Answer:
56 miles
Step-by-step explanation:
Let x is the total distance Sam will travel today
Sam has already biked 12 + x/4 miles
He needs to bike 3x/8 (x.3/8) + 9 miles
12 + x/4 + 3x/8 + 9 = x
21 + x/4 + 3x/8 = x
21 + 2x/8 + 3x/8 = x
21 + 5x/8 = x
21 = x - 5x/8
21 = 3x/8
21.8 = 3x
168 = 3x
x = 168/3
x = 56 (miles)
Answer:
Step-by-step explanation:
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
The quadratic function g(x)=ax^2+bx+c has the complex roots (10+i) and (10-i). You may assume that a=1.
What is the value of b?
What is the value of c?
The values are [tex]b=-20\text{ and }c=101[/tex]
The quadratic function, expressed in factored form is
[tex](x-(10+i))(x-(10-i))=g(x)[/tex]
Expanding and simplifying
[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]
since
[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]
we can equate coefficients of like-terms and conclude that
[tex]a=1,b=-20,c=101[/tex]
Learn more about quadratic equations here: https://brainly.com/question/12995618
Find the cost of carpeting a 9 foot by 12 foot room at $30 per square yard.
Answer:
Step-by-step explanation:
Multiply the total number of square feet by the cost per square foot of the carpet. If padding isn't included, multiply the cost of the padding by the total number of square feet, and then add the result to the total cost per square foot of the carpet.
108 Sq Ft 12 Sq YdsEstimated Price
$3,240.00 Carpet Cost
$0.00 Padding Cost
$3,240.00 Carpet & Padding Cost
hope that help
A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.
Linear functions are used to represented straight lines.
The linear function is [tex]y = -\frac 12x + 1[/tex]
The points on the graph are: (2,0) and (0,1)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{1 - 0}{ 0 -2}[/tex]
[tex]m = \frac{1 }{ -2}[/tex]
Rewrite as:
[tex]m = -\frac{1 }{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac 12(x -0) + 1[/tex]
[tex]y = -\frac 12(x) + 1[/tex]
Open bracket
[tex]y = -\frac 12x + 1[/tex]
Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]
Read more about linear functions at:
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[tex] \sf2 + 63 - 36 - 2[/tex]
Here's some points ~
120% of what number is
54?
Answer:
45
Step-by-step explanation:
5) - 2y = -2x
slope intercept form please someone help i don’t have much time
[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
is h(x) = 6 a linear function and why
Answer:
yes, absolutely. specifically it's a horizontal line at 6.
Please answer this question step by step!
No links please.
Whoever gives correct answer will get a thank you aswell.
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
first distribute
[tex] \frac{36x - 9}{2x} = 15[/tex]
next multiply both sides by 2x
[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]
simplify
[tex] - 9 = - 6x[/tex]
divide both sides by -6
[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]
Solve for the x
[tex]\frac{36}{x}[/tex] = -9
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]
Which of the following shapes is convex?
М.
OA)
OB)
W
OC)
OD
Answer:
I think the correct answer is c hope this helps
how to solve for x (proportions)
Answer:
16/3 or 5 1/3
Step-by-step explanation:
Cross Multiply
4×4
3×x
16=3x
Divide 3 from 16
x=16/3 or 5 1/3
A coffee pot holds 6 quarts of coffee. How much is this in cups?
Answer:
24 cups
Step-by-step explanation:
1 quart = 4 cups
6x4= 24 cups
Answer:
24 cups.
Step-by-step explanation:
Each quart is equal to 4 cups. This means you have to do 6x4 to find the answer.
whats the rate of change
To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.
The surface area of the figure is the amount of area covered by the figure.
The figure is not given, so I will give a general solution.
The method followed by Brad to calculate the surface area of the prism is correct.
However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.
So, the conclusion is that:
If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrectRead more about surface areas at:
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please help me asap, i suck at math tbh :)
ty!
Answer:
Y intercept = (0,-6)
X intercept = (9,0)
Step-by-step explanation:
To find the y-intercept of an equation, let x = 0 and then solve for y
6(0) - 9y = 54 (6 times 0 gives us 0)
0 - 9y = 54 (subtract 9y from 0 gives you -9)
-9y = 54 (divide both sides by -9, the left side cancels out and the right side gives you -6)
y = -6 and x = 0
To find the x-intercept of the equation just let y = 0 and then solve for x
6x - 9(0) = 54 (9 times 0 gives us 0)
6x - 0 = 54 (subtract 0 from 6x gives us 6x)
6x = 54 (divide both sides by 6, left side cancels, right side gives 9)
x = 9 and y = 0
Find Y
LOOK AT THE PICTURE
Answer:
D
Step-by-step explanation:
[tex]y = 3\sqrt{2}[/tex]
Just use pythagorean theorem, very simple.
c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
In your case c is y
your answer calculated will come out to 4.24 but put in terms your teacher wants will be
[tex]y = 3\sqrt{2}[/tex]
Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
95%
i think it should be that
100 points
Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?
Answer:
1/3 * 3 = 1 cup of milk
1/2 * 3 = the amount of water needed per cup of milk
1/2 * 3 = 3/2 or 1.5
The recipe calls for 1.5 cups of water per cup of milk.
Hope this helps!
The quantity of water in the liquid is 5/6 cups
How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cupsIf cups of milk = 1 2/3 cupsWater = Total cups of liquid - cups of milk
= 2 1/2 - 1 2/3
= 5/2 - 5/3
The least common denominator is 3× 2 = 6= (15-10) / 6
= 5/6 cups
Learn more about fraction:
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find the interval in which the function is negative.
f(x) = x^2 - 3x - 4
I. (- infinite, -1)
II. (-1, 4)
III. (4, infinite)
A. III only
B. II only
C. I, II
D. I, III
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
PLSS HELP whats 4.922 rounded to the nearest hundredth PLS
Answer:
4.92
Step-by-step explanation:
Answer: 4.92
Step-by-step explanation:
To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.
Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.
So we have 4.922 with last decimals being 2.
Therefore, we do not add and keep last decimals before the same.
Answer is 4.92
Graph: y = 3 * x + 5
Answer:
2
Step-by-step explanation:
take the 3 put on the side
Use the graph to find the cost of 8 shirts.
Cost of Shirts
y
200
8 8 8 8 8 8 8 8 8
Cost ($)
120
0
7 8 9 10 11
Number of shirts
O A. The cost of 8 shirts is $120.
OB. The cost of 8 shirts is $150.
Ο Ο Ο Ο
C. The cost of 8 shirts is $8.
O D. The cost of 8 shirts is $15.
Q.
[tex] \frac{9}{6} + \frac{6}{9} = [/tex]
#use method
#good luck
Answer:
The answer is 13/6
Step-by-step explanation:
9/6 + 6/9
9/6 = 3/2
6/9 = 2/3
Now,
3/2 + 2/3
Cross Multiply
3 × 3 + 2 × 2/2 × 3
9 + 4/6 = 13/6
Thus, The answer is 13/6
-TheUnknownScientist 72
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] = \frac{9}{6} + \frac{6}{9} \\ = \frac{27 + 12}{18} \\ = \frac{39}{18} \\ = \frac{13}{6} [/tex]
The average 8- to 18-year-old spends____ per day on average in front of a screen doing very little to
no physical activity.
A. O hours
B 30 minutes
0. 1 hour
D 3 hours or more
Please select the best answer from the choices provided.
Answer:
3 hours or more
Step-by-step explanation:
why because of the games and entertainment
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
Find out more on equation at: https://brainly.com/question/2972832
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
Two fractions in the middle of 1/4 and 3/4
Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(0, 2) and Q(6,−2). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ¯¯¯¯¯¯¯¯ . This line is called the perpendicular bisector.
Answer:
The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).
Step-by-step explanation:
To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0
In order to make a perpendicular line, we must find the slope first of the original line.
(y2-y1)/(x2-x1) is the formula for slope
(-2-2)/(6-0)= -4/6=-2/3
Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign
y-0=3/2(x-3) or y=3/2(x-3)
if you'd like, you can distribute and put it in slope intercept form
y=3/2x+9/2