Answer:
86.4 km
Step-by-step explanation:
Since the cyclist travels 1.8km in a minute, he will travel 48 times that in 48 minutes:
[tex]48*1.8 = 86.4[/tex]
what are the solutions of 2x^2-6+5=0 ?
[tex]
2x^2-6+5=0 \\
2x^2-1=0 \\
2x^2=1 \\
x^2=\frac{1}{2} \\
x=\pm\frac{1}{\sqrt{2}}
[/tex]
You may also want to rationalise the denominator, to do so multiply fraction by [tex]\sqrt{2}[/tex] to get [tex]x=\pm\frac{\sqrt{2}}{2}[/tex].
Hope this helps.
The sum of two numbers is thirty seven. Using x to represent the larger of two numbers, translate “the difference between nine more than twice the larger number and the sum of the smaller number and three” into a variable expression
Two numbers = 37
Larger number is x, so the smaller number is 37 - x:
x + (37 - x) = 37
“The difference” is subtraction, so we are subtracting the smaller and larger number.
“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:
-(37 - x) = -37 + x
We then simplify:
9 + 2x - 37 + x + 3 (subtract 3)
9 + 2x - 34 + x
-25 + 2x + x (subtract 8 and 34 then add 2x and x)
-25 + 3x
The variable expression for the given problem, where x is the larger number and the sum of two numbers is thirty-seven, is 2x + 9 - (37 - x + 3).
The student is asking to translate a word problem into a variable expression. The problem states that the sum of two numbers is thirty-seven and defines the larger number as x. We want to find the expression for "the difference between nine more than twice the larger number and the sum of the smaller number and three". Knowing that the sum of the two numbers is thirty-seven, we can represent the smaller number as 37 - x. Therefore, the expression would be 2x + 9 - (37 - x + 3).
Write a word problem that can be solved using the equation 0x4=0. Then solve
The given mathematical equation, 0x4=0, can be turned into a word problem concerning a person with no money multiplying his funds. The result, as the equation suggests, is still no money, demonstrating that anything multiplied by 0 equals 0.
Explanation:Let's create a word problem for the equation 0x4=0. Suppose Jack has no money (0 dollars) and he multiplies his money by 4. How much money does Jack have now? The equation to represent this situation is 0x4=0. That is, 0 (Jack's money) times 4 equals 0. So, Jack still has no money. This shows that anything multiplied by 0 is always 0, a fundamental rule in mathematics.
Learn more about Multiplying by Zero#SPJ2
Final answer:
To solve the word problem, we can use the equation 0x4=0. The solution is x = 0, which means that all the marbles will be left in the bag.
Explanation:
Solving a Word Problem using the Equation 0x4=0
Let's say we have a bag of marbles, and we want to find out how many marbles are left if we take 0 out of 4 marbles. To solve this problem, we can use the equation 0x4=0. According to the equation, no matter how many marbles we take (which is represented by 0), the result will always be 0. This means that in our case, all the marbles will be left in the bag, and none will be taken out.
Solution:
x = 0
A suit with an original price of $300 was marked down 30%. You have a coupon good for an additional 20% off. What is the suits final cost?
The suit's final cost after a 30% markdown and an additional 20% off coupon is $168.
Explanation:To find the suit's final cost, we first calculate the price after the 30% markdown. Subtracting 30% of $300 gives us: $300 - ($300 x 0.30) = $210. Next, we apply the additional 20% off coupon. Subtracting 20% of $210 gives us: $210 - ($210 x 0.20) = $168. Therefore, the suit's final cost is $168.
Learn more about Calculating Final Cost here:https://brainly.com/question/29138103
#SPJ2
Find the LCM of the pair of numbers. 6 and 9 The LCM is .
Answer:
So the LCM of 6 and 9 is 18.
Step-by-step explanation:
List the factors of both numbers.
6: 6, 12, 18, 24, 30, 36,
9: 9, 18, 27, 36
The LCM of 6 and 9 is found by prime factorizing each number and taking the highest power of each prime that appears, resulting in an LCM of 18.
To find the LCM (Least Common Multiple) of the pair of numbers 6 and 9, we first need to prime factorize each number. The number 6 can be prime factorized as 2 times 3, and 9 can be prime factorized as 3 times 3 or 3². In order to find the LCM, we take the highest power of each prime number that occurs in the factorization of both numbers. So, we take 2 from the factorization of 6 (since it's the highest power of 2) and 3² from the factorization of 9 (since it's the highest power of 3), and multiply them together to get the LCM.
The LCM of 6 and 9 is 2 times 3² = 2 times 9 = 18.
Thus, the Least Common Multiple of 6 and 9 is 18.
What is a dependent variable in algebra
Answer:
A dependent variable is when it's variable depends on independent variable
please hurry, i don’t need an explanation
Sasha has 20 starbursts in a bag, 8 are yellow, 6 are pink, 4 are red, and
2 are orange. Sasha will randomly select two starbursts from the bag
with no replacement. What is the probability that she will select
yellow starburst and then a red starburst? (give your answer as a
fraction in a reduced form)
Answer:
D
Step-by-step explanation:
Answer: Helping a fellow teen in need. I got you. lol. It's most likely A. Good luck miss Isabella
Step-by-step explanation:
Which box will require less material? A 10x10x3 inches or 8x3x11 inches
Answer:
the 8×3×11 one
Step-by-step explanation:
we need to find the surface area of each.
[tex]2(lw + hl + hw)[/tex]
for the 10×10×3=
2(10×3+10×10+10×3)
2(30+100+60)
2(190)
380
for the 8×3×11
2(8×3+11×8+11×3)
2(24+88+33)
2(145)
290
9(x + y) = 9x + 9y what algebraic property is that
Answer:
its a desperctive property
Step-by-step explanation:
RSM QUESTION NEED HELP!!!!!! A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is bad, he travels 6 miles per hour slower, and it takes him half an hour more. How far is his work from his house?
=======================================
Work Shown:
d = distance from work to his house
x = speed when weather is good
y = speed when weather is bad
y = x-6 since he travels 6 mph slower
------------------------
On a good weather day, he travels for 4 hours and goes at x mph
distance = rate*time
d = r*t
d = x*4
d = 4x
----------------------
On a bad weather day, he travels 4.5 hours (half hour more than 4 hrs) and goes at y = x-6 mph
d = r*t
d = y*4.5
d = 4.5y
d = 4.5(x-6) .... replace y with x-6
d = 4.5x-27 .... distribute
----------------------
The values of d for both equations are the same, as the biker is traveling the same distance. So we can equate the two right hand sides (RHS) and solve for x.
4.5x-27 = 4x
4.5x-4x = 27
0.5x = 27
x = 27/0.5
x = 54
The biker's speed on a good weather day is 54 mph.
A bad weather day's speed would be y = x-6 = 54 - 6 = 48 mph.
----------------------
Now compute the value of d
d = 4x
d = 4*54
d = 216
The biker travels 216 miles on a good weather day
or,
d = 4.5*y
d = 4.5*48
d = 216
the biker travels that same distance on a bad weather day.
Help ASAP with these
Answer:
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Step-by-step explanation:
Given:
AD ≅ BC and AD || BC
To Prove:
ABCD is a Parallelogram
Proof:
Alternate Interior Angles Theorem :
"When two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Here AD || BC and the transversal is AC
Statement Reasons
1. AD ≅ BC . 1. Given
2. AD || BC 2. Given
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
Therefore the correct assembling is
3.∠DAC ≅ ∠BCA 3. Alternate interior Angles are Equal as AD || BC.
What happens to the acidity of solutions A and B after
dry ice is added?
Acidity Changes after Dry Ice is Added
Timesec)
PM of Solution pH of Solution
The pH of solution A decreases, and the pH of
solution B increases.
8.5
The pH of solution A increases, and the pH of
solution B decreases.
The pH of solution A increases, and the pH of
solution B increases
8.0
102
72
The pH of solution A decreases, and the pH of
solution B decreases
9.6
6.5
90
I have to wake up at 5am and it’s 11pm can someone please help me with this so I can go to bed please
Answer:
the 11th week.
Step-by-step explanation:
the expression for the markdown on the 8th week is p-.15p=.85p since it will get marked down 15% on the 8th week. the expression for the additional markdowns is p-.05p=.95p since it will get marked down an additional 5% every week after the 8th week.
On the 8th week it will be marked down to .85(150) = 126.50.
9th week: .95(127.50) = 121.13
10th week: .95(121.13) = 115.07
11th week: .95(115.07) = 109.32
109 is under 110 therefore it is the 11th week.
