Answer:
Train A is 294 tons and Train B is 84 tons
Step-by-step explanation:
You can create a system of equations
A+B=378
A-B=210
Adding both would get
2A=588
2A/2=588/2
A=294
Now plug that in to the second equation (either is fine)
294-B=210
B=84
Check
294+84=378
Step-by-step explanation:
Let,
Weight of train A = x
Weight of train B = y
x + y = 378 (1)
x - y = 210 (2)
Now,
On adding 1 and 2
x + y + x - y = 378 + 210
2x = 588
x = 588/2
x = 294 tons
From 1
294 + y = 378
y = 378 - 294
y = 84 tons
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°
Answer:
d ≈ 60 ft., h ≈ 104 ft.
Step-by-step explanation:
Additionally: angle of depression = 60°
The angle of elevation and the angle of depression are congruent.
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answer:
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 – 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Thank you!
Solve the system of equations - 2x + 2y = 2 and - x + 3y = –17 by
combining the equations.
Answer:
x=-10, y=-9. (-10, -9).
Step-by-step explanation:
-2x+2y=2
-x+3y=-17
----------------
-2x+2y=2
-2(-x+3y)=-2(-17)
-------------------------
-2x+2y=2
2x-6y=34
----------------
-4y=36
y=36/-4
y=-9
-x+3(-9)=-17
-x-27=-17
-x=-17+27
-x=10
x=-10
kevin's family left on flight 737 to new york.flight 737 traveled 1346 miles in 3 hours.what is the unit rate?
Answer:
448 2/3
Step-by-step explanation:
To find miles in 1 hour (the unit rate), divide miles by hours.
(1346 mi)/(3 h) = 448 2/3 mi/h
The unit rate is 448 2/3 miles per hour.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given,
Miles (m) = 1346Time (h) = 3 hours Unit rate = ?The standard formula for unit rate is given by,
[tex]:\implies\sf{Unit \: rate = \frac{miles}{hours} } \\ \\ :\implies\sf{Unit \: rate = \frac{1346 \: miles}{3 \: hours} } \\ \\ :\implies\sf{Unit \: rate = 448 \frac{2}{3} \: \frac{miles}{hour} }[/tex]
The unit rate for the flight 737 is 448 2/3 miles per hour.How do I simplify the expression 7^0+7^2 over (7^3)^2
[tex]\frac{7^0+7^2}{(7^3)^2}=\frac{1+49}{7^6} = \frac{50}{117649}[/tex]
Ok done. Thank to me :>
Solve: x²+5x-6 = 0
Answer please
Given that:
x² + 5x - 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 1 × 6 = 6
→Difference of the constant term and the coefficient of x² = 6 - 1 = 5
Now the given equation can be written as,
⇛x² + 6x - 1x - 6 = 0
(Here we simply applied the correc sign and splitted the middle term in two terms)
Now let's take the common terms
⇛x(x + 6) - 1(x + 6) = 0
On grouping we get,
⇛(x - 1)(x + 6) = 0
Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.
⇛(x - 1) = 0 or (x + 6) = 0
⇛x - 1 = 0 or x + 6 = 0
⇛x = 1 or x = -6
Here we got two solutions of the equations. This means thet are in correct form.
Answer: The value of X is 1 or -6.
also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..
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solve the equation x^2+5x+6=0
https://brainly.com/question/22261612?referrer
Please answer ASAP. Will give brainliest.
Graph the following.
[tex] \:1)3x + 6 \leqslant 0 \\ 2)2x - y < 1 \\ \: \: \: \: \: \: \: \: 3)x + 2y + 2 \geqslant 0 \\ 4)x - 2y > 3[/tex]
1. x≤-2
2. I am not able to upload the graph
3. y≥0.5 x-1
4. y<0.5 x-3/2
1. (A) Shivalik hills (C) Satpura hills (E) Mole hills (B) Nilgiri hills (D) Aravalli hills
Answer:
A
Step-by-step explanation:
Shivalik Hills
Hope it helps to you
:-)
what are the coordinates of the circumcenter of this triangle
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points
Answer:
it is 27/16 or 1 11/16
Step-by-step explanation:
A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?
