Answer:
Given that the question rightly asks the amount it cost to drive from Smithville to Jones City, we have;
The question rightly asks the amount it cost to drive from Smithville to Jones City is approximately $7.209
Step-by-step explanation:
The coordinates of Smithville is (-25, 10)
The coordinates of Jones City is (15, 12)
The cost of driving a car for a mile = $0.18
Therefore, the distance from Smithville to Jones City is given by the formula for the distance, l, between two points with coordinates as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (-25, 10) and (x₂, y₂) = (15, 12)
[tex]l = \sqrt{\left (12-10 \right )^{2}+\left (15-(-25) \right )^{2}} = 2 \cdot \sqrt{401}[/tex]
The distance from Smithville to Jones City = 2·√401 ≈ 40.05 miles
The amount, A, it cost to drive from Smithville to Jones City a distance of approximately 40.05 miles is therefore given as follows;
A = 40.05 miles × $0.18 ≈ $7.209
which answer makes the most Sense
y = x2 + 4x + 4
y = 2x + 7
How many solutions?
Answer:
2 solutions
Step-by-step explanation:
Given the 2 equations
y = x² + 4x + 4 → (1)
y = 2x + 7 → (2)
Substitute y = x² + 4x + 4 into (2)
x² + 4x + 4 = 2x + 7 ( subtract 2x + 7 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute these values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) + 7 = - 6 + 7 = 1 ⇒ (- 3, 1 )
x = 1 : y = 2(1) + 7 = 2 + 7 = 9 ⇒ (1, 9 )
The 2 solutions are (- 3, 1 ) and (1, 9 )
Write the equation of a line that passes through the point (-2,6) and is parallel to the line that passes through the points (0, – 4) and 3,2).
Answer:
Y = 9 + 2/3
Step-by-step explanation:
First, find the equation for the given points ((0, - 4) and (3, 2)). By graphing these points, I found that this equation was Y = -4 + 2/3.
Now, we can start to form the equation of the line you are trying to find. Because parallel lines must have the same slope, we know that the slope of the line will be 2/3. We can now use this slope to find the Y-intercept of the line. Add 2 to the X-coordinate and 3 to the Y-coordinate. By doing this you get the coordinates (0, 9). 9 is the slope of the second line.
Now we can make the equation you are trying to find. The answer is Y = 9 + 2/3 where 9 represents the Y-intercept and 2/3 represents the slope of the line.
Hope this helps! Let me know.
A colony of 15,000 bacteria doubles in size every 42 hours. What will the population be 84 hours from now?
Answer:
30,000
Step-by-step explanation:
You simply multipy the 15,000 by two since it is doubling. *4 is double of 42 which is why you would multiply by two.
Use the Pythagorean theorem to find the distance form Emma’s house to the pool
What are the measurements?
Answer:
C. 74 (I got it correct on USATestPrep)
Evaluate the function f(x)=3x-7if x=6
Answer:
if x=6, then f(6)=11
A line has a slope of 2/3 and passes through the point (-3, 8). What is the equation of the line?
O y=-2/3x+6
o y - 2/3x + 8
O y=6x-2/3
O y=8x-2/3
Answer: y = -2/3x + 6
Step-by-step explanation:
Help Asap please!
For the function f(x)=3x-2, what is the value of each expression below?
A. F(1)
B. F(9)
C. F(4)
D. F(0)
Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Who runs faster? And if Becca and Kimberly are 5 hours into a marathon, how far has each ran?
Answer:
both girls have ran 22.5 miles. But becca has ran faster
Step-by-step explanation:
What's the Answer to this algebra expression?
2k +6 =k
Answer:
K=-6
Step-by-step explanation:
2k+6=k
-6 -k
K=-6
Sam wants to take his drone on a car trip. An hour before they plan to leave, he realized that he forgot to charge the batteries last night. Drone's battery is at 25% and says it has 4.5 hours remaining. Which brand is Sam's battery most likely? How do you know?
Answer:
See explanation
Step-by-step explanation:
The question is incomplete..
The given parameters can only solve for the number of hours the battery can last if at full capacity.
Given
25% = 4.5 hours
Required
Determine the brand
First, we need to determine the full capacity (100%)
So, we have:
25% = 4.5 hours
100% = x
Cross Multiply
25% * x = 100% * 4.5 hours
Divide both sides by 25%
x = 4 * 4.5 hours
x = 18 hours
Hence, the battery at full capacity is 18 hours.
So, to answer the question, you need to check the given list of brands.
The brand closest to 18 hours answers the question
what is 5 squared times 2 over 6
Answer:
25/3
Step-by-step explanation:
5^2= 25 x 2= 50/6= 25/3
3/2 - (-1/4)
Help help help
Answer:
1.75, or 1 3/4
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
Exact Form:
7/4
Decimal Form:
1.75
Mixed Number Form:
1 3/4
Hope this helps
Plz mark brainliest
HELP!!!
Chan surveyed his neighborhood to find out what kinds of pets his neighbors owns. There are 3 neighbors with rabbits, 7 with cats, and 10 with dogs. Each neighbor owns only one pet.
What percentage of the neighborhood pet owners have cats?
3%
7%
35%
54%
Answer:
35% because I took a test and got it right and a 100
Step-by-step explanation:
Is it proportional? How do you know? (2 points)
what is ( − 2)( + 2)
Answer: -4
There are rules, just follow the rules
i need help you will received 90 points
Answer:
0.0000243
Step-by-step explanation:
Answer:
0.243
Multiply them and then write the answer in standard form
A number d is at most |−5|. Graph the solution on the number line.
Answer:
Graph Inequality on Number Line
Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?
Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.
If I got $200.00 and I spent $150.00. How many would there be?
pls help will mark brainlis
Exponents
5^2
4^2
8^2
7^2
3^2
9^2
12^2
Expound
5x5
4x4
8x8
7x7
3x3
9x9
12x12
Perfect square
25
16
64
49
9
81
36
144
Hope I helped you :)
Three hikers started climbing with each hiker carrying 7.8 kilograms of weight. A fourth hiker joined them and they divided the total weight of hiking equipment evenly. How much did each hiker have after the 4th person joined? (Round your answer to two decimal places)
Answer:
5.85 kilograms
Step-by-step explanation:
We are told that Three hikers started climbing with each hiker carrying 7.8 kilograms of weight.
Thus, total weight carried by them = 7.8 × 3 = 23.4 kilograms
Now a fourth person joined them and they divided the weight equally.
Thus, each hiker will now carry;
23.4/4 = 5.85 kilograms
SOMEONE HELP ME. PLEASE NOBODY HAS BEEN ANSWERING THIS
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{AB}{XY}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]
[tex]\frac{AC}{XZ}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
[tex]\frac{BC}{YZ}[/tex] = [tex]\frac{15}{25}[/tex] = [tex]\frac{3}{5}[/tex]
(b)
Fourth statement is correct one.
Since the ratios of corresponding sides are all equal, then
Δ ABC and Δ XYZ are similar
solve the system by substitution.
y=4x+3
y=7x
If 2(x+3)^2=98 find x in this equation.
Answer:
x= 4 or -10
Step-by-step explanation:
Answer:
x = - 10, x = 4
Step-by-step explanation:
Given
2(x + 3)² = 98 ( divide both sides by 2 )
(x + 3)² = 49 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 3 from both sides )
x = - 3 ± 7
Thus
x = - 3 - 7 = - 10
x = - 3 + 7 = 4
16 POINTS & BRAINLIEST WHOEVER ANSWERS FIRST!
Caroline's Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?
Answer:
Cost of the refill mug = $8.95
Cost of each refills = $1.50
Sean bought a mug for $8.95
No. of refills he bought = (26.95 – 8.95)/1.50
= 18 /1.50
= 12
He bought 12 refills.The employees from a government agency were asked whether they preferred a four-day work week (10 hours per day), a five-day work week (8 hours per day), or flexible hours. You are given information on the employees' responses broken down by gender. What proportion of employees is male and not in favor of a five-day work week?
Answer:
10%
Step-by-step explanation:
Using the data provided we are given the total number of people surveyed, which means we need to now find the total number of males that are not in favor of a five-day workweek. We do this by using the total of male participants and subtracting the number of male participants that are in favor of a five-day workweek
1800 (total) - 1200 (in favor) = 600
Now we know that 600 male participants are not in favor of a five-day workweek. Now we divide this number by the total amount of participants (both male and female) in order to find the percentage.
600 / 6000 = 0.1
0.1 * 100 = 10% ... multiply by 100 to get percentage.
Therefore only 10% of male participants are not in favor of a five-day workweek.
Four goats eat 8 tin cans in one hour. How long should it take 8 goats to eat 4 tin cans?
Answer:
15 minutes
Step-by-step explanation:
4 x 8 = 1 hour
with twice the goats and half the cans you divide by 4
A perfect score on a test with 25 questions is 100% Fred got a score of 68% make a division sentence using negative numbers where the quotient is the amount of questions Fred got incorrect
Please answer fast it’s important please!!
Answer:
He got wrong 8 questions
Step-by-step explanation:
2. Nancy's recipe calls for 7/8 cup of flour and 1/3 cup of sugar. How many
cups altogether?
Answer: 29/24
Step-by-step explanation:
change denominator to a common one, which is 24, then complete equation
A town's chamber of commerce printed a map of the buisiness district. The map is 12 inches square, and 1 inch on the map represents an actual distance of 300 feet. A larger version of the same map of the business district is printed with the side length of %50 longer than the side length of the previous map. On the larger map, what is the actual distance ,in feet, represented by 1 inch?
On the larger map, 1 inch represents an actual distance of 300 feet.
In the original map, 1 inch represents an actual distance of 300 feet.
Since the map is 12 inches square, the side length of the map is 12 inches. Therefore, the actual distance represented by the entire map is 12 inches * 300 feet/inch = 3600 feet.
In the larger version of the map, the side length is 50% longer than the original map. This means the side length of the larger map is 12 inches + (50% * 12 inches) = 12 inches + 6 inches = 18 inches.
To determine the actual distance represented by 1 inch on the larger map, we can set up a proportion:
12 inches (original map) corresponds to 3600 feet (actual distance)
1 inch (larger map) corresponds to x feet (actual distance)
Using cross-multiplication, we find that x = (1 inch * 3600 feet) / 12 inches = 300 feet.
1 inch on the larger map represents an actual distance of 300 feet.
For more such questions on actual distance
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