I think x is 11 !
hope this helps :)
Answer:
x = 19
Step-by-step explanation:
3x + 33 = 90
- 33 - 33
3x = 57
/ 3 / 3
x = 19
Alfonso runs 10 km at an average speed of x km/h.
The next day he runs 12 km at an average speed of (x - 1) km/h.
The time taken for the 10km run is 30 minutes less than the time taken for the 12 km run.
(a) (i)
Write down an equation in x and show that it simplifies to x? – 5x – 20 = 0.
Step-by-step explanation:
Note that t = d/r where t is time, d is distance, and r is rate/speed.
We can come up with two equations with the information given and the equation:
t_1 hr = (10 km)/(x km/hr)
t_2 hr = (12 km)/(x - 1 km/hr)
where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.
We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:
t_1 = t_2 - 1/2
Substituting the values we derived:
(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2
Then we can evaluate by multiplying by 2x(x-1) on both sides:
20(x-1) = 24x - (x)(x-1)
20x - 20 = 24x - x^2 + x
x^2 -5x -20 = 0
And we are done.
I hope this helps! :)
An equation is formed when two equal expressions. The equation for the time can be written as (12/x-1)-(10/x)=0.5. The value of x is 7.623.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) Given Alfonso runs 10 km at an average speed of x km/h. Therefore, the time taken by Alfonso to rum 10km is 10/x hour.
Also, The next day he runs 12 km at an average speed of (x - 1) km/h. Therefore, the time taken by Alsonso to run 12km is 12/(x-1) hour.
Now, the time taken for the 10km run in 30minutes(0.5 hours) is less than the time taken for the 12 km run. Therefore, we can write,
[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5[/tex]
The equation for the time can be written as (12/x-1)-(10/x)=0.5.
B.) The value of x can be written as,
[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5\\\\12x-10(x-1)=0.5 \times x \times (x-1)\\\\12x - 10x +10 = 0.5x^2-0.5x\\\\2x+10 = 0.5x^2-0.5x\\\\0=0.5x^2 - 2.5x -10\\\\x = -2.623, 7.623[/tex]
Since the time can not be negative. Hence, the value of x is 7.623.
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help me pleaseeeeeeeeeeee
Step-by-step explanation:
57+90+x=180
147+x=180
x=33
<4= 33°
PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP
A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?
A)
2 pounds
B)
30 pounds
c)
50 pounds
D)
60 pounds
Answer:
it is c
Step-by-step explanation:
What is the sum of 650÷1.6
Need help
Please answer anyone show work
Answer:
it is d 100%
Step-by-step explanation:
Answer:
its D i would show work but ion have my phone i did this before
Step-by-step explanation:
Refer to the figure.
If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.
Answer:
x=11
Step-by-step explanation:
And you didnt give the equation for FDE but substitute 11 in for X
A math tutor makes $12 an hour for the first 40 hours worked
what the length of CE?
Answer:
CE = 3.5
Step-by-step explanation:
10 = 5
25 = x
x = 12.5 perimeter of DCE
4+5+x=12.5
x = 3.5
Question 2 of 39
Look at this series: 56, 54, 50, 38, 34, ... What number should come next?
A) 23
B) 18
C) 20
D) 32
E) 26
Answer:
D) 32
Step-by-step explanation:
Given;
series: 56, 54, 50, 38, 34, ....
find the difference between successive numbers;
56 54 50 38 34 x
2 4 12 4 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2.
The next number "x" is calculated as;
34 - 2 = x
34 - 2 = x
32 = x
Therefore, the next number should be 32.
The next number that should come next in the series is 32.
Sequence is an arrangement of two or more things in a successive order. Series is the cumulative sum of a given sequence of terms.
Given the numbers in the series: 56, 54, 50, 38, 34, . . ..
The difference is 2, 4, 12, 4, 2
The highest difference between the numbers is 12, after which it decreases to 4 and finally back 2. Hence:
The next number = 34 - 2 = 32
The next number that should come next in the series is 32.
Find out more on series at: https://brainly.com/question/13171394
Write an equation of the line that pass through the given point and is (a) parallel and (b) perpendicular to the given line.
