Answer: x = -1
Remove parentheses
Calculate
Move the terms
collect like terms, calculate.
divide both sides.
Answer: x = -1
3(x + 1) = -2(x-1) - 4 (Expand by distributing)
3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)
3x + 2x = 2 - 4 - 3 (Collect like terms)
5x = -5 (Divide both sides by 5 to isolate for x)
x = -1
∴ x = -1.
An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the wreck is 4629 meters. What is the height of the plane to the nearest meter?
405 m
Answer:
The height of the plane is 405 meters
Step-by-step explanation:
Trigonometric Ratios
The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.
Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:
[tex]\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 5^\circ=\frac{H}{4629}[/tex]
We need to find H, so we solve for H:
[tex]H=4629\cdot\tan5^\circ[/tex]
H=405 m
The height of the plane is 405 meters
3) New Orleans, Louisiana, is 6 feet below sea
level. The highest point in Louisiana, Driskill
Mountain, is 541 feet higher than New Orleans.
How high is Driskill Mountain?
This is my hw lol i don’t understand it please help.
Answer:
-6+541=535
Step-by-step explanation:
CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?
Answer:
I'm Pretty Sure it is $16.20
Step-by-step explanation:
First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)
PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE
Answer:
18 hours. For 1 hour you packed 10 boxes.
Step-by-step explanation:
plz help, find missing angle.
Answer:
I don't know the answer because the picture says it's blocked I'm so sorry
Step-by-step explanation:
Neeed help like NEOW
Answer:
_17 or -10 i think its -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ha
find two possible factors for the estimated product 5,600
Answer:
If you want to find the other factor you would divide 5,600. One factor is 80 so the other factor should be 70 but if you put a dot you would get 0.07.
Step-by-step explanation:
The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
A water tank holds 648 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 864 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
The amount of water in the two tanks will be the same in ________ weeks.
Answer:
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
Step-by-step explanation:
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
Answer:
7.406
Step-by-step explanation:
It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.
7.406 is the decimal form
What is decimal in numeral system ?
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.
= (7x1)+(4x1/10)+(6x1/1000)
= 7 + 0.4 + 0.006
= 7.406
therefore , the decimal form of the expression is 7.406
Read more about decimal here:
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What number is represented by a point 6 units to the left of 5 on the number ling
shown
Answer:
-1
Step-by-step explanation:
5-6=-1
16/25 divided by 15/8
Answer:
128/375
Step-by-step explanation:
16/25 divided by 15/8
16/25 X 8/15 = 128/375
Select the correct answer.
Find the inverse of function f.
f(x) = 1/2x + 7
Answer:
f'(x)= 2x - 14
Step-by-step explanation:
change f(x) to y y = 1/2x + 7
switch x and y x = 1/2y + 7
multiply everything by 2 to cancel the denominator 2x = y + 14
solve for y 2x - 14 = y
then change y to f'(x) f'(x) = 2x - 14
Answer:
B -- f'(x)= 2x - 14
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag
Answer: Every 12th bag has both a T-shirt and socks.
Step-by-step explanation:
Given: T shirt: Every fourth bag
Socks: Every third bag
Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12
It implies every 12th bag has both a T-shirt and socks.
Hence, Every twelfth bag has both a T-shirt and socks.
3х + 2y = 2
y = 4
Substitution
Answer:
x=-2
Step-by-step explanation:
hi! let's plug in 4 for y in the equation.
3x+2(4)=2
3x+8=2
3x=-6
x=-2
Answer:
x= -2
Step-by-step explanation:
you are going to substitute 4 in for y and then solve for x.
(4x+45)
(5x-18)
Solve for x.
Answer:
Is there a certain equation?
Because my answer will probably be wrong.
Answer: x = 63Step-by-step explanation:
Let’s just say that x in both cases is the same value.
