The total cost y of a corporate team-building event can be expressed by the equation y = 1 + 1x, where x represents the number of attendees. This equation includes both the fixed and variable costs.
To determine the cost y of a corporate team-building event based on the number of attendees x, we need to include both the initial fixed cost and the variable cost per attendee.
The fixed cost of the event is $1, and the variable cost per attendee is also $1. The total cost can be expressed using the following equation:
y = 1 + 1x
Here:
y represents the total cost of the event.x represents the number of attendees.The term '1' before the plus sign is the initial fixed cost, and '1x' is the variable cost for the attendees.For example, if there are 5 attendees, the total cost would be calculated as:
y = 1 + 1(5) = 1 + 5 = 6 dollars
A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?
Answer:
230
Step-by-step explanation:
12 sections total
5 red, 4 green, the rest black
12-5-4 = 3 sections are black
3/12 = 1/4 of the sections are black
1/4 represents the probability of landing on black for one spin
(1/4)*921 = 230.25 which rounds to 230
We expect to land on a black section about 230 times out of 921 times total.
Alice wants to buy 3 pounds of veal at the grocery store, but the scales at the store only show weight in kilograms. If one kilogram is 2.20 pounds, how many kilograms of veal should Alice buy?
Alice should buy 1.36 kilograms of veal.
Step-by-step explanation:
Given,
According to store's scale;
2.20 pounds = 1 kilogram
1 pound = [tex]\frac{1}{2.20}\ kg[/tex]
As Alice wants to buy 3 pounds, therefore,
3 pounds = [tex]\frac{1}{2.20}*3\\[/tex]
[tex]3\ pounds = \frac{3}{2.20}\\3\ pounds = 1.36\ kg[/tex]
Alice should buy 1.36 kilograms of veal.
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Answer:
1.36
Step-by-step explanation:
she wants to buy 3 pounds of veal
we multiply 3 pounds by 1 kg/2.20 lbs
we get 1.36 pounds
Question 5 - Give your answer in its simplest form
Answer:
7.5 cm²
Step-by-step explanation:
Note that [tex]\sqrt{120}[/tex] = [tex]\sqrt{4(30)}[/tex] = 2[tex]\sqrt{30}[/tex]
Thus the side s of the square = 2[tex]\sqrt{30}[/tex] ÷ 4 = 0.5[tex]\sqrt{30}[/tex]
Hence
A = s² = (0.5[tex]\sqrt{30}[/tex])² = 0.25 × 30 = 7.5
The center of a circle is located at (3.8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle?
Answer:
The general equation of a circle is x² + y² - 6x - 16y + 48 = 0
Two times a number, plus five, equals the number, minus five.
Find the number and type it in the box.
Answer:
Answer:
x= -5
Step-by-step explanation:
let the number be x.
2x+5= -5 ====> equation
2x= -5-5. (shifted the +5 to the other side)
2x= -10
x= -10/2 ( shifted 2 on the other side as it was multiplying with x)
x= -5
Final answer:
To solve the equation 'two times a number, plus five, equals the number, minus five,' we set up and simplify the algebraic equation 2x + 5 = x - 5, which ultimately gives us the number x = -10.
Explanation:
The problem states that two times a number, plus five, equals the number, minus five. To find the number, we can set up the equation 2x + 5 = x - 5, where x represents the number we're trying to find.
Step 1: Start by subtracting x from both sides of the equation to get all the x terms on one side and the constant terms on the other side. The equation then becomes: 2x - x + 5 = x - x - 5, simplifying to x + 5 = -5.Step 2: Next, we subtract 5 from both sides of the equation to solve for x: x + 5 - 5 = -5 - 5, which simplifies to x = -10.Therefore, the number we were trying to find is -10.
How much can 7 go to 57
Answer:
8 times
Step-by-step explanation:
57/7=8.1428571428... round down to the nearest whole number.
Dr. Banks had 330 toothbrushes to give away to his patients.
