Mitchel can transport a 1:1 ratio of goats to calves in his livestock trailer, equating to 11 goats and 11 calves per trip, given their respective average weights of 90 and 360 pounds and the trailer's weight limit of 5000 pounds.
Explanation:Mitchel has a livestock trailer with a weight limit of 5,000 pounds. Given that each goat weights about 90 pounds and each calf about 360 pounds, we need to calculate how many of each animal the trailer can accommodate within its weight limit, while taking into account their average weights.
Let's look at one possible solution, using goats and calves in a 1:1 ratio. This would be 90 + 360 = 450 pounds per set of goat and calf. To fit within the trailer's weight limit, we then divide the total weight capacity by the weight of one set of animals: 5,000 / 450 = 11.11, which we round down to 11. This tells us that Mitchel can transport 11 goats and 11 calves in his trailer for each trip.
It's important to mention that this distribution can be adjusted according to need, as long as the total weight of the animals is kept below the trailer's weight limit.
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PLEASE HELP ASAPPPP ILL DO BRAINLISETT PLSS HELPP
The slope of the line that passes through two points is
(the difference in 'y') divided by (the difference in 'x').
The two points are: (3, -4) and (5, -7)
The difference in 'y' is . . . (-7) - (-4) = -3
The difference in 'x' is . . . (5) - (3) = 2
The slope of the line through those two points is (-3) / (2) .
That's the 3rd choice on the list.
Answer:
The slope of the line that passes through two points is
(the difference in 'y') divided by (the difference in 'x').
The two points are: (3, -4) and (5, -7)
The difference in 'y' is . . . (-7) - (-4) = -3
The difference in 'x' is . . . (5) - (3) = 2
The slope of the line through those two points is (-3) / (2) .
That's the 3rd choice on the list.
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Ben just purchased a new shirt for $27.20 during a 15% off sale what was the original price of the shirt
Final answer:
To determine the original price of the shirt, divide the sale price of $27.20 by 85% (0.85 in decimal form) because Ben paid this amount after a 15% discount. The original price was $32.00.
Explanation:
To find the original price of the shirt before the 15% off sale, we can follow these steps:
Recognize that the price Ben paid ($27.20) is 85% of the original price because the shirt was purchased during a 15% off sale.Calculate the original price by dividing the sale price by 85% (or 0.85 in decimal form).The calculation is then $27.20 ÷ 0.85.After performing the division, we find the original price of the shirt is $32.00.Therefore, the original price of the shirt was $32.00 before the 15% discount was applied.
I need a bit of help with this question.
Sorry that the image loaded upside down!
Answer:
Remember, perimeter means addition. And area means multiplying. I see 16 and 12, so do you want me to add 16 and 12 because I see x in. But, 16 plus 12 equal 28. So, 28 in.
What is the value of x?
Answer: x = 75
Step-by-step explanation: The first thing to note is that what we have here is a quadrilateral. In other words, all the internal angles sum up to 360°. Also take note that the figure is a parallelogram, which means two sides are parallel to each other. Line AD is parallel to BC, and line DC is parallel to AB. That makes angle D equal to angle B (alternate angles), and angle A equals Angle C.
If the sum of the interior angles of a quadrilateral equals 360, then
x + (x + 30) + x + (x + 30) = 360
x + x + 30 + x + x + 30 = 360
Collecting like terms, we have
x + x + x + x + 30 + 30 = 360
4x + 60 = 360
Subtract 60 from both sides of the equation
4x = 300
Divide both sides of the equation by 4
x = 75.
The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of x.
The value of x is 81
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360°
The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateralThe measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateralThe measure of ∠3 is 25% of the sum of the angle measures of the quadrilateralWe need to find the value of x∵ The figure have 4 sides
∴ The figure is a quadrilateral
∵ The sum of the measures of the interior angles of a
quadrilateral is 360°
- Add the four angles and equate the sum by 360
∴ m∠1 + m∠2 + m∠3 + x = 360
∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral
∴ m∠1 = 40% × 360 = [tex]\frac{40}{100}[/tex] × 360 = 144°
∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral
∴ m∠2 = 12.5% × 360 = [tex]\frac{12.5}{100}[/tex] × 360 = 45°
∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral
∴ m∠3 = 25% × 360 = [tex]\frac{25}{100}[/tex] × 360 = 90°
- Substitute these values in the equation above
∴ 144 + 45 + 90 + x = 360
- Add the like terms in the left hand side
∴ 279 + x = 360
- Subtract 279 from both sides
∴ x = 81°
The value of x is 81
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Which car gets the best gas mileage, or most miles per gallon? Car Mileage car A 200 miles on 8 gallons car B 28 miles on 1 gallon car C 279 miles on 9 gallons car D 140 miles on 7 gallons car A car B car C car D
Answer:
car C gets the best gas mileage
Step-by-step explanation:
Final answer:
To find the car with the best gas mileage, the miles driven are divided by the gallons used for each car. Car A gets 25 MPG, Car B gets 28 MPG, Car C gets 31 MPG, and Car D gets 20 MPG. Car C has the best gas mileage with 31 MPG.
Explanation:
The student's question is about calculating and comparing the gas mileage (miles per gallon or MPG) of different cars to determine which one is the most fuel-efficient. To answer this, we calculate the MPG for each car by dividing the number of miles driven by the gallons of gas used and then compare the results.
Car A: 200 miles / 8 gallons = 25 MPG
Car B: 28 miles / 1 gallon = 28 MPG
Car C: 279 miles / 9 gallons = 31 MPG
Car D: 140 miles / 7 gallons = 20 MPG
Upon comparison, Car C has the highest MPG at 31 miles per gallon, making it the most fuel-efficient car among those listed.
simplify (-4)+(-3)+10 (-1)
Answer:
hope this will help u . ..... plz mark me brainliest
Answer:
-17
Step-by-step explanation:
-4 - 3 - 10 = -17
ALPHA WHERE ARE YOU?
An equation is shown below:
7(2x − 3) = 1
Which of the following correctly shows the first two steps to solve this equation?
Step 1: 9x − 7 = 1; Step 2: 9x = 8
Step 1: 9x + 4 = 1; Step 2: 9x = −3
Step 1: 14x − 3 = 1; Step 2: 14x = 4
Step 1: 14x − 21 = 1; Step 2: 14x = 22
Answer:
Step 1: 14x − 21 = 1; Step 2: 14x = 22
Explanation:
7(2x−3)=1
Step 1: Simplify both sides of the equation
7(2x−3)=1
(7)(2x)+(7)(−3)=1(Distribute)
14x+−21=1
14x−21=1
Step 2: Add 21 to both sides
14x−21+21=1+21
14x=22
Step 3: Divide both sides by 14
14x / 14 = 22 / 14
x = 22 / 14: x = 11/7
Answer:
The last option.
Step-by-step explanation:
When distributed, 7 times 2x becomes 14x and 7 times -3 is -21.
Once you add -21 to both sides, 14x is left alone on one side while 22 is on the other
What is 2x minus negative x
Answer:
3x
Step-by-step explanation:
2x--x is the same thing as 2x+x which equals 3x. Hope that helped. ;P
2x minus negative x simplifies to 2x + x, which further simplifies to 3x.
To simplify 2x - (-x), we can apply the concept of subtracting a negative number, which is equivalent to adding its positive counterpart.
The expression -(-x) can be rewritten as +x, since double negation cancels out. Therefore, the expression becomes 2x + x.
Combining like terms, we have 2x + x = 3x.
So, 2x - (-x) simplifies to 3x.
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2-8x=10
looking for solution
Answer:
x=-1
Step-by-step explanation:
2-8x=10 subtract both sides by 2
-8x=8 divide both sides by -8
x=-1
Answer:
x = -1
Step-by-step explanation: 2 - 8x = 10
-2. -2
-8x. 8
Divide -8. -8
x = -1
Farmer Brown planted corn and wheat on 370 acres of his land.The cost and planting and harvesting corn,c,is $280 per acre.The cost of planting and harvesting wheat,w,is $135 per acre.If Farmer Brown's total cost was $83,300,how many acres of corn than wheat did he plant?
Answer:
The number of acres of corn planted was 230 and the number of acres of wheat planted was 140
Step-by-step explanation:
Let
c ----> the number of acres of corn
w ----> the number of acres of wheat
we know that
Farmer Brown planted corn and wheat on 370 acres of his land
so
[tex]c+w=370[/tex] -----> equation A
The cost and planting and harvesting corn,c,is $280 per acre
The cost of planting and harvesting wheat,w,is $135 per acre
The Farmer Brown's total cost was $83,300
so
[tex]280c+135w=83,300[/tex] ----> equation B
solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (230,140)
see the attached figure
therefore
The number of acres of corn planted was 230 and the number of acres of wheat planted was 140
Farmer Brown planted 230 acres of corn and 140 acres of wheat.
