Answers
Answer:
x= 12/7
Step-by-step explanation:
3x+4x=12
Step 1: Simplify both sides of the equation.
3x+4x=12
(3x+4x)=12(Combine Like Terms)
7x=12
7x=12
Step 2: Divide both sides by 7.
7x 7 = 12 7 x= 12 7
12/7
Related Questions
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
Answers
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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Solve for x (round to the nearest hundredths of a degree)
PLEASE HELP ME DUE IN A HR
Answers
Answer:
x = 34.85
Step-by-step explanation:
Apply trigonometric ratio formula to find x
Reference angle = x
Side opposite to x = 4
Hypotenuse = 7
Therefore,
Sin x = opp/hyp = 4/7
x = sin-¹(4/7)
x = 34.85° (nearest hundredth)
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answers
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
Answers
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
What is the face value of 2 in the number 286?
Answers
Answer:
200 or 2 I guess
Step-by-step explanation:
Ion really get wym by “ what is the face”
3*f(-4)-3*g(-2)=???
Khan Academy
Answers
The value of the given function is 6
Functions and valuesGiven the following expression 3*f(-4)-3*g(-2), to find the values, we can assume that;
f(-4) = 10g(-2) = 8Substitute the given parameters into the expression to have:
3*f(-4)-3*g(-2)
= 3((10) - 3(8)
= 30 - 24
= 6
Hence the value of the given function is 6
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Answer:
khan academy the answer is -27
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
Answers
Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Answers
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
hello, I hope your having a nice day! (if not then there will be other sunny days)
but I need someone who could help me solve this problem. :)
Answers
Answer:
-6x^4y^4z^8
Step-by-step explanation:
what wasbthe high temperature bon the 6th day of the trip
Answers
What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?
Answers
Answer:
1/25, 1/5, 1
Step-by-step explanation:
Answer:
A on edgeinuity
Step-by-step explanation:
IMAGINE GETTING A DIPLOMA IN THREE DAYS!!!
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answers
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
What is the value of
7/3 divided by 5/6
Answers
Answer:
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6
3 x 5
=
42
15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42
15
To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
Step-by-step explanation:
42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .
Here, we have,
given that,
7/3 divided by 5/6
so, we get,
7/3 / 5/6
=7/3 x 6/5
multiply the dividend denominator by the divisor numerator to make a new denominator:
7 x 6/3 x 5
= 42/15
Thus, the answer to 7/3 divided by 5/6 in fraction form is:
42/15
To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:
42/15 = 2.8
The answer is rounded to the nearest four decimal points if necessary.
42/15 can be simplified to 14/5.
14/5 is an improper fraction and should be written as 2 4/5.
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Pls help I’ll brainlest for the correct answer
Answers
Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
Help for brainliest !!
Answers
Answer:
I think the option b
But not sure about it
Answer:
A. 5/9 square meters
Step-by-step explanation:
Given
Length (L) = 5/6 meter
Breadth (b) = 2/3 meter
Now
Area of the garden
= L * b
= 5/ 6 * 2 / 3
= 5 / 9 square meters.
Hope it will help :)
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answers
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
Answers
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation:
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answers
Answer:
True
Step-by-step explanation:
Kate had $140. She spent
2/5 of it. What amount did she spend?
Answers
= 56
So Kate spent $56
The amount Kate spent $ 56 of the $ 140 she had.
To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.
To do this, we can multiply $ 140 by the fraction 2 / 5:
= $ 140 * 2 / 5
= $280 / 5
= $ 56
Therefore, Kate spent $ 56 of the $ 140 she had.
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Will give brainliest
Answers
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A) Triangle X W Y is shown. Angle X Y W is a right angle. The length of hypotenuse W X is y, the length of X Y is a, and the length of W Y is 9. Triangle W X Y is shown. Sides W X and X Y are congruent. The length of W Y is 7. Triangle W X Y is shown. Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y. Triangle W X Y is shown. The length of W X is 10, the length of X Y is 8, and the length of W Y is 16.
Answers
Answer:
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
Step-by-step explanation:
On which triangle can the law of cosines be applied once to find an unknown angle measure?
The Law of cosines is given as:
a² = b² + c² - 2bccos(A)
From the options given above, the correct option is Option C
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
This is because:
Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.
In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10
The unknown side is the length of W X which is represented as y.
Hence, Option C is the correct option.
Answer:
D
Step-by-step explanation:
I got it right on my program.
The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.
Answers
18-4 is 14
Its 14
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
Answers
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
Does anyone wanna help me?
Answers
Answer:
The correct answer is Lorenzo
If there are two boys to every three girls, what percent of the class is girls?
Answers
As a gift for your hard-earned victory in defense of the kingdom, the king gives you a reward. One penny with the promise to double it every day for the next 25 days. What would a reasonable range be in this situation? How many pennies will you have on the 25th day?
Answers
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer: 27°
Step-by-step explanation: Here, we're asked to find the missing angle measure in the triangle shown which is represented by the variable x.
To find the value of x, remember that the sum of the
measures of the angles in a triangle is 180°
So we can setup the equation 63 + 90 + x = 180.
Remember that a box indicates a 90° angle.
Now to solve for x, let's first simplify on the left side of the equation.
63 + 90 is 153 so we have 153 + x = 180.
Now to get x by itself, we subtract 153 from both sides of the equation.
On the left side of the equation, 153 - 153 cancels out and we have x
and on the right side of the equation, 180 - 153 is 27.
This means that the missing angle in the triangle is 27°.
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answers
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
I need some help please
Answers
Answer:
might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong
Step-by-step explanation:
