Answer:
slope = 29
Step-by-step explanation:
Given that
the ordered pairs for this relationship are (gallons, distance)
it means on coordinate plane
x represents gallons
y represents distance
thus,
two point on plane will be
A car traveled 261 miles on 9 gallons of gas
miles = 261 ---let it be represented by x1
gallons = 9---let it be represented by y1
(x1,y1) = (9,261)
miles = 145 ---let it be represented by x2
gallons = 5---let it be represented by y2
(x2,y2) = (5,145)
slope of two points (x1,y1) and (x2,y2) is given by
slope = m = (y2-y1)/(x2-x1)
thus, slope of the above ordered pair
m = (145-261)/(5-9) = -116/-4 = 29
Thus, slope of the line through these two ordered pairs is 29.
1. 37.8 x 14 = ______ x 14 - 2.9 x 14
2. The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Pls add explaination
Answer:
2
Step by step explanation:
Given: The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?
Find out: how many students were there in the class room after one student left
Solution: Let the total number of remaining student be= n
Let the total number of remaining student be= nAnd the sum of mass of all the students be = x kg
So,
[tex] \frac{x}{n + 1} = 35.1[/tex]
Make x the subject of formula
[tex]--› \: x = 35.1(n + 1)[/tex]
And
[tex]--› \: \frac{x - 32.3}{n} = 36.3[/tex]
[tex]--›x - 32.3= 36.3n[/tex]
[tex]--› \: 35.1(n + 1) - 32.3 = 36.3n[/tex]
[tex]--› \: 35.1n + 35.1 - 32.3 = 36.3n[/tex]
[tex]--› \: 2.8 = 1.2n[/tex]
divide both side by n
[tex]n = \frac{2.8}{1.2} [/tex]
N = 2.333
so total number of students remaining is 2
Given 2x - 3 = 7, what is the value of x?
Answer:
2x-3=7 /×3
2x=3+7
2x=10 /÷2
x=5
Answer:
Step-by-step explanation:
2x - 3 = 7 Add 3 to both sides
2x - 3+3 = 7 + 3 Combine
2x = 10 Divide by 2
2x/2 = 10/2 Combine
x = 5
These types of equations all follow the same pattern. The look like
ax + b = c You have to isolate the x so add b if b is minus or you subtract b if b is plus. Notice that b was minus in your question. So Add
Now you you have
ax = c - b That always happens. The x is isolated if you deal with b first. Now all you need to do is divide by a.
x = (c - b)/a
Try a couple
3x -4 = 5 The answer is 3
5x + 2 = 27 the answer is 5
A study on students drinking habits wants to determine the true average number of alcoholic drinks all uf underclassmen students have in a one week period. We know from preliminary studies that the standard deviation is around 2. 8. How many students should be sampled to be within 1. 5 drink of population mean with 90% probability?.
Answer: 16
Step-by-step explanation:
Standard deviation is 2
Margin error for the problem is 1
Probability 95%, that means thet the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
1 = 1.96 * 2/ √n
1 = 3.92 / √n
√n = 3.92
n = 3.92^2
n = 15.36 = 16
i hope this work for you
It took Rachel 4 hours to drive 214 miles from New York to
Boston. She drove the same number of miles each hour.
How many miles did Rachel drive each hour?
A 54.5mi
B 53.5mi
C 53.25mi
D 54.85mi
Answer:
53.5
Step-by-step explanation:
Answer:
she drove b 53.5 mi
Step-by-step explanation:
214 divided by 4
g=xcy ? Please help thanks
Answer:
x = g/cy
Step-by-step explanation:
To solve for x, we need to isolate it on one side of the equal sign algebraically. In this case, since  is being multiplied by  and  we can divide both sides by  and  to isolate 
someone answer this asap pls
Answer:
x=3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
How to find the angle measure x in the figures
Answer:
subtract 180 from the other two angles
Step-by-step explanation:
triangle involves 3 angles with x's in the equation, set the 3 angles = to 180 and solve
20x+6=y
19x+7=y
answer please
Step-by-step explanation:
what we trying to find the value of x and y
20x+6=y
x intercept,y=0
20x+6=0-6
20x/20=-6/20
×=-0.3
y intercept,x=0
20(0)+6=y
0+6=y
6=y
(-0.3,0)
19x+7=y
y intercept,x =0
19(0)+7=y
0+7=y
7=y
x intercept,y=0
19x+7=0-7
19x=-7
19x/19=-7/19
x=-0.37
Find the slope of the line
3. A(2,6), B(8,1)
5. N(-5,2), Q(1, -4)
Answer:
prosss the 5 with the diameter of it the ans will come
Step-by-step explanation:
use the formula of slope:
(y2-y1)/(x2-x1)
can some one help me - 4 a - 2 a = - 18
To solve algebraic equations, we must combine like terms and perform inverse operations on both sides of the equal sign to isolate the variable.
