A transportation company is interested in knowing the amount of time it takes for the different type of vehicles they own to travel certain distances based on their different speeds. A car travels 180 miles in the same time that a truck travels 120 miles. If the car’s speed is 20 miles per hour faster than the truck’s, find the car’s speed and the truck’s speed.
Answer:
60 mph and 40 mphStep-by-step explanation:
Let the speed of the car = x and the speed of the truck = y
We have following equations:
180/x = 120/y x = y + 20Simplify the first equation and substitute x:
180y = 120x2x = 3y2(y + 20) = 3y2y + 40 = 3y3y - 2y = 40y = 40Find the value of x:
x = 40 + 20 = 60Car's speed 60 mph
Truck's speed 40 mph
50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER IT IF YOU DONT KNOW IT GUYS
Answer:
x = 26°Step-by-step explanation:
The first two questions are answered here
https://brainly.com/question/21794653Question 3Use the equation for exterior angle
Exterior angle = sum of non-adjacent interior angles
5x - 2 = 2x + 765x - 2x = 76 + 23x = 78x = 26Answer:
x = 26° degrees the work bellow is correct i double checked it :)
Step-by-step explanation:
All changes saved
The table below shows the number of sales Alan made last week. Based on these numbers, he claims to have had about 9 sales per day for the week.
Explain why this claim might be considered Inaccurate,
Alan's Weekly Sales
Day
Number of Sales
Monday
5
Tuesday
9
Wednesday
4
Thursday
9
Friday
3
Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here.
Answer:
(A) 0.2814
Step-by-step explanation:
you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.
Answer:
A) 0.2814
Step-by-step explanation:
edge 2023
In a large school, it was found that 77% of students are taking a math class, 74% of student are taking an English class, and 70% of students are taking both. Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
Answer:
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Step-by-step explanation:
We solve this question working with the probabilities as Venn sets.
I am going to say that:
Event A: Taking a math class.
Event B: Taking an English class.
77% of students are taking a math class
This means that [tex]P(A) = 0.77[/tex]
74% of student are taking an English class
This means that [tex]P(B) = 0.74[/tex]
70% of students are taking both
This means that [tex]P(A \cap B) = 0.7[/tex]
Find the probability that a randomly selected student is taking a math class or an English class.
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81[/tex]
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
This is
[tex]1 - P(A \cup B) = 1 - 0.81 = 0.19[/tex]
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Distributive property to simplify the expression 5(x+5)
Answer:
5x + 25
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5(x + 5)
Step 2: Expand
Distribute 5: 5(x) + 5(5)Multiply: 5x + 25a takeaway sells 10 inch pizzas and 12 inch pizzas. what proportion sold were 10 inch pizzas in week 1. What proportion sold were 10 inch in week 2
Answer:
In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.
Step-by-step explanation:
Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:
Week 1 = 736 total sales
10-inch pizzas = 509
736 = 100
509 = X
509 x 100/736 = X
50,900 / 736 = X
69.15 = X
100 - 69.15 = 30.85
Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.
Week 2 = 1076 total sales
10-inch pizzas = 765
1076 = 100
765 = x
765 x 100/1076 = X
76500/1076 = X
71.09 = X
100 - 71.09 = 28.91
Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.
) Let f(x) = 4x + 2 and g(x) = 3
x
. Find each of the following.
(a) (f + g)(3)
(b) (f · g)(x)
Someone help me on 7b please it’s statistics by the way
2. Tyler is driving to visit his grandmother. It takes him 5 hours to travel 260 miles. How fast
was Tyler driving?
Answer:
52mph
Step-by-step explanation:
260/5
I need help asap! The answer isn't 0.
Select the correct answer. Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Answer:
The answer is E infinitely many.
Step-by-step explanation:
The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.
A circle has a radius of 4x^7y^3. What is the area of this circle in square centimeters. PLEASE HELP
Answer:
D.)
Explanation:
[tex]A=[/tex]πr²
[tex]A=[/tex]π[tex](4x^{7} y^{3} )^{2}[/tex]
According to the Power Rule you raise coefficients to the power and multiply the exponents
[tex]A=([/tex]π[tex])(16x^{14} y^{6} )[/tex]
[tex]A=16[/tex]π[tex]x^{14}y^{6}[/tex]
2x+5=9 plz help plz plz plz plz
Answer:
2
Step-by-step explanation:
2x=4
x=2
that's it,
______
have fun, don't forget to brilliant
Answer:
=2
Step-by-step explanation:
1. Subtract from both sides of the equation
2+5=9
2+5−5=9-5
2.Simplify
Subtract the numbers
2+5−5=9−5
2=9−5
Subtract the numbers
2=9−5
2=4
3.Divide both sides of the equation by the same term
2=4
22=4
4.Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
solve the following system of equation using the substitution method y equals 3x - 14 y equals x - 10
Answer:
(2,-8)
Step-by-step explanation:
y have
y=3x-14
y=x-10
we can substitute y in the first equation with x-10
x-10=3x-14
solve for x
4=2x
x=2
Now that we know what x equals we can solve for y
3(2)-14
6-14
-8=y
(2,-8)
Where is the blue dot on the number line?
can anyone help me :)?
Three of these fractions are equivalent.
Which is the odd one out?
18
24
28
8
24
32
36
57+47264÷4372=ui
[tex]57 \times 47264 \div 4372[/tex]
Answer:
67 886/1093
Step-by-step explanation:
The rationale number between -1/3,1/4?
Answer:
1/6
Step-by-step explanation:
here is it
o help save for college, your friend invested $1000 in an account that pays 6% annual interest compounded continuously. How much money will your friend have after 4 years?
Simplify Rewrite the expression in the form 5 ^ n. (5/10)/(5/12) =
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
[tex]5^{(10-12)}[/tex]
The simplified expression in the form 5^n is 5^−1×6.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
Form=5 ^ n
Now,
To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)
Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25
Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5
Finally, we need to rewrite the fraction in the form of 5n
by using the property that a/b=a×b−1
So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6
Therefore, by the fraction the answer will be 5^−1×6.
Learn more about fraction;
https://brainly.com/question/729654?referrer=searchResults
#SPJ2
50 points! Find the value of x. I will mark brainliest! Random answers will be reported. Thanks :)
Step-by-step explanation:
For 1st question
x = 35° + 15° {exterior angle of a triangle is equal to the sum of two opposite interior angles }
x = 50°
For second question
9x + 16° = 90° + 5x - 14°{exterior angle of a triangle is equal to the sum of two opposite interior angles }
9x - 5x = 90° - 14° - 16°
4x = 60°
x = 60° / 4
x = 15°
Hope it will help :)
Pls help extra points and mark brainlist
Answer:9x^2+5x
Step-by-step explanation:
the two forces 132-lb and 88 lbs are applied to opposite ends of a 15 foot lever. How far from the greater force must the fulcrum be placed so that the lever is balanced?
The fulcrum should be. feet from the greater force.
ignore the weights of the lever
Answer:
6 feet from the greater force
Step-by-step explanation:
X = length from greater weight to fulcrum
132X = 88(15-X)
132X = 1320-88X
220X = 1320
X = 6
Jorge walked 25 steps north. Then he walked 75 steps south. What’s Jorge final position
Well if Jorge's motion can be described by vectors then he first went +25 steps then -75 steps which means he did -50 steps in total. His position is thus 50 steps to the south of the original position.
Hope this helps.
Answer:
50
Step-by-step explanation:
Can I get help on this question?
Answer:
the answer should be 200
Just wanted to tell you that... You are special because theres only ONE of you :)
Answer:
how sweet thx
Step-by-step explanation:
E)
$21,112
6)
Sam and Eli are partners in a new business. Eli contributes 45% of the $5000 startup capital, and Sam contributes the remaining
amount. Which statements are correct for this situation?
A)
Sam contributes $2750.
B)
Eli contributes $2750
09
Sam contributes 10% more than Eli.
D)
Eli contributes $500 less than Sam.
E)
Eli contributes $450 less than Sam.
7)
The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE
statements are correct for this situation?
Answer:
A,C,D
Step-by-step explanation:
I just did it
xy2 for x = 8 and y = 10.
Answer:
6400
Step-by-step explanation:
(8)(10)2
(80)2
6400
Answer:
160
Step-by-step explanation:
you replace x with 8 and replace y with 10
Whenever the numbers are close together such as "xy2" it mean you're multiplying
so whwn you multiply 8 * 10 * 2 you would get 160
Hoped this helped!