Parks department ordered a total of 100 bats and balls. The bats are $20 and balls are $4.50 each. The total invoice was $822.00 . How many of each item were ordered?

Answers

Answer 1

Answer:

Number of bats ordered = 24

Number of balls ordered = 76

Step-by-step explanation:

Let,

x be the number of bats ordered

y be the number of balls ordered

According to given statement;

x+y = 100       Eqn 1

20x+4.50y = 822     Eqn 2

Multiplying Eqn 1 by 20

20(x+y=100)

20x+20y=2000     Eqn 3

Subtracting Eqn 2 from Eqn 3

(20x+20y)-(20x+4.50y)=2000-822

20x+20y-20x-4.50y=1178

15.50y = 1178

Dividing both sides by 15.50

[tex]\frac{15.50y}{15.50}=\frac{1178}{15.50}\\y=76[/tex]

Putting y=76 in Eqn 1

x+76 = 100

x= 100-76

x = 24

Hence,

Number of bats ordered = 24

Number of balls ordered = 76


Related Questions

HELP ME



The graph of quadratic function f is shwon on the grid



which of these best represents the domian of f?​

Answers

Answer:

[-5,5; +∞)

Step-by-step explanation:

according to the given grid the vertex of the parabola is (-0,5; -5,5).

The domain of f is: [-5,5; +∞)

Can anyone answer this I need it asap!!
Martina wants to earn more than $80 selling ice cream cones from her ice cream truck. She already earned $24 selling ice cream cones. The price of each ice-cream cone is $2. If x represents the number of ice cream cones to be sold, which statement represent how many ice-cream cones Martina needs to sell to earn more than $80?
(Show some work lol)

Answers

Answer:

28 icecream cones

Step-by-step explanation:

80-24=56. 56÷2=28

(28×2=56)

Find the 15th term of the arithmetic sequence x+7,3x+2,5x-3

Answers

Answer:

15th term = 29x-63

Step-by-step explanation:

Marty has been late for work 6 out of the past 80 working days. What percent of the days has she been late.​

Answers

Divide days late by total days then multiply by 100:

6/80 = 0.075

0.075 x 100 = 7.5%

1.) Find out the distance covered when, speed is 960 km/hour and time is 1 hour 50 minutes.

2.) If distance travelled by a train is 495 km in 4 hours 30 minutes, what is its speed?

3.) A man runs at the speed of 10 km/hr. How much time will he take to cover 750 metres?

4.) Aaron ran 500 metre in 100 Seconds. Find the speed in km per hour.

5.) A cyclist travels at a speed of 20 km/hour. How far will he travels in 50 minutes?​

Answers

Answer:

A: 1070 m

Solution:

based on the formula :

960km/h= x (the distance) / 1h50m

Answer:

Step-by-step

The rate of change is 150 km per minute.

The rate of change is 2.5 km per second. explanation:


Cindy runs a company that designs and prints gift cards for a department store. Quality controls is very important,
and Cindy must determine that the cards are being printed properly. For every 6,000 batches of 100 cards that are
printed, she examines every 100th batch to make sure the logo is aligned and the magnetic strip works. Identify the
population and the sample.
population: 6,000 batches of 1000 cards c. population: 6,000 batches of 1000 cards
sample: every 10,000 cards
sample: every 100th batch
b. population: 6,000 batches of 100 cards d. population: 6,000 batches of 100 cards
sample: every 10,000 cards.
sample: every 100th look

Answers

The answer is C which is population 6,000 batches of 1,000 sample: every 100th batch

I hope this helps if you got it right go add me on tik toc at brianna47535

need help asap please! ​

Answers

Answer:

(f + g)(3) = 9

Step-by-step explanation:

f(x) = x² + 1

g(x) = x - 4

Thus:

(f + g)(x) = (x² + 1) + (x - 4)

(f + g)(x) = x² + 1 + x - 4

(f + g)(x) = x² + x - 3

Therefore, to find (f + g)(3), plug in the value of 3 into the equation:

(f + g)(3) = (3)² + 3 - 3

(f + g)(3) = 9 + 3 - 3

(f + g)(3) = 9

Thrice a number decreased by 5 exceeds twice the number by a unit find the number

With steps please ​

Answers

Make ‘x’ the number:

Thrice the number - 5 is greater than twice the number by 1

So to make them equal each other, subtract 1 from the thrice number - 5

Working attached below for further explanation:

Hope this helps! Any questions let me know :)
Hello! !!!


Here's Your Answer :


Let the number be x.


=>According to Question .

3x - 5 = 2x + 1
3x - 2x = 1 + 5
1x = 6
x = 6


So, the number is 6.


Find the some 2/3 +1/5=

Answers

Answer:

13/15

Step-by-step explanation:

Solve the equation x/3 -5- y for x.​

Answers

Answer:

Well first of all, that isn't an equation, I wil however interpret it as best as I can.

x = 25 + 5y

Step-by-step explanation:

x/5 - 5 - y for x, so, x/5 - 5 - y = 0.

Add 5 and y to both sides.x/5 = 5+ y, multiple both sides by 5.

x = 25 + 5y

find the area of the circle. use 3.14 for n.​

Answers

Answer:

ans 113.04

Step-by-step explanation:

we know that,

d=12

r=6

pie=3.14

A=Pie r^2

A=3.14*6^2

A=113.04

Answer: 113.04

Explanation: 3.14 x 6*2 =113.04

Which ordered pair is in the solution set of 3x - 2y>-1?
A) (-1, 1)
B) (-2, -2.5)
C) (2, 4)
D) (1, 2.5)

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

I think its B because I do. I'm too smart to explain

A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 1.

Answers

Answer:

[tex]Probability = 0.4167[/tex]

Step-by-step explanation:

Given

A toss of coin and a roll of 6-sides die

Required

P(Head and Number greater than 1)

First, we list the sample space of the coin:

[tex]Sample\ Space = \{Head, Tail\}[/tex]

From the sample space above:

[tex]P(Head) = \frac{1}{2}[/tex]

Next, we list the sample space of the die:

[tex]Sample\ Space = \{1,2,3,4,5,6\}[/tex]

There are 5 outcomes greater than 1; i.e. 2,3,4,5 and 6.

So:

[tex]P(Outcome> 1) = \frac{5}{6}[/tex]

Lastly, the required probability is calculated as:

[tex]Probability = P(Head) \ and \ P(Outcome>1)[/tex]

Change and to *

[tex]Probability = P(Head) \ * \ P(Outcome>1)[/tex]

Substitute values for P(Head) and P(Outcome > 1)

[tex]Probability = \frac{1}{2} * \frac{5}{6}[/tex]

[tex]Probability = \frac{5}{12}[/tex]

[tex]Probability = 0.4167[/tex]

Jazel time to check your progress. So far you have completed 816 miles which is 47% of the trail. Can you find about how many miles for the total trip?​

Answers

Answer:

1,736.17miles

Step-by-step explanation:

Let the total trip be x miles

If 47% of the total trip is 816, then;

47% of x  = 816

0.47x = 816

Divide both sides by 0.47

x = 816/0.47

x = 1,736.17miles

Hence the total miles for the trip is 1,736.17miles

the perimeter of an equilateral triangle is 6x-6.3. What is the side length

Answers

Answer:

(2x - 2.1)+(2x - 2.1)+(2x - 2.1)

Step-by-step explanation:

6x-6.3/3= 2x-2.1

Each side is 2x-2.1 long

Carl rain the 100 meter dash in 15.454 seconds. Jeremy ran it in 16.05
seconds. How much faster did Carl run than Jeremy?

Answers

Carl ran .596 second faster

Which is the best description for the graph below?
9
8
7
6
5
4
3
2
-1
BZ 8 9 X
ILL GIVE BRAINLIEST

Answers

Answer:

B is correct.

You got it right =D

Explanation:

B is correct because the graph never goes up after leaving zero, therefore it can never increase. This eliminates options A and D.

If the graph had remained constant, the graph would have been a straight line, therefore eliminating C

With A, C, and D being eliminated, B is the correct answer.

Hope this helps ^w^

Three siblings are participating in a family-friendly running event. - The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time. - The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race. - The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.

Answers

The siblings walking or running at a constant rate, illustrates a linear function.

The graph of the oldest sibling is Graph B The graph of the middle sibling is Graph CThe graph of the youngest sibling is Graph A

The complete question requires that, we match each graph to the sibling (see attachment)

Oldest sibling

[tex]Starts = 0[/tex] --- start line

[tex]Rate =7[/tex]

So, the equation is:

[tex]y = Starts + Rate \times x[/tex]

[tex]y = 0 + 7 \times x[/tex]

[tex]y = 7x[/tex]

When [tex]x = 1[/tex]

[tex]y = 7 \times 1 = 7[/tex]

This means that;

The graph of the oldest sibling passes through [tex](1,7)[/tex]

The graph of the oldest sibling is Graph B

Middle sibling

[tex]Starts = 0[/tex] --- start line

[tex]Rate = 3.5[/tex]

So, the equation is:

[tex]y = Starts + Rate \times x[/tex]

[tex]y = 0 + 3.5 \times x[/tex]

[tex]y =3.5x[/tex]

When [tex]x = 1[/tex]

[tex]y =3.5 \times 1[/tex]

This means that;

The graph of the middle sibling passes through [tex](1,3.5)[/tex]

The graph of the middle sibling is Graph C

So, we can conclude that:

The graph of the youngest sibling is Graph A

Read more about graphs at:

https://brainly.com/question/18806107

Geometry Question if someone can help please!

Answers

Answer:

Angle D=162 P=74cm A=340sqcm

Please help ASAP it’s due tomorrow

Answers

So your answer is band c this is because when you substitute -10 and -11 for m you get both these answers -20, and -22 then add 18 to both of them you get -2 and -4

Based on the array, which statements accurately
compare 15 and 5? Check all that apply.
O Fifteen is twice the amount 5.
O Fifteen is triple the amount 5.
O 15+ 3 = 5
15 x 3 = 5
5 X 3 = 15

Answers

The answer is “Fifteen is triple the amount of 5” and “5x3=15”.

Find the cosθ if an angle is in standard position and the point with coordinates (7,24) lies on the terminal side of an angle.

Answers

Answer:

0.28

Step-by-step explanation:

Angles in standard position are angles with the initial side on the positive x-axis.

Since (7,24) lies on the terminal side of an angle, hence the line passing through the origin and point (7, 24) forms an angle with the x axis.

The slope of the line passing through the origin (0, 0) and the point (7, 24) is given by:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{24-0}{7-0}\\\\m=\frac{24}{7 }[/tex]

The angle θ between a straight line and the x axis is:

tanθ = m

where m is the slope of the line.

Let θ be the angle between the line with a slope of 24/7 and the x axis, therefore:

tanθ = 24 / 7

θ = tan⁻¹(24/7)

θ = 73.74°

cosθ = cos(73.74°) = 0.28

Complete this calculation: 350g + _______ = 1 kg *
5 points
550g
650g
750g
450g
I will add you to a branlist

Answers

[tex] \text {Hello,Hope you are fine!}[/tex]

Let the required mass be x.

‎ ‎ ‎ ‎ ‎ ‎

As we know that 1kg is equal to 1000g.

So equation can be made as following:-

‎ ‎ ‎ ‎ ‎ ‎

350g+x=1000g

‎ ‎ ‎ ‎ ‎ ‎

➛ x=1000g-350g

‎ ‎ ‎ ‎ ‎ ‎

➛ x=650g

‎ ‎ ‎ ‎ ‎ ‎

Hence your answer is 650g.

‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎

[tex] \text{Keep learning,Good luck!}[/tex]

Module 1 MMA Review Activity 1. Mrs. Labuski is buying Halloween Candy for the trick or treaters. She likes to buy a mix fruit flavored candy. Since chocolate is more popular, for every three bags of fruit flavored candy, she buys 5 bags of chocolate candy, If Mrs. Labuski buys 6 more bags of chocolate than fruit flavored candy, how many bags of each did she buy? Use a tape diagram to justify your answer. she bought TRICK OP TRCATI f test. Andrew and Matt decide to​

Answers

It will 17 the answer for every three bags she buy five bags and then she buy six more

so the answer is 20 how do I type it in

Answers

the answer is 20



goodluck


have a good day... :)

Which of the following illustrates the truth value of the given conditional statement?
p. 10<7
q. 10 <5
~p -> ~q

Answers

Answer:

~p -> ~q

Step-by-step explanation:

A conditional statement in logic may be symbolized by the alphabets, p and q, It always contains an if - then statement.

There is always a  logical connector in the statement with the symbol ->.

A conditional statement is false if the hypothesis is true and the conclusion is false.

The statement in the answer above reads in word; "if not p then not q".

Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185 per week plus 25 cents per mile driven. Rental Giant charges a flat fee of $275 per week. What is the number of miles driven so that renting from Gentle Rental cost Carlos less than renting from Rental Giant?


A. Less than or equal to 360 miles

B. Less than 360 miles

C. Less than or equal to 115 miles

D. Less than 1,840

Answers

Answer:

B. Less than 360 miles

Step-by-step explanation:

Let the number of miles driven be [tex]x[/tex]

The cost of renting from Gentle Rental per week is

[tex]185+0.25x[/tex]

The cost of renting from Rental Giant per week is [tex]275[/tex].

Now we have to find after how many miles the cost of renting from Gentle Rental cost Carlos less than renting from Rental Giant

[tex]185+0.25x<275\\\Rightarrow 0.25x<275-180\\\Rightarrow x<\dfrac{90}{0.25}\\\Rightarrow x<360[/tex]

So, the answer is less than 360 miles.

what is an expression that is equivalent to 15-5x

Answers

Answer:

5(3-x)

Step-by-step explanation:

Step-by-step explanation:

This could be random. There are endless possibilities. For example

15 * 2 - 5x * 2

= 30 - 10x

etc.

So as long as you know the pattern, you can make many more of them

FABRIC Jordan wants to measure a length of fabric, but the only tape measure she has is damaged. The first number on her tape measure is 8 inches. If Jordan places the number 8 at one end of the fabric and finds that the
other end of the fabric is at 24, how long is the fabric?

How many inches long is the fabric?

Answers

Answer:

16

Step-by-step explanation:

24-8 = 16

hope this helps....

What is one property ALL quadrilaterals have ?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because in quadrilaterals quad means 4

and a  quadrilaterals has four sides

that is the reason why thee answer is b

have a wonderful day

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