I NEAD HELP ASAP The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax. (50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55 (50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60 (60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66 (60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72
Answers
Answer:
Step-by-step explanation:
multiply 52 times 90% +52
Answer:
Option B is the correct answer.
Explanation:
The image below is the correct answer.
Related Questions
The simple interest on a principal amount, P, borrowed for Tyears at R% annual interest is given by the following
formula.
P.R.T
100
Which of the following describes the relationship between the variables of the simple interest formula?
OP depends on Rand T
OR depends on Pand T
I depends on P, R, and T
O R depends on /
Answers
Answer:
I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Step-by-step explanation:
We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :
Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]
So,[tex]I \propto P[/tex]
[tex]I \propto T[/tex]
[tex]I \propto R[/tex]
So, I depends on P , T and R
So, Option C is true .
Hence I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Answer:
I depends on P, R, and T
Step-by-step explanation:
HELP EASY MATH PROBLEMS
Answers
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
Assuming Steven is paying, 51+45+2=98 cents.
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day
find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°
Answers
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
Positive Coterminal Angles:
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
Negative Coterminal angles:
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
A) 11
B) 15 4/5
C) 17 1/2
D) 21
Answers
Answer:
Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
Step-by-step explanation:
Given:
Amount of drink mix = 19 (1 /4) gram = 19.25 gram
Amount of water = 1 (3 /4) ounces = 1.75 ounces
Find:
Unit rate in grams of drink mix per ounce of water = ?
Computation:
⇒ Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water
⇒ Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75
⇒ Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
If a ball is dropped, how long does it take to fall 60.0 m?
Answers
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
Answer:
It takes 3.498 seconds.
Step-by-step explanation:
To calculate free fall you must use the formula: h=1/2gt^2
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
k = 28
k = 29
k = 31
k = 42
Answers
Answer:
29
Step-by-step explanation:
If you mean the exterior angle at the same vertex as the interior,
(9+k)+(5k-3)=180
9+k+5k-3=180
6k+6=180
6k=174
k=29 degrees
Answer:
29
Step-by-step explanation:
If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%
Answers
Answer:
Answer is 67%
Step-by-step explanation:
If you want to get the number four from 4 rolls the chances would be
1st roll = 1/6 (16.667%)
2nd roll = 2/6 (33.333%)
3rd roll = 3/6 (50.000%)
4th roll = 4/6 (66.667%)
So the answer is 67%
59:52
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
Answers
Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.
The graph of any nonvertical line can be represented by an equation in the form_________________________.
Answers
Answer:
Ax+By=C
Step-by-step explanation:
Answer:
an equation
Step-by-step explanation:
just did it
plz help me with these problems
Answers
Answer: number 16 is d
number 20 is d
Step-by-step explanation:
Answer:
The answer for 16 is A, the answer for 20 is D, and the answer for 25 is A
Step-by-step explanation:
For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.
For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces
For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.
HELP ASAP I WILL GIVE U BRAINLIEST
Answers
Answer:
The final answer is [tex]\frac{8}{27}[/tex] .
Step-by-step explanation:
Solve the following equation:
[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]
-Simplify [tex]2^{2}[/tex] :
[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]
[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]3^{-1}[/tex] :
[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :
[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]4^{-1}[/tex] :
[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:
[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]
-Simplify [tex]\frac{1}{3}^{-1}[/tex] :
[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]
[tex]3 \over 2^{-3} \times 3^{4}[/tex]
-Then, on the denominator, simplify [tex]2^{-3}[/tex] :
[tex]3 \over 2^{-3} \times 3^{4}[/tex]
[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]
Simplify [tex]3^{4}[/tex] :
[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]
[tex]3 \over \frac{1}{8} \times 81[/tex]
Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:
[tex]3 \over \frac{1}{8} \times 81[/tex]
[tex]3 \over \frac{81}{8}[/tex]
Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :
[tex]3 \over \frac{81}{8}[/tex]
[tex]3 \times (\frac{81}{8})[/tex]
-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:
[tex]3 \times (\frac{81}{8})[/tex]
[tex]\frac{8}{27}[/tex]
So, the final answer would be [tex]\frac{8}{27}[/tex] .
write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
Answers
Answer:
-5n + 8
Step-by-step explanation:
1. What is the difference?
The sequence goes down by 5. This means that the formula will have -5n in it.
