Answer:
x > 7/3 or x < -11/3
Step-by-step explanation:
|3x + 2| > 9
There are two solutions, one positive and one negative, remembering to flip the inequality when taking the negative solutions
3x+2 > 9 or 3x+2 < -9
Subtract 2
3x+2-2 >9-2 or 3x+2-2 < -9-2
3x >7 3x>-11
Divide by 3
3x/3 > 7/3 3x/3 < -11/3
x > 7/3 or x < -11/3
You went to the school store and bought a soda for $2.00 and a candy bar for $1.25. How much was your total?
Answer:
$3.25
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
*PLEASE ANSWER THANK YOU* A toy rocket is a composite of a cylindrical body with a cone for a nose. Find the volume of the rocket if the radius of the base is 1.25 inches, the height of the tip is 3 inches, and the height of the entire rocket is 15 inches. a.) 176.6 in3 b.) 56.3 in3 c.) 58.9 in3 d.) 63.8 in3
Answer:
Volume of toy = 63.8 in² (Approx)
Step-by-step explanation:
Given:
Height of cone (h) = 3 in
Height of cylinder (H) = 15 - 3 = 12 in
Radius (r) = 1.25
Find:
Volume of toy
Computation:
Volume of cylinder = πr²H
Volume of cylinder = (22/7)(1.25)(1.25)(12)
Volume of cylinder = 58.92 in²
Volume of cone = (1/3)πr²h
Volume of cone = (1/3)(22/7)(1.25)(1.25)(3)
Volume of cone = 4.91 in²
Volume of toy = Volume of cylinder + Volume of cone
Volume of toy = 58.92 in² + 4.91 in²
Volume of toy = 63.8 in² (Approx)
select all the are equal to 6^4(6^-5)
a. 1\6^-1
b. 1/6
c. 6^-1
d. 1/6^1
e. 1/-6
Answer:
b. 1/6
c. 6^-1
d. 1/6^1
Step-by-step explanation:
Calculation:
6^4(6^-5) = 6^(4-5) = 6^-1 = 1/6Correct options:
b. 1/6c. 6^-1d. 1/6^1A submarine was situated 760 feet below sea level. If it goes 320 feet up and then down 80 feet, what is the submarines new position?
Answer: -760+320-80=-520 (feet below sea level)
Step-by-step explanation: The submarine is 760 feet below sea level making the number negative. Then it says if it goes up 320 feet and then down 80 feet, your going to add 320 feet but then subtract 80 feet to get your position
what the prime factorization on 75?
Answer:
3*5^2
Step-by-step explanation:
75 is divisible by 3
75/3 = 25
25 is not divisible by 3, but it is divisible by 5.
25 = 5^2.
25/25 = 1. We are done.
Brainlest to first correct answer1. Which of the following satisfy the requirements of a set? Explain why the
requirements are or are not met.
(a) All the current U.S. Senators from Texas
(b) All the prime divisors of 1987
(c) All the tall people in Mexico
(d) All the prime numbers between 8 and 10
Answer: The sets are:
b and d.
Step-by-step explanation:
A set is a collection of distinct objects, a set must be well defined, and it can contain numbers, people, objects, etc. (sets can contain infinite elements, for example, the set of the real numbers has infinite elements)
A) The current U.S senators from Texas.
Ok, the "current U.S senators from Texas" depend on when this is read. For example, the senators of today will not be the same as the senators in 10 years from now.
So the elements of this set today are not the same as the ones in 10 years, then this is not a well defined set.
A weel defined set in this case, would be:
"The U.S senators from Texas for the year 2020"
So this is a set of numbers, we know that 1987 is a prime number, so the only prime number that divides 1987 is 1987.
Then this set is {1987}
is well defined.
c) All the people in Mexico.
A person is well defined.
So when i say "all the people in Mexico has for now" we can find all those "elements" and make a set with them.
But the people in Mexico change, so the elements of this set actually depend on when this is read, so this is not well defined.
D) Al the prime numbers between 8 and 10.
Well, we do not have any prime number between 8 and 10, so this is an empty set:
{∅}
Prove the identity
[tex] \frac{1 + \cos(x) + \cos(2x) }{ \sin(x) + \sin(2x) } = \cot(x) [/tex]
HOPE IT HELPS !!!
Brainliest please
If a scuba diver is 20 feet under the surface of the water and ascends 8 feet, what is the scuba diver's new location?
Answer:
12ft
Step-by-step explanation:
Because 20-8=12...
Answer:
They are -12 ft or 12 ft below the surface of the water
Step-by-step explanation:
20 feet under the surface of the water
-20
ascends 8 feet
+8
-20+8 = -12
They are -12 ft or 12 ft below the surface of the water
Hank and Lynn are both paying off car loans. • Hank paid $2,000 upfront when he bought his car, and he pays $200 each month. • Lynn did not pay any money upfront when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportionally for both Hank's and Lynn's loans?
Answer:
the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.
