Answer:
Pair are
30 , 3150
90, 1050
150, 630
210 , 450
Step-by-step explanation:
Let the numbers be a and b
a = 30x and b=30y
HCF of a and b = 30
Product of numbers = LCM * HCF
30x * 30y = 30 * 3150
30xy = 3150
xy = 3150/30 = 105
1*105 or 3* 35 or 5 * 21 or 7 * 15
1) 105 = 1*105
30xy =30*1 , 30*105 = (30 , 3150)
2) 105 = 3 * 35
30xy = 30*3 , 30*35 = 90 , 1050
90 , 1050
3) 150 , 630
4) 210 , 450
A passenger train leaves the train depot 2 hours after a freight train left the same depot. The freight train is traveling 20mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train in threehours.
Answer:
50 (mph) = rate of passenger train
Step-by-step explanation:
Let the rate of the freight train = R
Let the rate of the passenger train be R + 30
The freight train has been traveling for 2 + 3 = 5 hours
And the passenger train has been traveling for 3 hours
And they have traveled the same distance when the passenger train overtakes the freight train
So using rate * time = distance we have that
R(5) = (R + 20) 3 simplify
5R = 3R + 60 subtract 3R from both sides
2R = 60 divide both sides by 2
R = 30 (mph) = rate of freight train
R + 20 = 50 (mph) = rate of passenger train
Please help! I will mark brainliest!
Answer:
1. is 283.9953
Step-by-step explanation:
360 degrees - 76.0047 degrees is 283.9953
PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST !!!
Answer:
[tex]12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 12 \times 4 \div 3 = 4 \times 4 = 16 \\ 16 \times 5 = 80 \: ft \: [/tex]
first you must know how many 3/4 do you have
because of scale
and after that multiply to 5 to get actual length
Which of the following is the solution to 17 - 2x=-11?
03
O-14
14
-3
Answer:
17-2x=-11 ---> 14
Step-by-step explanation:
plug in the "answers"
17-2(14)=-11
Francine and Cheryl receive equal scores on a test made up of multiple choice questions for an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay.
Answer:
hello I would like to help you but you don't give us the question? how do you expect people to help you if you don't actually give the question
What is 5x+4=8x-71? SHOW WORK!!!!
Answer:
x=25
Step-by-step explanation:
5x + 4 = 8x-71
-5x = -5x
4 = 3x-71
+71 = +71
75 = 3x
75/3 = 3x/3
25 = x
Any experts, help please.
Find the equation of the line passing through the points (22,37) and (-33,-23). Write your answer in the form
y
=
m
x
+
b
.
y
=
m
x
+
b
.
Answer:
y = 12/11x + 13
Step-by-step explanation:
Slope: (-23-37) / (-33-22) = -60/-55 = 12/11
b = 37 - (12/11)(22) = 13
12r-5 61°
R
A) 790
C) 140°
B) 70°
D) 970
Answer:
79 because x = 7 so 12 x7 - 5 =79
Write the verbal phrase
as an
algebraic expression.
1.
the sum of d and 7
Answer:7
Step-by-step explanation:
I graduate from Harvard
I NEED HELP PLEASEEE
Answer:
b = [tex]\sqrt{333}[/tex]
Step-by-step explanation:
1. We can use the Pythagorean Theorem to find the missing side, b.
[tex]14^2 + b^2 = 23^2[/tex]2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](14*14)+b^2 =(23*23)[/tex] [tex]196 + b^2 = 529[/tex]Step 2: Subtract 196 from both sides.
[tex]196 + b^2 - 196 = 529 - 196[/tex] [tex]b^2 = 333[/tex]Step 3: Take square root of both sides.
[tex]\sqrt{b^2} = \sqrt{333}[/tex] [tex]b = \sqrt{333}[/tex]Step 4: Check if solution is correct.
[tex]14^2 + \sqrt{333^2} = 23^2[/tex] [tex](14*14)+(\sqrt{333} *\sqrt{333})=23*23[/tex] [tex]196 + 333 = 529[/tex] [tex]529 = 529[/tex]Therefore, b = [tex]\sqrt{333}[/tex].
Answer:
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^2\\14^2 + b^2 = 23^2\\\\196 + b^2 = 529\\\\b^2 = 333\\b = 18.2482875909[/tex]
no spams
need a well explained ans
if u don't know stay out of the question
The three inside angles need to equal 170 when added together.
When two sides are the same which is shown by the little lines through the sides the two bottom angles are the same.
1. X = 170-80-80 = 20
2. X = 180-75-75 = 30
3. X = 180-70 = 110/2 = 55
Step-by-step explanation:
1) x+80°+80°=180°
x=180°-160°
x=20°.
2) as it is a isosceles triangle, y =75°.
x+75°+75°=180°
x=180°-150°
x=30°.
3) 2x+70°=180°
2x=110°
x=55°.
hope all these helps you.
Solve. 39 divided by 11
O A) 3 5/11
O B) 3 6/11
O C) 11 1/2
O D) 6 3/11
I dont understand this plz help me
Answer:
Step-by-step explanation:
A school had 180 boys and 240 girls attending
(a) What is the ratio of boys to girls?
(b) What is the ratio of girls to boys?
(c) What is the ratio of students to boys?
(d) What is the ratio of girls to students?
Answer:
a) 3 : 4
b) 4 : 3
c) 7 : 3
d) 4 : 7
Step-by-step explanation:
(just a side note: you can write ratios in fraction form as well!)
To find the ratio between boys to girls, we would write it like this:
180/240 or 180 : 240 or 180 to 240
Although that is right, that isn't simplified.
Thus, we need to find a common factor that both the numerator and denominator share!
180 and 240 are both divisible by 60!
180 ÷ 60 = 3
240 ÷ 60 = 4
Therefore, you would get a simplified ratio of 3 : 4! For every 3 boys. there are 4 girls!
For part b, you simply switch the 4 and 3 around so you get 4 : 3. For every 4 girls, there are 3 boys.
Now part c involves the total amount of students...
Basically, add the number of boys and the number of girls together, and you would get 420.
420 : 120 shows the amount of students there are to boys...but it is not in its simplest form!!
Like we did before, we have to find a common factor between the two...which is 60!
420 ÷ 60 = 7
120 ÷ 60 = 3
Thus, there are 7 students for every 3 boys (7 : 3)
Finally, part d! Simply the ratio:
420 : 240
Divide both by 60 and...
You get 4 :7! For every 4 girls, there are 7 students
Hope this helps! Let me know if you have any other questions :D
Answer:
(a) 3:4
(b) 4:3
(c) 7:3
(d) 4:7
Step-by-step explanation:
(a) 3:4
180:240 = 3:4 (after simplification)
(b) 4:3
240:180 = 4:3 (after simplification)
(c) 7:3
Total number of students = 240 + 180 = 420
420:180 = 7:3 (after simplification)
(d) 4:7
Total number of students = 240 + 180 = 420
240: 420 = 4:7 (after simplification)
what is plzz help me 3[x-6]
Answer: if this is distribution it would be 3x-18
Step-by-step explanation:
Which graph matches the equation 4x² + 25y^2 = 100?
graph b matches the equation
Pls I need help and a explanation
Answer:
20) 7/16 = 0.4375
21) 1/6 = 1.6 repeating
22) 2 4/5 = 2.8
23) 98 2/3 = 98.6 repeating
24) 0.8 = 4/5
25) 26 1/5
26) 72.1 repeating = 72 1/9
27) 0.505 = 101/200
Explanation:
To convert fraction into decimal, divide the numerator by the denominator and that's your answer. For example:
7 ÷ 16 = 0.4375.
To convert a decimal into a fraction, place the number after the decimal point over the number place it's in. For example: If you look at 0.8 , 8 is in the tenths place, so you place it over 10 like this 8/10, and then you simplify. Half of 8 is 4 , and half of 10 is 5, so you'd have 4/5.
