Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
It costs $859.32 to have a school dance. The dance is $8 per ticket.
a. How many tickets must sold to cover the cost?
b. How many tickets must be sold to make a $980.68 profit?
Answer: 108 tickets must be sold to cover the cost.
123 tickets must be sold to make a profit of approximately $980.68
Step-by-step explanation:
Just divide 859.32 from 8 to find out how many tickets must be sold to cover the cost. Same for part b.
Hope this helps!
a. It takes 108 tickets to cover the cost.
b. It takes 230 tickets to make a $980.68 profit.
Hope that helps! I did the questions AND calculated to see if they were correct. (They are correct lol)
The dollar value vt) of a certain
v (t) = 27,500 (0.84)^t
Find the value of the car after 6 years and after 10 years.
Round your answers to the nearest dollar as necessary.
si
Value after 6 years:
Value after 10 years:
if you would've payed attention you wouldn't ask brainly-
Finding a Solution
What is the solution of the system of equations?
Evaluate the following expression. 5−3+2 help fast
Answer:
4
Step-by-step explanation:
5-3=2 2+2=4
there are no parentheses so you just add/subtract from left to right..
The rectangle below has an area of 30k3 + 6k2.
The width of the rectangle is equal to the greatest common
monomial factor of 30k3 and 6k2.
What is the length and width of the rectangle?
9514 1404 393
Answer:
length: (5k +1)width: 6k^2Step-by-step explanation:
The GCF of the two terms is the second term: 6k^2. When that is factored out, you have ...
area = (6k^2)(5k +1)
According to the problem statement, this is interpreted as ...
width: 6k^2
length: 5k+1
1. In triangle ABC, m∠A=36, and m∠C=12. Calculate m∠B.
2. In triangle ABC, m∠A=40, and m∠C=27. Calculate m∠B.
Answer:
1) m ∠B = 132°
2) m ∠B = 113°
Step-by-step explanation:
1. In triangle ABC, m ∠A=36, and m ∠C=12. Calculate m ∠B.
We are given measure of 2 angles and we need to find the third angle.
We know that, sum of angles of triangle = 180°
We can write as:
∠A + ∠B + ∠C = 180°
Now put m ∠A=36 and m ∠C=12, to find m ∠B
[tex]\angle A + \angle B + \angle C = 180\\36+ \angle B +12=180\\\angle B+48=180\\\angle B=180-48\\\angle B=132[/tex]
So, we get m ∠B = 132°
2. In triangle ABC, m ∠A=40, and m ∠C=27. Calculate m ∠B.
We are given measure of 2 angles and we need to find the third angle.
We know that, sum of angles of triangle = 180°
We can write as:
∠A + ∠B + ∠C = 180°
Now put m ∠A=40 and m ∠C=27, to find m ∠B
[tex]\angle A + \angle B + \angle C = 180\\40+ \angle B +27=180\\\angle B+67=180\\\angle B=180-67\\\angle B=113[/tex]
So, we get m ∠B = 113°
In a large population, very close to 25% of the observations will fall below the
25th percentile (Q1), and close to 75% fall below the 75th percentile (Q3). The
Web site of the Educational Testing Service reports that on the SAT
Mathematics test, with a possible perfect score of 800, the 96th percentile of
1,475,623 scores nationwide is a score of 720.
What is the best estimate of exactly how many scores were below 720?
A. 84
ооо
B. 1,417,000
C. 557
D. 80%
оо
E. 192,000
PREVIOUS
Answer:
1,417,000
Step-by-step explanation:
Given that:
Score = 1,475,623
96% of nationwide
96% of score gives the best estimate of the number of scores below 720
0.96 * 1475623
= 1416598.08
The best estimate is 1,417,000
A town's population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
The percentage increase equation is:
Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100
The percentage increase = 11.97%
Step-by-step explanation:
Given
Starting Value = 376
Final Value = 421
To determine
Percentage Increase =?
The percentage increase equation:
Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100
= [(421 - 376) / (376)] × 100
= [45 / 376] × 100
= 11.97%
Therefore, the percentage increase = 11.97%
Answer:
3700 kings
Step-by-step explanation:
Set A = 2,5, 6, 8, 11
Set B= 3, 4, 6, 9, 10, 12
What is the union of sets A and B?
A small dog weighs 6 1/2 pounds. A larger dog weighs 2 2/3 times as much as a small dog. How much does the larger dog weigh?
Answer:
17 1/3 pounds
Step-by-step explanation:
6 1/2=6.5
6.5×2=13
6.5×2/3=4.3333333333
13+4.33=17.33=17 1/3
So the larger dog weighs 17 1/3 pounds
Please give brainliest, thank me and rate it 5 if this helped you.
Answer:The larger dog weighs 17 1/3 pounds .
Step-by-step explanation:6 1/2 × 2 2/3
= 13/2 × 8/3
= 104 /6
= 52/3
= 17 1/3
That is how you solve it and the steps you do to get to the answer.
But now I will explain.So the first step is you change 6 1/2 and 2 2/3 into a improper fraction which 6 1/2 as an improper fraction is 13/2 and 2 2/3 as an improper fraction is 8/3 .The next step is you multiply the improper fractions together which are 13/2 multiply 8/3 which you get 104/6.After that you simplify 104/6 ,and you get 52/3 . You divided both 104 and 6 (104/6) by 2 which gives you 52/3. (104 ÷ 2 /6 ÷ 2 =52/3) Lastly you change 52/3 which is a improper fraction into a mixed number which gives you 17 1/3 as your answer.
I hope this helps :)
Please give brainliest if it helps .Thanks :)
Three students were given the expression shown and were asked to take a common factor out of two of the terms.
4-9x+21
Answer:
Step-by-step explanation:
Expression given → 4 - 9x + 21
Chang's expression → 4 - 3(3x + 7)
Chang's expression is incorrect because the correct expression is [4 - 3(3x - 7)]
Benjamin's expression → 4 + 3(3x + 7)
Benjamin's expression is incorrect because the correct expression is [4 - 3(3x - 7)]
Habib's expression → 4 + 12x
Habib's expression is incorrect because the correct expression is [4 - 3(3x - 7)]
Correct expression → [4 - 3(3x - 7)]
Determine whether the equation is true or false.
Answer:
false
Step-by-step explanation:
What is the value of the expression 4+(-2)
-3+3
Answer:
The answer is 2
Step-by-step explanation:
Addition is considered first before subtraction
So 4+(-2) and -3+3 are considered separately and later their results are added
(2+0=2)
Help I'll make you a Brainlest
Answer:
x = 13
Step-by-step explanation:
m∠ABC + m∠CBD = 180° {linear pair}
3x + 43 + 6x + 20 = 180
3x + 6x + 43 + 20 = 180
9x + 63 = 180
9x = 180 - 63
9x = 117
x = 117/9
x = 13
(7 x 5) - (7 x 3) = 7x( -(
)?
Step-by-step explanation:
ans:7*(-(3-5))..........
Please answer this correctly without making mistakes
Answer:
63 gallons
Step-by-step explanation:
3 gallons = 4x 3 = 12 quarts
12+2 = 14
14 x 18 = 252 quarts
252 / 4 = 63 gallons
What is the answer for 5x+17>37
Answer:
x > 4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
x is 4 more than two - thrice of y
Answer: x = 2/3y + 4
Hope it helped u,
pls mark as the brainliest
^v^
I need to find the standard form of this equation:
4y^2+40y+3x+103=0
Answer:
(y+5)^2=-3/4(x+1)
Step-by-step explanation:
Michael made 19 out of 30 free-throws this basketball season. Larry's free throw average was 0.745 and Charles' was 0.81. John made 47 out of 86 free-throws. Who is the best free-throw shooter
Answer: Charles
Step-by-step explanation:
Michael made 19 out of 30 free-throws. This gives 19/30 = 0.63
Larry's free throw average was 0.745.
Charles' was 0.81.
John made 47 out of 86 free-throws. This gives 47/86 = 0.55
The best free-throw shooter was Charles
Answer:
Charles
Step-by-step explanation:
The best free-throw shooter was Charles
Which shows a pair of shapes that are not similar? All corresponding angles have equal measure.
Answer:
Its either C or D but i think its D
Step-by-step explanation:
Solve for x x-5=-7
X=-2
X=-5
X=-1
X=-3
Answer:
X=-2
Step-by-step explanation:
x-5=-7
x-5+5=-7+5
X=-2
Find the equation of the line shown.
Can someone help me please
Answer:
y= -2x + 9
Step-by-step explanation:
I got 2x because you use rise over run. As you can see in the image, the slope goes up two and to the left one ( 2x). It's plus 9 because that where it intersects the 9 on the y-intercept. The slope is negative because the line is going down from left to right ( always read it from left to right).
I hope this helps. I'm not that great at explaining so....:)
Answer:
2x+y-9=0
Step-by-step explanation:
let's take two co ordinates
(X1,y1)=(4,1)
(X2,y2)=(3,3)
Equation using two point :
(y-y1)/(y2-y1)=(x-x1)/(x2-x1)
plug in the values,(y-1)/(3-1)=(x-4)/(3-4)
(y-1)/2=(x-4)/-1
-1*(y-1)=(x-4)*2
-y+1=2x-8
0=2x+y-9
2x+y-9=0
The acceleration, in meters per second per second, of a race car is modeled by A(t)=t^3−15/2t^2+12t+10, where t is measured in seconds. What is the car’s maximum acceleration on the time interval 0≤t≤6 ?
Answer:
The maximum acceleration over that interval is [tex]A(6) = 28[/tex].
Step-by-step explanation:
The acceleration of this car is modelled as a function of the variable [tex]t[/tex].
Notice that the interval of interest [tex]0 \le t \le 6[/tex] is closed on both ends. In other words, this interval includes both endpoints: [tex]t = 0[/tex] and [tex]t= 6[/tex]. Over this interval, the value of [tex]A(t)[/tex] might be maximized when [tex]t[/tex] is at the following:
One of the two endpoints of this interval, where [tex]t = 0[/tex] or [tex]t = 6[/tex].A local maximum of [tex]A(t)[/tex], where [tex]A^\prime(t) = 0[/tex] (first derivative of [tex]A(t)\![/tex] is zero) and [tex]A^{\prime\prime}(t) <0[/tex] (second derivative of [tex]\! A(t)[/tex] is smaller than zero.)Start by calculating the value of [tex]A(t)[/tex] at the two endpoints:
[tex]A(0) = 10[/tex].[tex]A(6) = 28[/tex].Apply the power rule to find the first and second derivatives of [tex]A(t)[/tex]:
[tex]\begin{aligned} A^{\prime}(t) &= 3\, t^{2} - 15\, t + 12 \\ &= 3\, (t - 1) \, (t + 4)\end{aligned}[/tex].
[tex]\displaystyle A^{\prime\prime}(t) = 6\, t - 15[/tex].
Notice that both [tex]t = 1[/tex] and [tex]t = 4[/tex] are first derivatives of [tex]A^{\prime}(t)[/tex] over the interval [tex]0 \le t \le 6[/tex].
However, among these two zeros, only [tex]t = 1\![/tex] ensures that the second derivative [tex]A^{\prime\prime}(t)[/tex] is smaller than zero (that is: [tex]A^{\prime\prime}(1) < 0[/tex].) If the second derivative [tex]A^{\prime\prime}(t)\![/tex] is non-negative, that zero of [tex]A^{\prime}(t)[/tex] would either be an inflection point (if[tex]A^{\prime\prime}(t) = 0[/tex]) or a local minimum (if [tex]A^{\prime\prime}(t) > 0[/tex].)
Therefore [tex]\! t = 1[/tex] would be the only local maximum over the interval [tex]0 \le t \le 6\![/tex].
