Answer:
The faster bus moves at 83mi/h and the slower one moves at 69mi/h.
Step-by-step explanation:
Let's define:
R₁ = rate of bus 1, this is the faster one.
R₂ = rate of bus 2, this is the slower one.
We know that one bus travels 14mi/h slower, then:
R₂ = R₁ - 14mi/h.
Now we know that:
Distance = Speed*Time.
If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:
R₁*2h + R₂*2h = 304 mi
Then we have the two equations:
R₂ = R₁ - 14mi/h
R₁*2h + R₂*2h = 304 mi
The first step is to replace the first equation in the second one, to get:
R₁*2h + (R₁ - 14mi/h)*2h = 304 mi
And now we can solve this for R₁.
R₁*2h + R₁*2h - 14mi/h*2h = 304 mi
R₁*4h - 28mi = 304mi
R₁*4h = 304mi + 28mi = 332mi
R₁ = 332mi/4h = 83mi/h
The faster bus moves at 83mi/h
And we know that the slower one moves at 14mi/h slower than this, then:
R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Complete the third step to solve the equation.
3 + 2x = -6x + 4
1. Isolate the variable term on one side: 3 + 8x = 4
2. Isolate the constant on the other side: 8x = 1
3. Solve for x:
Answer:
x= 1/8 or 0.125
Step-by-step explanation:
8x=1
x=1/8
Answer:
1/8 is the answer
Step-by-step explanation:
welcome have a good day
What type of polynomial is this and what is its degree?
5b3 - 3 + 6b
Answer:
3rd degree trinomial
Step-by-step explanation:
the highest power is 3 and there are 3 terms so its a 3rd degree trinomial
The sum of the enterior angles of any triangle is equal to:
Answer:
is equal to 180°
I hope it's helps you
How to get 6/9 as a decimal using division help
PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST
Answer:
4. C: 98 degrees because the angles are consecutive angles
5. E: None of the above
Explanation: 102 degrees because the angles are corresponding angles
6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.
Step-by-step explanation:
Answer:
4. C, 5. E, 6. C
Step-by-step explanation:
4.
Angles x and 82 degrees are supplementary (add up to 180).
x = 180 - 82 = 98
These angles are consecutive interior angles (they're on the inside).
5.
Angles x and 102 degrees are the exact same.
These angles are corresponding angles. So it's none of these, not vertical or alternate interior.
6.
103 degrees is vertical to <b and <b is corresponding to <x.
Hope this helps!
The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know
Answer:
Step-by-step explanation:
The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.
You need at least one properly placed side to make them congruent.
−6x^2−1 and x+9 help will mark brainliest.
Answer:
-6x^2+x+8
Step-by-step explanation:
Add -1 and 9 because they are the only like terms
-12 +15 + (-30) +17= (?)
Answer:
-10
Step-by-step explanation:
-12+15=3
(-30)+17=-13
3+(-13)=-10
Please solve the question below 2
Answer:
C
Step-by-step explanation:
The Interquartile range determines how consistence Annie and Ellen are. The greater the IQR, the less the consistency, while the lesser the IQR, the more consistency.
The IQR for Annie is lesser than that of Ellen because the rectangular box is smaller for Annie's than that of Ellen.
Therefore, Annie is more consistent.
What’s a perfect cube
M
HELP ME AGAIN PLSSSSS
Answer:
16
Step-by-step explanation:
4^2 = 16
4×4=16 thats the answer
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x − 1)2 − 2
f(x) = −(x + 1)2 − 2
f(x) = (x + 1)2 – 2
f(x) = (x − 1)2 − 2
Answer:
The second answer is the correct one, f(x) = -(x + 1)² - 2
Step-by-step explanation:
We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.
We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2. Without that the parabola would be moving upward from its vertex of (-1, -2).
With those we can eliminate all answers but the second one
Answer:
Step-by-step explanation:
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x + 1)2 − 2
help please 21/r = 15/14
Answer:
19.6 Don't ask how just give brainliest
Answer:
19.6
Step-by-step explanation:
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
500 is 37% of what number
A 37
B 74
C 185
D 370
Answer:
C i guess
Step-by-step explanation:
Given that P(B|A)=0.75 and P(A)=0.47, what is P(B AND A)? Round to three decimal places.
Answer:
0.627
Step-by-step explanation:
Test your knowledge of lines with the following:
Hi I need help please
Answer/Step-by-step explanation:
Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides
Apply this knowledge to solve the problems given.
✔️Problem 1 (4-sided polygon):
Let the missing area be x cm²
Therefore,
[tex] \frac{x}{9} = \frac{8^2}{4^2} [/tex]
[tex] \frac{x}{9} = \frac{64}{16} [/tex]
[tex] \frac{x}{9} = 4 [/tex]
Multiply both sides by 9
x = 9*4
x = 36 cm²
✔️Problem 2 (3-sided polygon):
Let the missing area be y cm²
Therefore,
[tex] \frac{y}{240} = \frac{8^2}{32^2} [/tex]
[tex] \frac{y}{240} = \frac{64}{1,024} [/tex]
[tex] \frac{y}{240} = \frac{1}{16} [/tex]
Multiply both sides by 240
y = ¹/16 × 240
y = 15 cm²
✔️Problem 3 (5-sided polygon):
Let the missing area be z cm²
Therefore,
[tex] \frac{z}{40} = \frac{3^2}{2^2} [/tex]
[tex] \frac{z}{40} = \frac{9}{4} [/tex]
Multiply both sides by 40
[tex] z = \frac{9}{4} * 40 [/tex]
[tex] z = \frac{9}{1} * 10 [/tex]
z = 90 cm²
Look at the table.
Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625
What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250
Answer: $825 (B)
Step-by-step explanation:
it’s obvious
Answer: The answer is B!
Step-by-step explanation: It's on edge, hope this helped!
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
Find the volume of the prism.
Answer:
360 ft^3
Step-by-step explanation:
plz brainliestt
During class, students were asked to talk to their neighbor to determine whether
3/9 represents a repeating decimal or a terminating decimal. Diego told his
neighbor that 3/9 represents a terminating decimal. Is Diego correct? Explain
your reasoning in a full sentence.
Your answer
Romeo will roll a 6 sided number cube numbered 1-6 what is the probablility of rolling an odd number on the first roll and then number 4 on the second roll. a 1/12. b 1/6. c 1/4 d 1/3
Answer:
D
Step-by-step explanation:
Answer:
[tex]a.\: \frac{1}{12}[/tex]
Step-by-step explanation:
The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.
The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.
Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].
It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.
What is the solution
A. -2
B.1
C.(1,2)
D.(1,-1)
Answer:
Option D
Step-by-step explanation:
Two lines given in the graph represent the system of linear equations.
Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.
Point of intersection of these lines → (1, -1)
Therefore, solution of the given system of equations will be (1, -1)
Option D is the answer.
Please help....................
Answer:
B = 31°
a = 18.9
b = 11.3
Step-by-step explanation:
✔️B = 180° - (90° + 59°) (sum of triangle)
B = 31°
✔️Use trigonometric ratio to find a:
Reference angle = 59°
Side opposite to reference angle = a
Hypotenuse = 22
Thus,
Sin 59 = a/22
Multiply both sides by 22
22*sin 59 = a
18.9 = a
a = 18.9 (nearest tenth)
✔️Use trigonometric ratio to find a:
Reference angle = B = 31°
Side opposite to reference angle = b
Hypotenuse = 22
Thus,
Sin 31 = b/22
Multiply both sides by 22
22*sin 31 = b
11.3 = b
b = 11.3 (nearest tenth)
Which of the following is NOT a level of measurement? nominal ratio qualitative ordinal
Answer:
Nominal.
Step-by-step explanation:
The option that is NOT a level of measurement is qualitative.
With qualitative, numbers are not assigned to the measurement.
A level of measurement classifies and relates values to variables. Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.
Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.
Thus, qualitative is not a recognized level of measurement.
Learn more about levels of measurement at https://brainly.com/question/24148016 and https://brainly.com/question/4823744
FIRST CORRECT ANSWER GETS BRAINLIEST PLS HELP
Doug earns $10.50 per hour working at a restaurant. On friday he spent 1 3/24 hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were doug's earnings?
Answer:
57.75
Step-by-step explanation:
Doug did clean 1 3/4 hour.
Doug did paperwork for 2 1/3 hour
Doug did serving for 1 5/12
Add 1 3/4+ 2 1/3+1 5/12=16/12 or 5.5 hrs
In one hour Doug earns $ 10.50 .
Therefore in 5.5 hour Doug earns 5.5 $ 10.50 = $ 57.75
Hence the total which Doug earned is $ 57.75
Anne bought a new pair of shoes. She got 20% off the regular price. If she paid $40, what was the regular price of the shoes before her discount?