Answer:
After 74 minutes of driving, he still has 32.5 miles to his destination.
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁)
Now let's go to the question.
We know that the distance to his destination is a linear function of his total driving time.
We know that he has 55 miles to his destination after 44 minutes of driving. We can write this as the point (44 min, 55mi)
We know that he has 41.5 miles to his destination after 62 minutes of driving, we can write this as (62 min, 41.5mi)
Then the slope of this equation will be:
a = (41.5mi - 55mi)/(62min - 44min) = -0.75 mi/min.
Then the linear equation is something like:
y = (-0.75 mi/min)*x + b
to find the value of b we can use the fact that this line passes through the point (44 min, 55mi)
This means that when x = 44 min, we must have y = 55mi
Then:
55mi = (-0.75 mi/min)*44min + b
55mi + (0.75 mi/min)*44min = b
88mi = b
Then the equation is:
y = (-0.75 mi/min)*x + 88mi
Now we want to know how many miles will he have to his destination after 74 minutes of driving, then we need to replace x by 74 min.
y = (-0.75 mi/min)*74min + 88mi
y = 32.5mi
After 74 minutes of driving, he still has 32.5 miles to his destination.
I need some help with this question
complete the table of values for x + y=6
Answer:
x=3 + y=3 =6
Step-by-step explanation:
first you have to find out what can equal 6 and 3 plus 3 equals 6 so that's your answer
Answer:
See table below
Step-by-step explanation:
(0,6) (1,5) (2,4) (3,3) (4,2) (5,1) (6,0)
ADE
See your levels
()) Luca has already baked 17 pies, and he can bake 4 pies with each additional cup of
sugar he buys. How many additional cups of sugar does Luca need in order to bake a total
of 45 pies?
additional cups of sugar
Submit
Answer:
7 cups of sugar
Step-by-step explanation:
Find out how many pies Luca need to bake left =
45 - 17 = 28
1 cup of sugar = 4 pies
28 ÷ 4 = 7 cups of sugar
This may be wrong as this was rushed as I have to go for my next class now.
PLEASE HELPPPP I WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
A 7 kg ball is push with a force of 28. What s the acceleration?
Calculate the mean, median, mode, and range for (1, 2, 5, 6, 1, 6, 7)
Answer:
Mean
4
Median
5
Mode
1, 6
Range
6
Step-by-step explanation:
Salute.
23, 69, 207 7th term
Answer:
16767
Step-by-step explanation:
Each new term is found by multiplying the previous term by 3. Thus, 3 is the common ratio. The formula for this geometric series is therefore
a(n) = 23*3^(n - 1).
The 7th term is a(7) = 23*3^6 = 16767
1 question Plus brainliest help fast and I will add you too please please help
Answer:
its C
Step-by-step explanation:
Answer: C is the correct answer
Step-by-step explanation:
Pancho ordered a set of green and blue pencils. He
received 80 pencils, and 61% of them were blue.
About how many blue pencils did Pancho receive?
A gardener is planning to build a flower bed with two equally-sized sections. The gardener will use a total of 36 feet of wood to surround both sections of the flower bed. The diagram shows the flower bed. create an equation to represent this situation.
Answer:
The equation representing the situation is;
36 = 3·y + 4·x
Step-by-step explanation:
The structures the gardener is planning to build = Equally-sized sections of flower bed
The length of wood the gardener has to surround both gardens = 36 feet
The perimeter of the entire garden, P = 2·y + 2 × 2·x
The length of the wood separating the two gardens = The length of the side 'y'
The perimeter of the garden and the length of the fence separating the two gardens = P + y = 2·y + 2 × 2·x + y = 3·y + 4·x
Therefore the length of wood available, 36 feet, will be used for a length equivalent to P + y
∴ 36 = P + y = 3·y + 4·x
∴ 36 = 3·y + 4·x
The equation representing the situation is 36 = 3·y + 4·x.
Factor the following polynomial 5x^2 + x
Hi
5x²+x = x ( 5x +1)
Answer:
(5+1)
Step-by-step explanation:
oooooooooooohhhhhhhhhhhh aaaaaaaaaaaaaaahhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
thats bustin bustin
Step-by-step explanation:
PLSSS HELP MEEEE OH NOOOOOOO
Points A, B and C lie on a straight line.
BC is 50% longer than AB.
A (1 , 3)
C (11 , 18)
Work out the coordinates of B.
giving 25 points + brainliest if its correct
pic is attached
no links or fake answers pls
Answer:
Step-by-step explanation:
1 : 2 = 3 : 6
6 parts vinegar
Social Studies is 90
Language Arts is 94
Social Studies : Language Arts
4.5 × 50 = 225 miles
correct answer gets brainliest
Answer:
Its the first one
Two or more terms in a variable expression that have the same variable factors
Step-by-step explanation:
Find an angle Theta with 0° < 0 < 360° that has the same:
Sine as 50°: theta =
degrees
Cosine as 50°: theta =
degrees
Answer:
1) θ = 130°
2) θ = 310°
Step-by-step explanation:
We want to find a value of θ such that:
sin(θ) = sin(50°)
We know that sin(90°) = 1
We will have a symmetry around 90°.
Then if we define a constant k
sin(90° + k) = sin(90° - k)
we can define k such that:
90° - k = 50°
90° - 50° = k
40° = k
Then:
sin(90° + 40°) = sin(90° - 40°)
sin(130°) = sin(50°)
then θ = 130°
Now we want to find:
cos(θ) = cos(50°)
We know that cos(0°) = 1
Then we have symmetry around 0°
With the same reasoning than before, we can write:
cos( 0° + k) = cos(0° - k)
We can define:
0° + k = 50°
k = 50°
Then:
cos(50°) = cos(-50°)
But we want 0° < θ < 360°
Knowing that the peridisity of the trigonometric functions is of 360° then:
cos(50°) = cos(-50°) = cos( - 50° + 360°)
cos(50°) = cos(310°)
in this case θ = 310°
Tonys backyard is in the shape of a trapezoid the bases of the backyard or 30 feet and 50 feet long area of the backyard is 960 ft.² sold in equation to find the height of Christophers backyard A=12(b1+b2)h
Answer:
24 feets
Step-by-step explanation:
Area of a trapezium :
A=1/2(b1+b2)h
b1 = 30 ; b2 = 50 ; Area, A = 960ft²
Inputting values into the formula :
960 = 1/2(30 + 50) * h
960 = 1/2(80)h
960 * 2 = 80h
1920 = 80h
Divide both sides by 80
1920 / 80 = 80h / 80
24 = h
Height of backyard = 24 feets
Determine the value of a so that the following system has no solution.
ax+5y=10
6x+2y=7
HURRY PLSSSS
Answer:
z
Step-by-step explanation:
help plsss!!! i just need to know a,b,c or d
Answer:
THE ANSWER IS 8 OPTION B
MARK ME AS BRAINLIEST
mn-2021=m+n find |m-n|
Answer: this makes no sense-
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
64+67+×=180
×=180‐131
×=49 degree
Find the sum of the first 47 terms of the following series, to the nearest integer.
12, 16. 20. ...
Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ][/tex]
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
[tex]S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888[/tex]
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888
Suppose a triangle with the vertices A(-7, -8), B (-4,6)
and C (-8,5) was rotated 270 degrees counterclockwise
about the origin. Label and list all the vertices.
A A' (-8, 7), B' (6,4), C' (5,8)
B A' (8,-7), B' (-6,-4), C'(-5, -8)
A' (7,8), B’ (4, -6), C' (8, –5)
D A' (-7,8), B' (-4,-6), C'(-8,-5)
please help
Answer:
b
Step-by-step explanation:
help its due rn plzzz
Answer:
x = 2.65, -2.65
Step-by-step explanation:
x² = 7
[tex]x =[/tex] ± [tex]\sqrt{7}[/tex]
or x = 2.64575131.., -2.64575131...
A piece of blue yarn is 7 7 8 yards long. A piece of pink yarn is 6 times as long as the blue yarn. How much longer is the pink yarn than the blue yarn?
Answer:
4668
Step-by-step explanation:
you would just multiply 778 by 6
778*6=4668
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.084°C.
P(Z>-0.084)
Answer:
0.53347
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = -0.084 °C
μ is the population mean = 0 °C
σ is the population standard deviation = 1°C
Z score =x - μ/σ
= -0.084 - 0/1
= -0.084
Probability value from Z-Table:
P(x<-0.084) = 0.46653
P(x>-0.084) = 1 - P(x<-0.084) = 0.53347
The probability of obtaining a reading greater than -0.084°C = P(x > -0.084) =
is 0.53347
Is this right? Please help me
What is the scale factor
Answer:
The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.
Step-by-step explanation:
AD is 9 units long
A’D’ is 3 units long.
Scale factor is A’D’ / AD
Scale factor = 3/9 = 1/3
Which of these is NOT an example of lateral surface area? A. The label of a soup can. B. Painting the walls of your bedroom. C. The paper wrapper of an ice cream cone. D. The air in a basketball
Answer:
I think it is D because it's just gas
Step-by-step explanation:
