let's convert the mixed fractions to improper fractions and the subtract.
[tex]\stackrel{mixed}{5\frac{3}{8}}\implies \cfrac{5\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{43}{8}} ~\hfill \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{8}~~ - ~~\cfrac{15}{4}\implies \cfrac{(1)43~~ - ~~(2)15}{\underset{\textit{using this as the LCD}}{8}}\implies \cfrac{43-30}{8}\implies \cfrac{13}{8}\implies {\Large \begin{array}{llll} 1\frac{5}{8} \end{array}}[/tex]
I need help with this please help me
Answer: 18
Step-by-step explanation:
[tex]\triangle HJK \cong \triangle HLK[/tex] by HL. Therefore, [tex]JK=2[/tex] by CPCTC.
Using the segment addition postulate, [tex]GK=9[/tex].
Furthermore, [tex]\triangle HGK \cong \triangle HMK[/tex] by HL. This means that [tex]MK=9[/tex] by CPCTC.
Using the segment addition postulate again, [tex]GM=9+9=18[/tex].
How many ways can 5 couches snd 7 beds be chosen from a shipment off 11 couches shipme b ts and 10 bed shipments
The number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that, the total number of couches and beds will be 11 and 10.
We have to find a number of ways for the 5 couches and 7 beds are chosen from a shipment.
The different methods are there to select 5 couches and 7 beds from a shipment of 11 couches and 10 beds obtained as,
=11C₅× 10C₇
=462×120
=55440
Thus, the number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440
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Anthony (30) will use the single filing status for 2021. His only income for the year was from wages. In early 2022, he received the following Form W-2 from his employer. He comes to you to have his taxes prepared, and he tells you he would like to contribute to a traditional IRA for 2021, but only if he is eligible to deduct the amount. He has no other adjustments to income. What is the largest amount Anthony can contribute and deduct if he makes the IRA contribution before the filing deadline? (Answer choices are below the image.)
Since Anthony is 30, the largest amount he can contribute and deduct from his Form W-2 for the traditional IRA for 2021 is $6,000.
What is the traditional IRA?The traditional IRA or individual retirement account is a pre-tax contribution an employee saves towards retirement.
With a traditional IRA, Anthony can contribute pre- or after-tax dollars, allowing his savings to grow tax-deferred while withdrawals are taxed as current income unless after the age of 59½.
An additional tax of 10% may apply if Anthony withdraws from his traditional IRA before reaching 59½ years.
However, one advantage of the traditional IRA is that the employee invests more funds upfront since the deduction is mostly made before tax.
Thus, I will advise Anthony to deduct a maximum of $6,000 from Form W-2 towards his traditional IRA to save more money in advance.
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Write a linear function f with f(-3)=1 and f(13)=5.
Answer:
0.25x+1.75
Step-by-step explanation:
A linear equation is of the form ax+b. Set a up a system of equation with -3 and 13 substituted in to ax+b. We get -3a+b=1 and 13a+b=5. Solving tis gives us a,b=(0.25,1.75)
Answer:
f(x) = [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
a linear function has the form
f(x) = ax + b ( a and b have to be found )
given f(- 3) = 1 and f(13) = 5 , then by substitution
- 3a + b = 1 → (1)
13a + b = 5 → (2)
subtract (2) from (1) term by term to eliminate b
- 3a - 13a = 1 - 5
- 16a = - 4 ( divide both sides by - 16 )
a = [tex]\frac{-4}{-16}[/tex] = [tex]\frac{1}{4}[/tex]
substitute a = [tex]\frac{1}{4}[/tex] into (1) and solve for b
- 3( [tex]\frac{1}{4}[/tex] ) + b = 1
- [tex]\frac{3}{4}[/tex] + b = 1 ( add [tex]\frac{3}{4}[/tex] to both sides )
b = 1 [tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
f(x) = [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← is the linear function
or
f(x) = 0.25x + 1.75
The probability that Renee will win the race is 0.125.
What are the odds that he will win the race?
a. 1:7
b. 1:5
c. 1:8
d. 3:5
Answer:
c
Step-by-step explanation:
the answer is c.
.
.
.
.
.
.
Answer:
A. 1:7
Step-by-step explanation:
Just took the test
Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.
The total amount remaining after the deduction of $14.5 from $290.34 is $275.823.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.
As we know that there will be a 5% of deduction of tax,
Calculate the amount after the tax deduction,
Amount = 5 / 100 × $290.34
Amount = $14.5
The remaining amount after tax deduction = 290.34 - 14.5 = $275.823
Therefore, the total amount remaining after the deduction is $275.823.
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The complete question is:
Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances. Find the total amount after deduction.
Cheese Pizza Sales for January
Location: Number Sold
Downtown
1,356
998
1,824
Westland
Answer:
this is the answer hope it's right 1,356
Katherine is younger than Alexandra. Their ages are consecutive integers.
square of Katherine's age and 5 times
Find Katherine's age if the sum of the
if the sum of the
Alexandra's age is 109.
Using equations to solve the word problem, Katherine's age is 8 years
Word ProblemWord problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
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h(x)=x^2-1 what is the average rate of change of h over the interval -3 x -1
For the given function, h(x) = x² - 1, over the interval -3 ≤ x ≤ -1, the average rate of change is 4.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
h(x) = x² - 1, and the interval is -3 ≤ x ≤ -1.
To find average rate of change for the function,
Use formula,
Average rate of change = [tex]\frac{h(b)- h(a)}{b-a}[/tex]
h(b) = h(-1) = (-1)² - 1 = 0
h(a) = h(-3) = (-3)² - 1 = 8
Rate of change = [tex]\frac{8 - 0 }{-1 - (-3)}[/tex]
= 8 / 2
= 4
The average rate of change is 4.
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in a rectangle, if an area
[tex]\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=12\sqrt{30}\\ w=3\sqrt{5} \end{cases}\implies 12\sqrt{30}=L3\sqrt{5}\implies \cfrac{12\sqrt{30}}{3\sqrt{5}}=L \\\\\\ 4\cdot \cfrac{\sqrt{30}}{\sqrt{5}}=L\implies 4\cdot \sqrt{\cfrac{30}{5}}=L\implies 4\sqrt{6}=L[/tex]
find the exact value of n in 9⅓ ×27^n = 27⅘ and express it in fraction . Its urgent
Answer:
n = 26/45
Step-by-step explanation:
If the 9⅓ and 27⅘ are supposed to be [tex]9^{1/3}[/tex] and [tex]27^{4/5}[/tex], then
[tex]9^{1/3}[/tex] × [tex]27^{n}[/tex] = [tex]27^{4/5}[/tex]
=> [tex](3^{2})^{1/3}[/tex] × [tex](3^3)^{n}[/tex] = [tex](3^3)^{4/5}[/tex]
=> [tex]3^{2/3}[/tex] × [tex]3^{3n}[/tex] = [tex]3^{12/5}[/tex]
=> [tex]3^{3n+\frac{2}{3}}[/tex] = [tex]3^{12/5}[/tex]
=> 3n+2/3 = 12/5
=> 45n + 10 = 36
=> 45n = 26
=> n = 26/45
OB. 7,418÷33=R
What is the answer
please help me with this
For the given quadratic equation we have:
a) F(-2) = 5
b) F(3) = 40
c) the solutions are:
t = -1
t = -1/3
How to evaluate the quadratic function?Here we have the following quadratic function:
F(t) = 3t^2 + 4t + 1
a) First, we want to determine the value of F(-2), to do so, we just need to replace the values of the variable, t, by the number -2, we will get:
F(-2) =3*(-2)^2 + 4*(-2) + 1
F(-2) = 3*4 - 8 + 1 = 5
F(-2) = 5
b) Now we want to find the value of the F(3), so this time we evaluate in x = 3.