Equation:
(4x + 45) = (5x - 18)
x = 63
Answer: x = 63
Step-by-step explanation:
In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5
Write the equation in slope intercept form: 3x - 4y = 8*
Answer:
the answer is y=[tex]\frac{3}{4}[/tex]x-2
Step-by-step explanation:
The equation 3x - 4y = 8 written in slope-intercept form as y = (3/4)x - 2.
To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, to isolate y on one side of the equation.
Starting with the given equation:
3x - 4y = 8
First, let's subtract 3x from both sides of the equation to isolate the y term:
-4y = -3x + 8
Next, divide both sides of the equation by -4 to solve for y:
y = (3/4)x - 2
Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.
To know more about equation here
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Marcus invested $2000 in a bank account earning simple interest. The interest, I, he has after t years at an interest rate r is given by this equation.
l = 2000 rt
After 2 years, the total amount in the account was $2160. What was the annual interest rate?
Answer:
4%
Step-by-step explanation:
Answer:
4% hope this helps
Step-by-step explanation:
Solve for X.
3(x + 2) = 7x + 6 - 4x
Answer:
(-∞,∞)
any value makes the equation true
(its infinite)
Step-by-step explanation:
3(x + 2) = 7x + 6 - 4x
distribute
3x + 6 = 7x + 6 - 4x
combine like terms
3x + 6 = 3x + 6
move the variable to the other side
0 + 6 = 6
move the 6
0 = 0
John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.
Answer: 800 - 25w = 1400
Step-by-step explanation:
What is there to edplain??
Answer:
800+25w=1400
Step-by-step explanation:
took the test
What is the greatest common factor of 22 and 11?
Answer:
ur answer is 11 hopefully that's help
PLEASE HELP!!
WILL GIVE BRAINLIEST TO CORRECT ANSWER (STEPS INCLUDED..)
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x axis.
When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)
A( 1,4) becomes A’(1,-4)
B(3,-2) becomes B’(3,2)
C(4,2) becomes C’(4,-2)
Solve The equation mx + 3b = 25 for x *
what is the lcm of 16 and 24
Answer:
48
Step-by-step explanation:
Which activity would Descartes most likely have enjoyed in his free time? (straight up)
Answer:
Buns VI jdgsjs ssndbssbhejdjeejsgejeoe
Step-by-step explanation:
Bdnee Ded modi’s no rhenxns hi s in dndn
Answer:
Rene Descartes was a philosopher and he loved math and science. He was French.
Step-by-step explanation:
helllllpppppp pleasxee huryyyyy
Answer:
Bottom left
Step-by-step explanation:
Function: each x only has one y, and this is the only graph that fits the description
The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.
Grade Teachers Students
6 1 25
7 2 50
8 3 75
Which teacher-to-student ratio maintains the proportional relationship described in the table?
Teachers Students
5 125
Teachers Students
4 120
Teachers Students
4 100
Teachers Students
6 130
Teachers Students
7 125
Answer:
no one and i am doing time pass and
6 130 will be a right answer
whe it is rong i am sorry
Answer:
6 teachers, and 130 student's
Step-by-step explanation:
Some car jacks are constructed like a collapsed rhombus. When used to raise a​ car, the rhombus is easily seen. If the sides of the rhombus are 15​", what is the maximum length of the​ shaft?
Complete question is;
Some car jacks are constructed like a collapsed rhombus. When used to raise a car, the rhombus is easily seen. If the sides of the rhombus are 15 inches, what is the maximum length of the shaft?
Answer:
Maximum length of shaft = 30 inches
Step-by-step explanation:
To understand this clearly, I've attached a real life image of a car jack that's in the shape of a rhombus.
From the attached image, we can see that it has four sides which are equal in length.
Now, if this jack is collapsed, the shaft will just be like a straight line with a maximum length equal to twice a side of the rhombus which represents the maximum length of the diagonal.
Since we are told that one side of the rhombus is 15 inches, it means that the maximum length of shaft = 2 × 15 = 30 inches
What 2+2.... I need help lololololol.olo
Answer:
4
Step-by-step explanation:
2+2 is 4