The value of equation (x + y) will be 1.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation are;
2y + 5x = 5 ... (i)
4y - x = 21 ... (ii)
Now, Solve both the equation and find the value of x and y as;
Multiply by 2 in equation (i) we get;
4y + 10x = 10
Subtract above equation by (ii);
4y + 10x - (4y - x) = 21 - 11
11x = 11
x = 1
And, 2y + 5x = 5
Substitute x = 1;
2y + 5x = 5
2y + 5 = 5
2y = 0
y = 0
So, x + y = 1 + 0 = 1
Thus, The value of (x + y) will be 1.
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How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the .
Options: numerator, opposite of the numerator, denominator, opposite of the denominator, 0
The division property of equality informs us quite simply that if we divide both sides of an equation by the same number, then the resulting equation is unaltered. This is known as the distributive property of equality.
How can we make sense of this information?It is important to keep in mind that the value of a fraction is always equivalent to the numerator of the fraction if the denominator of the fraction is 1 and the numerator of the fraction is anything other than zero.
To speak in terms of fractions is to refer to numbers that are not whole.
The value of the numerator in a fraction is determined by whether or not the numerator is nonzero and whether or not the denominator is 1.
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A line passes through the point (5,-2) and has a slope of -3
Answer: not sure
Step-by-step explanation: this: by this -
Equals this: ur mom
Find the inverse function in slope-intercept form f(x)=x-5
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:f{}^{-1}(x) = x +5 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
We need to find the inverse of given function; f(x) = x - 5
[tex]\qquad \tt \rightarrow \: y = x - 5[/tex]
here, write x in terms of y.
[tex]\qquad \tt \rightarrow \: x = y + 5[/tex]
replace x with [tex]{\tt{{f}^{-1} (x)} } [/tex] and y with x, you will get your required inverse function.
[tex]\qquad \tt \rightarrow \: f {}^{ - 1} (x) = x + 5[/tex]
And it's already in slope intercept form
[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]
where, slope (m) = 1 and y intercept (c) = 5
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
need to show my work and find the surface area
4) The surface area of the square pyramid is; 145 ft²
5) The surface area of the rectangular prism is; 948 ft²
How to find the surface area of regular shapes?
4) For the square pyramid, we see that the faces have been broken down into 4 equal rectangles and one square base.
We know that;
Area of triangle = 1/2 * base * height
Thus
Area of 4 triangles = 4(1/2 * 5 * 12) = 120 ft²
Area of square = 5 * 5 = 25 ft²
Total surface area = 120 + 25 = 145 ft²
5) The surface area of a rectangular prism is;
A = 2(wl + hl + hw)
Thus, Area = 2((20 * 3) + (20 * 18) + (18 * 3))
Area = 2(474)
Surface area = 948 ft²
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Please answer the math question or help me on this.
The equation that represents the proportional relationship between the number of red paint and white paint is: y = 1/4x.
How to Write an Equation of a Proportional Relationship?A proportional relationship between two variables, x and y, where k represents the constant of proportionality or unit rate, can be expressed in slope-intercept form as: y = kx.
To find the value of k, which is the unit rate, the coordinates of any point on the line can be used and solved as: k = y/x.
Given the graph that represents the relationship between the number of red paint and white paint, we can use a point on the line, say (4, 1) to find k:
Unit rate/constant of proportionality, k = y/x = 1/4.
Substitute k = 1/4 into y = kx:
y = 1/4x.
The equation is: y = 1/4x.
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Estimate the quotient of 56.6 ÷ 7.21.
6
7
8
9
Answer:
56.6 estimated= 56
7.21 estimated=7
56/7= 8
pls mark as brainliest
Answer:
56.6 estimated= 56
7.21 estimated=7
56/7= 8
Step-by-step explanation:
The number of students at Longview Middle School decreased by 0.75% from the number of students the previous year. To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares. How many of the smaller squares will be shaded to represent 0.75%?
The area of Nevada is about 245% of the area of Ohio. How many squares would be shaded on 10 × 10 grids to represent 245%?
The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.
The number of squares to correctly represent 245% on the grid is; 245.
What is the number of smaller squares which would be shaded to represent 0.75%?It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.
Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;
The percentage, 0.75% can be represented by shading 75 smaller squares.
Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.
