The number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.
Rate of dump clearing by the truckThe rate of dump clearing is determined as follows;
R = 3000 dumps/200 truck
R = 15 dumps/truck
When the dump is 40,000 cubic yardsThe number of dump truck needed to clear the 40,000 cubic yards is calculated as follows;
N = 40,000/15
N = 2,666.67 trucks
N ≅2,667 trucks
Thus, the number of dump truck needed to clear the 40,000 cubic yards is determined as 2,667 trucks.
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To clear the slide that left 40,000 cubic yards of material on the road, approximately 2,666.67 dump truck loads would be needed.
In the first scenario, a landslide resulted in 3,000 cubic yards of material obstructing the highway. This volume of material requires 200 dump truck loads for removal.
By dividing the total volume (3,000 cubic yards) by the number of loads (200), we can calculate that each dump truck load can carry 15 cubic yards of material.
3,000 / 200 = 15 cubic yards of material.
Now, applying this knowledge to the second scenario, where a landslide left 40,000 cubic yards of material on the road, we can determine the number of dump truck loads needed to clear it.
By dividing the total volume of material (40,000 cubic yards) by the volume each truck load can carry (15 cubic yards), we get the number of dump truck loads required for cleanup.
=> 40,000 / 15 = 2,666.67
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Add the two expressions
6q + 1 and q + 11
Addition of 6q + 1 and q + 11 is 7q + 12
Solution:
Given that, we have to add the given two expressions
Given expressions are:
6q + 1 and q + 11
We have to add both the expressions
Addition of 6q + 1 and q + 11 = 6q + 1 + q + 11
Add the coefficients of same variable. Here "q" is present in two terms
Therefore, add 6q and q
Similarly, add the constants 1 and 11
Thus finally addition is done as:
[tex]6q + 1 + q + 11 = 7q +12[/tex]
Thus addition of 6q + 1 and q + 11 is 7q + 12
Two sides of a triangle have the same length. The third side measures 4 m less than twice the common length. The perimeter of the triangle is 20 m. What are the lengths of the three sides?
The lengths of the sides of the triangle are 6 m, 6 m, and 8 m.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
Let the length of the first side and 2nd side are x,
Two sides of a triangle have the same length.
The third side measures 4 m less than twice the common length.
So the length of the third side = 2x - 4
Given that the perimeter of a triangle is 20 m
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
⇒ x + x + 2x - 4 = 20
⇒ 4x = 24
⇒ x = 6
So the length of the third side = 2(6) - 4 = 8
Hence, the lengths of the sides of the triangle are 6 m, 6 m, and 8 m.
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Final answer:
To find the lengths of the triangle's sides, we establish a variable x for the two identical sides. The equation 4x - 4 = 20 is solved to give x = 6. Thus, the triangle has sides of 6 meters, 6 meters, and 8 meters.
Explanation:
The question is asking to determine the lengths of the three sides of a triangle when two of the sides have the same length, and the third side is 4 meters shorter than twice the length of the other two sides. Additionally, it is given that the perimeter of the triangle is 20 meters.
Let's denote the common length of the two sides as x meters. Hence, the length of the third side would be 2x - 4 meters. Since the perimeter of the triangle is the sum of its sides, we have the following equation:
x + x + (2x - 4) = 20
This simplifies to:
4x - 4 = 20
Adding 4 to both sides gives:
4x = 24
Dividing by 4 gives:
x = 6
Therefore, the lengths of the two identical sides of the triangle are 6 meters each, and the length of the third side is 2(6) - 4 = 8 meters.
Included side between
Answer:
side WA
Step-by-step explanation:
i put sw which was wrong its (side WA) 100% ☺☺☺
Suppose you and some friends are going to the movies. The amount of
money you spend for tickets varies directly with the number of people buying
tickets. If you spend $28 for four tickets, what is the constant of variation?
Answers:
1
4
7
28
Answer:
money spent = number of people * price of 1 ticket (direst variation)
28 = 4 * price of a ticket
so price of one ticket = 28/4 = 7
Constant of variation is 7
we might write it as m = 7n
Step-by-step explanation:
The treasure map said to start at the old oak tree, walk 70 paces north, then 40 paces East, then dig. What is the straight-line distance (in paces) from the tree to the treasure?
Answer:
The straight-line distance (in paces) from the tree to the treasure is 80.62 paces
Step-by-step explanation:
Given:
Distance walked towards the north = 70 Paces
Distance walked towards the East = 40 Paces
To Find:
The straight line distance from the tree to the treasure =?
Solution:
We we track the trail we can find a right triangle formed where the two sides are 70 pace and 40 pace each. The straight line distance is the hypotenuse of the triangle(Refer the figure below
Now we can find the length of the hypotenuse by Pythagorean theorem
[tex]a^2 =b^2 +c^2[/tex]
where b and c are the sides of the triangle
and a is the hypotenuse
[tex]a^2 = 70^2 +40^2[/tex]
[tex]a^2 =4900 + 1600[/tex]
[tex]a = \sqrt{4900 + 1600}[/tex]
[tex]a =\sqrt{6500}[/tex]
a = 80.62
PLEASE HELP ME ...........Julie was looking at the architect's blueprint of her house. The scale on blueprint was 1/4 inch = 1 foot. On the blueprint, what are the dimensions of her bedroom if the actual dimensions of her bedroom are 12 feet by 16 feet?
Answer:
On the blueprint the dimensions are 48 inches by 64 inches.
Step-by-step explanation:
Given:
The scale on blueprint was 1/4 inch = 1 foot.
The actual dimensions of her bedroom are 12 feet by 16 feet.
Now, to find the dimensions on the blueprint.
Let the dimensions on the blueprint be [tex]x[/tex] by [tex]y.[/tex]
As, given the scale on blueprint:
[tex]\frac{1}{4}\ inch=1\ foot[/tex]
So, [tex]\frac{1}{4}\ inch[/tex] is equivalent to 1 foot.
Thus, [tex]x[/tex] is equivalent to 12 feet.
And, [tex]y[/tex] is equivalent to 16 feet.
Now, solving by cross multiplication method:
[tex]\frac{\frac{1}{4}}{1} = \frac{x}{12}[/tex]
[tex]\frac{4}{1} =\frac{x}{12}[/tex]
By cross multiplying we get:
[tex]48=x[/tex]
[tex]x=48\ inches.[/tex]
Now, again:
[tex]\frac{\frac{1}{4}}{1} =\frac{y}{16}[/tex]
[tex]\frac{4}{1} =\frac{y}{16}[/tex]
By cross multiplying we get:
[tex]64=y[/tex]
[tex]y=64\ inches.[/tex]
Therefore, on the blueprint the dimensions are 48 inches by 64 inches.
Answer:
Step-by-step explanation:
48 and 64
axb= 0.24. how many possible values for a and b are there?
Answer:
There are infinite possible values for a and b there.Step-by-step explanation:
[tex]a \times b = 0.24\\b = \frac{0.24}{a} or, a = \frac{0.24}{b}[/tex].
In the above equation the proper values can not be found only when the denominator will be 0.
As for example, if a = 2, then b = 0.12.
If a = 0.12, then b = 2.
If a = 1, b = 0.24 or b = 1, a = 0.24.
Thus, a or b can be any real number rather than 0.
4x + 5 - 5x x=12
PLEASE ANSWER THIS ASAPPPP
Can someone answer this?
Apply the product rule by raising each term by the power outside powers.
Then divide and simplify to get the second choice:
Let f(x) = 2x + 5. The graph of f(x) is transformed into the graph of g(x) by a vertical
stretch of 3 and a translation of 4 units down. What is the equation for g(x)? Show
and explain your work.
The equation of g(x) is g(x) = 6x + 11
Step-by-step explanation:
Let us revise some transformation
A vertical stretching is the stretching of the graph away from the x-axis, If k > 1, the graph of y = k • f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by kIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k∵ f(x) = 2x + 5
∵ The graph of f(x) is stretched vertically by scale factor 3
- That means multiply f(x) by 3
∴ The equation of the new graph is 3(2x + 5)
∵ The new graph is translated 4 units down
- That means subtract 4 from 3(2x + 5)
∴ The equation of g(x) is g(x) = 3(2x + 5) - 4
- Simplify the equation of g(x)
∴ g(x) = 3(2x) + 3(5) - 4
∴ g(x) = 6x + 15 - 4
- Add the like terms in the right hand side
∴ g(x) = 6x + 11
The equation of g(x) is g(x) = 6x + 11
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Karen gave an equal amount of m and m's to herself and four friends. Each person receives m and m's equivalent to the largest one digit number. How many m and m's did Karen have?
Answer:
Karen had 45 m and m's candy.
Step-by-step explanation:
Let the number of m and m's candy be 'x'.
Now given:
Karen gave an equal amount of m and m's to herself and four friends.
So we can say that;
Number of people m and m's candy distributed equally = 5
Also Given:
Each person receives m and m's equivalent to the largest one digit number.
Now we know that;
Largest one digit number is 9.
So we can say that;
Each person receives m and m's = 9
We need to find number of m and m's Karen have.
Solution:
So we can say that;
Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.
framing in equation form we get;
Total number of m and m's Karen had = [tex]9\times5 = 45[/tex]
Hence Karen had 45 m and m's candy.
help me please-------------------------
Answer:
Based on the answers I can see, it'd be all of them.
Step-by-step explanation:
When rounding to the nearest hundred, you round down if the tens are 49 or smaller (e.g. 401 to 400). If the tens are 50 or bigger, you round up (e.g. 351 to 400). I hope that helps you.
Find the additive inverse or opposite of –4
Final answer:
The additive inverse of – 4 is 4 because when – 4 is added to 4, the result is 0. This demonstrates the concept of additive inverses in algebra, where each number has a counterpart that sums to zero.
Explanation:
The question is asking to find the additive inverse or opposite of – 4. The additive inverse of a number is the number that, when added to the original number, results in a sum of zero. This is a fundamental concept in algebra and mathematics in general. To find the additive inverse of – 4, you simply need to find a number that, when added to – 4, equals 0.
The additive inverse of – 4 is 4. This is because – 4 + 4 = 0. When you add – 4 and its additive inverse together, their sum is 0, which means 4 is the correct answer. The concept of the additive inverse is crucial in equations solving and other algebraic manipulations, assisting in understanding how to balance equations and solve for unknowns.
HELP PLS OR IM DEAD......
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Whrere "m" is the slope and "b" is the y-intercept.
The line intersects the y-axis when [tex]x=0[/tex], therefore, you can identify from the given table that "b" is:
[tex]b=3[/tex]
Now, in order to find the slope of that line, you can follow these steps:
1. Substitute the value of "b" and the coordinates of any point from the table and into [tex]y=mx+b[/tex]
2. Solve for "m".
Then, choosing the point (1,1), you get:
[tex]1=m(1)+3\\\\1-3=m\\\\m=-2[/tex]
Therefore, you can determine that the equation of that line in Slope-Intercept form, is:
[tex]y=-2x+3[/tex]
its c are you already dead??
Macy doesn’t have any money in her bank account, but she saves $12.50 each week. Robby has $20 in his bank account, and he saves $7.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts?
After 4 weeks, Macy and Robby will have same amount in their accounts.
Step-by-step explanation:
Given,
Amount saved by Macy each week = $12.50
Let,
x be the number of weeks.
M(x) = 12.50x
Amount saved by Robby each week = $7.50
Amount Robby already have = $20
R(x) = 7.50x + 20
For same amount;
M(x) = R(x)
[tex]12.50x=7.50x+20\\12.50x-7.50x=20\\5x=20[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{20}{5}\\x=4[/tex]
After 4 weeks, Macy and Robby will have same amount in their accounts.
Keywords: function, division
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After 4weeks, Macy and Robby will have the same amount in their bank accounts.
To determine after how many weeks Macy and Robby will have the same amount in their bank accounts, we can set up an equation based on their weekly savings and initial amounts.
Let M(t) represent Macy's savings after t weeks, and R(t) represent Robby's savings after t weeks.
Macy's savings can be expressed as:
M(t) = 12.50t
Robby's saving can be expressed as:
R(t) = 20 + 7.50t
We want to find the number of weeks t such that M(t) = R(t)
Setting up the equation:
12.50t = 20 + 7.50t
To solve for t, first subtract 7.50t from both sides:
12.50t - 7.50t = 20
5t = 20
Next, divide both sides by 5 to solve for t
[tex]\[ t = \frac{20}{5} \][/tex]
t = 4
Therefore, after 4weeks, Macy and Robby will have the same amount in their bank accounts.
Jamahl Jones earned $20.50 cutting grass, $16.50 babysitting, and $4.95 selling two baseball cards. He puts
all but $10.00 in his checking account. What is his total deposit?
a. $41.95
c. $31.95
h $31.50
d. $30.00
Factor to solve each equation.
x2 - 7x+6=0
Answer:
x is 1 or -7
Step-by-step explanation:
x^2-7x+6=0 //we must find two numbers with multiple as -7 and sum as +6. numbers are -1 and 7.
(x-1)(x+7)=0
x-1=0 -»x=1
x+7=0 -»x= -7
3/10 + 62/100 =
WILL YOU PLEASE GIVE STEPS TO FIND THE SUM ON THE PROBLEM ABOVE?
3/10 = 30/100 after multiplying top and bottom by 10
so we have 30/100 + 62/100 = (30+62)/100 = 92/100
Reduce this fraction
92/100 = (23*4)/(25*4) = 23/25
Therefore, 3/10+62/100 = 23/25
For which equation is (4, 3) a solution?
y = x + 3
y = 3 x – 4
y = 2 x – 5
y = 2 x – 1
Answer:
y=3 x -4
Step-by-step explanation:
yes
solve for
please help!!
Answer:
x = 76°
Step-by-step explanation:
At point I
to get angle JID
angle JID + 107° = 180°. (angle on a straight line)
angle JID = 180° - 107°
angle JID = 73°
for Triangle JiD
angle DJI + 31° + 73° = 180° (Sum of angles in a triangle)
angle DJI = 180 - 104 = 76°
angle FJI = 31 + 73 =104°. ( Sum of two interior angles in a triangle is equal to one exterior angle)
Hence,
x° + 104° = 180° (angle on a straight line)
x = 76°
Raphael Raphael Raphael Raphael
An isosceles triangle has (5 points) at least two congruent sides two sides that are perpendicular three sides with the same length two sides that are parallel
Answer:
at least two congruent sides
Step-by-step explanation:
give brainliest plz
Two bottled waters and an order of cheese nachos costs $5.50.three bottled waters and two orders of cheese nachos costs $9.50
what does it ask for?
Answer: You might have messed up the question
Here is the answer based on your question
W (Bottled water) = 7/2$
N (Cheese Nachos) = -1/2$
Step-by-step explanation:
2W + 3N = $5.50
3W + 2N = $9.50
Find the common number and subtract them. In order to find isolate the water bottles or nachos. I will do water bottles
15 (2W + 3N = $5.50)
10 (3W + 2N = $9.50)
30w + 45N = $82.5
Minus
30W + 20N = $90
= 25N = -12.5
N = -1/2$
Substitute for N
3W + 2(-1/2) =9.5
3w -1 = 9.5
3w - 10.5
w = 7/2$
40w + (1.5)(8)(w) =780
Answer: w = 15
Original Question: 40w + (1.5)(8)(w) =780
Step-by-step explanation:
1) 40w + 1.5 x 8w = 780
2) 40w + 12w = 780
3) 52w = 780
4) 52w/52 = 780/52
w = 15
-2x+9=9 solved y substitute
Answer:
x=0
Step-by-step explanation:
-2x+9=9
-2x=9-9
-2x=0
x=0/-2
x=0
The Ramy family bought 4 sandwiches and 3 salads. They spent $24. Let x be the cost of a sandwich and y be the cost of a salad.
If each sandwich costs $3.75, how much did each salad cost?
The core of calculus in mathematics are functions. The unique varieties of relations are the functions.
The cost of 1 salad exists $3.
What is meant by function?A function is a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.
A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, while the set Y is known as the function's codomain.
Let, the cost of 1 sandwich be 'x' and the cost of 1 salad is 'y'.
4 sandwiches = 4x
3 salads = 3y
total spent = $24
From the given equation, we get
4x + 3y = 24
If each sandwich costs $3.75,
⇒ 4(3.75) + 3y = 24
simplifying the above equation, we get
⇒ 15 + 3y = 24
⇒ 3y = 24 - 15
⇒ 3y = 9
⇒ y = 9/3
⇒ y = 3
Therefore, the cost of 1 salad exists $3.
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roger is buying a new pair of shoes for 25% off. if the original price of shoes was $90.00 , how much money is roger saving on shoes ???? please help ME hurry i have to finish my test !! i will give u 10 points .
Answer:
Answer: $67.50
Step-by-step explanation:
How many points of intersection are there between line A and line B if they contain the points listed?
Line A: (2,8) and (-2,-4)
Line B: (4, 10) and (-3, -11)
A.)zero
B.)one
C.)two
D.)infinite
Answer:
A.) zero
Step-by-step explanation:
A graph shows the two lines are parallel. Each has a slope of 3. Line A has a y-intercept of +2; Line B has a y-intercept of -2.
There are zero points of intersection.
Drag the correct number of pieces to show how to find the area of the shaded figure in
two different ways. Pieces can be rotated to fit.
Answer:
Step-by-step explanation:
first shape = 2 pieces
Second shape 12 pieces
Answer:
First Scenario-
2 of the first ones
2 of the third ones
1 of the 5th ones
2 scenario-
2 of the 4th ones
Step-by-step explanation:
i got it right
How many times does 9 go into 143
Answer:
15.89
Step-by-step explanation:
You would divide 149 by 9 and get 15.88.However this 8 will keep repeating so you have to round it up.
find the value of sin100.sin120.sin140.sin160
The value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]
Step-by-step explanation:
To find the value of [tex]sin100.sin120.sin140.sin160[/tex], let us find the value of each angle.
The value of [tex]sin100=0.9848[/tex]
The value of [tex]sin120=\frac{\sqrt{3} }{2}[/tex]
The value of [tex]sin140=0.6428[/tex]
The value of [tex]sin160=0.3420[/tex]
Substituting the values of sin, we get,
[tex]sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420[/tex]
Multiplying the values of sin, we get,
[tex]sin100.sin120.sin140.sin160=0.1875[/tex]
Thus, the value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]