Answer:
A motorcycle will complete the 540 mile trip in [tex]\frac{540}{48} = 11.25 hr[/tex]
And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.
then,
Speed of the car is [tex]\frac{540}{9} = 60 km/hr[/tex]
60t + 48t = 540
108t = 540
Divide both sides by 108 we get
t = 5
So, they will meet in 5 hours,
After 5 hours, the motorcycle will have traveled [tex]48 \times 5 = 240 miles[/tex]
and the car will have traveled = [tex]60 \times 5 = 300 miles[/tex]
Given is :
The distance between the cities Chicago and Toronto is = 540 miles
Speed of motorcycle = 48 mph
So, time taken by motorcycle to cover 540 miles = [tex]\frac{540}{48}=11.25[/tex] hours
Hence, the motorcycle will complete the 540 miles trip in 11.25 hours.
As given, the car takes 2.25 hours less to cover the same distance, so car takes [tex]11.25-2.25=9[/tex] hours
So,the speed of the car therefore is [tex]\frac{540}{9}=60[/tex] mph.
Let both the car and motorcycle meets is 't' time.
So, [tex]60t+48t=540[/tex]
[tex]108t=540[/tex]
t = 5
So, they will meet in 5 hours.
After 5 hours, the motorcycle will have traveled 48x5 = 240 miles
And the car will have traveled 60x5 = 300 miles.
Find the missing term (need help)
Answer:
x² - 10x + 34
Step-by-step explanation:
given the roots are x = 5 ± 3i then the factors are
(x - (5 + 3i))(x - (5 - 3i))
= (x - 5)² - 9i² ← expand (x - 5)²
= x² - 10 x + 25 + 9 → [ i² = - 1 ]
= x² - 10x + 34
the missing term is 10x
Which polygon has interior angles whose sum is 1440°? octagon nonagon decagon 11-gon
Answer:
Decagon
Step-by-step explanation:
We can use the general equation to determine the sum of interior angles:
[tex]I.A. = 180 \times (n-2)[/tex]
Since we know the sum of interior angles (I.A.) is 1440°, we must figure out n - the number of sides and so:
[tex]1440=180(n-2)\\\\\frac{1440}{180}=n-2\\\\8=n-2\\\\n=10[/tex]
Since n=10 this means that it is a 10 sided shape meaning it's a decagon.
Answer:
decagon
Step-by-step explanation:
1440=180(n-2)
8=n-n
n=10
this means that your answer is going to is decagon.
12,192÷48 long divison
Solve the following proportion: x-5:4 = 8:10. I NEED THIS DONE ASAP IM IN CLASS
Which of the following is not part of the protein synthesis?
replication
transcription
respiration
translation
Answer: The correct answer is respiration.
Respiration can be defined as the biochemical process, by which cells obtain energy as ATP from oxygen and glucose, with release of carbon dioxide, water. This process is not at all involved in the synthesis of protein, as it produces energy for the cells of the body.
Please help!!!! Last question i have left to do!!!! thanks
5.8=z/2.2
A) 127.6
B) 0.37
C) 3.7
D) 12.76
please help fast this is the only question I have left to do and cant figure it out
The freshman class at Central High totals 522 students, with 100 more girls than boys. Which equation can be used to find the number of boys?
Answer:
The required equation is (1) and the number of boys is 211.
Step-by-step explanation:
Let the number of boys be x.
It is given that there are 100 more girls than boys. It means the number of girls is x+100.
The total number of students is 522.
Number of boys + Number of girls = 522
[tex]x+(x+100)=522[/tex] ... (1)
Combine like terms.
[tex]2x+100=522[/tex]
Subtract 100 from both the sides.
[tex]2x+100-100=522-100[/tex]
[tex]2x=422[/tex]
Divide both sides by 2.
[tex]x=211[/tex]
Therefore the required equation is (1) and the number of boys is 211.
Answer:
[tex]2x+100=522[/tex]
Step-by-step explanation:
Let the no. of boys be x
We are given that there are 100 more girls than boys.
So, No. of girls = x+100
Total number students = [tex]x+x+100[/tex]
= [tex]2x+100[/tex]
We are given that The freshman class at Central High totals 522 students
So, equation becomes : [tex]2x+100=522[/tex]
Hence an equation can be used to find the number of boys is [tex]2x+100=522[/tex]
What is the quotient 240,000 divided 100
240,000/100=2,400.
-TheOneandOnly003
Have a blessed day.
Which pairs of variables have a linear relationship check all that apply
Answer:
Can I have the options? I cant check all that apply if i don't have options.
Step-by-step explanation:
simplify the expression. h^4(h^3)^-6
Answer:
The answer is 1/h^14
Step-by-step explanation:
h^4 (h^3)^-6
= h^4/h^18
= 1/h^14
3.25+0.5x+1 1/3 + 5/6 x=5 11/12
what is x?
PLZ HELP DUE SOON
Answer: x = 0
Step-by-step explanation:
The first step would be to convert everything to one form. I'll do the fractions, since 1/3 is hard to represent in decimal.
3 1/4 + 1/2x + 1 1/3 + 5/6x = 5 11/12
Now, the fractions will be converted via GCF. 12 is easily divisible by 4, 2, 3 and 6, so that I'll be the denominator used.
3 1/4 -> 3 3/12
1/2x -> 6/12x
1 1/3 -> 1 4/12
5/6x -> 10/12x
5 11/12 will stay the same.
The new equation is:
3 3/12 + 6/12x + 1 4/12 + 10/12x = 5 11/12
Combine like terms:
4 7/12 + 1 4/12x = 5 11/12
Subtract 4 7/12 from both sides
1 4/12x = 1 4/12
Divide both sides by 1 4/12x
x= 0
Answer:
x= 1
Step-by-step explanation:
Convert 5\frac{11}{12}5
12
11
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
5×12+11
2 Simplify 5\times 125×12 to 6060
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
60+11
3 Simplify 60+1160+11 to 7171
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
71
4 Simplify \frac{5}{6}x
6
5
x to \frac{5x}{6}
6
5x
3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1
3
1
+
6
5x
=
12
71
5 Convert 1\frac{1}{3}1
3
1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
1×3+1
+
6
5x
=
12
71
6 Simplify 1\times 31×3 to 33
3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
3+1
+
6
5x
=
12
71
7 Simplify 3+13+1 to 44
3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
4
+
6
5x
=
12
71
8 Simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+
3
4
+
6
5x
to \frac{13.75}{3}+\frac{4x}{3}
3
13.75
+
3
4x
\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}
3
13.75
+
3
4x
=
12
71
9 Simplify \frac{13.75}{3}
3
13.75
to 4.5833334.583333
4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+
3
4x
=
12
71
10 Subtract 4.5833334.583333 from both sides
\frac{4x}{3}=\frac{71}{12}-4.583333
3
4x
=
12
71
−4.583333
11 Simplify \frac{71}{12}-4.583333
12
71
−4.583333 to \frac{4}{3}
3
4
\frac{4x}{3}=\frac{4}{3}
3
4x
=
3
4
12 Multiply both sides by 33
4x=\frac{4}{3}\times 34x=
3
4
×3
13 Simplify \frac{4}{3}\times 3
3
4
×3 to \frac{12}{3}
3
12
4x=\frac{12}{3}4x=
3
12
14 Simplify \frac{12}{3}
3
12
to 44
4x=44x=4
15 Divide both sides by 44
x=1
The equation y = 11x describes the amount of money Louis earns, where x is the number of hours he works and y is the amount of money he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carl’s Earnings
Time (h) 3 5 8 10
Money earned ($) 42 70 112 140
(a) How much money does Carl earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Carl’s earnings over time in hours.
Label the axes
Answer:
Step-by-step explanation:
(a) Carl earns $42 per 3 hours as given. To find the amount he earns per hourdivide:
$42/3 hours = $14/hour
(b) To see how much Louis makes per hour, simply plug in 1 for the hours value x:
y = $11(1 hours)
y = $11/hour
Thus Carl makes more than Louis.
(c) The equation of Carl's dollars per hour is similar to Louis' = 14x
where x is the number of hours he works and y is the number of dollars he earns. Plug in whole number values of hours for x and plot the points (x, y) on a graph
Is him in your bias?
Carl earns $14 per hour, which is more than Louis' hourly wage of $11. A graph that represents Carl's earnings should have time in hours on the x-axis and money earned on the y-axis.
The question relates to comparing Hourly Earnings of Louis and Carl, and analyzing earnings overtime through graphs.
(a) To determine Carl's hourly earnings, we divide the amount of money earned by the hours worked.
For example, when he works 3 hours, he earns $42.
Therefore, the hourly rate is $42/3 = $14 per hour.
(b) By comparing Carl's hourly earning which is $14/hour to Louis' earning which is $11/hour according to the equation y = 11x, it is clear that Carl earns more per hour.
(c) To plot the graph for Carl's earnings, you need to put the time in hours on the x-axis and the money earned on the y-axis.
Each point on the graph represents the amount Carl earns after a certain number of hours.
For example the point (3,42) represents that Carl earns $42 after 3 hours of work.
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what is the image of (-9,3) when it is reflected across the line y = x?
Answer:
(3, -9)
Step-by-step explanation:
To reflect an image across the line y = x, (x, y) → (y, x).
(-9, 3) → (3, -9)
Brainliest + Points!
Explain please!
The area of a checker board is 64 square units. 32 of the squares are red, and the other 32 are black.
If you used it as a dart board, what is the probability that a dart will land in a black square?
A.
0.75
B.
0.50
C.
0.32
D.
0.25
Answer:
B
Step-by-step explanation:
If you have 32 black squares and 32 red squares that means you have 64 squares. Since 32 is half of 64 you have a 50% chance to land on a black square.
Hope This Helps!
The probability that a dart will land in a black square is 0.50.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
Given that the area of a checker board is 64 square units. 32 of the squares are red, and the other 32 are black.
The area of checker board is twice the area of black.
The probability that a dart will land in black square
= 1 / the number of possible squares.
= 1/2
= 0.50
Therefore, the probability that a dart will land in a black square is 0.50.
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Please factorise these
A math problem asks when two brothers will have saved the same amount of money. When Marta writes and solves the equation, her final step is 3 = 7. Assuming Marta has done everything correctly, how should she interpret this solution? A. The brothers started with the same amount of money. B. The brothers will never have the same amount of money. C. The brothers will have the same amount of money in 3 years. D. The brothers will have the same amount of money in 7 – 3 = 4 years.
Answer:
B. The brothers will never have the same amount of money.
Step-by-step explanation:
When we get to the final step and get 3=7, which we know it not true, this means there is no solution.
You earned the following scores on five math test:96 92 80 91 and 86 you want to have an average of at least 90 after you take the sixth test.Write and solve an inequality to find the possible score on your sixth test in order to meet your goal
Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same store for a total of $40.90 how much does one lemon cost. .... helppppp. How Much does 1 plum cost?
what is the importance of the quadratic formula?
What is the unit price if a dozen rolls cost 3.99?
Answer:
$.33 cents per roll
Step-by-step explanation:
a dozen rolls are 12 rolls
To find the unit prices, take the price and divide by the number of rolls.
$3.99/12
$.3325
But this is money so we round to the nearest cent
$.33 cents per roll
The length of a diagonal of a quadrilateral shaped field Is 48 m And the length of perpendicular dropped on it from the remaining apposite vertices are 16 m and 26 m find the area of the field
Answer:
[tex]1008\text{ m}^2[/tex]
Step by step explanation:
Please find the attachment.
We have been given that the length of a diagonal of a quadrilateral shaped field Is 48 m. The length of perpendicular dropped on it from the remaining apposite vertices are 16 m and 26 m.
We can see from our attachment that diagonal AC divides our quadrilateral field into two triangular fields and AC will be the base of both triangles.
To find the area of our given quadrilateral we will find the areas of both triangles and add the areas.
Let us find area of triangle ABC with base 48 m and height 26 m.
[tex]\text{Area of triangle}=\frac{1}{2}(\text{ Base}\times\text{ Height})[/tex]
[tex]\text{Area of triangle ABC}=\frac{1}{2}\times 48\times 26[/tex]
[tex]\text{Area of triangle ABC}=24\times 26[/tex]
[tex]\text{Area of triangle ABC}=624[/tex]
Therefore, the area of triangle ABC will be 624 square meters.
Now let us find area of triangle ADC with base 48 m and height 16 m.
[tex]\text{Area of triangle ADC}=\frac{1}{2}\times 48\times 16[/tex]
[tex]\text{Area of triangle ADC}=24\times 16[/tex]
[tex]\text{Area of triangle ADC}=384[/tex]
Therefore, the area of triangle ADC will be 384 square meters.
Now let us add areas of triangles ABC and ADC to get the area of our quadrilateral ABCD.
[tex]\text{Area of quadrilateral ABCD}=384+624[/tex]
[tex]\text{Area of quadrilateral ABCD}=1008[/tex]
Therefore, the area of quadrilateral shaped field will be 1008 square meters.
I need help with number 9 please
Assuming that the rectangle is split evenly, we see three portions, two of which are shaded.
100% / 3 = 33.3% * 2 = 66.6% shaded
Mathias and his brother divided 2,008 marbles equally. HELP PLEASE!!!! LOTS OF POINT I PROMISE U!!
Answer:
each got 1,004 marbles each
Step-by-step explanation:
if you divide 2,008 by 2, you get 1,004
Answer:
1004
Step-by-step explanation:
hope this helps
Bess is trying to solve a puzzle where she has to figure out two numbers, x and y. The sum of twice x and 3 times y is less than 6. Also, y must be greater than 1 less than twice the x. Which graph represents the possible solutions? Graph the inequalities 2 x plus 3 y less than 6 and y greater than 2 x minus 1 Graph the inequalities 2 x minus 3 y less than 6 and y greater than 2 x minus 1 Graph the inequalities 3 x minus 2 y less than 6 and y greater than 3 x minus 2 Graph the inequalities 3 x minus 5 y less than 6 and y greater than 3 x plus 2
Answer:
The correct option is 1.
Step-by-step explanation:
Let the two numbers are x and y.
Condition 1: The sum of twice x and 3 times y is less than 6.
[tex]2\times x+3\times y<6[/tex]
[tex]2x+3y<6[/tex] ..... (1)
Condition 2: y must be greater than 1 less than twice the x.
[tex]y>2\times x-1[/tex]
[tex]y>2x-1[/tex] .... (2)
Therefore the graph of inequality (1) and (2) represent the all possible solutions.
Option 1 is correct. The graph of above inequality are shown below.
Answer:
the answer is A option 1
Step-by-step explanation:
A cyclist can travel 29.6 miles in 2 hours. At this rate, how far can the same cyclist travel in 45 minutes?
Answer:
x=11.1mi
Step-by-step explanation:
29.6mi x
120 min 45 min
cross multiply and divide
120x = 45*29.6
x = 45*29.6/120
x = 11.1 mi
There is your answer!
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How to simplify fractions
Step-by-step explanation:
[tex]\frac{2}{3} + \frac{2}{9} \\\\\frac{6+2}{9}\\\\\frac{8}{9}[/tex]
9m-4=-3m+5+12m how do you solve this equation
Answer:
Step-by-step explanation:
9m-4 = -3m + 5 + 12m
-9m -9m
-4= -3m + 5 + 12m - 9m
-5 -5
-9 = m
i believe
To solve the equation, simplify both sides and combine like terms. Subtract 9m from both sides to isolate the variable. There is no solution to this equation.
Explanation:To solve the equation 9m-4=-3m+5+12m, we need to simplify both sides and combine like terms.
Starting with the left side, we have 9m-4. On the right side, we have -3m+5+12m. Combining like terms on both sides, we get 9m-4=9m+5. We can then subtract 9m from both sides to isolate the variable, giving us -4=5.
Since -4 is not equal to 5, there is no solution to this equation.
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120 books increased by 55%
Answer:
120 books increased by 55% is 186.
Step-by-step explanation:
120 x .55 (.55 is the 55%) = 66. Then, add 120 and 66, and which you get 186.
Answer: The total of books increased would be 186 books.
Step 1.
120* (55/100)= 66
Step 2.
120+ 66= 186
And our final answer is 186 books.
Hope I could help! :)
Christian is reading 1/4 books every 2/3 week. How many books does christian read per week
A) 1/6
B) 3/8
C) 2 2/3
D) 6
Answer:
(1/4) / (2/3) = x / 1...1/4 book to 2/3 week = x books to 1 week
cross multiply because this is a proportion
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 per week
MARK ME BRAINLIESTWhich coefficient before hydrogen (H2) balances this chemical equation? N2 + __H2 2NH3 A. 2 B. 3 C. 4 D. 5
Answer:
Step-by-step explanation:
The answer to this question is 3
Hope this helps
To balance the chemical equation N2 + __H2 -> 2NH3, we need to have the same number of each type of atom on both sides. We have 2 Nitrogen atoms on each side of the equation, but the Hydrogen atoms are unbalanced. By placing a coefficient of 3 before H2, we get a balanced chemical equation; N2 + 3H2 -> 2NH3. Hence, the correct answer is option B, 3.
Explanation:In order to balance a chemical equation, the same number of each type of atom must be present on both sides of the equation. In the initial chemical equation given, N2 + __H2 -> 2NH3, we have 2 Nitrogen atoms on both sides which is balanced. However, for Hydrogen we have 2 Hydrogen atoms on the left side (from H2) but 6 on the right side (as each NH3 molecule has 3 Hydrogen atoms). Therefore, we need to balance the Hydrogen atoms.
Putting a coefficient of 3 before H2 on the left side of the equation, we will have 3 * 2 = 6 Hydrogen atoms. This balances the Hydrogen atoms on both sides of the equation. Hence, the balanced chemical equation becomes N2 + 3H2 -> 2NH3. Therefore, the correct answer is B. 3.
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