Answer:
1/4 ft = 3 inches
Step-by-step explanation:
Answer:
3 in
Step-by-step explanation:
12 in
Multiply (1/4 ft) by the conversion factor ------------
1 ft
obtaining 3 in (answer)
An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
The relationship between airplane 1 and airplane 2 is an illustration of objective function
14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
How to determine the number of each type of airplane?Represent P1 and P2 with x and y, respectively.
From the question, we ave have the following parameters:
x y Minimum
First class 20 18 400
Tourist 50 30 900
Economy 110 44 1500
Cost 10000 85000
So, the objective cost function to minimize would be:
C = 10000x + 8500y
And the constraints are:
20x + 18y ≥ 400
50x + 30y ≥ 900
110x + 44y ≥ 1500
x, y ≥ 0
Next, we plot the graphs of the constraints
From the graph (see attachment), we have the following feasible solutions
(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}
Substitute these values in the objective function.
C(5,22) = 10000 * 5 + 8500 * 22 = 237000
C(9,13) = 10000 * 9 + 8500 * 13 = 200500
C(14,7) = 10000 * 14 + 8500 * 7 = 199500
The minimum value is:
C(14,7) = 199500
Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
Read more about objective function at:
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The equation of straight line passing through the point (1,2) and parallel to the line y = 3x + 1 is (a) y = 3x - 1 (b) y = -3x +1 (c) y = -3x - 1 (d) y = 3x + 1
Answer:
the answer is y=-3x+5
since it's parallel, the slope is the same. so m=-3
use point slope formula y-y1=m(x-x1) and plug in the slope and the point
y-2=-3(x-1)
y-2=-3x+3
y=-3x+5
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97
Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.
Answer:
a. yes
b. yes
c. yes
d. no
a.
Solve the equation by rearranging
-2 + x = 0
x = 2
b.
If x < 2, x - 2 will always be negative
x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true
c.
If x > 2, x - 2 will always be positive
d.
If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2
These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2
Determine if these triangles are congruent. If so, state if they are congruent by ASA or AAS.
Answer:
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent. ASA
Step-by-step explanation:
Answer:
They are congruent with the rule ASA
Step-by-step explanation:
Find the 19th term for the arithmetic sequence in which the 23rd term is 9 and the 11th term is -75 .
A) -19
B) -27
C) 27
D) 19
Answer:
A) -19
Step-by-step explanation:
Basics first:
An arithmetic sequence progresses with numbers being added or subtracted by a constant value.
After understanding that, as soon as we have any two values of the sequence we can find the constant value which is added or subtracted.
Look:
The 11th term is -75.
12 terms later (23th), the term is 4.
In other words, after "jumping" 12 terms, we went up 84 numbers (75 + 9)
To find the size of each "jump" we just divide the total number variation (84) by the number of jumps (12)
84/12 = 7
Now that we know the size of each jump, we can either jump 4 terms back from the 23rd term or jump 8 terms forward from the 11th term.
I will jump 4 terms back from the 23rd term:
19th term = 23rd term - 4 jumps
19th term = 9 - 4 * 7 //Remember that 7 is the jump size
19th term = 9 - 28
19th term = -19
Answer:
-19
Step-by-step explanation:
I just did the test
What is the percent of change from 10 to 5?
Answer:
50% decrease
Step-by-step explanation:
[tex]\dfrac{(V_2-V_1)}{|V_1|} \times 100[/tex]
[tex]= \dfrac{(5 - 10)}{|10|} \times 100[/tex]
[tex]= \dfrac{-5}{10} \times 100[/tex]
[tex]= -0.5 \times 100[/tex]
[tex]= -50\% \; \text{change}[/tex]
[tex]= 50\% \; \text{decrease}[/tex]
Answer: 50 i guess not sure
Step-by-step explanation: hope this helps of not i hope someone can help you ok :)
Can someone please help me find the answers to this. Maybe you could attach a picture with the answers, or find an answer key online and show me how to see it. Please help!
What is the key feature of simple interest?
Answer:
When you make a payment on a simple interest loan, the payment first goes toward that month's interest, and the remainder goes toward the principal. Each month's interest is paid in full so it never accrues.
Step-by-step explanation:
Can someone answer this
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3
Given P(E) = 0.15, what is P(E')?
Answer:
0.85
Step-by-step explanation:
P(E)+P(E')=1
SO, P(E')=1-P(E)
OR,P(E')=1-0.15
PLEASE MARK MY ANSWER AS BRAINLIEST.
= 0.85
What is the value of x?
