Answer:
Step-by-step explanation:
1.5 kilogram = 1.5* 1000= 1500
percentage = 300/1500 = 1/5 = 20%
How many solutions does y+x=5 5x+5y=25 have?
A) One
B) Infinitely Many
C) None
D) Two
Answer:
B is the answer.
Step-by-step explanation:
Given equations y + x = 5 and 5x + 5y = 25.
These equations have infinetely many solutions because they are equivalent.
This can be proven by the multiplicative property of equality and the commutative property of addition.
y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.
2
Select the correct answer.
Simplify the expression 53x55
Answer:
2915
Step-by-step explanation:
Write the equation of the line which contains all images of point C.
(12.1)
С
(8,0)
B
2
10
12
(a,b)
(Α)
2
B
y = 4.3 – 2
C
y = 4.2
4.
Answer:
A
Step-by-step explanation:
y = 1/4 × x - 2
x=8 => y=0. correct for B
x=12 => y= 1. correct for C
all other answer options fail for these 2 points.
two pirate ships leave the same port at the same time. The first ship travels due North at a constant speed while the second ship travels due East at a constant speed. After one hour, the ships are 25 miles apart. The ship traveling North is 5 mph faster than the ship traveling East. Find the speed of each ship in miles per hour.
Step-by-step explanation:
the speed of the first ship is 20 mph
and the second ship is 15 mph
The speed of the ship that travelled North is 20 miles per hour and that of the ship that travelled East is 15 miles per hour.
Constant Speed:
'When the speed of an object remains the same - it does not increase or decrease - we say it is moving at a constant speed.'
According to the given problem,
Let the pirate ship that travelled north be A and the other ship that travelled east be B.
Since ship A went North which is upwards and ship B went east which is towards the right,
We can construct a right angled triangle with the perpendicular being the distance travelled by ship A and the base being the distance travelled by ship B.
It is given that after travelling for one hour, the ships are 25 miles apart.
Therefore we can consider the hypotenuse of the triangle to be 25 miles.
Now applying pythagoras theorem,
Hypotenuse² = Perpendicular² + Base²
⇒ 25² = x² + ( x + 5 )²
⇒ 625 = x² + x² + 10x + 25
⇒ 2x² + 10x + 25 - 625 = 0
⇒ 2x² + 10x - 600 = 0
⇒ x² + 5x - 300 = 0
⇒ x² + 20x - 15x - 300 = 0
⇒ x( x + 20 ) - 15( x + 20) = 0
⇒ ( x + 20 )( x - 15 ) = 0
⇒ x = 15 , -20
Since, distance cannot be negative,
x = 15
Therefore Distance travelled by ship A = ( 15 + 5 ) miles
= 20 miles
Time taken = 1 hour
Speed of ship A = [tex]\frac{Distance}{Time}[/tex]
= [tex]\frac{20}{1}[/tex] miles per hour
Distance travelled by ship B = 15 miles
Speed of ship B = [tex]\frac{15}{1}[/tex] miles per hour
Hence, after solving the problem, we can conclude that the speed of the ship travelling north is 20 miles per hour and the ship travelling east is 15 miles per hour.
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PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
[tex] \dfrac{2x}{x + 7} [/tex]
Step-by-step explanation:
[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]
Factor the numerator and denominator.
[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]
[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]
[tex] = \dfrac{2x}{x + 7} [/tex]
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
O A. y = (x+3)(x+5)
B. y = (x-3)(x +5)
C. y = (x-3)(x-5)
O D. y = (x+3)(x-5)
Answer:
need this anyone got it?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use three-unit multipliers to convert 97 cubic feet to cubic inches
answer??? please answer
Answer:
∠ 1 = 94°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
130° is an exterior angle of the triangle, then
∠ 1 + 36° = 130° ( subtract 36° from both sides )
∠ 1 = 94°
The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?
Answer:
5,2
Step-by-step explanation:
the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2
which function is a translation of the parent absolute value function?
shift 5 units to the right
shifts 4 units down
Answer:
[tex]g(x) = |x-5|-4[/tex]
Step-by-step explanation:
[tex]f(x) = |x|\\\\g(x) = f(x-5)-4\\\\g(x) = |x-5|-4[/tex]
Laura makes $9 per hour working at Starbucks. She can also expect to make an additional $3 in tips for one day. It
costs Laura $48 to fill up her car with gas. What is the minimum number of hours she needs to work in a day to
make $48?
Answer:
5 Hours
9×5 = 45
plus the $3 tip is 48.
hope this helped:))
Laura needs to work 5 hour in a day to make $48.
What is Unitary Method?'The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.'
According to the given problem,
Amount Laura makes per hour = $9
Amount Laura receives as tip = $3
Amount Laura needs to fill up her car with gas = $48
Since, 45 is the closest multiple of 9 to 48,
Let, the number of hours Laura has to work be x,
⇒ 9x = 45
⇒ x = 45/9
⇒ x = 5
Since, she will receive an additional tip of $3,
= $( 45 + 3 )
= $48
Hence, we can conclude, Laura has to work a minimum of 5 hours to make $48.
