Answer:
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill. The solution x = 60 represents the total food bill.Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The food bill (x) plus the tip (16) ;divided by the number of friends (8) , must be equal to the total amount spent (76) divided by the number of friends (8):
Mathematically speaking:
(x+16) /8 = 76/8
(x+16) /8 = 9.5
(x+16) = 9.5 (8)
x+16 = 76
x = 76-16
x= 60 (food bill)
So, the correct options are:
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.(1/8 (x+16) =76/8)
The solution x = 60 represents the total food bill.Answer:
A & C is your answer.
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
£99. semoga membantu maksih
Answer:
The answer is 99 dollars
Step-by-step explanation:
Not showing workout...
Just showing how
1) Multiply 1.1452 * 270
2) Multiply 0.89 * 270
3) Subtract the second step from the first step
Hope this helps....
Pls mark my ans as brainliest :)Find the value of x that will make A||B.
5x + 9
A
B
6x-2
X =
[?]
Enter
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
Parallel lines A and B
Required
Find x
For A and B to be parallel, then 5x + 9 and 6x - 2 are alternate interior angles
And alternate interior angles are always equal
This means that
[tex]5x + 9 = 6x - 2[/tex]
Collect like terms
[tex]5x - 6x = -2 -9[/tex]
[tex]-x = -11[/tex]
Multiply both sides by -1
[tex]-1 * -x = -11 * -1[/tex]
[tex]x = 11[/tex]
Answer:
X=11
Step-by-step explanation:
What is the length of segment AD.
Answer:
AD= 5.82 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
*skipped these steps in the beginning:
∠ABC +∠ABD= 180° (adj. ∠s on a str. line)
90° +∠ABD= 180°
Factor the expression completely.
8x2 - 18
Answer:
2 ( 2x-3) (2x+3)
Step-by-step explanation:
8x^2 - 18
Factor out a 2
2(4x^2 -9)
Inside the parentheses is the difference of squares
2 ((2x)^2 - 3^2)
We know the difference of squares is (a^2 -b^2) = (a-b)(a+b)
2 ( 2x-3) (2x+3)
HELP ME OUT PLEASE!! -Find the number: 25% of a number is a lb.
Answer:
I’m going to generalise the answer in the hope of preventing a billion questions with the % changed a little.
If you have a calculator X% just means multiply by X and divide by 100.
If you don’t have a calculator or paper handy, you can split the problem: I’ll do it for 25% but in this case the other answers are simpler.
25%=10%+10%+5%.
Now 10% is easy, just move the decimal one place to the left, for instance 35 becomes 3.5.
5% is half of 10% 3.5/2=1.75
Add it all up: 3.5+3.5+1.75= 8.75. Done.
You don't even need to know multiplication above 5x tables, for instance
37% is 10%+10%+10%+7% but that requires multiplying by 7.
37% is also 10%+10%+10%+10% -3% only requiring 3x table.
I'm not sure if this is what you mean but here ya go
Answer:25%=
25/100
25/100 * 1/1
100 * 1/25*1=
100/25=
4
Step-by-step explanation:
use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42
Answer:
(6,3)
Option B is the right option.
please see the attached picture for full solution...
Hope it helps....
Good luck on your assignment...
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9
answer
2.5 x-0.6=4.9
Step-by-step explanation:
The height of a window is 0.6 feet less than 2.5 times its width.
If the height of the window is 4.9 feet.
Substitute in [1] we have;
2.5x-0.6 = 4.9
Therefore, an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9
Answer:
Or B
Step-by-step explanation:
for those you look for letters only
PLEASE HELP!!!! 5. POINTS EACH.
Answer:
question 3: 1/3 question 4: 5/7 question 5: 2/3
Answer:
1/3
5/7
2/3
Step-by-step explanation:
The numbers greater than 4 on a fair dice are 5 and 6.
2 numbers out of 6 or 2/6
2/6 = 1/3
Total parts = 7 + 12 + 18 + 5 = 42
12 are orange marbles.
42 - 12 = 30
30 marbles are red, yellow, and purple.
30/42 = 15/21 = 5/7
The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.
4 numbers out of 6 total numbers.
4/6 = 2/3
(07.06 LC) If the least value of n is 4, which inequality best shows all the possible values of n? Select one: a. n ≤ 4 b. n ≥ 4 c. n 4 Please help!
Answer: b.
Step-by-step explanation:
If n is greater than or equal to 4, then n could either equal 4 (least value) or any number greater than 4.
Answer:
B
Step-by-step explanation:
I did the exam
Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.
Answer:
{-3, 5.9, -3, 8.3}
Step-by-step explanation:
The range is always the second number of all pairs
Solve the compound inequality.
5 < 2x - 1<9
show your work solving the inequality
Answer:
x> 3 and x <5
OR
3 < x <5
Step-by-step explanation:
To solve the compound inequality, we will follow the steps below:
We will first break it into two inequalities.
That is;
5 < 2x - 1<9
5 < 2x - 1 AND 2x - 1<9
Then we will solve separately
5 < 2x - 1
add 1 to both-side of the equation
5 +1 < 2x - 1 +1
6 < 2x
Divide both-side of the inequality by 2
6 /2 < 2x/2
3 < x
x>3
we will now solve the other inequality
2x - 1<9
add 1 to both-side of the equation
2x - 1+1<9 +1
2x < 10
divide both-side of the inequality by 2
2x /2< 10/2
x < 5
Therefore x> 3 and x <5
or
3 < x <5
Answer:
[tex]x = (5 \: . \: 3)[/tex]
Step-by-step explanation:
To solve a compound inequality, seperate it into two inequalities:
[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ x < 5[/tex]
Find the intersection:
[tex]x = (5 \: . \: 3)[/tex]
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
Find the volume of a pyramid with a square base, where the area of the base is
5.5 cm² and the height of the pyramid is 6.4 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Rounded it is 11.7 cubic cm.
The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year and in 2006, the average annual salary was $82,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)? (1 point) f(x) = 70(1.17)x f(x) = 82(1.17)x f(x) = 70(2.2)x f(x) = 82(2.2)x
Answer:
question is too tough but it is very interesting
1 year = 365 days2 year = ? ( 70000 + 82000) we will add 2005 and 2006 salary because we have to find the total salaryx = 152000Answer:
i tink d
Step-by-step explanation:
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ 17,500
Step-by-step explanation:
To solve this problem, we will follow the steps below:
let x be the cost of the next year's model
Writing the question in a mathematical format yield
$14,000 ≤ 80% of x
This implies ;
80% of x ≥$14,000
80% × x ≥$14,000
[tex]\frac{80X}{100}[/tex] ≥ $14,000
multiply both-side of the inequality by 100
[tex]\frac{80X}{100}[/tex] × 100 ≥ $14,000 × 100
at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x
80x ≥ $1,400,000
Divide both-side of the equation by 80
80x /80 ≥ $1,400,000/80
x ≥ 17,500
After taking 9 tests, Carol's average grade in her
Italian class is 90. Her teacher drops the lowest of
the 9 test scores to determine the final grade. If
Carol's final grade is 91, what was her lowest test
score?
Answer:
82
Step-by-step explanation:
Given
Average in 9 tests = 90
Average when lowest score is removed = 91
Required
Find the lowest test score
Average or Mean is calculated as thus;
[tex]Average = \frac{\sum x}n[/tex]
Where [tex]\sum x[/tex] is the sum of test scores
n = number of tests
----------------------------------------------------------------------------------------------------
When the smallest scores is removed; n = 9 - 1 = 8 and average = 91
[tex]Average = \frac{\sum x}n[/tex] becomes
[tex]91 = \frac{\sum x}8[/tex]
Multiply both sides by 8
[tex]8 * 91 = \frac{\sum x}8 * 8[/tex]
[tex]8 * 91 = \sum x[/tex]
[tex]728 = \sum x[/tex]
This means that Carol's test score in 8 subjects is 728
--------------------------------------------------------------------------------------------
Considering all 9 subjects
Let the 9th subject represent the subject Carol had the least score
n = 9
Average = 90
[tex]\sum x[/tex] = 728 + the 9th subject
[tex]Average = \frac{\sum x}n[/tex] becomes
[tex]90 = \frac{728\ +\ 9th\ subject}{9}[/tex]
Multiply both sides by 9
[tex]9 * 90 = \frac{728\ +\ 9th\ subject}{9} * 9[/tex]
[tex]9 * 90 = 728\ +\ 9th\ subject[/tex]
[tex]810 = 728\ +\ 9th\ subject[/tex]
Subtract 728 from both sides
[tex]810 - 728 = 728\ - 728\ +\ 9th\ subject[/tex]
[tex]82 = 9th\ subject[/tex]
Hence, Carol lowest test score was 82
Find the y-intercept of the rational function.