Answer:
Step-by-step explanation:
Here we need to write the equations that passes through the point (4 , 3) and is parallel to the given line and perpendicular to it. So lets get started,
a)
First we calculate the slope of the given line by using any two points on the given line by the help of the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we take the points (1 , 6) and (2 , 2) i chose these two you can choose any other two doesn't matter so now we calculate the slope,
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-6}{2-1}\\\\m=\frac{-4}{1}\\\\m=-4[/tex]
now since our slope is -4 and the line is parallel to the given line so the line that we need in part a would also have the same slope by the law parallel lines have same slope/gradient.
[tex]m_1=m_2[/tex]
so the slope/gradient of our new line that we need which passes through the point (4,3) is -4
Now using the point slope form formula:
[tex]y-y_1=m(x-x_1)[/tex]
we have our point (4,3) which corresponds to [tex](x_1,y_1)[/tex] and m which corresponds to -4 , so now
[tex]y-y_1=m(x-x_1)\\y-3=-4(x-4)\\y-3=-4x+16\\y=-4x+19[/tex]
sow our new line in part a is
[tex]y=-4x+19[/tex]
b)
In this part we need a line that is perpendicular to the given line which means we use the formula to calculate the slope of the perpendicular line which is:
[tex]m_1m_2=-1[/tex]
where [tex]m_1=-4[/tex] the slope of our given line so the slope of the perpendicular line is,
[tex]m_1m_2=-1\\-4m_2=-1\\\\m_2=\frac{1}{4}[/tex]
so using the point (4,3) and the new slope 1/4 we find the equation of the perpendicular line again by using the point-slope form formula:
[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x-4)\\\\4y-12=x-4 \\4y=x+8\\\\y=\frac{x+8}{4}\\\\y=\frac{x}{4}+2[/tex]
I have attached of the graphs as well you can check it out for better understanding.
WILL GIVE BRAINLIEST but you have to show your work
Answer:
x=-3
Step-by-step explanation:
[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]
x=-6 is extraneous because 7 does not equal to 5
x=-3 is the answer because 5=5
Write the standard form of the equation y - 6 = 3/4 (x - 5).
Answer:
3x-4y=-9
Step-by-step explanation:
Answer:
[tex]y=\frac{3}{4}x+\frac{9}{4}[/tex]
Step-by-step explanation:
[tex]y-6=\frac{3}{4}(x - 5)[/tex] to y = mx + b
[tex]y-6=\frac{3}{4}(x-5)\\\\Distribute;\\\\y-6=\frac{3}{4}x-\frac{15}{4} \\[/tex]
Add 6 to both sides;
[tex]-\frac{15}{4}+6 =-\frac{15}{4}+\frac{6}{1} \\\\\frac{-15+24}{4} =\frac{9}{4}[/tex]
Which of the following statements is needed in order to prove these triangles are congruent using SAS?
BCA EFD
AC DF
BC EF
ABC DEF
Answer:
ABC Def is ure perfect answer
To prove these triangles are congruent using SAS is ∠ ABC ≅ ∠ DEF. Hence, option D is correct.
What is an angle?When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.
Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.
As per the side angle side rule, the correct way to prove that the triangles are congruent is ∠ ABC ≅ ∠ DEF. Therefore, option D is correct.
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Write the following statement as a mathematical expression.
Let x be a number.
The quotient of two and a number, subtracted from seventeen
Answer:
17 - (2 / x)
Step-by-step explanation:
because it is being subtracted from 17. that goes first, and then x is being divided by 2.
Hope this helps!
Answer:
17 - (2 / x)
Step-by-step explanation:
i just did it and got a 100%
4 2/3 4 1/4 5/12 least to greatest
Answer:
5/12, 4 1/4, 4 2/3
Step-by-step explanation:
Change your fractions so they all have a common denominator.
A common denominator is 12, so 5/12 stays as is, 4 1/4 changes to 4 3/12,
and 4 2/3 changes to 4 8/12.
So, 5/12 = 5/12
4 1/4. = 4 3/12
4 2/3 = 4 8/12
This is urgent PLEASE help me
Answer:
at -6
Step-by-step explanation:
hope that help
A beach ball is inflated so its diameter increases from 12 inches to 12.5 inches. Given that the formula for the volume of a sphere is V=4/3π,r^3 the change in the volume of the beach ball using differentials is approximately.
a. 367π cubic inches.
b. 727π cubic inches.
c. 1447π cubic inches.
d. 288.7π cubic inches.
