Answer:
The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]
Option A is correct option.
Step-by-step explanation:
What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]
Solving the equation
[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]
Subtracting 2 on both sides
[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]
Adding 5/8x on both sides
[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]
Multiply both sides by 8/7
[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]
So, we get x = -8
The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]
Option A is correct option.
Margie says the set of numbers, 0.1, -1, -21
4
, 3, are in order from least to greatest. What is her error?
She did not use the correct common denominator.
The 3 is in the wrong place.
She treated all the numbers as positive.
The –1 should be the first number on the list.
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
Answer:
She treated all the numbers as positive.
Step-by-step explanation:
ik because i am from the future
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
1.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's class has 15 students with brown eyes and 10 students with blue eyes. Which classroom has a higher ratio of brown eyes?
a.
Ms. Abbott's class
c.
They are the same
b.
Mrs. Downey's class
d.
Mrs. Smith's class
Answer:
They are both the same
Step-by-step explanation:
(ratio of brown eyes to blue eyes)
Ms. Abbott's class- 18:12
Ms. Downey's class- 15:10
if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.
-8x-6 pls holpp :((((
Answer:
The answer is 48.
Step-by-step explanation:
None.
Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)
Answer:
Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.
Step-by-step explanation:
Maria orders a salad and a drink for lunch at a resturant. A salad costs $4.75 and a drink costs $1.65. How much tip should maria leave the server if she wants to tip her 18%?
A. $5.24
B. $7.55
C. $6.40
D. $1.15
Pls Help..... 50 points and brainliest if you answer correctly!
Answer:
5
Step-by-step explanation:
The left side is equal to:
x/(2.52-2.02) = x/0.5 = 2x
Let's simplify the numerator of the right side.
9*(31/20 - 1.05) = 9*(0.5) = 9/2
The denominator is 43/40 - 35/8 /7 = 43/40 - 5/8 = 43/40 - 25/40 = 18/40 = 9/20.
So 2x = (9/2)/(9/20) = 10
x = 5
Answer:
x=-2835/62 or (in decimal form) 45.726
Step-by-step explanation:
Hope this helps!
Brain-List?
If ABD ~ HGE and AC and HF are angle
bisectors, find x. And If LJK ~ PQN, find x.
Answer:
Q1. 9.6, Q2. 33Step-by-step explanation:
Corresponding parts have same ratio:
Q1
x/24 = 14/35x = 24*2/5x = 9.6Q2
x/42.9 = 30/39x/42.9 = 10/13x = 42.9*10/13x = 33Answer:
Step-by-step explanation:
What is the difference between 3 more than 1/3 and 3
Answer:
Step-by-step explanation:
3 more than 1/3 represents 3 + 1/3 Which would equal 3 and 1/3 or 10/3. This is different than 3 since it equals 9/3. They don’t equal each other due to it being 3 added to 1/3
Identify the equation of the parabola in vertex form if a = 1 and the vertex is (4, 6).
a) y = (x - 6)2 + 4
b) y = (x + 6)2 +
+4
c)y=(x + 4)² +6
d) y = (x - 4)2 + 6
Answer:
B
Step-by-step explanation:
where is the point ( 0,-4) located on the coordinate plane
A. on the y-axis
B. in Quadrant 3
c. on the x-axis
d. in quadrant 4
Answer:
A
Step-by-step explanation:
If you plot the point on a cartesian plane you see it is on the y axis
Answer:
D
Step-by-step explanation:
PLEASE HELP AND GET POINTS!
Answer:
i think 6 x 72 = calculator
Step-by-step explanation:
Answer:
6 x 70 = calculator
Step-by-step explanation:
Subtract 6q from 10z
Answer:
10z-6q..............
a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?
Answer:
Velocity of plane is 100 mi/hr along northeast direction
Step-by-step explanation:
From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction
since the velocity of wind and plane is exactly opposite
⇒ relative velocity of plane with respect to wind is given by
[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr
Therefore, [tex]v_r_e_l = v_p - v_w[/tex] = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction
Therefore, velocity of plane is 100 mi/hr along northeast direction
By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.
Working with the velocity vectors:
First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.
We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.
Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.
