Answer:
b = 19.2
Step-by-step explanation:
9.6 = ½b
=> 9.6 × (2/1) = b
=> 9.6 × 2 = b
=> 19.2 = b
Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5x−12)−7x=5x Step 1: 20x−48−7x=5x Step 2: 20x−7x−48=5x Step 3: 13x−48=5x Step 4: 13x−13x−48=5x−13x Step 5: 0−48=−8x Step 6: 6=x Which of the following justifications can be used to justify and support Nigel's work? Select all justifications that are correct.
Step 1 is justified by the Distributive Property. , Step 1 is justified by the Distributive Property. , ,
Step 4 is justified by the Symmetric Property. , Step 4 is justified by the Symmetric Property. , ,
Step 5 is justified by the Property of Additive Inverses. , Step 5 is justified by the Property of Additive Inverses. , ,
Step 2 is justified by the Commutative Property. , Step 2 is justified by the Commutative Property. , ,
Step 6 is justified by the Associative Property.
Answer:
Step 1 is justified by the Distributive Property.
Step 4 is justified by the Symmetric Property
Step-by-step explanation:
Given the equation solved by Nigel expressed as
4(5x−12)−7x=5x.
First, we need to expand the bracket using the distributive property
4(5x−12)−7x=5x.
4(5x)-4(12) -7x = 5x
20x - 48 - 7x = 5x
Hence Step 1 is justified by the Distributive Property.
Next is to collect the like terms;
20x - 7x - 48 = 5x
Take the difference
13x - 48 = 5x
Next is to subtract 13x from both sides according to the symmetric property
13x - 48 - 13x = 5x - 13x
Hence Step 4 is justified by the Symmetric Property
The resulting equation will be
0-48 = -8x
Divide both sides by -8
-48/-8 = -8x/-8
6 = x
Hence the correct justifications are Step 1 is justified by the Distributive Property AND Step 4 is justified by the Symmetric Property
Find the area of the following triangle. Round your answer to the nearest tenth.
Answer:
45.0
Step-by-step explanation:
you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0
What is the smallest odd multiple of 3 and 7 between 57 and 250?
Answer:
237 because it can come in both
In the diagram, the measure of angle 3 is 105°
Which angle must also measure 105°
1
4
6
8
Answer:
the answer will be 1 on the basis of the option
Step-by-step explanation:
and other are 7 5
1. $25; 30% increase
Answer:
32.5
Step-by-step explanation:
25, percentage increased by 30% (percent) of its value = 32.5
Pls only answer if you know the correct answer! Thanks! :))
Answer:
(3,5)
Step-by-step explanation:
The y axis is the vertical line
Reflection means it is reflected off of. So if the point was ink, and you folded the paper in half vertically, you would have another dot of ink at the points (3,5)
Which systems of inequality's does this graph represent
Answer:
The second one....
Less than "3" and Greater than "2"
Step-by-step explanation:
Write equation of a line in slope intercept form with the given information p=(1,2) m=4
Answer:
[tex]y=4x-2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
We're given that the slope is 4. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=4x+b[/tex]
Now, to determine the y-intercept, plug in the given point (1,2) and solve for b:
[tex]2=4(1)+b\\2=4+b\\b=-2[/tex]
Therefore, the y-intercept is -2. Plug this back into [tex]y=4x+b[/tex] as b:
[tex]y=4x+(-2)\\y=4x-2[/tex]
I hope this helps!
Ten people are sitting in a row, and each is thinking of a negative integer no smaller than $-15$. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let $x$ be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of $x$
Correct question is;
Ten people are sitting in a row, and each is thinking of a negative integer no smaller than −15. Each person subtracts, from his own number, the number of the person sitting to his right (the rightmost person does nothing). Because he has nothing else to do, the rightmost person observes that all the differences were positive. Let x be the greatest integer owned by one of the 10 people at the beginning. What is the minimum possible value of x?
Answer:
Minimum possible value of x = -6
Step-by-step explanation:
Since there are 10 people and the rightmost person observes that all the differences from the subtraction or positive.
What this implies is that the person on the far left side of the row will have the largest number which from the quewis denoted as x.
Thus, we can say that the person sitting to the far right end on the row will have the smallest integer.
Since we want to minimize x, and for the fact that we are told that each is thinking of a negative integer no smaller than −15, then we will have to make the rightmost person have an integer of -15.
