Answer:
Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
Step-by-step explanation:
Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.
Number of scholars = 7
Total number of boxes [tex]=7x[/tex]
Total number of chocolate bars [tex]=(7x)(30)=210x[/tex]
Price of 1 chocolate bar = $2
Price of [tex]210x[/tex] chocolate bars [tex]=210x(2)=\$420x[/tex]
Also,
Total amount to be raised for travel expenses = $1680
So,
[tex]1680=420x\\x=\frac{1680}{420}\\ x=4[/tex]
Therefore,
each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
3 points determine exactly one plane: true or false?
Answer:
True
Step-by-step explanation:
I looked it up
help plezz if u can it counts as a grade
A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation 1.5s+3.5c=21 represents the relationship between sheets of stickers, s, packs of cardstocks, c, and the dollar amount a kindergarten teacher spent on these supplies.
1. Explain how we can tell that this graph represents the give equation.
2. What do the vertical and horizontal intercepts, (0,6) and (14,0), mean in this situation?
Answer:
Step-by-step explanation:
Teacher bought $21 worth of stickers and cardstock for his class.
Cost of stickers = $1.50 per sheet
Cost of 's' sheets = $1.5s
Cost of cardstock = $3.50 per pack
Cost of 'c' packs = $3.5c
Equation representing the relationship between sheet of stickers and packs of cardstocks will be,
1.5s + 3.5c = 21
3.5c = -1.5s + 21
1). [tex]c=-\frac{3}{7}x+6[/tex]
y-intercept of the line → (0, 6)
x-intercept of the line → (14, 0)
Therefore, equation of the line represents the line on the graph.
2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.
Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.
Simplify and write the answer as product of powers of prime numbers:
Answer:
here man let me is 1 im sure the answer is =((1))
Step-by-step explanation:
6^(-3 * 10^(-10 * 27 * 25 / 5^(-8 * 3^(4 * 2^-3))))
5/16=x/64 what is x.
Answer:
5/16=x/64
Step-by-step explanation:
the x is 1280 that is the answer
Answer:
20 even though its not an answer option?
Step-by-step explanation:
It should be since 16x4=64 5x4=20
Solve v +8 <3 or 8v <-40.
[tex]v + 8 < 3[/tex]
Subtract sides -8
[tex]v + 8 - 8 < 3 - 8[/tex]
[tex]v < - 5[/tex]
_________________________________
[tex]8v < - 40[/tex]
Divided sides by 8
[tex] \frac{8}{8}v < \frac{ - 40}{8} \\ [/tex]
[tex]v < - 5[/tex]
_________________________________
Done.... ♥️♥️♥️♥️♥️
The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Given the inequality,
v +8 < 3
Adding -8 on both sides
v + 8 - 8 < 3 - 8
v < -5
Or,
8v <-40
Divide 8 on both side
v < -5
Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".
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Mrs. Chin paid a 20 percent tip on the bill for lunch.
Total
100%
20%
$2.75
Percents
20%
$2.75
20%
$2.75
20%
20%
$2.75
$2.75
If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
0 $5.50
$13.75
O $16.50
O $55.00
Answer:$13.75
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I just took the test
Negative three times a number increased by seven is less than -11.
Answer:
-3x+7<11
Step-by-step explanation:
I hope I helped you
Rearrange to make a the subject:
v=u+at
Answer:
a = [tex]\frac{v - u}{t}[/tex]
Step-by-step explanation:
v = u + at
u + at = v
at = v - u
a = [tex]\frac{v - u}{t}[/tex]
Express the following equation in slope-intercept form:
y+41 =
4
(x+16)
Select the best answer from the choices provided.
OA
4
y=-x+18
11
OB.
4
y=- - X+-26
11
Ос.
11
y=- - *+-19
4
D.
11
y= - X+3
4
Answer:
y=4x+23
Step-by-step explanation:
sorry cant choose answer choice ..i ant tell which is which...bu i think you should by now....
i hope this stilled helped
Helps me solve this problem please 12 and 14
Answer:
12 is C and 14 is A
Step-by-step explanation:
EDGE 2020 The average monthly high temperatures for Phoenix, Arizona from the years 1981-2010 are shown in the table below, with the value 1 representing the month of January, and the value of 12 representing the month of December. Complete the following steps to model the curve using the sine function.
a. Make a scatterplot of the data.
b. What is the minimum temperature in the data set?
c. What is the maximum temperature in the data set?
d. What is the vertical shift, k, for the data set?
e. What is the amplitude, a, for the data set?
f. What is the period and frequency factor for the data set?
g. What is the phase shift for the data set?
h. Write an equation using the sine function that models this data set.
i. When would you expect the temperature in Phoenix to be 82°?
Answer:
a. Please find attached the required scatter plot
b. The minimum temperature in the data set is 67°F
c. The maximum temperature in the data set is 106°F
d. The vertical shift for the data set is 67°F
e. The amplitude 19.5 °F
f. The period is 12 months, the frequency = 1/12 months
h. The sine function equation that models the data set is 19.5·sin(π·t/6 - π/2) + 86.5
i. After the second and before the third month or after the ninth and before the 10th month
Step-by-step explanation:
The equation for the sinusoidal variation of temperature with time can be presented as follows;
y = A·sin(Bt + C) + D
Where;
A = The amplitude = (The Maximum value - The minimum value)/2
The amplitude = (106 - 67)/2 = 19.5°F
B = 2·π/(The period) = 2·π/12 = π/6
t = The time in months
C = The phase shift = -π/2
D = The midline = (The Maximum value + The minimum value)/2 = (106 + 67)/2 = 86.5 °F
The equation that models the data = 19.5·sin(π·t/6 - π/2) + 86.5
When the temperature is 82°, we have;
82 = 19.5·sin(π·t/6 - π/2) + 86.5
82 - 86.5 = 19.5·sin(π·t/6 - π/2)
-4.5°F = 19.5·sin(π·t/6 - π/2)
sin⁻¹(-4.5/12) = π·t/6 - π/2
-0.3844 = π·t/6 - π/2
-0.2329 = π·t/6 - π/2
t = 2.55 or 12 - 2.55 = 9.44
Which is either after the second and before the third month or after the ninth and before the 10th month.
In this exercise we have to use the function knowledge to calculate the temperature that is requested in each alternative, so we have to:
a. The answer is in the scatter plot
b. The minimum is 67°F
c. The maximum is 106°F
d. The vertical shift is 67°F
e. The amplitude 19.5 °F
f. The frequency is 1/12 months and the period is 12.
h. The sine function equation that models the data set is [tex]19.5sin(\pi t/6 - \pi /2) + 86.5[/tex]
i. After the second and before the third month or after the ninth and before the 10th month
The equation for the sinusoidal variation of temperature with time can be presented as follows;
[tex]y = Asin(Bt + C) + D[/tex]
Where;
A = [tex](106 - 67)/2 = 19.5\°F[/tex]B = [tex]2\pi /(T) = 2\pi/12 = \pi/6[/tex]t = 12 C = [tex]\pi/2[/tex]D = [tex](106 + 67)/2 = 86.5 \°F[/tex]The equation that models the data is given by:
[tex]19.5sin(\pi t/6 - \pi/2) + 86.5[/tex]
When the temperature is 82°, we have;
[tex]82 = 19.5sin(\pi t/6 - \pi/2) + 86.5\\82 - 86.5 = 19.5sin(\pi t/6 - \pi/2)\\-4.5\°F = 19.5sin(\pi t/6 - \pi/2)\\sin^{-1}(-4.5/12) = \pi t/6 - \pi /2\\-0.3844 = \pi t/6 - \pi /2 \\-0.2329 = \pi t/6 - \pi /2\\t = 2.55 \ or \ 9.44[/tex]
Which is either after the second and before the third month or after the ninth and before the 10th month.
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1. Given x=5, plug x into y=10x-2.
a. 38
b. 12.
C. 13
d. 48
Answer:
D. 48
Step-by-step explanation:
y=10x-2 is our equation
If x is 5, then multiply 10 by 5. You get 50.
Subtract 2 from that. You get 48.
Answer:
D, 48
Step-by-step explanation:
Given x=5, plug x into y=10x-2
First you should plug the given x into the x in the equation. And put () around it.
y=10(5)-2
Now you multiply 10 by 5 and you get 50.
y=50-2
Now the last step is to subtract 2 from 50 which you will end up getting y=48. So the answer is y=48 which is letter D.
y=48
x ² - 2x + 1 = 0 what is the value of x?
Answer:
x = 1
Step-by-step explanation:
x^2 - 2x + 1 = 0
Factor
(x - 1)^2 = 0
x - 1 = 0
Add one to both sides.
x = 1
I need some help with this equation.
Answer:
I think that the answer is C) or the last one
I think it's the second one
Is this a function (3,1), (3,2), (4,5)?
Answer:
No
Step-by-step explanation:
If the x value does not repeat than it's a funtction so therefore so therefore it t's not a function cause the variable of repeats
What is a function Inverse
Answer:
an inverse function (or anti-function) is a function that "reverses" another function
Step-by-step explanation:
Answer:
an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g = x.
5. Use the two given points and calculate the slope.
(3, 4), (5,9)
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
For this situation we have the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where each variable represents a coordinate (e.g. in this case 4 could be [tex]y_{1}[/tex]). So first, let's define which coordinates will be the values of these variables:
(3,4): [tex]x_{1}, y_{1}[/tex]
(5,9): [tex]x_{2}, y_{2}[/tex]
Now we need to replace each variable with its given value: [tex]m = \frac{9-4}{5-3}[/tex]
And then do the subtraction to simplify: [tex]m=\frac{5}{2}[/tex]
Therefore, the slope of the line that passes through the points (3,4) and (5,9) is [tex]\frac{5}{2}[/tex].