Answer:
V = 36π cubic inches.
Step-by-step explanation:
Given that:
The volume of the sphere is [tex]V = \dfrac{4}{3} \pi r^3[/tex]
If the diameter is represented by P.
Then P = 2r
and r = P/2
∴
[tex]V = \dfrac{4}{3} \pi ( \dfrac{P}{2})^3[/tex]
By differentiating both sides;
[tex]dV = \dfrac{4}{3} \pi \times 3 ( \dfrac{P}{2})^2 \times \dfrac{1}{2} \times dP[/tex]
[tex]dV = \dfrac{1}{2} \pi P^2 \ dP[/tex]
where;
P = 12
dP = 12.5 - 12
dP = 0.5
Then;
[tex]\dfrac{1}{2} \pi ( 12)^2 \times 0.5[/tex]
= 36π
Thus, the volume is V = 36π cubic inches.
PLZ HELP WILL GIVE BRANLIEST IF ANSWER IS CORRECT AND 30 POINTS
Answer: sooo ok i see here that it might be 5 inches if i'm wrong correct me
Step-by-step explanation:
A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with O's representing Incorrect answers
and 1's representing correct answers, to answer the following question:
What is the probability of correctly guessing at random exactly one correct answer? Round to the nearest whole number.
Answer:
It is 4
Step-by-step explanation:
Can someone please help me i really don’t know this
;( !!!
Answer:
the solution is (3,-5)
Step-by-step explanation:
Graph the points then get the solution
Answer:
the answer(2, -5)
Step-by-step explanation:
hope i helped u
6. Solve 9x^2 + 12x - 24 = 0 using the quadratic formula.
A. X= 4, -7
B.x=7, -1
C.x=-2±2√7/3
D.x=9+√613/2
Answer:
in quadratic formula my answer came out to -2±2√7/3
Step-by-step explanation:
Mark was remodeling his house. He took 26 2/3 square feet from 3 different rooms. What was the average change in square footage per room?
-9/80
-80
-26 2/9
-8 8/9
Please help!
Answer: 8 8/9
Step-by-step explanation:
From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.
The average change in square footage per room will be calculated as:
= 26 2/3 ÷ 3
= 80/3 × 1/3
= 80/9
= 8 8/9
Therefore, the answer is D.
A student bought 15 stamps, some were 50 yen stamps and some were 80 yen stamps. She paid 960 yen.
Answer:
I think it's a..... I think it's a carrot
please find the circumceneter of the triangle
Answer:
Draw the perpendicular bisector of each line of each line.
Step-by-step explanation:
Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse. Locate those coordinates and you have the circumcenter.
Question is in pic
Answer it
Thank you :D
Answer:
y = 6x + 4Rs. 94Step-by-step explanation:
Equation for this case is:
⇒ y = 6(x - 1) + 10 as Rs. 10 for the first km and Rs. 6 for the rest (x - 1) km
⇒ y = 6x - 6 + 10 simplifying
⇒ y = 6x + 4 final equation
For x = 15 km we have total of:
y = 6*15 + 4 = 94You can name a plane with 3 Collinear points
True or False??
The commission rate paid to a manufacturer's rep varies according to the type of equipment sold. If his monthly statement showed $124,600 in sales, and his total commission was $4438,what was his average rate of commission to the nearest tenth of a percent?
rate = (4438/124,600) * 100
= 3.6 percent
Kevin painted 24 sculptures in 5 days. Which of the following is not a unit rate for the situation?
Answer:
????????
well the unitrate is 4.20 sculpture in a day
So maybe just find the ones that is not equal to this :)
what is 0.5 of 7 or 0.5 x 7
Answer:
3.5
Step-by-step explanation:
Answer:
I think itis 3.5 please mark brainlest if I am right
Step-by-step explanation:
A group of travelers took 60 pictures in 5 hours at what unit rate were the pictures being taken
Answer:
60 pictures/5 hours= 12 pics an hour
Step-by-step explanation: