A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
Which sketch represents this situation?
Answers
If the crew members used 3 gal of paint per hour and bought 30 gal of paint for a job, then they will work 30:3=10 hours.
They start at x=0 hours with y=30 gal of paint;They end at x=10 hours with y=0 gal of paint (they worked until they used all the paint).The dependence between x and y is linear.Conclusion: the only possible sketch is A.
Answer: correct choice is A.
Related Questions
There are 440 students, ratio of male to female students is 6 to 5. Find how many male and female students in a class
Answers
6: 66
5: 55
Males: 6 times 40 = 240 of them
Females: 5 times 40 = 200
can someone plz help me ?
Answers
BU ARADA GERÇEK HESP
HAZYAR2992
You roll a red die and a green die. What is the size of the sample space of all possible outcomes of rolling these two dice, given that the red die shows an even number?
...?
Answers
Size of sample space = 18.
Find the polar coordinates of the point that has rectangular coordinates (-3,3*sqrt of 3) write your answer using degrees. THANK YOU:)
Answers
y = 3*sqrt(3)
r = sqrt(x^2 + y^2)
r = sqrt((-3)^2 + (3*sqrt(3))^2)
r = sqrt(9+27)
r = sqrt(36)
r = 6
theta = arctan(y/x)
theta = arctan(3sqrt(3)/(-3))
theta = arctan(-sqrt(3))
theta = -60 degrees which is coterminal to 300 degrees
So the polar form is (r,theta) = (6, 300)
Simple question! Thank you for the help so far! :D
Answers
Answer:
○ [tex]\displaystyle y ≤ -7[/tex]
Step-by-step explanation:
Whenever you divide\multiply by a negative, you reverse the inequality symbol.
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how does sin(-13pi/4) = -5pi/4
we were asked to find the exact value of sin(-13pi/4)
how does sin(-13pi/4) = -5pi/4
we were asked to find the exact value of sin(-13pi/4)
Answers
13π / 4 needs to be 'reduced' so that we find out where on the Unit Circle you are.
To do this, subtract out 8π / 4 (2π, or a whole Unit Circle) until you can't do it anymore without getting a negative number.
Subtracting out 8π/4 gives you 5π/4.
Sin 5π/4 = -√2 / 2
The reason I chose 8π/4 was because your fraction had 4 in the denominator. If it had, say, 12 in the denominator, the subtraction would have been 24π/12 (still giving 2π, or a whole Unit Circle). Make sense?
The equation sin(-13π/4) = -5π/4 is incorrect.
The correct value for sin(-13π/4) is actually 1/√2 or √2/2, not -5π/4.
Here, we have,
To understand why, let's break down the calculation step by step:
The sine function represents the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
In this case, we have an angle of -13π/4.
To find the reference angle,
we can add 2π to -13π/4 to bring it into the standard range of angles:
-13π/4 + 2π = -5π/4
Now, we can find the reference angle of -5π/4 in the unit circle or trigonometric table.
The reference angle of -5π/4 is π/4.
Since sine is positive in the second quadrant,
the value of sin(-5π/4) is the same as sin(π/4), which is 1/√2 or √2/2.
Therefore, the correct exact value of sin(-13π/4) is 1/√2 or √2/2, and not -5π/4.
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(10^25)-7 is divisible by
a) 2 b)3 c)9 d) both 2 & 3
Answers
If the last digit of a number is divisible by 2, than the number is divisible by 2 (for example, in 828, the last digit is 8 which is divisible by 2 (8/2 = 4), so 828 is also divisible by 2).
If the sum of all the digits of a number is divisible by 3, then the number is divisible by 3 (for example, in 396, the sum of the digits is 18 (3+9+6=18), so 396 is also divisible by 3).
Similarly, if the sum of all the digits of a number is divisible by 9, then the number is divisible by 9.
Now, let's check it out for 10²⁵ - 7. Let's first take simple examples:
10² - 7 = 100 - 7 = 93 (The last digit is not divisible by 2. Also, the sum of the digits is 9+3=12 and it is divisible only by 3, but not by 9).
10³ - 7 = 1000 - 7 = 993 (The last digit is not divisible by 2. Also, the sum of the digits is 9+9+3=21 and it is divisible only by 3, but not by 9).
10⁴ - 7 = 10000- 7 = 993 (The last digit is not divisible by 2. Also, the sum of the digits is 9+9+9+3=30 and it is divisible only by 3, but not by 9).
....
10²⁵-7 =..... There are many zeros, but based on the previous examples, we can make a conclusion that the last digit is not divisible by 2. Also, the sum of the digitsit is divisible only by 3, but not by 9.
Use the Law of Detachment to draw a logical conclusion from the two given statements. If not possible, choose not possible. If you drive safely, then you can avoid accidents. Teddy drives safely.
Teddy avoids accidents. If Teddy avoids accidents, he must drive safely. (my ans)
If Teddy does not drive safely, he does not avoid accidents.
not possible
Answers
Premise 2: Teddy drives safely
Conclusion: Teddy avoids accidents
Answer:
Teddy avoids accidents.
Step-by-step explanation:
A ship sails due west from a harbor for 28 nautical miles. It then sails S68°W for another 17 nautical miles. How far is the ship from the harbor? (Round your answer to two decimal places.)
Answers
The ship is approximately 26.16 nautical miles from the harbor after following the described path.
To find the distance of the ship from the harbor after sailing due west for 28 nautical miles and then S68°W for another 17 nautical miles, we can use trigonometry to calculate the resultant displacement.
Let's break down the two legs of the journey:
1. Due west for 28 nautical miles is a straight line.
2. Sailing S68°W for 17 nautical miles forms an angle of 68° with the west direction.
Using trigonometry, we can find the horizontal and vertical components of the second leg:
Horizontal component = 17 * cos(68°)
Vertical component = 17 * sin(68°)
The total horizontal displacement from both legs is:
Horizontal displacement = 28 - (17 * cos(68°))
The total vertical displacement from both legs is:
Vertical displacement = 17 * sin(68°)
To find the distance from the harbor, we use the Pythagorean theorem:
Distance = √(Horizontal displacement² + Vertical displacement²)
Calculating:
Horizontal component = 17 * cos(68°) ≈ 6.93 nautical miles
Vertical component = 17 * sin(68°) ≈ 15.52 nautical miles
Horizontal displacement = 28 - (17 * cos(68°)) ≈ 21.07 nautical miles
Vertical displacement = 17 * sin(68°) ≈ 15.52 nautical miles
Distance = √(21.07² + 15.52²) ≈ √(443.9749 + 240.5504) ≈ √684.5253 ≈ 26.16 nautical miles
Therefore, the ship is approximately 26.16 nautical miles from the harbor after following the described path.
Electronics Warehouse is having a blowout sale. A television that normally sells for $275 is on sale for 30% off. How much is the discount?
Answers
Step-by-step explanation:
A company receives $198, of which $13 is for sales tax. The journal entry to record the sale would include a
A : debit to Sales Revenue for $198.
B : credit to Sales Taxes Payable for $13.
C : debit to Cash for $180.
D : debit to Sales Tax Expense for $13.
Answers
Among the choice the answer to
The journal entry to record the sale would include a debit to Sales Revenue for $198.
The answer is A.
The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?
A. $18
B. $15
C. $25
D. $10
<33 please help
...?
Answers
For the girls,
2c + 3t = 80
For the boys,
c + 7t = 95
Solving the system of equations, multiply the second equation by 2 and subtract them.
2c + 3t = 80
2c + 14t = 190
---------------
11t = 110
t = 10
Substitute t to either equations,
c = 95 - 7t
c = 95 - 7(10)
c = 25
Therefore, one canoe costs $25 (C.)
The cost to rent 1 canoe from the rent made by the group of the girls and boys is $25.
What are word problems?Word problems are a mathematical interpretation by using variables, numbers, and arithmetic operations to solve real-life problems.
From the given information:
The group of girls: 2c + 3t = 80 --- (1)The group of boys: 1c + 7t = 95 ---- (2)Now, we can have a system of equations, and we can solve for the number of canoes and the inner tubes rented.
Using Elimination method:
2c + 3t = 80 --- × (1)
c + 7t = 95 --- × (2)
2c + 3t = 80
-2c + 14t = 190
0 + -11t = -110
-11t = -110
t = -110/-11
t = 10
From equation (1)
2c + 3t = 80
2c + 3(10) = 80
2c + 30 = 80
2c = 80 - 30
2c = 50
c = 50/2
c = 25
Therefore, we can conclude that the cost of the rent of 1 canoe is $25.
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Estimate the fraction equal to 19%
Answers
[tex]\displaystyle\\ 19\% = \boxed{\frac{19}{100} } = \boxed{0.19}[/tex]
If the discriminant of a quadratic equation is 4, which statement describes the roots?
-2 complex roots
-2 real roots
-1 real root
-1 complex root
PLEASE HELP
Answers
An equation can have 2 real roots if the discriminant is 4.
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
Answer:
Statement which describes the roots is:
2 real roots
Step-by-step explanation:
If the discriminant D of a quadratic equation follows:
D=0 then there are 2 equal real roots or 1 real root
D>0 then there are 2 unequal real roots
and if D<0 then there are 2 complex roots
Here, we are given the discriminant of a quadratic equation is 4
i.e. D=4 >0
So, it means quadratic equation has 2 real roots
Hence, statement which describes the roots is:
2 real roots
Hence, statement which describes the roots is:
2 real roots
What is "Centroid of a triangle" and why is it important?
Answers
Change 5000 meters to kilometers.
a.0.5 kmb)5 kmc)50 kmd)500 km
Answers
Convert:
5000 m * (1 km / 1000 m) = 5 km (ANSWER)
option b) 5 km
1 km = 1000 m
Divide the number of meters by 1000:
5000 m / 1000
= 5 km
So, 5000 meters is equal to 5 kilometers.
The correct answer is 5 km.
Which expression completes the equation? 24 divided by 6 + 20=
Answers
The expression that completes the equation is 3(7+1).
To complete the equation "24 divided by 6 + 20,"
we need to perform the division first, and then add 20 to the result.
6 | 24 | 4
24
_____
0
Here, Divisor= 6, Remainder= 0 and Quotient= 4
So, 4 + 20 = 24
Then, the equivalent value is
3 (7+1)
= 3 x 8
= 24
Therefore, the expression that completes the equation is 3(7+1).
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The question attached here is incomplete, the complete Question is
Choose the expression that completes the equation.
24 ÷ 6 + 20 =______
2(7 + 10)
4(4 + 3)
3(7 + 1)
3(7 + 7)
to which subset of the real numbers does the number 1.68 belong?
a. rational numbers
b. natural numbers, whole numbers, integers, rational numbers
c. rational numbers, irrational numbers
d. none of the above ...?
Answers
The number "1.68" is: natural numbers, whole numbers, integers, rational numbers.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
a.rational number
Step-by-step explanation:
We are given that a real number 1.68
We have to find that given number belongs to which set
We know that
N={1,2,3...}
Whole numbers set ={0,1,2...}
Integers=Z={...-3,-2,-1,0,1,2,,,}
Rational number :That number which can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to zero ,p and q are belongs to integers.
Irrational number: That number which is not rational is called irrational number.
Hence, given number 1.68 belongs to rational numbers set.
Answer : a.rational number
2 cups (into mL of water
Answers
Answer:
about 473 mL
Step-by-step explanation:
For liquid measure, there are 16 cups in a US gallon, which is exactly 231 cubic inches. Each cubic inch is exactly 2.54³ = 16.387064 cubic centimeters--the same number of mL.
So, the exact conversion from cups to mL is ...
1 cup = (231/16)(16.387064) mL = 236.5882365 mL
Multiplying this by 2 gives ...
2 cups = 473.176473 mL
For many purposes, the nearest mL is sufficiently accurate:
2 cups ≈ 473 mL
The area of a rectangle is 70 square inches and the length of the rectangle is 3 inches longer than the width.
The area of a rectangle is found by multiplying the length times the width.
Which equation models this situation?
3w = 70
w(w+3)=70w(w+3)=70
w + 3 = 70
w + 3w = 70
Answers
Is 53 prime or composite
Answers
Answer:
it is prime
Step-by-step explanation:
Remember:
Prime numbers have 2 factors:
1
Itself
Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?
A.cubic feet
B.yards
C.square feet
D.square yards
Answers
Answer:
(C) Square feet
Step-by-step explanation:
In order to take the measurements, he should use the square feet unit of measure.
As, the cubic feet also known as unit of volume can be defined as the volume of the cube with sides of one foot in length. Since, the bathroom is two dimensional therefore, cubic feet can't be used.
Yards are basically a unit of length use to measure length and perimeter and square yards are used in measuring the long space and the bathroom is bit too small for it.
Therefore, square feet should be used to measure.
which fraction is not equivalent to 7/8
a 21/24 b 35/40 c 15/16 d 28/32
Answers
21/24 = 21 divided by 24 = 0.875
35/30 = 35 divided by 40 = 0.875
15/16 = 15 divided by 16 = *0.9375*
28/32 = 28 divided by 32 = 0.875
Answer=15/16 is not equivalent to 7/8.
Final answer:
Option c, 15/16, is the correct answer because it cannot be simplified to 7/8, making it not equivalent to 7/8, while the other options are equivalent after simplification.
Explanation:
The question asks us to identify which fraction is not equivalent to 7/8. To determine this, we need to compare each option with 7/8:
Option a: 21/24 can be simplified by dividing the numerator and the denominator by 3, which gives us 7/8, so this option is equivalent.Option b: 35/40 can be simplified by dividing the numerator and the denominator by 5, which gives us 7/8, so this option is equivalent as well.Option c: 15/16 cannot be simplified to 7/8 because when we divide both by their greatest common divisor, we do not get 7/8. Therefore, this fraction is not equivalent to 7/8.Option d: 28/32 can be simplified by dividing the numerator and the denominator by 4, which gives us 7/8, so this option is equivalent.Hence, the correct answer is option c, which is not equivalent to 7/8.
The math test has 10 multiple choice questions, each with 4 answers. If Betty guesses correctly on the first 2 questions, what is the probability that she will guess correctly on the third question?
Answers
Answer: The probability that she will guess correctly on the third question [tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
Given: The math test has 10 multiple choice questions, each with 4 answers.
To find probability that she will guess correctly on the third question, we need to just look at only one question which has 4 options and one of them is the right answer, thus probability of choosing the right answer from 4 option is the fraction of 1 over 4.
The probability that she will guess correctly on the third question
[tex]=\frac{\text{answer of a question}}{\text{total options of a question}}[/tex]
[tex]=\frac{1}{4}[/tex]
If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?
A) yes, by AA similarity criterion
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.
Answers
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Answer:
Option A is correct.
Yes, by AA similarity criterion
Step-by-step explanation:
AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In ΔBAC and ΔCED
[tex]\angle BAC = \angle CED = 17^{\circ}[/tex] [Angle] [Given]
[tex]\angle C = \angle C[/tex] [Angle] [Common angle]
Therefore, by AA similarity criterion;
[tex]\triangle BAC \sim \triangle CED[/tex]
Therefore, ΔBAC and ΔCED are similar by AA similarity criterion.
△ABC△ABC is similar to △XYZ△XYZ. Also, side ABside AB measures 6 cm, side BCside BC measures 18 cm, and side XYside XY measures 12 cm.
What is the measure of side YZside YZ ?
Answers
Answer:
36
Step-by-step explanation:
Convert the slope of -0.6 to a fraction in simplest form
Answers
Santa has lots of mixed up socks in his sack! If he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the minimum he needs to pull out of his sack to get a matching pair?
Answers
A car travels 180 miles north in 3 hours. What is the average velocity? Show your work and include units. Average velocity = distance/time. Know this equation for the test and how to calculate average velocity.
Answers
I hope I helped! :D
The change in position or displacement of an object in the time interval is known as average velocity of the object. The value of the average velocity is 60 miles per hour.
Given-
A car travels 180 miles north in 3 hours.
Average velocity- The change in position or displacement of an object in the time interval is known as average velocity of the object. It can be positive or negative depending upon the sign of the displacement.
[tex]\overline v=\dfrac{\Delta v}{\Delta t}[/tex]
Here [tex]\Delta v[/tex] is the change in displacement and [tex]\Delta t[/tex] is the change in time.
Use this formula to find the average velocity in the given formula we have to put the values velocity and time given in the question. Therefore,
[tex]\overline v=\dfrac{180}{3}[/tex]
[tex]\overline v=60[/tex]
Hence, the value of the average velocity is 60 miles per hour.
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What does -2 (3-y) equal to?!!