Answer:
There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.
Two vehicles start from the same point traveling in the same direction. One vehicle travels 55.5 miles per hour (mph) and the other 45 ¼ mph. When will the two cars be 350 miles apart?
The number of hours after which the cars will be 350 miles apart is 34 hours.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
Vehicle 1.
Speed = 55.5 mph
Distance(1) = 55.5 x Time
Vehicle 2.
Speed = 45(1/4) mph
Distance(2) = 45(1/4) x Time
The difference in the distance = 350 miles.
Distance(1) - Distance(2) = 350
55.5 x Time - 45(1/4) x Time = 350
55.5 x Time - (181/4) x Time = 350
(55.5 - 181/4) x Time = 350
Time = 350 / (55.5 - 45.25)
Time = 350 / 10.25
Time = 34 hours.
Thus,
The car will be 350 miles apart after 34 hours.
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Jim has a toolbox with a volume of 9,072 cubic inches. The height of the toolbox is 14 inches and the width of toolbox is 1 foot.
Answer: [tex]54\ in.[/tex]
Step-by-step explanation:
Given
The volume of the toolbox is [tex]9072\ in.^3[/tex]
The height of the toolbox is [tex]h=14\ in.[/tex]
The width of the toolbox is [tex]w=1\ ft\ or\ 12\ in.[/tex]
Suppose the length of the box is [tex]l[/tex]
The volume of the toolbox is given by [tex]V=l\times w\times h[/tex]
Insert the value to find the length
[tex]\Rightarrow 9072=14\times 12\times l\\\\\Rightarrow l=\dfrac{9072}{168}\\\\\Rightarrow l=54\ in.[/tex]
The length of the box is [tex]54\ in.[/tex]
Answer:
45
Step-by-step explanation:
The equation yˆ=−2. 5x+222. 5 models the amount of cholesterol, LDL , for a person, in mg/dl , where x is the time spent exercising per day, in minutes. According to the regression equation, what is the amount of cholesterol for a person exercising 20 minutes a day?
61. 5 mg/dl
81. 5 mg/dl
172. 5 mg/dl
272. 5. 5 mg/dl
The equation y^ = -2.5x + 222.5 models the amount of cholesterol, LDL, for a person in mg/dl, where x is the time spent exercising per day in minutes.
What in mathematics is a quadratic equation?
Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
To find the amount of cholesterol for a person exercising 20 minutes a day, we need to substitute x = 20 into the equation:
y^ = -2.5(20) + 222.5
Solving this equation, we get:
y^ = -50 + 222.5
y^ = 172.5
So, the amount of cholesterol for a person exercising 20 minutes a day is 172.5 mg/dl.
Therefore, the answer is 172.5 mg/dl
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What is the surface area of a cone that is 10m tall and has a radius of 6
Answer:
332.92 m
Step-by-step explanation:
A=πrl+πr2
Please help☡☡
A drawing of a sailboat was made using a rectangle and two right triangles, as shown. ,6 cm 2 cm 3 cm 2.5 cm 12 cm What is the area of the drawing of the sailboat square centimeters? 15 cm2 30 cm2 45 cm2 60 cm2
Answer:
45cm2
Step-by-step explanation:
My teacher reveiwed this problem after the test :)
whoever helps me with this will get 10 points.
Answer:
The answer is 1/4.
I wish you good luck.
Answer: it's hard i thought i could do it but nope dang it
Simplifying algebraic expression
Answer:
-33
Step-by-step explanation:
Given algebraic expression:
[tex]5c-9c+3[/tex]
To simplify the given algebraic expression using c = 9, substitute the given value of "c" into the expression and solve:
[tex]\implies 5(9)-9(9)+3[/tex]
[tex]\implies 45-81+3[/tex]
[tex]\implies -36+3[/tex]
[tex]\implies -33[/tex]
Answer:
[tex] \sf \: 5c - 9c + 3 = - 33[/tex]
Step-by-step explanation:
Given information,
→ 5c - 9c + 3
→ where c = 9
Let's simplify the expression,
→ 5c - 9c + 3
→ 5(9) - 9(9) + 3
→ (5 × 9) - (9 × 9) + 3
→ 45 - 81 + 3
→ 45 - 78
→ -33 => final value
Hence, the final value is -33.
help meeee??!??!?! pleasee
Answer:
Option B, y = -x + 7
Hope this helps! Have a good day!
Given that € 1 = £0.72
a) How much is € 410 in £?
