x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the raining fuel is 1.5 gallons or less. write an inequality to determine the number of days diego's father can drive the car without the warning light coming on.
Answer:
0.5n < 12.5
n < 25 days
Step-by-step explanation:
Total gallons of fuel = 14 gallons
Warning light comes on when the remaining fuel is 1.5 gallons or less
Gallons of fuel used without warning light = 14 gallons - 1.5 gallons
= 12.5 gallons
Gallons of fuel used per day = 0.5 gallons
Number of days = n
inequality to determine the number of days diego's father can drive the car without the warning light coming on.
0.5n < 12.5
n < 12.5/0.5
n < 25 days
A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
7.22 feet
Step-by-step explanation:
From the question,
s = d/t................. Equation 1
Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance
make d the subject of the equation,
d = s×t.................... Equation 2
Given: s = 2.6×10000 feet per seconds, t = 1 hour = 3.6×1000 seconds.
Substitute these values into equation 2
d = (2.6×10000)/(3.6×1000)
d = 26000/3600
d = 7.22 feet.
Hence the shuttle travels 7.22 feet in an hour
plz help asap
click it to make it big
Answer:
d no association
Step-by-step explanation:
What is the largest perfect square factor of 84
Answer
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step-by-step explanation:
The largest perfect square factor of 84 is 4.
We know that, a factor is a number that perfectly divides the number with 0 as remainder.
The easiest way to find out factors of a number is by doing LCM.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
From all the above factors 4 is the only number that is a perfect square.
Therefore, the largest perfect square factor of 84 is 4.
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Evaluate the following expression.
6 x [(16 + 29) / 9 -3]
Answer:
45
Step-by-step explanation:
6 × [45 / 9-3]
6×45/6
270/6
45
Answer:
45
Step-by-step explanation:
6 x (16 + 29) / 9 - 3)
16 + 29 = 45
9 - 3 = 6
45/6 = 7.5
6 x 7.5 = 45
Let me know if this helps!
what is the solution to the problem
x + 8.63 = 11.001
Answer:
x=2.371
Step-by-step explanation:
Subtract 8.63 from both sides
x+8.63-8.63=11.001-8.63
x=11.001-8.63
x=2.371
David leaves the supermarket at 1810
He drives 20 miles to his home.
The speed limit for the journey is 30 mph.
David drives within the speed limit.
(b) Can David get home before 1900?
Give reasons for your answer.
Answer:
The total distance David has to travel 20 miles.
The speed limit is 30 mph. He leaves supermarket at 18 10 , he has 50 minutes to get home before 1900.
when traveling within the speed limit he can reach on time because he has to travel only 20 miles which is possible and it won't take him 1 hour according to the 30 mph speed limit.
Choose the student who combined like terms correctly to write an equivalent expression. 5 + C + C + C -4. Melvin's work Sabrina's work Sudesha's work Zisel's work 5 + C + C + C - 4 5 + C + C + C-4 O 5 + C + C + C - 4 5+ C + C + C - 4 = 90 = 30 +1 = 4c = c + 1
Answer:
Sabrinas work
Step-by-step explanation:
5+c+c+c-4
5+3c-4
=3c+1
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
hey man. do me a favor and solve . thanx man
Answer:
16964.6
Step-by-step explanation:
V=3.14×r2×h r is half remember!
Cuál es el mayor número que cumple con todas las siguientes condiciones? Es menor que 1.000.000, todas sus cifras son números pares y solo el 8 está repetido una vez y termina en 22.
Answer:
El mayor número que cumple con las condiciones dadas es 866.622.
Step-by-step explanation:
Para determinar cuál es el mayor número que es menor que 1.000.000, todas sus cifras son números pares y solo el 8 está repetido una vez y termina en 22, se deben realizar los siguientes razonamientos lógicos:
1) Menor que 1.000.000 = Todos los números desde 0 hasta 999.999.
2)Todas sus cifras son números pares = No puede incluir los número 1, 3, 5, 7 o 9.
3) El 8 (mayor número par disponible) solo está repetido una vez = Debe iniciar con 8.
4) Termina en 22 = 8XX.X22
Con todos los datos planteados, el mayor número que cumple con las condiciones dadas es 866.622.
Ellen needs new socks. Her mother can buy a package of 6 pairs of socks for $3.25 or a package of 9 pairs for $4.75. Which is the better buy?
Answer:
9 pairs for $4.75
Step-by-step explanation:
Given data
6 pairs of socks for $3.25
unit cost
=3.25/6
=$0.54 per pair
9 pairs for $4.75
unit cost
=4.75/9
=$0.53 per pair
Option B is the better buy
suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?
a) short leg = 5; long leg = 5 √2
b) short and long leg = 5 √2
c) short leg = 5; long leg = 5 √3
d) short leg = 5; long leg =8
Answer:
option c
Step-by-step explanation:
The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.
⇒ sin 30 = p/h
⇒ 1/2 = p/10
⇒ p = 10/2
⇒ p = 5
Using Cosine now ,
⇒ cos 30° = b/h
⇒ √3/2 = b/10
⇒ b = √3/2 × 10
⇒ b = 5√3
Short leg = 5Long leg = 5√3 Hence option C is correct.Answer:
c) short leg = 5; long leg = 5 √3
Step-by-step explanation:
How long are the other sides?
short leg = 5; long leg = 5 √3
which hemisphere is tilted towards the sun in december?!
Answer:
Northern Hemisphere
Step-by-step explanation:
The tilt's orientation with respect to space does not change during the year; thus, the Northern Hemisphere is tilted toward the sun in June and away from the sun in December, as illustrated in the graphic below.
Answer:
ThThe southern hemisphere
Step-by-step explanation:
help!! please if you can
Answer:
Answer 3
Step-by-step explanation:
Hits the 80 mark, meaning it would be divisible by 6, and starts at positive 20.
Hope this helps
14476 as a percentage
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
Which of the following angles is not coterminal with the other three?
a.–197º
b.17º
c.523º
d.163º
9514 1404 393
Answer:
b. 17°
Step-by-step explanation:
All of the angles are 2nd-quadrant angles except 17°, which is a 1st-quadrant angle.
17° is the odd angle
__
When you compute ...
mod(angle, 360), you get 163, 17, 163, 163.
What is the equation of the circle shown?
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
Hailey invested $95,000 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 % compounded continuously. Brooklyn invested $95,000 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded monthly. After 10 years, how much more money would Hailey have in her account than Brooklyn, to the nearest dollar?
Answer:12220
Step-by-step explanation:
F1.8
19.
Sam has a cylindrical fish tank with
an open top. The tank has height
30cm and radius 20cm. What is the
total surface area of the tank?
Answer:
area of cylinder =2πrh+2πrsqr
=2×22/7×20×30+2×22/7×20×20
=26400/7+17600/7
=44000/7
=6285.714cm
Answer:
5024 cm²Step-by-step explanation:
Total surface area includes one base only as it is open top
S = πr² + 2πrhS = 3.14*20² + 2*3.14*20*30 = 5024 cm²HELPPPPP PLSSSS. I’m in need of help ;-;
Answer:
B is the correct answer
Step-by-step explanation:
Simple algebra.
Find the area by multiplying the sides and divide by 2 since, the question asks for half a sail.
What is the mode interval for the histogram? 50 - 59 90 - 100 80 - 89 10
Answer:
mode = 90 - 100Step-by-step explanation:
because ( 90 - 100 ) frequency is greater than all other intervals.
The mode interval for the histogram is (90 - 100).
Option B is the correct answer.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
Mode interval in a histogram is the interval in which the values of the data occur the most.
Now,
From the histogram, we see that,
The interval (90 - 100) has the most date values.
Thus,
The mode interval is (90- 100).
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Helppppppp
14. Rob uses free weights at the gym every 3 days and he uses the weight machines every 5 days.
Today Rob used both free weights and the weight machines. How many days will it be before he uses
both kinds of weights on the same day again?
Answer:
15 days
Step-by-step explanation:
Since he used both of the weights today, he will only do both on the day they come together.
weights: 3 days, 6 days, 9 days, 12 days, 15 days
machine: 5 days, 10 days, 15 days
Because the numbers both were the same on 15 days, then that is when he will do both of them
help pleaseeeeeeeeee
Answer:
non of these choices I guess
Please help and no links please
Answer:
sorry i can't clear
Carla faz sua salada de frutas para vender .Hoje ela comprou 3kg de laranja 2,5 kg de banana e 2,5kg de maçã e 1,8kg de mamão No total ,quantos quilogramas de fruta Carla comprou hoje ?
Answer:
9,8 kg
Step-by-step explanation:
3 kg + 2,5 kg + 2,5 kg + 1,8 kg = 9,8 kg
Answer: 9,8 kg
Evaluate -2(|2|-(-3)(-4))
He temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to find the middle temperature of the week? A. mean B. median
Answer: Median
Step-by-step explanation: The median is the middle number.
(also i'll give the definitions of mean, mode, and range in case you need it)
Mean - average
Mode - the value that appears the most
Range - The largest value subtracted by the smallest value
Answer:
Median is the answer
Step-by-step explanation: 100%
Please I need the answer and no links answers for both!!