The inverse operation of addition is subtraction, and vice versa.The inverse operation of multiplication is division, and vice versa.Inverse operations help us cancel values out.
Solving the Question[tex]- 4 a - 2 a = - 18[/tex]
⇒ First, combine like terms:
[tex]- 6a = - 18[/tex]
⇒ a is being multiplied by -6. To isolate a, divide both sides by -6:
[tex]\dfrac{- 6a}{-6} = \dfrac{- 18}{-6}\\\\a=3[/tex]
Answera = 3
Answer:
a=3
Step-by-step explanation:
-4a-2a=-18
-6a= -18
Divide both sides by -6
-6a/-6=-18/-6
a=3
A box of chocolates contains four milk chocolates and five dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. What are the odds that both pieces were milk chocolate?( show explanation)
Answer:
1/6
Step-by-step explanation:
firstly the question is a probability without replacement because the chocolate are eaten after being picked .
next sum the total chocolate in the bag (4+5)=9
now probability is possible outcome over total outcome.
P(a)and p(b) =p(a)xp(b)
p(a)=4 /9
p(b)=3/8 ... because there will be 3 milk chocolate and 5dark chocolate left
hance P=(4/9)(3/8)
=1/6
PLEASE HELP IM STUCK AND TIMED
Which statements describe survivors of the Holocaust after the war? Choose two correct answers.
Many did not want to return to Germany or Poland.
Many moved to Russia to create Jewish communities.
Many created communities near the concentration camps.
Many survivors moved to other countries around the world.
Many created museums and memorials for those who had died.
Answer: A and C
Step-by-step explanation:
If the total amount of people serving as of January is estimated to be 1,400,000 people, how many are in the Air Force?
Air Force has 26% of people
Answer:
There are 364,000 people in the Air Force.
Step-by-step explanation:
Percentages
The N% of a number M is calculated by:
[tex]\displaystyle \frac{N*M}{100}[/tex]
For example, 15% of 280 is
[tex]\displaystyle \frac{15*280}{100}=42[/tex]
We know the total amount of people serving as of January is estimated to be 1,400,000 people and that 26% of them are serving in the Air Force.
Compute 26% of 1,400,000:
[tex]\displaystyle \frac{26*1,400,000}{100}=364,000[/tex]
There are 364,000 people in the Air Force.
if three arthmethic means are are inserted between -15 and 9,find the first of these arthmetic means.
Answer:
- 9
Step-by-step explanation:
We require
- 15 , m₁, m₂, m₃, 9
The average of the end values gives m₂ , that is
m₂ = [tex]\frac{-15+9}{2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Similarly, the average of - 15 and m₂ gives m₁
m₁ = [tex]\frac{-15-3}{2}[/tex] = [tex]\frac{-18}{2}[/tex] = - 9
The first arithmetic mean m₁ = - 9
Simplify 4.4
Please help me
Answer:
4
The dot in the middle simply means multiplication. 4.4 is 16. 16/4 is 4
Step-by-step explanation:
In this figure, triangle GHJ is similar to traingle PQR.
Based on this information, which ratio represents tan H?
A.17/8
B. 15/8
C. 8/15
D.8/17
Huong spent half of her weekly allowance on candy. Earn more money her parents let her wash the car for six dollars. What is her weekly allowance if she ended with $14?
Answer:
16
Step-by-step explanation:
At the Atlanta Zoo 45% of the people like snakes. If 117 people like snakes, how many people were at the zoo?
Answer choices:
120 people
130 people
200 people
260 people
Answer:
OK I'm just gonna guess this but I think its B. 130? Cuz honestly it makes the most sense.
Step-by-step explanation:
If it's wrong sorryyyy...
Need answer ASAP PLS
Answe: 3rd one
Step-by-step explanation:
Answer:
bottom right due to X being grater then 2 on the X-axis
1. The width of a rectangle is ten meters less than the length. The perimeter is 216 meters,
Find the length and width
Answer: Width = 49meters; Length = 59meters
Step-by-step explanation:
Let the width be represented by x
The length will be (x+10)
Perimeter = 2(length+breadth)
Perimeter= 2(x + x + 10)
Perimeter = 2(2x + 10)
216 = 4x + 20
4x = 216 -20
4x = 196
x = 196/4
x = 49
Width = 49meters
Length = x+10
Length = 49 + 10
Length = 59meters
How do the slopes of the line segments in Question 3 compare with one another? Based on your observations in Question 1 through 3 , what can you say about the relationship between a preimage and an image under a translation?
Answer:
All of the lines have an infinite slope because they are all vertical. They are all parallel lines. Under a translation, the corresponding points in an image and the preimage are connected by parallel paths of equal length.
Step-by-step explanation:
Answer:
All of the lines have an infinite slope because they are all vertical. They are all parallel lines. Under a translation, the corresponding points in an image and the preimage are connected by parallel paths of equal length.
Step-by-step explanation:
There were fifteen bales of hay in the barn and twenty - eight bales in the shed. Sam
stacked more bales in the barn today. There are now seventy-seven bales of hay in the
barn. How many bales did he store in the barn?
Answer:
62
Step-by-step explanation:
I 10. One day, Timmy works 4 hours and makes an additional $50 in tips. Another day, he works 6 hours and gets an additional $70 in tips. This makes his total earnings 4h + 50 - 6h + 70 - M, where M is the money he earns and h is the wage he makes per hour. If he makes $205, how much did he make as a salary per hour?
Pls help
Answer:
$8.50/h
Step-by-step explanation:
I am unsure of the - in the equation. This should be 4h+50+6h+70=M
then we would set the equation equal to the $205
205=4h+50+6h+70
if we simplify we have
205=10h+120
then we would get the h by itself and we get
205-120=10h
85.00=10h
85.00/10=10h/10
8.50=h
The total ages of Sarah, Jake and Matthew add up to 36. Jake is two years younger than Sarah and Matthew is 16 years younger than Sarah. If you let the variable
represent Sarah's age then which of the following would best represent the ages of:
Jake
and Matthew
O A. Jake: x + 4)
and Matthew: x-8)
OB Jake
x + 2
and Matthew: x - 16)
O Jake -2)
and Matthew: x - 16)
OD Jake: x+2
and Matthew: X16)
Next >
< Previous
go
D
DD
so
Answer:
Step-by-step explanation:
S+J+M=36
J=S-2 or J=x-2
M=S-16 or M=x-16
Answer:
Jake: x-2 and Matthew: x-16 (I think it is C on your sheet.)
Step-by-step explanation:
x = Sarah
x-2 = Jake
x-16 = Matthew
Algebra
In how many ways could a supervisor select a 4-person sales team from a group of 12 salesmen
and 8 saleswomen if the supervisor wants exactly 2 women on the team?
Answer:
[tex]1848 ways[/tex]
Step-by-step explanation:
[tex]=(12nCr2)(8nCr2)=(66)(28)=1848[/tex]
Hope this helps
During halftime of a basketball game, a slingshot launches T-shirts at the crowd. A teacher is launched from a height of 5 feet with an initial upward velocity of 72 ft./s. Use the equation h(t)=-16t^2+72t+5, where r is time in seconds and h(t) is height. How long Will it take the T-shirt to reach its maximum height? What is the maximum height?
Answer:
2.25 seconds, 86 feet.
Step-by-step explanation:
No idea where the r, second is, so I'm assuming that t is time in seconds.
Because this is a perfect parabola, we can find the zeroes (the places where the y value is 5, because that's where the teacher is launched from) and then get the middle of those 2 points.
First let's make the a term of this equation be positive so multiply everything by minus one.
16t^2-72t-5
After that, let's factor this (I won't go into details about this, you should already know how to do this if your asking this question)
we get t(t - 4.5) = 5
So the 2 x values are 0 and 4.5, and the whole flight time of the teacher is 4.5 seconds.
The half way between that is 2.25, and then we can plug that time back in to the equation to get a y value of 86.
please I need help !!! find the value of 5 if 5=1/4 (a+5) when a= -4
Hey there!
5 = 1/4(a + 5)
1/4(a + 5) = 5
1/4(-4 + 5) = 5
1/4(-4) + 1/4(5) = 5
1/4(-4) + 1/4(5)
= -1 + 5/4
= -1/1 + 5/4
= 1/4
1/4 ≠ 5
0.25 ≠ 5
Thus, your answer should most likely be: [FALSE] because the numbers are NOT equivalent to each other.
“a” should equal to “15”
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Factor completely 4x2 − 81. (1 point)
a
(4x − 9)(x + 9)
b
(2x + 9)(2x + 9)
c
(2x + 9)(2x − 9)
d
(2x − 9)(2x − 9)
Answer:
(2x-9)(2x+9)
Use the difference of square method. square root both sides and the answer has to be in postive and negative
What is the diameter of a circle that is 9m?
what is the circumfrence of a circle with a radius of 5 units
Answer: 31.42
Step-by-step explanation:
[tex]c = 2\pi \: r[/tex]
[tex]c = 2 \times 3.14 \times 5[/tex]
[tex]c = 31.4159[/tex]