Answer:
Joe's rate = 7 mph
Ralph's rate = 8 mph
Step-by-step explanation:
Give. That:
Joe's rate = x
Ralph rate = x + 1 kmph
Travel time = 2 hours
Hence, distance traveled = Speed * time
Joe's distance : 2 * x
Ralph's distance = 2 * (x + 1)
2x + 2(x + 1) = 30
2x + 2x + 2 = 30
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Joe's rate = 7
Ralph's rate = 7 + 1 = 8
The areas of two rectangles can be represented by the functions shown. Which function represents the difference in the areas, h(x) = f(x) – g(x)? h(x) = 4x2 – 4x – 11 h(x) = 4x2 – 4x + 11 h(x) = –4x2 + 4x + 11 h(x) = 4x2 – 4x – 9
Answer:
x ^2 + 5xStep-by-step explanation:
Let the area of the two triangles be expressed as;
f(x)= 4x^2+6x
g(x)=3x^2-x
Taking the difference
h(x) = f(x) - g(x)
h(x) = 4x ^2+6x - 3x^2-x
Collect like terms'
h(x) = 4x ^2 - 3x^2+6x-x
h(x) = x ^2 + 5x
Hence the difference is x^2 + 5x
Note that the functions were assumed. The same methos can be applied to any other given functions.
Answer:
B: h(x) = 4x2 – 4x + 11
Step-by-step explanation:
I just did the assignmement on EDGEN and it's 200% correct!!
Also, heart and rate if you found this answer helpful. (P.S it makes me feel good to know that I helped someone today!!)
On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, 4 5 of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls
Answer:
$108
Step-by-step explanation:
Let number of rolls produced = [tex]x[/tex]
Total production cost = $300
Average production cost can be found by dividing the total production cost with the number of rolls produced.
Average production cost per roll = $[tex]\frac{300}{x}[/tex]
[tex]\frac{4}{5}[/tex] of the rolls were sold at a price 50% higher than the average production cost per roll.
i.e.
Money earned by selling [tex]\frac{4}{5}[/tex] of the rolls:
[tex]\dfrac{4}{5}x \times \dfrac{300}{x}\times \dfrac{150}{100}\\\Rightarrow \$360[/tex]
Money earned by selling the remaining the remaining rolls:
[tex]\dfrac{1}{5}x\times \dfrac{300}{x}\times \dfrac{80}{100}\\\Rightarrow \$48[/tex]
Total money earned by selling all the rolls = $360 + $48 = $408
Total profit can be calculated by subtracting the total production cost from the total money earned.
Total profit = $408 - $300 = $108
2)
1.) 3x+3y 6
2x+2y=4
Answer:
y este egal cu 1
x este egal cu un
Step-by-step explanation:
2 plus 2 egal cu patru( adica 2 ori unu plus 2 ori 1)
La fel si la cea cu 3.
Sper că te am ajutat!!!
Therefore,
X=0
Y=2
,,,The solution is above in the picture
A virtual reality headset lists for $719. Find the net cost after trade discounts if the series discount is 10/30.
Answer:
479.33
Step-by-step explanation:
10/30 is the same as 1/3 or 33.34%.
Multiply the fraction to the original price then subtract.
719 * 1/3 = 239.67
719 - 239.67 = 479.33
Best of Luck!
evaluate 2/3 (10-6) 1/2
Answer:
[tex] = \frac{2}{3} (10 - 6) \frac{1}{2} [/tex]
[tex] = \frac{2}{3} (4) \frac{1}{2} [/tex]
[tex] = \frac{8}{3} \times \frac{1}{2} [/tex]
[tex] = \frac{4}{3} [/tex]
Do sb know da answerrrrr ?
Answer:
If I’m not wrong I think it’s the first one
Step-by-step explanation:
need answer quick plz!!
Answer:
Its B
Step-by-step explanation:
1^3 is 1
Answer:
The mistake is in part 2.
Step-by-step explanation:
2(1)^3 is 2(1) because 1*1*1 still =1. She was multiplying 1 by 3.
0 = 4(3.14)/5 ;r = 9 cm
Answer:
i don't think i know the answer to your question
Step-by-step explanation:
3. 'a' and 'b' are the intercepts made
by a straight-line with the co-
ordinate axes. If 3a = b and the line
pass through the point (1, 3), find
the equation of the line.
Given:
'a' and 'b' are the intercepts made by a straight-line with the co- ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
[tex]\dfrac{x}{a}+\dfrac{y}{b}=1[/tex] ...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
[tex]\dfrac{x}{a}+\dfrac{y}{3a}=1[/tex] ...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get
[tex]\dfrac{1}{a}+\dfrac{3}{3a}=1[/tex]
[tex]\dfrac{1}{a}+\dfrac{1}{a}=1[/tex]
[tex]\dfrac{2}{a}=1[/tex]
Multiply both sides by a.
[tex]2=a[/tex]
The value of a is 2. So, x-intercept is 2.
Putting a=2 in [tex]b=3a[/tex], we get
[tex]b=3(2)[/tex]
[tex]b=6[/tex]
The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get
[tex]\dfrac{x}{2}+\dfrac{y}{6}=1[/tex]
Therefore, the equation of the required line in intercept form is [tex]\dfrac{x}{2}+\dfrac{y}{6}=1[/tex].
1. Choose the correct common fraction.
0.13
0.3
none of these
1/3
Solve the following equations
3x-6y=14
y=x+4
Answer:
y=2
Step-by-step explanation:
\©°©°©°¥=¥=€=€°`°€°€°%=
Plss can someone help me out with thissss!!!!!!!!!!!
When a figure is rotated, does every point move the same distance? Explain. *
No. The angle of rotation is different for each point, and each point and its image are, therefore, different distances from the center of rotation, so the distance each point moves varies.
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Yes. When rotating a figure, the rotation indicates that each point moves the same distance, such that the angle of rotation may vary from point to point.
Answer:
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
Step-by-step explanation:
Answer Yes. Since the angle of rotation is the same, the distance that each point moves is the same i think
Step-by-step explanation:
2(x + 7) + 3 x = 12
what is the first step In solving this equation for x?
Answer:
The first step would be to distribute that 2 into the numbers in the parenthesis.
Step-by-step explanation:
Answer:
Step-by-step explanation:
I feel like there are many ways to begin this problem, but I'd distribute the 2(x+7) so that you are left with 2x+14. This way you can add 2x and 3x and subtract 14 to the other side.
which one is greater 1.72 or 1.720
Answer:
there equal.
Step-by-step explanation:
Answer:
They are equal.
Step-by-step explanation:
If there is a 0, it doesn't necessarily mean they are different numbers.
In triangle ABC, m_A = 55°, m B = 30°, and a = 8. Which equation should you
solve to find b?
Answer:
B) sin55/8 = sin30/b
Step-by-step explanation:
Just did it on AP3X :)
Write the word sentence as an inequality. Then solve the inequality.
A number x divided by 7 is less than −3.
An inequality is
.
The solution of this inequality is
.
Answer:
x/7<-3
x<-21
Step-by-step explanation:
x/7<-3
multiply the seven to get rid of x denominator
x<-21
Answer:
x/7<-3x<-21
Step-by-step explanation:
HOPE IT HELPS :)
6(2a + b) + b A. 12a + 12b B. 12a + 7b C. 8a + 8b D. 8a – 8b
Answer:
Step-by-step explanation:
6(2a + b ) +b
12a + 6b +b
12a + 7b
so answer B looks good
Answer: B) 12a+7b
Step-by-step explanation:
6(2a+b) +b
12a+6b+b
Combine like terms
12a+7b
Therefor B is correct
what number completes the sequence below? enter your answer below
9→ 14
12→17
15→20
18→?
Answer:
18 + 5 = 23
Step-by-step explanation:
1,615 / 10 the the power of 2
Explain why the solution of 5x – 3 > 14.5 or 5 x minus 3 greater than 14.5 or StartFraction 2 x plus 5 over 3 EndFraction less than 4. < 4 has a solution of all real numbers, with one exception.
