Answer:
12
Step-by-step explanation:
4(2+1)
4*3
12
Answer:
substitute n in bigger equation with 2.
4(2+1)
4×3=12
A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
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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What is 2 3/4 * 2 1/2
Answer:
6.875
Step-by-step explanation:
Used a calculator to solve this one, it might be incorrect, i suggest doing some extra research on how to solve to see if you get this answer ;)
Lamont works for an electric utility and is installing a 40 foot utility pole as shown. Lamont drills the anchor of a support cable into the ground 15 feet from the base of the pole. What is the minimum length of cable Lamont needs?
Answer:
Approximately 43 feet of minimum cable is needed.
Step-by-step explanation:
This problem can be solved using Trigonometry and Pythagorean theorem. Pythagorean theorem applies on right-triangles (which are known to have one 90° angle). The theorem states that the square of the Hypotenuse is obtained by the squared sum of the other two sides of the triangle (i.e the two sides forming the 90° angle - with the hypotenuse side being across it as:
[tex]h^2=a^2+b^2[/tex] Eqn. (1)
where
[tex]h[/tex] is the hypotenuse
[tex]a[/tex] is a side
[tex]b[/tex] is a side
Now in this case, the utility pole must be perpendicular to the ground and the anchor being parallel to the ground, and a 90° angle formed between them. Conclusively the cable length will be represented by the hypotenuse in a right triangle. So here we have [tex]a=40ft[/tex] and [tex]b=15ft[/tex]. Plugging in Eqn.(1) and solving for [tex]h[/tex] we have:
[tex]h^2=40^2+15^2\\h=\sqrt{40^2+15^2} \\h=\sqrt{1600+225}\\ h=\sqrt{1825}\\ h=5\sqrt{73}\\ h=42.72ft[/tex]
So we conclude that the minimum length of cable needed by Lamont is
≈43 feet (rounded up).
Jerry collected 45000. Kramer collected 5 times more than jerry. Elaine collected 9 times less than jerry. Newman collects the same as jerry. Kramer and Elaine collected together. How much have the collectors each collected
Kramer collected = 225000
Elaine collected = 5000
Newman collected = 45000
Solution:
Given Jerry collected 45000.
Kramer collected = 5 times more than Jerry collected
= 45000 × 5
= 225000
Kramer collected = 225000
Elaine collected = 9 times less than Jerry collected
= 45000 ÷ 9
= 5000
Elaine collected = 5000
Newman collected = same as Jerry collected
= 45000
Newman collected = 45000
Hence, Kramer collected = 225000
Elaine collected = 5000
Newman collected = 45000
Answer:
2025000 kramers collected
Step-by-step explanation:
tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle. her dog's neck has a circumference of about 32cm. the folded bandana needs to be an extra 16cm long so tessa can tie it around her dog's neck. what should the side length of the square be to the nearest centimeter?
Answer:
The side length of the square will be 11 cm.
Step-by-step explanation:
Tessa wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle.
Her dog's neck has a circumference of about 32 cm. the folded bandana needs to be an extra 16 cm long so Tessa can tie it around her dog's neck.
So, the hypotenuse of the 45-45-90 triangle has a length of (32 - 16) = 16 cm.
As a 45-45-90 triangle is an isosceles right triangle with side length a cm (say), then
[tex]\sqrt{a^{2} + a^{2}} = 16[/tex]
⇒ 2a² = 16² = 256
⇒ a² = 128
⇒ a = 8√2 cm.
Therefore, the side length of the square will be 8√2 cm ≈ 11 cm. (Answer)
The side length of the square should be [tex]34cm[/tex] (to the nearest cm)
After folding the square cloth into a bandana, the diagonal has to be [tex]32cm+16cm=48cm[/tex] so that it can tie around the dog's neck.
Using Pythagoras' theorem, the relationship between the sides of the square cloth and the diagonal will be
[tex]diagonal=\sqrt{side^2+side^2}\\diagonal=side\sqrt{2}[/tex]
substituting and solving for the required side length, we get
[tex]48=side\sqrt{2}\\side=24\sqrt{2}\approx 34cm[/tex]
So, the required side length of the square is [tex]34cm[/tex] (to the nearest cm)
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Which segments are congruent?
PLEASE MARK BRAINLIEST!
Answer:
The two congruent segments are EF and GF, and EH and GH.
Step-by-step explanation:
That being said, your answer is A because EF and GF are in fact congruent segments.
I hope this helps!
- sincerelynini
Which composition of similarity transformations would
map polygon ABDC to polygon A'B'D'O'?
a dilation with a scale factor greater than 1 and then
a translation
a dilation with a scale factor greater than 1 and then
a rotation
a dilation with a scale factor less than 1 and then a
reflection
a dilation with a scale factor less than 1 and then a
transation
Answer:
A dilation with a scale factor greater than 1 and then a translation.
Answer:
A
Step-by-step explanation:
Convert 2671(in base 9), to base 3 without first converting to base 10.
Since 9 is 3², each digit in base nine takes two digits in base 3.
2₉ = 02₃
6₉ = 20₃
7₉ = 21₃
1₉ = 01₃
Putting it together
2671₉ = 2202101₃
!HELP!
Look at the figure below:
*look at image attached*
Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB.
(please show in a two-column proof)
I hope this help you with what you need
Find the value of the polynomial 3xy+7x2−3x2y+3y2x−2x2−2xy+4x2y−2y2x, when x=1 and y=−2
9514 1404 393
Answer:
5
Step-by-step explanation:
The evaluation can be easier if terms are collected first.
3xy+7x^2−3x^2y+3y^2x−2x^2−2xy+4x^2y−2y^2x
= x^2y(-3+4) +xy^2(3-2) +x^2(7-2) +xy(3-2)
= x^2y +xy^2 +5x^2 +xy
= x(xy +y^2 +5x +y)
Filling in the numbers, we have ...
= (1)(1(-2) +(-2)^2 +5(1) +(-2))
= -2 +4 +5 -2
= 5
The value of the polynomial is 5.
what is 5x to the third times 6
Answer:
The answer is that 5x to the third times 6 is 30x³
Step-by-step explanation:
Let's answer the question, this way:
5x to the third = 5x³
5x³ times 6 = 5x³ * 6 = 30x³
The answer is that 5x to the third times 6 is 30x³
Drag numbers to show which are closest to ‐3/4 and ‐1/2 on the number line. -0.65 -1/3 -7/8 -3/5
Answer:
for -3/4 it is -0.65 and for -1/2 it is -3/5
Step-by-step explanation:
Final answer:
The numbers closest to -3/4 (-0.75) and -1/2 (-0.5) on the number line are -0.65 and -0.6 (or -3/5), respectively.
Explanation:
The question involves identifying which numbers on a list are closest to -3/4 and -1/2 on the number line. To do this, we should consider converting all the fractions and decimals to a common format (decimals) to easily compare their distances to -3/4 (which is -0.75 as a decimal) and -1/2 (which is -0.5 as a decimal).
The numbers provided are:
-0.65
-1/3 (which is approximately -0.333 as a decimal)
-7/8 (which is -0.875 as a decimal)
-3/5 (which is -0.6 as a decimal)
Now, to determine which numbers are closest to -3/4 and -1/2:
For -3/4 (-0.75), the closest number is -0.65.
For -1/2 (-0.5), the closest number is -0.6 (or -3/5).
ABC has vertices at A(5,-1), B(9, -9), and C(4,-1). Write the equation of the line in slope-intercept form that is perpendicular to AB and passes through point C
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
step 1
Find the slope of AB
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
A(5,-1), B(9, -9)
substitute the values
[tex]m=\frac{-9+1}{9-5}[/tex]
[tex]m=\frac{-8}{4}[/tex]
[tex]m=-2[/tex]
step 2
Find the slope of the line that is perpendicular to AB
we know that
If two lines are perpendicular, their their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
[tex]m_A_B=-2[/tex]
therefore
The slope of the perpendicular line is
[tex]m=\frac{1}{2}[/tex]
step 3
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{1}{2}[/tex]
[tex]C(4,-1)[/tex]
substitute
[tex]y+1=\frac{1}{2}(x-4)[/tex]
step 4
Convert to slope intercept form
Isolate the variable y
[tex]y+1=\frac{1}{2}x-2\\\\y=\frac{1}{2}x-2-1\\\\y=\frac{1}{2}x-3[/tex]
2 fields are 1,200 meters from each other. On a map the 2 fields are 8 centimeters apart. What scale is the map using.
Answer:
The scale 150 metres : 1 centimeters is the map using.
Step-by-step explanation:
Given:
2 fields are 1,200 meters from each other.
On a map the 2 fields are 8 centimeters apart.
Now, to find the scale map is using.
Actual distance between the 2 fields = 1200 meters.
Distance in the map between the 2 fields = 8 centimeters.
So, to get the scale map is using we find the ratio:
[tex]Actual\ distance\ between\ the\ 2 fields/ Distance\ in\ the\ map\ between\ the\ 2 fields[/tex].
