Every year there are 14 more ducks. The starting point would be 50 and the equation is:
d = 14*year+50
Yul has lunch at a resterant if his bill was $14.50 and yul wants to leave a 20% tip what is the amount he should leave for the tip
14.50 times 0.20 = 2.9
He would give a $2.90 as a tip of 20% from a bill of $14.50
Help With Proving Theorems
20 POINTS
1. If two vertical angles are supplementary, what is the measure of each angle?
Remember that when two angles are vertical angles, their angle measurements are the same, as the angles are congruent.
Note the Vertical Angle Theorem. Angles vertically opposite (directly opposite) when two lines intersect are congruent with each other.
Now note that supplementary means 180°
Set the equation. Let the angles = x
2x = 180
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Divide 2 from both sides
(2x)/2 = (180)/2
x = 180/2
x = 90
90° is the measurement of each angle.
~Rise Above the Ordinary
in how many ways can five girls and five boys stand in line if boys and girls must alternate?
[tex]5\cdot5\cdot4\cdot4\cdot3\cdot3\cdot2\cdot2\cdot1\cdot1\cdot2=28,800[/tex]
On a trip to the movies a family spent 35 on tickets and another 25 on popcorn. They alsp spent 10 on drinks. The oldest son spent some money on candy. Altogether the family spent 76. How much did the oldest son spend on candy
$6 dollars on candy because 35+25+10=70, 76-70=$6
How do I find the zeros of x^4-10x^3-66x^2-94x-39
Answer: x = -1, -3, 7 + √62, 7 - √62
Step-by-step explanation:
q p
x⁴ - 10x³ - 66x² - 94x - 39
[tex]\frac{p}{q}[/tex] = +/- [tex]\frac{1*3*13*39}{1}[/tex]
possible rational factors: 1, -1, 3, -3, 13, -13, 39, -39
Use synthetic division or long division to see which factor will leave a remainder of 0.
try x + 1 = 0 ⇒ x = -1
-1 | 1 -10 -66 -94 -39
| ↓ -1 11 55 39
1 -11 -55 -39 0
(x + 1)(x³ - 11x² - 55x - 39)
next, try x + 3 = 0 ⇒ x = -3 for the new polynomial
-3 | 1 -11 -55 -39
| ↓ -3 42 39
1 -14 -13 0
(x + 1)(x + 3)(x² - 14x - 13)
Lastly: find the zeros by setting each factor equal to zero and solve.
x + 1 = 0 ⇒ x = -1
x + 3 = 0 ⇒ x = -3
x² - 14x - 13 = 0
[tex]x = \frac{-(b) +/- \sqrt{(b)^{2} -4(a)(c)}}{2(a)}[/tex]
[tex]= \frac{-(-14) +/- \sqrt{(-14)^{2} -4(1)(-13)}}{2(1)}[/tex]
[tex]= \frac{14 +/- \sqrt{196+52}}{2}[/tex]
[tex]= \frac{14 +/- \sqrt{248}}{2}[/tex]
[tex]= \frac{14 +/- 2\sqrt{62}}{2}[/tex]
[tex]= 7 +/- \sqrt{62}[/tex]
Geometry help , only answer if your sure please. The question is in the attached
Your answer would be D, The translation doesn't change the size or shape. Just location.
Hope this helped.
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
A.
x2 + y2 − 4x + 2y + 1 = 0
B.
x2 + y2 + 4x − 2y + 1 = 0
C.
x2 + y2 + 4x − 2y + 9 = 0
D.
x2 − y2 + 2x + y + 1 = 0
Answer:
B. x² + y² + 4x − 2y + 1 = 0Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the center (-2, 1) → h = -2 and k = 1.
The radius is the distance between the center and the given point.
