Answer:
Step-by-step explanation:
Solve for the equation equal to y
[tex]3x+4y=12\\4y=-3x+12\\y=\frac{-3}{4}+\frac{12}{4}[/tex]
The slope here is -3/4. The slope of a line perpendicular to the original has a negated and inverted slope. Therefore the slope is 4/3
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
and solve it
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
HELP!!!
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=64t-16t^2. What is the maximum height that the ball will reach? Do not round your answer.
Check the picture below, so it reaches the maximum height at the vertex, let's check where that is
[tex]h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}[/tex]
A line passes through (-4, 7) and has a slope of 3/2
Write an equation in slope intercept form for this line
Answer:
please see the photo above
Kevin uses 36 ounces of dried apples and 18 ounces of
dried cranberries to make a fruit snack. He plans to sell the snack in 1\2
containers. How may containers will he fill? Will any fruit snack be left over?
Answer:
6 containers
6 ounces of fruit snack will be left over
Step-by-step explanation:
1 pound = 16 ounces
⇒ ¹/₂ pound = 8 ounces
Total weight = weight of dried apples + weight of dried cranberries
= 36 + 18
= 54 ounces
Containers needed = total weight ÷ weight of snacks in one container
= 54 ÷ 8
= 6.75
Therefore, he will fill 6 containers
Snack left over = total weight - (number of containers × weight of snacks one container will hold)
= 54 - (6 × 8)
= 54 - 48
= 6 ounces
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?
111 hours
98 hours
87 hours
Total deduction
7.65+12+819.65+827.65%Now
Earnings after deduction
10-10(0.2765)10-2.7657.335$Total hours:-
640/7.33587.2587hoursYou will have to work 110.5 hours to buy the new computer.
What is tax?A tax is some specific financial amount or some other charged taxpayer by the government in order to fund government spending.
Given is that you have to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are -
FICA (7.65%),
Federal tax withholding (12%)
State tax withholding (8%).
Total money earned after all the deductions -
A{n} = 10 - {7.65% of 10 + 12% of 10 + 8% of 10}
A{n} = 10 - {7.65/100 x 10 + 12/100 x 10 + 8/100 x 10}
A{n} = 10 - {7.65/10 + 12/10 + 8/10}
A{n} = 10 - 2.765
An = 7.235
Cost of new computer = $800.
For 1 hour. you earned $7.235.
Then, you will earn $1 in (1/7.235) hours
So, you will earn $800 in (1/7.235 x 800) = 110.5
Therefore, you will have to work 110.5 hours to buy the new computer.
To solve more questions on tax cuts , visit the link
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I need help solving this pls
Answer:
x = 44.5 due to the Triangle Angle Sum Theorem
Step-by-step explanation:
This is the Triangular Angle Sum Theorem.
This rule states that every angle inside the triangle has to equal 180.
This is a solve for x situation
2x + x + x + 2 = 180
Add all the x's first
3x + x + 2 = 180
4x + 2 = 180
Now subtract 2 both sides
4x = 180 -2
4x = 178
Divide 178 by 4
x = 44.5
You could verify by plugging 44.5 into the x's
2(44.5) + 44.5 + 44.5 + 2 = 180
89 + 44.5 + 46.5 = 180
Answer:
x = 44.5
Step-by-step explanation:
2x + x + (x+2) = 180
4x + 2 = 180
4x = 178
x = 44.5
Just saw your last comment :)
Let me know if you have any questions!
Applying probability concepts
Answer:
See below ↓
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is trueProbability can range in from 0 to 1The probability Choosing a card from the deck of cardApplications
Flipping a coinThrowing a dice in the airPulling a red ball out of a bucket of red and white ballsWinning a lucky drawOf all the events in a sample space adds up to 1Answer choices:
y = x
y = 1/4x - 2
y = -x + 7/4
y = 7/4x - 2
Answer:
all in all it's y=x
Step-by-step explanation:
A (4,1); B (0,-2)
G=delta y
--------
delta x
1-(-2)
-------
4-0
3/4=G
3/4=y-1/x-4
4 (y-1)=3 (x-4)
4y-4=3x-12
4y=3x+4-12
y=3/4x-3
An American roulette wheel has 38 spaces, labeled using the numerals 1 through 36, 0, and 00. In a random spin of the wheel, what is the probability that the ball will land on 2?
This is because there's one space labeled "2" out of 38 spaces total.
This fraction is approximately equal to 1/38 = 0.0263 meaning there's roughly a 2.63% chance of landing on this space.
The probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.