Calculate the value of [tex]A(t)[/tex] at this local maximum:
[tex]A(1) = 15.5[/tex].Compare these three possible maximum values of [tex]A(t)[/tex] over the interval [tex]0 \le t \le 6[/tex]. Apparently, [tex]t = 6[/tex] would maximize the value of [tex]A(t)\![/tex]. That is: [tex]A(6) = 28[/tex] gives the maximum value of [tex]\! A(t)[/tex] over the interval [tex]0 \le t \le 6\![/tex].
However, note that the maximum over this interval exists because [tex]t = 6\![/tex] is indeed part of the [tex]0 \le t \le 6[/tex] interval. For example, the same [tex]A(t)[/tex] would have no maximum over the interval [tex]0 \le t < 6[/tex] (which does not include [tex]t = 6[/tex].)
A rubber band ball weighed some amount. Fatima added two rubber bands to the ball, and now the ball weighed 88 grams. Fatima added two more rubber bands, and now the whole ball weighed 94 grams.
Answer:
Step-by-step explanation:
92
Charmaine must choose a number between 49 and 95 that is a multiple of 4, 8, and 12. Write all the numbers that she could choose.
Help ASAP!!! What’s the value of x
Answer:
x=8
Step-by-step explanation:
∠B=∠A
Base Angle Thm/ Def. of Iso.
72=9x
x=8
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) x1 2x2 8x3
Answer:
Infinitely solution exists,
Required solution is, [tex](x_1,x_2,x_3)=(0, 4(1-t),t)[/tex]
Step-by-step explanation:
We have the given equations:
[tex]x_1+2x_2+8x_3=8[/tex]
[tex]x_1+x_2+4x_3=4[/tex]
Here, the augmented matrix is :
[tex]\left[\begin{matrix}1&2&8&8\\1&1&4&4\end{matrix}\right][/tex]
Now, find the echelon form of the augmented matrix.
[tex]=\left[\begin{matrix}1&2&8&8\\0&-1&-4&-4\end{matrix}\right]^{R_1\rightarrow R_2-R_1}[/tex]
[tex]=\left[\begin{matrix}1&0&0&0\\0&-1&-4&-4\end{matrix}\right]^{R_1\rightarrow R_1+2R_2}[/tex]
Therefore, [tex]x_1=0[/tex]
[tex]-x_2-4x_3=-4[/tex]
[tex]\Rightarrow x_2=4(1-x_3)[/tex]
Let [tex]x_3=t[/tex], then the required solution is
[tex](x_1,x_2,x_3)=(0, 4(1-t),t)[/tex]
the maximum slope for a hand propelled wheelchair ramp should be a 1 inch rise to every 12 inches of blank. What is the maximum ramp angle recommended to the nearest degree?
9514 1404 393
Answer:
5°
Step-by-step explanation:
The angle for 12 inches of ramp length and the angle for 12 inches of run are very similar. Both are near 4.8°, so are 5° when rounded.
If we say 12 inches of run, then the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = (1 in)/(12 in)
α = arctan(1/12) ≈ 4.764°
The maximum angle is about 5°.
To a motorist travelling due North at 50km/hr, the wind appears to come from North West at 60mk/hr. Find the true velocity of the wind.
Answer:43.1 km/h
Step-by-step explanation:
Suppose velocity of motorist [tex]\vec{v_1}=50\hat{j}[/tex]
The appeared velocity of wind or resultant velocity is [tex]\vec{v_r}=60[\hat{i}\cdot \frac{1}{\sqrt{2}}+\hat{j}\cdot \frac{1}{\sqrt{2}}][/tex]
Suppose the true velocity of wind is [tex]v_2[/tex]
so, [tex]\vec{v_1}+\vec{v_2}=\vec{v_r}[/tex]
[tex]\vec{v_2}=\frac{60}{\sqrt{2}}\hat{i}+(\frac{60}{\sqrt{2}}-50)\hat{j}\\\vec{v_2}=42.42\hat{i}-7.57\hat{j}\\absolute\ velocity=\sqrt{42.42^2+(-7.57)2}=43.09\approx 43.1\ km/h[/tex]