Answer:
x = -20
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4 2x + 8
2x+14 + 2x + 20 - 2 = x + 4 + 2x + 8
4x +32 = 3x + 12
x = -20
Scientists are preparing two satellites to be launched. The equation y = 8000.C represents the number of miles, y, that the satellite, Space Explorer B, flies in hours. The satellite, Space Explorer A, flies 24000 miles in 20 hours. How much faster does Space Explorer B travel per hour than Space Explorer A?
Answer: 6800
Step-by-step explanation:
24000 divided into 20
8000-1200
The rate of speed is the rate at which the total distance is traveled in the time taken.
The Space Explorer B travel 6.67 times faster than Space Explorer A.
What is rate of speed?
The rate of speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, [tex]d[/tex] is the distance traveled by the object and [tex]t[/tex] is time taken but the object to cover that distance.
Given information-
The equation given in the problem is,
[tex]y=8000[/tex]
Here, [tex]y[/tex] represented the number of miles that the satellite, Space Explorer B, flies in hours.
The satellite, Space Explorer A, flies 24000 miles in 20 hours.
The speed of the Space Explorer A, which flies 24000 miles in 20 hours is,
[tex]s=\dfrac{24000}{20}\\s=1200[/tex]
Thus the Space Explorer A, travels 1200 miles per hour.
As the Space Explorer B, travel is 8000 miles per hour and the Space Explorer A, travels 1200 miles per hour. Thus the ratio of the speed of both is,
[tex]d=\dfrac{8000}{1200} \\d=6.67[/tex]
Thus the Space Explorer B travel 6.67 times faster than Space Explorer A.
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la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?
Answer:
24cm, 36cm y 48cm
Step-by-step explanation:
Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.
(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)
a person has 80 followers on social media. The number of followers tripled each year. How many followers will she have after 4 years. Explain your answer
I was wrong sorry:(
the second one is correct
Answer:
6,480 followers
Step-by-step explanation:
1 year = 80(3) = 240
2 years = 240(3) = 720
3 years = 720(3) = 2,160
4 years = 2,160(3) = 6,480
Help please in 14,15,16,17,18,19,20,21
What is 3/4 + 4/5 + 5/6
The Answer is...
143 over 60
(Decimal: 2.38333)
A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location?
Answer:
69.46 km
Step-by-step explanation:
Just did on Edge 2020
The distance of the plane from its original location is 69.46 km
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Formula of Pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
According to the question
A plane flies 35 km in the direction N 30° W,
and then flies 60 km in the direction N 60° E
i.e
When we plot its figure
we will observe it will form a right angled triangle
with perpendicular = 35 km , Base = 60 km
and Hypotenuse = distance form original location to current location
Now,
By using the formula of Pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse² = 35² + 60²
Hypotenuse² = 4825
Hypotenuse = 69.46 km
Hence, the distance of the plane from its original location is 69.46 km.
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don leaves home 2pm. he drives 45 miles from home in the first hour
Answer:
if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm
Step-by-step explanation:
the sum of two numbers is 100 and their difference is 80, what are the two numbers
Answer:
The numbers are 90 and 10.
Step-by-step explanation:
Let the two numbers are x and y.
It has been given that sum of two numbers is 100. Hence, we have the equation,
x + y = 100 .........(i)
Now, the difference of these two numbers is 80. Thus, second equation is
x - y = 180......(ii)
Add equation (i) and (ii)
x + y + x - y = 100 + 80
2x = 180
Divide both sides by 2
x = 90
Substitute this value in (i)
90 + y = 100
y = 100- 90
y = 10
Therefore, the numbers are 90 and 10.
#Learn More:
The sum of two numbers is 450 and the smaller number is 120. What is the product?
Step-by-step explanation:
90 and 10Find the value of x that makes m ∥ n .
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
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What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
pls help:( this is due by the end of the day!! 16 points!
Answer:
P=90
q=122
Step-by-step explanation:
Your family buys tickets for the Ranger game. Each ticket costs $16. You also have to pay for parking. After buying 4 tickets, your total bill is $96.50.
a) How much did you pay for parking?
b) Write an equation that gives your total bill (in dollars) as a function of the number of tickets you buy. Be sure to define your variables!
c) How many tickets could you buy with $250 if you also have to pay for parking?
Part (a)
Answer: $32.50
--------------------
Work Shown:
Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.
The total bill was $96.50
This leaves 96.50-64 = 32.50 for parking.
======================================================
Part (b)
Answer: y = 16x+32.50
--------------------
Work Shown:
x = number of tickets
y = total bill (in dollars)
1 ticket costs 16 dollars
x tickets cost 16x dollars since we multiply both values by x
Add on the cost of parking to get a total bill of y = 16x+32.50
======================================================
Part (c)
Answer: at most 13 tickets
In other words, 13 is the max you can get.
--------------------
Work Shown:
Plug y = 250 into the equation found back in part (b). Solve for x
We'll follow PEMDAS in reverse to isolate x
y = 16x+32.50
250 = 16x+32.50
16x+32.50 = 250
16x = 250-32.50
16x = 217.5
x = 217.5/16
x = 13.59375
Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.
x = 13 is the answer we're after.