(5x)
(3x+28)
Answer:
14
Step-by-step explanation:
if two sides are the same, their angle will also be the same
therefore
5x=3x+28
5x-3x=28
2x=28
x=14
The value of x in the triangle whose two sides are equal and the measure of angles is (5x)° and (3x + 28)° is 14.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The measures of the angles are (5x)° and (3x + 28)°,
As given the two sides of the triangle are equal, then the opposite angles will be equal,
Use the above concept and calculate the value of x as shown below,
5x = 3x + 28
Solve the above equation,
5x - 3x = 28 (Transform variable on the left side)
2x = 28
x = 28 / 2
x = 14
Thus, the value of x is 14.
To know more about the expression:
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2y-(y+6)=-3y + 1. Solve for y
2y-(y+6) (-2y)= -3y +1 (-2y) [Subtract both sides by 2y]
(-(y+6))/-1 = (-5y + 1)/-1 [Divide both sides by -1]
y + 6 (-y+1) = 5y - 1 (-y+1) [Subtract both sides by y and add 1 on both sides]
7(/4) = 4y(/4) [Divide both sides by 4]
y = 7/4
(Double check the work)
2(7/4) - ((7/4)+6) = -3(7/4) + 1
3.5 - 7.75 = -5.25 + 1
-4.25 = -4.25 (correct)
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
2.5, 8.5, 14.5, 20.5, ...; 30th term
Answer: We have an arithmetic sequence: $$ 2.5, 8.5, 14.5, 20.5,
Step-by-step explanation: Hope this helps :)
Answer:
176.5
Step-by-step explanation:
So this sequence adds by 6 every time. To find the 4th term its 6*3 = 18 + 2.5 = 20.5
So to find the 30th term we do 6*29 + 2.5 = 176.5
Which expression is equivalent to (10x)^-3
Answer:
[tex]\frac{1}{1000x^{3} }[/tex]
Step-by-step explanation:
Use the Negative Power Rule which is [tex]x^{-a} =\frac{1}{x^{a}}[/tex]
So we write this as [tex]\frac{1}{(10x)^3}[/tex]
Then we use the Multiplication Distributive Property which is [tex](xy)^{a} =x^ay^a[/tex]
So we write this as [tex]\frac{1}{10^{3} x^{3} }[/tex]
Then we simplify to write it as [tex]\frac{1}{1000x^{3} }[/tex]
find the missing side length. giving BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
It is a right angle!
61 + 14 = 75
90 - 75 = 15
Hope this helps!!! :))
help this question pls I mark pro brainlinest
Answer:
The third option
Explanation:
1: 9 cubes
-> Just counting the ones shown!
-> Not even anything, haha
2: 15 cubes
-> 5 * 3 = 15
-> Area of the bottom or top
3: 45 cubes
-> 15 * 3 = 45
-> Volume!
Volume is base times height (base = length times width) so the third option must be correct.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Solve the system of equations.
y = 6x
y= x^2 +5
Comparing fractions with different denominators
1. [tex] \frac{2}{3} and \: \frac{5}{6} [/tex]
2. [tex] \frac{3}{4} and \: \frac{2}{3} [/tex]
The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}
Answer:
18
Step-by-step explanation:
The solution set of the equation will be;
⇒ x = 18
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''2/3 of a number is 12."
Now,
Since, The expression is,
''2/3 of a number is 12."
Let a number = x
So, We can formulate;
⇒ 2/3 of x = 12
⇒ 2/3 × x = 12
⇒ 2x = 12 × 3
⇒ 2x = 36
⇒ x = 36/2
⇒ x = 18
Thus, The solution set of the equation will be;
⇒ x = 18
Learn more about the mathematical expression visit:
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[tex]-12t ² + 40t[/tex]
Answer:
1.15
Step-by-step explanation:
tan θ=−4/7, and 270°<θ<360°
θ is in 4th quadrant
sec θ = 8.06 / 7 = 1.15
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
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For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles
Answer:
I’m not sure
Step-by-step explanation:
Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.
Answer:
purrrrrrrfect
Step-by-step explanation:
Count by ones from 392
Answer:
literally just count to 392 bro
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393
:))......... I hope I did this right.... hehe..... have a good day ~
what is 5x + 1/10 * 10 if X= 10
Answer:
501
Step-by-step explanation:
Answer: 51
Step-by-step explanation:
Find the scale factor in this proportional.
1/8 = 20/160
Answer: 20
Step-by-step explanation:
A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.
Find the L.C.M of =
A) 12
B) 1/2
C) 7
D) 24
Answer:
d.
Step-by-step explanation:
24/(3/4) = 32
24/ (6/5) = 20
24/(4/15) = 90
