Answer:
Step-by-step explanation:
Factor out to simplify:
15d+105=4d-16+11d
15d+105=15d-16
subtract 15d from both sides
105=-16
this means that there are no solutions for d
A television is on sale for 20% off. If the sale price is $399, what was the original price?
A. $319.20
B.$1,995
C. $498.75
D. $379.00
Answer:
[tex]\$498.75[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the original price of the item. We can set up the following equation:
[tex]x\cdot (1-0.2)=399[/tex].
Solving for [tex]x[/tex], we get:
[tex]x\cdot 0.8=399,\\x=\frac{399}{0.8},\\x=\fbox{$\$498.75$}[/tex].
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?
Answer: 4.5 cups
Step-by-step explanation:
2:10
4:20
half of a cup would be 5 pancakes
so, 4.5 cups of flour will make 25 pancakes.
The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?
Hey there!
The length of the hypotenuse is about 11 centimeters.
To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:
[tex]5^2 + 10^2 = c^2[/tex]
Now we get the squares of 5 and 10:
[tex]25 + 100 = c^2[/tex]
Add 25 and 100:
[tex]125 = c^2[/tex]
Take the square root from both sides:
[tex]11.18033... = c[/tex]
The length of the hypotenuse is about 11 centimeters.
Hope it helps and have an amazing day!
The length of Hypotenuse = 11.18 cm
What is Pythagoras Theorem?In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
Given,
In right angle ΔABC
AB = 5 cm
BC = 10 cm
AC = ?
By the Pythagoras theorem,
AC² = AB² + BC²
AC² = 5² + 10²
AC² = 25 + 125
AC = √125 = 11.18
Hence, 11.18 cm is the length of Hypotenuse AC .
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
most of the time we ____ energy but it is everywhere around us
Answer:
waste
Step-by-step explanation:
Try to think of something that doesn't involve energy and you won't get very far. Even thinking—even thinking about energy!—needs some energy to make it happen. In fact, everything that happens in the world uses energy of one kind or another. But what exactly is energy?
Energy is a bit of a mystery. Most of the time we can't see it, yet it is everywhere around us. Revving car engines burn energy, hot cups of coffee hold energy, street lights that shine at night are using energy, sleeping dogs are using energy too—absolutely everything you can think of is using energy in one way or another. Energy is a magical thing that makes other things happen. Everything in the world is either energy or matter ("stuff" around us) and even matter, when you really get down to it, is a kind of energy!
If CE = 3x - 10 and EA = 2x + 1, then CA=
Answer:
46
Step-by-step explanation:
First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.
It should look like this:
3x - 10 = 2x + 1
Now you just need to solve it.
1) First you add 10 on both sides.
3x - 10 = 2x + 1
+ 10 = + 10
------------------------
3x = 2x + 11
2) Then you subtract 2x on both sides.
3x = 2x + 11
- 2x =- 2x + 11
-------------------------
x = 11
3) Now you plug in 11 for x.
3x - 10 = 2x + 1
Like this:
3(11) - 10 = 2(11) + 1
33 - 10 = 22 + 1
23 =23
So C to E and E to A = 23
To get from C to A just add 23 + 23 which is 46. And that is ur answer.
Answer:
it is 46
Step-by-step explanation:
First you need to solve.. So put 3x - 10 and 2x + 1 together as one equation.
It should look like this:
3x - 10 = 2x + 1
Now you just need to solve it.
1) First you add 10 on both sides.
3x - 10 = 2x + 1
+ 10 = + 10
------------------------
3x = 2x + 11
2) Then you subtract 2x on both sides.
3x = 2x + 11
- 2x =- 2x + 11
-------------------------
x = 11
3) Now you plug in 11 for x.
3x - 10 = 2x + 1
Like this:
3(11) - 10 = 2(11) + 1
33 - 10 = 22 + 1
23 =23
So C to E and E to A = 23
To get from C to A just add 23 + 23 which is 46. And that is ur answer.
you can slove this in this way if want more explansion ask me
what is the slope of the line represented by the equation?
Answer:
It is 4/5
Step-by-step explanation:
hope it helps ^^
The volume of a cylinder is found using the formulaV = pi r^2. If the height is doubled, then the volume is:
increased by 2
increased by 4
two times larger
4 times larger
Answer:
the volume will be doubled if the height is doubled
hope it helps you
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
Step-by-step explanation:
Given that,
The side of a square field = 70 m
The dimensions of a rectangular field with length 90m and breadth 60m.
The distance covered by the person on square field is given by :
P = 4×side
= 4×70
= 140 m
The distance covered by the person on a rectangular field is given by :
P = 2(l+b)
= 2(90+60)
= 2×150
= 300 m
Hence, a person will cover more distance in the rectangular field.
The lowest point in Death Valley is Badwater at 282 feet below sea level. The highest point in
the surrounding mountains is Telescope Peak at 11,043 feet above sea level. How many feet
higher is Telescope Peak than Badwater?
Answer:
Step-by-step explanation:
Given
[tex]Badwater = -282ft[/tex]
[tex]Telescope\ Peak = 11043ft[/tex]
The position of badwater is negated because it is below sea level
The interpretation of the question, is to calculate the distance between the two given points.
This is calculated as:
[tex]Difference = Telescope\ Peak - Badwater[/tex]
[tex]Difference = 11043ft - (-282ft)[/tex]
Open bracket
[tex]Difference = 11043ft+282ft[/tex]
[tex]Difference = 11325ft[/tex]
Hence, the distance between both is 11325ft
James throw a ball from the root of a building. The ball fell 3 feet in the first second, 9 feet in the next second, and 27 feet in the third second. Which expression represents the distance the ball fell at the nth second?