[tex]=\frac{1200}{8}[/tex]
[tex]=\frac{150}{1}[/tex]
[tex]=150\ meters:1\ centimeters[/tex]
Therefore, the scale 150 metres : 1 centimeters is the map using.
Danielle and her friends put their money together to buy a book of tickets for the fair that contains 50
tickets. She and her two friends each paid $5.00. What is the price per ticket?!
Step-by-step explanation:
There are 3 people in total, Danielle and w of her friends. Since they paid $5 each they paid $15 in total for the 50 tickets. To find the price per ticket simply divide the total paid by the amount of tickets.
Price per ticket = 15.0÷50 = $0.30
Answer: Each ticket cost 0,3$
Step-by-step:
You have to divide 15 by 50 (15/50)
In this way you get the answer really quickly.
Hope I helped you!
A residual plot for a set of data with a linear regression equation is shown. Which statement is correct?
A) The least squares regression line is a good fit since there is a definite pattern in the residual plot.
B) The least squares regression line is not a good fit as there is a definite pattern in the residual plot.
C) The least squares regression line is a good fit as you have about the same number of points above and below the line.
Eliminate
D) The least squares regression line is not a good fit since there is about the same number of data points above and below the line.
Answer:
It’s B
Step-by-step explanation:
Final answer:
The correct statement is that if there is a definite pattern in the residual plot, the least squares regression line is not a good fit. It indicates that potentially another model might better capture the variability in the data. So the correct option is B.
Explanation:
The correct statement about the residual plot for a set of data with a linear regression equation is that if there is a definite pattern in the residual plot, it suggests that the least squares regression line is not a good fit for the data. A good fit would be indicated by residuals that are randomly scattered around the horizontal axis, with no apparent pattern. This is because the residuals, which represent the differences between the observed values and the values predicted by the regression line, should not correlate if the model is appropriate for the data set.
The correct option is B) The least squares regression line is not a good fit as there is a definite pattern in the residual plot. This indicates that the linear model may not be capturing all the variability in the data, and some other models might be more appropriate. Option A is incorrect because a definite pattern in the residuals is a sign of a poor fit. Options C and D are not correct because having the same number of points above and below the line does not necessarily mean the model is a good fit; it's the pattern in the points that matters.
Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below. Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees. Which pair of measurements are possible if they are congruent figures? Measure of angle W = 47 degrees and Measure of angle X = 94 degrees Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees Measure of angle W = 47 degrees and Measure of angle Y = 140 degrees Measure of angle X = 140 degrees and Measure of angle Y = 94 degrees
Answer:
Hello! I'm currently doing the test right now on e d g e n u i t y 2/28/2022 and I believe that the right answer is: m<X = 140 and m<Y = 94
Step-by-step explanation: Sorry if I'm wrong.
:)
The pair of measurements that are possible in congruent quadrilaterals are Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees.
Explanation:Quadrilateral WXYZ is congruent to quadrilateral RSTQ if their corresponding angles are congruent. Let's compare the measurements of the angles in both quadrilaterals:
Angle R in RSTQ = 140 degrees, Angle W in WXYZ = 47 degreesAngle S in RSTQ = 94 degrees, Angle X in WXYZ = 94 degreesAngle T in RSTQ = 79 degrees, Angle Z in WXYZ = 79 degreesAngle Q in RSTQ = 47 degrees, Angle Y in WXYZ = 140 degreesTherefore, the pair of measurements that are possible in congruent figures are:
Measure of angle X = 94 degrees and Measure of angle Z = 79 degreesWhat is the equation of a line that contains the following two points?
20 points
(3,-1) , (4,4)
A) y = -5x + 8
B) y = 3x + 5
C) y = 5x -16
D) y = -3x + 6
Answer:
the equation that contains the following 2 points is y=5x-16 which is C.
5 x 680 using distributive property
I believe it would be (5 x 600)+(5x80) = 3400
A customer/member owes $11.02 and pays $100.00 in cash. The change due is $88.98. Provide the amount owed using the smallest number of bills and coins possible.
Answer: subtract
Step-by-step explanation: you’ll see
The smallest number of bills and coins to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.
Explanation:The change due back to the customer is $88.98. The smallest number of bills and coins that equals this amount can be broken down as follows:
Four $20 bills, giving us $80.00,One $5 bill, adding $5.00, making the total now $85.00,Three $1 bills, adding $3.00, making the total now $88.00,Three quarters (25 cents), adding $0.75, making the total $88.75,Two dimes (10 cents), adding $0.20, puts the total at $88.95,Lastly, three pennies (1 cent), adding $0.03, gives the final total of $88.98.So, the smallest amount of bills and coins possible to make up $88.98 is: 4 $20, 1 $5, 3 $1, 3 quarters, 2 dimes, 3 pennies.