Answer:
x = 292.2 pounds (£)
Step-by-step explanation:
Write and solve an equation of ratios:
€ 1 £0.72
--------- = ----------
€410 x
Cross-multiplying, we get:
x = 292.2 pounds (£)
A 90 clockwise rotation and then a vertical reflection are applied to the scalene triangle. which figure represents the result of the transformation?(please help soon)
The figure that represent the rotation and reflection of the scalene triangle is given as follows:
Figure B.
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x)A 90º clockwise rotation means that the scalene triangle is rotated right, and thus the figure would be given by option D.
After the vertical reflection, the orientation of the triangle would be changed, meaning that it would then be given by option B.
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A bag contains colored tiles.
3 tiles are red
6 tiles are green
3 tiles are blue
Two tiles will be randomly selected from the bag with replacement. What is the probability that the first tile selected will be green and the second will be red?
A.12
B,322
C,311
D.18
Answer:
D?
Step-by-step explanation:
I don't really know for sure but I think it's D..Im super sorry if I get this wrong I'm not that good at math.
I need help with this,, will give brianliest and +15 points
Answer:
41x² - 27x + 27
Step-by-step explanation:
Perimeter of Rectangle:
= 2(20x²-12x+4) + 2(5x²-5x+15)
= 40x²-24x+8 + 10x²-10x+30
= 50x²-34x+38
Perimeter of Triangle:
= 6x²+6x+3x+3+3x²-2x+8
= 9x²+7x+11
Difference:
(50x²-9x²)+(-34x+7x)+(38-11)
= 41x² - 27x + 27
Please help asap thank you
Work out 7 - 10 = 2 + (-4 + 2).
Answer:
0
Step-by-step explanation:
7-10=2+(-4+2)
-3=2+(-2)
-3=0
3x+2y=28,5x-3y=15 URGENTLY
Answer:
(6, 5 )
Step-by-step explanation:
3x + 2y = 28 → (1)
5x - 3y = 15 → (2)
multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y
9x + 6y = 84 → (3)
10x - 6y = 30 → (4)
add (3) and (4) term by term to eliminate y
19x + 0 = 114
19x = 114 ( divide both sides by 19 )
x = 6
substitute x = 6 into either of the 2 equations and solve for y
substituting into (1)
3(6) + 2y = 28
18 + 2y = 28 ( subtract 18 from both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (6, 5 )
Gio weighed 5 boxes before he shipped them, the weights were: 52, 48, 48, 54, and 50 What statement is true
One bottle holds 67.34 onces and another bottle holds 48.5 onces combined how much do they hold?
After combine they hold 115.84 ounces.
What is Addition?A process of combining or adding two or more numbers is called addition.
We have to given that;
One bottle holds 67.34 ounces and another bottle holds 48.5 ounces.
So, After combine, we get;
Both bottle hold = 67.34 ounces + 48.5 ounces
= 115.84 ounces
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Two angles are supplementary if they add up to ?
Answer:
180 degrees
Step-by-step explanation:
Answer:
Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Hence, any two angles can be supplementary, if their sum equal to 180°.
...
Difference between Complementary and Supplementary Angles.
Complementary Angles: Supplementary Angles:
Sum of two angles is 90° Sum of two angles is 180°
what is -18 + (-45) + 12
Answer:
-51
Step-by-step explanation:
hope it helps you! good luck!
whats the answer? someone please tell me i need help
Answer:
x° = 48°
Step-by-step explanation:
In order to solve this, we need to know that the sum of all inner angles of the triangle is equal to 180°. Based on this diagram we know that...
180° = 90° + 42° + x°
From here we know that...
x° = 180° - 90° - 42°
x° = 48°
You are conducting a survey on the number of pets per household in your region. From a sample with n = 40, the mean number of pets per household is 2 pets and the standard deviation is 1 pet. Using chebyshev's theorem, determine at least how many of the households have 0 to 4 pets
At least 30 of the households have 0 to 4 pets.
What is Chebyshev's theorem?
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
Here,
we have a sample size of n = 40.
The mean number of pets per household is 2 and the standard deviation is 1.
We need to determine at least how many of the households have 0 to 4 pets.
By using Chebyshev’s inequality rule with k = 2(that is ) then,
= 100(1- (1/k²))%
= 100 (1- (1/2²))%
= 100 (1- (1/4))%
= 75%
The corresponding number of households is the percentage multiplied by the sample size.
= 75% × 40 = 30
Hence, at least 30 of the households have 0 to 4 pets.
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(−2x+10)+(−8x−1)(-2x+10)+(-8x-1) .