Step-by-step explanation:
The relationship between the number of months and the total cost paid proportionally is shown below:-
Both Hank and Lynn pay off car loans.
When Hank bought his car, he paid $2,000 in advance, and he needs to pay $200 each month.
Thus, forward to x months the total cost paid (C(h)) is
C(h) = 2000 + 200x ... (i)
So, that relationship is proportional, but not proportional directly.
When Lynn purchased her vehicle, she didn't pay any cash immediately front and she needs to pay $275 every month.
So, after x months the total amount paid (C(l)) is
C(l) = 275x ..... (ii)
This is, therefore, a direct proportionality that is also proportional.
Furthermore the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.
Answer: The relationship between the number of months and the total amount paid for both Hank and Lynn's loans is proportional.
Step-by-step explanation:
A wheelchair ramp is 4.2 meters long. it rises up 7.0 meters. what is the angle of elevation to the nearest tenth of a degree?
=======================================
Work Shown:
I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).
See diagram below.
The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.
sin(angle) = opposite/hypotenuse
sin(theta) = 4.2/7
sin(theta) = 0.6
theta = arcsin(0.6)
theta = 36.869897645844
theta = 36.9
Note: inverse sine or [tex]\sin^{-1}[/tex] is the same as arcsine. Make sure your calculator is in degree mode.
12x - 15=6 - 3x
what value of x makes this equation true
Answer:
1.4
Step-by-step explanation:
12x - 15 = 6 -3x
12x +3x = 6 +15
15x = 21
x = 1.4
Is 29 prime or composite
Answer:
29 is a prime number.
Step-by-step explanation:
"When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc."
All of the following are rational except _____. - 3.14159... 0
Answer:
All of the following are rational except 3.14159...
Step-by-step explanation:
Following are the solution to the rational except:
Given:
Please find the question:
To find:
rational except
Solution:
In this question the rational except _____. 0, - 2/5, 0.125, 3.14159...since, the 3.14 is irrational number.
Learn more:
brainly.com/question/20996516
The sides of a rectangle are 8cm and 6cm. What is the length of the diagonal. 12cm 10cm 9cm 7cm
Answer:
10 cm
Step-by-step explanation:
The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d
Using Pythagoras' identity in one of the right triangles, then
d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )
d = [tex]\sqrt{100}[/tex] = 10 cm
Answer:
[tex]\huge\boxed{c = 10\ cm}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of diagonal, a and b are the length of the rest 2 sides
=> [tex]c^2 = 8^2+6^2[/tex]
=> [tex]c^2 = 64 + 26[/tex]
=> [tex]c^2 = 100[/tex]
Taking sqrt on both sides
=> c = 10 cm
What is the equation of a vertical line passing through point (3,6)
Answer:
Brainliest!
Step-by-step explanation:
vertical lines is like
|
|
|
so its (3,6)
x=3
Answer:
its really easy the answer is (3,6)
A number K is such that when it is divided by 27,30 or 45,the remainder is 3.
Find the smallest possible value of k.
Solution :-
First of all we have to find out the least common multiple of the given three numbers.
27 , 30 and 45
27 = 3 x 3 x 3
30 = 2 x 3 x 5
45 = 3 x 3 x 5
Form these factors we have to find the numbers which are common in all the three .
LCM = 2 x 3 x 3 x 3 x 5 = 270 .
Now 270 is completely divisible but the number which we want leaves 3 as remainder.
So adding 3 in 270 .
→ 273 is the required answer.
e
Which is one piece of information that "9" gives about
an atom of fluorine?
The atomic mass is different than the atomic number,
and the number of neutrons is the difference between
the atomic mass and the atomic number.
O the atomic number
O the atomic mass
o the hiass of protons
o the number of neutrons
Answer: The information in that "9" is the atomic number of the atom.
Step-by-step explanation:
For an atom of fluorine we have:
A = atomic weight = 18.99 amu.
Z = atomic number = 9.
(A - Z) = number of netrons = 10.
Then the "9" in the information of the atom of fluorine gives information about the atomic number.
Answer:
the atomic number
Step-by-step explanation:
Which answer is equal to
792
-i
1
2
3
Answer:
-i
Step-by-step explanation:
[tex]i^{79}\\ i^{76+3}\\ i^{3}\\-i[/tex]
For the function f ( x ) = − 2 x + 3 , evaluate and simplify the difference quotient.
Answer:
fraction x-3/2 is your answer for Sure
Step-by-step explanation:
y=-2x+3
x=2y+3
x-3=2y
x-3/2=y
Let me know if you can answer these :)
Answer:
10. 285
11. [tex]6\frac{3}{4}[/tex]
16.a. Stiles Family
Reason-The Styles family uses twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.
16.b. Mendelez family
Reason-The Mendelez family uses the least amount of water, because the water usage per person (which is =875 gallons) is much lower than the other two.
Step-by-step explanation:
10. In 6 mins, no. of machine parts produced = 114
in 1 min, no. of machine parts produced = 114/6
in 15 min, no. of machine parts produces [tex]\frac{114 *15}{6}\\=285[/tex]
---------------------------------------------------------------------------------------------------------
11. To make 8 jumbo muffins take, amount of baking powder used = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]
To make 1 jumbo muffin, amount of baking powder used = [tex]\frac{3}{2} / 8[/tex] =3/16
To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used = 36 *3/16
[tex]=\frac{27}{4}[/tex] =[tex]6\frac{3}{4}[/tex]
-------------------------------------------------------------------------------------------------------------
16. a. Electricity consumed by 1 person in the Mendelez family :
=1560/4
=390 KWh
Electricity consumed by 1 person in the Barton family:
=2130/6
=355 KWh
Electricity consumed by 1 person in the Styles Family:
=1490/2
=745 KWh
The Styles family uses twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.
------------------------------------------------------------------------------------------------------------
16.b. Water consumed by 1 person in the Mendelez family = 3500/4=875 gallons
Water consumed by 1 person in the Barton family = 6400/6=1050 gallons
Water consumed by 1 person in the Styles family =2500/2=1250 gallons
Help!!!!!!!!!!!!!!!!!
Pls help me find the answer...
Answer:
m∠ABC = 30°Step-by-step explanation:
m∠BAD = 0.5m∠BCD = 0.5•126° = 63°
The angles in quadriteral add to 360°, so:
m∠ABC + m∠BAC + m∠ACD + reflex m∠BCD = 360°
m∠ABC + 63° + 33° + (360° - 126°) = 360°
m∠ABC + 96° - 126° = 0
m∠ABC = 30°
Given the relation in the table, what is the product of h(3) and h(5)?
Answer:
3Step-by-step explanation:
h(3) = 1
h(5) = 3
Their products :
[tex]3 \times 1 \\ = 3[/tex]
Easy points. 52 x 7?
Answer:
364
Step-by-step explanation:
2✖️7=14
5✖️7=35
because 14 is two digits, you move the one and plus it to 35 which makes 36.
Leave the 4, and it becomes 364.
Answer:
[tex]\Huge \boxed{364}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
52 × 7
52 = 50 + 2
50 × 7 = 350
2 × 7 = 14
Adding 350 and 14,
350 + 14 = 364
[tex]\rule[225]{225}{2}[/tex]
A school choir needs to make T Shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on shirts. Which equation represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order. D = 3T + 50C D = 3(75) + 50C D = 3(75) + 50 D= 3(75)
Answer:
D = 3(75) + 30CStep-by-step explanation:
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
If the printing company charges $50 fee for each color to be printed on shirts, then the total number of colours on the short will cost $30C.... 2
where C is the total amount of colours on all the shirts.
The equation that will represents the relationship between the number of T-shirts orders, the number of colors on shirts and the total cost of the order will be gotten by taking the sum of equation 1 and 2.
The equation needed will be 3(75) + 30C where C is the total amount of colours on all the shirts ordered.
The current value of a baseball card is 60 times its original value v (in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card. Equation: =15 Original value: $
Answer:
0.25
Step-by-step explanation:
From the information given, you can say that the current value of a baseball card is equal to 60 multiplied for its original value and the equation is:
c=60v, where: c is current value and v is original value
Now, you can replace the current value with 15 that is the value of the baseball card and solve for v:
15=60v
v=15/60=0.25
According to this, the original value of the baseball card is 0.25.
soup ordinarily priced at 2 cans for 33 cents may be purchased in lots of one dozen for 1.74.What is the savings per can when it s purchased this way?
Answer:
2 cents per can
Step-by-step explanation:
The price per can when you buy two cans is:
0.33/2 = $0.165, or 16.5 cents per can
When purchased in a lot of one dozen, the price per can is:
1.74/12 = $0.145, or 14.5 cents per can
So the savings per can when you buy a dozen is:
0.165 - 0.145 = $0.02, or 2 cents per can
Answer:
You save 2 cents per can. $0.02
Step-by-step explanation:
Since one dozen = 12, you need to figure out what 12 can would regularly cost. So multiply the 33 cents by 6 (since 2 x 6 =12).
33 x 6 = 198
Add the decimal and it's $1.98. now subtract $1.74 from $1.98.
1.98 - 1.74 = 0.24
This is the saving for 12 cans, but you want the savings for one can. So you would divide 0.24 by 12.
0.24/12 = 0.02
So you save 2 cents per can.
please solve this que
Answer:
x=5
Step-by-step explanation:
you need to do dirty math stuff for these kind of Q. not hard you just need to do it, or use computer graphs to solve them.
does a rectangle exist with the given dimensions if y=2 explain pleaseeeeeeeee
Answer:
there is not enough information this question makes no sense if you can give me more info in the comments i can edit my answer
Step-by-step explanation:
y= 2x + 5 what is the linear function of this?