Answer:
(0, -2)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. As shown in the graph, when x = 0, y = -2, so your answer is (0, -2).
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
What is the quotient of 6/7 divided by 3/14
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).
helpppppppppp plsssssss
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
Does someone know this it’s kind of confusing thanks!
Answer:
69.12
Step-by-step explanation:
i used a calculator and the formula
The speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. Which conclusion does this information best support?
A. 84% of the molecules have speeds between 450 meters/second and 550 meters/second.
B. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.
C. 50% of the molecules have speeds between 450 meters/second and 550 meters/second.
D. 34% of the molecules have speeds greater than 550 meters/second.
Answer:
a
Step-by-step explanation:
Answer:
B. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.
Step-by-step explanation:
Since there is a standard deviation of 50 meters per second, and the mean speed is 500 meters per second, the speeds would range between 500 - 50 meters per second and 500 + 50 meters per second, which would be a range of 450 to 550 meters per second.
If you remember the Empirical Rule (68-95-99), things that are one standard deviation from the mean are within 68% of the data. Two standard deviations would include 95% of the data. Three standard deviations would include 99% of the data. Since this question just covers one standard deviation, 68% of the molecules have speeds between 450 meters per second and 550 meters per second.
Hope this helps!
Find the area of a rectangle whose side lengths are 4x² and 6x²– 3x.
A. 24x⁶– 12x²
B. 24x⁴ - 3x
C. 24x⁴ - 12x³
D. 20x³- 6x²
Answer:
c
Step-by-step explanation:
4x^2(6x^2-3x)
=24x^4-12x^3
Answer: C. 24x⁴ - 12x³
Step-by-step explanation:
The area of a rectangle is length × width.
4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.
4x² × 6x² = 24x⁴ (4 × 6 = 24 and x² × x² = x⁴)
4x² × -3x = -12x³ (4 × -3 = -12 and x² × x = x³)
So the answer is 24x⁴ - 12x³
Help help please....Thanks
Answer:
Turkey - No
Brazillian - 8160 g and Kenyan - 2040
Step-by-step explanation:
45 Min x 4.4 kg = 198 Minutes
198 Min + 65 Min = 263 Min or 4.38 Hours
------------------------------------
120 cups x Total Grams needed ( 85 g ) = 10200
10200 / 5 as this is a 4 : 1 ratio = 2040
2040 x 4 = 8160
2040 x 1 = 2040
7. If the length of the side of a table is 3 more than twice its width, what is the expression
of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work
Answer:
Step-by-step explanation:
Width =w
Length = 2w + 3
Perimeter = 2*(length +width)
= 2*(2w +3 + w )
= 2*(3w + 3)
= 6w + 6
b) Perimeter = 30 units
6w + 6 = 30
Subtract 6 form both sides
6w = 30- 6
6w = 24
Divide both sides by 6
6w/6 = 24/6
w = 4
l = 2w + 3
= 2*4 + 3
= 8 + 3
= 11
Length = 11 units
Width = 4 units
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1
Answer:
x^2 - 10 = (p - 9)(x)
Step-by-step explanation:
Please indicate exponentiation with the symbol " ^ ": p(x) = x^2 - 1.
To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:
(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? Explain. A. 50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50 B. 60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60 C. 70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70 D. 100; 9% ≈ 10% and 578 should be rounded up to 1,000; 10% of 1,000 = 100
Answer:
A. 50
Step-by-step explanation:
Simply multiply 9% and 578 to get your answer:
578(0.09) = 52.02
Find the missing side. Round to
the nearest tenth.
10
33°
X
Answer:
x = 15.4
Step-by-step explanation:
Tan 33 = [tex]\frac{opposite }{adjacent}[/tex]
Where opposite = 10, adjacent = x
=> 0.649 = 10/x
=> x = 10/0.649
=> x = 15.4
[tex]\frac{y-95}{4} = 1[/tex]
y = _____
maths question pls answer
Answer:
81
Step-by-step explanation:
We need to know the sides of the square so 36÷4=9
Area of a square = Side x side
Area of square = 9x9=81
Answer:
81cm²
Step-by-step explanation:
Formula for area of a square with given perimeter: [tex]A=\frac{1}{16}P^2[/tex]
We are given the perimeter of 36 cm.
[tex]A=\frac{1}{16}36^2\\\\ A=\frac{1}{16}1296\\\\A=81[/tex]
The area should be 81cm².