Step-by-step explanation:
y = mx + c
m = 4
c = 11
.: y = 4x + 11
y - 4x = 11
divide both sides by 11
[tex] \frac{y}{11} - \frac{4x}{11} = 1[/tex]
[tex] \frac{y}{11} - \frac{x}{11/4} = 1[/tex]
is the slope intercept equation (perpendicular equation)
You are planning a trip to Disney World in Florida. You estimate for week at Disney World, you will need $1,600.00 (This includes Airfare, room and board, daily expenses, and travel). You save for 5 months and your monthly gross salary is $1,675.00. Given that Social Security is 6.2% of your biweekly income, Medicare is 1.45% of your biweekly income, your monthly expenses are $975.23, and you pay State and Federal taxes in the amount of $35.00 and $75.51 respectively biweekly, how much will you have saved up and will you have saved enough to visit Disney World in December? Round all your answers to the nearest cent. a. $1,508.25; no c. $1,753.05; yes b. $1,523.43; no d. $1,788.06; yes
Answer:
c. $1,753.05; yes
Step-by-step explanation:
All calculations below are done on a monthly basis.
Gross salary in 1 month: $1675
Deduct 6.2% from gross salary:
0.062 * $1675 = $103.85
$1675 - $103.85 = $1571.15
Deduct 1.45% from gross salary:
0.0145 * 1675 = $24.29
$1571.15 - $24.29 = $1546.86
Deduct $975.23:
$1546.86 - $975.23 = $571.63
The expenses of $35 and $75.51 are biweekly. Since we are calculating per month, we multiply each of the expenses by 2.
Deduct 2($35) and 2($75.51):
$571.63 - $70 - $151.02 = $350.61
The amount saved per month is $350.61.
In 5 months, the amount saved is 5 * $350.61 = $1753.05
$1753.05 is greater than $1,600.
Answer: c. $1,753.05; yes
Which of the following side-angle relationships in △ABC are true? Select all that apply.
A. The largest angle is opposite the smallest side.
B. The smallest angle is opposite the largest side.
C. The smallest angle is opposite the smallest side.
D. The largest angle is opposite the largest side.
The true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
What are a triangle's properties?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The properties of a triangle are:
Three sides, three angles, and three vertices make up a triangle.A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.Any two triangle sides can add up to a length that is longer than the third side.The greatest side of a triangle is the side that faces the largest angle.Any exterior angle of the triangle is equal to the sum of its interior opposite angles. This is called the exterior angle property of a triangle.Therefore, the true relationship between the angle and the side of the triangle is that the largest angle is opposite the largest side. The correct option is D.
To know more about the properties of the triangle follow
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Daniella will go to school five times next week. Find the probability that Daniella will be late more than once.
p = 5/6
Answer:
1/34
Step-by-step explanation:
its and propity of 1/4 time the value it self plus what you take
Are the ratios 1:5 and 3:15 equal?
Answer:
no, 3/15 reduces to 1/3 and 1:3 isn't equal to 1:5
Answer:
yes they are because they are by three
Step-by-step explanation:
The difference of negative thirteen and eight multiplied by the square of two.
Answer:
-100
Step-by-step explanation:
(-13-8)2^2
-25*4=-100
The point (-4, 1) is rotated 180 degrees counterclockwise using center (-3, 0). What are the coordinates of the image?
Answer: Coordinates of the image are (-2 , -1)
Step-by-step explanation:
The rule for 180° rotation counterclockwise is:
(x , y) ⇒ (-x , -y)
This means that to get the coordinates of a point rotated 180° counterclockwise, all you have to do is flip the signs of both the x and the y
Now, we are given the point (-4 , 1)
Applying the above rule:
[tex]( x image, y image) = (-(-4),-(1))[/tex]
[tex](x image, y image) =(-2, -1)[/tex]
this is easy but my brain is not working
Answer:
Y=10
Step-by-step explanation:
A water drip system in a garden uses 2/3 cups of water every 1/6 of an hour. a) How much water is used in 1 hour? b) Use your equation to caculate how much water is used after 24 hours.
Answer:
A) 4 per hour
B) 96 per day
Step-by-step explanation:
A) 2/3 times 6 is 4
B) 4 times 24 is 96
There are 3 girls to every 5 boys. If there are 36 girls, how many boys are there?
i am in middle school
Answer:
nice
Step-by-step explanation:
Answer:
Cool ig. So am I lol. Do you need help with something or no?
Step-by-step explanation:
Maya estimates that the wait time for her favorite roller coaster is 35 minutes. The actual wait time is 55 minutes. What is the percent error of laya's estimate
Answer:
36.4%
Step-by-step explanation:
Actual wait time is 55 minutes
Approximate wait time is 35 minutes
Therefore the percent error can be calculated as follows
= 35-55/55 × 100
= 20/55 × 100
= 0.3636 × 100
= 36.4%
Seth sells candles for $14.35 each. Last week, he sold 21 candles. Seth pays $2.40 for materials for every 3 candles. How much did Seth earn last week?
