903 kg of potatoes will be delivered to stores in Bronx
Solution:
Given that, lamar has 1354.5 Kilograms of potatoes to deliver equally to 18 stores
12 of the stores are Bronx
Number of stores in Bronx = 12
From given,
Kilograms of potatoe = 1354.5 kg
Total number of stores = 18
Let us first find the kilograms of potato delivered to 1 store
[tex]\text{kg of potato to 1 store } = \frac{\text{Total kg of potato}}{\text{ total number of stores}}[/tex]
Substituting the values we get,
[tex]\text{kg of potato to 1 store } = \frac{1354.5}{18} = 75.25[/tex]
Thus 75.25 kg potato is delivered to 1 store
How many kilograms of potatoes will be delivered to stores in Bronx
Number of stores in bronx is 12, so multiply 75.25 by 12
[tex]\rightarrow 12 \times 75.25 = 903[/tex]
Thus 903 kg of potatoes will be delivered to stores in Bronx
Which number expresses 6.72 as a fraction in simplest form?
Answer: 168/25
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100
. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
168/25
Answer:168/25
Step-by-step explanation: The answer for 6.72 as a fraction in simplest form is 168/25. You can solve this using long division method. There are six 25s in 168 which is 150 and the remaining 18 can become the decimal which is 0.72. Or for simplicity, you can use a scientific calculator to evaluate the result of 168/25.
Starting at the same point, Tom and Juanita go biking in opposite directions. If Tom rides at a speed of 24 mph, and Juanita rides at a speed of 30 mph, how far apart will they be in 3 hours?
Tom and Juanita, starting from the same point and biking in opposite directions for 3 hours, will end up 162 miles apart.
Explanation:Starting from the same point, Tom and Juanita go biking in opposite directions for 3 hours. From what we know, Tom rides at a speed of 24 mph and Juanita rides at a speed of 30 mph.
When an object moves in one direction, its distance travelled is calculated from the formula distance = speed x time. This is because speed is described as the distance travelled per unit time. In this case, Tom travels 24 miles in 1 hour, so in 3 hours, he will cover 24 mph x 3 hours = 72 miles. Juanita will cover 30 mph x 3 hours = 90 miles.
Because they are moving in opposite directions, these distances add together. So in 3 hours, Tom and Juanita will be 72 miles + 90 miles = 162 miles apart.
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Tom and Juanita will be 162 miles apart after 3 hours of biking in opposite directions at their respective speeds.
To solve this problem, we can use the formula for distance, which is the product of speed and time.
Since Tom and Juanita are riding in opposite directions, their distances from the starting point will add up to the total distance between them after a certain amount of time.
The correct total distance apart should be calculated as follows:
Total distance apart = Distance of Tom + Distance of Juanita Total distance apart = 72 miles + 90 miles = 162 miles Upon re-evaluating the calculation, we find that the total distance apart is indeed 162 miles, not 156 miles as initially stated.The correct final answer is:
Total distance apart = 162 miles Therefore, Tom and Juanita will be 162 miles apart after 3 hours of biking in opposite directions at their respective speeds.1/12 divided by 4 =
1-4 Determine the value of the following
5. Find m
Answers:
1) [tex]cos B=\frac{4}{5}=0.8[/tex]
2) [tex]csc A=\frac{5}{3}=1.66[/tex]
3) [tex]sec B=\frac{5}{4}=1.25[/tex]
4) [tex]tan A=\frac{3}{4}=0.75[/tex]
5) [tex]z=38.65\°[/tex]
Step-by-step explanation:
First exercise:
We have a right triangle with the values of each side an we have to find the following trigonometic functions (taking into account the secant function [tex]sec[/tex] is the inverse of the cosine, the cosecant [tex]csc[/tex] is the inverse of the sine):
1) [tex]cos B=\frac{Adjacent-side}{hypotenuse}[/tex]
[tex]cos B=\frac{4}{5}=0.8[/tex]
2) [tex]csc A=\frac{1}{sin A}[/tex]
[tex]\frac{1}{sin A}=\frac{1}{\frac{5}{3}}[/tex]
Then:
[tex]csc A=\frac{5}{3}=1.66[/tex]
3) [tex]sec B=\frac{1}{cos B}[/tex]
[tex]frac{1}{cos B}=\frac{1}{\frac{4}{5}}[/tex]
Then:
[tex]sec B=\frac{5}{4}=1.25[/tex]
4) [tex]tan A=\frac{opposite-side}{adjacent-side}=\frac{3}{4}[/tex]
Then:
[tex]tan A=\frac{3}{4}=0.75[/tex]
Second exercise:
5) Here, we are given another right triangle and we have to find the measure of the angle [tex]z[/tex].
So, according to the figure, we can use the tangent function:
[tex]tan z=\frac{opposite-side}{adjacent-side}[/tex]
[tex]tan z=\frac{8}{10}[/tex]
Finding the value of [tex]z[/tex]:
[tex]z=tan^{-1}\frac{8}{10}[/tex]
[tex]z=38.65\°[/tex]
26
24
The length of the unknown leg is _____
it said it was wrong for me
The length of the unknown leg is approximately 35.4 inches.
The image shows a right triangle with the following dimensions:
The base of the triangle is 24 inches.
The height of the triangle is 26 inches.
We can use the Pythagorean theorem to solve for the length of the missing leg. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs.
Let us call the unknown side "ao".
In this case, we can write the equation as follows:
ao^2 = 24^2 + 26^2
where:
ao is the length of the hypotenuse (unknown)
24 is the length of the base
26 is the length of the height
Simplifying the equation:
ao^2 = 576 + 676
ao^2 = 1252
ao = sqrt(1252)
ao ≈ 35.4 inches
Therefore, the length of the unknown leg is approximately 35.4 inches.
In a class of 40 students, 15 offer physics, 20 offer history and 3 offer both physics and history. How many student offer neither physics nor history?
Answer:
2 students.
Step-by-step explanation:
add together all of the students and then subtract that from 40.
20+15+3 = 38
40-38 = 2
Answer:
3 athdwnts it says
Step-by-step explanation:
5 x 680 using distributive property
I believe it would be (5 x 600)+(5x80) = 3400
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 equation is equivalent for 2x-2+4
Answer:
2x+2 or 2(x+1)
Step-by-step explanation:
2x-2+4=2x+2
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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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.
Through: (3,4) perp. to y = -2x - 4
Heather purchased a motorcycle for $4800 with 40% down. She will make 24
payments of $135.57 at 12% interest. What is the total paid for the motorcycle
including the downpayment?
Answer:
$5952
Step-by-step explanation:
The principal of $4800 will become after 24 months at an interest of 12% APR,
[tex]4800(1 + \frac{2 \times 12}{100}) = 5952[/tex] dollars.
Now, the monthly payment is $135.57 for 24 months.
So, the payment by installment is $(135.57 × 24) = $3253.68.
Therefore, the down payment was $(5952 - 3253.68) = $2698.32.
Therefore, the total paid for the motorcycle including the down payment was $5952. (Answer)
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 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:
x = 3y + 4
3x = 9y + 12
Do these equations have one solution, no solution, or infinitely many solutions?
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Since it's given that x = 3y + 4 we can use this in second expression
3×(3y+4) = 9y + 12 ➡ 9y + 12 = 9y + 12 add the like terms
9y - 9y = 12-12 ➡ 0 = 0 there's infinitely many solutions for second equation
Same goes for first equation.
will make brainiest if you answer the question correctly
Answer:
B, a cold and nasty winter day
Step-by-step explanation:
.
Hello, I'm trying to solve 6x + y = 4, x - 4y = 19. I have found the y but I cant seem to find the x. Plz help and we cant use decimals.
Answer:
[tex]x=\frac{7}{5}[/tex]
[tex]y=-\frac{22}{5}[/tex]
Step-by-step explanation:
Given:
The given expressions are.
[tex]6x+y=4[/tex]
[tex]x-4y=19[/tex]
We need to find x and y values.
Solution:
Equation 1⇒ [tex]6x+y=4[/tex]
Equation 2⇒ [tex]x-4y=19[/tex]
First solve the equation 1 for y.
[tex]6x+y=4[/tex]
[tex]y = 4-6x[/tex] --------(3)
Substitute [tex]y = 4-6x[/tex] in equation 2.
[tex]x-4(4-6x)=19[/tex]
Simplify.
[tex]x-(4\times 4 - 4\times 6x)=19[/tex]
[tex]x-(16-24x)=19[/tex]
[tex]x-16+24x=19[/tex]
Add 16 both side of the equation.
[tex]25x-16+16=19+16[/tex]
[tex]25x=35[/tex]
[tex]x=\frac{35}{25}[/tex]
Divide Numerator and denominator by 5.