If we plug in x = 13, we get
y = 16x+32.50 = 16*13+32.50 = 240.5
while x = 14 leads to
y = 16x+32.50 = 16*14+32.50 = 256.5
The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.
a) The parking fee is $32.50.
b) The equation is T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
We have,
a)
Total bill - Cost of tickets = Parking fee
$96.50 - ($16 * 4) = Parking fee
$96.50 - $64 = Parking fee
Parking fee = $32.50
b)
Total bill = T
Number of tickets = N
The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:
T(N) = 16N + Parking fee
c)
T(N) = 16N + Parking fee
Substituting the given values:
$250 = 16N + Parking fee
$250 = 16N + $32.50
$250 - $32.50 = 16N
$217.5/16 = N
N ≈ $13.6
Thus,
a) $32.50
b) T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
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Solve for x in the triangle. You must show your starting equation and all work. Then calculate the value of each angle in the triangle.
Answer: x = 59
Step-by-step explanation:
I’m confused on this question. Can anybody help?
Answer:
I believe the answer is 90
Step-by-step explanation:
Answer:
90 degrees
Step-by-step explanation:
Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.
Simplified fraction 8 (5/6) =
hi
technique is to decompose both part of the fraction ( in prime numbers if possible )
8 * 5/6 = 2*4*5 / 3*2 = 20/3
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW
Answer:
y = 5
x = 14
Step-by-step explanation:
AOC=25
AOL=90
Therefore COL = 65
COM is a 90 degree angle since MOD is 90 degrees
COM - COL = 90 - 65 = 25
5y = 25
y=5
LOB = 90
5y + 3x + 23 = 90
5(5) + 3x +23 = 90
25 + 3x + 23 = 90
48 + 3x = 90
3x= 90 - 48
3x = 42
x= 14
Answer:
x = 14, y = 5
Step-by-step explanation:
MOB = LOC
(3x + 23) + 25 = 90
3x + 23 = 65
3x = 42
x = 14
3(14)+23 + 5y = 90°
5y = 25
y = 5
Test your PEMDAS
6+8/2(2+2)
This one is tricky
Answer:
6+8÷2×4
6+16
=22
Step-by-step explanation:
add the numbers
calculate the new expression
add the numbers
Answer: hint use pemdas
Step-by-step explanation:
2 + 3x²y - 1⁄2y + y - 1
Answer:
3x²y+0.5y+1
Step-by-step explanation:
2+3x²y -0.5y+y -1
2 and -1 is 1
-0.5y and +y is +0.5y so the answer is...
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
Its C
Step-by-step explanation:
Select a symbol to compare the numbers
i need the solution to 5x+2y=7 and 7x+6y=-3
Answer:
1. x=7/5-2y/5
2. x = − 8 √ 3 ( − 1 − 2 y )
Step-by-step explanation:
i did it
Use the formula to find the midpoint between a segment with endpoints
(0,5) and (-4, 6). *
Answer:
Step-by-step explanation:
(x₁ ,y₁) = (0 , 5) & (x₂, y₂) = (-4 , 6)
[tex]Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\[/tex]
[tex]= (\frac{0 - 4}{2} , \frac{5+6}{2}) \\\\= (\frac{-4}{2} , \frac{11}{2})\\\\=(-2 , 5.5)[/tex]
The mid-point is the average of the respective values for x and y.
So, the formula for the mid-point would be: [tex](\frac{x_{2} + x_{1}}{2}, \frac{y_{2} + y_{1}}{2})[/tex]
So for your problem this would be:[tex](\frac{-4}{2}, \frac{11}{2})[/tex]
So the final answer would be: [tex](-2, 5.5)[/tex]
Give reasons for why it is isosceles
Answer:
because two angles are equal
Help I reward you the Brainlyest
Answer:
(0, -7), (7/5, 0)
Step-by-step explanation:
rearrange your equation to look like y = mx+b where b is the y-intercept
y-3 = 5(x-2) distribute
y-3 = 5x-10 add 3 to both sides
y = 5x -10 +3 combine like terms
y= 5x-7 so
y-intercept is at ( 0, -7)
to find x-intercept make 5x-7=0 and solve for x
5x-7 = 0 add 7 to both sides
5x = 7 divide both sides by 5
x=7/5 or 1.4
x-intercept is (7/5, 0)
(−12)⋅(−12)⋅(−12)
lkndslnfkdsbdf
Answer:
-1728
Step-by-step explanation:
First, you multiply -12 and -12 which is 144
After that multiply 144 by -12 which is -1728
Answer: -1728
Hope this helps!
Answer:
-1728
Step-by-step explanation:
What is the absolute value of 2.8?
Answer:
2.8
Step-by-step explanation:
It is the same
The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?
a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz
Answer:
B. 12.96
Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.
Answer:12.69
Step-by-step explanation:
7.2 pounds + 80% =
12.96 pounds im telling you
Emilio drew a line that is modeled by the equation y-4=3(x-2) what is the slope of the line?
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
£80
Step-by-step explanation:
If there are 5 days in a work week, and he earns £400 for the whole week, you would divide £400 by 5. You get 80, so Dan earns £80 each day.
Answer:
£80
Step-by-step explanation:
divide £400 by 5
400/5 = 80