He gave away 53 toothbrushes in January. He gave away 67
toothbrushes in February. In March he gave away 46
toothbrushes. How many toothbrushes does he have left?
Answer:
Dr. Banks Has 164 toothbrushes left to give away or to keep :)
Step-by-step explanation:
subtract 330-53-67-46= 164! Please mark brainliest :)
Answer:
164
Step-by-step explanation:
he had 330 toothbrushes
he gave away 53+67+46
which means he gave away
166 toothbrushes
so we subtract the toothbrushes that he had and the toothbrushes that he gave away.
330-166=164
7 chickens lay 35 eggs how many eggs will be laid by 40 chickens
Answer:
8
Step-by-step explanation:
By fives go up 1 number for eggs
A community hall is in the shape of a cuboid.
tile:
The hall is 40 m long, 15m wide and
3 m high.
3 m
total
The community hall needs re-decorating
with new paint for the walls and ceiling,
and new tiles on the floor.
15 m
40 m
A 10 litre tin of paint covers
1 m2 floor tiles cost £3 each.
Work out the total cost of
to re-decorate the community hall.
Answer:
The total cost of to re-decorate the community hall is £2172.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Are of Walls and Ceiling = [tex]2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2[/tex]
Therefore, the area of walls and ceiling is 930 square meters.
Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,
Total Painting cost = [tex]10 \times \frac{930}{25} = \£372[/tex]
Therefore, the total painting cost of wall is £372.
Tiles will be required for floor. Let us find the area of floor.
Area of floor = [tex]l \times b = 40\times15 =600m^2[/tex]
Given: 1m squared floor tiles costs £3. So,
Total Cost for tiles = [tex]3\times600= \£1800[/tex]
Therefore, the total cost for tiles is £1800.
Now let us find total cost of to re-decorate the community hall;
Total Cost = the total painting cost of wall + the total cost for tiles = [tex]\£1800+\£372= \£2172[/tex]
Hence, the total cost of to re-decorate the community hall £2172.
To redecorate the community hall, the cost for tiling the floor will be £4500, and the cost for painting will depend on the price per tin, with a total of 93 tins needed to cover 930m².
Explanation:To calculate the total cost of re-decorating the community hall, we need to find the areas that need painting and tiling. Since the hall is a cuboid, the paintable area includes the four walls and the ceiling. The floor requires tiling.
The combined area of the four walls can be found by calculating the perimeter of the base, which is the sum of all sides ((2 × length) + (2 × width)), and then multiplying by the height. The ceiling is simply the length multiplied by the width.
Here is how to calculate the areas and costs:
Therefore, the cost for tiling the floor will be £4500, and the cost for painting will be 93 tins (if each tin is assumed to cost a certain amount, which is not specified in the question).
i am confused on how to order them
Answer:
The order is as follows:
30, 44, 106
Step-by-step explanation:
Sum of all the three sides = 180°
⇒ (2y + 6)° + (y + 32)° + (8y + 10)° = 180°
⇒ 11y + 48 = 180°
⇒ 11y = 132
⇒ y = 12
Therefore, The angles become 30°, 44° and 106°
They are in the increasing order as well.
the ratio of black bags to blue bags is 5 to 3 if there are a total of 10 black bags then how many blue bags are there
Answer:
6
Step-by-step explanation:
3 times 2
Is 6 and 5 times 2 is 10
Final answer:
To find the number of blue bags, we calculate based on the 5 to 3 ratio with 10 black bags. Each part corresponds to 2 bags, hence there are 6 blue bags.
Explanation:
The question concerns the calculation of the quantity of blue bags based on a given ratio to the quantity of black bags. If the ratio of black bags to blue bags is 5 to 3, and there are a total of 10 black bags, then we can set up a proportion to find the number of blue bags.
To solve this, we assume the number of black bags (5 parts) equals 10, which means each part corresponds to 10 / 5 = 2 bags. Since there are 3 parts of blue bags in the ratio, we then multiply the number of bags per part by 3 (the number of blue parts), which gives us 3 * 2 = 6 blue bags.
What is the value of x in the equation 5 - 3x = -7 ?
The value of x in the equation 5 - 3x = - 7 is 4.
The simple algebraic expression consists of numbers and variables. The objective is to determine the value of x in this expression.
From the given information;
5 - 3x = - 7-3x = -7 - 5-3x = -12Multiply both sides by (-)
3x = 12Divide both sides by 3
[tex]\mathbf{\dfrac{3x}{3} = \dfrac{12}{3}}[/tex]
x = 4
Therefore, the value of x in the equation 5 - 3x = -7 is 4.
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Final answer:
The value of x in the equation 5 - 3x = -7 is found to be x = 4 after isolating x through subtraction and division.
Explanation:
To solve the equation 5 - 3x = -7, we need to isolate x. Let's move through the steps together:
Subtract 5 from both sides of the equation to get: -3x = -7 - 5.Simplify the right side of the equation: -3x = -12.Divide both sides of the equation by -3 to isolate x: x = -12 / -3.Therefore, x = 4.The value of x in the equation is 4.
at 2:30 a.m. the temperature in joelle is – 3f. the temperature drops 3/4 of a degree in 30 minutes. what is the temperature in joelle at 3:00 a.m.?
The temperature in joelle at 3:00 a.m. will be -3.75F
Step-by-step explanation:
Given that the temperature was -3F at 2:30 am
Temperature drops by 3/4 of a degree in 30 minutes
3/4 of a degree = 0.75 F
Time difference between 2:30 am and 3:00 am is 30 minutes
Temperature at 3:00 will be;
-3F -0.75 F = -3.75 F
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Terrance bikes 3.6 miles to school in 18 minutes. Jaqueline bikes 5.4 miles to school in 30 minuets assuming each student rode at a constant speed , who is traveling at a faster speed
Answer:
jaqueline, because 3.6/18 =0.2 and 5.4/30=1.8
Step-by-step explanation:
Final answer:
Terrance is traveling at a faster speed of 12 mph compared to Jaqueline's 10.8 mph, after converting their biking times to hours and calculating the speed for each.
Explanation:
To determine who is traveling at a faster speed, we calculate the speed (rate) at which each student is biking. Speed is computed using the formula: speed = distance / time. For Terrance, who bikes 3.6 miles in 18 minutes, we must first convert minutes to hours, so 18 minutes is 0.3 hours (since 1 hour = 60 minutes). Thus, Terrance's speed is 3.6 miles / 0.3 hours = 12 miles per hour (mph).
For Jaqueline, who bikes 5.4 miles in 30 minutes, we also convert the minutes to hours to get 0.5 hours. Jaqueline's speed is 5.4 miles / 0.5 hours = 10.8 mph.
Comparing the two speeds, Terrance has a faster speed at 12 mph compared to Jaqueline's 10.8 mph.
The absolute value of 64
Answer: 64
Step-by-step explanation:
the absolute value of a positive number is that number , the absolute value of a negative number is that numbers opposite .
The absolute value is a concept in mathematics that signifies the magnitude of a number, disregarding its positive or negative sign. The absolute value of a number refers to its magnitude, regardless of its sign. Thus, the absolute value of 64 is itself, which is 64.
Explanation:The absolute value is a concept in mathematics that signifies the magnitude of a number, disregarding its positive or negative sign. Think of it as a number's distance from zero. Considering your question, the absolute value of 64 is simply 64. This is because 64 is already a positive number, and the absolute value of a positive number is the number itself.
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During a walkathon, Team A walked a total of 6x+12 miles and Team B walks a total of 4x-7 miles. What is the difference in miles between the two teams?
A) 2x-5
B) 2x+5
C)2x-19
D)2x+19
Please show work so I can understand the question Thanks!
The right answer is Option D.
Step-by-step explanation:
Distance of Team A = 6x+12
Distance of Team B = 4x-7
Difference between two teams means subtraction, therefore, subtracting the distance of Team B from Team A;
[tex](6x+12)-(4x-7)\\6x+12-4x+7[/tex]
Combining alike terms;
[tex]6x-4x+12+7\\2x+19[/tex]
The difference between two teams is 2x+19.
The right answer is Option D.
Keywords: subtraction
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Answer:
Step-by-step explanation:
Distance of Team A = 6x+12
Distance of Team B = 4x-7
Combining alike terms;
6x-4x+12+7
6x-4x=2x
12+7=19
2x+19
The difference between two teams is 2x+19.
The right answer is Option D.
Rewrite the following multiplication problem using the associative property and then show that both results will be the same. (1/2)x(2/3)x(4/5)
Answer(1/2)x(2/3)x(4/5)
(1/2x2/3)x(4/5)
(1 1/4x2 1/2)
2 3/4
Step-by-step explanation:
(1/2)x(2/3x4/5)
(1/2x1 3/4)
2 3/4
two numbers have these properties both numbers are greater than 6 the highest common factor is 6 the lowest common multiple is 60 find the two numbers
The two numbers that fulfill these properties are 12 and 30. They both have a highest common factor of 6 and a lowest common multiple of 60.
Explanation:The two numbers that fit the description provided both need to be greater than 6, have a highest common factor (HCF) of 6, and a lowest common multiple (LCM) of 60.
For two numbers to have an HCF of 6, they must be multiples of 6. Looking at multiples of 6 that are greater than 6, we have 12, 18, 24, 30 etc. Since the LCM must be 60, we aim to find two numbers that when multiplied would produce 60. This leads us to the pair 12 and 30.
12 and 30 have an HCF of 6 (because 12=2*2*3 and 30=2*3*5, so the HCF is 2*3=6), and 12 and 30 both have an LCM of 60. Therefore, the two numbers are 12 and 30.
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The two numbers that meet these criteria, are greater than 6 and the ones that have the highest common factor as 6 and lowest common multiple as 60, are 6 and 60.
Explanation:In this problem, we are asked to find two numbers that have the following properties: they are both greater than 6, their highest common factor(HCF) is 6 and their lowest common multiple(LCM) is 60. Since HCF is 6, it's logical to assume that the two numbers can be multiples of 6. As per hints given the highest common factor of two numbers is 6 and the lowest common multiple is 60, the numbers should be 6 and 60 as these are the only two numbers that satisfy all conditions.
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(4x squared) to the third power
Answer:
64x⁶
Step-by-step explanation:
(4x²)³
= 4³(x²)³ <=the third power applies to both of the terms in the bracket
= 64x⁶ <=simplify
(x²)³ = x⁶ because when powers are raised to a power, they multiply.
(x²)³ = x²⁽³⁾ = x⁶
write an equation in point slope form (4,2) m=7
Answer:
y=7x-26
Step-by-step explanation:
3p^4(4p+7p+4p+1)
????????
HEY DEAR
Answer:
45p^5 + 3p^4
step by step explanation:-
3p^4( 4p+7p+4p+1)
3p^4 (11p + 4p) +1
3p^4 (15 p +1)
multiplying 3p^4 to both 15p and 1 we get:-
3p^4× 15p +3p^4× 1
=45p^5 +3p^4
HOPE ITS HELPFULL
find the value of a and b
a^2 + b^2 = 400
Answer:
Step-by-step explanation:
a^2+b^2=400
a^2=400-b^2
a=sqrt(400-b^2) & -sqrt(400-b^2)
-----------------------------------------------
b^2=400-a^2
b=sqrt(400-a^2) & -sqrt(400-a^2)
Answer:
20
Step-by-step explanation:
on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20
Answer:
Share of A is $116 and Share of B is $84.
Step-by-step explanation:
Let the share of A be [tex]x[/tex]
Let the share of B be [tex]y[/tex]
Given:
$200 is shared between A and B
So, [tex]x+y =\$200\ \ \ \ equation \ 1[/tex]
Also given;
twice of A's share is less than 3 times than B's share by $20
[tex]2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2[/tex]
Solution:
Now multiplying equation 1 by 3 we get,
[tex]3x+3y=600 \ \ \ \ equation \ 3[/tex]
Now Adding equation 2 and equation 3 we get
[tex](2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116[/tex]
Now Substituting the value of x in equation 1 we get,
[tex]x+y=200\\116+y=200\\y=200-116 = \$84[/tex]
Hence, Share of A is $116 and Share of B is $84.
Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 1.
Answer:
[tex]x^{2}[/tex]-5x+6
Step-by-step explanation:
(x-2)(x-3)
= [tex]x^{2}[/tex] -5x + 6
please help with the question below!
Answer:
C
Step-by-step explanation:
I don't know exactly why it is C, but I know it isn't the other ones.
(I realize this is not a very concrete answer and it may be wrong, but good luck!)
What is the difference between calculations and patterns
Answer:
"Calculation" is a mathematical determination of finding the size or number of something while "pattern" is a sequence of elements that is being repeated in a predictable manner.
Step-by-step explanation:
Calculation- This process allows you to put elements together or transform them into a new result. It produces an obvious change.
For example: 7 x 6 = 42
The numbers 7 and 6 when multiplied produces 42.
Pattern- This process allows you to put the elements in an intelligible way. The elements are organized or repeated regularly.
For example: A, B, C, A, B, C, A, B, C
It is noticeable that the letters A, B and C are being repeated in the same way.
Write a word problem using 7 groups. Solve your problem?
A real-world problem using 7 groups can be illustrated like a builder constructing 7 buildings each requiring 15 bricks per day. Multiplying these, 7 times 15 gives us 105, which is the total number of bricks needed each day.
Explanation:Consider a scenario where a builder is constructing 7 buildings. Each building needs 15 bricks per day for construction. We can therefore write a multiplication problem to find out how many total bricks are needed each day.
So, 7 (groups of buildings) multiplied by 15 (bricks per building) equals a total daily brick requirement. To solve this, you simply multiply 7 by 15 which equals 105 bricks needed each day.
This is a simple real-world problem to help understand the concept of multiplication as repeated addition. Here, you're adding 15 bricks 7 times since there are 7 buildings.
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deigo pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?
Answer:
20% x 5 = 100%
6.8 x = 34
so there was 34 oz of water in the full bottle
Step-by-step explanation:
Please answer this correctly
Answer: 30 minutes
Step-by-step explanation:
Start time: 25 minutes to noon means 25 minutes before* noon. End time: 5 minutes past noon means 5 minutes after* noon.
25mins
+5mins
______
30mins
A 60-kilogram person stands on a compression spring. The spring constant is 2500 Newtons per meter What is the displacement of the spring?
A)0.00392M
B) 0.024m
C)0.1176m
D)0.2352M
The displacement [tex](\( \Delta x \))[/tex] of the compression spring when a 60-kilogram person stands on it, with a spring constant of 2500 N/m, is approximately -0.2352 meters. The negative sign indicates the direction of the displacement. Therefore, the correct answer is D.
To find the displacement [tex](\( \Delta x \))[/tex] of the spring, you can use Hooke's Law:
[tex]\[ F = -k \cdot \Delta x \][/tex]
Where:
- F is the force applied (weight in this case),
- k is the spring constant, and
- [tex]\( \Delta x \)[/tex] is the displacement of the spring.
Rearrange the formula to solve for [tex]\( \Delta x \)[/tex]:
[tex]\[ \Delta x = -\frac{F}{k} \][/tex]
Substitute the given values:
[tex]\[ \Delta x = -\frac{mg}{k} \]\[ \Delta x = -\frac{(60 \, \text{kg})(9.8 \, \text{m/s}^2)}{2500 \, \text{N/m}} \][/tex]
Calculate the result:
[tex]\[ \Delta x \approx -0.2352 \, \text{m} \][/tex]
The negative sign indicates that the displacement is in the opposite direction to the applied force. Therefore, the correct answer is:
D) [tex]\( -0.2352 \, \text{m} \)[/tex]