What is the value of x in the equation x+12 over 4 =6
Answer:
x=12
Step-by-step explanation:
first remove the four by multiplying it and then cancel out the 12 as well to get 12 as an answer. double check by replacing x with 12 and see if it equals 6.
The graph shows the reciprocal parent function
The function has no intercepts.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The x-intercept is the point on the x-axis when y= 0.
The y-intercept is the point on the y-axis when x= 0.
We see that,
There is no point on the x-axis or y-axis that the graph is touching.
So,
We can say that,
There are no x-intercepts and y-intercepts.
Thus,
The function has no intercepts.
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suppose the total area is 132 square units, b=5, d=4, and the area I is a square. Find the missing lengths and areas.
Answer:
/////////
Step-by-step explanation:
.The quantities xxx and yyy are proportional.
xxx yyy
444 101010
555 12.512.512, point, 5
101010 252525
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r=r, equals
Answer:
2.5
Step-by-step explanation
:khan academy
Answer:
rx is 2.5. as the cop (constant of proportionality)
Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.
Answer:
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]
However, - × - equals +
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Please help!!!
Write an equation to represent the total weight, p, of a full animal watering pail, if the pail weighs 12 pounds and the water weighs 8.3 pounds per gallon,g.
Answer:
12+8.3(g)=p
Step-by-step explanation:
#of gal of water x 8.3 per gal. number of gallons of water is not given so it is represented by g
+ weight of pail which is given, 12
= p , weight of full pail
a red candle is 8 inches tall and burns at a rate of 7/10 inches per house a blue candle is 6 inches tall and burns at the rate of 1/5 inches per hour after how many hours willl both candles be the same height? ~ASAP HELP PLS THIS IS DUE IN A FEW HOURS!!~
Answer:
it will take 6 hours, or at least im pretty sure it will
Step-by-step explanation:
what is the total edge length of a cube with a side length of 3
Answer:
72 units
Step-by-step explanation:
a cube has the same length as each edge so because there are 6 sides with 4 edges, and each edge has a length of 3 units, 3 units * 4 edges * 6 sides = 12 total edge length per side * 6 sides = 72 total edge length
Mario walked 7422 steps one day then he walks 5570 stops the next day. which calculation can be used to find the total number of steps Mario walked two days
Answer:
A caucluation he can use is adding, just add 7422 and 5570 and you should get your answer.
Step-by-step explanation:
Mario walked total 12992 steps.
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 example, 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:
Mario walked 7422 steps one day
and, he walks 5570 stops the next day.
So, the total number of steps
= 7422 + 5570
= 12992 steps
Hence, Mario walked total 12992 steps.
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. The wavelength of green light is about 0.00000051 meter. What is this estimated
wavelength as a single digit times a power
of 10?
Answer:
5×10^-7
Step-by-step explanation:
The most significant digit (5) of the number 0.00000051 is in the 7th place to the right of the decimal point. The power of 10 associated with that decimal place is -7.
0.00000051 m ≈ 5×10^-7 m
Please solve this question.(Quadratic equation)
Answer: 28
Step-by-step explanation:
Let x represent the digit in the tens place and y represent the digit in the ones place. xy → 10x + y
The square of the sum of the digits is 100.
EQ1: (x + y)² = 100 → x + y = 10
2 is subtracted from 3 times the number is the digits reversed.
EQ2: 3(10x + y) - 2 = 10y + x → 30x + 3y - 2 = 10y + x → 29x - 7y = 2
Solve the system of equations using the Elimination method:
EQ1: x + y = 10 → 7(x + y = 10) → 7x + 7y = 70
EQ2: 29x - 7y = 2 → 1(29x - 7y = 2 → 29x - 7y = 2
36x = 72
÷36 ÷36
x = 2
Substitute x = 2 into either of the equations to solve for y.:
EQ1: x + y = 10
2 + y = 10
y = 8
The digit is: 28
Find the missing value so that the line passing through the points has the given slope
(10,y) and (3,4) m= -2/7
Answer:
y = 2Step-by-step explanation:
Using slope formula and solving for y
m = (y2 - y1)/(x2 - x1)
-2/7 = (4 - y)/(3 - 10)-2/7 = (4 - y)/-72 = 4 - yy = 4 - 2y = 2Answer:
y = 2
Step-by-step explanation:
Using slope formula and solving for y
m = (y2 - y1)/(x2 - x1)
-2/7 = (4 - y)/(3 - 10)
-2/7 = (4 - y)/-7
2 = 4 - y
y = 4 - 2
y = 2