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Here's another, Thanks. (3/5)
You are correct. The scale factor is 1/5 = 0.2
Nice work.
Anyone knows what the slope of this is?
Answer:
The slope is 0
Step-by-step explanation:
This is a horizontal line, and all horizontal lines have a slope of 0.
(to see why, just pick any two points, and work out the change in x over the change in y. i.e. rise/run. Since the y coordinates are all equal to 2, the numerator will be 2 -2, meaning the fraction is 0).
The slope is 0. This is because the line is horizontal. Any horizontal line has a slope of 0. Please tell me if you understand! I hope this helps!
40 points for this! I NEED THE ANSWERS NOWWWWWWWWWWW
Liana's class was going on a very exciting school trip, but when Liana got to school, the school bus had already left! Frantic, Liana begged her mom to drive her to catch up with the bus. Liana's mother has to decide quickly whether she can do it. These are the facts to consider: The bus left at 8:00 AM and is moving with an average speed of 45 mph. Liana and her mom can leave no earlier than at 8:40. If Liana's mother drives with the average speed 60 mph, when can they catch up with the bus?
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?
Liam's parents are driving three times as fast as Liam is biking, but they left later than he did. If his parents caught up with him two hours after he left, how much later than Liam did they leave?
Find the number y, if 3 1/3 of y is 60.
Find the number x, if 11/5 of x is 55.
Find the number y, if 3 1/3 of y is 60. y is 18
Find the number x, if 11/5 of x is 55. x is 25
Answer:
10;40
Step-by-step explanation:
Which of the following is the solution to the equation 2/3 over 3x = 12?
x=4
x=8
x=18
x=24
Answer:
x = 54 and none of the alternatives given is correct
Step-by-step explanation:
Let's solve for x in the equation given, this way:
2/3 ÷ 3x = 12
2/3 * x/3 = 12
2x/9 = 12
2x = 108
x = 108/2 = 54
Proof of x = 54
2/3 * 54/3 = 108/9 = 12
x = 54 and none of the alternatives given is correct
what’s the slope of -1,-10 and -1,-2
Answer:
slope = undefined
Step-by-step explanation:
for two points (x1,y1) (x2, y2)
slope, m = (y2 - y1)/(x2 - x1)
so, for (-1,-10) (-1,-2)
slope = (-2 - (-10))/(-1 -(-1)) = 8/0
slope = undefined
A 10ounce container of milk contains 200 claories how many calories does each ounce of milk have
Each ounce of milk contains 20 calories, because 200/10 = 20.
g(5x + 9) = g(9x + 2)
Answer:
x = 7/4 or x = 1.75 or x = 1 and 3/4
they all mean the same thing but there just in different forms (decimal form, fraction form, and mixed number form)
if The price tag on a trumpet says 104 how much did the store pay for it
Without the markup percentage or discount percentage, it is impossible to calculate the actual cost price the store paid for the trumpet. One needs this additional information to provide a precise answer.
The question "if the price tag on a trumpet says $104, how much did the store pay for it" cannot be answered with the information provided. To calculate how much the store paid for the trumpet, we need additional details such as the markup percentage or the discount percentage. Retail stores typically apply a markup to the cost of the goods they purchase from suppliers to cover their operating expenses and make a profit.
Let's assume the markup percentage is known. For example, if a store generally marks up items by 50%, and the selling price of the trumpet is $104, we can calculate the store's cost using the formula: Cost Price = Selling Price / (1 + Markup Percentage). So the cost would be $104 / (1 + 0.50), which is $69.33.
Without the markup or discount information, it is impossible to determine the exact cost price that the store paid for the trumpet.
1/12 divided by 4 =
Use transformation (-2pie,2pie) with Y=2cos(x)-1
Answer:
See attachment
Step-by-step explanation:
We want to graph
[tex]y = 2 \cos(x) - 1[/tex]
on the interval (-2π, 2π)
First we graph
[tex]y = \cos(x)[/tex]
Then we stretch vertically by a factor of 2 and shift down 1 unit.
Since the amplitude is 2 and the graph is shifted down 1 unit, the range of the transformed graph is
[tex] - 3 \leqslant y \leqslant 1[/tex]
The graph is shown in the attachment