Answer:
Some of the possible combinations are;
1) $19 per adult, $0 per child
2) $10 peer adult, $9 per child
3) $14 peer adult, $5 per child
Step-by-step explanation:
The given information are;
The estimated number of adults to attend the fund raising dinner = 200 adults
The amount the fund raiser is trying to realize = 3800
Therefore, some of the possible combinations are;
1) 3800/200 = 19 per adult to give;
$19 per adult, $0 per child
2) Given that each adult is charged $10, we have;
Total amount from adults = $10 × 200 = $2000
The total amount to be raised from the children = The amount the fund raiser is to realize - (Total amount from adults)
∴ The total amount to be raised from the children = 3800 - 2000 = 1800
The total amount to be raised from the children = $1,800
If there are 200 children we have;
The amount charged per child = (The total amount to be raised from the children)/(The total number of children)
The amount charged per child = $1,800/200 = $9 per child
Therefore, we have;
$10 peer adult, $9 per child
3) If each of the 200 children are charged $5 each, we have;
The total amount to be raised from the children = $5 × 200 = $1,000
∴ The amount to be raised from adults = $3800 - $1000 = $2800
The amount to each adult is to be charged = $2800/200 = $14
Therefore, we have;
$14 peer adult, $5 per child.
The area of a trapezoid is given by A=1/2(B+b) where A is the height B is the big base and b is the small base. We are going to plant a trapezoid shaped flower garden. What would the height of the garden be if the area was 27 ft squared and the big base was 10 and the small base was 8? Include units
Answer:
The height of the garden will be 3 ft.
Step-by-step explanation:
Given;
area of trapezoid, A = 1/2(B+b)h
Where;
A is the area
h is the height
B is the big base
b is the small base
If; A = 27 ft²
B = 10 ft
b = 8 ft
h = ?
[tex]A= \frac{1}{2} (B+b)h\\\\27= \frac{1}{2} (10+8)h\\\\27*2 = 18h\\\\54 = 18h\\\\h = \frac{54}{18}\\\\ h = 3 \ ft[/tex]
Therefore, the height of the garden will be 3 ft.
Some friends of yours collected books for a book drive. They collected 64 Fiction, and 48 Non-Fiction books. They asked you to make bundles of books so that all the books get sent to families who want them and all of the bundles have the same content inside. How many bundles of books can your team send? How many fiction books will you need to put in each bundle? How many non-fiction books will you need to put in each bundle?
As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.
Let n be the total number of bundles that my team can send.
There are 64 Fiction books, so
nx=64 ...(i)
Or x=64/n ...(ii)
also, there are 48 Non-Fiction books, so
ny=48 ...(iii)
Or y=48/n ...(iv)
Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.
The possible common factors of 64 and 48 are,
n=1,2,4,8, and 16.
So, my team can send 1,2,3,4,8 or 16 bundles of books.
Now, from equations (ii) and (iv),
For n=1:
x=64/1=64
y=48/1=48
So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.
For n=2:
x=64/2=32
y=48/2=48
So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.
For n=4:
x=64/4=16
y=48/4=12
So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.
For n=8:
x=64/8=8
y=48/8=6
So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.
For n=16:
x=64/16=4
y=48/16=3
So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.
HELP ASP!!!!!!
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n +3.75; 20
20 is the
th term.
Answer:
the 13th term, if you plug in 13 for n and solve you would get 20 :)
Answer:
13th term
Step-by-step explanation:
Need help on these problems
0>-2+b/7
v/14-2<_-3
13<_n/4+9
138>_-6+9n
-9+x/2>-14
-6>-9+k/4
-11>a/2-2
Solution (1):
[tex]0 > -2 + \dfrac{b}{7}[/tex]
[tex]0 + 2 > \dfrac{b}{7}[/tex]
[tex]2 > \dfrac{b}{7}[/tex]
[tex]2 \times 7 > b[/tex]
[tex]\boxed{\bold{14 > b}}[/tex]
Solution (2):
[tex]\dfrac{v}{14} - 2 < -3[/tex]
[tex]\dfrac{v}{14} < -3 + 2[/tex]
[tex]\dfrac{v}{14} < -1[/tex]
[tex]v < -1 \times 14[/tex]
[tex]\boxed{\bold{v < -14}}[/tex]
Solution (3):
[tex]13 < \dfrac{n}{4}+ 9[/tex]
[tex]13 - 9 < \dfrac{n}{4}[/tex]
[tex]4 < \dfrac{n}{4}[/tex]
[tex]4 \times 4 < n[/tex]
[tex]\boxed{\bold{16 < n}}[/tex]
Solution (4):
[tex]138 > -6+9n[/tex]
[tex]138 + 6 > 9n[/tex]
[tex]144 > 9n[/tex]
[tex]\dfrac{144 }{9} > \dfrac{9n}{9}[/tex]
[tex]\boxed{\bold{16 > n}}[/tex]
Solution (5):
[tex]-9 + \dfrac{x}{2} > -14[/tex]
[tex]\dfrac{x}{2} > -14 + 9[/tex]
[tex]\dfrac{x}{2} > -5[/tex]
[tex]x > -5 \times 2[/tex]
[tex]\boxed{\bold{x > -10}}[/tex]
Solution (6):
[tex]-6 > -9 + \dfrac{k}{4}[/tex]
[tex]-6 + 9 > \dfrac{k}{4}[/tex]
[tex]3 > \dfrac{k}{4}[/tex]
[tex]3 \times 4 > k[/tex]
[tex]\boxed{\bold{12 > k}}[/tex]
Solution (7):
[tex]-11 > \dfrac{a}{2} -2[/tex]
[tex]-11 + 2 > \dfrac{a}{2}[/tex]
[tex]9 > \dfrac{a}{2}[/tex]
[tex]-9 \times 2 > a[/tex]
[tex]\boxed{\bold{-18 > a}}[/tex]
Mrs. Mueller writes an inequality on the board. The table shows the responses of four students for possible values of x.
3/5x > 6
Student:
Jacob 6
Kendra 8
Luke 10
Maya 12
Which student has a correct response to Mrs. Mueller’s inequality?
The possible value of x from the inequality 3/5x > 6 is 10; Luke got it right
How to solve inequality3/5x > 6
divide both sides by 3/5x > 6 ÷ 3/5
x > 6 × 5/3
x > 30/3
x > 10
Generally in mathematics, inequality in mathematics is a statement which shows or describes orders of relationship between two values with regards to greater than, less than or equals to.
Therefore, the student which has a correct response to Mrs. Mueller’s inequality is Luke
Learn more about inequality:
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Add another set of points that are 8 units below points A, B, C, and D. This time, you'll need to rotate the lines into a different orientation. Connect
the points you created to form another polygon that is congruent to ABCD. When you're done, you'll have translated polygon ABCD down by 8
units.
Measure the slopes of the line segments (i.e., construction paths) you created. Record the measurements in the table.
Yupppppppppppppppppppppppppppppp
Answer:
Lines segments:I Slope:
AI I Undefined
BJ I Undefined
CK I Undefined
DL I Undefined
Step-by-step explanation: ye
Find the volume of a cube with area of 1532m2
Answer:
4080.01
Step-by-step explanation:
V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042
Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.. Her budget is $85. Describe the constraints.
She can order a maximum of washcloths or bath towels.
Given:
The total cost of the order is
[tex]T=6b+2w[/tex]
where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.
Her budget is $85.
To find:
The constraints, so that she can order a maximum of washcloths or bath towels.
Solution:
We have,
[tex]T=6b+2w[/tex]
Her budget is $85. So, total cost is less than or equal to 85.
[tex]6b+2w\leq 85[/tex] ...(i)
For maximum number of bath towels, the number of wash cloths is 0.
[tex]6b+2(0)\leq 85[/tex]
[tex]6b\leq 85[/tex]
Divide both sides by 6.
[tex]b\leq \dfrac{85}{6}[/tex]
[tex]b\leq 14.167[/tex]
For maximum number of wash cloths, the number of bath towels is 0.
[tex]6(0)+2w\leq 85[/tex]
[tex]2w\leq 85[/tex]
Divide both sides by 2.
[tex]w\leq \dfrac{85}{2}[/tex]
[tex]w\leq 42.5[/tex]
Therefore, the required constraints for maximum of washcloths or bath towels are [tex]w\leq 42.5[/tex] and [tex]b\leq 14.167[/tex] respectively.
What is the greatest common divisor of 22021 + 22022, 32021+ 32022 ?
Answer:
2 may be the greatest one.
Answer:
12
Step-by-step explanation:
12
hello people ~
factorise: y² - 2y - 15
Answer:
[tex](y+3)(y-5)[/tex]
Step-by-step explanation:
Given the following equation:
[tex]y^2-2y-15[/tex]
To factor any equation, we must first break the equation into different groups and then factor out common terms in till we reach our solution.
[tex]y^2-2y-15[/tex]
[tex](y^2+3y)+(-5y-15)[/tex]
[tex]y^2=yy=y(y+3)[/tex]
[tex]y(y+3)+(-5y-15)[/tex]
[tex](-5y-15)=-5(y-15)[/tex]
[tex]y(y+3)+-5(y-15)[/tex]
[tex]15\div5=3[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)=(y+3)(y-5)[/tex]
[tex]=(y+3)(y-5)[/tex]
Your answer is "(y + 3)(y - 5)."
Hope this helps.
Answer:
[tex](y-5)(y+3)[/tex]
Step-by-step explanation:
To factorize [tex]y^2-2y-15[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot -15=-15[/tex]
[tex]b=-2[/tex]
Therefore, the 2 numbers that multiply together to give -15 and add together to give -2 are: -5 and 3
[tex]\implies y^2-5y+3y-15[/tex]
[tex]\implies (y^2-5y)+(3y-15)[/tex]
Factor the parentheses:
[tex]\implies y(y-5)+3(y-5)[/tex]
Factor out the common term [tex](y-5)[/tex]:
[tex]\implies (y-5)(y+3)[/tex]
College Alisha is putting cheese cubes and crackers onto small plates. She has 24 cubes of cheese and 40 crackers. She want both cheese and crackers on each plate and each plate must have the same number of cheese cubes and the same number of crackers. What is the greatest number of plates she can make using all the cheese and crackers.
Answer:
there will be 8 plates each having 3 cubes of Cheese and 5 crackers
Step-by-step explanation:
To determine the greatest number of plates she can make using all the cheese and crackers, find the highest common factor of 24 and 40
24 = 2, 3, 4, 6, 8, 12, 24
40 = 2, 4, 5, 8, 10, 20, 40
Highest common factor of 24 and 40 is 8
24 cubes of cheese / 8 plates = 3 cubes of cheese per plate
40 crackers / 8 plates = 5 crackers per plate
So, there will be 8 plates each having 3 cubes of Cheese and 5 crackers
solve using order of operations 6/5+8(5/8-3/5)^2
Answer:
Step-by-step explanation:
Find the exact value using trigonometric identities.
Exact Form:
241
200
Decimal Form:
1.205
Mixed Number Form:
1
41
200
Simplify the expression (2d + 3) + (3d − 12).
Answer:
(2d +3d) + 3-12 equals to 5d - 9
Step-by-step explanation:
you try collecting like terms
Answer:
[tex]5d-9[/tex]
Step-by-step explanation:
Given the following question:
[tex](2d + 3) + (3d-12)[/tex]
To find the answer remove the parentheses, group like terms, and solve by using inverse of operations.
[tex](2d + 3) + (3d-12)[/tex]
[tex]2d+3+3d-12[/tex]
[tex]2d+3d+3-12[/tex]
[tex]3-12=-9[/tex]
[tex]2d+3d+-9[/tex]
[tex]2d+3d=5d[/tex]
[tex]5d-9[/tex]
Your answer is "5d - 9."
Hope this helps.
One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the
definition of rigid motion?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
Un contador determina que el ingreso mensual " I ", en pesos chilenos, que obtiene un relojero con experiencia, por la reparación de un número "x" de relojes, está dado por la función ingreso: I ( x ) = 20.000x - 50x2 ¿Cuál es el ingreso en pesos chilenos de fabricar 15 relojes ? * 1 punto $345.780 $288750 $475.580 Otro:
Responder:
$ 288750
Explicación paso a paso:
Dados los ingresos mensuales de los pesos chinos expresados como;
I (x) = 20.000x - 50x² donde;
x es el número de relojes reparados.
Para calcular los ingresos obtenidos si se reparan 15 relojes, simplemente sustituiremos x = 15 en la ecuación modelada como se muestra;
Yo (15) = 20.000 (15) - 50 (15) ²
Yo (15) = 300 000-50 (225)
Yo (15) = 300.000-11250
I (15) = $ 288,750
Show work of Y=-5/2x-5
Find the slope
Answer:
-5/2
Step-by-step explanation:
Slope intercept form = y=mx+b
M=Slope
B=y-intercept
Answer:
-5/2 is the slope
Step-by-step explanation:
the form that it is currently in is slope intercept form
( y= mx+b ) m is the is the slope and x is a variable. -5 is the y intercept.
If m 2 BOC = 27 and m ZAOC = 61, what is the measure of ZAOB?
Can someone help me please
Mr Green: [tex]4(3a+1+2b) = 12a + 4 + 8b[/tex]
Mrs Green: [tex]6(5a-a)+4(2+4b)=6*4a + 8 + 16b = 24a +16b + 8[/tex]
Keith: [tex]4(2+4b+6a) = 8 + 16b + 24a=24a+16b + 8[/tex]
Kevin: [tex]4(6a+2)+8b + 2 = 24a + 8 + 8b + 2 = 24a + 8b + 10[/tex]
Thus Mrs Green and Keith has the expression that is equivalent to
'24a + 16b + 8'
Hope that helps!
what is an right angle and obtuse angle?
Answer:
Right angle is an angle of 90°
Obtuse angles is an angle greater than 90°
Answer:
A right angle is an angle of 90°
An Obtuse angles is an angle greater than 90°
Help I do not get this!!!
Show work if there is any please
Angle r and angel s are complementary angles if r=12x-3 and s= 7x-2, find m
Answer:
s=33
r=57
Step-by-step explanation:
12x-3+7x-2+90
19x-5=90
19x=95
x=5
12(5)-3=57
7(5)-2=33
The sum of a number and fourteen is less than or equal to three times the number.
Answer:
x=7
Step-by-step explanation:
x+14=3x
shift x to the other side
14=3x-x
14=2x
2x=14
x=14/2
x=7
Checking:
x+14=3x
7+14=3(7)
21=21
The sum of a number and fourteen is less than or equal to three times the number x + 14 = 3x, x = 7.
Given Information:
The sum of a number and fourteen is less than or equal to three times the number.
Let' consider the number is x, then w get this equation,
x + 14 = 3x
shift x to the other side
14 = 3x - x
14 = 2x
2x = 14
Divide 2 on both side,
x = 14/2
x = 7
For checking this value,
x + 14 = 3x
7 + 14 = 3(7)
21 = 21
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3
Answer!
Joan bought a personal stereo for $59.95. The sales tax rate was 6%.
What was her after-tax total?
a. $63.60
b. $64.55
c. $69.95
d. $63.55
Answer:
[D] $63.55
Step-by-step explanation:
GIven;
Joan bought a personal stereo for $59.95.The sales tax rate was 6%.To FInd:
What was her after-tax total?
Note:
After-tax total = Include tax
Solve;
$59.95 × 6%=3.597
Round ⇒ 3.60
$59.95 + 3.60 = 63.55
Hence, Joan after-tax total is [D} $63.55
~Learn with Lenvy~
Write an equation of a line that has an undefined slope and goes through the point (9,-5)
Answer:
x=9
Step-by-step explanation:
a undefined line is a straight line so the y value does not matter sence it goes through all the y values
Answer:
x= 9Step-by-step explanation:
Slope formula is
m = Δy/ΔxWhen Δx = 0 the denominator of the fraction is zero, hence it is undefined
So this is a vertical line
A vertical line passing through the point (9, -5) is x= 9
So the answer is x= 9
write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)
Answer:
6x-15 3(x-5) 3/2(2x-10)
Step-by-step explanation:
simplify
-1/2(-12x+30)
6x-15
factor in different ways
3(x-5)
3/2(2x-10)
Mrs. Lia deposited $4000 at Big Bank. If her money earned 4% simple interest annually. How much interest did she received at the end of 24 months?
Answer:
320$
Step-by-step explanation:
Since it's 4%
4000 * 0.04 = 160
24 months = 2 years
annually = 1 year
160 * 2 = 320$
Hope this helps!
Answer:
4000*0.04 = 160
24/12=2
160*2 = 320 interste receveid after 24 mounths
4000+320=4320
Step-by-step explanation:
- What transformation is described by the
notation (x, y) = (x-3, y)?
A translation left 3 units
B translation down 3 units
C translation right 3 units
A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side? NO LINKS
Answer:
26.17
Step-by-step explanation:
a^2+b^2=c^2
13 divided by 7 is what in fraction form
Answer:
common fraction is written in the form of two whole numbers, one above the ... For example 3/7 would be 3 divided by 7 = 0.428 571 .