Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Answer:
227 children and 109 adults
Step-by-step explanation:
227*1.5+109*2.5=613
227+109=336
Arrange the entries of matrix AB in increasing order of their values.
Answer:
[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]
Step-by-step explanation:
Given
See attachment for A and B
Required
Arrange AB in ascending order
We have:
[tex]A = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right][/tex]
and
[tex]B = \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]
So:
[tex]C = A * B[/tex]
[tex]C = \left[\begin{array}{ccc}1&7&-1\\5&-2&-9\\-3&8&3\end{array}\right] * \left[\begin{array}{ccc}5&1&7\\3&15&-2\\-1&-9&25\end{array}\right][/tex]
[tex]C = \left[\begin{array}{ccc}{27}&{115}&{-32}\\{28}&{56}&{-186}\\{6}&{90}&{38}\end{array}\right][/tex]
Where:
[tex]C_{1,1} =1*5 + 7*3 + (-1) * (-1)[/tex]
[tex]C_{1,2} =1*1 + 7*15 + (-1)*(-9)}[/tex]
[tex]C_{1,3} = 1*7 + 7*(-2) + (-1)*25}[/tex]
[tex]C_{2,1} = 5*5 + (-2)*3 + (-9) * (-1)}[/tex]
[tex]C_{2,2} = 5*1 + (-2)*15 + (-9)*(-9)}[/tex]
[tex]C_{2,3} = 5*7 + (-2)*(-2) + (-9)*25}[/tex]
[tex]C_{3,1} =(-3)*5 + 8*3 + 3 * (-1)[/tex]
[tex]C_{3,2} = (-3)*1 + 8*15 + 3*(-9)[/tex]
[tex]C_{3,3} = (-3)*7 + 8*(-2) + 3*25[/tex]
In increasing order, we have:
[tex]-186 \to -32 \to 6 \to 27 \to 28\ to 38 \to 56 \to 90 \to 115[/tex]
What is the measurement of angle 1?
please help
Answer:
∠ 1 = 63°
Step-by-step explanation:
∠ 1 and 117° are adjacent angles and sum to 180° , that is
∠ 1 + 117° = 180° ( subtract 117° from both sides )
∠ 1 = 63°
Solve for n: 2^3n = 4
Answer:
n=1/2
Step-by-step explanation:
What is the mean of the snowfall amounts?
16.9 inches
15 inches
15.9 inches
16 inches
Year Snowfall (inches)
1997 14
1998 10
1999 17
2000 24
2001 12
2002 19
2003 15
2004 27
2005 14
2006 17
Answer:
16.9
Step-by-step explanation:
14+10+17+24+12+19+15+27+14+17=169
169/10=16.9
Convert the decimal, 2.55, into an improper fraction
Answer:2.55 in fraction form is 51/20.
Step-by-step explanation:
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
is it 7?
Step-by-step explanation:
Please help me I need help
What is the scale factor?
NEED HELP ASAP!
Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original
C'D' = 6 and CD = 3 then
scale factor = [tex]\frac{6}{3}[/tex] = 2
Please help me and if you can, could you please explain. Thank you :D
Answer: you said help so I’m not going to give the actual answer, just how to do it.
Step-by-step explanation:
You have to find the answer first. You work out the top and then you work out the bottom. Then divide the top by the bottom. YIU will get a number woth a power. The power is x that is your answer.
Answer:
Step-by-step explanation:
please help i am confused
[tex]5x + 11(7x - 3[/tex]
[tex]82x - 33[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the volume of the cylinder in terms of pie and to the nearest tenth 4 in 1in
Answer:
Actual answer:
4^4 = 16
16 x 3.14 = 50.24
50.24 x 1(height) = 50.24
Rounded to the nearest Tenth:
50.24 rounded = 50.2
To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly
Answer:
The final balance is $16,406.01.
The total compound interest is $8,406.01
Step-by-step explanation:
take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.
How many coins make $7.68 in cents
the capacity of a jug is 6L. Kerry needs 5L of juice for a party. how many jugs will she have to make?
from the owner's lil sis
Answer:
One
Step-by-step explanation:
Given data
The capacity of Jug= 6L
Needed capacity of Juice= 5L
Hence one Jug of Juice will be enough because one jug of juice will cover for 6L and 1 L will actually remain
Could someone please help me with the surface area of this prism
Answer:
it is in the picture above
Step-by-step explanation:
please give branliest if you want
Una botella de agua de 3/4 de litro de capacidad, tiene solo la mitad de líquido, ¿qué cantidad de litros de agua tiene la botella? *
A. 3/2 de litro
B. 3/8 de litro
C. 8/3 de litro
D. 1/2 de litro
Answer:
Amount of water in bottle = 3/8 liter
Step-by-step explanation:
Given:
Total capacity of bottle = 3/4 liter
Amount of water in bottle = 1/2 of total capacity
Find:
Amount of water in bottle
Computation:
Amount of water in bottle = [Total capacity of bottle[1/2 of total capacity]
Amount of water in bottle = [3/4][1/2]
Amount of water in bottle = 3/ [(4)(2)]
Amount of water in bottle = 3/8 liter
Are 6x+4-3x+8 and 3x+4 equivalent?
Why not? Well the 6x-3x portion simplifies to 3x. So the x terms are equivalent; however, the 4 and 8 in the first expression combine to 12, which is not equivalent to that 4 in the other expression.
In other words, 6x+4-3x+8 should simplify to 3x+12 and not 3x+4.
find the square root of 3 upon 5 upto 2 decimal places
Answer:
Square root of 3 upon 5:
√3÷5
= 0.3464101615137
≈ 0.35 (corrected to 2 decimal places)
Answer quick. please say either A,B or C in your answer. no need for explanation
find the value of x for the question.
Answer:
5
Step-by-step explanation:
Both angles together will equal as they are opposite of each other
therefore
15x=16x-5
15x+5=16x
5=x
Answer:
x = 5
Step-by-step explanation:
The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:
15x = 16x - 5
Now that we have an equation, we can solve for x.
First, we subtract 15x from both sides. Now we're left with an equation that should look like this:
0 = x - 5
Now we add 5 to both sides to get our solution. It should look like this.
5 = x
And there's your answer! Hope this helps.
Are HMS is the same as Are HSM, since they use the same letters and points on the circle
?
True or false ?
Step-by-step explanation:
its "false" they r not same.
stay safe healthy and happy.
out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?
Answer:
5 ÷ 5 = 1
125 5 25
Step-by-step explanation:
The number between the two it's the number of people who does both
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
65% off means the sale price would be 35% of the original price ( 100% - 65% = 35%)
To find the sale price multiply the original price by 35%
31 x 0.35 = 10.85
The sale price is $10.85
solve for 5 + 6f > 8f -7
linear inequalities
Answer:
5+6f>8f-7
5+7>8f-6f
12>2f
6>f
f<6
Step-by-step explanation:
PLEASE HELP
7) What are examples of a polyhedron? Check ALL that apply. *
cylinders
triangular prisms
spheres
rectangular prisms
square prisms
cubes
cones
Create a polynomial function in factored form that crosses through the x-axis at -2 and touches the x-axis and turns around at 4.
Given:
A polynomial crosses through the x-axis at -2 and touches the x-axis and turns around at 4.
To find:
The polynomial function in factored form.
Solution:
If the graph of a polynomial intersect the x-axis at [tex]x=a[/tex], then [tex](x-a)[/tex] is a factor of the polynomial.
If the graph of a polynomial touches the x-axis at [tex]x=b[/tex], then [tex](x-b)[/tex] is a factor of the polynomial with multiplicity 2. In other words [tex](x-b)^2[/tex] is the factor of the polynomial.
It is given that the polynomial crosses through the x-axis at -2. So, [tex](x+2)[/tex] is a factor of required polynomial.
It is given that the polynomial touches the x-axis and turns around at 4. So, [tex](x-4)^2[/tex] is a factor of required polynomial.
Now, the required polynomial is:
[tex]P(x)=(x+2)(x-4)^2[/tex]
Therefore, the required polynomial is [tex]P(x)=(x+2)(x-4)^2[/tex].
what is 2x=10 simplified?
Answer:
x=5
Step-by-step explanation:
2x=10
Divide each side by 2
2x/2 = 10/2
x = 5
Tamara orders graphic novels. Each graphic novel costs $9.50. A one-time shipping fee of $12.25 is added to the cost of the order. The total cost of Tamara’s order before tax is $183.25. How many graphic novels did Tamara order?
Answer:
18 novels
Step-by-step explanation:
X= number of novels, 12.25 is a fixed fee.
9.50x+12.25=183.25
9.50x=171
x=18 novels
WHATS THE VOLUME PLS HELP
Answer:
Step-by-step explanation:
Volume is the quantity of three dimensional enclosed by a closed surface , for example , the space that a substance or 3D shape excipients or contains .Volume is often quantified numerically using the SI derived unit , the cubic metre.