Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3
the correct answer is B
hope I helped
12x-15 distributive property
[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
Can someone help me out with this please
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
HELP ASAP!!!!!!!!! IM SO PUZZLED
what is the answer to 5+3x(5-2) ^2
Answer:
576
Step-by-step explanation:
5 + 3 = 8
5 - 2 = 3
8 x 3 = 24
24 to the second power is 576
Answer:
27x+5
Step-by-step explanation:
5+3x(5-2)^2
5+3x(3)^2
5+3x*9
5+27x
27x+5
8x -2 + (4x - 1)(4x+1) = 0
Answer:
8x - 1 + 16x²
Step-by-step explanation:
8x - 2 + (4x - 1)(4x+1) = 0
=> 8x - 2 + 16x² + 4x - 4x - 1
=> 8x - 2 + 16x² - 1
=> 8x - 1 + 16x²
Therefore, 8x - 1 + 16x² is our answer
Calibri
11 -
BI USA
f* Average Annual Weather Statistics
B
с
Average Annual Weather Statistics
D
E
F
G
H
J
K
L
M
N
1
2
3
Atlanta
1050
Average
1616.833333
4
5
89
Boston Dallas Orlando Phoenix SanteFe Total
20 430 91 1110 7000
69 96 82 86 70
44 37 62 59 43
42.53 21.32 47.7 7.3 14
41
6
0
0 32
Altitude
High Temp
Low Temp
Rain (in.)
Snow (in.)
6
7
33.5
50.19
0
8
9
10
11
12
13
14
15
16
17
Alt. Diff. ->
Atlanta & Dallas
Alt. Diff. Answer Here ->
18
19
20
21
Answer: were you born yesterday
Step-by-step explanation:
Find the value of x in the equation below. 5.4=2x
Answer:
x = 2.7
Step-by-step explanation:
5.4 = 2x
2x = 5.4
Divide both sides by 2.
x = 2.7
Answer: x= 2.7
1. Divide 2 on both sides
2. cancel terms who have the same numerator and denominator
PLEASE HELP! DUE IN 2 HOURS!! GEOMETRY PLEASE
Answer:
side lengths are 96 for HI and PQ and 64 for IJ and RQ
hypothenuse is 115
Step-by-step explanation:
delta HIJ = delta PQR
HI = PQ --> 3x = x + 64
divide both sides by x --> 3 = x/x + 64/x *x/x = 1
3 = 1 + 64/x subtract both sides by 1
2 = 64/x --> 2x = 64 divide both sides by 2
x = 32
IJ = RQ --> x + 32 = 2x
divide both sides by x
1 + 32/x = 2 (again, x/x = 1)
subtract both sides by 1
32/x = 1
x = 32
plug in 32 for x to get the side lenghts
so 3(32) = 96
and 32 + 32 = 64
use equation a^2 + b^2 = c^2
96^2 + 64^2 = c^
9216 + 4096 = c^2
13312 = c^2 square root 13312
c = 115.378
PLS SOMEONE HELP PLSSS
Answer:
x=17
Step-by-step explanation:
ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.
now we can set up the equation to find x like this:
29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)
x=17
Andrew earns $15.75 per hour at his job. If he worked 42 hours last week, how much did he earn?
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
help, please i cant do this
============================================================
Explanation:
Use the pythagorean theorem to tie together the three sides of the right triangle.
[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]
[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]
From here, we use the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]
We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.
The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95
In this case, 3 sig figs means that we're rounding to 2 decimal places.
Which of the ordered pairs is a solution to the system of inequalities?
y ≥ 3
y > x
(-3, 2)
(2, 3)
(-4, 3)
(0, 0)
Find the sum of the first 15 terms of the AP:11,5,-1,-7
Here is ur answer
- BRAINLIEST ANSWERER
Is that the correct answer for it please help me. I want to past my ecam
Answer:
No answer is be 28%
5+9+7+4=25
7/25 + .28 =28%
Step-by-step explanation:
4(2-3x)=-2x-27
help plz
Answer:
x = 7/2
x = 3.5
x = 3 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The sum of first four terms is a G.P. is 30 and that of the last four terms is 960. if its first term is 2 find the common ratio .
If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990
We also know that a = 2
sum of first 4 terms
= 2(r^4 - 1)(r-1) = 30
r^4 - 1 = 15r - 15
r^4 - 15r + 14 = 0
r = 1 works for the equation , but r = 1 would make all the terms of the
GP the same, so clearly not a solution
r^4 - 15r + 14 = 0 , a bit of trial and error ....
(r-1)(r - 2)(r^2 + 3r + 7) = 0
so r = 2 or r = not real
check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed
so r = 2 , BUT it does not work for sum(8)
sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.
check your question.
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
Which expression has a value equal to 28 divided by 4
There are 4 options.
7x4
4x28
28/4
4/28
Answer:
28/4
Step-by-step explanation:
the slash is also a division sign.
Answer:
B: 28/4 should be the correct answer, correct me if I'm wrong.
During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?
Answer:
Im soooooo hungry ughhh
Step-by-step explanation:
Hi
g(x) = 3x + 1, evaluate g(-2).
Answer:
-5
Step-by-step explanation:
g(x)= 3x+1
g(-2)
g(-2)= 3x+1
g(-2)= 3(-2)+1= -5
Ava has 98.2 ounces of tomatoes. Tomatoes cost $1.30 a pound. How much will she pay?
Answer:
$7.97
Step-by-step explanation:
98.2 Oz = 6.1375 Lbs
6.1375 Lbs times $1.30 = 7.97875
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?.
fill in the blank to make the fractions equivalent.
4/5 ?/15
Answer:
12/15
Step-by-step explanation:
times 4 by 3 because 5 is timesed by 3
None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?
Answer:
Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.A 2-lb block of cheese us cut into 8 pieces of equal mass. What is the mass of each piece? (In oz)
Answer:
4 ounces each
Step-by-step explanation:
16 ounces = 1 pound
16x2=32
32/8=4
4. Answer a through c
Answer:
Hello is this math i can help you with your answer
x³+2/3x²-2x-4/3 factorizing
Answer:
(x+2/3) (x^2 - 2)
Step-by-step explanation:
First we can seperate the problem
(x^3 + 2/3x^2) + (-2x - 4/3)
We factor x^2 out of the first parenthesis
x^2(x + 2/3) + (-2x - 4/3)
and factor -2 out of the second
x^2 (x+2/3) +-2 (x +2/3)
then we rewrite it as
(x+2/3) (x^2 -2)
-- Gage Millar, alg1/2 tutor
What is an equation of the line that passes through the point (-7, -6) and is
parallel to the line 2 - y = 7?
Answer:
[tex]y = -6[/tex]
Step-by-step explanation:
Because is a line is of the form
[tex]y = mx + b[/tex]
and its parallel to the line
[tex]2 - y &= 7\\- y &= 5\\y = -5[/tex]
So that's meaning that the slope [tex]m[/tex] is equal to 0 then the equation now is of the form
[tex]y = b[/tex]
Then if pass for the point -6 and [tex]b[/tex] is the point of cut with the [tex]y[/tex] axis then our equation of the line is equal to
[tex]y = -6[/tex]