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on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%.
on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%. then overall raise is 16%
on june 10, 2010 the boston globe reported that in the six years between 2006 and 2012 boston firefighters received raises of 2%, 2.5%, 3%, 3.5%, 2.5%, and 1.5%.
let us assume the amount be 100
in 2007 it increase at 2% then it become 102
in 2008 at rate 2.5% then =102+2.55=104.55
in 2009 at rate 3% then it become =3.1365+104.55= 107.68
in 2010 at rate 3.5% = 3.7690+107.68=111.44
in 2011 at rate 2.5% = 2.786+111.44=114.22
in 2012 at rate 1.5%= 1.71+114.22=115.93
Hence, overall increase is 16%
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Miguel can type 448 words in 8 minutes. Jaycee can type
700 words in 25 minutes. Who types faster?
Answer:
umm i will explain
Step-by-step explanation:
miguel = 448 in 8 min
jaycee = 700 in 25 min
in 1 min miguel can type=
448/8 = 56 words
in 1 min jaycee can type=
700/25 = 28 words
so miguel can type's faster than jaycee
HELP FOR 40 PTS AND BRAINLY :)
Answer:
A. 183Step-by-step explanation:
To solve this problem, use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract112-38*14÷14+109
First thing you do is multiply.
[tex]\sf{38*14\div14}[/tex]
38*14=532
532÷14=38
112-38+109
Add and subtract the numbers from left to right.
[tex]\sf{112-38+109}[/tex]
[tex]\sf{112-38=74}[/tex]
[tex]\sf{74+109=\boxed{\sf{183}}[/tex]
[tex]\Rightarrow \boxed{\sf{183}}[/tex]
Therefore, the correct answer is A. 183.
I hope this helps, let me know if you have any questions.
Answer:
I’m believing it is A. 183
Step-by-step explanation:
is correct don’t you;)
PLEASE I NEED ANSWER
Answer:
C and D. The x-axis is horizontal, the y-axis is vertical. Quadrant 3 is where you would find a point where the x is positive and the y is negative. Quadrant 3 is below the x-axis and is to the left of the y-axis.
Step-by-step explanation:
Hope it helps! =D
3/4 divided by 2/x simplified
Answer:3
Step-by-step explanation:
(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3
What is the pressure when 650N is applied over 40m2?
Answer:
16.25 pascal
Step-by-step explanation:
pressure=force/area
pressure=650/40
pressure=16.25 pascal
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Cindy needs c cups of flour to make brownies. She has 5 cups of flour in her cupboard. Write an expression that shows how many cups of flour Cindy will have left after making the brownies.
The expression for the number of cups of flour Cindy has left in the cupboard is y = 5 - c.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Let c be the number of cups of flour Cindy needs in her cupboard.
Let y be the number of cups of flour Cindy has left after making the brownies.
Now, the total number of cups in the cupboard is 5.
So, the expression for the total number of cups will be:
c + y = 5
Subtracting c from each side of the equation.
c + y - c = 5 - c
y = 5 - c
Therefore, the expression for the number of cups left is y = 5- c.
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A penguin walks south. it completes the first 1/3 mile in 1/5 hour and continues walking at the same rate. what is the penguin's speed in miles per hour?
In distance, the penguin speed in mi/hr is 1.67mi/hr.
What is distance in math?
A measurement of the distance between two places along a line or line segment.the length or width between two objects, points, lines, etc. remoteness is the state or fact of something or someone being physically distant from another. A straight line in space It would take too long to walk seven miles in one hour. a distance; a space: The ship was encircled by a sizable body of water.Distance = 1/3 mile
Time = 1/5 hour
Speed of the penguin = Distance/Time taken
Substitute the given data into the speed formula;
Speed = (1/3)/(1/5)
Speed = 1/3 * 5/1
Speed = 5/3
Speed = 1.67miles/hour
Hence the penguin speed in mi/hr is 1.67mi/hr
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Under his cell phone plan, Julian pays a flat cost of $52 per month and $3 per gigabyte. He wants to keep his bill at $58 per month. Which tape diagram could be used to represent the context if gg represents the number of gigabytes of data Julian can use while staying within his budget?
The tape diagram to represent the context regarding the number of gigabytes of data Julian can use while staying within his budget is Tape D.
What is a tape diagram?A tape diagram simply has to do with a diagram that's used to illustrate the relationship between the numbers that are given.
In this case, Julian pays a flat cost of $52 per month and $3 per gigabyte and she wants to keep his bill at $58 per month.
This will be illustrated as:
let g = the number of gigabytes of data.
The expression will be:
52 + 3g = 58
The appropriate tape diagram is D.
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the probability that it will rain is 0.42 what is the probability that it will not rain
Answer:
99.58
Step-by-step explanation:
Im not sure if its correct but the way I got the answer is 100-0.42
What is the answer to this question?