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Mahak is measuring the maximum space inside a watering can. This is a measure of A weight. B capacity.
Answer:
B. capacity.
Step-by-step explanation:
In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.
Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.
For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.What is the measure of arc WYZ?
------------
hint: find the measure of arc WYZ
------------
231
255
200
168
Step-by-step explanation:
We have a diameter and vertical angles so
231.
180+51=231
Answer:
231
Step-by-step explanation:
The measure of arc WX is 51
XZ is a straight angle so its arc measures 180 degrees
The measure of arc WYZ
WYZ= WX + XZ
= 51 + 180
231
Expand to write an equivalent expression: -½ (2x + 4y). If you get stuck, use a diagram to organize your work.
Answer:
ANSWER IS 4 BY 2 IS 342
Step-by-step explanation:
Answer:
- x - 2y
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] (2x + 4y) ← multiply each term in the parenthesis by - [tex]\frac{1}{2}[/tex]
= - [tex]\frac{1}{2}[/tex] (2x) - [tex]\frac{1}{2}[/tex] (4y)
= - x - 2y
The math question is in the picture thank you
Answer:
2+2=4 and 4*4=16 16+2 = 18 so WOOSH your answer is now a legal adult
Step-by-step explanation:
d nuts
The scale of the floor plan of a room is 1 cm : 6.5 m. On the floor plan, the room is 3 cm long by 2 cm wide. What are the actual dimensions of the room?
Answer:
The room is 19,5m long and 13m wide.
Step-by-step explanation:
1cm -> 6,5m
3cm -> 19,5m
2cm -> 13m
What is the solution to the system of equations?
Solve using the substitution method.
-5x – y=6
-8x + y = 20
A) (-2,4)
B) (1, -2)
D) (2, 1)
C) (1,2)
Answer:
-8x+y=20
y=20+8x
-5x-y=6
-5x-(20+8x)=6
-5x-20-8x=6
-13x=6+20
-13x=26
-13x÷ -13=26÷ -13
x= -2
-8x+y=20
-8×(-2)+y=20
16+y=20
y=20-16
y=4
A) (-2,4)
Hii! Does anyone know the answer to this? I’m bad at geometry and need help! Thank you
Answer:
Length of AC = 23.75 unit
Step-by-step explanation:
Give that BD II CE
Length of AB = 10 unit
Length of AD = 16 unit
Length of DE = 22 unit
Find:
Length of AC
Computation:
Give that BD II CE
So,
AB / BC = AD / DE
AB / [AC - 10] = AD / DE
10 / [AC - 10] = 16 / 22
[10][22] = [AC - 10][16]
220 = 16AC - 160
16AC = 220 + 160
16AC = 380
AC = 23.75
Length of AC = 23.75 unit
Image attached down bellow
Answer:
C
Step-by-step explanation:
What are the measures of ∠a, ∠b, and ∠c?
Answer:
a should be 45
b should be 90
c should also be 45
Step-by-step explanation:
I know this because 180-135=45 for a
since c is also 45, beside c should be 135.
which means those angles are congruent.
since a triangle equals 180 degrees all together 180-45-45=90
so b is 90
correct me if im wrong
Help me pls ! Show your work
Answer:
y = (-2) 2^(x+1)
Step-by-step explanation:
Whenever x increases from by 1, y decreases by doubling (the negative value), so the exponent is -2
When x = -1, y = -2.
So the exponential equation (NOT linear) is
y(x) = -2*2^(x+1)
Check:
y(-1) = -2*2^(-1+1) = -2*1 = -2
y(0) = -2*2^(1) = -2*2 = -4
...
y(2) = -2*2^(2+1) = -2*8 = -16
all good.
David cooks a turkey in the oven at 450° for 30 minutes. Then he lowers the heat to 300° and cooks the Turkey for 2 more hours. How many minutes does David cook the turkey in all
Answer:
150 mins
Step-by-step explanation:
Answer:
150 minutes
Step-by-step explanation:
write an equation of the line in slope-intercept form.
What is the area of the trapezoid showroelow?
7
25
4.
Answer:
180
Step-by-step explanation:
The regular price of a grill is $599.99 if there is a 20% discount and the sales tax is 6%, what is the final price of a grill
Answer:
$508.79 .............................................................
3x^2 – 8x + 5 = 5x^2
Answer:
Step-by-step explanation:
[tex]3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\[/tex]
a = 2, b = 8, c = -5
[tex]x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\[/tex]
[tex]x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}[/tex]
how do you graph the inequality x>2
Answer:
Mark a line or colors from the left of 2 on the x until arrive on the point of 2
Step-by-step explanation:
Solve for W.
2=LW
Nnnnnnnnnnnnnnnnn
Answer: W = 2/L
Isolate the variable by dividing each side by factors that don't contain the variable.
calculate the value of 3√12 ÷ 6√27
which of the following is a solid consisting of a disc, a point not in the same plane as the disc, and all the points between them
Answer:
the answer is cone.
Step-by-step explanation:
a p ex