Answer:
480 miles
Step-by-step explanation:
Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.
There is no way to solve this otherwise though, so we'll assume the car's speed is constant.
280mi / 7h = 40mph
40mph * 12h = 480mi
What kind of sequence is this? 34, 44, 54, 64, ...
The Cardinality of this set {7,8,9) includes
a. n(P) = 3
b. n(P) = 6
c. n(P) = 24
d. n(P) = 2
Answer:
The Cardinality of this set {7,8,9} is n(P) = 8.
Step-by-step explanation:
Because:
n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}
Hence by the formula 2^k.
where, k = number of elements in the set.
The cardinality is 8.
2 - 2x 4x + 12
------- = ---------
4 3
[tex]\tt\frac { 2 - 2 x } { 4 } = \frac { 4 x + 12 } { 3 }[/tex]
[tex]\tt3\left(2-2x\right)=4\left(4x+12\right) [/tex]
[tex]\tt6-6x=16x+48 [/tex]
[tex]\tt6-6x-16x=48 [/tex]
[tex]\tt6-22x=48 [/tex]
[tex]\tt-22x=42 [/tex]
[tex]\tt\:x=\frac{42}{-22} [/tex]
[tex]\boxed{\tt\:x = -\frac{21}{11} = -1\frac{10}{11} \approx -1.90}[/tex]
Method used :-
◇ ✖ Cross multiplication ❌
________
Hope it helps ⚜
Step-by-step explanation:
Given equation is [{(2-2x)/4} = {(4x+12)/3]
On applying cross multiplication then
Since, (a/b) = (c/d)
⇛ab = bc
Where, a = (2-2x), b = (4), c = (4x+12) and d = (3).
Now,
⇛3(2-2x) = 4(4x+12)
Multiply the number outside the bracket with numbers and variables in the bracket.
⇛6 - 6x = 16x + 48
Shift the variable value on LHS and constant on RHS.
⇛-6x - 16x = 48-6
Subtract the values on LHS and RHS.
⇛-22x = 42
Shift the value (-22) from LHS to RHS.
⇛x = 42/-22
Write the obtained answer in lowest form by cancelling method.
⇛x = (42÷2)/(-22÷2)
Therefore, x = 21/-11 = -(21/11)
Answer: Hence the value of x for the given problem is -21/11.
VERIFICATION:
If x = -21/11 then the equation is
[{(2-2x)/4} = {(4x+12)/3]
Substitute the value x = -21/11 in expression, then
⇛[{2-2(-21/11)}/4 = {4(-21/11)+12}/3]
Multiply (-2) from (-21) to get 42 on LHS.
⇛[{2(42/11)}/4 = {4(-21/11)+12}/3]
Again multiply 4 from (-21) to get 81 on RHS.
⇛[{2(42/11)}/4 = {(-81/11) + 12}/3]
Take the LCM of the denominator 1 and 11 is 11 on LHS
⇛[{(2*11 + 42*1)/11}/4 = {(-81*1 + 12*11)/11}/3]
Multiply the numerator on both LHS and RHS.
⇛[{(22+42)/11}/4 = {(-81 + 132)/11}/3]
Add the numerator numbers on both LHS and RHS
⇛[{(64/11)}/4 = [{(48/11)}/3]
Now, conver the division fraction in multiply fraction on both LHS and RHS.
⇛[{(64/11) * 4} = {(48/11) * 3}]
Now, write the numbers in Lower form by cancelling method, on both LHS and RHS.
⇛(16/11) = (16/11)
LHS = RHS
Please let me know if you have any other questions.
PLEASE HELP ME!! I really need the help with this question!!
6 short questions 50 POINTS
Answer:
KN be better
sons of if his
500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75
No 182 195
Total 500
a. In this sample, what proportion of children are boys? (Round your answer to the nearest hundredth)
b. What proportion of boys read books for fun every day? (Round your answer to the nearest hundredth)
c. What proportion of girls read books for fun every day? (Round your answer to the nearest hundredth)
d. Based on the findings, does the likelihood of reading books for fun depend on the gender of a child? Explain.
e. If a child is selected at random, find the probability that the child reads book for fun. (Round your answer to the nearest hundredth)
f. If a child is selected at random, find the probability that the child is a girl AND reads book for fun. (Round your answer to the nearest hundredth)
g. If a child is selected at random, find the probability that the child is a girl OR reads book for fun. (Round your answer to the nearest hundredth)
h. If a child is selected at random, find the probability that the child reads book for fun GIVEN that the child is a girl. (Round your answer to the nearest hundredth)
500 children ages 5-11 were asked the following question:
"Do you read books for fun every day?"
Results are shown in the two-way table below.
Boy Girl Total
Yes 48 75 123
No 182 195 377
Total 230 270 500
What are proportions?A proportion is the number of desired outcomes divided by the number of total outcomes.
a. Proportion of children that are boys.There are 500 children and 230 are boys.
230/500 = 0.46
b. Proportion of boys who read books for fun every day.There are 230 boys and 48 read books for fun every day.
48/230 = 0.21
c. Proportion of girls who read books for fun every day.There are 270 girls and 75 read books for fun every day.
75/270 = 0.28
d. Does the likelihood of reading books for fun depend on the gender of a child?Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.
e. For a child selected at random, what is the probability that the child reads books for fun?There are 500 children and 123 read books for fun.
P = 123/500 = 0.25
f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?There are 500 children and 75 are girls who read books for fun.
P = 75/500 = 0.15
g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).
P = (270 + 123 - 75)/500 = 0.64
h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.There are 270 girls and 75 of them read books for fun.
P = 75/270 = 0.28
a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.Learn more about proportions here: https://brainly.com/question/25259185
2 x 7 x 5 x 2 x ____=48
Answer:that is actually not correct
Step-by-step explanation:
2x 7 x 5 x 2 do nit equal 48 but they do equal 140
Answer:
-12/35
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Evaluate : X + 2 ( x -20) (4)
for x = 10
Answer:
x + 2 ( x - 20 )( 4 ) = -70
Step-by-step explanation:
hope this helps. . .<3
Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?
Answer:
$11
Step-by-step explanation:
This is because If you subtract 19 from 30 your answer will be 19.
What does the Safe Place sign indicate?
Safe Place logo
This is a place where pets can be brought in a crisis
This is a place where adults can go in a crisis
This is a place where kids can go in a crisis
This is a place where members can go in a crisis
Answer:
This a place where kids can go
Step-by-step explanation:
in crisis
Answer:
This is a place kids can play
Step-by-step explanation:
In crisis
What is 7.83 x10^6 in decimal form
Answer:
7830000.00
Step-By-Step Explanation:
78 - 783 - 7830 - 78300 - 783000 - 7830000
Answer: 7830000
Step-by-step explanation:
7.83*10^6=
------------->
7.83*10^6=7.83
since the exponent equals 6, lets move the decimal sign 6 places to the right.
7.83*10^6=7.8.3.0.0.0.0.
Result is 7 8 3 0 0 0 0
7.83*10^6=7830000
Use the Chain Rule to express the second derivative of f∘g in terms of the first and second derivatives of f and g.
The second derivative of the composition between two functions is described by the following expression:
[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]
Mathematically speaking, a composition between two functions is defined by the following operation:
[tex]f\,\circ\,g\,(x) =f(g(x))[/tex] (1)
By Chain Rule we get the first and second derivatives of the composition:
First derivative
[tex]\frac{d}{dx} (f\,\circ\,g\,(x)) = \frac{df}{dg}\cdot \frac{dg}{dx}[/tex] (2)
Second derivative
[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex] (3)
The second derivative of the composition between two functions is described by the following expression:
[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]
We kindly invite to check this question on chain rule: https://brainly.com/question/23729337
17. The price of napkins and the number of napkins is listed in the table below.
Number of
Price of
Napkins (1) Napkins (p), in
cents
200
140
300
210
400
280
500
350
600
420
Letp represent the price of the napkins and the number of napkins. Which equation shows the
relationship between the price of napkins and number of napkins?
A.pn=7C.pn=0,7
B.np = + 70 D.pn = +100
Answer:
The question is very nice.
,Iike it.