Therefore put the coordinates of the points (-2, 1) and (-4, 1) to the formula of a distance between two points:
[tex]r=\sqrt{(-4-(-2))^2+(1-1)^2}=\sqrt{(-2)^2+0^2}=\sqrt{4}=2[/tex]
We have the equation in standard form:
[tex](x-(-2))^2+(y-1)^2=2^2\\\\(x+2)^2+(y-1)^2=4[/tex]
Convert to the genereal form using:
[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\\\\x^2+y^2+4x-2y+5=4\qquad\text{subtract 4 from both sides}\\\\\boxed{x^2+y^2+4x-2y+1=0}\to\boxed{B.}[/tex]
Can someone help me please?
Answer:
i think that the best answer to the question is b
Step-by-step explanation:
Picture of an inequality word problem. It says the answer is between 2 and 5 hours but I have no idea how to get that answer. Please help me with how to get that answer :(
it should be about 4-5 hours because her mom sleeps half the time that Mei sleeps!! you are welcome!
Are O, N, and P collinear? If so, name the line on which they lie.
We are given a figure where M, N , O and P points are given.
We need to explain if points O, N, and P collinear or not.
Note: All co-linear points are in a straight line.
From the figure, we can see that O and N points are in a straight line but point P is aside.
So, the points O, N, and P are not collinear.
Therefore, correct option is "No, the three points are not collinear".
A conjecture and the flowchart proof used to prove the conjecture are shown.
Drag an expression or phrase to each box to complete the proof
Here are the answers below that I got. Hope this helps mate. Cheers.
Answer:
As mention in the explanation steps.
Step-by-step explanation:
The following expression or phrase to each box are helpful to complete the proof.
(1). We say that ∠ACB and ∠BCD are supplementary, from linear pair of postulate.
(2). ∠ACB + ∠BCD =180°, because ∠ACB and ∠BCD are supplementary (from the difinition of supplementary angles).
(3). ∠ACB +45° = 180° because ∠BCD =45°(substitute).
(4).Subtraction properties of equality ( because we subtract 45 degree from both sides of the previous equation).
(5). ∠ABC is obtuse, because m∠ABC grater than 90°.
(6). From the definition of obtuse triangle (ΔACB is an obtuse triangle because ∠ACB =135 degree which is grater than 90 degree).
What is the number that has the same absolute value as 81
John recieves £173 per week after working for 25 hours. How much does he get per hour
Answer:
Amount John gets paid per hour [tex]6.92[/tex] Dollars per hour ,
Step-by-step explanation:
To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.
Amount John gets paid per hour = [tex]\frac{173}{25}[/tex] Dollars per hour.
=[tex]6.92[/tex] Dollars per hour
mary pitches a ball. the initial height is 8 ft and velocity 80 ft per second. when will the ball hit the ground?
Initial velocity of the ball (u) = 80 ft/ sec
Final velocity of the ball after reaching the ground (v) = 0
Distance covered by the ball to reach the ground (s) = 8 ft
Let "a" be the acceleration of the ball.
We know, [tex]2as=v^{2}-u^{2}[/tex]
[tex]2a(8)=0-80^{2}=-6400[/tex]
[tex]a=-\frac{6400}{16}[/tex]
[tex]a=-400ft/s^{2}[/tex]
Let "t" be the time required to reach the ground.
We know,
[tex]v=u+at[/tex]
[tex]t=\frac{v-u}{a}[/tex]
[tex]t=\frac{0-80}{-400}[/tex]
[tex]t=0.2s[/tex]
The ball will hit the ground in 0.2 second.
The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .
What is the probability of drawing a second orange ball, given that the first ball is orange?
1/7
11/75
2/7
1/6
Answer:
answer is 1/7
Step-by-step explanation:
Given that there were some orange balls in a bag.
The probability of choosing two orange balls without replacement is 1/35 , and the probability of choosing one orange ball is 1/5 .