[tex]x=\frac{7}{5}[/tex]
Substitute x value in equation 3 and simplify.
[tex]y=4-6(\frac{7}{5})[/tex]
[tex]y=4-\frac{6\times 7}{5}[/tex]
[tex]y=4-\frac{42}{5}[/tex]
[tex]y=\frac{5\times 4-42}{5}[/tex]
[tex]y=\frac{20-42}{5}[/tex]
[tex]y=-\frac{22}{5}[/tex].
Therefore, the value of [tex]x=\frac{7}{5}[/tex] and [tex]y=-\frac{22}{5}[/tex].
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.
Evaluate the expression when c=4.
c²-9c+8
Answer:
-12
Step-by-step explanation:
Answer:
Your answer
Step-by-step explanation:
When c=4. Then,
c²-9c+8
= 4²-9c+8
= 4*4-9c+8
= 16-94+8
= 78+8
= -86 ans
What is 1/4+3/8 what is the answer to that
Answer:
5/8
Step-by-step explanation:
1/4 = 2/8
2/8 + 3/8 = 5/8
Answer:
5/8
Step-by-step explanation
1/4 has a common denominator as 3/8 and when u find the common denominator add and ur good to go
Natalie can send or receive a text message for $0.15 or get an unlimited number for $5. Write and solve the inequality to find how many messages she can send and receive so the unlimited plan is cheaper than paying for each message
[tex]33\frac{1}{3}[/tex] number of messages she can send and receive so the unlimited plan is cheaper than paying for each message
Solution:
Natalie can send or receive a text message for $0.15
Natalie can get an unlimited number for $5
To find: Number of messages she can send and receive so the unlimited plan is cheaper than paying for each message
Let "x" be the number of messages
Cost for sending and receiving message = $ 0.15
Cost for unlimited plan = $ 5
Then, according to given, we frame a inequality as:
The condition is: unlimited plan is cheaper than paying for each message
Therefore,
(number of messages)(Cost for sending and receiving message) is greater than or equal to Cost for unlimited plan
[tex]x \times 0.15\geq 5\\\\0.15x\geq 5\\\\\text{Solve for "x" }\\\\\text{Divide both sides of equation by 0.15 }\\\\\frac{0.15x}{0.15}\geq \frac{5}{0.15}\\\\x\geq 33.33\\\\x\geq 33\frac{1}{3}[/tex]
Thus for [tex]33\frac{1}{3}[/tex] messages ,the unlimited plan is cheaper than paying for each message
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).
a pitcher throws a fastball to strike out the batter. his pitch takes only 0.63 seconds to reach the catchers mitt. how fast did the ball travel the 60ft to the plate?
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:
What is the distance between (4, 7) and (2, 2)?
Johnny spends half of his weekly paycheck on
groceries. He then earns $55 doing yard work for
his grandma. He ends the week with $216. How
much is his paycheck?
Answer:
$ 322
Step-by-step explanation:
x = his paycheck
x - 1/2x + 55 = 216
1/2x + 55 = 216
1/2x = 216 - 55
1/2x = 161
x = 161 * 2
x = $ 322 <===
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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Irrational conjugate theorem
Answer:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
Step-by-step explanation:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)
The Irrational Conjugate Theorem states that if a complex number is irrational, then its conjugate is also irrational. It is used in mathematics to prove this relationship. The theorem is based on the definition of the conjugate of a complex number, and a proof by contradiction approach can be used to prove it.
The Irrational Conjugate Theorem is used in mathematics to prove that if a complex number is irrational, then its conjugate is also irrational. This theorem is based on the concept of the rational and irrational parts of a complex number. Let's define a complex number as z = a + bi, where a and b are real numbers and i is the imaginary unit. The conjugate of z, denoted by [tex]\bar Z[/tex], is obtained by changing the sign of the imaginary part. So, if z = a + bi, then [tex]\bar Z = a - bi.[/tex] The Irrational Conjugate Theorem states that if a + bi is an irrational complex number, then a - bi (the conjugate) is also irrational.
To prove this theorem, we can use a proof by contradiction approach. Let's assume that a + bi is irrational and a - bi (the conjugate) is rational. We can then use valid reasoning to arrive at contradictory results. For example, we can add a + bi and a - bi to get 2a, which is a rational number. However, this contradicts our initial assumption that a + bi is irrational. Therefore, our assumption must have been false and the theorem is proven.
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