Assuming an unbiased wheel.
The probability of an event = number of favourable outcomes/ number of total outcomes.
The total number of outcomes is 38
The number of favourable outcomes is one because there's one space labeled "2" out of 38 spaces total.
The probability of an event = 1/38 = 0.0263
Hence, the probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.
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The product of two positive rational numbers is greater than either factor.
Provide at least two examples to show that this statement is only sometimes true
Answer: 1/2 x 1 = 1/2
1/3 x 3 = 1
Step-by-step explanation: 100% Sure! :D
Hey ! Can anyone help me solve these problems please. Thank you !
design an instructional activity that could help learner's recognise the decimal fractions can be applied across environmental situation relating to activities in real-life
An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.
What is an instructional activity?Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.
An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.
Learn more about fractions on;
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Please help me ASAP
I will mark brainliest!
Answer:
please report my answer
Step-by-step explanation:
I want my account deleted
Answer:
17
Step-by-step explanation:
16+17+18=51
I knew the highest number had to be lower than 20. So I did 17+18+19. That didn't work but noticed it was close to 51. Tried 16+17+18 and it equals 51 :)
Find the coordinates that partitions (-8,-2) and (6, 19) with the ration 5:2
Step-by-step explanation:
Using the section formula , if a point ( x , y ) divides the line joining the points ( x1 , y1 ) and ( x2 , y2 ) into the ratio m : n , then
( x , y ) = ( mx2 + nx1 / m + n , my2 + ny1 / m + n)
Let the points be A(-8,−2) and B(6,19). Let a point P(x,y) divides AB in the ratio 5:2
Therefore, we have
[tex]P(x,y) =( \frac{5 \times 6 + 2 \times - 8}{5 + 2} , \: \frac{5 \times 19 + 2 \times - 2}{5 + 2}) [/tex]
[tex]P(x,y) = ( \frac{30 + ( - 16)}{7} , \: \frac{95 + ( - 4)}{7} )[/tex]
[tex] P(x,y) = (2, 13)[/tex]
Answer:
(2, 13)
Step-by-step explanation:
Let P be the point that partitions the segment.
Let M = (-8, -2)
Let N = (6, 19)
If point P partitions the segment MN in a 5 : 2 ratio, then to calculate the x and y values of point P:
divide the difference of the x (or y) values of the two endpoints by the sum of the ratiosmultiply this by 5, since P partitions the segment at 5 : 2add this to the x (or y) value of point Mx-value of P:
[tex]\sf \implies \left(\dfrac{x_N-x_M}{5+2}\right)\cdot5+x_N[/tex]
[tex]\sf \implies \left(\dfrac{6-(-8)}{5+2}\right)\cdot5+(-8)=2[/tex]
y-value of P:
[tex]\sf \implies \left(\dfrac{y_N-y_M}{5+2}\right)\cdot5+y_N[/tex]
[tex]\sf \implies \left(\dfrac{19-(-2)}{5+2}\right)\cdot5+(-2)=13[/tex]
[tex]\sf P=(2,13)[/tex]
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never
withdraw money from the account. How much money will be in the account after 4 years?
Answer:
$2,400
Step-by-step explanation:
First we need to find whatever that 5% is.
[tex]\frac{5}{100} \times \frac{2000}{1}[/tex]
Which gives us $100.
Now, we multiply the $100 by 4.
Which is $400.
Now, we add that to the $2,000.
Which gives us $2,400.
Sorry for the late reply but hope this helps
help me please, need answer quick
Answer:
Option D is correct
The answer is 42 square unit.
Step-by-step explanation:
Given;a = 9 unitsb = 12 unitsh = 4 unitsTo Find;Area of TrapezoidFormula;Area = ½ (a + b) × hNow,
A = ½ (a + b) × h
A = ½ (9 + 12) × 4
A = (21) × 2
A = 42 square unit
Thus, The estimated area of the Trapezoid is 42 square unit.
-TheUnknownScientist 72
A coin is flipped 8 times. Find the probability of the event: Exactly 5 heads
a.0.625
b.0.03125
c.0.219
d.0.0039
Answer:
c. 0.219
Step-by-step explanation:
If the coin is fair, then the probability of flipping a head is 1/2 = 0.5
Therefore, we can model this as a binomial distribution:
X ~ B(n, p) where n is the number of events and p is the probability of success
Given:
n = 8p = 0.5X ~ B(8, 0.5)
Using a calculator:
P(X = 5) = 0.21875 = 0.219 (3 dp)
Using the formula:
[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]
(where n is the number of events, x is the number of desired successes and p is the probability of success)
[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]
[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]
[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]
[tex]\sf \implies P(X=5)=0.21875[/tex]
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 6600 no votes, what was the total number of votes?
