Answer:
n = 2
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex](n - 4) - 3 = 3 - (2n + 3)
Multiply through by 2 to clear the fraction
n - 4 - 6 = 6 - 2(2n + 3) ← distribute
n - 10 = 6 - 4n - 6 ( add 4n to both sides )
5n - 10 = 0 ( add 10 to both sides )
5n = 10 ( divide both sides by 5 )
n = 2
The equation d=65t models the distance, d, that Malcolm's family travels after t hours. 10 miles per hour 15 miles per hour 30 miles per hour 65 miles per hour
The question is incomplete. Here is the complete question.
Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel than Theo's family?
a) 10 miles per hour
b) 15 miles per hour
c) 30 miles per hour
d) 65 miles per hour
Answer: b) 15 miles per hour
Step-by-step explanation: Speed is given by the change in distance per change in time or:
[tex]v=\frac{\Delta x}{\Delta t}[/tex]
For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is
[tex]v_{T}=\frac{200-0}{4-0}[/tex]
[tex]v_{T}=\frac{200}{4}[/tex]
[tex]v_{T}=[/tex] 50 mph
For Malcolm's family:
At t = 0: d = 65*0 = 0
At t = 4: d = 65*4
Then, Speed is:
[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]
[tex]v_{M}=\frac{65.4}{4}[/tex]
[tex]v_{M}=[/tex] 65 mph
Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo
4 out of 5 dentists prefer Crest. If they asked 30 dentists what tooth paste they prefer, how many did NOT PREFER Crest.
Answer:
24 would prefer CREST
6 woul NOT prefer Crest
Step-by-step explanation:
4:5=x:30
If a line is perpendicular to y =-1/3x-5, what is the slope of that
A.-1/3
B.1/3
C.3
D.-3
Answer:
c
Step-by-step explanation:
the slope of a line perpendicular will always be the opposite
the slope of a line parrallel will always be the same
Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. Which table represents this proportional relationship?
Answer:4th one
Step-by-step explanation:I did it
Answer:
4
Step-by-step explanation:
what percent is 30 of 20
Answer:
1.5
Step-by-step explanation:
Lmk if i need to explain!
PLEASE ANSWER WILL MARK AND 5 STARS PLEASE I BEG OF U
Which one is the best Rate
Answer:
venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go
The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.
According to what I heard :3
Hope This Helped! May I have Brainliest? <3
(I will give branliest please help me)
Which linear equation represents a line that is parallel to the line drawn and includes point P?
y = 42 - 4
4x + 3y = 15
y=-30 +3.25
-3. + 4y = -5
PLEASE HELP ME ON NUMBER 5
Answer:
Hebrew National since the cost is only 0.73
Step-by-step explanation:
First we need to identify the cost of each hotdog for each brand. I'll go by in order.
Ball Park:
We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.
"Price/Hotdogs per package"
In order
6.95/8=0.86875 or 0.87
8.20/10=0.82
7.35/8=0.91875 or 0.92
17.50/24=0.7291666 or 0.73
Since we're dealing with currency we would most likely round it by the nearest hundredth so the true answer would be $0.87.
Use this formula that I made for this question for any other questions.
5x + 2y = 18 what is the slope- intercept form
Answer:
Slope intercept form is y=-5/2x+9
Step-by-step explanation:
the y-intercept is −9 and the point is (0,−9)
the x-intercept is −3.6 and the point is (−3.6,0)
Explanation:
First, we find the slope and y-intercept
Now, the equation of a line is of the form
y=mx+c
Where,
m is the slope of the line and c is the y-intercept.
Let us write the given line in the standard form:
y=−5x2−82⇒y=−5x2−9
Comparing y=mx+c
to the given equation, y=−5x2−9
m=−52 and c=−9⇒Slope =−52and
y-intercept =−9
Next, we work out the
x-intercept.
the x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.
The equation in slope-intercept form for the line is y = -5x/2+9
What is the slope-intercept form of a line?The slope intercept formula y = mx + c is used when you know the slope of the line to be examined and the point given is also the y intercept (0, c).
Given that, a line has equation 5x + 2y = 18
The general form of the slope-intercept form for the line is y = mx+c, where m is the slope and c is the y-intercept.
Therefore, the required equation will be =
5x+2y = 18
2y = 18-5x
y = -5x/2+9
Hence, the equation in slope-intercept form for the line is y = -5x/2+9
Learn more about slope-intercept form, click;
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Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
Joe Howard earns an annual gross pay of $955,520 as a
professional baseball player. He is married with 4 dependents.
How much is withheld from his monthly paycheck for state
income tax?
Answer: 3924.25
Step-by-step explanation:
0.0150x1000=15
0.0300x2000=60
0.0450x2000=90
0.0500x938520=46926
Add the numbers
47091÷12=3924.25
Additional work:
955520-12000=943520-1000=942520-2000=940520-2000=938520
His monthly paycheck for state income tax is $19,906.65.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Annual Gross pay = 955520
He is married with 4 dependents.
So, every month he earn
= 955520/12
= 79,626.6
and, Also have 4 dependents
= 79,626.6 /4
= 19,906.65
Hence, his monthly paycheck for state income tax is $19,906.65.
Learn more about unitary method here:
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gt6tys56ytujr7dsy6rtuhgjfyhjfvchfgjvcxfdcgfhvn jhmc dghvbdcjghb
Answer:
It is 42=x
Step-by-step explanation:
bruh
What is the area of the shaded figure ???
6×11=66
66 square units
Answer:
52 square units
Step-by-step explanation:
First find the area of the whole box.
6*11=66
Then, find the area of the red box
2*7=14
Subtract the whole box from the red box to find the yellow box
66-14=52
A helicopter has a length of 15.2m is 1000 larger than is model What is the length of the model helicopter?
Help
Answer: 984.8
Step-by-step explanation:
A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x
Using reflection concepts, it is found that the correct option is:
a reflection of the point across the y-axis---------------
The rule for a reflection of a point across the x-axis is: [tex](x,y) \rightarrow (x,-y)[/tex], thus [tex](0,k) \rightarrow (0,-k)[/tex]The rule for a reflection of a point across the y-axis is: [tex](x,y) \rightarrow (-x,y)[/tex], thus [tex](0,k) \rightarrow (-0,k) = (0,k)[/tex]. This is the correct option.The rule for a reflection of a point across the line y = x is: [tex](x,y) \rightarrow (y,x)[/tex], and thus, [tex](0,k) \rightarrow (k,0)[/tex].The rule for a reflection of a point across the line y = -x is: [tex](x,y) \rightarrow (-y,x)[/tex], and thus, [tex](0,k) \rightarrow (-k,0)[/tex].A similar problem is given at https://brainly.com/question/15196246
Answer:
b
Step-by-step explanation:
The Giant Anteater can eat 70,000 ants in 2 days. It’s true
Answer:
cool
Step-by-step explanation:
is this a question?
Mario is filling a fish tank with water at a rate of 1 gallon every 30 seconds. Which graph shows the relationship between the number of gallons in the tank and time in minutes?
Answer:
X-axis
Step-by-step explanation:
Maybe
A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the value for the width.
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is three feet more than twice it's width;
[tex] \longrightarrow [/tex] l = (2w + 3) ft
Perimeter of rectangle = 78 ft
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft
7. What is the area of the shaded region?
5.6 cm
6.4 cm
5.8 cm
1.2 cm
0.8 cm
−5x−4y=−8 whats the formula
Answer:
standard form
Step-by-step explanation:
standard form
Order each set of integers from least to greatest.
(15, 17, 21,6,3)
Answer:
3,6,15,17,21
I hope this is good enough:
PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10
K=?
Answer:
2k⋅(3k−7)⋅(k+4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((6 • (k3)) + (2•5k2)) - 56k
STEP
2
:
Equation at the end of step
2
:
((2•3k3) + (2•5k2)) - 56k
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
6k3 + 10k2 - 56k = 2k • (3k2 + 5k - 28)
Trying to factor by splitting the middle term
4.2 Factoring 3k2 + 5k - 28
The first term is, 3k2 its coefficient is 3 .
The middle term is, +5k its coefficient is 5 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 3 • -28 = -84
Step-2 : Find two factors of -84 whose sum equals the coefficient of the middle term, which is 5 .
-84 + 1 = -83
-42 + 2 = -40
-28 + 3 = -25
-21 + 4 = -17
-14 + 6 = -8
-12 + 7 = -5
-7 + 12 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 12
3k2 - 7k + 12k - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (3k-7)
Add up the last 2 terms, pulling out common factors :
4 • (3k-7)
Step-5 : Add up the four terms of step 4 :
(k+4) • (3k-7)
Which is the desired factorization
Final result :
2k • (3k - 7) • (k + 4)
The selling price of an item is Rs 194. If the loss is 3 %, find the cost price
Answer:
188.88
Step-by-step explanation:
Find the slope between the given two points.
Please help...
Answer:
8/-5
Step-by-step explanation:
the equation for slope is y 2 - y 1/ x 2 - x 1 so your equation is -7 - (-11) / -6 - (-1) which simplifies to 8/ -5 and that is the slope.
What is the awnser to that question
Answer:
C. 2 and 5
Step-by-step explanation:
Mark wants to buy 5 new video games from
GameStop. Each video game is $17.99 and he has an
8% off coupon. How much will he have to pay at the
register?
The ratio of red marbles to blue marbles in a bag is 2 to 3. Which of the following could be the number of red and blue marbles in the bag?
Answer:
4 red marbles and 6 blue marbles
Step-by-step explanation:
Multiply any numbers to 2 and 3 and you get another ratio.
PLEASE HELP, MARKING BRAINLIEST!!!!
What is the value of x? *Please show your work if you can.*
Answer:
I think 100..........
PLEASE HELP EASY 10 POINTS!!
A round garden has a circumference of 15.7 feet. Calculate the area of the garden. Use 3.14 for pi round answer to the nearest hundredth if necessary
Answer: 19.625
Step-by-step explanation: if u need the explanation add me
CAN SOMEONE PLZ HELP
Answer:
(x, y, z) = (2, -1, 3)
Step-by-step explanation:
I solved it using the elimination method