Answers
Answer:
- Substitute $410 for C in the equation and solve.
- 9 people could go on the trip with $410
Step-by-step explanation:
B) We are told the bus company is charging them using the formula;
C = 50 + 40n
Where;
C is the total cost
n is the number of people
Now, we are told that a parent group is willing to give the club $410. Thus, we will substitute $410 for C in the equation and solve.
410 = 50 + 40n
Subtract 50 from both sides to get;
410 - 50 = 40n
360 = 40n
n = 360/40
n = 9
Related Questions
At the end of each year, 10% interest is charged on a $500 loan. The interest applies to any unpaid balance on the loan, including previous interest.Select all the expressions that represent the loan balance after two years if no payments are made: 500+2⋅(0.1)⋅500500⋅(1.1)⋅(1.1)500+(0.1)+(0.1)500⋅(1.1)²(500+50)⋅(1.1)
Answers
We have the following:
Since it's two years, the interest rate applies twice, just like that
\((500)\cdot(1.1)\cdot(1.1)=500\cdot(1.1)^2=605\)Now we check each case
\(\begin{gathered} 500+2\cdot\mleft(0.1\mright)\cdot500=600 \\ \text{FALSE} \\ 500\cdot\mleft(1.1\mright)\cdot\mleft(1.1\mright)=605 \\ \text{TRUE} \\ 500+\mleft(0.1\mright)+\mleft(0.1\mright)=500.2 \\ \text{FALSE} \\ 500\cdot\mleft(1.1\mright)^{2}=605 \\ \text{TRUE } \\ \mleft(500+50\mright)\cdot\mleft(1.1\mright)=605 \\ \text{TRUE} \end{gathered}\)Using no other digits except 2 and 5 write down, if possible, a three-digit multiple of 5
Answers
Answer:
225
Step-by-step explanation:
Answer:
255
Step-by-step explanation:
One example of a number that meets this criteria is 255.
a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answers
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
Kay loves to save coins. She has a piggy bank that she has been filling for a long time with only dimes and nickels. Recently, her piggy bank was filled to the brim so Kay counted her coins and she discovered that she had $10. She also noticed that she has 11 less dimes than nickels. How many coins were in Kay's bank?
Answers
The total number of coins that were in Kay's bank are 137 coins.
How to determine the number of coins?In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let n represent number of nickels.Since she has 11 less dimes than nickels, an equation which models this situation is given by;
n = d + 11 ....equation 1.
Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.
Additionally, the coins are worth 10 dollars;
0.1d + 0.05n = 10 ....equation 2.
By solving both equations simultaneously, we have:
0.1d + 0.05(d + 11) = 10
0.1d + 0.05d + 0.55 = 10
0.15d = 9.45
d = 63 dimes.
For nickels, we have:
n = d + 11
n = 63 + 11
n = 74
Now, we can determine the total number of coins;
Total number of coins = n + d
Total number of coins = 74 + 63
Total number of coins = 137 coins.
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A circle has a diameter of 62.8 cm. What is the length of this circle's radius?
Pls give me an actual answer
Answers
Answer:
Step-by-step explanation:
The diameter of the circle is the length of a line going through the middle from one side to the other.
The radius is the length of a line going from the middle of a cricle to the side.
So, the radius is half of the diameter.
62.8÷2=31.4
The radius is 31.4 cm.
According to this diagram, what is tan 62°?