Answer:I know why your father never came back
Step-by-step explanation: So when he got the milk he got stuck in traffic for a long time which caused the milk to expire and so he went back to grab new milk and on his way home he was stuck in traffic again and the milk got expired so he repeats the process and the same thing happens over and over and over, so hes stuck in an infinite loop until he passes away.
Help!!!!!!!!!!!!!!!!!!
Answer:
d. a f
Step-by-step explanation:
i hope this helps :)
Answer:
D. A F
Step-by-step explanation:
It is a line all the way across the center of the circle (the definition of a diameter of a circle)
Mr. Louros' room is 275 meters from the library. Mr. Taylor's room is 150 meters closer to the library. How far is Mr. Louros' room from the library ? Select all the equations that describe the situation.
1. 275-150= m
2. 275+150= m
3. 275-m= 150
4. m-150=275
5. m+175=250
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:it hard sorry please
Radicals help please
Consequently, the answer to the above fraction problem comes out to be 1/2 .
What is fraction?An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.
Here,
Given here is: (4√(2) - √(2)) × √(2) / (2) (2) × √(18) (18)
The radical is then simplified in order to determine its value.
=> 3√(2) × √(2) / 2√(2) × 3√(2)
=> 3(2) / 6(2)
=> 3/6
=> 1/2 or 0.5
so,
after simplification, the answer is 1/2.
Consequently, the answer to the above fractional problem comes out to be 1/2 .
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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
0/1
Write the ratio of ponies and goats to rabbits and
sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.
Answer:
3/7
Step-by-step explanation:
3 ponies + 3 goats = 6 total
8 rabbit + 6 sheep = 14 total
6/14 simplified is 3/7.
find the missing part of the proof for m A. m B. m C. m D. m
Therefore, K= 66 degrees, LK length = 22 unit, and LK length = 22 unit are the answers to the specific problem of angles.
Angles are what?A geometrical angled construction is constructed from two rays that converge at the summit, or center, of both the angle and are referred to as the face and the vertex, respectively. Guess it depends on how they're situated, it is possible for two rods to create an angle together within plane. When two planes collide, an inclination is also formed. Diahedral angles are the term used to refer to them. Light beams or lines in euclidean geometry can have a wide variety of shapes or angles for the same termination. The phrase "angle" in English is based on the Latin term "angulus," which meaning "horn." the vertex.
Here,
Given: MKL M = 24 degree right triangle
K is 90 degrees, etc.
Thus,
=> ∠L + ∠M +∠K =180
=> 90 + 24 + ∠K = 180
=>∠K =180-114
K equals 66 degrees.
and
The formula for LK length is 22.
The formula for LK length is 22.
In light of this, the answer to the angle problem is
K=66 degrees, and LK length=2 units. LK length equals two units.
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What is the volume of a rectangular prism with the dimensions, base
12
cm, height em, and length
cm
Find the coefficient of x2 in ( 4+ 4x2)( 3x2–5).
Answer:
- 8
Step-by-step explanation:
Given
(4 +4 x²)(3x² - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis
= 12x² - 20 + 12[tex]x^{4}[/tex] - 20x² ← collect like terms
= 12[tex]x^{4}[/tex] - 8x² - 20
with coefficient of x² term being - 8
(Need asap plz)
You want to know the mean number of sick days taken by students in your county last year. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number sick days taken by students in your county last year.
A: 0, 1, 1, 3, 0, 3, 0, 2, 3, 4
B: 0, 0, 0, 5, 21, 6, 8, 1, 2, 4
C: 11, 8, 1, 1, 0, 0, 4, 4, 4, 6
D: 8, 0, 10, 8, 6, 7, 9, 2, 1, 1
E: 2, 4, 5, 0, 5, 0, 5, 4, 0, 20
__ Days?
Step-by-step explanation:
add up all of the numbers in the five groups then divide the numbers by the number of numbers you have for example if the sum of all of those numbers is let's a 25 and you have 5 numbers you'll divide 25 by 5 and your men will be 5:00 and if the sum of the numbers was 30 and you have six numbers you'll / 30by6 then your answer then the mean will be six
Answer:
I don't know which school you are asking for, so here are all of them, followed by the general mean of all the schools.
a: 1.7
b: 4.7
c: 3.9
d: 5.3
e: 4.5
gen: 4
Step-by-step explanation:
This is easiest to solve with a calculator.
When finding the mean, you need to add all the numbers together, then divide by how many numbers you added.
Let's say that you have the numbers 2, 5, and 8. You add them together to get 15, then divide 15 by 3. The mean is 5.
With your problem, the general mean of all 5 schools is 4.
Hope that this helps!