how many solutions does 4x-20= -2 (-2x + 10) have
Answer:
It only has one solution.
Step-by-step explanation:
4x-20= -2 (-2x + 10)
Add 20 to both sides
4x-20+20=4x-20+20
simplify:
4x=4x
Subtract 4x from both sides
4x-4x=4x-4
Simplify:
0=0
4(x-3)=20
GUYSS I NEED HELP
Step-by-step explanation:
simplify the bracket
4x-12=20
4x=20+12
4x=32
X=8
How many pounds are in 6 tons, 200 pounds
Answer:
there are 12000 pounds in 6 tons
There are 12,200 pounds in 6 tons, 200 pounds .
To convert tons to pounds, we need to multiply the number of tons by the conversion factor of 2,000 pounds per ton .
A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds .
Given that there are 6 tons and 200 pounds, we can calculate the total weight in pounds as follows :
6 tons * 2,000 pounds/ton + 200 pounds = 12,000 pounds + 200 pounds = 12,200 pounds .
Therefore, there are 12,200 pounds in 6 tons, 200 pounds .
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Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
height (h)=
radius (r)=
Answer:
So, The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
Step-by-step explanation:
P.S - The exact ques is -
As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
As given,
V = [tex]9\pi[/tex]
⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]
So,
The possible values of h and r are
1. r = 3 , h = 3
2. r = 1, h = 27
3. r = 2, h = 6.75
In Case I-
When r = 3, h = 3
(3)² ×3 = 9×3 = 27
Satisfied
Case II-
r = 1, h = 27
(1)²×27 = 1×27 = 27
Satisfied
Case III-
r = 2, h = 6.75
(2)²×6.75 = 4×6.75 = 27
Satisfied
If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
What is the volume of the cone?The volume of the cone is the volume occupied by the cone. It is given by the formula,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]
where r is the radius of the base, and h is the height of the cone.
Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,
[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]
Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.
Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,
[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]
Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.
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Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?
Answer:
hello
Step-by-step explanation:
who do you solve this?
Answer:18
Step-by-step explanation: the other side is 20 and there the same length so y is 18 because 18+2=20
the question is in the photo
Answer:
d is vertical so its 70 b c and a combined is also vertical to e so we have 110
Step-by-step explanation:
6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Answer:
452.448in² options D
Step-by-step explanation:
A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?
Given data
D=24 inches
Radius =d/2= 24/2= 12 inches
Area A
A=πr²
Substitute
A=3.142*12²
A=3.142*144
A=452.448in²
Convert 2.1 A to nanometers
I'm confused, please help. :/
uh i did this wrong so uh just ignore what i said
Answer:
82°
Step-by-step explanation:
Angle C and B equal the measure of angle A so,
143 - 61 = 82
Angle B is 82°
Can somebody tell me which one it is? options are (BE, CF, DG, GF)
Answer:
CF
Step-by-step explanation:
Mark as brainliest please
Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!
Part 1) Finding the inverse
Let x = r and y = H(r)
We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01
From here, swap x and y to get the equation x = 6240(1+0.01y)^t
Let's solve for y
x = 6240(1+0.01y)^t
6240(1+0.01y)^t = x
(1+0.01y)^t = x/6240
1+0.01y = (x/6240)^(1/t)
0.01y = (x/6240)^(1/t)-1
100*0.01y = 100*((x/6240)^(1/t)-1)
y = 100*((x/6240)^(1/t)-1)
y = 100*(x/6240)^(1/t) - 100
This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.
We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.
So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.
The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.
===========================================================
Part 2) Finding the growth rate if the number of households is 7800 after 3 years.
We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)
r(H) = 100*(H/6240)^(1/t) - 100
r(7800) = 100*(7800/6240)^(1/3) - 100
r(7800) = 7.72173450159419
You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72
Since r = 7.72, this means the growth rate is 7.72%
solve both problems please
Please look at picture and answer the simplifying part
Answer:
3/10
Step-by-step explanation:
it is completely simplified already
Find the length of C
HELP ASAP PLZ
Answer:
c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)
20. Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6)
Parallel
Perpendicular
Neither
Please help fast must be turned in in 3 hours!
Answer:
Parallel
Step-by-step explanation:
QR and ST both parallel to y axis.
The lines are parallel each other. Therefore, option A is the correct answer.
The given coordinate points are Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6).
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
After plotting the given points on the graph, we can see that the lines are parallel to each other.
The lines are parallel each other. Therefore, option A is the correct answer.
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MARKING BRAINLIESTPLZZ HELP ME W MY MATH
Answer:
As BVC is similar to RJC
from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12
Y=12
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
After 14 years, I shall be three times as old as I was 4 years ago. What is my present age?
Answer:
Present age = 13 years
Step-by-step explanation:
Let the present age be x years.
14 years after age = (x + 14) years
4 years ago age = (x - 4)
According to the given information:
14 years after age = 3 times 4 years ago age
x + 14 = 3(x - 4)
x + 14 = 3x - 12
14 + 12 = 3x - x
26 = 2x
x = 26/2
x = 13 years
Thus, the present age is 13 years
please help!!!!! 15 points!!!!
Answer:
the answer is B
Step-by-step explanation: hope this helps :)
Which set of ordered pairs (x, y) could represent a linear function?
A = {(0,-5), (3,-2), (6,0), (9,3)}
B = {(-7,5), (-5,4), (1,1), (5, -1)}
C = {(-7,-4), (0, -1), (4,1), (6,2)}
D = {(-2,3), (0,2), (2,0), (4, -2)}
which on is the right answer?
Answer:
A.
Step-by-step explanation:
Graphed them
i hope this helps :)
What is the temperature, in degrees Fahrenheit, shown on the thermometer above to the nearest integer?
Respond in the space provided.
Answer: 21
Step-by-step explanation:
Formula
(21.2°F − 32) × 5/9 = -6°C
The balance on Matthew’s gift card is $228. His card was debited by $178 from purchasing several items. What is the remaining balance on his card?
Answer:
50 dollars
Step-by-step explanation:
228-178=50
Solve for x. If anybody can, can someone help me out with this one? Thank you!!
Answer:
x=3
Step-by-step explanation:
please help i’m sorry!!! 15 points again!
Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
Which relation is a function?
{(5, 0), (–8, –5), (–8, 5), (–5, –8)}
{(5, 0), (0, 5), (–5, –5)}
{(5, 0), (0, –8), (5, –5)}
{5, 0, –8, –5}
Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent
Answer:
24.53
Step-by-step explanation:
9% of 22.50 = 2.03
22.50 + 2.03 = 24.53
Answer:
24.53
Step-by-step explanation:
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.
Answer:
300 bags of dog food
Step-by-step explanation:
4b + 2b + b + b = 600
(dog) + (cat) + (bird) + (hamster) = 600
8b = 600
b = 75
Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.
The stock of Company A lost $1.18 throughout the day and ended at a value of
$28.32. By what percentage did the stock decline?
Answer:
the percentage did the stock decline is 4%
Step-by-step explanation:
The computation of the percentage did the stock decline as follows:
= Lost value ÷ original price
= $1.18 ÷ ($1.18 + $28.32)
= $1.18 ÷ $29.50
= 4% decline
Hence, the percentage did the stock decline is 4%
Which angles are supplementary to 1 ( Select all that apply)?
Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.
What is a transvarsal line?A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.
We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.
∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.
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