Answers
Answer:
12
Step-by-step explanation:
i think that is the answer
can you explain two different ways you could find measure of ⟨CFD can u explain in words and what is the measure of this angle
Answers
One way to find CFD is to use the fact that CFD and CFB and BFA add 180 degrees because they are supplementary angles
Another way to find CFD is to use the fact that it is congruent with angle AFE
First we have to find x:
(7x + 4) + (8x + 6) + (6x + 2) = 180 ==> 7x + 8x + 6x + 4 + 6 + 2 = 180 = 21x + 12 = 180 ==> 21x = 180-12 = 168
x = 168/21 = 8 ==> x = 8
If we use the first option to find CFD:
AFB + BFC + CFD = 180 ==> (8x + 6) + (6x + 2) + CFD = 180 ==> (8*8 +6) + (6*8 + 2) + CFD = 180
64+6+48+2+CFD = 180 ==> 70+50+CFD = 180 ==> CFD = 180 - 70 -50 = 60
CFD = 60
10=8x^2+2x in standard form with the steps
Answers
Answer:
8x=10
Step-by-step explanation:
hope helps
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answers
Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
1.) Buddy the ELF arranged 42 candy canes and 56 chocolate lollipops into * 1 point
holiday bags. He packed both the candy canes and chocolate lollypops into
each holiday bag. He put the same number of candy canes and chocolate
lollypops into each holiday bag. How many holiday bags did Buddy the ELF
need for packing?
Answers
The number of holiday bags Buddy the ELF need for packing is 14
How many holiday bags did Buddy the ELF need for packing?From the question, we have the following parameters that can be used in our computation:
Chocolate lollipops = 56
Candy cane = 42
The greatest common factor of 56 and 42 represent the number of holiday bags
So, we have
Chocolate lollipops = 56 = 2 * 2 * 2 * 7
Candy cane = 42 = 2 * 3 * 7
Next, we have
GCF = 2 * 7
This gives
GCF = 14
Hence. the number of bags is 14
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Chairs are being arranged in rows for an assembly in the school cafeteria. The same number of chairs is in each row. If there are 304 chairs in 8 rows, write an equation that could be used to determine y, the total number of chairs in x rows.
y = 304x
y = 8x
x = 38y
y = 38x
Answers
The proportional relationship used to determine the total number of chairs in x rows is given as follows:
y = 38x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The variables for this problem are given as follows:
Variable x: number of rows.Variable y: total number of chairs.There are 304 chairs in 8 rows, hence the constant is given as follows:
k = 304/8
k = 38.
Meaning that the equation is given as follows:
y = 38x.
And that the fourth option is correct.
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The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
Answers
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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What is the sine of 0?
(Need help)
Answers
The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.
To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:
a · b = |a| |b| cos(θ)
where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.
In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).
The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:
|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1
The dot product of the two vectors is:
a · b = (1)(15/17) + (0)(-8/17) = 15/17
So we have:
15/17 = (1)(1) cos(θ)
cos(θ) = 15/17
To find sin(θ), we can use the trigonometric identity:
sin²(θ) + cos²(θ) = 1
sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289
Taking the square root of both sides, we get:
sin(theta) = sqrt(64/289) = 8/17
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Two parallel lines are cut by a transversal as shown below.
Suppose
Answers
Answer:
m < 2 = 36
m < 3 = 148
Step-by-step explanation:
180 - 148 = 32
The measure of <2=32 and <3=148
What is are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Given:
m<5 = 148
As, by alternate interior angle
m<5 = m<3
So, m<3 = 148
Also, <2 and <3 forms a linear pair.
So,
m<2 + M<3 = 180
148 + m<2 = 180
m<2 = 32
Hence, the measure of <2 = 32 and <3 = 148.
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someone help me please
Answers
Answer:
all real numbers greater than but not equal to 0
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
Answers
9514 1404 393
Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
Luke made 25% of his free throws over the season if he shot 200 free throws how many did he make?
Answers
Based on the number of throws Luke had and the percentage he made, the number he made was 50 throws.
Number of Free Throws MadeThere were 200 free throws in the season and Luke was able to make about 25% of them.
The formula to find this is therefore:
= Number of free throws x Percentage made
Solving gives:
= 200 x 25%
= 50 throws
In conclusion, Luke made 50 throws.
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Write the algebraic rule for the given verbal descriptions Translation right 5 units, up 6 units Group of answer choices (x,y)⟶(x+5,y+6) (x,y)⟶(5x,6y) (x,y)⟶(x+6,y+5) (x,y)⟶(x−5,y+6)
Answers
Answer:
(x,y)⟶(x+5,y+6)
Step-by-step explanation:
First lets identify what we are doing. We know that 6 units up is a verticle translation. We know that going up numbers means that the number are being added, so we know that it will be a plus six. Next, we know that we are going five units to the right. We know that going right in terms of numbers means that that number is getting bigger, and is having numbers added. As such, we know that the horizontal translation of five units right will be positive, so it would be plus five. Remember when going left, you are subtracting a number, and when going right, you are adding. Also, we must make sure that we understand that the verticle translation changes the y coordinate, while the horizontal translation changes the x coordinate.
So we can put together what we learned.
The answer is:
(x,y)⟶(x+5,y+6)
A rectangle has a length two times the width. Describe how you would find the
perimeter and area.
Answers
Answer:
perimeter = 6w
area = 2w^2
Step-by-step explanation:
we can use the variable w for width, and 2w for length perimeter would be width + width + length + length, or 6w
area is width x length or 2w^2
Answer:
Step-by-step explanation:
L=2W
A=LW and since L=2W
A=2W^2
P=2(L+W), and again since L=2W
P=2(2W+W)
P=2(3W)
P=6W
PLEASEEEE HELPP MEEE WITHHH NUMBERSSS 9 AND 10
PLEASEEE HELPPP MEEEEE!!!!!!!!
Answers
Answer:
9: 89°
Step-by-step explanation:
Inside of a triangle is 180, so 180-39-52=89
I'm sorry I can't answer 10 for you
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
$$
Answers
The y-intercept of the line representing Beatrice's monthly music is 20
How to determine the y-intercept of the lineFrom the question, we have the following parameters that can be used in our computation:
y = -.95x + 20
To calculate the y-intercept of the line, we set x = 0
So, we have
y = -.95 * 0 + 20
Evaluate
y = 20
Hence, the y-intercept of the line representing Beatrice's monthly music is 20
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Question
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
The equation is y = -.95x + 20
Which expression is equivalent to -3(2x - 8) + 4x?
Answers
Answer:
- 2x + 24
Step-by-step explanation:
- 3(2x - 8) + 4x ← distribute parenthesis by - 3
= - 6x + 24 + 4x ← collect like terms
= - 2x + 24 or 24 - 2x
Hey there!
-3(2x - 8) + 4x
DISTRIBUTE -3 within the parentheses
= -3(2x) - 3(-8) + 4x
= -6x + 24 + 4x
COMBINE the LIKE TERMS
= (-6x + 4x) + (24)
= -6x + 4x + 24
= -2x + 24
Therefore, your answer should be:
-2x + 24
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
how many more pizzas dose the Westland location need to sell the equal downtown and center city locations
Answers
Answer:
530 :)
Step-by-step explanation:
If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer
if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answers
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
What is 8(3 + a) = 64
a =
Answers
Answer: a = 3
Step-by-step explanation:
The slope of the line below is -2. Which of the following is the point-slope
form of the line?
(4,-8)
l
O A. y + 4 =-2(x-8)
O B. y- 8 = -2(x + 4)
© C. y- 4 = -2(x+ 8)
) D. y + 8 = -2(x-4)
Answers
Answer:
its D
Step-by-step explanation:
because yeah I'm learning this right now in geometry and yet you put in the numbers for y and x in the point slope formula
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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The location of a monkey in its coordinate space enclosure is expressed as the ordered triple M (−8, 0, 0). A treat has been hidden in the same enclosure at a location expressed as T (0, 0, 6).
If each unit on the graph measures 1 foot, how far is the monkey from the treat? (Hint: The Pythagorean theorem can be used because the x-axis, y-axis, and z-axis each intersect at a right angle.)
2 ft
6 ft
10 ft
14 ft
Answers
Answer: I believe it’s 10 ft
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
the answer is actually 81
Answers
Answer:
okay i'll keep this in mind
Step-by-step explanation:
Is an acute triangle less than 90 degrees?
Answers
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
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