Answer:
67.33.
Step-by-step explanation:
To figure out the tip, you need to find 20% of $52.60.
0.2×52.6=10.52
You should leave $10.52 for the waiter if you want to leave him exactly 20%.
To figure the tax, you need to find 8% of $52.60.
0.08×52.6=4.208
Next, add them up:
52.6+10.52+4.208=67.328
The total bill, including tax and tip, will be $67.33.
A race director is preparing for an upcoming marathon and estimates that the mean time to
finish is 310 minutes. Assume
that the times are normally distributed, with a standard deviation of 50 minutes.
Use a standard normal table or a calculator to find the percentage of times that are longer than 236 minutes. For your
intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example
98.23%).
93.06% of the race is longer than 236 minutes.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 310, σ = 50
For x > 236:
[tex]z=\frac{236-310}{50}=-1.48[/tex]
From the normal distribution table:
P(x > 236) = P(z > -1.48) = 1 - P(z < -1.48) = 1 - 0.0694 = 0.9306 = 93.06%
93.06% of the race is longer than 236 minutes.
Find out more on z score at: https://brainly.com/question/25638875
I need help with this
========================================================
Explanation:
Recall that y = mx+b is the slope intercept form of any linear equation
m = slopeb = y interceptThe given equation has m = 4/5 as the slope. Flip the fraction to get 5/4 and then flip the sign to get -5/4
The original slope is 4/5 and the perpendicular slope is -5/4. Note how the slopes multiply to -1.
The slope for the answer is -5/4 and the y intercept for the answer is -8
Therefore, the perpendicular line is y = (-5/4)x - 8
Find the equation in standard form of the line passing through the points (6, 3) and (1,5)
Answer:
2x+5y=27
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(1-6)
m=2/-5
m=-2/5
y-y1=m(x-x1)
y-3=-2/5(x-6)
y-3=-2/5x+12/5
y=-2/5x+12/5+3
y=-2/5x+12/5+15/5
y=-2/5x+27/5
y-(-2/5x)=27/5
y+2/5x=27/5
5(y+2/5x)=5(27/5)
5y+2x=27
2x+5y=27
Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
What is the perimeter of the trapezoid?
10m
8m
10m
18m
Answer:
46 m
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of its sides.
8m +10m +10m +18m = 46 m
The perimeter of the figure is 46 meters.
Points M (2, 9) and N (-1, 3) are on a line with y-intercept 5. What is the equation of the line?
Answer:
Whenever you are given two points, start by naming the points. (2, 9) becomes (x1, y1); then (-1, 3) becomes (x2, y2). When you know which numbers you are putting into which formulas, it makes it much easier.
Start with finding your slope. m = y2 - y1/ x2 -x1
Step-by-step explanation:
Hope This Helps! Please Mark Brainliest!
Identify the first five terms of the sequence in which a1 = 3 and an = 4an−1− 5 for n ≥ 2.
Step-by-step explanation:
a1 = 3
an = 4an-1 - 5
a2 = 4×3 - 5 = 12 - 5 = 7
a3 = 4×7 - 5 = 28 - 5 = 23
a4 = 4×23 - 5 = 92 - 5 = 87
a5 = 4×87 - 5 = 348 - 5 = 343
Answer:
3, 7, 23, 87, 343
Step-by-step explanation:
Using the recursive rule and a₁ = 3 , then
a₂ = 4a₁ - 5 = 4(3) - 5 = 12 - 5 = 7
a₃ = 4a₂ - 5 = 4(7) - 5 = 28 - 5 = 23
a₄ = 4a₃ - 5 = 4(23) - 5 = 92 - 5 = 87
a₅ = 4a₄ - 5 = 4(87) - 5 = 348 - 5 = 343
What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}
[tex]\large\underline{\sf{Solution-}}[/tex]
Given inequation:
[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]
[tex]\sf\longmapsto 8x-2<12x+4[/tex]
[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]
[tex]\sf\longmapsto 8x-6<12x[/tex]
[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]
[tex]\sf\longmapsto -6<4x[/tex]
[tex]\sf\longmapsto 4x>-6[/tex]
[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]
[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]
Therefore:
[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]
Please help thank you
Answer:
2 × n - 1 = x
Step-by-step explanation:
for example:
[tex]2(4) - 1 = 7[/tex]
[tex]2(5) - 1 = x \\ 10 - 1 = x \\ x = 9[/tex]
Find the equation of the polynomial function graphed below.
A) f(x) = x3 − 3x2 − 6x + 8
B) f(x) = 8x3 − 24x2 − 48x + 64
C) f(x) = x3 + 3x2 − 6x − 8
D) f(x) = 8x3 + 24x2 − 48x − 64
Answer:
See image
Step-by-step explanation:
Check out the y-intercepts for these equations and look at the y-intercept on the graph. The y-intercept is the point where x=0. So it's mental math you can do in a couple of seconds per equation. If x=0 all the x terms are zero and the y-intercept is just the constant at the end if the equation. I put a note on the graph and the answer choices. The constant is the y-intercept. Only one choice matches. See images.
help please, i'm confused
Answer: C
Step-by-step explanation:
Answer huuhHH
Step-by-step explanation:
someone said it is D CAN SOMEONE TELL ME THE RIGHT ONE
51.33333333 just round it plz
Answer:
51
Step-by-step explanation:
The answer would be 51 because the numbers behind the decimal are below 5
Answer:
51
Step-by-step explanation:
51.33333333 rounds to 51 because 3 is less than 5.
When rounding, always look at the number before the first number in front of the decimal. If it is more than 5, round up. If it is less than, round down.
Can someone pls help me!! And if u can explain how u do it I will very thankful for that..
Answer:
For the first question is 8y, and the second question would be 80
Step-by-step explanation:
The perimeter of a shape is calculated by adding it's sides together, and 2y+2y+2y+2y=8y. If y=10, we can substitute y for 10 in which 8*10 is 80.
What are all the fractions that are between 1/2 and 1.
Answer:
2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25 97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)
Step-by-step explanation:
Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00
This is like saying finding Fractions that give you percentages between 50% and 100%
for example:
you could simplify 52/100 and get 31/50
31/50 as a decimal would be 0.52 and 0.52 falls between(0.50 and 1.00) 1/2 and 1
example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9
0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine
If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has
| a b/c| then you can also use it.
or use an online calculator or simplify if you wish
To find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.
Five and 1/3÷2 2/3 simplified
Answer:
5 1/3 ÷ 2 2/3
Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).
5 1/3 = 16/3
2 2/3 = 8/3
16/3 ÷ 8/3
When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.
16/3 x 3/8
Multiply.
16/8
Divide by 8.
2
Hope this helps! :)
Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?
Answer 84 miles
Step-by-step explanation:
2hrs= 120min
7 miles/ 10 min = x miles/ 120 min
x = 84 miles
What is the equation of the line that passes through the point (8,-4) and has a slope of 1/2
Answer:
y = 1/2x - 8
Step-by-step explanation:
Assuming that they want the equation in slope intercept form we would use the following form: y = mx + b
where m = slope and b = y intercept.
We are given the slope and a point on the line. We need to find the y intercept. We can do this by plugging in what we are given and then solving for b.
y = mx + b
slope (m) = 1/2
x value of given point (x) = 8
y value of given point (y) = -4
- plug in these values -
-4 = (1/2)(8) + b
now solve for b
multiply 1/2 and 8
-4 = 4 + b
subtract 4 from both sides
-8 = b
So the y intercept (b) is -8
We now plug in the slope and y intercept into slope intercept form
y = mx + b
m = 1/2 and b = -8
y = 1/2x - 8 is the equation of the line that passes through the point (8,-4) and has a slope of 1/2
For more validation refer to the attached image.
[tex]\text{Given that,}\\\\(x_1,y_1) = (8,-4), ~~ \text{and slope, m} = \dfrac 12\\\\\text{Equation with given points,}\\\\y -y_1 = m(x-x_1)\\\\\implies y -(-4) = \dfrac 12 (x-8)\\\\\implies y+4 = \dfrac 12 x - 4\\\\\implies y= \dfrac 12x -4 -4 \\\\\implies y = \dfrac 12 x -8\\\\\implies y = \dfrac{x-16}2\\\\\implies 2y = x -16\\\\\implies x -2y = 16[/tex]
10. Andy has trumpet practice 4 times every month. Every practice lasts half an hour. What is the total number of minutes that Andy will practice?
Answer:
480min a month
Step-by-step explanation:
4×30 =120
120×4=480
In Manhattan, there are 15 CoffeeStops per 100,000 people Manhattan has approximately 1,602,000 people How many Coffee Stops are there?
Answer:
Given that 15coffee stops=100,000people
then: x= 1,602,000
100,000×x= 15×1,602,000
100,000x= 24,030,000
100,000x÷100,000= 24,030,000÷100,000
x= 240.3
so therefore there are 240.3 coffee stops if there are 1,602,000
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
In Manhattan, there are 15 CoffeeStops per 100,000 people.
Then the number of coffee shops per person will be
⇒ 15 / 100,000
⇒ 1.5 × 10⁻⁴ coffee shops per person
Manhattan has approximately 1,602,000 people.
Then the number of coffee shops will be
⇒ 1,602,000 × 1.5 × 10⁻⁴
⇒240.3 or 241 coffee shops
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
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Answer:
ur right
Step-by-step explanation:
Write a number using the following clues:
a multiple of 6
• greater than 30 but less than 90
Answer: The answer is 36(multiple possible answers though).
For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
Ali caught a fish that weighed 9 1/2 lb. Lisa caught a fish that weighed 5 3/4 lb. How much more did Ali’s fish weigh?
Answer: the answer is 3 3/4
(x-3)^2=5 ? confused
[tex](x-3)^2=5\implies \sqrt{(x-3)^2}=\sqrt{5}\implies (x-3)=\sqrt{5}\implies x = \sqrt{5}+3[/tex]
First one to put an answer gets Brainliest
What is 6-9461946105$)/&!5803&573!2.72!/‘u get Rory • 3
Answer:
I got its 69 or 六十九
Step-by-step explanation:
The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.
Explanation:
Consider ABCD is a rhombus
We know that
All sides are equal in rhombus i.e,
⇛AB=BC=CD=DA
and AC and BD are digonals
Given that
Diagonal and the side of the rhombus are equal.
⇛AB = BC = CD = DA = AC
Diagonal AC divides the rhombus into two triangles .
They are ∆ BAC and ∆ DAC
In triangle BAC
BA=BC=AC,(Given)
⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)
Similarly in ∆DAC ,
DA=DC=AC
⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)
From eqn(i) and eqn(ii)
∠A=∠BAC+∠DAC=60°+60°=120°
and
∠B= ∠ABC = 60°.
and
∠C=∠ACB+∠ACD=60°+60°=120°
and
∠D =∠ADC=60°
∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°
Answer:-The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.
Note: [Figure refers in the attached file.
ABC has vertices A(-3,2). B(3,2), and C(0, – 3). Is ABC scalene, isosceles, or equilateral?
Is ABC scalene, isosceles, or equilateral?
Answer:
isoselses!
Step-by-step explanation:
i hope that helps
PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3
Answer:
[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)
Step-by-step explanation:
Point-slope equation is: [tex]y-y_1=m(x-x_1)[/tex]
If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:
[tex]y-11=m(x+2)[/tex]
And of course we need to replace m with our slope:
[tex]y-11=\frac{4}{3}(x+2)[/tex]
