 6/2 = 3
help me please!!! will mark brainliest if right!!
Can we get a better picture of the graph? Can you take a better picture up close?
Thanks!
~Natalia~
what are some equivalent ratios to 3:4.5
Answer:
Step-by-step explanation:
First, find the unit rate. Divide 4.5 by 3 to get 1.5. 3:4.5 = 1:1.5. Then, multiply 1.5 by any number to get an equivalent ratio. For example, 1.5 times 6 = 9, so an equivalent ratio is 6:9. Or, 1.5 times 10 = 15, so another equivalent ratio is 10:15.
Use a regra e escreva os termos de cada sequência.
Com contas se puder
Resposta:
parece que há alguns neurônios faltando na sua cabeça pra n saber responder isso
Explicação:
você n tem neurônios
Please help me with this question look at the image. I will mark the brainiest.
Answer:
5 ft
Step-by-step explanation:
trapezoid area = ((base + base) / 2) height
25.5 = ((3.2+7)/2) height
25.5= 10.2/2height
25.5/5.1
height = 5
Which expresses 9x^2y^2 as a perfect square?
Answer: Choice B
(3xy)^2 = (3xy)*(3xy) = (3*3)*(x*x)*(y*y) = 9x^2y^2
Which set of orders pair does not represent a function
Answer:
The third answer is correct.
Step-by-step explanation:
A function must have an output for every input and answer number 3 is the only one that has a unique output for every input.
Can anyone please please help me out with this ):
What is the value of 2|6+p|-3p3 when p=-2?
-32
-16
32
56
Answer:
26
Step-by-step explanation:
2(6+p)-3p3
Fix in known values
2[6+(-2)]-3(-2)×3
12-4+18
8+18
26
(1) D. Generalize Explain your procedure for calculating the profit
for Grooming USA. Suppose you wanted to calculate the profit
for several different scenarios. How could you simplify your
process?
Answer:
$1,650 profit
Step-by-step explanation:
It cost $15 to groom one animal, if you groom 95 animals you would do 95 animals x $15 = $1,425 profit. If you groom 110 animals and charge $15 per animal you would do the same equation. 110 animals x $15 = $1,650. The equation for this problem is the number of animals groomed X the cost to groom one animal.
Hope this helps!
please help me with this problem
Answer and Step-by-step explanation:
I will try the best I can :3
if she started with 6, the first point you would put is (0,6)
this is how the equation would look:
y=___+6
(Tip: the number on the right is the y-intercept and the one on the left is the slope)
Now to find the slope: m=
y-y / x-x
Let’s use points (0,6) and points (2,8)
Rewrite to find slope: 8-6 / 2-0 = 2/2 or 1
Now the equation should be:
y=1x+6
(pssssstttt: you can also use Desmond graphing calculator ^^)
Help please, show work!!:)
Answer:
JL ≈ 3.1
Step-by-step explanation:
Using the cosine rule
with JL = k , JK = l , KL = j , then
k² = j² + l² - (2jlcosK )
= 6² + 8² - ( 2 × 6 × 8 × cos20° )
= 36 + 64 - (96cos20°)
= 100 - 96cos20° ( take square root of both sides )
k = [tex]\sqrt{100-(96cos20)}[/tex] ≈ 3.1 ( to the nearest tenth )
that is JL ≈ 3.1
What is the 12th digit of 23/9?
Answer:
5
Step-by-step explanation:
[tex]\dfrac{23}{9} =2 \ \dfrac59= 2. \overline{5}=2.555555555...[/tex]
Therefore, as 23/9 has a recurring decimal, the 12th digit is 5.
1 liter is equal to 1,000 milliliters. How many milliliters are in 4 liters, 356 milliliters?
Answer:
4,356 milliliter
Step-by-step explanation:
If 1 liter = 1,000 milliliter
Formula: Multiply the volume value by 1000
Then, 4 liter = 4,000 milliliter
4,000 + 356=4,356
Hence, there are 4,356 milliliter in 4 liters, 356 milliliter.
[RevyBreeze]