We have to find out the probability of drawing a second orange ball, given that the first ball is orange
Let A - I ball orange
B = II ball orange
Then P(AB) = 1/35 (given)
P(A) = 1/5 (given)
The probability of drawing a second orange ball, given that the first ball is orange = P(B/A)
=P(AB)/P(A)
= 1/35 divided by 1/5
= 1/7
answer is 1/7
Answer: 1/7
Step-by-step explanation:
An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble that is red or white? (b) What is the probability of drawing a marble that is neither red nor white? (c) What is the probability of drawing a pair of marbles, one red and one white at the same time? (d) What is the probability of drawing a pair of marbles, one blue and one orange at the same time?
Answer:
a) 0.70
b) 0.30
c) 12/45 =4/15
d) 2/45
Step-by-step explanation:
a) Prob of drawing a marble red or white = No of red and white marbles/total marbles
= 7/10 = 0.70
b) Prob of drawing a marble neither red nor white = 1-7/10 = 0.30
c) Prob of drawing two marble one red and one white at the same time
= [tex]\frac{4C1 (3C1}{10C2 } =\frac{12}{45}[/tex]
d) Prob of drawing two marble one blue and orange white at the same time
= [tex]\frac{2C1 (1C1}{10C2 } =\frac{2}{45}[/tex]
***PLEASE HELP WILL GIVE BRAINLIEST!!!***
If DG equals 88, DO = 5x+12 and OG =2x, find DO
.______________.________.
D O G
in the number line, the end points are DG, and the point in between is O
DG = 88
DO = 5x + 12
OG = 2x
Set the equation. The two parts (DO & OG) are equal to the whole (DG)
2x + 5x + 12 = 88
Simplify. Combine like terms
(2x + 5x) + 12 = 88
7x + 12 = 88
Isolate the x. Remember to do the opposite of PEMDAS. Subtract 12 from both sides
7x + 12 (-12) = 88 (-12)
7x = 76
Isolate the x. Divide 7 from both sides:
7x/7 = 76/7
x = 76/7
----------------------------------------------------------------------------------------------------------------------------
Find DO. Plug in "76/7" for x:
DO = 5x + 12
DO = 5(76/7) + 12
Simplify. Remember to follow PEMDAS. Multiply 76 with 5
DO = 380/7 + 12
Next, divide 380 with 7
DO = 54.29 (rounded)
Finally, add
DO = 54.29 + 12
DO = 66.29
66.29 is your answer
hope this helps
10 rubber stamps cost $10.30. What is the cost for 2 rubber stamps?
Answer:
2.06
Step-by-step explanation:
you should divide the 10.30 dollars by 10 which wlll give you the answer of one of them then you just multiply what you got by 2 ((:
To find the cost for 2 rubber stamps from the given information about 10 rubber stamps costing $10.30, the cost for 2 stamps is $2.06.
The cost for 10 rubber stamps is $10.30. To find the cost for 2 rubber stamps, we need to calculate the cost per rubber stamp and then multiply it by 2.
Cost per rubber stamp = Total cost / Number of rubber stamps = [tex]\frac{10.30}{10} = 1.03[/tex]
Cost for 2 rubber stamps = $1.03 per rubber stamp [tex]\times[/tex] 2 rubber stamps = $2.06
Denzel can mow 1/8 of his yard every 7 minutes. If he had 40 minutes to mow 3/4 of the yard, will he have enough time
Answer:
No. He is short by 2 minutes
Step-by-step explanation:
Given that Denzel can mow 1/8 of his yard every 7 minutes.
Hence he can mow the full yard in 7(8) = 56 minutes.
Now he has to do 3/4 of his yard and time is 40 minutes
For 3/4 of yard time taken would be = 3/4 (56) = 42 minutes.
If he had 40 minutes to mow 3/4 of the yard, he will not have enough time since he is short of time by 2 minutes.
