Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
7x + 4
= 7(2) + 4
= 14 + 4
= 18
3x + 5 + 4x - 1
3(2) + 5 + 4(2) - 1
6 + 5 + 8 - 1
= 18
The expressions are only equivalent for x = 4 and x = 6.
• This is not true because the expression is also equivalent for x = 2
The expressions are only equivalent when evaluated with even values.
When x = 1
7x + 4
7(1) + 4
= 7 + 4
= 11
3x + 5 + 4x - 1
3(1) + 5 + 4(1) - 1
3 + 5 + 4 - 1
= 11
The expressions have equivalent values for any value of x.
Yes, it has an equivalent value at any value of x
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7x + 4
7(0) + 4
= 0 + 4
= 4
3x + 5 + 4x - 1
3(0) + 5 + 4(0) - 1
0 + 5 + 0 -1
= 4
The expressions have equivalent values if x = 8.
7x + 4
7(8) + 4
56 + 4
= 60
3x + 5 + 4x - 1
3(8) + 5 + 4(8) - 1
24 + 5 + 32 - 1
= 60
Answer:
1,4,7
Step-by-step explanation:
A fraction is which type of number?
Rational or Irrational
Answer:
Rational
Step-by-step explanation:
All rational numbers can be written as fractions.
2)
An Airplane is ascending at a speed of 400 km/hr along a line making an angle of 60' with the
ground. How fast is the altitude of the plane changing?
Answer:
The altitude is changing at a speed of 200 √3 km/hr
Step-by-step explanation:
Here, we want to know how far the altitude of the plane is changing
we are told that the airplane makes an angle of 60 degrees with the ground
So therefore , the rate of change of its altitude will be ;
sin 60 = x/ 400
x = 400 sin 60
x = 400 * √3/2
x = 200 √3 km/hr
The altitude is increasing at a rate of 346.61 km/hr.
The diagram below denotes the given scenario.
Then from the diagram we have,
[tex]sin60^{\circ}=\frac{y}{z}\\\frac{\sqrt{3}}{2} =\frac{y}{z}\\ y=\sqrt{3}\\z=2[/tex]
Then,
[tex]sin\theta =\frac{y}{z}\\cos\theta \frac{d\theta}{dt}\\=\frac{z\frac{dy}{dt}-y\frac{dz}{dt}}{z^2} \\\frac{dy}{dt}=\frac{z^2cos\theta\frac{d\theta}{dt+y\frac{dz}{dt}}}{z}\\\frac{dy}{dt} =\frac{2^2(cos60^{\circ})+\sqrt{3}(400)}{2}\\ \frac{dy}{dt}=346.41 km/hr[/tex]
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Can anyone help me with this?
[tex]the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}[/tex]
On Monday, Greg walks the entire length of a trail that is 4 3/4 miles long. On Tuesday, he walks the entire length of a trail that is 3.8 miles long. On Wednesday, he starts out on a trail that is 2 3/5 miles long, but he does not walk the final 1.7 miles. How many miles does Greg walk in all on Monday, Tuesday, and Wednesday?
Answer: it's B
Step-by-step explanation:
Answer:
D) 9 9/20
Step-by-step explanation:
Step 1:
4 3/4 + 3.8 + (2 3/5 - 1.7)
Step 2: Order of Operation (AKA PEMDAS)
4 3/4 + 3.8 + (2 3/5 - 1.7)
Step 3:
4 3/4 + 3.8 + (9/10)
Step 4: Add it all up
4 3/4 + 3.8 + (9/10) = 9 9/20
anybody solve this i made it its easy
3(55x2) + 9 + 44 +88 x 9 = your number + 163593
Answer:
165*6+53+792= 990+845 = 1,835
Step-by-step explanation:
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed.
Answer:
Put a picture Then I can help hun
Step-by-step explanation:
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
If the principal is $6,321 and the rate of interest is 4.5%, what is the amount of interest after five year?
Answer:
$6889.89
Step-by-step explanation:
6321/100=63.21
63.21x4.5=284.445
284.445x5=568.89
568.89+6321=$6889.89
-3.09 + x = -0.7
please solve for x :)
Answer:
x =2.39
Step-by-step explanation:
;D
One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more. They will be split into two groups that do not necessarily need to be the same size. One group will exercise and then eat, and the other group will do the same exercises after eating instead. After a month, each person's heart health improvement will be assessed by the same doctor, and the groups will be compared. The participants' names will be on a numbered list based on the order in which they agreed to join the experiment.
Select all the methods that can be used to randomly assign people in the experimental study into two groups. (select multiple answers)
Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after
lunch
Participants are divided based on their birth month. Those born in January through June will exercise before lunch, and those born in July through December will exercise after lunch.
Participants choose which group to join based on convenience for their work or school schedule.
The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
The odd-numbered people will be in the group that exercises before lunch, and the even-numbered
people will be in the group that exercises after lunch.
Answer:
B.) Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch.
D.) The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
Step-by-step explanation:
These are all the random ones I picked.
The two methods that can be adopted are Option 1 and 3
What do you understand by Random sampling ?Random Sampling is the sampling method where samples are chosen randomly.
each unit has an equal chance of being selected in a sample.
It is given that
One hundred people are recruited for an experimental study to determine whether
exercising 30 minutes before lunch or 30 minutes after lunch will help improve heart health more.
They will be split into two groups that do not necessarily need to be the same size
the methods that can be used to randomly assign people in the experimental study into two groups.
1. Flip a coin for each person on the list. If the coin comes up heads, they will be put in the group that exercises before lunch. If the coin comes up tails, they will be put in the group that exercises after lunch
2.The names are put into a bowl and mixed around. The first 50 names drawn will be put in the group that exercises before lunch, and the others will exercise after lunch.
Therefore Option 1 and 3 are the two methods that can be adopted.
To know more about Random Sampling
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Jenn made 18 correct and 12 incorrect decisions for a total of 30 points. Mara made 16 correct and 8 incorrect decisions for a total of 32 points
Answer:
Jenn: 12/30 incorrect 18/30 correct
Mara. 8/24 incorrect 16/24 correct
Step-by-step explanation:
Could you ask the question???? This isn’t a questions it more like a statement so I tried to do my best and I just made them into fractions
Please help me out!!!!!
Answer:
Start by identifying which solutions have a degree of 2 Degree of two is the sum of all the exponential powers.You have a coefficient leading of 1 so x^2 would be the correct first term.Hope this helps.which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]
Answer:
sry I can't understand how to do this question
*BRAINIEST & 20 POINTS*
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 = x
y = 29
Step-by-step explanation:
4x + 17 = y + 20 because vertical angles theorem.
y + 20 = 5x + 9 because interior angles theorem.
4x + 17 = 5x + 9 because same side interior angles theorem.
Subtract 9 from both sides and subtract 4x from both sides.
8 = x
Plug 8 in for x and solve.
5 times 8 is 40, plus 9 equals 49. Subtract 20 from both sides and you get 29.
5(8) + 9 = y + 20
49 = y + 20
29 = y
I hope this helps!
#teamtrees #WAP (Water And Plant)
Answer:
[tex]for \: answer \: see \: the \: pic \: along \\ \: with \: it. \\ \\ \\ hope \: it \: helps \: \\plz\: mark \: as \: brainliest \: answer..[/tex]
Given f(x) = 17( 3 + x), what is the value of f(-2)?
Answer: 17
Step-by-step explanation:
F( -2) = 17 ( 3 -2)
= 17 (1)
=17
Which one is it need helpllll
Answer:
it is D) 25
Step-by-step explanation:
The area of rectangular kitchen tile is 6x^2-8x-30. The width is 2x-6.
A) what is the length of the kitchen tile?
B) Find the perimeter
Answer:
L=6x^2-4x+5
P=12x^2-4x-2
Step-by-step explanation:
A=WL
So, we know the area is 6x^2-8x-30 and the width is 2x-6
Substitute
(6x^2-8x-30)=(2x-6)(L)
L=(6x^2-8x-30)/(2x-6
Divide
L=6x^2-4x+5
P=2L+2W
Substitute
P=2(6x^2-4x+5)+2(2x-6)
P=12×^2-8x+10+4x-12
Simplify
P=12x^2-4x-2
can someone please help me solve
x to the third power=1,000
Answer:
x=10
Step-by-step explanation:
Answer:
it is 10 :)
Step-by-step explanation:
–18 • –17 please hrlp
Answer:
The answer is 306
Step-by-step explanation:
(−18)(−17)
=306
x+3y=0
9y=-3x
how many solutions does this sytem have
Answer:
0 solutions
Step-by-step explanation:
when the 2 equations aresolved they get cancelled off each other.
Answer:
Infinite solutions
Step-by-step explanation:
got it right
Peyton has p pennies and n nickels. She has at most 18 coins altogether. Write this situation as an inequality.
Answer:
p + n ≠ 18
Step-by-step explanation:
How far can a car travel on 1 gallon of gasoline?
Answer:
25 miles
Step-by-step explanation:
50/2=25
Answer:
25 miles
Step-by-step explanation:
it would be half of 50 so it would be 25 because it goes up by 25 each time
A group of students collect a number of shells on the beach. They sort the shells into three piles based on the size of each shell. Pile 1 has half as many shells as the total amount they collected. Pile 2 has 10 fewer shells than the first pile. Pile 3 has the remaining shells. Write an expression that represents the number of shells in Pile 2.
Answer:
Three piles
Let No. of shells =S
pile1=0.5 S
pile2=0.5S-10
pile 3=10
The required expression is [tex]y=x-10[/tex]
Computation:
Let us that,
The number of shells in pile 1 be[tex]'x'[/tex]
The number of shells in pile 2 be [tex]'y'[/tex]
The number of shells in pile 3 be [tex]'z'[/tex]
Now,
The number of shells in pile 2 is 10 fewer than the number of shells in pile 1.
So, the expression is, [tex]y = x - 10[/tex]
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Please help. Solve 9= -3(x + 6)
Answer:
x=-9
Step-by-step explanation:
9=-3(x+6)
9=-3x-18
27=-3x
-9=x
Fluffy bunny ate 1/2 of a carrot in the morning by the end of the day he started 2/5 of how much of the Caribbean fluffy eat at night
Answer: I think it’s 0.1 or 1/10 but I’m kinda confused
Step-by-step explanation: someone pls correct me if I’m wrong
1/2 is 0.5
2/5 is 0.4
0.5-0.4=0.1
0.1=1/10
1/10 of carrot, fluffy will eat at night.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator
Given,
Fluffy bunny ate 1/2 of a carrot in the morning
By the end of the day he ate 2/5 of left carrot = 2/5
Whole carrot can be considered as 1.
Carrot left after eating 1/2 of it in the morning
= 1 - 1/2
= 1/2
Carrot left after eating 2/5 part
= 1/2 - 2/5
= (5 - 4)/10
= 1/10
Hence, fluffy ate 1/10 of carrot at night.
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Please Help !!!! I need ASAP
HMMMMMMMMMMMMMMMMMMM
Do you know??
Mia and Troy work on weekends. The table and graph show the amount of money they made over four weeks.
After week 1, Mia’s total earnings were Troy’s.
After week 3, Troy’s total earnings were Mia’s.
Answer: greater than, the same as
Step-by-step explanation:
The solution is : After 7 weeks, Mia's office will have recycled 21 pounds.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.
3 weeks → 9 pounds
7 weeks → x
x=(7*9)/3
x=21
According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.
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Complete question:
Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18
PLS HELP!! 9-3 divided by 1/3+1=________.
Answer:-3
Step-by-step explanation:
Kayla is going to invest in an account paying an interest rate of 2.9% compounded
monthly. How much would Kayla need to invest, to the nearest cent, for the value of
the account to reach $42,000 in 6 years?
Answer:
the answer is 48m^2!
Step-by-step explanation:
Answer:
The answer is 35299.88. Hope this helps
Escribe dos numeros cuyo maximo comun divisor sea 210 y que esten entre 10000 y 11000
Let [tex]p[/tex] and [tex]q[/tex] be two numbers, such that
[tex]10000 < 210p < 11000, \quad 10000 < 210q < 11000[/tex]
If [tex]p[/tex] and [tex]q[/tex] have no common factors, the greatest common factor between [tex]210p[/tex] and [tex]210 q[/tex] is obviously 210.
If we divide the inequalities above by 210, we see that
[tex]\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}[/tex]
And rounding to the nearest integer, we deduce that [tex]p[/tex] and [tex]q[/tex] must be between 48 and 52.
We may pick [tex]p=49[/tex] and [tex]q=50[/tex], because they have no common factors. So, our numbers would be
[tex]210\cdot 49=10290,\quad 210\cdot 50=10500[/tex]