Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 240 miles?
Answer:
34
Step-by-step explanation:
ok so first you need to divide 144 by 12 = 12
then you need to figure if you split that in half it equals 6.
now we know that for every 12 miles you drive, you need 1 gallon of gas
now you need to divide 240 by 6 = 40
so you will need 40 gallons of gas to drive that far
we are not one yet, then you need to take away 6 from 40 witch comes to 34.
so you will need 34 more gallons of gas
please give brainleist!!!!
Answer:
Same Gas
Step-by-step explanation:
A = {1,4,5,7}
B = {1,7,9,12}
Find A ∩ B.
A) {1,4,5,7,9,12}
B) {1,7}
C) {1}
D) {7}
Answer:
B)
Step-by-step explanation:
A ∩ B means all the elements that appear in both of the groups
therefore:
1 nad 7 appear in both
the correct answer is B) 1 and 7
Answer:
pretty sure it A many people said B was wrong
Step-by-step explanation:
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies?
Answer:
1. 10 singles. 2. One package of 6 and 4 singles. 3. One package of 6 and one package of 4. 4. Two packages of 4 and 2 singles 5. One package of 4 and 6 singles.
Step-by-step explanation:
There are 5 ways in which 10 cookies can be sold in singly or in packages of 4 or 6.
Given that,
cookies are sold singly or in packages of 4 or 6. with this packaging, how many ways can you buy exactly 10 cookies is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Ways in which exactly 10 cookies can be sold,
= {10 cookies singly, pack of 4 cookies and 6 cookies singly, pack of 4 and pack of 6, 4 cookies singly and a pack of 6 and 2 pack of 4 and two cookies singly,}
= 5 ways
Thus, there are 5 ways in which 10 cookies can be sold in single or in packages of 4 or 6.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
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Which fraction is equivalent to
6
8
?
Answer:
3/4
Step-by-step explanation:
Step 1: Simplify
6/8 is same as (6/2) / (8/2)
3 / 4
Answer: 3/4
Answer:
12/16, 18/24 24/32 etc.
Step-by-step explanation:
6×2/8×2=12/16, 6×3/8×3=18/24, 6×4/8×4=24/32 and so on. If you keep multiplying the numerator and denominator of the original fractions by natural numbers, the results are equivalent fractions.
Will give brainlest
g(-5)=?
Answer:
-6
Step-by-step explanation:
g(-5) is the value of function g at x value -5
the graph shows the point (-5,-6), so g(-5)=-6
Answer:
-6
Step-by-step explanation:
Missing fraction
blank + 1/16 = 3/2
Final answer:
To solve for the missing fraction in the equation blank + 1/16 = 3/2, convert 3/2 to a fraction with a denominator of 16 to give 24/16. Then, subtract 1/16 from 24/16 to get the missing fraction, which is 23/16.
Explanation:
To find the missing fraction in the equation blank + 1/16 = 3/2, we first need to express 3/2 with the same denominator as 1/16 to facilitate addition. The common denominator for 16 and 2 is 16, so we can rewrite 3/2 as 24/16 (since 3 × 8 = 24 and 2 × 8 = 16). Our equation now is blank + 1/16 = 24/16. To solve for the missing fraction (blank), we subtract 1/16 from 24/16, which gives us 23/16.
Example:
Rewrite 3/2 as 24/16
Subtract 1/16 from 24/16 to find the missing number
The missing fraction is 23/16
This method demonstrates how to find a missing fraction by creating a common denominator and then subtracting to isolate the missing number.
Can you help me please?
A wooden bean 6 meters long leans against a wall and makes an angle 71 degrees with the ground. How high up the wall, to the nearest meter, does the beam reach?
Trigonometry
Answer:
The far of reaching the wall
24 71
=69.70106106ft
Step-by-step explanation:
The wooden beam reaches a height of 6 meters on the wall.
Explanation:To find the height of the beam on the wall, we can use trigonometry.
The given angle is 71 degrees and the length of the beam is 6 meters.
We can use the sine function to find the height. The formula is: height = length * sin(angle).
height = 6 * sin(71)
Using a calculator, we find that the height is approximately 5.753 meters.
Rounding to the nearest meter, the beam reaches a height of 6 meters on the wall.
Learn more about Trigonometry here:https://brainly.com/question/11016599
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What is the measure of arc HI?
Answer:
D. 62˚
Step-by-step explanation:
A rectangular prism has a length of 4 1/2, a width of 4 1/2 and a height of 6. Sally has a storage container for the prism that has A volume of 143 cubic. What is the difference between the volume of the prism and the volume of the storage container
Question:
A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters.
Sally has a storage container for the prism that has a volume of 143 cubic millimeters.
What is the difference between the volume of the prism and the volume of the storage container?
Answer:
The difference between the volume of the prism and the volume of the storage container is 21.5 cubic millimeter
Solution:
Volume of rectangular prism is given as:
[tex]volume = length \times width \times height[/tex]
From given,
[tex]length = 4\frac{1}{2} = \frac{9}{2}\ mm\\\\width = 4\frac{1}{2} = \frac{9}{2}\ mm\\\\height = 6\ mm[/tex]
Therefore,
[tex]volume = \frac{9}{2} \times \frac{9}{2} \times 6 = 121.5\ mm^3[/tex]
Sally has a storage container for the prism that has a volume of 143 cubic millimeters
What is the difference between the volume of the prism and the volume of the storage container
Difference = 143 - 121.5 = 21.5
Thus difference between the volume of the prism and the volume of the storage container is 21.5 cubic millimeter
8 g + 10 = 35 + 3 g
Answer:
g = 5
Step-by-step explanation:
8 g + 10 = 35 + 3 g
in order to get the value of g, firt of all rearrange the expression or in ither words collect the like terms.
8 g + 10 = 35 + 3 g
8g + 10 - 3g = 35
NOTE; when you are moving a number with positive sign across the equal to = sign the positive changes to negative and same thing applies to the negative sign it changes to positive sign.
we have;
8g -3g = 35 - 10
5g = 25
divide both sides by 5
5g/5 = 25/5
g = 5
Identify the Domain and Range of the graph below:
PLEASE HELP I WILL GIVE BRAINLIST!
Answer:
-2.5<x<2.5
Step-by-step explanation:
Which type of sequence is shown ?
-2,0,2,4,6
Answer:
D arithmetc
Step-by-step explanation:
i think
Given a circle U which has a center at coordinates (1,3) and a point on its circumference at (2, 2), what is the area of the circle?
Answer:do anyone know the answer yet
Step-by-step explanation:
Using FOIL method. Multiply the terms. (X^2 -7)(x^2 -4)
Answer:
x^4-11x^2+28
Step-by-step explanation:
Set it upx^2(x^2-4) -7(x^2-4)
2. Multiply
x^4-4x^2-7x^2+28
3. Simplify
x^4-11x^2+28
0.125 to the nearest thousandth
Answer:
5 SHOULD BE THE ANSWER SORRY FOR ALL CAPS
Answer:
5
Step-by-step explanation:
0 is lower than 5 so your number would stay the same
PLEASE ANSWERRRR
What type of association does this graph have?
A. Positive
B. None
C. Negative
D. All of the above
Answer:
positive
Step-by-step explanation:
If the variables tend to increase and decrease together, the association is positive.
hope this helps :)
What is the perimeter of triangle ABC?
Answer: 24 units.
Step-by-step explanation: Count out how many units long AB is. AB goes from -3 to 3, for a length of 6 units.
Count out how long AC is. AC goes from 4 to -4, for a length of 8 units.
To find BC, use the Pythgorean theorem (a^2+b^2=c^2). 8^2 is 64, and 6^2 is 36. Add 64 and 36 to get 100. Then find the square root of 100, which is 10.
Add all the lengths. 6+8+10=24.
Mary mixes white paint and blue paint in the ratio 2:3
She makes a total of 20 litres of paint.
How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?
Given:
Ratio of white and blue paint is 2:3
Total quantity of paint is 20 litres
To find:
Quantity of blue paint to be mixed so that the ratio of white paint to blue paint becomes 1:7
Solution:
The ratio 2:3 totals 20 that is [tex]2x+3x=20\rightarrow5x=20\rightarrow x=4[/tex]
So, the quantity of white paint in the mixture is [tex]2\times4=8[/tex] and the quantity of blue paint in the mixture is [tex]3\times4=12[/tex]
Now, to get the final ratio as 1:7, Mary should have [tex]7\times8=56 \text{ litres }[/tex] of blue paint. So, she need to add [tex]56-12=44 \text{ litres}[/tex].
Therefore, Mary has to add 44 litres of blue paint to the mixture to make the ratio as 1:7.
A cyclist can cover a distance of 18 miles in 45 minute. How many miles the cyclist can cover in 6 hours?
First, lets find how many miles the cyclist can ride per minute (speed = distance/time).
18/45 = 0.4 miles per minutes
Second, lets find how many miles the cyclist can ride per hour.
0.4 * 60 = 24 miles per hour
Third, lets find how many miles teh cyclist can ride in 6 hours.
24 * 6 = 144 miles in 6 hours
Best of Luck!
Please help this is hard
Answer:
x = 10
Step-by-step explanation:
130 = 8x + 50
Step 1: Solve for x
130 - 50 = 8x + 50 - 50
80 / 8 = 8x / 8
10 = x
Answer: x = 10
Answer:
x=10
Step-by-step explanation:
8x+50=130
8x=80
x=10
Find the least common multiple of these two expressions.
4v^7 w^5 and 10v^2w^4y^8
Answer:
20v^7w^5y^8.
Step-by-step explanation:
The LCM of 4 and 10 is 20.
of v^7 and v^2 is v^7
of w^5 and w^4 is w^5
So the answer is 20v^7w^5y^8.
What is the range of y = –5sin(x)? all real numbers Negative 5 less-than-or-equal-to y less-than-or-equal-to 5 all real numbers Negative five-halves less-than-or-equal-to y less-than-or-equal-to five-halves all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1 all real numbers Negative one-fifth less-than-or-equal-to y less-than-or-equal-to one-fifth
Answer:
The range of given function is
[tex][-5,5][/tex]
Step-by-step explanation:
We are given the function:
[tex]y = -5\sin(x)[/tex]
We have to find the range of the given function.
Range of function
Range is the collection of all possible values of y for the domain of function.Range of basic sine function is
[tex]-1\leq \sin(x) \leq 1[/tex]
Multiplying the range by -5
[tex]5\geq -5\sin(x) \geq -5[/tex]
Thus, the range of given function is
[tex]-5\leq -5\sin(x) \leq 5[/tex]
[tex]-5\leq y\leq 5[/tex]
Thus, the range of given function is
[tex][-5,5][/tex]
The attached image shows the graph for the given function.
All real numbers {y | − 5 ≤ y ≤ 5 }
Step-by-step explanation:
Write 6-1 as a fraction.
Answer: 5/1
Step-by-step explanation:
6-1=5
put that under 1 to make the fraction 5/1
I'm unsure if this is correct, but I assume the answer shall be:
6-1/1, Both numbers are whole numbers. So, as a fraction, whole numbers are put over 1. So 6 minus 1 over 1. (Sorry if this is incorrect.)
John is saving $6 a week. He has already saved $28. How many weeks will it take John to reach his goal of $100?
Answer:
12 weeks
Step-by-step explanation:
If John is aiming to save $100, with $6 a week and he has already saved $28. The leftover amount to be saved is $100 - $28 = $72
In one week → $6
2 weeks → $12
3 weeks → $18
and so on..
[tex]\frac{72}{6} = 12[/tex]
John will need 12 more weeks to save a total of $100.
15(x-3) over 5 = 3(2x-3)
What is X?
Answer:
x=0
Step-by-step explanation:
Answer: x= infinite solutions
there are infinite solutions and when graphing it shows you that they are together they are infinte solutions
Step-by-step explanation:
15(x-3)/5=3(2x-3)
15(x-3)/5=6x-9
*5 *5
15(x-3)=30x-45
15x-45=30x-45
-15x -15x
-45=15x-45+45
+45
0=15x
0/15=x
0=x
{PLEASE ANSWER QUICKLY!}
Graph y= –7/3x+2 .
Answer:
graph is linked!
hope this helps :)
Eric needs to order programs for the next school football game. Only 1 out of 2 people will buy a program for the game. If there will be 900 people at the game and programs come in boxes of 50, how many boxes of programs should Eric order?
Answer:
Eric should order 9 boxes of programs.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of buying a program for the game = 1/2
Number of people at the game = 900
Number of programs per box = 50
2. How many boxes of programs should Eric order?
Let's calculate the answer this way:
Number of programs required for the next football game = Probability of buying a program for the game * Number of people at the game
Replacing with the values given, we have:
Number of programs required for the next football game = 1/2 * 900
Number of programs required for the next football game = 450
Now, we can calculate he number of boxes, this way:
Number of boxes of programs Eric should order = Number of programs required for the next football game /Number of programs per box
Replacing with the values given, we have:
Number of boxes of programs Eric should order = 450/50
Number of boxes of programs Eric should order = 9
what would the slope of y= -2/5x + 4 be and how can it be broken down for me to understand?
Answer:
So, the slope is the number attached to the x.
In this case the slope is -2/5.
Example: y = 5x + 3
In this case, the slope is 5 because it is the number attached to the x.
HOPE THIS HELPS :)
The sum of two numbers is 47 and the difference is 19. What are the numbers?
Answer: The two numbers are 33 and 14
Step-by-step explanation: We shall start by first assigning letters to unknown variables. Therefore let the two numbers be called a and b. The first clue in this question states that the sum of both a and b equals 47. That means we can write the expression;
a + b = 47.
The second clue states that their difference equals 19. This also can be expressed as follows;
a - b = 19
Now we have a pair of simultaneous equations which are
a + b = 47 ———(1)
a - b = 19 ———-(2)
We shall use the substitution method. Therefore from equation (1), make a the subject of the equation.
a = 47 - b
Next we substitute for the value of a in equation (2)
a - b = 19
47 - b - b = 19
47 -2b = 19
By collecting like terms we now have 47 - 19 = 2b
28 = 2b
Divide both sides of the equation by 2
14 = b
We can now substitute for the value of b into equation (1)
a + b = 47
a + 14 = 47
Subtract 14 from both sides of the equation
a = 33.
Therefore the two numbers are 33 and 14.
The two numbers with a sum of 47 and a difference of 19 are 33 and 14. We found this by setting up two equations based on the given information and solving for the two variables.
Explanation:The sum of two numbers is 47 and the difference is 19. To find these two numbers, we can set up a system of equations and solve them. Let the numbers be x and y.
x + y = 47 (equation 1)x - y = 19 (equation 2)Adding both equations, we get 2x = 66, hence x = 33.
Substituting x in equation 1, we get 33 + y = 47, hence y = 47 - 33 = 14.
Therefore, the two numbers are 33 and 14.