Answer:
[tex]k=6[/tex]
Step-by-step explanation:
We can distribute the right side to get [tex]38+7k=8k+32[/tex].
We can subtract [tex]7k[/tex] from both sides to get [tex]38=k+32[/tex].
We can subtract [tex]32[/tex] from both sides to get [tex]6=k[/tex].
So, the answer is [tex]\boxed{k=6}[/tex] and we're done!
The solution to the equation 38 + 7k = 8(k + 4) is k = 6.
We can begin by simplifying both sides of the equation in order to find the solution to the equation 38 + 7k = 8(k + 4):
38 + 7k = 8k + 32
Next, we can separate the constant terms from the variable terms by placing them on opposite sides of the equation:
7k - 8k = 32 - 38
Simplifying even more
-k = -6
We can multiply both sides of the equation by -1 to remove the negative sign:
k = 6
Hence K = 6 is the answer to the equation 38 + 7k = 8(k + 4).
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What is the length of time
passed from 7:30 a.m. to 4:30 p.m.?
Answer:
9 hours
Step-by-step explanation:
12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9
What is the parity of the sum of 80 consecutive natural numbers?
Answer:
The sum is even :p
Step-by-step explanation:
[tex]\frac{(80+1)80}{2}[/tex]=3240
3240 is even so the parity of the sum of 80 consecutive natural numbers is even!
what is the sum of the polynomials
if 6/10 = 21/K what is K
You can cross multiply for this problem. So:
[tex]\frac{6}{10}=\frac{21}{K}\\6K=210\\K=35[/tex]
So K=35!
Hope this helps! :)
what is the estimate of 6472
Estimating the value of 6472+2380
Round up the number 6472 to 6470.
6470+2380
Round up the number 2380 to 2380.
6470+2380
Add 2380 to 6470.
8850
6472+2380≈8850
The Estimated Value of 6472+2380 is 8850.
Answer:
7000
Step-by-step explanation:
6000+472=7000 I really hope it helped
What is 0.22 expressed as a percent?
A. 220%
B. 22%
C. 2.2%
D. 0.022%
b.
0.22(100)=22.0
we have to move the decimal point twice to the right to get a percent!
Answer:
Step-by-step explanation:
0.022 i think
I NEED HELP!!!!!!
MY TEACHER IS MAD AT ME FOR NOT DOING IT IN CLASS BUT ANYWAYS
Answer:
y = 2/3x -6
Step-by-step explanation:
slope intercept form is y = mx + b ( m is slope)
It is -4°F in the morning. By afternoon it is 15°F. What is the temperature change?
Answer:
The temperature change is 11.
Step-by-step explanation:
You take the starting temp. (-4) and add it to the final temp (15) which looks like this:
-4+15
This gets you the answer of 11.
The other person is correct.Sorry about that
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, and if 5 basketball game tickets and 3 football game tickets were purchased for $55.75, what are the costs of basketball game tickets and football game tickets?
Answer:
basketball game tickets: $7.25;
football game tickets: $6.50
Step-by-step explanation:
Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.
Amount for basketball ticket plus amount for football tickets equal the total cost.
4B + 5F = 61.50
5B + 3F = 55.75
Choose one equation in the system to solve for a variable.
Solve the first equation for F.
4B + 5F = 61.50
5F = −4B + 61.50 Subtract 4B from both sides.
F = −0.8B + 12.30 Divide both sides by 5.
Substitute the expression −0.8B + 12.30 for F in the other equation.
5B + 3F = 55.75
5B + 3(−0.8B + 12.30) = 55.75 Substitute.
5B − 2.4B + 36.90 = 55.75 Distribute.
2.6B + 36.90 = 55.75 Combine like terms.
2.6B = 18.85 Subtract 36.90 from both sides.
B = 7.25 Divide both sides by 2.6.
Substitute the B-value into one of the original equations to solve for F.
4B + 5F = 61.50
4(7.25) + 5F = 61.50 Substitute.
29 + 5F = 61.50 Multiply.
5F = 32.50 Subtract 29 from both sides.
F = 6.50 Divide both sides by 5.
The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.
The cost of basketball game tickets is $7.15 and football game ticket is $6.5
Let the cost of a basketball game ticket be x
Let the cost of football game ticket be y
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;
4x + 5y = 61.50 ..................1
If 5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;
5x + 3y = 55.75 ...........................2
Solving 1 and 2 simultaneously
4x + 5y = 61.50 ..................1 * 3
5x + 3y = 55.75 ...........................2 * 5
_________________________________
12x + 15y = 184.5
25x + 15y = 278.75
Subtract
12x - 25x = 184.5 - 278.75
-13x = -94.25
x = 7.25
Substitute x = 7.25 into equation 1:
From 1:
4x + 5y = 61.50
4(7.25) + 5y = 61.50
29 + 5y = 61.50
5y = 61.50 -29
5y = 32.5
y = 32,5/5
y = 6.5
Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5
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Plz help it’s due tonight!!!
Which circuit is a series circuit? A. B. C. D.
Answer:
Since you did not provide any other information, I did some research and might have found the original question/ answer choices. If this is the correct question, then your answer should be D.)
Answer : The correct series circuit is, (D)
Explanation :
Parallel circuit : In this circuit, the potential across each of the components are same but the current flow in the circuit is equal to the sum of the current flow of each components.
That means in this circuit, the potential across the circuit is same but current is different.
where, 'I' is current.
Series circuit : In this circuit, the current flow each of the components are same but the potential across the circuit is equal to the sum of the potential of each components.
That means in this circuit, the current flow across the circuit is same but potential is different.
where, 'V' is potential.
From the given circuits, the circuit D is the series circuit. while the other circuits are parallel circuits.
Hence, the given circuit (D) is a type of series circuit.
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Bro Pls Help Me With Math
Answer:
distributive property of multiplication.
Step-by-step explanation:
A rhombus is a quadrilateral that has exactly one pair of parallel sides.
True or false
Answer:
False
Step-by-step explanation:
Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
Please someone help best answer gets brainleist
Answer:
B
Step-by-step explanation:
it will never cross so it's b
gehehehehhehegeheheklelehe
Answer:
A
Step-by-step explanation:
Find the L.C.M and H.C.F of: a. 432 and 486
Answer:
L.C.M of 432 and 486: 3888
H.C.F of 432 and 486: 54
Step-by-step explanation:
Jamal has two trails. the first trail is 5 1/3 miles long, and the second trail was 1 3/4 times as long as the first trail. how many miles did Jamal walk?
Answer:
The correct answer is Jamal hiked [tex]14\frac{2}{3}[/tex] miles.
Step-by-step explanation:
To solve this math problem, you will need to convert mixed numbered fractions, into improper fractions.
To do that, you will need to multiply the whole number with the denominator (Ex: 5 × 3 = 15), then when you receive the answer, add the answer with the numerator (Ex: 15 + 1 = 16), finally, you should receive a new answer, and to finalize the improper fraction, you always need to keep the denominator the same (Ex: The denominator is 3 so use the new answer as a numerator replacement. [tex]\frac{16}{3}[/tex])
--
After you have converted all the mixed numbers into improper fractions in the math problem, you are then able to use multiplication.
--
But first we have to calculate how long the second trail was.
[tex]\frac{7}{4} *\frac{16}{3} =7*\frac{4}{3} =\frac{28}{3} =9\frac{1}{3}[/tex] miles. Then, convert the mixed number into improper. ([tex]\frac{28}{3}[/tex])
--
Now add the number of miles of both trails.
[tex]\frac{16}{3} +\frac{28}{3} =\frac{44}{3} =14\frac{2}{3}[/tex]
With the result as: [tex]14\frac{2}{3}[/tex]
A rectangular schoolyard is to be fenced in using the wall of the school for one side and 500 meters of fencing for the other three sides. The area in square meters of the schoolyard is a function of the length in meters of each of the sides perpendicular to the school wall.
A. Write an expression for A(x) using NO SPACES.
B. What is the area of the schoolyard when x = 100 ?
C. What is a reasonable domain for x in this context?
Answer:
StPart 1) The expression is
Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2
Part 3) The domain is all real numbers greater than zero and less than 75 meters
Step-by-step explanation:
Part 1) Write an expression for A(x)
Let
x -----> the length of the rectangular schoolyard
y ---> the width of the rectangular schoolyard
we know that
The perimeter of the fencing (using the wall of the school for one side) is
so
-----> equation A
The area of the rectangular schoolyard is
---> equation B
substitute equation A in equation B
Convert to function notation
Part 2) What is the area of the schoolyard when x=40?
