A town's total allocation for firefighters’ wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation
Answer:
10
Step-by-step explanation:
budget (b) = 600,000
cost per firefighter (c) = 40,000+20,000 = 60,000
total amount of firefighters (t) = b/c
t = 600,000/60,000 = 10
______________________________
N = NumberB = BudgetBPP = Budget Per PersonN = B ÷ BPP= $600,000 ÷ $60,000= 10 Firefighters______________________________
Which equation has no solution?
A. 9.r +9 = 11.1 - 2 + 9
B. 7x + 30 = 3 + 6(+ 5)
C. -52 +9= 22 + 9 - 7
D. 7. – 6 = 1 + 6 (x + 5)
what are the subsets of the real number system that 0 belongs
Answer:
Whole numbers, integers, rational numbers, and real numbers
Answer:
A natural number is a rational number. An irrational number is a real number. Zero is a natural number.
Step-by-step explanation:
⇵∝
is this correct(thank you and five store)
Answer:
Step-by-step explanation:
8 ≤ x < -1.
3 is what precent of 40
Answer:
7.5
Step-by-step explanation:
4.1271 to the nearest cent?!
Answer:
4.1271
Step-by-step explanation:
Look at the number to the right of the full cents, if the number is five or more, increase the cents by 1. If the number is four or less, keep the cents the same. For example: Round $143.864. Look at the last digit, that is 4, since 4 is less than 5 so keep cents the same.
4.1271
last number is 1 so the cents stays the same
HELP ASAP ASAP I ONLY HAVE A FEW MINUTES LEFT!!!
Manuel found a wrecked car that he could fix. He bought the car for 60% of the original price of $7200. What did he pay for the car? (Round to nearest dollar)
Answer:
4,320
Step-by-step explanation:
60/100=x/7,200
60×7200/100=x
432000/100=x
4320=x
Stephine puts 30 cubs in a box. The cubes are 1/2 inch on each side. The box holds 2 layers with 15 cubes in each layer.
Answer:
3 3/4 cubic inches,
Step-by-step explanation:
Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cubes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches.
✓From the question we are informed that Stephanie puts 30 cubes in a box. The cubes dimension are 0.5 inch on each of the sides.
✓ Since the sides is 0.5inch each, the volume is (0.5×0.5×0.5) The volume of one cube = (0.5 inch)³ = 0.125 inch³
✓ we can calculate the Volume of 30 cubes as
[ 30 cubes in a box × 0.125 inch³]
= 3.75 inch³
✓ 3.75 inch³ can be converted into fraction as (3 3/4) inch³ which is the third Option.
Two light houses flash their lights every 20 and 30 seconds respectively. Given that they flash together at 8:00 PM. At what time will they next flash together?
Answer:
They will flash together at;
8:01 PM
Step-by-step explanation:
Here, we want to
calculate the time at which they would both flash together
What we have to do here is to calculate the lowest common multiple of 20
and 30 seconds
Mathematically, we have this as;
60 seconds
60 seconds is the same as 1 minute
So the time they will flash together is 8:01 PM
In the figure below, m || k. Find the values of x and z.
850
|(52 - 75)°
Z =
Answer:
z=33 x=90
Step-by-step explanation:
33 X 5 = 165 - 75 = 90 degress and x is a right angle so x is 90 degrees
(A journey by bus takes 45 minutes at 60 km per hour. How fast must a car go to do the same
journey in 25 minutes? plzz answerr!!! this is my third time asking this question:(
Answer:
The car must go at 108 km per hour
Step-by-step explanation:
Let us solve the question
∵ A journey by bus takes 45 minutes at 60 km per hour
∴ The speed of the bus = 60 km per hour
∴ The time of the journey = 45 minutes
→ Change the time from minutes to hours
∵ 1 hour = 60 minutes
∴ 45 minutes = 45 ÷ 60 = 0.75 hour
∴ The time of the journey = 0.75 hour
∵ Distance = Speed × Time
→ Substitute the speed by 60 and the time by 0.75
∵ The distance that the bus traveled = 60 × 0.75
∴ The distance that the bus traveled = 45 km
∵ A car goes to do the same journey in 25 minutes
∴ The distance that the car travels = 45 km
∴ The time that the car takes = 25 minutes
→ Divide it by 60 to change it to hours
∵ 25 minutes = 25 ÷ 60 = [tex]\frac{5}{12}[/tex] hour
∴ The time that the car takes = [tex]\frac{5}{12}[/tex] hour
→ Use the rule of the distance above to find the speed of the car
∵ 45 = the car's speed × [tex]\frac{5}{12}[/tex]
→ Divide both sides by [tex]\frac{5}{12}[/tex]
∴ 108 = the car's speed
∴ The car's speed = 108 km per hour
∴ The car must go at 108 km per hour
A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens.
P(NOT red or blue)
Answer:
what's the question? I dont see where your coming from.
I need help so help meh
Answer:
the value of term under the variable n is n-5
Step-by-step explanation:
The positive and value of term difference is 5 every time.
What number 15 I’ll mark brainliest !
Answer:
-7
Step-by-step explanation:
92+102 >180
so has to be negative
-11 is too much so its -7
Explain how to write an equation when given a description of a mathematical problem or real-world scenario.
Answer: In general, look for key words like "is" and "are," or "be." These become the equal sign in the equation.
Other key words to help decide which operation to use:
"And," "plus," and "the total of. . ." are clues for addition.
"Difference" or anything that means distance or amount between two given values is a signal for subtraction.
When Linear dimensions are given and Area is to be found, it will be a multiplication equation. The words "times" and "by" usually mean multiply.
Fractions are often multiplied by some other number.
Ratios are usually division problems.
When a total amount is distributed among some number of people, or you need to find out how many people will get a given share or portion, it is a division equation.
Step-by-step explanation:
It's much easier to explain with specific examples. Here is one.
We set up 15 rows of 6 seats in each row. How many seats are there altogether?
Of is the clue for multiplication Are becomes the equal sign.
15 × 6 = ? how many altogether?
90 = the number of seats.
Answer:
Sample Response: First, the variable needs to be determined. Then identify key words and translate the description. If possible, create a model, such as a diagram or table. Then write the equation using the variable.
Samantha wants to hang 3 paintings in her room. The widths of the paintings are 10+*inches, 3+*feet, and 2 feet, 2),inches. If she hangs them next to each other with 3 inches between them, what is the total width of the wall space she will need?
Answer:
78 inches
Step-by-step explanation:
From the above question, our final answer is in inches, hence:
1 foot = 12 inches
The widths of the paintings are 10+*inches, 3+*feet, and 2 feet, 2),inches.
For painting 2
Converting 3 feet to inches
1 foot = 12 inches
3 feet = x
Cross Multiply
x = 3 × 12 inches = 36 inches
For painting 3
2 feet, 2,inches.
Converting 2 feet to inches
1 foot = 12 inches
2 feet = x
Cross Multiply
x = 2 × 12 inches = 24 inches
Adding up = 24 inches + 2 inches = 26 inches
If she hangs them next to each other with 3 inches between them, what is the total width of the wall space she will need?
This is calculated as:
10 inches + 3 inches + 36 inches + 3 inches + 26 inches
= 78 inches
Therefore, the total width of space she will need = 78 inches
An amusement park charges $120 for a one-week pass. If the pass is put on sale at a 25% discount, what is the amount of the sale price of the pass?
Answer:
100 - 25 = 75
120/100 X 75 = 90
sale price is $90
Solve this plsss!I give brainky show work
Answer: 7/8
Step-by-step explanation: 1/2 can be written as 4/8. 4/8+3/8=7/8
Westfalls is 7 miles south of edenville and Concord is 13 mile west of westfalls. What is the distance from edenville to Concord? Round to the nearest tenth of a mile ?
Answer:
[tex]D_x\approx14.8mile[/tex]
Step-by-step explanation:
From the question we are told that
Distance between Edenville and Westfalls [tex]D_1=7[/tex]
Distance between Westfalls and Concord [tex]D_2=13[/tex]
Generally the equation for Pythagoras is mathematically given by
[tex]D_x^2=D_1^2+D_2^2[/tex]
[tex]D_x^2=7^2+13^2[/tex]
[tex]D_x=\sqrt{ 7^2+13^2}[/tex]
[tex]D_x=14.76482306mile[/tex]
The distance b/w Edenville to Concord is
[tex]D_x\approx14.8mile[/tex]
PLEASE HELP!! ILL MARK BRAINLIEST THANKS!!
Answer:
2985984
Hope this helps
The value of 8 units is 11. What is the value of 1 unit
Answer:
1.375
Step-by-step explanation:
11 divided by 8 = 1.375
A proportion is an equation in which two ratios are set equal to each other. Then the value of 1 unit is 1.375.
What is a ratio?
A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0.
The value of 8 units is 11.
Then the value of 1 unit will be
The value of 8 units is 11.
Then the value of the 1 unit will be 11/8.
That can be solved as
[tex]\dfrac{11}{8} = 1.375[/tex]
Thus, the value of 1 unit is 1.375.
More about the ratio link is given below.
https://brainly.com/question/165414
Open the following image :)
ASAP!!!
Help me with this pls
Answer:
pretty sure x=34
Step-by-step explanation:
straight line equals 180 degrees. 34+12= 46. 46+34= 80. 100+80=180
Seths family plans to drive 220 miles to their vacation stop they would like to complete the drive in four hours find the average speed in miles per hour needed to make the trip in the desired time
Answer: 55 mph
Step-by-step explanation:
The family plans to drive for 220 miles and would like to do so in 4 hours.
To do so they would need an appropriate average speed.
Formula for speed is:
= Distance / Time
= 220 / 4
= 55 mph
The slope of the tangent to a curve at any point (x,y) on the curve is x/y. Find the equation of the curve if the point (2,-3) is on the curve?
Answer:
x^2 - y^2 = 3
Step-by-step explanation:
Answer:
x^2 - y^2 = -5
Step-by-step explanation:
I took the test
Alex bought four 15-pound bags of dog food, three 4 1/2 pound bags of cat food, and two 1/2-pound bags of fish food. How many pounds of pet food did Alex buy?
Answer:
15+4.5+0.5=20
Alex bought 20 pounds of pet food
Step-by-step explanation:
Hope this helps!!
BTW...if y'all have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤
find the gradient of lines A and B
Answer:
Line A Gradient: 2
Lime B Gradient: -1
Step-by-step explanation:
✔️Gradient for line A using two points on line A, (0, 1) and (1, 3):
[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 1}{1 - 0} = \frac{2}{1} = 2 [/tex]
Gradient of line A = 2
✔️Gradient for line B using two points on line B, (5, 0) and (3, 2):
[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{3 - 5} = \frac{2}{-2} = -1 [/tex]
Gradient of line B = -1
Given m||n, find the value of x.
(7x-30)
(6x-10)
Answer:2
Step-by-step explanation:
If 5^-x = 25, what is the value of 5^0.5x?
Answer:
1/5
Step-by-step explanation:
[tex]5^{-x}[/tex] = 25 so x = -2 because [tex]5^{2}[/tex] = 25
if x = -2 then plug in: 5^1/2(-2) = 5^-1 = 1/5
Someone plz help me plz
4(1.75)+4(7.50)+7=7+30+7=44
