Answer: 4.5 days or 4 1/2 days
Step-by-step explanation: We can use cross product property, to solve this. Workers to Days remember that
If 8 workers can build a wall in 12 days. How many days will it take 3 workers to build the same wall ?
❍ Explanation -:In this question we are provided that 8 workers can finish a piece of work in 12 days. We are asked to calculate how many days it will take 3 workers to complete the same work.
We can solve this question using two methods :
Unitary MethodMethod of proportion[tex] \small \green{ \underline{ \underline{\bf{ Unitary \: Method}}}}[/tex]
8 workers can build a wall in 12 days
1 worker can build a wall in 12 × 8 days
3 workers can build a wall in [tex]\dfrac{12 × 8}{3}[/tex] = 32 days.
Hence, If 8 workers can build a wall in 12 days. 3 workers will take 32 days to build the same wall.[tex] \rule{47mm}{4pt}[/tex]
[tex] \small \orange{ \underline{ \underline{\bf{ Method \: of \: proportion }}}}[/tex]
Let us assume that 3 workers can build a wall in x days.
[tex] \begin{array}{ cc } \bf{Number \: of \: workers} & \bf{Number \: of \: days} \\ 8 &12 \\ 3&x \end{array}[/tex]
Ratio of workers = Inverse ratio of days
[tex] \small\sf{ 8 : 3 :: x : 12}[/tex]
Product of mean = Product of extreme
[tex] \rightarrow \small\rm{ 3 \times x = 8 \times 12}[/tex]
[tex] \rightarrow{x \: }\small\sf{ = \dfrac{8 \times 12}{3} = 32 \: days } [/tex]
Hence, If 8 workers can build a wall in 12 days. 3 workers will take 32 days to build the same wall.[tex] \rule{73mm}{5pt}[/tex]
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with the same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Can someone please help me on this please I beg you no links I really appreciate it plz
Can you conclude from the figure that ABC is similar to DEF? Explain.
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
please, help me with this fast!! I'm giving points!!!!
Answer:
Step-by-step explanation:
c circle
how to solve y=-5/2x+4, Y=-1 using substitution
(i need the steps not just the answer)
Answer:
Step-by-step explanation:
- Since y = -1, we will substitute the y variable in the equation for -1.
-1 = -5/2x + 4
- Take away 4 from both sides in order to find out what x equals so we can substitute it.
5 = -5/2x
- turn it into a positive by multiplying each side by -1.
-1(-5 = -5/2x) =
5 = 5/2x
- Divide each side by 5.
1 = 1/2x
- Multiple both sides by 2.
2 = x
- Substitute the variables.
x = 2
y = -1
-1 = -5/2(2) + 4
Need help on this problem!!
Translate algebraic words to symbols.
Two times the sum of a and b
A. 2(a + b)
B. 2 + ab
C. 2ab
D. 2(a/b)
Answer:
Option A
Step-by-step explanation:
That is your answer
Answer:
a) 2(a+b)
Step-by-step explanation:
the sum of 2 numbers (or more) is always addition
so the sum of a and b would be (a+b)
then, 2 times of a and b;
2(a+b)
^the times sign between the bracket and the 2 isnt needed, whenever there is a bracket and a number next to it, it is automatically a multiplication.
Help me with this please!!!!!!!!
Answer:
I guess it is a rectangle
does anyone know how to solve this problem?
HELP !!!!!!!!!!!!!!!!
PLEASE HELP THIS IS OVERDUE!!
Answer:
y=1/2x-3
Step-by-step explanation:
help please !!!!!!!!!
Answer:
24
Step-by-step explanation:
How to write 8^5 x 8^6 as a single power
Step-by-step explanation:
We know that
[tex]\boxed{\sf a^m\times a^n=a^m+n}[/tex]
[tex] \sf \: {8}^{5} \times {8}^{6} \\ \sf \leadsto \: {8}^{5 + 6} \\ \sf \leadsto {8}^{11} [/tex]
[tex]\sf More\;to\: know{\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}}[/tex]
The perimeter of the triangular park shown on the right is 12x - 1. What is the missing length?
Answer:
6x-4
Step-by-step explanation:
c-the missing length
(2x+5)+(4x-2)+c = 12x-1
2x+5+4x-2+c=12x-1
6x+3+c=12x-1
6x+4+c=12x =>4+c=12x-6x =>4+c=6x => c=6x-4
What is the missing length? 6x-4
there are 5 green balls, 1 yellow ball,and 4 red balls in a bag. what are the probabilities?
choosing a red:
not choosing yellow:
choosing a blue:
Answer:
it is green balls=5
red balls =4
red +green
5+9
=14
Please helpppp
Extra points and brainleist
Answer:
B
Step-by-step explanation:
x² - 4x - 7 = 0
(x - 2)² = 11
Lucy is planting grass in her front yard and backyard. Her front yard is 20 ft. by 35 ft., and her backyard is 13 ft. by 17 ft. What is the total area of the space in which Lucy will plant grass?
for brainiest:):):):):):):)
Answer:
I'm pretty sure 1 is verticle and 2 is complimentary
Step-by-step explanation:
What is the axis of symmetry of h(x) = –2x2 + 12x – 3?
a. x = –15
b. x = –3
c. x = 3
d. x = 15
We will see that the axis of symmetry is x = 3, so the correct option is c.
How to find the axis of symmetry of a quadratic function?
The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.
Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.
Then we only need to find the x-value of the vertex, remember that for a quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
Then in our case, the vertex is at:
[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]
So the axis of symmetry is x = 3, then the correct option is C.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ2
Dana is planning the school picnic and needs to decide what food vendor to
use. She asks 750 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
120
300
Eighth-graders 180
Ninth-graders 110
90
200
Total
290
210
500
What is the relative frequency of eighth-graders who want fruit smoothies?
26
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
You buy a car for $16,000. It will decrease in value by 10% each year. How much will it be worth after 4 years?
Answer: 9,600
Step-by-step explanation:
I could possibly did wrong but I shall explain this none the less. I first knew that 10% of 16,000 was 1,600. So then I just timed that by four getting 6,400. I then did 16,000-6,400 getting $9,600. Sorry if I’m wrong
Answer:
$9600
Step-by-step explanation:
10% of 16,000 = 1600
1600*4= 6400
16,000-6,400
= 9600
Consider the following set of equations:
Equation M: y = x + 8
Equation P: y = 3x + 6
Which of the following is a step that can be used to find the solution to the set of equations? (4 points)
a
x = 3x + 6
b
x + 8 = 3x + 6
c
x + 6 = 3x + 8
d
x = 3x
Answer:
B. X+8=3x+6
Step-by-step explanation:
You substitute the y value of one equation with the y value of the 2nd equation.
Help please I am struggling thank you
The answer is 904.8 yd³
Step-by-step explanation:
The formula for a sphere's volume is 4/3πr²
r in this case is 12/2 which is 6. That means that r=6 which gives us 904.78 which is rounded to 904.8.
Answer:
904.32
Step-by-step explanation:
v= [tex]\frac{4}{3\\}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
first cube the radius (6) (radius is half of the diameter 12)
6x6x6 = 216
multiply by pi
216 x 3.14 = 678.24
multiply by 4/3
[tex]\frac{678.24}{1}[/tex] x [tex]\frac{4}{3}[/tex] = [tex]\frac{2712.96}{3\\}[/tex] = 904.32
pls help!!
1. 5n + 10 = 20 n = ?
2. 36 = 12m m = ?
3. 4a - 12 = 28 a = ?
4. q/5 = 10 q = ?
Answer:
here you go! :))
n= 2
m=3
a= 10
q= 50
PLEASE I NEED HELP ASAP!!
Answer:
8√2
Step-by-step explanation:
I need help on this one too. Please.
In how many different ways can 3 people select seats at a
dining table having 8 seating positions if they can select any
seat?
Four lines are shown in the graph below.
Which line has the slope with the greatest value?
A
line A
B
line B
C
line C
D
line D
Answer:
D
Step-by-step explanation:
A vertical line will have the steepest slope
SOMEONE PLEASEEEE HELPPPP?!?!?!?!!?
Answer:
Step-by-step explanation:
Top/Bottom = 12
Sides = 15
Front/Back = 20
20 + 15 + 12 = 47
47 / 1/2 = 23.5
A fighter jet has traveled 60 miles since take-off. The equation
194. – 60 can be used to determine the total number of miles
the jet has traveled. In the equation, y represents the number of
miles traveled, and I represents the number of minutes traveled.
Which statement best describes the rate of change in the distance
traveled?
A.For every 1 minute, a fighter jet travels 38 miles.
B.For every 1 minute, a fighter jet travels 19 miles.
C. For every 1 second, a fighter jet travels 19 miles.
D.For every 28 minutes, a fighter jet travels 115 miles.
Answer:
C. For every 1 second, a fighter jet travels 19 miles.
Step-by-step explanation: