A problem states: " there are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are in the dugout?" Let b represent the number of bats. Which expression represents the situation?
Answer:
The required equation is 2b+3=15.
Number of bats = 6
Number of baseballs = 9
Step-by-step explanation:
Let b be the number of bats.
It is given that there are 3 more baseballs than bats in a dugout.
Number of baseballs = b + 3
Number of bats and baseballs in the dugout in all is
[tex]Total=b+(b+3)[/tex]
[tex]Total=(b+b)+3[/tex]
[tex]Total=2b+3[/tex]
There are 15 bats and baseballs in the dugout in all.
[tex]2b+3=15[/tex]
The required equation is 2b+3=15.
Subtract 3 from both sides.
[tex]2b=15-3[/tex]
[tex]2b=12[/tex]
Divide both sides by 2.
[tex]b=6[/tex]
The value of b is 6. So, the number of bats is 6 and number of baseballs is 6+3=9.
Type the number 3.14×103 in standard notation.
Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a sheet of paper after nn folds. f(n)=f(n)=
Distributive property 3(-7-8n)
Answer:
- 21 - 24 n.
Step-by-step explanation:
Given : 3(-7-8n)
To find : Solve by Distributive property .
Solution : We have given 3(-7-8n).
Distribute 3 over -7 and - 8n .
3 * - 7+ 3 * -8n .
- 21 + ( -24 n).
- 21 - 24 n.
Therefore, - 21 - 24 n.
Need some help! Graph the equations y=3x-5 and x+3y=6 on the same xy-plane. What is significant about these two lines? (Explain your answer)
Thanks!
Andrea wants to deposit money into a bank account that earns 4.5% simple interest. Use the formula l=Prt to find the ammount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.
Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to paint a room that has 720 square feet of wall space?
The time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of required no. of units.
It is given that room is painted that has wall space of 400 feet². The time taken to paint this space is 2 and half hours.
So , the wall space painted per hour will be :
= 400 ÷ [tex]2\frac{1}{2}[/tex]
= 400 ÷ [tex]\frac{5}{2}[/tex]
= 400 × [tex]\frac{2}{5}[/tex]
= 160 square feet per hour
We have to find out the time taken to paint a room which has a wall space of 720 feet². So , this will be calculated by dividing 720 square feet wall space by the per hour painted wall space that is equal to:
= 720 / 160
= 4.5 hours
or
= [tex]4\frac{1}{2}[/tex] hours
Therefore , the time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.
Learn more about unitary methods here :
brainly.com/question/18575566
#SPJ2
If NO = 17 and NP = 5x -6, find the value of X. Then find NP and NO.
James ran at a rate of 11.5 km per hour. What was james' speed in miles per hour? (NOT TO BE SOLVED. Needs to be an equation)
1km = 0.621371 miles
so equation is
total miles per hour = 11.5km * 0.621371
1. After a 12% increase the cost of a new cooker is £190.40
Work out the original price of the cooker.
[3 marks]
Answer £
2. A running club has 270 members.
There are 25% more men than women in the running club.
2. (a) How many men are in the running club?
[2 marks]
Answer
2. (b) 40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
[2 marks]
Answer %
The required cost of the cooker after a 12% increase in the cost is given as £213.248.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1.
Let the cost of the cooker be x,
According to the question,
x = 1.12 × 190.40
x = £213.248
Thus, the required cost of the cooker after a 12% increase in the cost is given as £213.248.
Learn more about Percentage here:
https://brainly.com/question/1369388
#SPJ2
What is the largest decimal value that can be represented by a 16 bit number?
Jessica earns 3% commission selling computers she sold 37500 worth of computers last month how much commission did Jessica earn last month
What is the scientific notation for 12,400,000?
how many hours of training would you need to have a monthly pay of $2620
2620 /4 = 655 per week
suppose you work 40 hours per week
655/40 = $16.38 per hour
that is a good pay, but training all depends on the actual job.
some jobs don't require any training, some require 3 months or more.
it also depends on your education
Suppose point e has a coordinate of 11, and eg= 8. what are the possible coordinates of point g?
So I will be assuming that EG = 8 is the length of the line segment EG. If that's the case, therefore the coordinates of G would simple be:
G =11 ± 8
G = 11 – 8, 11 + 8
G = 3, 19
So G can have a coordinate of 3 or 19.
What is 4 7/8 as a improper fraction
(-4,7),(6,-1) what is the answer
True or False
The sum of two trinomials is ALWAYS a trinomial
Answer:
True.
Step-by-step explanation:
If the two trinomials are given as
x³ + 2x² + 4 = 0
and
2x³ + x² - 3 = 0
Then by adding these trinomials we get
(x³ + 2x² + 4) + (2x³ + x² - 3) = 0
3x³ + 3x² + 1 = 0
Which proves that sum of two trinomials is ALWAYS a trinomial.
So the answer is True.
What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?
Answer:
c
Step-by-step explanation:
ABACABACABACABACABAC
The pattern A, B, A, C repeats every four terms. Dividing the term number (20) by the length of the repeating sequence (4) yields 5 with no remainder, indicating the twentieth term will be the same as the fourth term - which is 'C'.
Explanation:The given pattern A, B, A, C, A, B, A, C is a repeating sequence that occurs in sets of four (A, B, A, C). To ascertain the twentieth term in this pattern, divide the term number by the length of the repeating sequence. That would be 20 divided by 4, which equals 5 with no remainder. That suggests the twentieth term will be the same as the fourth term in the sequence, which is C.
Learn more about sequence here:https://brainly.com/question/36944481
#SPJ3
Red, green, and blue light rays each enter a drop of water from the same direction. Which light ray's path through the drop will bend the most, and which will bend the least? Why?
Joan works on commission
If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why? (Site 1)
Buying an asset or a vehicle means paying off the entire sum of money that is the cost of the asset at the time of its purchase.
Leasing an asset means purchasing an asset by not paying the entire sum of money at the time of purchasing, rather paying in the form of rent over the period of time.
If a person wants to purchase his dream car for keeping for many years, then Buying Option is better because the payment of the overall cost in buying will be less than leasing.
This will also provide benefit that at the time of sale the owner will be paid off higher value of car as compared to car taken on lease.
For more information about leasing and buying, please refer to the link:
https://brainly.com/question/19843028
If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Buying a car provides long-term ownership, customization options, and potential resale value, while leasing offers lower monthly payments but no ownership.
Explanation:If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Here are the reasons why:
Ownership: When you buy a car, you become the owner and have the freedom to modify or personalize the vehicle as you wish. Leasing, on the other hand, only provides temporary possession of the car.Long-term cost: Buying a car may have higher upfront costs, such as a down payment and monthly loan payments, but in the long run, you will own the vehicle. Leasing involves lower monthly payments, but you will not own the car at the end of the lease term.Resale value: Owning a car allows you to build equity over time. You can sell the car later and recoup some of the cost. Leasing does not provide this opportunity.In conclusion, buying a car is a better option if you want long-term ownership and the ability to customize the vehicle. Leasing may be suitable for those who prefer lower monthly payments and don't want to commit to long-term ownership.
Find an equation of the set of all points equidistant from the points a(−1, 6, 3) and b(4, 3, −2).
Next school year, 2 out of every 7 students plan te take an elective computer course. if there are 2464 students at the high school, how many computer students should the school plan for?
Rick is setting up a model train track that is 5 and 3 over 5feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 4 over 5foot apart. How many telephone poles does he need? (Input number values only)
Answer:
1/2
Step-by-step explanation: man i needa level up... its not right i just need points lol
The perimeter of a rectangular garden is 290 feet. If the length of the garden is 84 feet, what is its width?
What is the area of the triangle in the diagram?
Answer:
Option A is the answer.
Step-by-step explanation:
The area of the triangle is given as :
[tex]A=\frac{1}{2}\times base\times height[/tex]
Base will be given by :
[tex]\sqrt{(x1-0)^{2}+(y1-0)^{2}}[/tex]
= [tex]\sqrt{x1^{2}+y1^{2}}[/tex]
Similarly the height will be given by:
[tex]\sqrt{(x2-0)^{2}+(y2-0)^{2}}[/tex]
= [tex]\sqrt{x2^{2}+y2^{2}}[/tex]
Now, putting these dimensions in the formula we get:
[tex]\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}[/tex]
Therefore, option A is the answer.
explain how ray ab an ac form both a line and an angle
Answer:
Rays AB and AC both have a point in common. That is the A point or normally called the vertex. From the point both go in different directions making a distance between both. This distance has a degree in which it separated that forms the angle. This also forms a line because both rays, in theory, are lines. They just tend to continue to infinity in just one direction.
Step-by-step explanation:
The bakers healthy bakery can make 160 bagels in 5 hours. a.how many can they make in 1 hour? B.How many can they make in 12 hours?
If angleA and angleB are vertical angles, and angleA = 38°, find the measure of angleB. A. B = 7° B. B = 57° C. B = 38° D. B = 142°
Answer:
C. B = 38°
Step-by-step explanation:
A vertical angle is created when two lines intersect, and are a pair of two non adjacent angles that are opposite from the origin, so both angles are going to measure the same.
Since both vertical angles are the same, both measure 38º.
Vertical angles are shown in the image:In this case the angle A would be the omega, and the B is the alfa.