Answer:
There is no point where x = 3.5
Step-by-step explanation:
Given the inequality
5x – 3 > 14.5
We are to find the range of all values of x
Add 3 to both sides of the equation;
5x - 3 + 3 > 14.5+ 3
5x > 17.5
x > 17.5/5
x > 3.5
Also for the inequality;
[tex]\frac{2x+5}{3} <4\\[/tex]
Cross multiply;
[tex]2x+5 < 3(4)\\2x + 5 < 12\\[/tex]
Subtract from both sides;
[tex]2x + 5-5 < 12-5\\2x < 7\\x<7/2\\x<3.5[/tex]
The solution to both inequalities are x > 3.5 and x < 3.5. Since there is no point where x = 3.5, hence the solution will have solution on all real numbers except at x = 3.5
Answer:
When solving the first inequality, you get x > 3.5. When solving the second inequality, you get x < 3.5. The solution of an "or” compound in equality is everything in both solution sets, so the solution set is all of the numbers less than 3.5 and greater than 3.5. Since neither of the inequalities includes 3.5, the compound inequality has a solution of all real numbers except 3.5.
Step-by-step explanation:
Please Help me!! It's for testing!
Jude is going from his house to the library. He walks as a rate of 100 yards per minute and bikes as a rate of 300 yards per minute. On his way to the library, Jude walks for 12 minutes and then rides his bike the rest of the way. The library is 6000 yards from his house.
How many minutes did it take Jude to go from his house to the library?
22 Minutes
28 Minutes
30 Minutes
48 Minutes
Answer:
28 minutes
Step-by-step explanation:
100 yards times the 12 minutes he walked = 1200 yards. 6000-1200=4800
4800÷300=16
16 + 12 = 28
Answer:
28 Minutes
Step-by-step explanation:
The library is 6000 yd from the house.
He walks at a rate of 100 yd per minute for 12 minutes, which is 1200 yd of progress.
He bikes the rest of the 4800 yd on his bike at a rate of 300 yd per minute.
4800/300=16 minutes.
16+12=28 minutes.
H(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}h(n)=−91⋅(− 7 1 ) n−1 h, left parenthesis, n, right parenthesis, equals, minus, 91, dot, left parenthesis, minus, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
Given:
[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]
To find:
The recursive formula.
Solution:
We have,
[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]
It is in the form of explicate formula of a GP, .i.e., [tex]a_n=ar^{n-1}[/tex].
Here, [tex]a=-91[/tex] and [tex]r=-\dfrac{1}{7}[/tex].
The recursive formula of a GP is
[tex]a_n=a_{n-1}\times r[/tex]
Using this the recursive formula for given problem is
[tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex]
Therefore, the required recursive formula is [tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex].
HELP ASAP An office employee ears $600 weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually
1200~bi-weekly
1200~semimonthly
2400~monthly
31,200~annually
What is the equation of the line that has a slope of Y and contains the point (0, 3)?
Answer:
B
Step-by-step explanation:
if you take your anwser and multilpy it by the factor you get B
Answer:
equation of line in y
Step-by-step explanation:
slope Y and given point (0,3)
y=3
or y-3=0
The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed
when a plane intersects the central axis at 50°?
circle
ellipse
parabola
hyperbola
please help me on this! will give you brainliest, thank you.
Answer:
a=music
b=3
c=mary and dan
Step-by-step explanation:
a) music
b) 3 students
c) Mary and Dan
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains
Answer:
3/5
Step-by-step explanation:
We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.
Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.
Least common multiple of 3 & 5 is 15.
Thus,let's make the length of the branch to be 15-meter long.
Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:
3, 5, 6, 9, 10, 12 meters.
We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;
Distinct lengths are;
3 metres
5 - 3 = 2 metres
10 - 9 = 1 meter
Total she removes = 3 + 2 + 1 = 6 meters.
Total remaining is;
15 - 6 = 9 meters
Expressing this as a fraction of the original branch gives:
9/15
Divide both numerator and denominator by 3 to get; 3/5
What is the value of x?
Answer:
the value of x is one of those answers i can tell you son
Step-by-step explanation:
and it is NOT 3/4 thast FOR SURE
Find the inverse of f(x)=1/2x Write your answer in terms of g(x).
Answer:
The inverse of f is
[tex]g(x) = 2x[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\frac{1}{2}x[/tex]
A function g is the inverse of function f if for y = f(x), x = g(y)
[tex]y=\frac{1}{2}x[/tex]
Replace x with y
[tex]x=\frac{1}{2}y[/tex]
Solve for y
[tex]y = 2x[/tex]
Therefore, the inverse of f is
[tex]g(x) = 2x[/tex]