The bat weighs 10kg.
Two equations can be gotten from the question:
5a + 4b = 58 equation 1
4a + 5b = 50 equation 2
Where:
a = weight of bats
b = weight of balls
The two equations are simultaneous equations and would be solved using the elimination method.
In order to determine the weight of balls, take the following steps:
Multiply equation 1 by 4 and equation 2 by 5
20a + 16b = 232 equation 3
20a + 25b = 250 equation 4
Subtract equation 3 from 4
18 = 9b
Divide both sides of the equation by 9
b = 2kg
In order to determine the weight of bats, take the following steps:
Replace for b in equation 1
5a + 4(2) = 58
5a + 8 = 58
5a = 58 - 8
5a = 50
Divide both sides of the equation by 5
a = 10kg
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The Lucas numbers are defined by the recursive formula t1 = 2, t2 = 1, tn = tn - 1 + tn - 2, where n âN and n > 2. What are the first 9 Lucas numbers?
The first two are given to you, [tex]t_1=2[/tex] and [tex]t_2=1[/tex]. Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.
Since the n-th Lucas number is the sum of the previous two Lucas numbers, you have
[tex]t_3 = t_2 + t_1 = 1 + 2 = 3[/tex]
[tex]t_4 = t_3 + t_2 = 1 + 3 = 4[/tex]
[tex]t_5 = t_4 + t_3 = 4 + 3 = 7[/tex]
[tex]t_6 = t_5 + t_4 = 7 + 4 = 11[/tex]
[tex]t_7 = t_6 + t_5 = 11 + 7 = 18[/tex]
[tex]t_8 = t_7 + t_6 = 18 + 11 = 29[/tex]
[tex]t_9 = t_8 + t_7 = 29 + 18 = 47[/tex]
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Answer:
ouuu noice king of spades
Answer:
♀️♀️
Step-by-step explanation:
bahahaha
Work out m and c for the line:
y = 10 – x
Answer:
what
Step-by-step explanation:
Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
Part A: Choose the compound inequality that describes the elevation x of Ted's house
B: Ted lives between ____ m and _____ m above sea level.​
Please help me, I really don't know where to start.
Answer:
98 or 105
Step-by-step explanation:
Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation.
What is the constant of proportionality? Express your answer in decimal form.
Answer:
2.58
Step-by-step explanation:
I just did the problem -(-8) -(-2) and i think the answer is 12. am i right
Answer:
I got 10 as the answer
Step-by-step explanation:
-(-8)-(-2)
8-(-2)
8+2
10
Answer:
is it -(-8) -(-2) or
(-8) -(-2) cause
I think you can use a number line which comes to a +6
Mr. Flores opened an account with a deposit of $5,000.
• The account earned annual simple interest.
• He did not make any additional deposits or withdrawals.
• At the end of 4 years, the balance of the account was $6,500.
What is the annual interest rate on this account?
A. 5.8%
B. 7.5%
C. 3.3%
D. 1.9%
Answer:
B. 7.5%
Step-by-step explanation:
First, we need the Simple Interest (S.I)
Total = Principal + Simple Interest
T = P + S.I
6500 = 5000 + S.I
[make S.I the subject of the formula]
S.I = 6500 - 5000
S.I = 1500
Simple Interest = (Principal × Rate × Time) / 100
S.I = (P × R × T) / 100
1500 = (5000 × R × 4) / 100
1500 = 20000R / 100
1500 = 200R
[divide both sides of the equation by 200]
1500 / 200 = 200R / 200
R = 1500 / 200
R = 7.5
The annual interest rate is 7.5%
175% of what number is 217?
Please help me with this question!
Renting a kayak costs $10 per hour. renting a canoe cost $5 per hour plus a $7 fee. Which equation could be used to determine h, the number of hours for which they each cost the same ?
please help. :Forty-five students go on a field trip. The students are divided into groups of 6 students. How many groups of 6 will there be?
find the perimeter of the shape below if x=3 and y=10
Answer:
the same time as a great day happy independence day
The total entrance fee for a group of 4 adults and 3 children to a water park is $220. The total fee for a group of 2 adults and 1
child is $98. Determine the entrance fee for an adult and the entrance fee for a child.
a. Select the system of equationslokat model the situation. Solve by using substitution.
Answer:
A.
Step-by-step explanation:
The entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.
What is a system of equations ?
A system of equations is a set or collection of equations that you deal with all together at once.
It is given that :
The total entrance fee for a group of 4 adults and 3 children = $220
and
The total entrance fee for a group of 2 adults and 1 child = $98
Let's assume that the entrance fee for an adult is x and entrance fee for a child is y.
So , the equations can be written as :
4x + 3y = $ 220 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 1
2x + y = $ 98 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 2
Now , multiply equation 2 by 2 :
4x + 2y = $ 196 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 3
Subtracting equation 3 from equation 1 , we get :
(4x - 4x) + (3y - 2y) = $220 - $ 196
y = $24
or entrance fee of a child is $24.
Now , substituting the value of y in equation 1 , we get :
4x + 72 = $220
4x = 148
x = $37
or entrance fee of an adult is $37.
Therefore , the entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.
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Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2
14 divided by 7,574 I need the answer to be simplified, please
Answer:
0.0243902439
Step-by-step explanation:
(a) Rowena buys and sells clothes.
(1) She buys a jacket for $40 and sells it for $45.40.
Calculate the percentage profit
someone hurry i need to know this question
Answer:
- 9/35
Step-by-step explanation:
Does the graph represent a function? Why or why not?
Answer:
This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.
Step-by-step explanation:
Hope this helps!
Please help me solve this please
Can someone help me do this i need helpppp
A bag contains 2 red, 4 yellow and 6 blue balls. the probability of drawing a blue ball from the bag at random is
Answer:
1/2
Step-by-step explanation:
because add 2 4 6 it gives 12
blue is 6 divide 6 by 12 it gives 1/2
Please help I don't understand this!
Answer:
5
Step-by-step explanation:
you have to look at the temperature in the picture and look at how it slopes down and predict.
Which type of flower received a prime number of votes. Used the graph
Answer:
Where is the graph to use
Axel and Carl both volunteer at a science museum. The manager needs one helper at a time for at most 18 hours this month. Axel wants to work at least 6 hours. The manager wants Carl to work no more than twice as many hours as Axel. Let a represent the number of hours that Axel works. Let c represent the number of hours Carl works. Which system of inequalities represents the constraints of this problem situation?
We want to find a system of inequalities that models the given situation.
We will find the system:
a + c ≤ 18
a ≥ 6
c ≤ 2*a
First we define the variables:
c = number of hours that Carl works.a = number of hours that Axel worksThe given information is:
The manager needs one helper at a time for at most 18 hours.
From this we can write:
a + c ≤ 18
Axel wants to work at least 6 hours.
a ≥ 6
The manager wants carl to work no more than twice as many hours as Axel.
c ≤ 2*a
The system is then:
a + c ≤ 18
a ≥ 6
c ≤ 2*a
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The owner of an organic food store would like to analyze the sales data to determine if the business is growing, declining or remaining flat. The owner has the following data: Sales Revenue Last Year = $350,000 // Sales Revenue Current Year = $402,000. What is the sales growth? Question 3 options: 10% 17% 13% 15%
The percentage sales growth recorded by the food store is 15%
Given the Parameters :
Last year revenue = $350,000Current year revenue = $402,000The growth sales can be obtained using the relation :
Change in revenue / Last year revenue) × 100%Change in revenue = Current year - Last yearChange in revenue = $402,200 - $350,000 = $52,200Hence, percentage sales growth :
(52,200 / 350,000) × 100% = 14.914 %Therefore, the percentage sales growth is 15%.
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Answer: 15%
Step-by-step explanation:
Can abort help me with this math question the right answers
Answer:
pretty sure its D. 1.6 x 10^9
Quadratics by taking square roots (intro)
Answer:
Lesser: -6
Greater: 6
Step-by-step explanation:
h(x) = -5x^2 + 180
-5(x^2 - 36)
-5(x+6)(x-6)
x = -6, 6
a. Draw a scaled copy of Polygon A with scale factor 1/2. b. Draw a scaled copy of Polygon B with scale factor 2. c. Draw a scaled factor of Polygon C with scale factor 1/4.
need help with this problem
Answer:
4x+15
Step-by-step explanation:
2. Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take.The remainder of Frank's trip is _______ hours.
Answer:
1: 195 divide by 3=65m/h
2: 455divide by 65=7hours
The remainder of Frank's trip is __7_____ hours.