A car drives 195miles in 3hrs and 15mins what’s the average speed of the car
Answer:
60
Step-by-step explanation:
195mi / 3.25hr = 60 mi/hr60
Answer: 0.0166666666 recurring
Mph
Step-by-step explanation:
Find the exact length of the third side.
Answer:
√41 or 6.40
Step-by-step explanation:
Pythagorean theorem:
a² + b² = c²
The third side is considered the hypotenuse (c²).
a² and b² will be represented by the legs.
a² = 4²
b² = 5²
c² = c²
4² + 5² = c²
16 + 25 = c²
31 = c²
√41 = c
[tex]\displaystyle\bf\\\textbf{A third side is hypotenuse.}\\\\The~length~of~the~hypotenuse=\sqrt{cat1^2+cat2^2}~~~(T.Pithagoras)\\\\The~length~of~the~hypotenuse=\sqrt{4^2+5^2}=\sqrt{16+25}=\boxed{\bf\sqrt{41}}[/tex]
a taxi driver earns $9 per 1 hour work. if he works 10 hours a day and in 1 hour he uses 2-liters petrol with price $1 for 1-liter. how much money does he earn in one day?
a. 90
b. 88
c. 70
d. 60
Final answer:
The taxi driver earns $70 in one day after deducting the cost of petrol from his gross income.
Explanation:
To calculate the taxi driver's earnings, we need to consider his hourly wage, the number of hours worked, and the cost of petrol used during the day. The driver earns $9 per hour and works for 10 hours a day. Thus, his total gross income for the day is $90 (9 dollars/hour times 10 hours). However, he also uses petrol for which he incurs a cost. He uses 2 liters per hour, and since petrol costs $1 per liter, he spends $2 per hour on petrol. Over 10 hours, he thus spends $20 on petrol (2 dollars/hour times 10 hours). To find his net earning, we subtract the petrol cost from the gross income: $90 - $20, which equals $70.
What is the distance between (8, -3) and (4, – 7)?
Answer:
4
Step-by-step explanation:
using
[tex] \sqrt{(x2 - x1) + (y2 - y1)} [/tex]
[tex] \sqrt{(8 - 3) + (4 - ( - 7)} [/tex]
[tex] \sqrt{5 + 11} [/tex]
[tex] \sqrt{16} [/tex]
[tex] = 4[/tex]
Answer:
[tex]\sqrt36[/tex]
Step-by-step explanation:
I got it right on the test
N
In A FEG
point H is between points E and F. point J is between points
EH = 12, HF= 28, and FG = 50.
What is FJ?
Hint: Draw your triangle and enter values before writing and solving proportion.
OFJ = 35
O FJ = 12
OF) = 28
FJ = 50
O
Answer:
[tex]FJ=35\ units[/tex]
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles FEG and FHJ are similar by AA Similarity Theorem
see the attached figure to better understand the problem
so
[tex]\frac{FJ}{FG}=\frac{FH}{FE}[/tex]
we have
[tex]FG=50\ units\\FH=28\ units\\FE=HF+EH=28+12=40\ units[/tex]
substitute
[tex]\frac{FJ}{50}=\frac{28}{40}[/tex]
[tex]FJ=\frac{28}{40}(50)[/tex]
[tex]FJ=35\ units[/tex]
Bill works in a hardware store. sixteen hours represent 40% of bills work week. How many hours does bill work in one week?
A prize bag contains four country music CDs, eight pop music CDs, and five classic rock CDs.
What is the probability of pulling out a classic rock CD and then, without replacing it, pulling out a country music CD? Express your answer in decimal form, rounded to the nearest hundredth.
0.03
0.07
0.15
0.18
Answer:
B. 0.07
Step-by-step explanation:
was correct, have a wonderful day!
Using it's concept, it is found that there is a 0.07 = 7% probability of getting the desired combination.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
5 out of 17 CD's are classic rock.Then, without replacing it, 4 out of 16 will be country music CD's.Hence, the probability is given by:
[tex]p = \frac{5}{17} \times \frac{4}{16} = 0.07[/tex]
0.07 = 7% probability of getting the desired combination.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
what is 1/4 + 3/7? please explain how to solve it.
Answer: 19/28
Step-by-step explanation: Notice that 1/4 and 3/7 are unlike fractions. Our first step when adding unlike fractions is to get a common denominator.
The common denominator of 4 and 7 will be the least common multiple of 4 and 7 which is 28.
To get a 28 in the denominator of 1/4, we multiply the numerator and the denominator by 7 which gives us 7/28.
To get a 28 in the denominator of 2/7, we multiply the numerator and the denominator by 4 which gives us 12/28.
Now to add like fractions or fractions that have the same denominator, we simply add the numerators and keep the original denominator.
So here, we have 7 + 12 which is 19 and we put this over our original denominator which is 28.
So, 1/4 + 3/7 = 19/28.
PLEASE HELP
f(x) = x^2 -2x + 3 g(x) = x^3 - x^2 + 4x find f(x) + g(x)
Answer:
A
Step-by-step explanation:
f(x) + g(x)
= x² - 2x + 3 + x³ - x² + 4x ← collect like terms
= x³ + 2x + 3 → A
Isabella has a bag containing 14 nickels and quarters. The total value of these coins is 2.50$
Answer:
If it contains 14 nickels and 14 quarters then it would actually be $4.20 in total.
Step-by-step explanation:
Solve for x (x+4)7/3=128
Answer: User got this. x=50+6/7 is the Answer.
Step-by-step explanation:
Step 1) Move all terms to the left:
(x+4)7/3-(128)=0
2) Multiply all the terms by the denominator
(x+4)7-128*3=0
3) Add all the numbers together, and all the variables
(x+4)7-384=0
4) Multiply parentheses
7x+28-384=0
5) Add all the numbers together, and all the variables
7x-356=0
6) Move all terms containing x to the left, all other terms to the right
7x=356
x=356/7
x=50+6/7
your brother traveled 200 miles in 4 hours to come home from school party. what's the average speed that he was traveling?
Jefferson High School has an enrollment
of 1,864 students. In May, 564 students will
graduate. How many students will be enrolled
after graduation?
Final answer:
After subtracting the 564 graduating students from the total enrollment of 1,864 students at Jefferson High School, there will be 1,300 students enrolled after graduation.
Explanation:
To determine how many students will be enrolled at Jefferson High School after graduation, we simply subtract the number of graduating students from the total enrollment.
Total enrollment before graduation: 1,864 studentsNumber of students graduating: 564 studentsNumber of students after graduation = Total enrollment - Number of students graduatingNumber of students after graduation = 1,864 - 564 = 1,300 studentsTherefore, after graduation, Jefferson High School will have 1,300 students enrolled.
Which is least to greatest 1/4,6/7 or 3/5
ANSWER :
In order from least to greatest, it is 1/4, 3/5, 6/7
Step-by-step explanation:
If you make them all decimals, 1/4 is .25, 6/7 is around .8, and 3/5 is .6. In order form least to greatest, that is .25, .6, .8. That would mean in fraction form it is 1/4, 3/5, 6/7.
A math class has 5 girls and 5 boys in the seventh grade and 5 girls and 7 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both girls? Write your answer as a fraction in simplest form.
Final answer:
The probability that the students selected are both girls is 5/24.
Explanation:
To find the probability that both students selected are girls, we need to calculate the probability of selecting a girl from the seventh grade and a girl from the eighth grade and then multiply those probabilities together.
The probability of selecting a girl from the seventh grade is 5 girls out of 10 students, which can be expressed as 5/10 or 1/2.
The probability of selecting a girl from the eighth grade is 5 girls out of 12 students, which can be expressed as 5/12.
To find the probability of both events happening, we multiply the probabilities together: (1/2) * (5/12) = 5/24.
Therefore, the probability that the students selected are both girls is 5/24.
1.5x=3 whats the answer
Answer:
To find the value for x you need to get x by itself
To do this we need to do the opposite of what it is showing
1.5 times x the opposite would be dividing
So we need to divide 1.5 from each side (what you do to one side you do to the other)
1.5x/1.5=x (x is now by itself)
3/1.5=2
x=2
Hope this helps ;)
A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Deshaun chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is green and the second is red?
Answer:
Step-by-step explanation:
Total marble = 10
No. Blue = 6
No. Red = 2
No. Green = 2
Prob(1st Green) = 2/10 = 1/5
Now there are 9 marble left because it is not replaced back
Prob(2nd Red) = 2/9
Prob(1st green and 2nd red)
=1/5×2/9 = 2/45