Answer:
$284.55
Step-by-step explanation:
total of sold candles:$14.35 × 21 = $301.35
total for materials : 21÷3 = 7
=7×$2.40
=$16.8
net earn; $301.35-$16.8 =$284.55
Insert each of the following numbers between two consecutive multiple of 10
Answer:
10 (13) 15
35 (37) 40
45 (48) 50
60 (61) 65
90 (93) 95
Step-by-step explanation:
Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park.
adults?
teenagers?
children?
Answer:
Step-by-step explanation:
line up your givens like this:
1, 575 visitors 100%
? adults 56%
? teeenagers 16%
? children. 28%
cross-mulyiply
adults*100 = 1,575*56
teens*100 = 1,575*16
children*100 = 1,575*28
divede each side by 100
adults= 1,575*56/100
teens = 1,575*16/100
children= 1,575*28/100
solve
adults= 882, teens = 252, children= 441
Answer:
adults= 882, teens = 252, children= 441 easy
Step-by-step explanation:
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
0.6t I found it on brainly lol
Answer:
Step-by-step explanation:
C. O.6
Q3. Elisa got $120 for her birthday. She wants to buy the new apple airpods
that cost $250. If she saves an additional $10 per month, how many months
would it take for her to have enough? Let m equal the number of months
needed to save. *
250 + 120 = 10m
250 + 10m = 120
120 + 10m = 250
10m = 250
Please help it's for an assessment !
Answer:
13m
Step-by-step explanation:
this is because she needs 130
Answer:
13 months
Step-by-step explanation:
subtract 120 from 250 because that is how much she already has and then divide that answer by ten which will give you the number of months
Sofia wants to buy a new pair of jeans. At Pants World, the jeans she wants cost $40 and they're having a 25% off sale. At All Clothes, the same jeans cost $38 and she has a $6 off coupon. What is the best deal?
1.Purchase at Pants World, because the cost after discount will be $15
2.Purchase at Pants World, because the cost after discount will be $30
3.Purchase at All Clothes, because the cost after coupon will be $32
4.Purchase at All Clothes, because the cost after coupon will be $34
Answer:
number 2
Step-by-step explanation:
Purchase at Pants World, because the cost after the discount will be $30. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The cost of jeans at the Pants world is calculated as,
⇒ $40 - 25% of $40
⇒ $40 - 0.25 x $40
⇒ $40 - $10
⇒ $30
The cost of jeans at All Clothes is calculated as,
⇒ $38 - $6
⇒ $32
Purchase at Pants World, because the cost after the discount will be $30. Then the correct option is B.
More about the Algebra link is given below.
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help with this slope
Answer:
20,100 I think
Step-by-step explanation:
Answer:
20/10
Step-by-step explanation:
goes up 20
goes to the right 10
Help please, i dont know this :)
Answer:
b, c, a
Step-by-step explanation:
Answer: B, C, A
Step-by-step explanation: you go from the biggest number to the smallest
89 divided by 37 with a reminder and answer
Answer:89/37=2 remainder 15
Step-by-step explanation:
Check:
37*2=74
74+15=89
Answer:
2.40.405
Step-by-step explanation:
thats with out a reminder
what does x equal on a quadrilateral if the other angles are 129, 71, and 42
Answer:
The other angle is 118 degrees
Step-by-step explanation:
All quadrilaterals add up to 360 degrees, so if we add 129+71+42 we get 242. Now we take 242 from 360 and get 118. Hope this helped :)
PLEASE HELP I HAVE NO CLUE WHAT TO DO
Answer:
b= \frac{1}{2ha} -c
Step-by-step explanation:
you would multiply to remove the variable from the denominator and simplify
83%
The work in an office takes 150 hours to complete every week.
Each person in the office works for 32 hours a week.
a)
What is the smallest number of people needed to complete the work?
b)
The number of hours each person works is decreased to 30 hours a week.
Does the office still need the same number of people?
Answer 'yes' or 'no'.
Answer:
a) 5
b) yes
a) reason is 5x32 = 160 hour
b) reason is 5x30 = 150 hour
The weight limit for a bookshelf is 25 pounds. Niyant has 60 books to put on the shelf. Each book weighs 0.45 kilograms. Can Niyant fit all 60 books on the shelf? How many books can she fit on the shelf? (1 kilogram is equivalent to about 2.2 pounds
PLEASE SOLVE
WILL GIVE BRANLIEST
Answer: 90
Step-by-step explanation:
Write the equation x2+24x+60=0 in the form (x+p)2=q
Answer:(x + 12) ^2 -60
Step-by-step explanation:i evaluated this and i got it
Which statement regarding functions is true?
O Each input results in exactly 1 output.
O Each input results in 2 outputs.
Each input results in between 1 and 5 outputs
Each input results in infinitely many outputs.
Answer: O each input results in exactly 1 output
If you have one input you will have exactly 1 output
Answer:
Each input results in 1 output.
Step-by-step explanation:
Fill in the blank by choosing the correct symbol (<, >, or = ): -6 _____ -22 *
Answer:
the answer is ">"
Answer:
>
Step-by-step explanation:
because -6 is bigger than -22
help me plssssssssssss
Solve the equation | x + 2 | = | x - 6 |. Graph the solutions if possible
The sum of 35 and a certain number divide by 4. the results is equal to double the number. find the number
Answer:
Subtract x and divide by 7 to get:
x=5
So now we know the number is 5.
Step-by-step explanation: