During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 3:8. The equation 3 8 = t 66 − t 3 8 = t 66 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answer:
18
Step-by-step explanation:
t = Number of trucks counted
c = Number of cars
Ratio of trucks to cars = [tex]\dfrac{t}{c}=\dfrac{3}{8}[/tex]
Total number of cars and truck = 66
[tex]t+c=66[/tex]
Divide the left and right side by the number of cars
[tex]\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48[/tex]
Total number of cars is 48
so
[tex]t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18[/tex]
Total number of trucks counted is 18.
I have 1 word problem and a math problem. (word prob)A light-year is the distance that light travels in a year and is equivalent to 9.461 * 10^12. Write this distance in standard form.
(math prob) Order the list of numbers from least to greatest.
8.5*10^12,3.6*10^8,5.85*10^-3, 2.5*10^-1,8.5*10^8. ( This ^ means there are square roots for the numbers).
My math class is real soon. Pls, answer them. Thanks!!
Answer:
1. 9461000000000
move the desimal in 9.461 12 places to the right to get:
9461000000000
2.
5.85 x 10^-3,
2.5 x 10^-1,
3.6 x 10^8,
8.5 x 10^8,
8.5 x 10^12
the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal
15. Which expression has the greatest value?
A. 142-(-172)
B. 1 12+ -1 12
C. -142 - (-14)
D. 142
Answer:
i think that its D
Step-by-step explanation:
hopes this helps
The distance from Philadelphia to Harrisburg is 5 inches on the map. The actual distance is 100 miles. The distance from Allentown to Harrisburg is 4 1/20 inches on the map. What is the actual distance, in miles, from Allentown to Harrisburg?
A.) 81 miles
B.) 405 miles
C.) 65 miles
D.) 84 miles
Answer:
A. 81 miles
Step-by-step explanation:
b+b-1+b+b+10=___b+9
whats the blank spot??
ASAP answer it please.!!!!!!!!!!!!!!!!!!! thank uuu
Answer:
X=120 and y=10,z=120
Step-by-step explanation:
corresponding angles
thus 120=(13y-10)=x
The temperature at midnight was −11°C. By midday, the temperature was 5°C.
What was the temperature during the morning?
Explain what method you used to find the temperature change.
Answer:
-3 celcius
Step-by-step explanation:
Answer:
6 ℃
Step-by-step explanation:
by substacring u will see it
A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
27/2
Step-by-step explanation:
Hope this helps! Also dont add comments to get gems like bruh ;-;
Answer: 27/2
Step-by-step explanation:
[tex]9\cdot \:1=x\frac{2}{3}[/tex]
[tex]x\frac{2}{3}=9\cdot \:1[/tex]
[tex]x\frac{2}{3}=9[/tex]
[tex]3x\frac{2}{3}=9\cdot \:3[/tex]
2x= 27
x= 27/2
Add Me Brainliest!
solve for x: -5|x + 1| = 10
Answer:
x=-3
Step-by-step explanation:
-5(x+1)=10
-5x-5=10
-5x= 15
x=-3
Help me
Line ℓ is perpendicular to line m. Find the value of x and w.
Guys can you plz help me Answer this QUESTION!!!!!!
Answer:
C - 9
Step-by-step explanation:
pls give branliest
What is the square root of 40000 step by step
Thx for everything that answers
The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer
ANSWER ASAP PLEASE AND SHOW YOUR WORK!!!!
Algebraically determine whether the following function is Even, Odd, or Neither.
f(x)= x^3-2x
Answer:
f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd
Step-by-step explanation:
We need to determine if the function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.
Determining if a function f(x) is even or not we put x=-x and check
If f(-x)=f(x) the function is even
if f(-x)= -f(x) the function is odd
So, Putting x =-x and determining if the given function [tex]f(x)= x^3-2x[/tex] is Even, Odd, or Neither.
[tex]f(x)= x^3-2x\\Put \ x=-x\\f(-x)=(-x)^3-2(-x)\\f(-x)=-x^3+2x\\f(-x)=-(x^3-2x)\\f(-x)=-f(x)[/tex]
As f(-x)= -f(x) so, the given function [tex]f(x)= x^3-2x[/tex] is Odd
PLEASE HELP I WILL MARK AND 5 STARS SOLVE AND EXPLAIN THANKS
(BRAINLYEST TO RIGHT ANSWER) pls i need help!
Answer:
What is the question?
Step-by-step explanation:
Answer:
where is the question
Step-by-step explanation:
A single bus fare costs $2.35. A monthly pass costs $45.75. Celine estimates that she will ride the bus 25 times this month. Kamal estimates that he will ride the bus 18 times. should they both buy monthly passes? Explain.
Answer:
No they shouldn't.
Step-by-step explanation:
Monthly pass: Celine: $1,143 Kamal: $823
Single Pass: Celine: $58 Kamal: $42
13 pretty please
:)tyyyyyyy
Answer:
B.
Step-by-step explanation:
On your last math quiz, you got 15
out of 20 questions correct. What is
your percentage of correct answers?
Answer: 75%
Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.
Solve the system of equations
-6y+11x=-36
-4y+7x=-24
x=
y=
Answer:
Y=6
X=0
Step-by-step explanation:
Hope this helps
Evaluate each value expression for the given value of x : 22-x/5 , x=20
HURY!!!!!!!!!!!
Answer:
10 maybe sorry if wrong
Step-by-step explanation:
22-x x=20 so that should be 2 then u do 2x5 =10
ILL GIVE YOU BRAINLEST!!
Answer:
24 pennies
Step-by-step explanation:
120 x 0.2 go get 24 and other will get 48
Which number sentence is true?
A. –2.0 + (–0.5) = 2.5
B. –4.5 + 6.5 = –2.0
C. 3.0 + (–0.5) = –2.5
D. 5.5 + (–2.5) = 3.0
answer soon please!
Answer:
B. and D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Here are the correct sums:
A. –2.0 + (–0.5) = -2.5
B. –4.5 + 6.5 = 2.0
C. 3.0 + (–0.5) = 2.5
D. 5.5 + (–2.5) = 3.0
Only D is correct.
Answer: D
What is the slope of the line passing through the points (-6, 33) and (-2, 15)?
Please answer quick
Answer:
The slope is -9/2
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=15-33/(-2)-(-6)
m=-18/4
m=-9/2
What is the formula for the area of this triangle?
Answer:
A = h b/2
Step-by-step explanation:
Answer:
J =6,L=5,K=3
Step-by-step explanation:
this is kinda hard to do bur I'll try to do it.
ANSWER PLSSS THANK YOUUUUU
Answer:
As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%
Step-by-step explanation:
Count the blocks and convert (you can also use an array.) Hope this helps you!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
The box is a 10x10 so it has 100 squares inside.
There are 81 squares shaded so the fraction would be 81/100
To get the decimal just divide 81 by one hundred so the decimal is .81
As a percent is would be 81%
Hope this helps ya!!
Harry and Selma start driving from the same location. Harry drives 42 miles north and Selma drives 144 mies east. How far apart are Harry and Selma when they stop?
Answer:
150 miles
Step-by-step explanation:
use the pythagoerean theorem
42^2 + 144^2 = c^2
1764+20736=c^2
22500 = c^2
c= 150 miles
HEELLLPP MEEEE PLZZZZ!!!!!
Use the distance formula to find base and height.
How do you find the slope of the table below
Ed wants to buy a basketball for $5, but
his bank account only contains $3. If Ed
purchasos tho baskotball, how much
money will his bank account show?
The median of the set (n, n+5, n+6, n+9, n+15) is 9. What is the mean?
HELP ME
Answer: 10
Step-by-step explanation:
tbh its too long to explain i gtg now but plz just trust me