Answer: z = 23
Subtract 32 and 9, which equals 23
So your equation is 23 + 9 = 32
Step-by-step explanation:
1. In each of the following, express x in terms of the other variables.
(i) 3x - 2y = 4
(ii) 2x-b-4c
(iv) 5(x-3)= 2y
(v) 3y=-2
(iii) 5x -4 = I
(vi) xy = xz + yz
'x' in each expression is as follows:
x = (4+2y)/3x = (b + 4c)/2x = (2y + 15)/5y = -2/3x = (l + 4)/5xy/xz = yzWhat are variables?A variable in mathematics is an alphabet or term that stands in for an unknown quantity, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants. Typically, it is a letter like x or y. Example: The variable in x + 2 = 6 is x. We can find x = 4 by solving the x + 2 = 6 situation.So, the value of 'x' in each expression:
(i) 3x - 2y = 4 ⇒ 3x = 4+2y ⇒ x = (4+2y)/3(ii) 2x-b-4c ⇒ 2x = b + 4c ⇒ x = (b + 4c)/2(iii) 5(x-3)= 2y ⇒ 5x = 2y + 15 ⇒ x = (2y + 15)/5(iv) 3y = -2 ⇒ y = -2/3(v) 5x -4 = I ⇒ 5x = l + 4 ⇒ x = (l + 4)/5(vi) xy = xz + yz ⇒ xy/xz = yzTherefore, 'x' in each expression is as follows:
x = (4+2y)/3x = (b + 4c)/2x = (2y + 15)/5y = -2/3x = (l + 4)/5xy/xz = yzKnow more about variables here:
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If KL = 8x - 5 and LM = 6x + 3, what is KL?
KL = LM To find the measures of KL
8x-5 = 6x+3
-6x -6x 8(4) - 5
___ ___ 32 - 5
2x - 5 = 3 27
+5 +5
__ __ To find the measure of LM
2x = 8 6(4) + 3
--- --- 24 + 3
x = 4 27
PLEASE HELP Mr. Ingram asked his students to construct an equilateral triangle inscribed in a circle.
The sequences of steps Euna and Jason used in their constructions are shown below.
Answer Choices: Only Euna, Only Jason, Both Jason and Euna, Neither Jason nor Euna, It is impossible to determine who
The correct was done by Jason
what is construction?Geometric construction is a process of constructing geometric figures using geometric tools such as a straightedge (ruler), a compass, and a pencil.
Given:
We have some sequence to construct an equilateral triangle
So, Jason are more relatable in constructing an equilateral triangle.
1. Use a compass to draw circle O
2. Use a straightedge to draw a diameter of the circle. Label the endpoints P and S.
3. Without changing the compass width draw a full circle centered at S
4. Label the points of intersection of the two circles R and Q
5. Use a straightedge to draw segments joining points P, Q, and R to form the equilateral triangle PQR.
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Show your steps for full credit. Show your answer on a number line and in interval notation
8 ≤ 2m – 4 < 16
Answer:
[tex] \large \bf \implies{(6,10)}[/tex]
Step-by-step explanation:Step 1) : Solve the inequality
[tex] \bf \longrightarrow{8 \leqslant 2m - 4 < 16}[/tex]
Separate compound inequalities into system of inequalities
[tex] \begin{cases}2m - 4 \geqslant 8 \\2m - 4 < 16\end{cases}[/tex]
[tex] \sf\underline{ \underline{2m - 4 \geqslant 8 \: and \: 2m - 4 < 16}}[/tex][tex]1) \: \: \: \: \: \large\boxed{ \tt2m - 4 \geqslant 8}[/tex]
Rearrange variables to the left side of the equation[tex] \bf \longrightarrow2m \geqslant 8 + 4[/tex]
Calculate the sum or difference[tex] \bf \longrightarrow2m \geqslant 12[/tex]
Divide both sides of the inequality by the coefficient of variable[tex]\bf \longrightarrow \: m \geqslant \frac{12}{2} [/tex]
Cross out the common factor[tex]\bf \longrightarrow \: m \geqslant 6[/tex]
[tex]2) \: \: \: \: \: \large \boxed{ \sf2m - 4 < 16}[/tex]
Rearrange variables to the left side of the equation[tex]\bf \longrightarrow2m < 16 + 4[/tex]
Calculate the sum or difference[tex]\bf \longrightarrow2m < 20[/tex]
Divide both sides of the inequality by the coefficient of variable[tex]\bf \longrightarrow \: m < \frac{20}{2} [/tex]
Cross out the common factor[tex]\bf \longrightarrow \: m < 10[/tex]
[tex] \pink{ \rule{7cm}{0cm}}[/tex]
[tex]\bf \longrightarrow \: m \geqslant 6 \: and \: m < 10[/tex]
Find the intersection[tex]\bf \longrightarrow \boxed{ \sf6 \leqslant m < 10}[/tex]
Step 2) : Graph on a number line attached above
Step 3) : Express solution set in interval notation
[tex]\bf \longrightarrow {\boxed {\underline {\underline{{( \bold{6,10)}}}}}}[/tex]
How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people if each person can receive any number of bracelets, including $0$? Each bracelet must be given to someone.
There are 256 ways to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among $4$ people
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
We are given that for bracelet Yellow, green,black and red
We need to find the number of ways in which
Each person receive any number of bracelet.
Number of peoples=4
If each person receive exactly one bracelet then , the number of ways= 4 x 3 x 2 x 1 = 24
If all bracelet received by one person and other have no bracelet 4 ways
If one person receive 2 bracelet and other two received by any other=
144 way.
If two person gets two bracelet each and other two have no bracelet= 36 ways
Same, one person received three bracelet and one received by any of them =48 ways
So Total number of ways=24+4+144+48+36=256 ways
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10. Justin goes to the mall with $120. He spends $54.67 on clothes. $13.49 on school supplies, and $8.14 on lunch. How much does he have left?
Answer:$43.70
Step-by-step explanation:
120−54.67−13.49−8.14
=$43.70
Answer:
43.7
Step-by-step explanation:
120-54.67-13.49-8.14=43.7$
Write the decimal expansion for 2/33
Answer:
0.0606060606 hope that's right if not I'm sorry
Help what are the answers to monster challenge puzzle 34!!!
odd Answer:
make icecubes then drop them in hydrochloric acid
Step-by-step Step-by-step Step-by-step Step-by-step explanation
Carlo, having a mass of 50kg, running to the next classroom for his next subject. If his running speed is 10m/s, what is his kinetic energy?
Answer:
Kinetic energy = 2500 J
Step-by-step explanation:
To calculate the kinetic energy of an object, we can use the following formula:
[tex]\boxed{E_k = \frac{1}{2}mv^2}[/tex],
where:
[tex]E_k[/tex] = kinetic energy
m = mass of the object
v = speed of the object
In this question, we are told that Carlo's mass is 50 kg and his speed is 10 m/s. Using this information and the formula above, we can calculate Carlo's kinetic energy:
[tex]E_k = \frac{1}{2} \times 50 \times (10)^2[/tex]
[tex]= \frac{1}{2} \times 50 \times 100[/tex]
[tex]= \bf 2500 \: J[/tex]
Therefore, Carlo's kinetic energy is 2500 J.
Please help me please help me
Mackenzie bought a 10-pound bag of flour. She used some of the flour to bake loaves
of bread.
How can Mackenzie find the amount of flour she used?
Mackenzie can find the amount of flour used by using subtraction. She should subtract the flour left in the bag from 10 pounds.
Subtraction is one of the four basic mathematical operations.
It is used to calculate the amount left after a quantity is reduced.
When two variables are subtracted we use the following notation '-' .
Let us consider two variables x and y such that x is subtracted from y then mathematically it is denoted by y - x .
Mackenzie used some flour to bake bread. To calculate the amount she used from 10 pound bag , first she will have to find the amount of flour left in the bag.
Let a pounds of flour is left (a<10).
So to calculate the amount of flour used by her we simply subtract a from 10 pound.
Hence flour left is (10 - a) pounds.
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Suppose that x and y vary inversely. Write a function that models the inverse variation.
x=13 when y=17
According to the question, to calculate the relationship function model of the given equations which are as follows:
[tex]x=13[/tex] and [tex]y=17[/tex]
And the condition is the function is inverse in nature that means they vary inversely. And it can be represented as:
Equation: [tex]y = \frac{k}{x}[/tex]
[tex]17 = \frac{k}{13}[/tex]
[tex]k = 221[/tex]
Substituting the values to get the final expression:
[tex]y = \frac{221}{x}[/tex]
[tex]xy = 221[/tex]
Substitute the value of 'k' in the original equation. And the final expression is: [tex]xy =221[/tex]
What is function?
In mathematics, function can be defined as an expression or the rule or the law. It defines the relationship between dependent variable and the independent variable.
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Condensing Logarithms:
[tex]\frac{log2}{2} + \frac{log4}{3} =[/tex]
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\log(2)}{2}+\cfrac{\log(4)}{3}\implies \cfrac{1}{2}\log(2)+\cfrac{1}{3}\log(4)\implies \log(2^{\frac{1}{2}})+\log(4^{\frac{1}{3}}) \\\\\\ \log(2^{\frac{1}{2}})+\log( ~~ (2^2)^{\frac{1}{3}} ~~ )\implies \log(2^{\frac{1}{2}})+\log(2^{\frac{2}{3}})\implies \log( ~~ 2^{\frac{1}{2}}\cdot 2^{\frac{2}{3}}~~) \\\\\\ \log( ~~ 2^{\frac{1}{2}+\frac{2}{3}} ~~ )\implies \log( ~~ 2^{\frac{3+4}{6}} ~~ )\implies \log (~~ 2^{\frac{7}{6}} ~~ )\implies {\LARGE \begin{array}{llll} \log(\sqrt[6]{128}) \end{array}}[/tex]
Identify the percentage of growth or decay for the exponential function y = 104(2.05) x
The percentage of decay for the exponential function: y = 104(2.05) x is 105%.
How to illustrate the information?This equation represents exponential decay. Whenever the base is less than 1, the function represents decay. When the base is greater than 1, the function represents growth. In this case, the base is 2.05 which is 1.05 than 1, representing growth.
The formula for exponential decay is y=a(1-r)x.
r is the decay rate, expressed as a decimal.
In this case, r = 2.05 - 1 = 1.05 which represents 105%.
Therefore, the percentage of decay for the exponential function is 105%.
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Round this number to the
nearest thousandth.
1.9541
Answer:
1.954
Step-by-step explanation:
4 is the thousandth and we wouldn’t round up because of 1
Answer: 1.954
1.9541 is to low to round up to the thousandths so it needs to be rounded down, giving the answer 1.954.
please help!. i'll give 50 brainly points
Daniel’s parents were planning a big birthday party for him.
His parents spent $2.29 on each of 8 goodie bags. How much did they spend on goodie bags? Show your work.
They spent $160 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? Show your work.
If the parents spent a total of $209.48 on the party, how much more did they spend than what was spent in parts (a) and (b)? Show your work.
show your work on each questions please!
Answer: A. 18.32
B. 20
C. 31.16
Step-by-step explanation:
2.29 times 8=18.32 dollars spent on goodie bags
160 divided by 8=20 dollars per hour
160+18.32=178.32
1209.48-178.32= 31.16 more than what was spent in parts a and b.
Find two rational numbers between −7/2 and 4/3
Two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.
The two given rational numbers are −7/2 and 4/3.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.
Now, two rational numbers between −7/2 and 4/3 can be found as follows:
Make denominators the same by taking the LCM of denominators.
LCM of 2 and 3 is 6.
Change denominators of both the rational numbers to 6 by multiplying the same number by numerator and denominator.
So, the rational numbers become −21/6 and 8/6.
Now, two rational numbers between −21/6 and 8/6 are -20/6 and 7/6.
Therefore, two rational numbers between −7/2 and 4/3 are -20/6 and 7/6.
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99999999999999999999999999999999999999999999999999999999999999999999999x0
Answer:
Stop please. You use brainly for answering and asking questions.
PleSeee help ASAP now Tysm
Answer:
BD = [tex]\sqrt{82}[/tex]
Step-by-step explanation:
calculate BD using the distance formula
BD = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = B (- 4, 6 ) and (x₂, y₂ ) = D (- 3, - 3 )
BD = [tex]\sqrt{(-3-(-4))^2+(-3-6)^2}[/tex]
= [tex]\sqrt{(-3+4)^2+(-9)^2}[/tex]
= [tex]\sqrt{1^2+81}[/tex]
= [tex]\sqrt{1+81}[/tex]
= [tex]\sqrt{82}[/tex]
≈ 9.1 ( to 1 dec. place )
Answer:
9.055385 rounded to 6 decimal places
Step-by-step explanation:
The distance between 2 points in a 2_D Cartesian coordinate can be determined by the distance formula
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
where [tex](x_1, y_1) \mathrm{\;and\:} (x_2, y_2)[/tex] are the coordinates of the two points
This is also called Euclidean distance between the two points
Here coordinates of B are (-4, 6) and those of D are (-3, -3)
So distance between them
[tex]d = \sqrt {(-3 - (-4))^2 + (-3 - 6)^2}[/tex]
[tex]= \sqrt {(1)^2 + (-9)^2}[/tex]
[tex]= \sqrt {{1} + {81}}[/tex]
[tex]= \sqrt {82}[/tex]
[tex]= 9.055385[/tex] rounded to 6 decimal places
Based on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy. There are more employees for the workplace safety policy than against the workplace safety policy. There is an equal number of part-time employees and full-time employees. There are more part-time employees against the workplace safety policy than for the workplace safety policy.
Answer:
Two and three
Step-by-step explanation:
A line that includes the points (5,6) and (6,v) has a slope of –9. What is the value of v?
Based on the given task content; the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
How to find the value of v from the given points and slope?Slope refers the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5
y₁ = 6
Point 2( 6,v )
x₂ = 6
y₂ = v
Substitute the given values into the formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )-9
= ( v - 6 ) / ( 6 - 5 )-9
= ( v - 6 ) / ( 1 )
Cross multiply-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Therefore, the value of v from the points (5,6) and (6,v) which has a slope of –9 is -3
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The numerical value of v in the coordinates of a line that passes through (5,6) and (6,v) with a slope of –9 is -3
What is the numerical value of v?Slope is simply the change in y over the change in x.
Slope = Change in y / Change in x
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Slope m = -9
Point 1( 5, 6 )
x₁ = 5y₁ = 6Point 2( 6,v )
x₂ = 6y₂ = vPlug the given values into the slope formula and solve for v.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
-9 = ( v - 6 ) / ( 6 - 5 )
-9 = ( v - 6 ) / ( 1 )
Cross multiply
-9( 1 ) = ( v - 6 )
-9 = v - 6
v = -9 + 6
v = -3
Given the slope and coordinates of the two points of the line, the numerical value of v is -3.
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solve the simultaneous equation
2x + 3y = 7
3x + 2y = 8
Answer:
(2, 1 )
Step-by-step explanation:
2x + 3y = 7 → (1)
3x + 2y = 8 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate x
6x + 9y = 21 → (3)
- 6x - 4y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 3(1) = 7
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 1 )
4. Find the lowest number which is exactly divisible by 12 and 18.
Answer:
36
Step-by-step explanation:
36÷12=3
36÷18=2
what do i write in the blank boxes?
Answer:
the answer
Step-by-step explanation:
you got to write the answer in the blank boxes
Lindsey and Eduardo are waiting for an elevator on the ground floor. First, Lindsey boards an elevator and starts going up at a rate of 130 meters per minute. A few moments later, when Lindsey's elevator has traveled 190 meters, Eduardo boards an express elevator and starts going up at a rate of 240 meters per minute. In how long will Eduardo pass Lindsey?
Answer:
See below
Step-by-step explanation:
Lindsey height = 190 + 130 m ( m = minutes)
Eduardo height = 240 m
Equate them
190 + 130 m = 240 m
190 = 110 m
190/ 110 = 1 8/11 minutes after Eduardo starts
11. How many dots are in the nth term of the following sequence? term: 3,5,7,9 n+2 n²+2 2n+1 n+3
The nth term of the sequence is 2n + 1
The formula known as the nth term allows us to locate any term in a series. The letter n stands for number. By changing the term number's value, we can create a series that uses the nth term (n).
The sequence 3,5,7,9.....
n =1
3 = 1 + 2
3 = 1 + (2×1)
n = 2
5 = 1 + 4
5 = 1 + (2×2)
n = 3
7 = 1 + 6
5 = 1 + (2×3)
n = 4
9 = 1 + 8
9 = 1 + (2×4)
9 = 1 + 8
Therefore, the expression for the Nth is 1+ 2n or 2n + 1
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The telephone company offers two billing plans for local calls. Plan 1 charges $33 per month for unlimited calls and Plan 2 charges $16 per month plus $0.05 per call.
A use an inequality to find the number of monthly calls for which Plan 1 is more economical than plan 2
B. Explain the meaning of the answer to part A
Answer:
Part A
Plan 1
33
Plan 2
0.05x+16
0.05x+16=33
0.05x=17
17/0.05=340
341 calls would be enough.
Part B
AN easy way of doing this is by setting the equations equal to each other and then adding a variable to one side that would be the amount of calls made on plan B. Once you get rid of the initial price of 16 dollars, then you have 17 dollars to be set equal to plan B. You divide 17 by 0.05, which gives you 340, meaning that to make both plans equal to each other, you would have to make 340 calls. To make Plan 1 more economical, you would have to add 1 more call to set plan 2 0.05 cents more than Plan 2.
Step-by-step explanation:
which is bigger 35.7 or 35.68
A commuter train has 8 cars with a maximum occupancy of 56 passengers each and 3 cars with a maximum occupancy of 40 passengers each
The maximum occupancy of the commuter train is 568 passengers
How to determine the maximum occupancy of the commuter train?The given parameters can be represented using the following table of values
1 2
Passenger 56 40
Cars 8 3
The maximum occupancy of the commuter train is then calculated as
Maximum occupancy = Sum of (Passengers * Cars)
So, we have
Maximum occupancy = 56 * 8 + 40 * 3
Evaluate the products in the above equation
So, we have
Maximum occupancy = 448 + 120
Evaluate the sum in the above equation
So, we have
Maximum occupancy = 568
Hence, the maximum occupancy of the commuter train is 568 passengers
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Kelly has 306 stars she sells 56 how many are left?
Answer:
250
Step-by-step explanation:
Take 56 away from 306
306 - 56
=250