Explanation:To determine how many acres of corn and wheat Farmer Brown planted, we can set up a system of equations. Let x be the number of acres of corn and y be the number of acres of wheat. From the given information, we have the following equations:
Cost of planting and harvesting corn: 280x
Cost of planting and harvesting wheat: 135y
Total cost: 280x + 135y = 83,300
We also know that the total number of acres planted is 370 acres, so we have the equation:
x + y = 370
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
From the second equation, we can solve for x in terms of y: x = 370 - y
Substitute this expression for x in the first equation:
280(370 - y) + 135y = 83,300
Simplify and solve for y:
103,600 - 280y + 135y = 83,300
-145y = -20,300
y = 140
Substitute the value of y back into the second equation:
x + 140 = 370
x = 230
Therefore, Farmer Brown planted 230 acres of corn and 140 acres of wheat.
Ten more shoes than Rubens
Answer:
What Do You Mean
Step-by-step explanation:
half an avocado has about 160 calories. how many calories do a dozen have?
Answer:
3,840 calories
Step-by-step explanation:
a = an avocado's calories
Given: 1/2a = 160 calories
Multiply both sides of the equation by 2
a = 320 calories
We need to find the amount of calories in a dozen (12) avocados so multiply both sides of this equation by 12
12a = 3,840 calories
Hope this helps :)
Evaluate expression 15/x for x=3
Answer:
x=5
Step-by-step explanation:
15÷5=3
that is the right answer
Answer:
5
Step-by-step explanation:
Put 3 where x is, and do the arithmetic.
[tex]\dfrac{15}{x}=\dfrac{15}{3}=5[/tex]
SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determine what percent of the scores lie between 433 and 523.
34% of the scores lie between 433 and 523.
Solution:
Given data:
Mean (μ) = 433
Standard deviation (σ) = 90
Empirical rule to determine the percent:
(1) About 68% of all the values lie within 1 standard deviation of the mean.
(2) About 95% of all the values lie within 2 standard deviations of the mean.
(3) About 99.7% of all the values lie within 3 standard deviations of the mean.
[tex]$Z(X)=\frac{x-\mu}{\sigma}[/tex]
[tex]$Z(433)=\frac{433-\ 433}{90}=0[/tex]
[tex]$Z(523)=\frac{523-\ 433}{90}=1[/tex]
Z lies between o and 1.
P(433 < x < 523) = P(0 < Z < 1)
μ = 433 and μ + σ = 433 + 90 = 523
Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.
i. e. [tex]((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%[/tex]
Here μ to μ + σ = [tex]\frac{68\%}{2} =34\%[/tex]
Hence 34% of the scores lie between 433 and 523.
Using the Empirical Rule for normally distributed scores, about 34% of SAT verbal scores lie between 433 (mean) and 523 (mean plus one standard deviation).
Explanation:The Empirical Rule, also known as the 68-95-99.7 rule, applies to a normally distributed set, as we have here with SAT verbal scores. This rule states that approximately 68% of the data falls within one standard deviation from the mean in a normal distribution.
In this scenario, the mean (average) SAT verbal score is 433, the standard deviation is 90. We're going to find what percent of the scores lie between 433 (mean) and 523 (mean plus one standard deviation).
According to the Empirical Rule, approximately 68% of the scores fall within one standard deviation of the mean (both above and below). So about 34% of the scores fall between the mean and one standard deviation above the mean. Thus, about 34% of the students scored between 433 and 523 on the SAT verbal section.
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Which numbers are prime numbers?
Check all that are true.
19
29
17
23
25
none of the above
Final answer:
Prime numbers are numbers that are only divisible by 1 and themselves. The prime numbers in the list are 19, 29, 17, and 23.
Explanation:
In mathematics, prime numbers are numbers that are only divisible by 1 and themselves. They have exactly two distinct positive divisors. To determine if a number is prime, you can check if it is divisible by any number less than itself.
Using the list of numbers given, we can determine which ones are prime:
19 - Prime
29 - Prime
17 - Prime
23 - Prime
25 - Not prime (divisible by 5)
Therefore, the prime numbers in the list are: 19, 29, 17, and 23. The correct statement is: none of the above.
Given that cos 0 = and sin 0 = - 15
What is the value of tan0?
