A truck requires 1 gallon of gas to cover a distance of 10 miles. How many gallons of gas will it take to cover 200 miles?
Answer: 20
Step-by-step explanation:
Answer:
20 gal of gas
Step-by-step explanation:
200÷10=
20
The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot point the plane in order to fly straight W?
Answer: 24.2° SouthWest
Step-by-step explanation:
First step: DRAW A PICTURE of the vectors from head to tail (see image)
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
Perpendicular (x):
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
Angle (θ):
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
JK has endpoints at J(6,-1) and K(-3,-4). If M is the midpoint of JK, approximately what is JM ?
Answer:
midpoint of J and K = (3/2,-5/2) or (1.5,-2.5)
Step-by-step explanation:
midpoint formula: (((x+x1)/2),((y+y1)/2)))
in this case J(x1,y1), and K(x,y) where J = (6,-1), and K = (-3,-4).
so: (((-3+6)/2),((-4+-1)/2))) = (((3)/2),((-5)/2))) = (1.5,-2.5) or (3/2,-5/2)
Naron is 3 times older than his sister. In 2 years, Naron will be twice as old as his sister. How old is each now?
Answer:
A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.
Step-by-step explanation:
6 is 3 times as much as 2
(6+2)/2=2+2
8/2=4
Answer:
Naron is 6 years old and his sister is 2 years old
Step-by-step explanation:
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
A.
-40.85°C
B.
-24.35°C
C.
24.35°C
D.
42.25°
Reset Next
Answer:
I think that the answer is 24.35 degrees C
Step-by-step explanation:
It says it changed -8.25 so you need to subtract 8.25 from 32.6 to get your answer.
Wreh runs laps around a track every day after work. He runs at a constant rate and completes about 12 laps every 18 minutes.
How many minutes does it take Wreh to run 30 laps?
Solve this problem two different ways. Note: cross multiplication will only receive credit as one approach.
Answer:
It willtake 45 minutes
Step-by-step explanation:
divide 18 by 12= 1.5, so multiply 1.5 by 30
Si tienes 5 manzanas para comer durante la semana y te comes el 20% el primer día cuántas manzanas quedan para el resto de la seman?
Answer: El o Ella tiene 4 manazanas izquierda comer para el semana
Step-by-step explanation: Si necesitas ayuda con algo más estoy disponible generalmente de 9 a.m. a 3:50 p.m.
The number of apples left to eat are equivalent to 4.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you have 5 apples to eat during the week and you eat 20% on the first day.
Assume the number of apples left are {x}. So, we can write -
{x] = 5 - 20% of 5
{x} = 5 - (20/100) x 5
{x} = 5 - 1
{x} = 4
Therefore,
To solve more questions on percentage, visit the link below -
brainly.com/question/24159063
#SPJ2
{Question in english -
If you have 5 apples to eat during the week and you eat 20% on the first day, how many apples are left for the rest of the week?}
Select each transformation that carries a square onto itself.
a reflection over one of the square's sides
3 rotation of 180' clockwise about the square's center
a rotation of 90: clockwise about the squares center
a rotation of 180: clockwise about one of the squares vertices
: reflection over one of the souare s diagonals
Answer:
1. a reflection over one of the square's sides
2. a rotation of 90: clockwise about the squares center
3. a rotation of 180' clockwise about the square's center
Step-by-step explanation:
I did a test :)
Help math hv 30 minutes
Answer:
ACD
Step-by-step explanation:
(0,0) shows that the cost is 0 when the weight is 0,
(0.5,2) shows that when the weight is 0.5 pounds the cost is 2 dollars
same concept for D
Can anybody help and get this right I keep getting it wrong ..
Answer:its d
Step-by-step explanation:
6*? -4=17. Please answer my question
Answer:
3.5
Step-by-step explanation:
add 4
6x=21
divide by 6
x=3.5
I NEED HELP
(-8, 6); slope = 1/4
6 = 1/4(-8) +b
6 = -2 +b
8 = b
y = 1/4x +8The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.
What is slope ?Slope is the rate of change.It can also be thought of as rise over run.
According to the given question slope(m) is 1/4 and point is (-8,6).
We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.
∴ 6 = (-8)1/4 + b.
6 = - 2 + b.
b = 8.
Now the equation of this line in slope intercept from can be written as
y = (1/4)x + 8.
learn more about equation of a line here :
https://brainly.com/question/2564656
#SPJ2
Algebra 1 unit 4 mid quiz
The inequality that represents this graph is y < 2x + 2.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The dotted line represents strictly less than or greater than.
From the graph, we can conclude that when x = 0, y = 2, and when x = 1 y = 4, and values of y are strictly less.
∴ The inequality that represents this graph is y < 2x + 2.
learn more about inequalities here :
https://brainly.com/question/20383699
#SPJ2
Point A is at (-2, 4) and point M is at (2.5, 3.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
let [tex] A(-2, 4) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]
Rewrite the equation to find the coordinates of B
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
Solve for each:
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]
[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] 5 = x_1 - 2 [/tex]
[tex] 5 + 2 = x_1 - 2 + 2 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]
[tex] 7 = y_1 + 4 [/tex]
[tex] 7 - 4 = y_1 + 4 - 4 [/tex]
[tex] 3 = y_1 [/tex]
[tex] y_1 = 3 [/tex]
Coordinates of point B: (7, 3)
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
Rewrite the equation to find the coordinates of B
Coordinates of point B: (7, 3)
How my calories are in 48 oz if tea
Answer:
2 calories
Step-by-step explanation:
yes
Answer:
The answer you are looking for is 2 calories.
