Answer:
7
Step-by-step explanation:
solving algebraically:
(x = the unknown number)
(our goal is to isolate x/get x by itself)
2x + 5 = 5x - 16 {equation written out}
-2x -2x
5 = 3x - 16
+ 16 + 16
21 = 3x
÷3 ÷3
7 = x
check:
(2)(7) + 5 = (5)(7) - 16
14 + 5 = 35 - 16
19 = 19
hope this helps!!
Solve the equation.
p−3=−4
p=
The value of p in the given equation is -1.
Given is an equation p-3 = -4, we need to find the value of p,
So,
p-3 = -4
p = -4+3
p = -1
Hence, the value of p in the given equation is -1.
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Solve the equation 2 (x - 1/2)=3(5 - 2x) Show the steps in your solution.
Answer:
x = 2
Step-by-step explanation:
2(x - 1/2) = 3(5 - 2x) (distribute 2 and 3)
2x - 1 = 15 - 6x (add 6x on both sides)
8x - 1 = 15 (add 1 on both sides)
8x = 16 (divide both sides by 8)
x = 2
CHECK
2(2 - 1/2) = 3(5 - 2(2)) (solve what's in parenthesis)
2(1.5) = 3(1) (distribute)
3 = 3
Hope this helps ya!
when multiplying matrices, multiply the elements in each of the first matrix times the corresponding elements in each. is it true?
False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.
A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.
Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.
The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.
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Which equation does not represent a linear function?
a. y = 8x
by = ½x+2
c. y=0.5x - 1
d. y = 2x³
Answer:
d. y= 2x³
Step-by-step explanation:
All of the other equations represent linear functions, and are in the form y = mx + b. D on the other hand contains an exponent, making it a non-linear (in this case cubic) function.
Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works. Determine the independent and dependent variables. Write an equation to represent the number of websites she can design when given any number of weeks.
Answer:
The independent variable is the number of weeks
The dependent variable is the number of website she makes
N = 3w
Step-by-step explanation:
Number of website per week = 3
The independent variable is the number of weeks
The dependent variable is the number of website she makes
Let number of websites she can design when given any number of weeks = N
N = 3 * w
N = 3w
Where,
w = number of weeks
The equation is N = 3w
Area as a sum:
Area as a Product:
I need the are as a sum Nd a product
Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are \(2x^2,10x, 3x, 15\).
The area as a sum is the sum of all the terms of given area model.
Area as a sum = \(2x^2+10x+3x+15\)
= \(2x^2+13x+15\)
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product = \(2x^2+10x+3x+15\)
= \(2x(x+5)+3(x+5)\)
= \((x+5)(2x+3)\)
Therefore, the area as a sum is \(2x^2+13x+15\) and the area as a product is \((x+5)(2x+3)\).
What is the volume, in cubic inches, of the prism?
A right rectangular prism is shown. (5in, 8in, and 3 1/4 in)
A 120 cubic inches
B 130 cubic inches
C 86 cubic inches
5 in.
D 300 cubic inches
Bin.
Answer:
answer is d
Step-by-step explanation:
JOIN MY MEETING
ID-9384026088
PASSWORD 1234
Answer:
yes
Step-by-step explanation:
Solve for x .x + 7 = 15
Answer: x = 8
Step-by-step explanation:
because x + 7 = 15, you can subtract 7 from both sides to get x = 8.
Hope it helps <3
Answer:
8
Step-by-step explanation:
x + 7 = 15
x = 15 - 7
x = 8
Thus, the value of x is 8
5
What is the equation, in point-slope form, of the line that
is parallel to the given line and passes through the point
(-3, 1)?
4
3
2
(-3, 1)
42.27
1
5 4 3 2 1
2 3 4 5 x
y-1=-{(x+3)
y-1=-{(x + 3)
y-1= {(x + 3)
y-1= {(x + 3)
(-2, 4)
Answer: \(y-1=\dfrac32(x+3)\)
Step-by-step explanation:
Slope of a line passes through (a,b) and (c,d) = \(\dfrac{d-b}{c-a}\)
In graph(below) given line is passing through (-2,-4) and (2,2) .
Slope of the given line passing through (-2,-4) and (2,2) =\(\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}\)
Since parallel lines have equal slope . That means slope of the required line would be .
Equation of a line passing through (a,b) and has slope m is given by :_
(y-b)=m(x-a)
Then, Equation of a line passing through(-3, 1) and has slope = is given by
\((y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)\)
Required equation: \(y-1=\dfrac32(x+3)\)
Find the slope of this graph
Answer: Slope is 1/2
Step-by-step explanation:
We can write this slope intercept form
y=mx+b
m=slope
b=y-intercept
The Y-intercept is (0,2) on the line
the slope is 1/2
You get the slope by starting at the point (0,2) and going over to the next point on the line which is (2,3)
Now let's look at how we got there, we went up one time and right two times, giving us 1/2
In slope intercept form it would be y=1/2x+2
THE SLOPE IS 1/2
Brainlest:
10 1/2 divided by 3/8 = 12/2 times 8/3= 9/6 is this ture?
Answer:
No, i dont think so
Step-by-step explanation:
10 1/2 divided by 3/8:
KCF (keep, change the sign, flip the fraction)
·21/2×8/3=168/6
168/6=28
12/2×8/3=16
therefore they are not equal so it is not true
Hope this helped ;)
Answer:
well lets solve this:
10 1/2-->21/10
21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)
10/21x3/8=30/168 = 3/56
12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3
48/3 simplified is 16/1 =16
3/56x16/1 = 48/56
48/56=24/28=12/14=6/7
Step-by-step explanation:
Therfore this is false
-hope this helps
There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
Experiments in General Chemistry Bishop/Bishop/Whitten 3. If you added 0.832 g of Mg to a solution containing 1.794 g of CuSO4 to reduce any copper ions pres. ent, what is the least volume of 6.0MHCl you would need to dissolve the excess Mg ? Explain why you chose this volume. 4. Calculate the formula weight of an unknown copper compound from this data that a student lected. (Assume 1Cu atom per formula unit.)
The least volume of 6.0 M HCl needed to dissolve the excess Mg is 0.028 L.
Calculate the moles of Mg and CuSO4:
Moles of Mg = (0.832 g) / (24.305 g/mol) = 0.0342 mol
Moles of CuSO4 = (1.794 g) / (159.609 g/mol) = 0.0112 mol
Determine the limiting reactant:
The mole ratio between Mg and CuSO4 is 1:1. Since the moles of CuSO4 (0.0112 mol) are less than the moles of Mg (0.0342 mol), CuSO4 is the limiting reactant.
Calculate the moles of excess Mg:
Moles of excess Mg = Moles of Mg - Moles reacted with CuSO4
= 0.0342 mol - 0.0112 mol = 0.0230 mol
Convert moles of excess Mg to grams:
Mass of excess Mg = Moles of excess Mg × Molar mass of Mg
= 0.0230 mol × 24.305 g/mol = 0.559 g
Determine the volume of 6.0 M HCl needed to dissolve the excess Mg:
Use the balanced chemical equation:
Mg + 2HCl → MgCl2 + H2
The stoichiometric ratio between Mg and HCl is 1:2. Therefore, the moles of HCl required will be twice the moles of excess Mg.
Moles of HCl required = 2 × Moles of excess Mg = 2 × 0.0230 mol = 0.0460 mol
Concentration of HCl = 6.0 M, so:
Volume of HCl (L) = Moles of HCl required / Concentration of HCl
= 0.0460 mol / 6.0 mol/L = 0.00767 L = 0.00767 × 1000 mL = 7.67 mL
Therefore, the least volume of 6.0 M HCl needed to dissolve the excess Mg is 7.67 mL.
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how much water should be added to one liter of pure ammonia to make a mixture of 50% ammonia
Answer:
I assume that this is a math question not a chemistry question...
In math I assume the answer is 1 liter....
total = 2 liters (1 liter water 1 liter ammonia )
If this is a chemistry question there is a difference between total
volume, and total weight, which would not result in the answer being 1 liter
Step-by-step explanation:
What’s the percentage??
Answer:
165 a year
Step-by-step explanation:
A bag contains lollipops and ring pops The ratio of lollipops to ring pops is 7 to 9. If there are 496 total pieces of candy in the bag. How many more ring pops are there than lollipops?
Answer:
Step-by-step explanation:
7:9
If you have 496 then you'll have 217:279, it adds up to 496.
279-217
62 more
Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!
Answer:
why did you need to play with you are you board of playing then stop playing game
winnie used 12 ⅘ cups of flour to make 4 equally sized chocolate cake how many cups of flour were used for each cake?
Answer: 3 1/5
Step-by-step explanation:
Cone A has 2 times the radius and 2 times the height of Cone B. The volume of Cone B is 25π cubic ft. What is the volume of Cone A? 1 Tr²h What happens to Volume when you double both the radius and the height? Would it be twice or four times the volume? 3 Use the Formula V =
The volume of Cone A is 100π cubic ft.
The formula to calculate the volume of a cone is V = (1/3)*π*r²*h, where r is the radius and h is the height of the cone.
If we double the radius and the height of a cone, the volume of the cone will increase four times. Mathematically, this can be shown using the formula. If we double both the radius and the height, the volume will become (1/3)*π*(2r)²*(2h) which simplifies to (1/3)*π*4r²*2h. This simplifies further to 4*(1/3)*π*r²*h which is equal to 4*V, where V is the original volume of the cone.
In the given question, the volume of Cone B is 25π cubic ft. If we double the radius and the height of Cone B, the volume of Cone A will be 4*25π cubic ft or 100π cubic ft.
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Find the value of a for which v = [6 -10 4 a] is in the set H = span
The value of a for which v is a linear combination is given as follows:
a = -8.
How to obtain the value of a?
A vector generated by adding two or more vectors (with various orientations) and multiplying by scalar values is known as a linear combination of two or more vectors.
v will be a linear combination of the set H if it can be obtained as the solution of a system of equations from the set H.
From the vectors, the system is defined as follows:
-x = -1.
2x - y = 4.
5x + 4y - 3z = -6.
-x + 3y - z = a.
From the first equation, the value of x is obtained as follows:
-x = -1
x = 1.
From the second equation, the value of y is obtained as follows:
2x - y = 4
2 - y = 4
y = 2 - 4
y = -2.
From the third equation, the value of z is obtained as follows:
5x + 4y - 3z = -6.
5 - 8 - 3z = -6
3z = 3
z = 1.
Then the value of a needed for the linear combination is of:
a = -x + 3y - z
a = -1 - 6 - 1
a = -8.
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Please solve soon I need this problem solved or I will miss out on a Christmas party with my friends.
Answer:
Go have fun at your Christmas party!
Multiple Choice= 2 points each
Short Response= 4 points each
Step-by-step explanation:
You can set up a system of equations to find out how many points each type of question is worth.
x= multiple choice
y= short response
Equation 1 (You)
23x+10y=86
Equation 2 (Your Friend)
28x+5y=76
Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.
-2(28x+5y=76)
-56x-10y=-152
Subtract both equations together.
23x+10y=86
-56x-10y=-152
-33x= -66
x=2
Now that we found x, plug it into the first equation to solve for y.
23x+10y=86
23(2)+10y=86
46+10y=86
10y=40
y=4
Each multiple choice is worth 2 points, and each short answer response is worth 4 points.
What is an equation of the line that passes through the points (5,4) and (2,-2)?
Answer:
y = 2x − 6
Step-by-step explanation:
Find the log of (3.172*10-³)⁶
The given logarithmic equation (3.172 * 10 ⁺ ³ ) ⁶ is calculated to be -14.992
How to solve the logarithmic equationInformation given in the equation in the question
Find the log of (3.172*10-³)⁶
What is logarithm ?logarithm refers to the exponent which a base number should be raised to get a given number
solution for the logarithmic equation
log of (3.172 * 10 ⁺ ³ ) ⁶
= 6 log (3.172 * 10 ⁺ ³ )
= 6 log 3.172 + 6 log 10 ⁺ ³
= 6 log 3.172 + 6 * -3 log 10
log ₁₀ 10 = 1
= 6 log 3.172 + 6 * -3 * 1
= 3.008 + ( - 18 )
= -14.992
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two numbers that add to and multiply to calculator
Answer:
i dont get what you are saying
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?
Answer:
Step-by-step explanation:
Hey please answer this
Answer:
the correct graph is A
Step-by-step explanation:
Note that the red line passes through (0, 2), which is the y-intercept, b, in y = mx + b. Thus the correct answer must be A or B, not C or D.
Besides (0, 2), another point on this line is (1, 3).
The increase in x going from 0 to 1 is 1; this is the 'run'. That in y going from 1 to 3 is 2; this is the 'rise.' Therefore the slope is m = rise / run = 2/1 = 2.
Thus the correct graph is A; its slope is 2 and its y-intercept is 1.
Pls help pls
10 POINTS pls
Answer:the answerrr is 55tktktng
Step-by-step explanation:
Answer:
f(x)=-2x-5
f= -2 (-6) -5
f= 12-5
f= 7 so the answer is A
the answer is C, y= -200x +6000
Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order. What is the probability that either the words BAD or CAB will appear as part of the row? Enter your answer as a percent, to the nearest tenth of a percent, like this: 42.5%
The probability that either the words BAD or CAB will appear as part of the row is 16.7%
How to determine the probability that either the words BAD or CAB?We have 4 places where we can put the cards.
Let's count the number of possible outcomes for each place.
In the first place, we can put one of 4 cards.
In the second place, we can put one of 3 cards (because one card was taken in the first place).
In the third place, we can put one of 2 cards
In the last place, we can put one of one cards.
The total number of different combinations is the product between the number of options for each place, then we have:
4×3×2×1 = 24
Now we need to count the number of combinations such that the words BAD or CAB appear. We have:
BADC
CBAD
CABD
DCAB
That is 4 out of 24.
Thus, the probability that either the words BAD or CAB will appear as part of the row will be:
P(BAD or CAB) = 4/24 = 16.7%
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The probability is 16.7%
HELP PLEASE!
11 POINTS!
Answer:
yellow= 66ft^3
blue=312 ft^3
Step-by-step explanation:
small box volume + large box volume
small box:
1*1*2=2ft^3
large box:
8*2*4=64ft^3
total = 2+64=66ft^3
blue
small block= 4*6*2=48
large block=12*2*12=264
total= 48+264=312
Pat’s Pizza Shack offers customers two choices of crust, three choices of sauce, and four choices of toppings shown below. If a 1-topping pizza is selected at random, what is the probability that it will be deep dish crust, with traditional sauce and green peppers?
Answer:
1/24 (fraction form)
hope this helps