Multiply. (9x−2)(3x−8) Enter your answer, in standard form, in the box. show how to if possible plz and thanks <3
So, the product of (9x - 2)(3x - 8) in standard form is: [tex]27x^2 - 78x + 16[/tex]
What is the MultiplicationTo multiply the expressions (9x - 2) and (3x - 8)
Step 1: Use the distributive property
(9x - 2)(3x - 8) = 9x * (3x) + 9x * (-8)
(9x - 2)(3x - 8) = -2 * (3x) - 2 * (-8)
So , perform the multiplications:
Multiply the terms:
[tex]9x * 3x = 27x^2[/tex]
9x * (-8) = -72x
-2 * 3x = -6x
-2 * (-8) = 16
Combine like terms:
[tex]27x^2 - 72x - 6x + 16[/tex]
Simplify further by combining like terms:
27x^2 - 78x + 16
So, the product of (9x - 2)(3x - 8) in standard form is: [tex]27x^2 - 78x + 16[/tex]
Learn more about Multiplication from
https://brainly.com/question/10873737
#SPJ4
Please Help! <3 Which relation is a function?
Apply the vertical line test. Think of a vertical line moving from left to right in the graph. If the graph of the relation intersects the vertical line in more than one point in any position of the vertical line, then the relation is not a function.
The only graph that passes the vertical line test is the graph at the bottom right.
The graph at the bottom right is a function. All others are not.
The ticket price for the hockey match was 14.50. The price has increased by 7%. How much is a ticket after the increase
Answer:
15.5
Step-by-step explanation:
Will mark brainliest please help , worth 30 points need answers too both
(18)
2.5% of 129,500 is
$129500 * 0.025 = $3237.50 is the commission on the sale
(19)
sales $3012
commission 3.5% of sales: 0.035 * 3012 = $105.42
Raquelle's total earnings: $290 + 105.42 = $395.42
Jim has answered 7 e-mails this is 35% of the e-mails he must answer how many emails does he need to answer?
Answer: He needs to answer 20 emails.
Step-by-step explanation:
Given : Jim has answered 7 e-mails . (1)
This is 35% of the e-mails he must answer .
We can write 35% as 0.35.
Let x be the number of emails he need to answer.
Then, Number of mails he has answered = 0.35x (2)
From (1) and (2), we have
[tex]0.35=7\\\\\Rightarrow\ x=\dfrac{7}{0.35}=\dfrac{700}{35}=20[/tex]
Hence, he needs to answer 20 emails.
A box of 20 dictionaries costs $84. An individual dictionary costs $5. You need at least 55 dictionaries. Find the price of each combination of items.
55/20=2 as qutiont and 15 as remainder
2X84=168
15X5=75
answer=243
I need halpp can ya'll folks help ma plez.What is 2.5x=15 thank you
place x to the other side of the equation
x=15/2.5
x=6
Answer:
6
Step-by-step explanation:
If you take 15 and divide it. by 2.5 you. get 6
Martina works mowing lawns and babysitting. She earns 7.90 for mowing lawns and 6.90 for babysitting. How much will she earn for 7 hours of mowing and 1 hour of babystting
mowing lawns: 7 * $7.90 = $55.30
+ babysitting: 1 * $6.90 = $ 6.90
$62.20
Answer: $62.20
Enter an equation that can be used to find x. (Picture below)
The equation ____ can be used to find x.
(2x+1)+89=180. 180 is the angle of a straight line. Set your two known sides equal to 180 and solve for x if needed.
Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87. She paid a total of what dollars for the two pairs of shoes.
Answer:
13.33
Step-by-step explanation:
During a promotional event a sporting good store gave a free t-shirt every eighth customer and a free water bottle every 10th customer which customer was the first to get a free t-shirt and a free water bottle
Answer:
40th customer
Step-by-step explanation:
Given that there is a promotional event
A sporting good store gave t shirt and free water bottle.
T shirt was given to 8th customer and water bottle to every 10th customer.
For the first person who should get both, he should have number as least common multiple of 8 and 10
8 = 2x2x2
10 = 2x5
Hence least common denominator = 2x2x2x5 = 40
Thus 40th customer will be the first to get both.