If 5 bats and 4 balls weigh 58 kg, and 4 bats and 5 balls weigh 50 kg, then how much does a bat weigh?

Answers

Answer 1

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

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults


Related Questions

​Find the interest on the loan if you borrowed \$ 5000$5000 at 5 \%5% interest for 11 year

Answers

Answer:

1,511$

Step-by-step explanation:

Mary has a dance class every 2nd day and painting class every 3rd day. On which of the day will she have both the classes?

Answers

9514 1404 393

Answer:

  every 6th day

Step-by-step explanation:

Mary will have a painting class on the same day as every 3rd dance class. That's the same day as every 2nd painting class. Mary has the two classes together on every 6th day.

  [tex]\texttt{- 1 2 3 4 5 6 1 2 3 4 5 6}\\\texttt{d - d - d - d - d - d - d}\\\texttt{p - - p - - p - - p - - p}[/tex]

A. Find the indicated number of geometric mean/s between the given two numbers.
1. 5 and 20 [ 1 term ]
2. 8 and 512 [2 terms]
3. 2 and 50 [ 1 term ]
4. 6 and 486 [3 terms]
5. 4 and 108 [2 terms]

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The ratio of the given terms is the common ratio raised to a power equal to the number of means plus 1.

1)

For example, the common ratio in the sequence 5, __, 20 will be r, where ...

  r^2 = 20/5 = 4   ⇒   r = 4^(1/2) = 2

Then the mean is found by multiplying 5 by this ratio: 5×2 = 10.

__

2-5)

The same method is used for finding the common ratio and then the intermediate means. Each mean is the previous term multiplied by the common ratio. Results are summarized in the attached table.

_____

Additional comment

When there are a number of similar calculations to be done, it is convenient to let a spreadsheet do them.

The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.

Answers

Answer:

[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]

Gía trị của biểu thức A = ( 2x - 5)x(2x +5) - 4 x (x+2)x(x-2) + (10x + 7)

Answers

Answer:

language

Step-by-step explanation:

help meeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

I think the answer is 1.392‍♀️

Decide if the following statement is true or false. A simple random sample of twelve 2+ bedroom houses in Rockingham County has a mean monthly lease of $695 with a standard deviation of $135. The true rental cost will be from $560 to $830

Answers

Answer:

Step-by-step explanation:

783

The given statement is "False" because the statement's range is based on the mean and standard deviation of a simple random sample of houses, not the whole population of Rockingham County's houses..

What is a simple random sample?

A simple random sample is a subset of a population chosen in a way that gives each member of the population an equal chance of being selected. The mean and standard deviation of a simple random sample provides information about the population from which the sample was drawn, but they do not provide a range in which the true value of a population parameter is guaranteed to fall.

In this case, the statement provides a range for the true rental cost of 2+ bedroom houses in Rockingham County, but there is no guarantee that the true rental cost will fall within this range. The range provided in the statement is based on the mean and standard deviation of a simple random sample of houses, not the entire population of houses in Rockingham County.

Hence, the given statement is False.

Learn more about the standard deviation here:

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Plz I need help will rate 5 stars

Answers

Answer:

The answer is :

8

.......

Please help me 1. Find the missing angle.

29

105

2. What is the measure of Angle 1?

55

78

3. What is the measure of Angle 2?

55

Answers

Answer:

m<2=97

Step-by-step explanation:

Find the measure of the angle and give the reason for knowing it. 1. m∠1 = 83 reason_Corresponding Angles. 2. m∠2 = 97 reason Supplementary.

anwererrrrrrrrrrrr plzzzzzzzzzzzz

Answers

Answer:

x=24°

Step-by-step explanation:

(3x-6)°+x°= 90°

4x=90+6

4x= 96°

x= 24°

Answer:

Step-by-step explanation:

(3x-6)°+x°=90°

First, combine like terms:

3x°+x°-6°=90°

4x°-6°=90°

Add 6° to both sides:

4x°=96°

Divide 4 from both sides to isolate x:

x=24°

Check your answer:

3(24)-6+(24)=90°

72-6+24=90°

66+24=90°

90°=90° (correct)

Find the equation of the line passing through the points (-3,8) and (3,-4). Write the
equation in slope-intercept form.

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

(-4-8)/(3-(-3)) = -12/6 = -2

-4 = -2(3) + b

-4 = -6 + b

b = 2

hello, please help me

Answers

The answer would beX=-2-2

Help help help please

Answers

Answer:

hey there,

<5=130°

because of transversal line

cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng
A.6
B.12
C.36
D.4

Answers

Answer:

D. 4

Step-by-step explanation:

 [tex]V =\frac{1}{3}Bh=\frac{1}{3}.3.4=4[/tex]

confused on what to do for this question?

Answers

orthodox iridium procuring

can someone help me understand this

Answers

Answer:

6 favors each guest

Step-by-step explanation:

3 bag if 12 means total 36

She has divided evenly amongst 6 guest .

36/6 = 6each guest.

Answer:

The answer would be 6.

Step-by-step explanation:

Assuming, Amy doesn't have a sweet tooth, she's only giving party favors to her own guests.

There are 3 bags of 12 party favors each. This gives us a total of 36 party favors.

There are 6 guests and so to evenly split the party favors, we must split 36 into 6 groups, giving us 6 party favors in each group.

COMPUTATION:

3 x 12 = 36

36 / 6 = 6

Hope this helps!

simplfy the expression [tex]\sqrt110x^{17} y^{12}[/tex]

Answers

I'm going to assume the square root goes over everything.  

To simplify this, you need to find perfect squares under the radical that are factors of the entire [tex]110x^{17}y^{12}[/tex].

[tex]\sqrt{110x^{17}y^{12}} = \sqrt{x^{16}y^{12}\cdot 110x^{1}}[/tex]

Now that stuff in the front will interact nicely with the square root, but the stuff in the back doesn't, so it just stays under the radical.

[tex]\sqrt{x^{16}y^{12}\cdot 110x^{1}} = \sqrt{x^{16}y^{12}}\cdot \sqrt{110x^{1}} =x^8y^6\cdot \sqrt{110x}[/tex]

And that end piece is the simplified answer.

Answer:

no

Step-by-step explanation:

sorry bru but i dont understand [tex]\sqrt110x^{17} y^{12}[/tex]

How many zeros are there for the square of 200? 2,3,4,6

Answers

Answer:

C. 4

Step-by-step explanation:

200² = (2*100)² = 4*10000, as we see there are 4 zeros

Correct choice is C

Answer:

4

Step-by-step explanation:

200²200×20040000

Hence, there are 4 zeros for the square of 200.

Please help me solve this problem ASAP

Answers

Answer:

x=1.6

Step-by-step explanation:

x = 1.6

explanation: causeee lol

PLEASE HELP ME!! I DON'T KNOW WHAT TO DO????

Answers

Answer:

Step-by-step explanation:

x-10=4

bring the 10 over  and add it to the 4 and that equals 14 so

x=14  hope this helps have a great day

It’s a -10 so you have to put a 10 in both sides, cancel the -10 | x = 14

Fill in the blanks in order to justify whether or not the mapping shown represents a function

Answers

What are the dropdown choices?

The mapping diagram above does not represent a function since there are 2 input values, 7 and 0 that maps to the same output value at 2.

A hot-air balloon descended 0.8 meters per second for 10 seconds. It
then climbed at 0.4 meters per second for 5 seconds.
What was the average rate of change in altitude per second?

Answers

Answer:

Step-by-step explanation:

we will use 0,8 in 10 seconds as thats the easiest.

for 10 to become 1 we move the decimel once to the right, 10/10

same will happen to 0.8,

10/10=1

0.8/10=0.08

The hot air-ballon climbs 0,08 meters per second

Item 4 Multiply. [−12 ⋅ 4/7]⋅[−14⋅(−0.1)] What is the product? Enter your answer in the box.

Answers

Answer:

-9.6

Step-by-step explanation:

The product of the given expression [−12 ⋅ 4/7]⋅[−14⋅(−0.1)] is approximately -9.6.

We have,

Let's break down the expression step by step:

[−12 ⋅ 4/7]⋅[−14⋅(−0.1)]

First, let's simplify the expressions inside each set of brackets:

-12 ⋅ 4/7 = -48/7

-14 ⋅ (-0.1) = 1.4

Now, substitute these values back into the original expression:

[-48/7]⋅[1.4]

Now, multiply the two fractions:

(-48/7) * 1.4 = -67.2 / 7

This can be simplified further by dividing both the numerator and the denominator by their greatest common divisor, which is 1:

-67.2 / 7 ≈ -9.6

Thus,

The product of the given expression is approximately -9.6.

Learn more about expressions here:

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For brainily please help

Answers

i think z is 54 bc all the triangles angles should add up to 180 so you subtract 72 from 180 and since the lengths of the triangle are the same for the two sides the angles should be the same too so divide whatever you got from 180-72 which is 108 and divide it by two which is 54 hope it helped z=54

In a hostel, 45 student consume 660 kg per month, How much rice with a consume by 60 student in 1 month.​

Answers

Answer is 880 kg

pls find the attached image

State if the three numbers can be the measures of the sides of a triangle
8, 9, 14
A) No
B) Yes

Answers

Answer:

No

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Given j∥k and m∠1=40°. What is m∠6 ? Enter your answer in the box.

Answers

Answer:

140

Step-by-step explanation:

20 is 4/7 of what number?

Answers

Answer:

35

Step-by-step explanation:

Increase the following amount by the percentage given

55 by 137%

Answers

Answer:

130.35

Step-by-step explanation:

https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=55&percentage_increase=137&new_value=130.35

Solve each equation
1.0=x^2-7x-18

2. x^2 + 10x = 39

3. 0= x^2-10x+12


4. 2x^2+4x =0

5. 3x^2 -22 +7=0

show work​

Answers

Step-by-step explanation:

1.

[tex]0 = {x}^{2} - 7x - 18 \\ 0 = {x}^{2} + 2x - 9x - 18 \\ 0 = x(x + 2) - 9(x + 2) \\ 0 = (x + 2)(x - 9) \\ \\ \\ (x + 2) = 0 \: \: \: \: or \: \: \: \: (x - 9) = 0 \\ \\if \: \:x + 2 = 0 \\x = 0 - 2 \\ x = (- 2) \\ \\ if \: \:x - 9 = 0 \\ x = 0 + 9 \\ x = 9 \\ [/tex]

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