Answer:
The ratio of hours of CPR training to hours of first aid training is 10:15
Step-by-step explanation:
Please help me I really such at geometry
Answer:
EF, DE, DF
Step-by-step explanation:
Answer:
EF DE DF
Step-by-step explanation:
GIVING BRAINLIEST
What is the solution to the system of equations graphed below?
Answer:
(2,-3)
Step-by-step explanation:
The solution of two equations graphed is their intersection point.
Which would be (2,-3)
What is 35 + 34 ? I cant use calcu pls help me
Answer:
the answer is 69
Step-by-step explanation:
for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question
In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
х
12 cm
170° 90°
Answer:
sine 70 = opposite / hypotenuse
sine 70 = 12 / x
x = 12 / sine 70
x = 12 / 0.93969
x = 12.7701688855 cm
x = 12.8 cm (rounded to nearest tenth.
Step-by-step explanation:
Plz, help!!! I'll give brainliest!
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
0.5 ft = 12 × 0.5 = 6 inches 1.5 ft = 0.5 × 3 ft = 6 × 3 = 18 inchesSurface are of cuboid is : -
[tex] \sf2(lb + bh + lh)[/tex][tex]2(4 \times 6) +( 6 \times 18) + (4 \times 18)[/tex][tex] \sf2[24 + 108 + 72][/tex][tex] \sf2(204)[/tex][tex] \sf408 \: \: inches {}^{2} [/tex]The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?
Answer:
2 [tex]\frac{5}{16}[/tex]
Step-by-step explanation:
2 [tex]\frac{5}{16}[/tex] × 4 = 9 3/4
9 3/4 × 1/4 = 2 5/16
I hope this helps!
Answer:
3 1/4 feet
Step-by-step explanation:
1/4 of 9 3/4
change 9 3/4 into an improper fraction → 39/3
1/4 x 39/3 = 39/12
convert back to a mixed number by dividing 12 into 39
which goes in three times with a remainder of 3 → 3 3/12
however, 3/12 can be simplified to equal 1/4
Need help ASAP! Problem and directions in picture;)
What is the value of ?
[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]
Answer:
Angle U is 65°.
Hope you could get an idea from here.
Doubt clarification - use comment section.
I’m getting really stuck on these questions, help?
Answer:
m<-1 and 13/15
Step-by-step explanation:
In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).
This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)
What is the last digit of the 35th term of the sequence?
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
Can someone please help me with this one ty!!
A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)
What is the area of the sector ?
Answer:
8πcm² = 8pi cm²
Step-by-step explanation
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
Help me solve this please!
Answer:
x=15
Step-by-step explanation:
if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides
Can you help me please ?
Answer:
A
Step-by-step explanation:rise⇵ over run ⇄
the rise is -6 the run is 3
what is the slop of the line 2x - 5y=9
The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2The slope is 2
Answer:
(5,2)
Step-by-step explanation:
through:(-3,-1), slope=4/3
Answer:
I need more info
Step-by-step explanation:
2x^2
When x is equal to -3
Answer:
18
Step-by-step explanation:
Substitute x = - 3 into the expression
2x²
= 2(- 3)²
= 2 × 9
= 18
what is the slope of the line 3x-4y=73x4y=7?
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
y = mx + b , "m" is slope and "b" is y-intercept
~~~~~~~~~~~~~
3x - 4y = 7
- 4y = - 3x + 7
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{4}[/tex] ⇒ m = [tex]\frac{3}{4}[/tex]
Solve for the missing side length for the triangle below
Someone plz help :(
Side Lengths Angle Measures
6.6 in. 45∘
9.4 in. 90∘
6.6 in. 45∘
Based on the measurements, which answer best describes the triangle?
obtuse scalene triangle
obtuse isosceles triangle
acute scalene triangle
right isosceles triangle
right scalene triangle
right equilateral triangle
acute isosceles triangle
[tex]\huge \bf༆ Answer ༄[/tex]
According to the given information, The Triangle should be ~
[tex] \sf Right \: \: Isosceles \: \: triangle [/tex]It's because the Triangle has two equal sides 6.6 inches each. and One right angle (90°) ~