Answer:
55 = 5x
Step-by-step explanation:
Sadie had 55 stickers. Each day she gave away 5 stickers to her friends.
Write an equation to model this situation in the form y = mx + b, but do not
include any spaces in your answers. (for example y=6x+1)
Equation to model this situation in the form y = mx + b,
y = Total number of stickers she had
x = Number of days that she gave away sticker
b = Fixed value = 0
Hence:
55 = 5x + b
b = Fixed value = 0
Therefore, the situation is represented as:
55 = 5x
Han's house is 450 meters from school. Lin's house is 135 meters closer to school. how far is Lin's house from school
Answer:
315 meters
Step-by-step explanation:
450-135=315
Answer: 315
Mark me brainliest please
Step-by-step explanation:
450-135= 315
NEED HELP ASAP!!
Lisa and Cory are having a debate about gravitation. Lisa says that the astronauts in that international Space Station (which is a distance of about 6800 km from Earth’s center) are too far away from Earth to experience Earth’s gravitational pull, and that is why they float. Cory insists that Lisa is incorrect. Which of them is correct in their statement, and why?
Answer:
Only Cory is correct
Step-by-step explanation:
The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;
[tex]F =G\times \dfrac{M \cdot m}{r^{2}}[/tex]
Where;
G = The universal gravitational constant
M = The mass of one object
m = The mass of the other object
r = The distance between the centers of the two objects
For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km
Therefore, for an astronaut in the international Space Station, r = 6,800 km
The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;
[tex]\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14[/tex]
∴ F₁ ≈ 1.14 × F₂
F₂ ≈ 0.8778 × F₁
Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth
However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity
Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.
Do ACT score reports come in the mail?
Answer: Yes
Step-by-step explanation:
They usually come in three months after you take the test. I think I got mine in the middle of May.
X + 45 = 97
x + 100 = 135
x + 1,423 = 1,754
X=
X=
X=
X =
X =
Answer:
1) x= 52
2) x= 35
3) x= 331
Step-by-step explanation:
An acting school claims that 71% of its graduates land major acting roles within one year of graduation. A random sample of 50 graduates was surveyed, and 30 of them had landed major roles within one year of graduation. Let p hat = the proportion of the sample who had landed major roles within one year of graduation.
The probability that 60% or fewer graduates land a major acting role within one year of graduating from this school is 0.043. Does this result provide convincing evidence against the school’s claim?
A. Yes, it is expected that at least 60 graduates from this school will land a major role within one year of graduation.
B. Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely (0.043 < 0.05).
C. No, the difference between the sample proportion and the parameter is 11%, which is greater than 5%.
D. No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.043 < 0.05).
Answer:
B
Step-by-step explanation:
EDGE2021!! since the actual probability is smaller than .05, we have evidence against the acting school claiming that 71% of its graduates land major acting roles within one year of graduation.
Plz Help Its Math and very confusing! (Btw this is her lil sister alexis!) Don't tell her i don't have this link so i use her brainly???
Answer:
Step-by-step explanation:
Round the ratio 4:8
to 5 then divide (/), =51
dvd: $15; 35% markup
Answer:
35% of 15=35/100×15=21/4=5.25
Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?
Answer:
2n^2 + n + 4.
Step-by-step explanation:
7, 14, 25, 40, 59
The differences are 7, 11, 15, 19 which is arithmetic sequence so the given sequence is quadratic.
Compile a table:
n 1 2 3 4 5
term 7 14 25 40 59
Diff: 7 11 15 19
Diff: 4 4 4 - this indicates that first part is 2n^2.
2n^2 2 8 18 32 50
term-2n^2 5 6 7 8 9
- the nth term for the last sequence is 5+ (n - 1)d =
= 5 + (n - 1)* 1
= n + 4.
So nth term for the original sequence is 2n^2 + n + 4.
The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.
Answer:
[tex]y = x^{2} + 3x + 1[/tex]
Step-by-step explanation:
Perimeter equals the sum of the lengths of the sides.
Let y = the length of the fourth side
[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]
[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]
[tex]x^{2} + 3x + 1 = y[/tex]
Which expression has a solution of 6, if r=4
r+2
Explanation:
because if we add 2 to r which is equal to 4 we can get 6
please help.[tex]\frac{4}{x+2} +\frac{8}{x+5} -\frac{8}{x+3} -\frac{4}{x+6}[/tex]
14. Write the equation in slope-intercept form that passes through the two points.
(1, 2) and (3,-8)
Answer: y=5x+7
Step-by-step explanation:
If you draw a graph or use a graphing calculator the points and then connect them you will see that the y-intercept is 7 and the slope is 5/1. Slope intercpt form is y=mx+b. So the equation is y=5x+7.
Answer:
let (x1,y1)=(1, 2)
and(x2,y2)=(3,-8)
Step-by-step explanation:
we have
y-y1=(y2-y1)(x-x1)/(x2-x1)
y-2=(-8-2)(x-1)/(3-1)
y-2=-10(x-1)/2
y-2=-5(x-1)
y-2=-5x--5
y+5x=5+2
5x+y=7 is the required equation.note :-×-=+
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
PLEASE HELP, I need this test done and something not failed. I dont understand.
Answer:
XVW and WVT
Step-by-step explanation:
Two angles are supplementary angles when the sum of their measures is equaled to 180 degrees.
180 degrees = a line.
YVZ and WVU are Vertical Angles
YVZ and ZVT are not straight lines together.
XVW and WVU are on the same straight line but you have to add UVT in order to get 180.
XVW and WVT are the only ones that look like they can add up to 180 degrees.
XVW and WVT should be the answer, I really hope this helps!
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?
Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
solve this problem. -16r=272
Answer:
-17
Step-by-step explanation:
-16r=272
16r=-272
r=-17
Answer:
r=(-17)
Step-by-step explanation:
-16r=272
/-16 /-16
r=(-17)
A racecar driver completes a race 30 laps in 15 minutes at a constant speed. what is the driver's speed?
Answer:
200 mph/321 km/h if the track is 1 mile long and 100 mph/160 km/h if the track is 2 miles long
Step-by-step explanation:
Sarah has some chocolates.
24 are white chocolate.
16 are milk chocolate.
8 are dark chocolate.
Write down the ratio of white chocolate to dark chocolate. Give your ratio in it’s simplest form.
Is the function represented by the table non-linear?
х
у
6
4
7
2
8
0
9
-2
Answer:
the top answer
Step-by-step explanation:
Ricardo bought $46.23 worth of groceries and paid with a $100 bill. How much change did he receive?
Answer:
Step-by-step explanation:
You will need to subtract the amount paid from the total amount
100 - 46.23
= 53.77
Ricardo will receive $53.77 in change. :)
Tory read her book and rate of 4/5 of a chapter her 2/3 of an hour. How many chapters can she read in one hour
Answer: She can read 1.2 chapters of her book in one hour.
Step-by-step explanation:
When we have a relation of: "doing something" in a given "amount of time"
The rate at which you can do that activity per unit of time is:
R = (how much you did)/(time it took)
In this case, we know that
"Tory reads 4/5 of a chapter in 2/3 of an hour"
Then the rate, in this case, could be calculated as:
R = (4/5 chapters)/(2/3 hour) = 1.2 chapter per hour.
This means she can read 1.2 chapters of her book in one hour.
In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios
Given:
In a right angled triangle ABC the perpendicular and the base measure 3 cm.
To find:
The hypotenuse and three trigonometric ratios.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Use Pythagoras theorem in triangle ABC.
[tex]Hypotenuse^2=(3)^2+(3)^2[/tex]
[tex]Hypotenuse^2=9+9[/tex]
[tex]Hypotenuse=\sqrt{18}[/tex]
[tex]Hypotenuse=3\sqrt{2}[/tex]
The three trigonometric ratios are
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\sin \theta=\dfrac{1}{\sqrt{2}}[/tex]
Similarly,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{3}{3\sqrt{2}}[/tex]
[tex]\cos \theta=\dfrac{1}{\sqrt{2}}[/tex]
And,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan \theta=\dfrac{3}{3}[/tex]
[tex]\tan \theta=1[/tex]
Therefore, the hypotenuse is [tex]3\sqrt{2}[/tex] cm and three trigonometric ratios are [tex]\sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1[/tex].
89,000 divided into 100
Answer:
890
Step-by-step explanation:
Answer:
890
Step-by-step explanation:
Write an equation of the line that passes through the points (-6, -8) and (2, -8).
Y=
Answer:
I wanna say 8 if its.
y=8x+-8
If thats wrong im sorry
Answer:
8
Step-by-step explanation:
A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start-up fee and monthly charge) to use the
cell phone plan for 3 months? *
O $150
$200
O $350
$750
Answer:
750
Step-by-step explanation:
200+50=250
250x3+750
Mayra bought x grams of rice.
Anika bought 5
more than Mayra bought.
Select ALL of the equations that represent the relationship
between the amount of rice that Mayra bought, x, and the
amount of rice that Anika bought, y.
(Select all that apply)
Answer:
[tex]y = 5 + x[/tex]
[tex]y - x = 5[/tex]
[tex]x = y - 5[/tex]
Step-by-step explanation:
No options were given but the question can still be solved
Given
From the first statement, we have:
[tex]Maria = x[/tex]
From the second, we have:
[tex]Anika = 5\ more[/tex]
Required
Determine the relationship between the amount of rice they bought
5 more means 5 + Maria.
So, [tex]Anika = 5\ more[/tex] becomes
[tex]Anika = 5 + Maria[/tex]
Substitute x for Maria
[tex]Anika = 5 + x[/tex]
For proper expression, let Anika be y
[tex]y = 5 + x[/tex]
Subtract x from both sides
[tex]y - x = 5[/tex]
Make x the subject
[tex]x = y - 5[/tex]
plz help ill give brainliest for best answers
Answer:
The least they will have to pay is 235 dollars.
They will have to pay 15 more dollars next year. (250 dollars)
Step-by-step explanation:
25x3=75
40x4=160
75+160=235
25x2=50
40x5=200
50+200=250
how many solutions does 3(x+1)=-3x+3 have
one solution
no solution
many solutions
Answer:
one solution
Step-by-step explanation:
3x + 3 = -3x + 3
6x + 3 = 3
6x = 0
x = 0
What is the value of the expression 22 + 62 ÷ 22? (1 point)
Answer: 22+62÷22
22+2.8181
24.8181
So 22+62÷22 is about 24.8181
hope this helps have a nice day❤️❤️❤️
Step-by-step explanation:
Answer:
22.73
Step-by-step explanation:
22+62=84
84/22=22.7380952381
Can somebody plz help answer these questions correclty (like what the letters=) thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
6. p = 4
7. m = 7
8. n = 13
9. z = 5
10. x = 4
11. y = 9
Step-by-step explanation:
You can divide the solution by the number next to the letters/variables.
For example, to find 9p = 36 you can do 36 ÷ 9 which equals 4.
To double check, you can multiply your quotient by the divisor.
So to check if p = 4, you can do 9 x 4 which equals 36, therefore it is the solution.