What is the perimeter of a rectangle with a length of 11.25 inches and a
width of 8 inches?
Answer:
38.5 in
Step-by-step explanation:
11.25 in + 11.25 in + 8 in + 8 in
= 38.5 in
What number should be subtracted to -2/3 to get -1/6
Pls answer thissss
Answer:
-1/2
Step-by-step explanation:
2/3 becomes 4/6
4/6 to go to 1/6 is -3/6 or -1/2 (simplified)
2 (3m + 1)²
Expand and simplify
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4 - 4y + y - 3
7-5y+2+1
What are the like terms coefficients
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark[/tex]
[tex]\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
9/10 minus blank equals 1/5
Answer:
7/10
9/10 - ____ = 2/10
9 - 7 = 2
So, 9/10 - 7/10 = 2/10 or 1/5
Step-by-step explanation:
Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
1.2×2.8
= (2-0.8)(2+0.8)
= (2)^2 - (0.8)^2
= 4 - 0.64
= 3.36
Answer:3.36
Hope it helps.
Do comment if you have any query
hello can someone help me on this question
Answer:
what question
Step-by-step explanation:
.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?
Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.
Step-by-step explanation:
164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?
Answer:
3
Step-by-step explanation:
we know that 23x7=161
so there will be 3 people on the last trip to the top
3/2 (7/3x+1) = 3/2
Show work. (simple if possible)
Giving Brainliest.
Answer:
[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]
Step-by-step explanation:
Is 34/18 greater or less than or equal to 1 5/6
Answer:
34/18 is greater than 1 5/6.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
greater than
Step-by-step explanation:
1=6/6 and 6+5=11, so 1 5/6= 11/6
Next, you want to find a common denominator, in this case 18
11/6=x/18
x=33
11/6=33/18
34/18 > 33/18
Solve 5(x+3) = -2(x-7)
x=-22/7
x=-1/7
x=-8/3
x=1/7 choose one
Answer:
x=-1/7
Step-by-step explanation:
5x+15=-2x+14
5x+2x=14-15
7x=-1
x=-1/7
Step-by-step explanation:
5(x+3) = -2(x-7)
5x + 15 = -2x + 14
7x = -1
x = -1/7
4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
save $45 per month, in how many months will you have enough money for the project?
Step-by-step explanation:
if I understand this right, then you need paint and additional supplies.
but I don't see any information indicating how many gallons of paint I will need.
so, I can go only with the 1 gallon specified.
so,
1×30 + 60 = $90
we can save $45 per month.
then we need
90 / 45 = 2
months to have enough money.
please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.
If Ricardo walks 6 miles in 101 minutes, then how far will Ricardo walk in 110 minutes?
Write answer as a integer or a reduced fraction.
Step-by-step explanation:
Given:
6 miles ⇒ 101 minutesx miles ⇒ 110 minutesFind the values of x using proportions:
x = 6*110/101x = 660/101x = 6 54/101 milesor
x = 6.53 milesHeyyyyyyyyyyyyyyyyyyyyyyyyyy!
The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
28 years
Step-by-step explanation:
Co-relating their ages:Let's say, the cat is x years old.The dog is twice as old as the cat
That makes the dog 2x years old.The monkey is twice as old as the dog.
That is, 2 × (2x) = 4x years old- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Calculating the total:Their total age is 4 years 2 months.
1 year has 12 months
=> 4 years have (4 × 12)
= 48 months
Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".
= 50 months
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solving for x:Sum of their ages = 50 months
=> x + 2x + 4x = 50
=> 7x = 50
=>x = 50/ 7 months
If we write this in mixed fractions the whole number will represent the number of years.
=
[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]
[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]
The value of 1/ 7 is really small,I.e., 0.1428...
So, we can ignore the fraction while rounding off the term that makes it
[tex] \mathsf{x = 7yrs.(approx.)}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Recall:x is the age of the cat.
The monkey's age is "4x"
= 4 × 7
= 28 years.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:So, the monkey's age is approximately 28 years
Simple Arcs and Sectors question attached. First person to answer correctly gets 50 points. Good Luck!!
Step-by-step explanation:
a=12/56°
b=14/65°
c=238°