Step-by-step explanation:
[tex] \because \: \cos \theta = \sin \theta = - 15 \\ \\ \therefore \: \: \: \cos \theta = - 15 \: \: \\ \: \: \: \: \: \: \: and \: \: \\ \: \: \: \: \: \: \: \: \sin \theta = - 15 \\ \therefore \: \frac{\sin \theta }{\cos \theta} = \frac{ - 15}{ - 15} \\ \therefore \: \huge \purple{ \boxed{\tan \theta = 1}}[/tex]
(3)-2
Evaluate exponent
Answer:
[tex] 3^{-2} = \dfrac{1}{9} [/tex]
Step-by-step explanation:
Definition of negative exponent:
[tex] a^{-n} = \dfrac{1}{a^n} [/tex]
In our case, a = 3 and -n = -2.
[tex] 3^{-2} = \dfrac{1}{3^2} [/tex]
Now we just evaluate the power in the denominator.
[tex] 3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9} [/tex]
The space capsule is moving up at a speed of 80 miles per hour a few seconds
after launch. What is the space capsule's velocity?
Answer:
117.3 feet per second.
Step-by-step explanation:
Velocity is the speed of an object in a definite direction. In mechanics, velocity is a vector quantity. It requires magnitude and direction to make any sense. Velocities are expressed per unit time.
The SI unit of time is the second.
Now, suppose we need the velocity in feet per second. A simple calculation will help:
feet per second = miles per hour × 1.466667 [ in other words, one mile per hour equals 1.466667 feet per second]
For a space capsule moving at 80 miles per hour, the velocity is given by
= 80 × 1.466667
= 117. 3 ft/s [feet per second]
Answer:
80 miles
Step-by-step explanation:
it is 80 miles bc it asked for its speed and that is 80 also i did this on iready a while ago :)
Daniel gets a paycheck every 444 weeks. He works xxx hours each week.
How many hours does Daniel get paid for on each paycheck?
Answer:4 divided by x hours
Step-by-step explanation:
The number of hours that Daniel gets paid for on each paycheck will be 4x.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Every 4 weeks, Daniel receives a paycheck. He puts in x hours a week at work.
The number of hours that Daniel gets paid for on each paycheck is given as,
⇒ 4 · x
⇒ 4x
The number of hours that Daniel gets paid for on each paycheck will be 4x.
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The perimeter of a rectangular painting is 344 centimeters. If the length of the painting is 91 centimeters, what is its width?
Answer:b = 81
Step-by-step explanation:
perimeter = 2(l+b)
344= 2(91 + b)
344 =182 + 2b
344 -182 =2b
162 = 2b
b = 162/2
b= 81
Answer:
perimeter = 2(l+b)
344= 2(91 + b)
344 =182 + 2b
344 -182 =2b
162 = 2b
b = 162/2
b= 81
Step-by-step explanation:
. The Portman's kitchen table is
rectangular. The table is 4 feet wide
and 8 feet long. Mrs. Portman bought a
tablecloth that will cover 56 square feet.
Is the tablecloth large enough to cover
the table? Explain.
Answer:
Yes
Step-by-step explanation:
The tablecloth is large enough as when you multiply 4×8=32 square feet. Thus meaning a 56 square foot table cloth would be enough.
4×8=32
The locations in a city are mapped out on a grid, where the origin represents the city center. A traffic helicopter travels due north and then due east to get to the location at (-3,4) to the location at (7,13).
About how many fewer units would the helicopter have traveled if it went directly from one location to the other?
Answer:
Helicopter have traveled 5.55 units of distance approximately if it went directly from one location to the other.
Step-by-step explanation:
We are given the following in the question:
A traffic helicopter travels due north and then due east to get to the location at (-3,4) to the location at (7,13).
The attached image shows the path of helicopter.
Distance Formula:
[tex](x_1,y_1), (x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
Distance traveled by helicopter =
[tex]d((-3,4),(-3,13)) + d((-3,13),(7,13))\\\\=\sqrt{(-3+3)^2 + (13-4)^2} + \sqrt{(7+3)^2 + (13-13)^2}\\= 9+10\\= 19 \text{ units}[/tex]
If the helicopter goes directly:
[tex]d((-3,4),(7,13))\\\\=\sqrt{(7+3)^2+(13-4)^2}\\\approx 13.45 \text{ units}[/tex]
Difference in distances =
[tex]19 - 13.45 = 5.55\text{ units}[/tex]
Thus, helicopter have traveled 5.55 units of distance approximately if it went directly from one location to the other.
