james can go 144 miles with 12 gallons of gas in his truck.how far can he go on 17 gallons?
Answer:
425 Miles
Explaination:
Please give the brainliest.
The graph of a linear function is given below.
f(x)
-8
8
What is the zero of the function?
OA. -3
OB. -
OC.
-
-2
6
6 +
2
2
6
N
a
00
X
The zero of the linear function is -2
How to determine the zero of the function?This is the point where the line of the equation crosses the x-axis
From the attached figure, the line cross the graph at:
x = -2
Hence, the zero of the function is -2
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ1
Look at the figure below: A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extend Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? a Triangle ABD and triangle ECD b Triangle ABC and triangle ECD c Triangle ABD and triangle ADC d Triangle ADC and triangle ABC
Answer:
Triangle ABD and triangle ECD (A)
Step-by-step explanation:
For two triangles to have a Side Angle Side Postulate, their corresponding sides and angle in the postulate must be equal.
To determine the pair of triangles that is congruent to the Side Angle Side Postulate let's check the options.
a) Triangle ABD and triangle ECD:
Looking at this two triangles, AB = EC
BD =CD
∠B = ∠D
Since the sides are and angle are equal, they are congruent
For the other options (b-d), you find that the corresponding sides of the two triangles and angle between them are not equal
b) Triangle ABC and triangle ECD
c) Triangle ABD and triangle ADC
d) Triangle ADC and triangle ABC
Answer:
Triangle ABD and triangle ECD (A)
Step-by-step explanation:
Got the answer.
At school, 588 students bought a school
shirt, and 147 students did not. What
percent of the students bought a school
shirt?
(7th grade math) PLZ HELP and show work
Answer:
80% bought a school shirt
Step-by-step explanation:
588+147=735. so 588/735 = 80%
find the equation of P
The equation of circle P include the following: D. x² + (y - 3)² = 4
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.By critically observing the graph of this circle, we have the following parameters:
Radius, r = 2 units.Center, (h, k) = (0, 3).By substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 3)² = 2²
x² + (y - 3)² = 4.
Read more on equation of a circle here: brainly.com/question/15626679
#SPJ1
A group of 6 friends of varying ages meets at a coffee shop and sits in a circle. What is the probability that the
youngest member of the group sits in the seat closest to the door?
Answer:
\(100.00 \div 6 \)
The probability that the youngest member of the group sits in the seat closest to the door 1 / 6
Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,
So, the probability = favorable outcomes / total outcomes
Here, the favorable outcome = 1
The total outcomes = 1, 2, 3, 4, 5, 6 = 6
So, the probability = 1/6 = 1/2
Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6
Learn more about probability click;
https://brainly.com/question/30034780
#SPJ2
How many elementary events are in the sample space of the experiment of rolling three fair coins? O2 09 O 8 6
80% of blank equal 36
Since switching to a new career, Mason has been making $71,134 annually. That is 30% less than he got paid in the past.
How much did Mason make then?
*
3. Determine which group of points are coplanar. *
T
S
0
IR
.
OF
D
А
B
R, B, D, Q
O Q, A, T, B
O T, C, D, S
Answer:Points, Lines, and Ang. A midpoint is a point that bisects, or divides, a line segment into two congruent pi. Point B is the midpoint of AC
Step-by-step explanation:
How do you step by step solve the equation n(n+2) = 0
Answer: n = 0 and -2
Step-by-step explanation:
Equate the expressions to zero
n(n+2) = 0
n = 0 and n+2 = 0
n = 0 and n = -2
Place the parenthesis to make the expression equal to the number behind the door and make 40
The right placement of the parentheses to obtain a value of 40 is 4 + (2 × 3)²
Given:
expression : 4 + 2 × 3²
Number behind the door = 40
Aim:
Expression = Number behind the door
Putting 2 × 3 in parentheses and taking the square of the product , we can write the expression thus :
4 + (2 × 3)² = 4 + (6)² = 4 + 36 = 40
Hence,
4 + (2 × 3)² = 40
Therefore, the required expression is 4 + (2 × 3)²
Learn more on equation ; https://brainly.com/question/2972832
#SPJ1
the faucet can fill the tub in 15 minutes. the drain can empty the tub in 20 minutes. how long will it take to fill the tub with drain open?
Using Tap working problem solving,
when faucet and drain working together, the time to fill up the tub is 60 minutes.
We have the following information about question,
The time taken by faucet to fill up the tub
= 15 minutes
The time taken by drain to empty the tub
= 20 minutes
we have to calculate the time in which the tub is fully fill the tube with drain open.
Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .
Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.
In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub
Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.
To learn more about Tap working problem , refer:
https://brainly.com/question/386986
#SPJ4
what is 18 divided by 1/10 as a fraction
Answer:
18/1 ÷ 1/10
make 1/10 a reciprocal(turning the fraction upside down) and multiply
18/1 x 10/1 = 180
Can you explain this the way to get this answer
Solution
For this case we have the following info :
l= 18.5 ft
D= 20 ft
r= 20/2 = 10 ft
The surface area is given by;
\(SA=\pi r(l)=\pi\cdot10ft\cdot(18.5)=581.194ft^2\)Then the answer is:
581 ft^2
Write the equation. Six more than twice a number is 16.
Answer:
16=6+2x
Step-by-step explanation:
Since two times an unknown number plus 6 equals 16, the equation would be 16=6+2x
if sin A=3/8 , find the value of cosec A-sec A
If sinA = 3/8, the value of cosec A - sec A is (72√55 - 440)/495
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
If sin A = 3/8
and SinA = opp/ hyp
opp = 3 and hyp = 8
using Pythagoras theorem
8² = 3²+adj²
adj = √ 8²-3²
adj = √64-9
adj = √55
cos A = √55/8
sec A = 1/CosA = 8/√55
cosec A = 1/sinA = 8/3
cosec A-sec A = 8/ √55 - 8/3
= (24-8√55)/3√55
= (72√55 - 440)/495
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
Han has 410000 in a retirement account that earns 15785 each year. Find the simplest interest
Han's retirement account earns $247,163.25 in simple interest.
To find the simplest interest, we need to use the formula:
Simple Interest = Principal × Rate × Time
In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:
Time = Simple Interest ÷ (Principal × Rate)
Plugging in the values, we get:
Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years
Therefore, the simplest interest is:
Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25
So Han's retirement account earns $247,163.25 in simple interest.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ1
Between which two whole numbers is the square root of 18?
Answer:
4 & 5
Step-by-step explanation:
4 x 4 =16
5 x 5 =25
So please answer................
Answer:
The answer is 3 ft
Step-by-step explanation:
3×9=27
Hope it helps :)
Determine whether the planes are parallel, perpendicular or neither. 2x â 4y + 3z = 5, x + 8y + 10z = 3
The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.
According to the given question.
We have two planes
2x - 4y + 3z = 5
and,
x + 8y + 10z = 3
Since, two planes are perpenicular if
\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)
Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.
And the two planes are parallel to each other if
\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)
Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3 and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10
Now,
2(1) + (-4)(8) + 3(10)
= 2 - 32 + 30
= 0
Since, the sum of the product of the direction ratios of the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.
Find out more information about perpendicular and parallel planes here:
https://brainly.com/question/19580509
#SPJ4
The time taken T (in seconds) for the length of rope R (in metres) to be rotated about a central point is given by the formula T = √8R\2.5
a) Make R the subject of the formula.
b) what is the length of rope if it takes 16 seconds for a single revolution?
c) what is the time taken for a rope of length 18 metres to complete a revolution? Answer correct to one decimal place.
Full working please <3
we have derived the formula T = √(8R/2.5) for the time taken for a rope of length R to be rotated about a central point, made R the subject of the formula, and used the formula to calculate the length of a rope that takes 16 seconds for a single revolution and the time taken for a rope of length 18 metres to complete a revolution.
How to solve questions?
a) To make R the subject of the formula, we need to isolate it on one side of the equation. We start by rearranging the formula:
T = √(8R/2.5)
Squaring both sides of the equation, we get:
T²= 8R/2.5
Multiplying both sides by 2.5, we get:
2.5T²= 8R
Finally, dividing both sides by 8, we get:
R = 2.5T²/8
Therefore, R is given by the formula R = 2.5T²/8.
b) To find the length of rope if it takes 16 seconds for a single revolution, we can substitute T = 16 into the formula we derived in part (a):
R = 2.5T²/8 = 2.5(16)²/8 = 100
Therefore, the length of the rope is 100 metres.
c) To find the time taken for a rope of length 18 metres to complete a revolution, we can again use the formula we derived in part (a), but this time we substitute R = 18:
T = √(8R/2.5) = √(8*18/2.5) = √(115.2) ≈ 10.7 seconds
Therefore, the time taken for a rope of length 18 metres to complete a revolution is approximately 10.7 seconds, rounded to one decimal place.
In summary, we have derived the formula T = √(8R/2.5) for the time taken for a rope of length R to be rotated about a central point, made R the subject of the formula, and used the formula to calculate the length of a rope that takes 16 seconds for a single revolution and the time taken for a rope of length 18 metres to complete a revolution.
To know more about revolution visit :-
https://brainly.com/question/16533738
#SPJ1
please help me!!
basic Radicals
Answer:
C)
Step-by-step explanation:
\(x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\\)
Both sides take square
\(x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}\)
The number of hours javier spwnds playing video games each week and his grade in algebra 1 showed a correlation coefficient of -0.949. It is therefore logical to expect that
Ink cartridges weigh 1/6 pound.The total weight of the cartridges in a box is 3 1/2 how many cartridges does the box contain
This box contains Cartridges
I need help on this fast it’s a text lol just need a lil help thanks
Answer:
there is 21
Step-by-step explanation:
you have to times six by three and then add three to that and there is your answer
Multiply.
2x³•5u•3u³x³
Simplify your answer as much as possible.
Answer:
the answer is 30x⁶u⁴
Step-by-step explanation:
because using law of indices, 3×5×2×x³+³×u³+²=30x⁶u⁴
I really need help with this guys
(p+8)^3
Answer:
Step-by-step explanation:
Karen and her family ate a meal at a cafe. She gave the waiter three dollars for a tip that amount was 1/5 of the total cost of the mill what was the cost of the meal
Therefore, the cost of the meal was $15.
Describe the dollar sign.
The dollar sign, also referred to as the peso sign, is a symbol that looks like a capital "S" crossed with one or two vertical strokes ($ or Cifro symbol ), and it's used to denote the unit of many different currencies around the world, including the majority of currencies denominated in "pesos" and "dollars." The Portuguese word for the specifically double-barred is cifro.
The sign is also present in a number of compound currency symbols, including those for the Nicaraguan córdoba (C$) and the Brazilian real (R$).
Let’s call the cost of the meal x.
Karen gave the waiter a tip of three dollars which is 1/5 of the total cost of the meal.
This can be written as:
3 = (1/5) * x
Multiplying both sides by 5 gives:
15 = x
To know more about pesos visit:
brainly.com/question/20709271
#SPJ1
How to work out 20% of £54
Answer:
£10.80
Step-by-step explanation:
20% = \(\frac{20}{100}\) = 0.2 , then
£54 × 0.2 = £10.80
problem 3: for the function f (w3, w2, w1) = m1 + m3 + m4 + m6, show how the function f can be implemented using a 3-to-8 binary decoder and what is the truth table of your decoder?
To implement the function f(w1,w2,w3) = Σ m(0, 2, 4, 5, 7) using a 3 to 8 binary decoder and an OR gate, we can connect the input lines w1, w2, and w3 to the A, B, and C inputs of the decoder, respectively.
To implement the given function f(w1,w2,w3) = Σ m(0, 2, 4, 5, 7), we first need to convert it into a truth table as follows:
w1 w2 w3 f
0 0 0 0
0 0 1 1
0 1 0 0
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 1
Here, the binary values of w1, w2, and w3 are listed in the first three columns, and the corresponding value of f is listed in the fourth column. The expression Σ m(0, 2, 4, 5, 7) indicates that the function f should be equal to 1 for the minterms 0, 2, 4, 5, and 7.
We can use a 3 to 8 binary decoder to implement this function as follows:
The input lines of the decoder are w1, w2, and w3.
The outputs of the decoder are eight lines labeled Y0, Y1, Y2, Y3, Y4, Y5, Y6, and Y7, each corresponding to one of the possible input combinations of w1, w2, and w3.
The output line corresponding to each minterm that evaluates to 1 is connected to the input of an OR gate.
The output of the OR gate is the output of the function f.
Specifically, we can connect the input lines w1, w2, and w3 to the decoder as follows:
w1 is connected to the A input of the decoder.
w2 is connected to the B input of the decoder.
w3 is connected to the C input of the decoder.
The eight outputs of the decoder are connected to the inputs of an OR gate as follows:
Y0 is not connected to the OR gate since it corresponds to the input combination 000, which is not a minterm in the function.
Y1 is connected to one input of the OR gate since it corresponds to the input combination 001, which is a minterm in the function.
Y2 is not connected to the OR gate since it corresponds to the input combination 010, which is not a minterm in the function.
Y3 is connected to one input of the OR gate since it corresponds to the input combination 011, which is a minterm in the function.
Y4 is connected to one input of the OR gate since it corresponds to the input combination 100, which is a minterm in the function.
Y5 is connected to one input of the OR gate since it corresponds to the input combination 101, which is a minterm in the function.
Y6 is not connected to the OR gate since it corresponds to the input combination 110, which is not a minterm in the function.
Y7 is connected to one input of the OR gate since it corresponds to the input combination 111, which is a minterm in the function.
The other input of the OR gate is connected to ground (or logic 0).
Learn more about 3-to-8 binary decoder here
brainly.com/question/28945040
#SPJ4