For #27, since 505 in 0.505 , is in the thousandths place, you'd put it over 1,000 like this 505/1000 and then you simplify. Look at image above to learn how to simplify 505/1000.⤴⤴⤴
(7,0). (3.6)
What is the slope?
Step-by-step explanation:
given,
points = (7,0) & (3,6)
we know,
slope = y_2 - y_1 / x_2 - x_1
now,
→ 6 - 0/3-7
→ 6/-4
→ -1.5 or 3/-2
therefore , slope of line is -1.5 OR In the form of fraction it is 3/-2.
hope this answer helps you dear...take care and may u have a great day ahead!
Will give correct answer brainliest
Answer:
(2,-5)
(-6,-7)
(-7,-4)
these are the coordinates after the transformation
(solve equation)
7b=84
Answer:
b = 12
Step-by-step explanation:
7b = 84
We can break down 7b as 7 x b
7 x b = 84
We divide both sides by 7:
7 x b ÷ 7 = 84 ÷ 7
b = 12
-Chetan K
9e - 7 = 7e - 11
solve for e
Answer:
e = -2
Step-by-step explanation:
9e - 7 = 7e - 11
Subtract 7e from both side
2e - 7 = -11
Add 7 to both sides
2e = -4
Divide by 2 to isolate e
e = - 2
Answer:
e = -2
Step-by-step explanation:
9e - 7 = 7e -11
9e - 7e - 7 = -11
9e - 7e = -11 + 7
2e = -4
e = -2
Feel free to mark this as brainliest! :D
Solve for h in terms of g and u
4u²(2u²) /g = -2u²h -gh²/2 +h
9514 1404 393
Answer:
h = (1 -2u² ± √(1 -4u²-12u⁴))/g
Step-by-step explanation:
This is a quadratic in h, so there are two solutions.
Written in standard form, the given equation is ...
(-g/2)h² +(1-2u²)h -8u⁴/g = 0
The quadratic formula tells you the solution for h is ...
h = (-(1 -2u²) ±√((1 -2u²) -4(-g/2)(-8u⁴/g)))/(2(-g/2))
h = (2u² -1 ± √(4u⁴ -4u² +1 -16u⁴))/-g . . . . . simplify
h = (1 -2u² ± √(1 -4u²-12u⁴))/g . . . . . . . . collect terms
I need help with this:
Answer:
I need you hahaah
Step-by-step explanation:
Answer:
38_kaksfhdksks ejdjdjdk sjdjdjs
75.25-11.92
what is the answer
Answer:
63.33
Pretty easy if you use a calculator
The perimeter of a rectangle is 28cm it’s length is more than 10cm more than it’s widith which equation can be used to find the dimensions
P = 2((10 + x) + x)
The perimeter of a rectangle is the sum of the length and width multiplied by 2
P = 2(l + w)
[to simplify the expression]
P = 2 × (l + w)
[using x to represent the width]
w = x
l = x + 10
P = 2 × ((10 + x) + x)
P = 2((10 + x) + x)
What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 6x-y=1?
Answer:
y = 6x + 3
Step-by-step explanation:
6x - y = 1
6x -1 = y
Slope = 6
Point (-1,-3)
y-intercept = -3 - (6)(-1)
= -3 + 6 = 3
y = 6x + 3
Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?
A f(x) = (x – 1)2 + 2
6 f(x) = x2 – 2 – x + 1
© f(x) = x2 – 2x + 1
D f(x)= (x - 1)(x - 1)
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:
The vertex of the graph is (h,k).The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point. The value of h determines how far left or right the parent function is translated. The value of k determines how far up or down the parent function is translated.The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.
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work out x pls anwser pls
Answer:
66?
Step-by-step explanation:
180 degrees in a triangle, add 79 and 35 together = 114
180 - 114 = 66
Answer:
66°
Step-by-step explanation:
All angles in a triangle add up to 180° . Therefore you will need to add up 79° and 35° then subtract it from 180° in order to find the missing angle x.
Solve by
substitution or elimination
2x-y=10
4x-2y=21