Answer:
Dividing with negatives will result in a flip in the signs.
Step-by-step explanation:
In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.
[tex]-7y > 161\\ \\\\[/tex]
Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:
y < -23Notice the change in signs.
---------------------------
Now in the second equation, the constant (161) is negative. So if you solve this,
[tex]7y > -161[/tex]
You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:
y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!2
EXERCISE 6.4
Challenge
Use the given rules to complete the following tables.
1
2
3
4
12
Position in sequencen
Term in sequence y = 2n + 3
the position in the
Imagine that you
work for 30 days.
Which of the
following two salar
would you rather
earn? Explain your
choice.
2.
1
2
3
4
15
10
Position in sequencen
Term in sequence y = -2n - 4
3.
2
Position in sequencen
3
18
4
10
Term in sequence y = -5n - 4
1
2
3
4
11
Position in sequencen
Term in sequence y = -2n - 14
10c on the first
20c on the seca
day; 40c on the
third day; 800
the fourth day
so on, for 30 C
R100 on the f
day; R101 on
second day;
on the third
and so on, fa
days.
.
10
5.
1
2
3
4
10
Position in sequencen
Term in sequence y = n+1
6.
2
1
20
3
4
Position in sequences
Term in sequence y = 2r2
Answer:
Unit 9 Answer Key.pdf
Step-by-step explanation:
Search that up and you'll see all the answers
Please give me Brainliest and like and rate please hope this helps BYE!
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²
Find the area of the trapezoid to the nearest tenth.
Can anyone help? PLS I NEED THIS BY TOMORROW!!
Answer:5 or 5 degrees
Step-by-step explanation:
the box means 90 degree so if you divide 45 with 90 you get 2
2 divided by 10 = 5
Answer:
x = y = 10
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 10
Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then
x = y = 10
solve 6x + 6 = 3x - 6
Answer:
x = -4
I hope it's helps you t
Answer:
x = -4
Step-by-step explanation:
Simplifying
6x + 6 = 3x + -6
Reorder the terms:
6 + 6x = 3x + -6
Reorder the terms:
6 + 6x = -6 + 3x
Solving
6 + 6x = -6 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + 6x + -3x = -6 + 3x + -3x
Combine like terms: 6x + -3x = 3x
6 + 3x = -6 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + 3x = -6 + 0
6 + 3x = -6
Add '-6' to each side of the equation.
6 + -6 + 3x = -6 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = -6 + -6
3x = -6 + -6
Combine like terms: -6 + -6 = -12
3x = -12
Divide each side by '3'.
x = -4
A survey of a random sample of juniors shows that 12% are not planning to attend homecoming, and 88%
are planning to attend. The survey has a margin of error of t8%. What is the range for the percentage of juniors who are
going to homecoming?
F 4% to 20%
G 4% to 12% H 80% to 96%
J. 4% to 96%
Answer:
i would guess
Step-by-step explanation:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.
Given:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.
He spent Rs 40 on transportation.
He sold the eggs at rs 12 per pair.
To find:
The gain or loss percentage.
Solution:
The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:
[tex]12\times 50=600[/tex]
Number of eggs in 12 boxes is:
[tex]12\times 10=120[/tex]
He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:
[tex]600+40=640[/tex]
Cost of each egg is:
[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]
He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:
[tex]\dfrac{12}{2}=6[/tex]
We need to find the gain or loss percentage.
Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.
The gain percent is:
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]
[tex]Gain\%=12.5\%[/tex]
Therefore, the gain percent is 12.5%.
what goes in the highlighted box?
Answer: 11y
Step-by-step explanation:
When you add 6y and 5y that equals 11y <3
Answer:
11Y goes in the highlighted section.
Step-by-step explanation:
Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.
Then add the Ys together.
I can't really explain anymore, but i hope this helps!!!!
Then your final answer would be y=6. :)
A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.
Answer:52.1
Step-by-step explanation:
adj/hyp= x/57
cos 24=x/57
57 cos 24=x
x=52.0721= 52.1 FT
Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches
Answer:
Yes, it makes a triangle.
Step-by-step explanation:
When I used a measuring stick, it does create a triangle.
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?
PLZZZ HELP MEEEEE!!!!
Answer:
She would use the mean.
Step-by-step explanation:
Graph the line with the equation y = 1/2x+3
Answer:
(0,3) (-6,0) these will be the points
The number of boys and girls in a class are in the ratio 5:4. If the
number of boys is 9 more than the number of girls, then number of
boys is 9
Answer:
no.of boys is 45
Step-by-step explanation:
here, let the number of boys and girls be 5x and4x
ATQ,
5x=4x+9
or,5x-4x=9
or,x=9
then, the number of boys is 9×5=45
and the number of girls is 9×4=36..
– 6 (2x – 3) – 11
A: 12x 29
B:
7 12x
C:
12x 7
D:
7 12x
E: None of these
Answer:
12x + 7 is the answer
Step-by-step explanation:
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69% of the album is empty, how many pages are filled with compact discs?
Answer:
41
Step-by-step explanation:
each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.
math help pls answer
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between
Answer:
Third side lies between 10 & 22.
Step-by-step explanation:
Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.
So, letting third size be = x
Difference of two sides < Third side x < Sum of two sides
Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22
Hence, 10 < Third side x < 22
If x^2 =2” what is the value of x
Answer:
solution given:
x²=20
x=±√20 is your answer
Answer:
2
Step-by-step explanation:
[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat
Step-by-step explanation:
a^2 + b^2 = c^2
height + 6^2 = 16^2
height = 14.83
1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?
2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?
Answer:
1. 93 m is the length of the rectangular garden.
2. The width of the window is 72 cm.
Step-by-step explanation:
Find the measurement of Dae need help fast
Answer:
D = 80 degrees or (76+4) C And F are 70 i think
Step-by-step explanation:
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
908.74
Step-by-step explanation:
The formula for the volume of a cylinder is V = h * pi * r^2
h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.
So now plug it into the formula:
V = 10.5 * pi * (5.25)^2
= 908.74
Hope this helped! :)
Answer:
1211.65 cubed ft.
Step-by-step explanation:
Half sphere: V = 4/3(3.24)(5.25^3)
V = 605.82
Divide by two since we need to find the volume of the half sphere, not the full sphere.
605.82 ÷ 2 = 302.91
Cylinder: V = (3.14)(5.25^2)(10.5)
V = 908.74
Add the two volumes to each other to find the total volume of the composite figure.
908.74 + 302.91 = 1211.65
The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!
The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.