Since there are 9 people remaining on the row, thus, we add 9 to -15 to get the integer of the person for the leftmost person which will be the minimum he will have.
Thus;
-15 + 9 = -6
How in the world do I set this up?
The formula
c = 75 + 30(n - 5) is used to find the cost, c, of a taxi ride where n represents the number of [tex]\frac{1}{5}[/tex] miles of the ride. Find the cost of a taxi ride of 2/frac{2}{5}
Thanks
Answer:
Step-by-step explanation:
The 2 2/5 is not showing up correctly, but I think it means that you are going 2 miles + 2/5 of a mile. If that is not true, leave me a note and I'll correct it.
So 75 and 30(n - 5) represent cents (I think) per 1/5 of a mile.
1 mile has 5 fifths.
2 miles has 10 fifths
2/5 has 2 fifths.
the total is 17 fifths so n = 17
C = 75 + 30(17 - 5)
C = 75 + 30(12)
C = 75 + 360
C = 435
That means you pay 4 dollars and 35 cents.
Suppose a wall divides a playground, and twenty balls lie on the ground on the east side, while forty balls lie on the west side. If a child on the east side of the wall always tosses a ball over the wall at the same time a child on the west side tosses a ball over the wall, then:
Answer:
The amount of balls on each side would stay the same. The amount of balls would stay the same as long as both sides are throwing the same number of balls at the same time.
Step-by-step explanation:
Equation for east side: 20 (balls) -1 (thrown over to west) + 1 (thrown over from west) = 20 balls
Equation for west side: 40 (balls) -1 (thrown over to east side) +1 (thrown over by east side) = 40 balls
Consider a wall clock. In degrees, how far does the minute hand move in 5 minutes?
- 5 degrees
- 30 degrees
- 6 degrees
- 1 degree
Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
Use the graph to answer the questions.
Who is at the trail start at 9:00 a.m.?
✔ Andy
Who runs fastest?
When do Andy and Berta cross paths?
✔ 9:08 a.m.
Who is closest to the 1.5 mile mark after 6 minutes?
Berta
Answer:
Who is at the trail start at 9:00 a.m.?
Andy
Who runs fastest?
When do Andy and Berta cross paths?
9:08 a.m.
Who is closest to the 1.5 mile mark after 6 minutes?
Berta
Step-by-step explanation:
Answer: Andy, Caedin, 9:08 A.M. and Berta!
Step-by-step explanation: On Edge!!!!
Aaron is going to see a movie and is taking his 2 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Aaron have to pay for his family if he were to buy 2 snacks for everybody to share? How much would Aaron have to pay if he bought x snacks for everybody to share?
Step-by-step explanation:
Count the family first
$15x3=$45$3.50x2=$7$45+$7=$52He will have to pay$52
similar bars of soap are sold in packs of 3 for $2 or packs of 8 for 5.20 find the difference in the price for 48 bars of soap
Find of factor of 72
Answer:Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.
Prime Factors of 72: 2, 3.
Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32
Sum of Factors of 72: 195.
Step-by-step explanation:
A car manufacturing company asked 1000 people to view their latest two-door coupe available in four colors (White, Black, Cherry, and Blue).The viewers were asked to list their color preferences in order form favorite. How many ways could the colors be ordered? Of the 1000 viewers, how many would you expect to choose the following preference order: White, Black, Cherry, and Blue?
The first choice can be aby one of the 4 colors.
For each of these . . .
The 2nd choice can be any one of the 3 remaining colors.
For each of these . . .
The 3rd choice can be either one of the 2 remaining colors.
So there are (4 · 3 · 2) = 24 different ways to order the colors.
If everybody you ask thinks the same way, you'd expect all of the possible combinations to be chosen equal numbers of times . . . that is, every choice would be chosen once in every group of 24 people.
In 1,000 people, there are (1000/24) = (41 and 2/3) groups of 24 people.
So you'd expect any one possible preference order to be chosen by 41 or 42 viewers, if all of the viewers think the same way, and their preferences are perfectly random.
please answer this!!
Answer:
16
Step-by-step explanation:
if angle c is 45 then angle A is 45 also
Hence AB is equal to BC
Which expression is equivalent to 17x − 8x + 2 and why?
2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x
Answer:
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
Step-by-step explanation:
17x - 8x + 2 = (17x - 8x) +2 Combine like terms.
= 9x + 2
Like terms have same variable of same powers.
Answer:
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
Step-by-step explanation:
17x - 8x + 2 = (17x - 8x) +2
Combine like terms.
= 9x + 2 Like terms have same variable of same powers.
Still stuck? Get 1-on-1 help from an expert tutor now.e3radg8 and 3 more users found this answer helpful
Have to finish these by the 23rd :(
Answer:
5/6
Step-by-step explanation:
x²- 3x + 7 / x + 4
when [x = 2]
Putting the value of x,
2² - 3(2) + 7 / 2 + 4
= 4 - 6 + 7 / 6
=5 / 6
im bad at math and i need help ;^;
Answer:
[tex] \sqrt{ {x}^{10} } \div x \\ \frac{ \sqrt{ {x}^{9}x } }{x} \\ = \sqrt{ {x}^{9} } \\ = \sqrt{ {x}^{8}x } \\ = {x}^{4} \sqrt{x} \\ thank \: you[/tex]
Answer:
x⁴√x
Step-by-step explanation:
simplify x¹⁰ and x to √x⁹ then simplify the radical equation to x⁴√x
I need the answer to this
Answer:
C
Step-by-step explanation:
it is rewritten in the form of 60/(2^x)
p = 6, q = 7 and r = 4 Work out a2 pr
Answer:
a times 48
Step-by-step explanation:
a times 2 times p(6) times r(4)
2 times 6 is 12
multiply 12 by 4 to get 48
that is how you get a times 48
Find the gradient, picture below
Answer:
[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]
Step-by-step explanation:
[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]
When x = 4,
[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]
Answer:
Hello,
Answer 13/8
Step-by-step explanation:
[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]
what is the square and square root of 9x⁸
Answer:
square: (9x^8)^2= 81x^16
square root: (9x^8)^1/2 = 3x^4
Step-by-step explanation:
the ^ mean that the following num should be like this ⁸
Thomas is making fruit punch for a party. The recipe calls for 5/8 gallon of orange juice to make a full pitcher of punch.
How many full pitchers of punch can Thomas make with 2 gallons of orange juice
Answer:
3 remainder 1
Step-by-step explanation:
We have 2 gallons of orange juice and for each pitcher we need 5/8 of a gallon 1 gallon is = to a whole number so in this case 8/8 but because we have 2 gallons we can put it down at 16/8. 5 goes into 16, 3 times with 1 left over we can mark that as a Reminder
A
75°
B.
Reflex Angle B =
degrees.
Answer:
285
Step-by-step explanation:
B+A=360, B=360-75=285
An angle whose measure is greater than 180° but less than 360° is termed a reflex angle.
[tex]\large{\textrm{{{\color{navy}{∠A \: + \: ∠B \: = \: 360°}}}}}[/tex]
[tex] \bf \large \longrightarrow \: \:75 \degree \: + \: ∠ B \: = \: 360°[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \: 360° \: - \: 75 \degree[/tex]
[tex] \bf \large \longrightarrow \: \: \angle B \: = \:285 \degree[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
A. (3, 5)
Step-by-step explanation:
J is currently at (3, -5). As it's reflected, the x coordinate will stay the same, and the y coordinate will switch signs since we're going from negative to positive. Our answer is (3, 5).
Luiza earned a total of 604 points playing a skee-ball game. Different points are awarded depending on which hole the ball goes through. When the ball goes in the smallest hole, it is worth 100 points. When it goes in the bigger hole, it is worth 10 points, and when it does not go in either hole, it is worth 1 point.
Which combination could be how Luiza earned her 604 points?
4 balls in the bigger hole, and 6 balls in neither hole
4 balls in the smallest hole, and 6 balls in neither hole
4 balls in neither hole, and 6 balls in the smallest hole
4 balls in the bigger hole and 6 balls in the smallest hole
Answer:
4 balls in neither hole, and 6 balls in the smallest hole
Step-by-step explanation:
4 balls in the bigger hole, and 6 balls in neither hole
4(10) + 6(1) = 46
4 balls in the smallest hole, and 6 balls in neither hole
4*100 + 6(1) = 406
4 balls in neither hole, and 6 balls in the smallest hole
4(1) + 6(100) = 604
4 balls in the bigger hole and 6 balls in the smallest hole
4(10)+6(100) = 640
154.1 ÷ 0.5 as a mixed number
Answer:
308.2
Step-by-step explanation:
= 308.2