F(3) =3*3^2 + 4*3 + 1
F(3) = 27 + 12 + 1 = 40
F(3) = 40
c) Last, we want to solve:
F(t) = 0
So we need to solve the quadratic equation:
3t^2 + 4t + 1 = 0
Using the quadratic formula we will get the two solutions:
[tex]t = \frac{-4 \pm \sqrt{4^2 - 4*3*1} }{2*3} \\\\t = \frac{-4 \pm 2}{6}[/tex]
Then the two solutions are:
t = (-4 + 2)/6 = -2/6 = -1/3
t = (-4 - 2)/6 = -1
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10. The function y = -3 x+44 represents the amount of money left in your school lunch account y (in dollars) after x days.
a. Identity the independent and dependent variable.
b. After 10 days, how much money is left in your account.
The domain of the equation is 10 days and the range is the $14 left in the account.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
a) The independent variable in this problem is the number of days, represented as x. The amount of money left, the y variable is the dependent variable since it depends on the number of days left (x).
b) If there are 10 days left, we can plug it into the given equation to find the balance in the account.
y = -3x + 44
y = -3(10) + 44
y = -30 + 44
y = 14
Hence, the domain of the equation is 10 days and the range is the $14 left in the account.
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(9x)^2/3+(2y)^2/3+z^2/3 using x=3, y=4, z= -1
Answer:
14 ;)
Step-by-step explanation:
(9(3))^(2/3) + (2(4))^(2/3) + (-1)^(2/3)
8 + 4 + 1 = 14
The answer to this math problem is 14.
Pls vote brainliest
please find the ordered pair MY HOMEWORK IS DUE IN 10 MIN AD I WILL GIVE U BRAINLIST
y= (x/3) +2
y=x-(-1)
y=-x
y=x+4
y=3x+1
y=(1/2)x
Answer:
x = 3y-6
x = -y
x = -y
x=y-4
x = y/3 - 1/3
x = 2y
Step-by-step explanation:
Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr to mow lawns and $10/hr to walk dogs. This situation is modeled by: 15x + 10y ≥ 1100.
Suppose Ezra decides to also spend more than $80 on a printer. The inequality becomes
15x + 10y
.
The new inequality which represent Ezra's situation is 15x + 10y > 1180
How to write inequality?Cost of the laptop = at least $1100Amount Ezra charge to mow lawns per hour = $15Amount Ezra charge to walk dogs per hour = $10If
Hours spent to mow lawns = xHours spent to walk dogs = yThe inequality:
15x + 10y ≥ 1100
If Ezra decides to also spend more than $80 on a printer, that is, the amount spent on a printer is greater than $80
Adding an amount greater than $80 to the inequality,
It becomes 15x + 10y > 1180
Note the change in sign from greater than or equal to (≥) to greater than (>)
Therefore, the new inequality is given by 15x + 10y > 1180
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Your parents debt ratio increased, causing their credit score to drop from excellent rate of 5.75% to good rating of 6.20%. How much interest are they being charged during the first month on their mobile home loan of $74,860.00 Group of answer choices $358.70 $346.77 $374.30 $386.78
$336.87 is the interest they being charged during the first month on their mobile home loan of $74,860.00
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Debt ratio increased, causing their credit score to drop from excellent rate of 5.75% to good rating of 6.20%.
We need to find interest they being charged during the first month on their mobile home loan of $74,860.00.
The difference is percentage is 6.0-5.75
0.45%
0.45% of $74,860.00
0.45/100×74,860.00
336.87
Hence, $336.87 is the interest they being charged during the first month on their mobile home loan of $74,860.00
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"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"
Answer:
2.25 seconds ; 88 feet
Step-by-step explanation:
the maximum height of the rocket is the vertex of the parabola
x coordinate = -72/2(-16)
-72/-32 = 2.25 seconds
y coordinate = -16(2.25)^2 + 72(2.25) + 7
-81 + 162 + 7
-81 + 169
88 feet
Joey walks 4 kilometers to soccer practice. How many meters does he walk?
Answer:
ANSWER
Step-by-step explanation:
1 kilometer = 1000 meters.
4 kilometer times 1000 meters = 4000 meters
Answer: 4000 meters
Step-by-step explanation:
4 x 1000 = 4000
help here's a pic on the problem
The linear function that shows the proportional relationship between the distance and time is d = 100t
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line'b' is the y-intercept of the line'x' is the independent variable'y' (or f(x)) is the dependent variableFrom the table given, we can find the slope of the function by using the formula
m = y₂ - y₁ / x₂ - x₁
m = 300 - 200 / 3 - 2
m = 100
To find the y - intercept,
y = mx + c
300 = 100(3) + c
300 = 300 + c
c = 300 - 300
c = 0
The equation that shows the relationship is
d = 100t
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I have four number cards. The median is 8.
If the range is 10, what are the missing numbers?
Answer:
Below
Step-by-step explanation:
I think you will need to be more specific, but it could be
3 8 8 12 or something like 2 8 8 11 or 1 8 8 10 etc
-7+4/(-2)
follow the order of operations to simplify the following expression
Answer: The answer is -9
Order of operations/PEMDAS:
Parenthesis, Exponents, Multiplication,
Division, Addition, Subtraction
Here is why:
using the order of operations,
do 4/-2 First
4/-2 = -2
Then do -7 + (-2)
-7 + (-2) = -2
When adding a negative plus a negative, it stays negative,
so the expression -7 +(-2) is like 7+2, it will equal 9, but because it is a negative plus a negative, the answer is negative.
PYTHAGORAS THEOREM
How do i find the n
Answer:
and data pro is the best solution assumption that you are a very important thing to me and I am not sure what to do with my
Answer:
this is the answer
Step-by-step explanation:
c² = a² + b²
c = √a²+b²
Approximately 71% of the Earth’s surface is water. The total surface area of the Earth is approximately 5.1 x 1014 m2. How many square meters of the Earth’s surface is not water?
Answer:
1.5 × 10^14 m²
Step-by-step explanation:
71% of the surface is covered with water.
The total surface of the Earth is 100% of the surface.
100% - 71% = 29%
29% of the surface is not covered with water.
29% of 5.1 × 10^14 m² =
= 0.29 × 5.1 × 10^14 m²
= 1.479 × 10^14 m²
= 1.5 × 10^14 m²
If a=3 and b=-2i, then find the value of the ab^{2} in fully simplified form.
[tex]i = \sqrt{-1}[/tex]
Solving the QuestionWe're given:
a = 3b = -2i[tex]ab^2[/tex] = ?[tex]ab^2[/tex]
⇒ Plug in the values for a and b:
[tex]=(3)(-2i)^2[/tex]
⇒ Rewrite i as [tex]\sqrt{-1}[/tex]:
[tex]=(3)(-2\sqrt{-1})^2[/tex]
⇒ Simplify:
[tex]=(3)(-2)^2(\sqrt{-1})^2\\=(3)(4)(-1)\\=-12[/tex]
Answer-12
On the coordinate plane, point F is located at (x, 8) and point G is located at (1, 4). The
distance between points F and G is √ √52 units.
What are the two possible locations of point F?
Answer:
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2} \\4^{2} +b^{2} = (\sqrt{52} )^{2} \\16 + b^{2} = 52\\b^{2} =36\\\sqrt{b^2} =\sqrt{36} \\b=6\\[/tex]
One of the possible x-values of point F will be 6 units to the right of point G. So, the x-value of point F could be 7, since 1+6=7. That means one possible location of point F is (7,8).
The other possible x-value of point F will be 6 units to the left of point G. So, the x-value of point F could be -5, since 1–6=–5. That means the other possible location of point F is (–5,8).
So the answer is:
(7,8) and (-5,8)
One year, the population of a city was 209,000. Several years later it was 217,360. Find the percent increase.
The percentage of the increase in population is 4%
How to determine the percentage of the increase?From the question, we have the following parameters that can be used in our computation:
Initial population = 209000
New population = 2017360
The percentage of the increase is then calculated using the following percentage equation
Percentage increase = (New population - Initial population )/Initial population * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage increase = (217360 - 209000)/209000 * 100%
Evaluate
Percentage increase = 4%
Hence, the increase percentage is 4%
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<1 and <2 form a linear pair. If m<1 = (4x + 12)°
and m<2 = (6x - 2), find the measure of each
angle.
Answer: x = 17
Step-by-step explanation:
Please help, quick!!
Answer:
Step-by-step explanation:
First one is C
Second is B
third i cant see all of the answers