For x=40 m
substitute in the expression of Part 1) and solve for A
Part 3) What is a reasonable domain for A(x) in this context
we know that
A represent the area of the rectangular schoolyard
x represent the length of of the rectangular schoolyard
we have
This is a vertical parabola open downward
The vertex is a maximum
The x-coordinate of the vertex represent the length for the maximum area
The y-coordinate of the vertex represent the maximum area
The vertex is the point (37.5, 2812.5)
using a graphing tool, see the attached figure
therefore
The maximum area is 2,812.5 m^2
The x-intercepts are x=0 m and x=75 m
The domain for A is the interval -----> (0, 75)
All real numbers greater than zero and less than 75 meters
ep-by-step explanation:
In physics, the equation = is called the ideal gas law. It is used to approximate
the behavior of many gases under different conditions.
, , and represent pressure, volume, and temperature, represents the number of
moles of gas, and is a constant for the ideal gas.
Which equation is solved for ?
A./ =
B./ =
C. = −
D. = T
Answer:
It's look like the answer is letter D. = TExplanation:
Well, Hope it helps you..
Y-your welcome in advance..
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what is the answer i need help
Answer:
[tex]f( - 1) = - 2[/tex]
Step-by-step explanation:
[tex]f(x) = - {x}^{2} + x \\ f( - 1) = - {( - 1)}^{2} + ( - 1) \\ = - (1) + ( - 1) \\ = - 1 - 1 \\ f( - 1)= - 2[/tex]
I hope I helped you^_^
which table represents a function
Answer:
The first one.
Step-by-step explanation:
Functions do not have repeating x values.
the percentage of measurements that are below the 88th percentile is
The percentage of measurements which are below the 88th percentile could be expressed as 88%.
The percentile of a distribution gives the percentage of the total distribution below a certain percentage value. The 25th Percentile refers to the percentage of values in the distribution below 25%Similary, 88th percentile gives the values which are below 88% of the values in the distribution.Therefore, percentage of measurement below the 88th percentile is 88%
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Solve:
3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2
Answer:
x = 26/45
Step-by-step explanation:
Answer:
Given Question
Solve for x :
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]
[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]
[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]
[tex]\rm :\longmapsto\:28x = 26[/tex]
[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]
[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]
VERIFICATIONConsider LHS
[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]
On substituting the value of x, we get
[tex]\rm \: = \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]
[tex]\rm \: = \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]
[tex]\rm \: = \: \dfrac{ -15 - 32}{84}[/tex]
[tex]\rm \: = \: - \: \dfrac{47}{84}[/tex]
Consider RHS
[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]
On substituting the value of x, we get
[tex] \rm \: = \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]
[tex] \rm \: = \: \dfrac{70 - 117}{84}[/tex]
[tex] \rm \: = \: - \dfrac{47}{84}[/tex]
Hence, LHS = RHS
Hence, Verified.
Some friends played a board game. During the game, one unlucky player had to move back 4 spaces 5 turns in a row.
Find a number to represent that player's movements for those 5 turns
Answer:
-9 * 7 = -63
Step-by-step explanation:
Find the missing exponent.
(b^2) =b^-8
Answer:
b=-1
Step-by-step explanation:
Caroline rolls a fair dice 90 times.
How many times would Caroline expect to roll an even number?
please answer quickly doing hw
Answer:
The probability to roll a number greater than 3 is 3 over the 6 total (1,2,3,4,5,6).
That can be simplified to 1/2 for the probability.
If she rolls the dice 90 times 90 x 1/2 or 45 rolls will receive a number greater than 3.
Answer: 45
NEED HELP! John wrote the numbers 678,901 and 67,890. How many times greater is the value of 7 in 678,901 than the value of 7 in 67,890?A. 10,000B. 1,000C. 100D. 10
HELP ASAP PLZ!?!??!!?
Answer:
Step-by-step explanation:
Subtraction of integers -110 - (-80) =
Answer:
-20is the answer
have a great day
Answer:
-30
Step-by-step explanation:
Write the standard form of the equation.
y = x + 3
If someone could also explain how to get the answer that would be great, but you dont have to