Answer:
i had this question in a quiz on edge and got a 100% on the quiz
here is your answer
Step-by-step explanation:
What is 6*9 + 6 + 9?
Answer:
69
Step-by-step explanation:
step 1: 6 x 9 =54
step 2: 54 + 6 = 60
step 3: 60 + 9 = 69
What is 25 more than 50 as an expression
Answer:75
Step-by-step explanation: 50 + 25
Nine members of the drama club are going to New York to see a broadway play as a group. Total cost for tickets, including a $15.00 handling fee, will be no more than $258.00. What is the maximum cost of each ticket?
Answer: 27
Step-by-step explanation:
what is 298.8 subtracted by 4.09
Answer:
294.71
Step-by-step explanation:
298.8-4.09=294.71
Combine the whole number and the decimal parts to get the final answer: 294.71.
What is the product?
-84x12
-84x24
84x12
84x24
Step-by-step explanation:
let’s start with the positive number because it’s easier :
84x12 = 1 008
84×24 = (84×12)×2 = 1008×2 = 2 016
-84x12 = -(84x12) = -1 008
-84x24 = -(84x24) = -2016
Final answer:
The product of the given expressions is found by multiplying the numbers together. The product of -84x12 is -1008, -84x24 is -2016, 84x12 is 1008, and 84x24 is 2016.
Explanation:
The product of -84x12 is -1008. To find the product, simply multiply the two numbers together. In this case, -84 multiplied by 12 gives us -1008.
The product of -84x24 is -2016. Similarly, multiplying -84 by 24 gives us -2016.
The product of 84x12 is 1008. When multiplying a positive number and a negative number, the product will be negative. In this case, 84 multiplied by -12 gives us -1008.
Finally, the product of 84x24 is 2016. When multiplying two positive numbers, the product will also be positive. Therefore, 84 multiplied by 24 equals 2016.
Solve the equation 15=7-|2x|
Answer:
4
Step-by-step explanation:
15 = 7 - /2x/
Subtract 7 from both sides ( if it was negative you would add it)
(15-7) = (7 - 7) -/2x/ now the seven is no longer there
8 = -/2x/
Now divide 2 from both sides
( 8 / 2 ) = - /(2 / 2)x/
4 = -/x/
4 = -x
Now the two is no longer there but the x would still be there because you divided it by 2 and not 2x
To solve the equation 15 = 7 - |2x|, consider two cases: 2x ≥ 0 and 2x < 0. In case 1, x = -4. In case 2, x = 4.
Explanation:To solve the equation 15 = 7 - |2x|, we need to eliminate the absolute value. To do this, we can consider two cases: when 2x is positive and when 2x is negative.
Case 1: 2x ≥ 0
In this case, the equation becomes 15 = 7 - 2x, which simplifies to 2x = -8. Solving for x, we get x = -4.
Case 2: 2x < 0
In this case, the equation becomes 15 = 7 + 2x, which simplifies to 2x = 8. Solving for x, we get x = 4.
Therefore, the solution to the equation 15 = 7 - |2x| is x = -4 or x = 4.
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What are the roots of the polynomial equation x cubed minus 10 x = negative 3 x squared + 24? Use a graphing calculator and a system of equations.
–24, –3, 12
–12, 3, 24
–4, –2, 3
–3, 2, 4
Option C: -4, -2, 3 are the roots of the polynomial.
Explanation:
The equation is [tex]x^{3} -10x=-3x^{2} +24[/tex]
Now, Adding [tex]3x^{2}[/tex] on both sides, we have,
[tex]x^{3} +3x^{2} -10x=24[/tex]
Subtracting 24 from both sides of the equation, we have,
[tex]x^{3} +3x^{2} -10x-24=0[/tex]
Solving the equation using synthetic division, we have,
[tex](x-2)(x^{2} +x-12)=0[/tex]
Now, we shall factor [tex](x^{2} +x-12)[/tex], we have,
[tex](x+4)(x-3)[/tex]
Thus, we have,
[tex](x+2)(x-3)(x+4)=0[/tex]
Solving each factor, we have,
[tex]$\begin{aligned} x+2 &=0 \\ x &=-2 \end{aligned}$[/tex] and [tex]\begin{array}{r}{x-3=0} \\{x=3}\end{array}[/tex] and [tex]\begin{aligned}x+4 &=0 \\x &=-4\end{aligned}[/tex]
Thus, the roots are -2,3 and 4.