Answer:
1.16
Step-by-step explanation:
you have to divide 14 by 12 since the amount of acres mowed in 12 hours is how much acres she's mowed.
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.
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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)
Can anybody help and get this right I keep getting it wrong ..
Answer:its d
Step-by-step explanation:
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
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.
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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!
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,
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{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?}
Lil baby - It’s too many mothers that grieving they killing us for no reason been going on for too long to get even
Answer:
[tex]its \: 11.75[/tex]
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:
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)
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.
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
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:
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
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 ).
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
(4 to the 4th power)to the 3rd power
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
Convert the fraction to a decimal: 1/6 =
Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
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.
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4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.
6*? -4=17. Please answer my question
Answer:
3.5
Step-by-step explanation:
add 4
6x=21
divide by 6
x=3.5
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
so looks its an easy one
110 - 39 = 71
71 x 5.75 = 408.25
39 x 3.25 = 126.75
408.25 +126.75 = 535
71 burritos and 39 tacos = 535 dollars
69 burritos
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Tacos sold = 39
Burritos sold = x
Let x be the number Burritos sold
each taco sold for $3.25
each burrito sold for $5.75.
Total sell = $520
Now according to the given question,
39*3.25 + x*5.75 = 520
126.75 + 5.75x = 520
5.75x = 393.25
x = 68.39
x ≈ 69
Therefore, Justin has to sell 69 burritos to meet the requirements.
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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)
Line a passes through points (-2, 1) and (2,9). Write an equation in slope intercept form that is parallel to line a.
Answer:
y=ax+9−2a (i think )
Step-by-step explanation:
A straight line is represented by a linear function
The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]
The points are given as:
(x1,y1) = (-2,1)
(x2,y2) = (2,9)
Calculate the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]
[tex]\mathbf{m = \frac{8}{4}}[/tex]
[tex]\mathbf{m = 2}[/tex]
The equation in slope intercept form is:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 2(x +2) + 1}[/tex]
[tex]\mathbf{y = 2x +4 + 1}[/tex]
[tex]\mathbf{y = 2x +5}[/tex]
Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]
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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
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 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.
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.
7. Identify the reason for each step in the solution.
-
3(x+2) = 2x+3
3x + 6 = 2x + 3
3x + 6 - 2x = 2x +3 - 2x
X+6 = 3
X+6 - 6 = 3-6
x = -3
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.
Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:
Distributive Property
The first step applies the Distributive Property,
which states that multiplying a number outside the parentheses by the terms inside the parentheses.
Here, we multiply 3 by (x+2),
3(x+2)
= 3 × x + 3 ×2
= 3x + 6
Combining Like Terms
In the second step, combine like terms on both sides of the equation.
On the left side, we have 3x, and on the right side, we have 2x.
We also have constants 6 on the left side and 3 on the right side.
3x + 6 = 2x + 3
Move Variables to One Side
To solve for 'x', we want all the terms with 'x' on one side of the equation.
Here, move the term with 2x to the left side by subtracting 2x from both sides of the equation:
3x + 6 - 2x = 2x + 3 - 2x
Simplify
On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:
x + 6 = 3
Move Constants to the Other Side
To isolate 'x', we need to get rid of the constant term on the left side.
Subtracting 6 from both sides of the equation:
x + 6 - 6 = 3 - 6
Simplify
On the left side, the +6 and -6 cancel out, leaving us with:
x = -3
Final Solution
After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.
This means that if we replace 'x' with -3 in the equation, it will hold true:
3(-3 + 2) = 2(-3) + 3
-3 = -6 + 3
-3 = -3
And that's why the solution to the equation is x = -3.
Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3
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