Step-by-step explanation:
1 serving 8 fl oz cup (238 g)
4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.
The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?
Answer:
F(C)<250
Step-by-step explanation:
To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.
F(X)=y
We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.
f(C)=C/20
Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.
F(C)<250
:)!
The sum of two consecutive odd integers is 72 what are the integers
Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).
y - 5 = 1/10 (x – 10)
How do you rewrite the equation in slope-intercept form?
Answer.
Y=|10x-100|+5
A recipe calls for 3 3/4 cups of flour. How many cups will you need if you are preparing 5 batches of the recipe?
Answer:
18.75 cups of flour
Step-by-step explanation:
The answer is 18.75 cups of flour as you have to multiply 5 by 3 3/4. The result will be 18.75. Hope it helps!
You need 18 3/4 cups of flour, to make 5 batches of the recipe.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
If one batch of the recipe calls for 3 3/4 cups of flour, then 5 batches of the recipe will require:
5 × 3 3/4 cups
To multiply a whole number by a mixed number, we first convert the mixed number to an improper fraction:
3 3/4 = (4 × 3 + 3) / 4 = 15/4
Now we can multiply:
5 × 15/4 = (5 × 15) / 4 = 75/4
To convert this fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction:
75 ÷ 4 = 18 remainder 3
So, 75/4 is equal to 18 3/4.
Therefore, 5 batches of the recipe will require:
18 3/4 cups of flour.
To learn more about fractions;
https://brainly.com/question/10354322
#SPJ2
If the length
is 3x+2 and the width is X+4. What is the area of a
redangle?
Answer:
3x+2+x+4=4x+6
Step-by-step explanation:
add all the number with x and also add all the numbers without x and u will get ur answer
so the ans is 4x+6
I used 1/3 of a bottle of wax to wax 3/4 of a car. How many cars can I wax with one bottle? Please helppp
Answer:
2.25 cars are waxed with one bottle
Step-by-step explanation:
1/3 * 3 = 1
3/4 * 3 = 9/4
9/4 = 2.25
Yoko made $242 for 11 hours of work.
At the same rate, how much would she make for 7 hours of work?
Answer:
$154
Step-by-step explanation:
Find the rate per hour as;
if 11 hours =$242
1 hour =?
Perform cross product as:
{$242 *1} / 11 = $22
For 7 hours the amount made will be:
7* $22 = $154
Which expression is another way to write 10,000,000? 10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Answer:
Step-by-step explanation:
10^6
Answer:
10^6
Step-by-step explanation:
An acre is a unit of measure for area. One acre ie equal to 43,560 square feet. Often, an acre is a rectangle that measures 660 feet by 66 feet. However, the length and width of the rectangle can vary. An acre can actually have any shape, as long as it measures exactly 43,560 square feet. Rachel purchased 1/5 acre of land in the shape of an isosceles triangle. What is the area of the land Rachel purchased?
Answer:
area of land purchased =247
The area of the land Rachel purchased is approximately 10,055.64 square feet.
How to calculate the area?We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.
To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.
Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".
We know that the area of a triangle is given by the formula:
Area = (1/2) x base x height
So, we can rearrange this formula to solve for the height:
height = 2 x Area / base
Now we can substitute in the values we know:
Area = 8,712 square feet
base = unknown
height = unknown
We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:
base = 2s
We can use the Pythagorean theorem to find the height in terms of s:
s² + (h)² = (2s)²
s² + h² = 4s²
h² = 3s²
h = s x √(3)
Now we can substitute this expression for the height in terms of s into the formula we derived for the area:
Area = (1/2) x base x height
Area = (1/2) x 2s x s x √(3)
Area = s² x √(3)
We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:
s² x √(3) = 8,712
s² = 8,712 / √(3)
s = √(8,712 / √(3))
Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:
base = 2s
base = 2 x √(8,712 / √(3))
Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))
Area = 2 x 8,712 / √(3)
Area = 17,424 / √(3)
Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ2
Convert the fraction to a decimal: 1/6 =
Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
Evaluate - (2-6)(23).
O A. 8
O B.
1
8
Oc.
1
8
D. -8
Answer:
-92.
Step-by-step explanation:
2 - 6 is -4.
-4 x 23 is -92.
teri works as a security guard at the local mall. Teris gross income is $2400. Teri can expect to pay 12% of her gross income for taxes. How much will she pay is taxes for the year.
Answer:
she is expected to pay $288 in taxes
Step-by-step explanation:
She is expected to pay 12% of $2400, that is: 0.12 * 2400 = 288
So she is expected to pay $288 in taxes for such income.
round 673738 to the nearest ten thousand
Answer:670000
Step-by-step explanation:
Rounding 673738 to the nearest ten thousand is 670000
The place value of the number 673738 from the right is given below:
8 stands for unit
3 represents tens
7 represents hundreds
3 represents tens thousands
7 represents ten thousands
6 represents hundred thousands
Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.
In conclusion, rounding 673738 to the nearest ten thousand is 670000.
Read related link on:
https://brainly.com/question/19986219
Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?
Q: Perry is responsible for distributing soccer balls to the kids at soccer camp. During practice, Perry would like each group of 5 children to share two soccer balls. How many soccer balls does Perry need if 25 kids attend camp?
A: 20 soccer balls
Hope this helped!