So the vector is:
V = < 147.7 mi/hr, -26 mi/hr >
Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:
x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) = -35.4 mi/hr.So the vector is:
W = < -35.4 mi/hr, -35.4 mi/hr>
The sum of the vectors gives the total velocity of the plane in the wind, we will get:
V + W = < 147.7 mi/hr -35.4 mi/hr , -26 mi/hr -35.4 mi/hr >
V + W = <112.3 mi/hr, -61.4 mi/hr>
The direction of a vector <x, y> is given by:
θ = Atan(y/x)
Then in this case the direction of the plane is:
θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°
So the direction of the plane is 28.7° south of east.
If you want to learn more about vectors, you can read:
https://brainly.com/question/17108011
Select the correct answer. Which graph represents this inequality? 3x+y<1
Answer:
the answer is c the one above d
Step-by-step explanation:
In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
Learn more about Law of Cosines here :
https://brainly.com/question/17289163
#SPJ2
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answer:
5^8 .. you have to do it like this 5^(2×4)
What decimal represents 1/4
Find cos θ for θ = 60°
Question
Find cos θ for θ = 60°
2x + 4y − 6z = 44
x + 2y + 3z = −2
3x − 4y + 4z = −16
(x, y, z) =
Answer:
x,y,z=4,3,-4
Step-by-step explanation:
2x+4y-6x=44 = x+2y-3z=22
x+2y-3z=22
x+2y+3z=-2
x+2y-3z=22
3x-4y+4z=-16
x+2y-3z=22 ------>
2x+4y=20
x+2y+3z=-2 ------>
x+2y-3z=22 ------>
13x-4y=40
3x-4y+4z=-16 ------->
2x+4y=20
13x-4y=40
y=3
x=4
4+2x3-3z=22
z=-4
(x,y,z)=(4,3,-4)
2x4+4x3-6x(-4)=44
4+2x3+3x(-4)=-2
44=44
-2=-2
-16=-16
(x,y,z)=(4,3,-4)
I am so sorry if it is incorrect I tried :<
PLZ HELP ME I REALLY NEED IT?!?
Answer:
he bought 17 book.
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer: None of the choices is correct.
6,714÷103 is about 65.184
Step-by-step explanation:
The closest answer is the second choice. But there must be a typo in the question.
6,714÷100 = 67.14
I hope this helps. You might be able to ask your teacher about the mistake in the question.
A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?
A-28.3ft
B-56.5ft
C-113.1ft
D-245.5ft
circumference =2×pi×r
18/2=9(r)
so...2×pi×9
=54..5
Answer:
56.5 ft
Step-by-step explanation:
We define the number π as the ratio between the circumference and diameter of a circle: π = c/d. Rearranging this equation gives us one for the circumference: c = πd. Using an approximation of π ≈ 3.14 and our value of d = 18 feet, we can find that c = 3.14(18) = 56.52 ft, or 56.5 ft, rounded to the nearest tenth.
John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?
Answer:
5/12
Step-by-step explanation:
The whole book is 1.
So This will be your equation.
1/3 + 1/4 = 1
4/12 +3/12 = 1
7/12 = 1
Now you minus 7/12 from 1
1-7/12 is how much is left
12/12-7/12= 5/12
The fraction that represents the book john has left to read is 5/12.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.
Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -
1/3 + 1/4 + x/y = 1
x/y = 1 - 7/12
x/y = 5/12
Therefore, the fraction that represents the book john has left to read is 5/12.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
is y=4x+2 proportional?
Answer: yes
Step-by-step explanation:
write one way to read the expression 1/4×(48+8)
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?
Answer:
k47n4
Step-by-step explanation:
Answer: would it be the 12th year and a half
Step-by-step explanation: because since it increases then half of the year it would be $30,400
2 cents using dollar symbols
answer:
$0.02
-- let me know if you have any questions regarding this.
Determine whether the function f(x) = -920 + 6 + 2 is even, odd or neither.
Answer:
Even
Step-by-step explanation:
The answer is -912 which is even because it ends with a 2.
I hope this helps. Your Welcome:)
What is the formula for slope?
Will give brainliest for first correct.
Answer:
To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".
Hope helps