2. Work out the term before the first term.
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
3. Put that term at the end of the equation.
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
Substitute: n = term
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
[tex] \sqrt[3\\ ]{27/125} [/tex]
enter as fraction
Answers
The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?
A. 20% of eighth-grade students preferred the seacoast
B. 32% of seventh-grade students preferred the mountains
C. 40% of students preferred the mountains
D. 48% of students preferred the seacoast
Answers
Answer:
The statement true about the results of the survey is:
D. 48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?
Answers
Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
CN someone help me please
Answers
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answers
Answer:
y=0.5x-4
Step-by-step explanation:
y+3=0.5(x-2)
y+3=0.5x-1
y=0.5x-4
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed
8x/7=8
X=?
Answers
Answer:
Step-by-step explanation:
[tex]\frac{8x}{7}=8[/tex]
Multiply both sides by 7
[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]
x = 7
Answer:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]\frac{8x}{7} = 8[/tex]
-Multiply both sides by the denominator, which is [tex]7[/tex]:
[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]
[tex]8x = 56[/tex]
-Divide both sides by 8:
[tex]\frac{8x}{8} = \frac{56}{8}[/tex]
[tex]x = 7[/tex]
So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].
Can someone help me please?
Answers
Answer:
8 degrees
Step-by-step explanation:
Hope this helps!
Answer:
8 Degrees
Have a nice day!
In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?
Answers
Answer:
[tex]x=15^\circ[/tex]
Step-by-step explanation:
In a right triangle:
[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]
Therefore, given:
[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]
Solve the following system:
y = x + 3
4x + y = 18
Your answer:
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answers
Answer:
B (3,6)
Step-by-step explanation:
y = x + 3
then we will use this y to substitute the other y
4x + y = 18
4x + (x +3) = 18
4x + x + 3 = 18
5x = 18 - 3
5x = 15
x = 15/5 = 3
then we can find the value of y
y = x + 3 = 3 + 3 = 6
so the (x,y) is (3,6)
What is the value of the expression?
Negative 16 + 12
Answers
Answer:
-4
Step-by-step explanation:
-16 + 12
When the signs are different we subtract the smaller from the larger and take the sign of the larger
16-12 = 4
The larger number has a sign of negative
-4
Answer:
b
Step-by-step explanation:
ur mom
if 5800 people buy something that's 0.25 cents how much money would be made
Answers
Answer:
1450
Step-by-step explanation:
Take the amount of people times the dollar amount
5800 * .25 =1450
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answers
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service.
Answers
Answer: £ 260.78
Step-by-step explanation:
find f(3) for f(x)=3^x+3
Answers
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
What is the complete factorization of the polynomial below?
x3 + x2 + 4x + 4
Answers
x = -1
x = 2
x = -2
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Checking for a perfect cube :
1.1 x3+x2-4x-4 is not a perfect cube
Trying to factor by pulling out :
1.2 Factoring: x3+x2-4x-4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3+x2
Group 2: -4x-4
Pull out from each group separately :
Group 1: (x+1) • (x2)
Group 2: (x+1) • (-4)
-------------------
Add up the two groups :
(x+1) • (x2-4)
hhheellllpppppppppppppppp
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Just multiply the 1 times 4
Tim has two spinners, spinner A and spinner B. Each spinner can only land on red or blue. The probability that spinner A will land on red is 0.5. The probability that spinner B will land on red is 0.6. Tim spins spinner A once and he spins spinner B once. He does this a number of times. The number of times both spinners land on red is 84. Workout an estimate for the no of time both spinners land on blue. I have and attached tree diagram
Answers
Answer:
56 times
Step-by-step explanation:
To find the probability of both spinners landing on red, we need to multiply the probability of the spinner A landing on red (0.5) by the probability of the spinner B landing on red (0.6):
P(redA and redB) = 0.5 * 0.6 = 0.3
Then, to find the probability of both landing on blue, we do the same:
P(blueA and blueB) = 0.5 * 0.4 = 0.2
Now, if the number of times that both spinners land on red is 84, to estimate the number of times that both land blue, we just need to multiply this number of times by the ratio of P(blueA and blueB) over P(redA and redB):
84 * 0.2 / 0.3 = 56 times
Find the area of the following shapes:
Answers
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!