Answer:
The total number of voters = 10725
Step-by-step explanation:
The total number of votes cast was 5 + 8
The no votes ratio is 8/ 13
This question is a a proportion question.
A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.
The total no votes = 6600. So the three parts are known are
no vote ratio = 8No vote number =6600total vote ratio part = 13You are asked to find the total number of voters.8/13 = 6600/x Cross multiply
8x = 13*6600 Combine the right.
8x = 85800 Divide by 8
8x/8 = 85800/8
x = 10725
The total number of voters = 10725
Ryan's annual salary is $54,000. A total of $15,340.80 will be deducted for taxes and health insurance. He will receive his paycheck monthly in 12 equal
installments. How much will he get paid with each paycheck?
Answer:3,221.6
Step-by-step explanation: if you divide 54,000 by 12, you get 4,500 which is the untaxted payment per month, then you must divide 15,340.80 by 12, which is 1,278.4, then you subtract that from 4,500 which ends up being 3,221.6
something times 5 = 1?
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
You can think of this "something" as a variable, which is x
So:
5x = 1
Divide both side by 5:
x = 1/5
HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?
Answer:
1.7
Step-by-step explanation:
25.5 divided by 15
In the picture below, how many unit
cubes does it take to make the rectangular prism below without
gaps or overlaps? How many 2-cube towers does it take to make the
rectangular prism?
Answer:
Your answer is 8
Step-by-step explanation:
You can just count the cubes or multiply 2 by 4
which of the following is an equivalent expression to the expression a 1/3/ a /14
A. a^1/12
When dividing two exponents with the same base, subtract the denominator exponent from the numerator's exponent.
the difference is the value of the new exponent with the same base.
There are 10 pieces of chalk. Two tenths of the chalk is pink One piece is blue. The rest are whit How many pieces of chalk are white?
Answer: 7
Step-by-step explanation:
10/10 pieces of chalk
2/10 are pink
1/10 is blue
——————
So in total
3/10 are not white
The remaining 7 are white
Answer:
7
Step-by-step explanation:
10-1(blue)=9
2/10*10=2
9-2=7
For each babysitting job she does, Emily charges $7 for each hour, x, she works, plus $2 for bus fare. Emily wants to earn at least $23 for her next babysitting job. Which inequality shows all the possible numbers of hours he could work and earn that amount?
Answer:
37 hope this helps sorry if wrong
A circular "No Parking" road sign has a diameter of 26 inches. Which measurement is closest to the area of the sign in square inches? 81.64 in.² 163.28 in.² 530.66 in.² 2,122.64 in.²
Answer:
530.66 in²
area of circle: πr²
diameter: 26 inradius : diameter/2 = 26/2 = 13 inarea: πr² ⇒ π(13)² ⇒ 530.66 in²
Answer:
pretty sure its 530.66 in.²
Step-by-step explanation:
Brainliest if correct
Answer:
6.1291 < 8.3 < 8.308 < 8.38
Step-by-step explanation:
Start by looking at the whole numbers.
6 < 8
Since the only whole numbers are 6 and 8, we can rule out that the smallest number, or with the least value, is 6.
Next, look at the tens place.
Since they are all 8.3--, we cannot find the next one until we look at the hundredths place.
Next, look at the hundredths place.
Keep in mind that 8.3 is the same as 8.300
There is 8.30 < 8.38 and 8.308 <8.380
Now we know the lowest value and the highest value! (6.1291 and 8.38)
Between the last two, let's figure out where they place
Look at the thousandths place.
8.300 < 8.308
Hence, the answer provided above!
6.1291 < 8.3 < 8.308 < 8.38
Hope this helps! :)
Please help and I'll mark brainliest
Answer:
the answer is 60
Step-by-step explanation:
brainliest please
Answer:
B.) I'm not 100% sure
Step-by-step explanation:
Hope this helped
What is the median of this data set?
{23, 16, 19, 17, 15, 19, 17, 24}
Enter your answer in the box.
()
Answer:
16,
Step-by-step explanation:
1) Put numbers in ascending order
15, 16, 17, 17, 19, 19, 23, 24
2) Find the middle numbers use n+1/2
n = the amount of numbers in the sequence
8+1/2 = 4.5
3) The answer is 18 because that's the number between 17 and 19
Answer:
Me thinks its 18