Answer:
[tex]m = \frac{5}{2} [/tex]Step-by-step explanation:
[tex]\frac{3}{2} + \frac{2m}{9} = \frac{37}{18}[/tex]
Multiply through by 18 to eliminate the fraction
That's
[tex]18 \times \frac{3}{2} + 18 \times \frac{2m}{9} = 18 \times \frac{37}{18} \\ 27 + 4m = 37[/tex]
Subtract 27 from both sides
That's
[tex]27 - 27 + 4m = 37 - 27 \\ 4m = 10[/tex]
Divide both sides by 4
That's
[tex] \frac{4m}{4} = \frac{10}{4} [/tex]
We have the final answer as
[tex]m = \frac{5}{2} [/tex]
Hope this helps you
[tex]\Huge{\boxed{\sf{\red{m = \frac{5}{2}}}}}[/tex]
➢ Explαnαtion :[tex]\displaystyle{\sf{ \frac{3}{2} + \frac{2m}{9} = \frac{37}{18}}} [/tex]
| ∵ Transposing 3/2 to R.H.S
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{37}{18} - \frac{3}{2}}} [/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{37-27}{18}}} [/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{10}{18} = \frac{5}{9}}} [/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ 2m = \frac{5}{9} \times 9}} [/tex]
[tex]\implies[/tex] [tex]\displaystyle{\sf{ 2m = 5}} [/tex]
[tex]\longrightarrow[/tex] [tex]\large{\boxed{\sf{\red{ m = \frac{5}{2}}}}}[/tex]
A diesel train traveled to Las Vegas and back. The trip there took ten hours and the trip back took 14 hours. It averaged 60 mph on the return trip. Find the average speed of the trip there.
please help, thanks!
Answer:
a) 10.5cm
b) 1520cm³ (3 s.f.)
c) 1270cm² (3 s.f.)
Step-by-step explanation:
Please see the attached picture for full solution.
Answer the question and I will mark brain also explains why you chose your answer :)
Answer:
1. 700
2.1050
Step-by-step explanation:
you add 310 and 390 and get 700
350 plus 700 is 1050
Hector is visiting a cousin who lives 400 miles away he has driven 75 miles how many more miles does he need to drive to reach his cousin’s home let d be how many miles left to reach his cousins house
Answer: Hector needs to drive 325 more miles.
h(-1) means that x is...
Answer:
-1
Step-by-step explanation:
h(x) is another way to say y. the "x" inside h(x) IS the x value
In segment AC, point B is between A and C. Which of the following is true?
A. Point A + Point B = Point C
B. AB + AC = BC
C. AB + BC = AC
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
16 PS 19
E question Help
Some friends played a board game. During the game, one unlucky player had to move back 9 spaces
7 turns in a row. Find a number to represent that player's movements for those 7 turns
Answer:
-63
Step-by-step explanation:
Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!
Mary is half of her sister's age. The sum of their
ages is 18. How old is her sister?
Answer:
Mary's sister is 12 years old.
Step-by-step explanation:
If Mary is half of her sister's age, her sister is 2 times her age.
Represent M as Mary's age...
M+2m=18
3m=18
3m/3=18/3
m=6
But because Mary is a half of her sister's age...
6*2=12
Answer:
12 years
Step-by-step explanation:
12/2 = 6
12 + 6 = 18
keira has 36 cakes,she gives 1/6 of them to tom and 1/9 to sue, how many cakes does she have left?
Answer:
26
Step-by-step explanation:
1/6 of 36 is 6
1/9 of 36 is 4
6+4=10
36-10= 26
Answer:
26 cakes
Step-by-step explanation:
36 divided by 6 = 6
30 - 6 = 24
36 divided by 9 = 4
6 + 4 = 10
36 - 10 = 26
Hopefully this helps you :)
pls give me brainlest ;)
64 cm
64 cm
48°
*nor drawn to scale
What is the value of x?
o
A. 42°
B. 48°
Ο Ο Ο
C 64°
O D. 84
URGENT PLS I WILL GIVE MAX POINTS PLEASE
Answer: D
Step-by-step explanation:
My Teacher gave me the answer
Miranda needs to cut strips of paper that are 1/8 of an inch. If she has piece of paper that is 7 and 3/4 inches long. How many strips of paper can she make? *
Answer:
62
if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62
Identify the hypothesis and conclusion of each statement.
13. If the ball is red, then it will bounce higher.
14. If a plane contains two lines, then they are coplanar.
15. If the light does not come on, then the circuit is broken.
16. You must wear your jacket if it is cold outside.
Any conditional is of the form "if hypothesis, then conclusion"
=============================
13.
Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
=============================
14.
Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
=============================
15.
Hypothesis = The light does not come on
Conclusion = The circuit is broken
=============================
16.
Hypothesis = It is cold outside
Conclusion = You must wear your jacket
It might help to rewrite the original sentence as "If it is cold outside, then you must wear your jacket" to have it match up with the "if P, then Q" format (P and Q are the hypothesis and conclusion in that order).
The Hypothesis and Conclusion of each statement are;
13. Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
14. Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar
15. Hypothesis = The light does not come on
Conclusion = The circuit is broken
16.Hypothesis = It is cold outside
Conclusion = You must wear your jacket
What is The Hypothesis and Conclusion?
The conclusion is “then,” part of a conditional statement.
The hypothesis is the “if,” part of a conditional statement
Now,
To find the hypothesis and conclusion of each statement we can change any conditional is of the form "if hypothesis, then conclusion"
The first statement is;
13. If the ball is red, then it will bounce higher.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The ball is red
Conclusion = It (the ball) will bounce higher
And, The second statement is;
14. If a plane contains two lines, then they are coplanar.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = A plane contains two lines
Conclusion = They (the two lines) are coplanar.
And, Third statement is;
15. If the light does not come on, then the circuit is broken.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = The light does not come on
Conclusion = The circuit is broken.
And, Fourth statement is;
16. You must wear your jacket if it is cold outside.
In form of the hypothesis and conclusion written as;
⇒ Hypothesis = It is cold outside
Conclusion = You must wear your jacket
Learn more about the hypothesis and conclusion visit:
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Find the axis of symmetry f(x) = 2x2 - 4x.
Answer:
x=1
Step-by-step explanation:
The function graph is a parabola (branches pointing up). Vertex (1; -2). The graph is symmetrical about the x axis = 1
[tex]f(x)=2x^{2} -4x \\x_{0} =-b/2a=-(-4)/(2*2)=1\\f(1)=-2\\[/tex]
Question 9
3 pts
2
1
3.
4
If m 1 equals (4x + 2) and m23 equals (5x - 15), what is the value of x?
016
O 14
O 15
17
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
a house with an original value of $210,000 increased in value to $300,000 in 5 years what is the ratio of the increase in value to the original value of the house ?
Answer:
6%per year
Step-by-step explanation:
210000/300000=.7
it increased by 30%
30/5=6%per year
The ratio of the increase to the original will be 0.43.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Original value = $210,000
Final value = $300,000
Increment = 300000 - 210000 = 90000
The ratio of increment to original
⇒ 90000 / 210000 = 0.43
Hence "The ratio of the increase to the original will be 0.43".
For more information about ratio and proportion,
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Can someone please help me out I need this equation to be completed 5x+5x=10x I don’t understand someone please help
Answer:no solution
Step-by-step explanation:combine like terms and then subtract 10 from the other side and it becomes no solution
9 POWERED C = 243 (INDICES)
9^c = 243
3^(c)*2 = 243
3^(c)*2 = 3^5
Since the bases are the same the powers can be equated.
2*c =5
c = 5/2
c = 2 1/2
Check
9^2.5 = 243
Use the ^ or y^x or x^y key
1
The admission fee to a movie is $12.50. Each concession item costs $1.75.
How much does it cost to go to the movie and then purchase 3 items at the
concession stand?
What is 0.007826 converted to scientific notation
Answer:
7.826 • 10^-3
Step-by-step explanation:
the decimal is moved 3 places to the right in order for there to be a digit in the ones place
because decimal is moved right, the exponent must be negative
Can someone help me please
Answer:
c) 4 or more times
Step-by-step explanation:
The value of the expression is
_____?
Answer:
the answer is 86!
hope this helped
Answer:
the answer to your question is 86
Overnight, the temperature in Mayville was 4°F. But by the following afternoon, the temperature had risen 11°F. What was the temperature in Mayville that afternoon? To solve the problem, Rose added 4+11 and came up with an answer of 7°F. Is Rose correct? Why or why not?
Answer:
Rose was wrong because 4 + 11 is not 7; the answer would be 15*F
Step-by-step explanation:
4+11 = 15
hope this helps
Rose is incorrect as the temperature in Mayville that afternoon
(4 + 11)°F = is 15°F not (-4 + 11)°F = 7°F.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Overnight, the temperature in Mayville was 4°F.
But by the following afternoon, the temperature had risen 11°F.
∴ The temperature in Mayville that afternoon is the sum of the total temperatures which is,
= (4 + 11)°F.
= 15°F
learn more about numerical expressions here :
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Point C is on line segment \overline{BD} BD . Given CD=2x,CD=2x, BD=3x+4,BD=3x+4, and BC=2x-1,BC=2x−1, determine the numerical length of \overline{BD}. BD
Answer:
[tex]BD = 19[/tex]
Step-by-step explanation:
Given
[tex]CD = 2x[/tex]
[tex]BD = 3x + 4[/tex]
[tex]BC = 2x -1[/tex]
Required
Find BD
Since C is on BD, we have:
[tex]BD = BC + CD[/tex]
Substitute values for BD, BC and Cd
[tex]3x + 4 = 2x - 1 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x - 2x = -1 - 4[/tex]
[tex]-x = -5[/tex]
Multiply through by -1
[tex]x = 5[/tex]
Substitute 5 for x in [tex]BD = 3x + 4[/tex]
[tex]BD = 3 * 5 + 4[/tex]
[tex]BD = 19[/tex]
Enter the equation of the line in slope-intercept form. Slope is 4, and (3,4) is on the line. The equation of the line is y=
Answer:
y= 4x - 8
Step-by-step explanation:
hope this helps :)
$500 deposit over 20 years with an interest rate of 5%
Answer: $1,104
Step-by-step explanation:At the end of 20 years, your savings will have grown to $1,604.
You will have earned in $1,104 in interest.
what is the Greatest Common Factor (GCF) between two
numbers is
Please help me
42 is 6 times larger than which number
Answer:
The answer is 7
Step-by-step explanation:
6*7=42
Answer:
252
Step-by-step explanation:
42 x 6 = 252
To cheek the answer: 252 ÷ 42 = 6
Find the distance CD rounded to the nearest renth C=(6,-5) and D=(-1,-4)
Answer:
The distance from C to D is 7 units left and 1 unit up
Step-by-step explanation:
Answer:
C to D is 7 units left and 1 unit up
Step-by-step explanation:
Is 8.15 a natural number whole number integer rational irrational or real number ?
Answer:
Rational
Step-by-step explanation:
A rational number is a number expressed as a fraction. So the number could be a decimal or percent.
Hope This Helps :)
8.15 is a rational number
if it is 9:38 what time would it be a half and hour later
Answer:
If it was 9:38 it would be 10:08
Step-by-step explanation:
Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.
Hope this helped! :))