3: Find the slope:
(2, -6), (-4,-3)
Answer:
-(1/2)
Step-by-step explanation:
Slope is the Rise/Run
Going from left to right for (2, -6), (-4,-3):
Rise = (-3 - (-6)) = 3
Run = (-4, -2) = -6
Slope = Rise/Run = 3/-6 = -(1/2)
Elizabeth practices the piano 1470 minutes in 5 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
Using proportions, it is found that the proportional equation for t in terms of d that matches the context is:
[tex]t = 42d[/tex]
Elizabeth practices the piano 1470 minutes in 5 weeks, hence, each day, consdering a week has 7 days, the amount of time she practices is:
[tex]a = \frac{1470}{35} = 42[/tex]
Hence, the proportional equation, considering t the time in minutes and d the number of days, is:
[tex]t = 42d[/tex]
You can learn more about proportions at https://brainly.com/question/24372153
I will give brainiest to whoever answers correctly !!
Tell which property the statement illustrates. 2+(12+r)+r
GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:
y = 2x + 3
4x + y = -3
Group of answer choices
(-1 , -1)
(-1 , 1)
(1 , 1)
(5 , 7)
Answer:
(-1,1)
Step-by-step explanation:
4x+2x+3=-3
6x+3=-3
6x=-6
x=-1
y=2(-1)+3
y=-2+3
y=1
A barrel contained 160 liters of oil that cost $51.20.
What is the cost for one liter?
Answer:
0.32 yes mhmmmhmhmhwididididurruuidididi
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
UT is shorter than WT, therefore you cannot use it on this triangle.
I am joyous to assist you at any time.
find the scale factor from DEF to ABC
Answer:
³/2 (1.5)
Step-by-step explanation:
∆DEF was enlarged to get ∆ABC. The scale factor would be:
The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.
Thus,
BC:EF = 12:8
= 12/8
= 3/2 = 1.5
Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5
You traveled 175 miles in 2.5 hours. How many miles will you travel per hour?
Work Space
Please hurry
Answer:
70 miles / hour
Step-by-step explanation:
d = 175 miles
t = 2.5 hours
r = d/t
r = 175 / 2.5
r = 70 miles / hour
Approximately 45 of U.S. homeowners have a cell phone. What percent of homeowners do not have a cell phone?
A 45%
B 20%
C 80%
D 55%
Answer:
if it's out of 100 it would be 55
Step-by-step explanation:
Answer:
D 55%
Step-by-step explanation:
I am assuming that the "45" is 45$ so then we do 100%-45$=55% But, if the "45" is 1 in 45, then the answer is 1-1/45=44/45 which rounds to 98%. That isn't any of the answers, so should be 55%
Please help with this please
Answer:
19. w * 32
20. p / 41
Step-by-step explanation:
Product is multiplication, divided by is division.
Make sure you pay attention to what the problem says, because multiplication terms can be moved around, but division has to go a certain way.
p / 41
is not the same as
41 / p
however
w * 32
is the same thing as
32 * w
Solve for x.
3x-161
7x-382
Answer:
Step-by-step explanation:
7x - 382 = 3x - 161
4x - 382 = -161
4x = 221
x = 55.25
700
630
560
490
420
nt
350
ur
280
s)
210
140
70
0
3
The value of y when x is 0
please pic the photo correct ly
The world sugar production is 97,200,000
Brazil produces 9.7% of this sugar
Work out how much sugar brazil produces
Answer: Brazil produces 9,428,400 sugar.
Step-by-step explanation:
That is the answer because 9.7% of 97,200,000 is 9,428,400.
Select the correct answer.
Which equation, when solved, gives 8 for the value of x?
7
3
O A. x += *x+14
OB. 85-9=31-12
Oct-2=2x-4
OD. 3*-7= 4x+14
Answer:
Answer:
B
Step-by-step explanation:
WILL GIVE BRAINLEST
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
William Bennett
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
do we answer all of them are just one
X^2+ 2x – 35 = 0? .............
During a sale, a 10-speed bike was
marked down from $90 to $70. What
was the percent discount?
Answer:22.2%
thank me later
Algebra 2 Please Help
Answer:
daaaaaaaaaa
Step-by-step explanation:
ssdddsss
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) 4 1 + 2x ≈ 1 + 1 2 x
Answer:
x ∈ [-0.369, 0.678]
Step-by-step explanation:
To prove - [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x
As given , f(x) = [tex]\sqrt[4]{1 + 2x}[/tex]
As we know that the linear approximation can be defined as :
L(x) = f(a) + f'(a)(x-a) .........(1)
Now,
We have to show that at a = 0 , equation (1) satisfies
Now,
f(0) = [tex]\sqrt[4]{1 + 0}[/tex] = 1
Also,
f'(x) =
[tex]\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\[/tex]
∴ we get
f'(x) = [tex]\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }[/tex]
⇒f'(0) = [tex]\frac{1}{2}[/tex]
Now, equation (1) becomes
L(x) = f(0) + f'(0)(x-0)
= 1 + [tex]\frac{1}{2}[/tex] (x)
⇒ [tex]\sqrt[4]{1 + 2x}[/tex] ≈ 1 + [tex]\frac{1}{2}[/tex] x
Hence verified.
Now,
|[tex]\sqrt[4]{1 + 2x}[/tex] - (1 + [tex]\frac{1}{2}[/tex] x ) | ≤ 0.1
⇒ -0.36893 ≤ x ≤ 0.67766
⇒x ∈ [-0.369, 0.678]