The perimeter of the square BCDE is 8√2 cm.
How to find perimeter of a square?A square is a quadrilateral that has all its sides equal to each other. All the angles in a square are also equal.
Therefore, the perimeter of a square is the sum of the whole sides of the square.
perimeter of the square BCDE = 4l
area of triangle ABC = 2cm²
area of triangle ABC = 1 / 2 bh
2 = 1 / 2 bh
The diagonal of square bisect each other.
The base and height of the triangle ABC are the same.
bh = 4
b² = 4
b = √4
b = 2 cm
Therefore,
BC = √2² + 2²
BC = √8
BC = 2√2 cm
Hence,
perimeter of the square BCDE = 4(2√2)
perimeter of the square BCDE = 8√2 cm
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
If you have a right triangle, then you have 2 legs and 1 hypotenuse. The hypotenuse is the longest side across from the 90 degree angle. Pythagoras came up with the theorem for right triangles that states that the sum of the squares of the 2 legs is equal to the hypotenuse squared.
a woman's boxing match consists of four 2-minute rounds, there is a 1-minute rest interval between each round. what information do you know that will help you find how long a boxing match lasts?
The total time for the boxing match will be 9 minutes.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a woman's boxing match consists of four 2-minute rounds, there is a 1-minute rest interval between each round.
The time of the match will be calculated as:-
Time = 2 x Total rounds + 1
Time = ( 2 x 4 ) + 1
Time = 8 + 1 = 9 minutes
Therefore, the total time for the boxing match will be 9 minutes.
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hoang has worked as a nurse at springfield general hospital for 6 years longer than her friend bill. four years ago, she had been at the hospital for twice as long. how long has each been at the hospital?
By solving the equation we can conclude that Bill worked 4 years and Hoang worked 10 years in the hospital.
What do we mean by equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, Hoang worked for 6 years longer than her friend.
Let, the time Bill worked in the hospital be 'x'.So, Hoang worked in the hospital will be 'x + 6'.She spent twice as much time in the hospital two years ago. Then:
x + 6 - 2 = 2x4 = xx = 4Hence, Bill worked for 4 years and Hoang worked (4+6) for 10 years in the hospital.
Therefore, by solving the equation we can conclude that Bill worked for 4 years and Hoang worked for 10 years in the hospital.
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Is (x - 5) a factor of the following polynomial. Show your work. No work-no credit. 6) 5x³-28x + 13x³ + 5x² + 27x - 10 7) 2x² - 4x² - 10
(x-5) is not a factor of 6) 5x³-28x + 13x³ + 5x² + 27x - 10 and 7) 2x² - 4x² - 10.
What is the long division method?
You can divide huge numbers into numerous smaller groups or portions with the long division tool. The number of groups that can be formed when a dividend is divided by a divisor is given by the quotient, and the number of elements or integers that will remain ungrouped is given by the remainder.
6) we can simplify the equation 5x³-28x + 13x³ + 5x² + 27x - 10 further,
= 5x³+ 13x³+ 5x²-28x + 27x - 10
=[tex]18x^{3}+5x^{2} -x-10[/tex]
similarly, equation 2x² - 4x² - 10 can further be simplified
= [tex]-2x^{2} +0x-10\\[/tex]
now using the long-division method, in both cases (refer to the photo attached):
After referring to the picture we can conclude that (x-5) is not a factor of 6) 5x³-28x + 13x³ + 5x² + 27x - 10 or 7) 2x² - 4x² - 10.
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please help asap! i dont know what to do
rise over run to find the slope
y = mx+b
we rose 1 and went over by 2
which means the equation is 1/2 x or 0.5x
24. How many dimensions does a line have?
a. No dimensions
b. One dimension
c. Two dimensions
d. Three dimensions
Answer:
b. one dimension
Step-by-step explanation:
0 dimensions would be a point.
1 dimension is a line
2 dimensions is an area
3 dimensions is a volume.
x - 2(x - 6) = -x + 12
The value of x in the equation given as x - 2(x - 6) = -x + 12 is 0
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution to the equation?A system of linear equations is a collection of at least two linear equations.
In this case, the equation is given as
x - 2(x - 6) = -x + 12
Open the bracket
So, we have
x - 2x + 12 = -x + 12
Evaluate the like terms
So, we have
x - 2x = -x
This gives
x = 0
Hence, the solution of x in the equation is 0
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Lucy wants to drink 2L of water.
She has poured this amount into a jug. Between breakfast and lunch she pours 2 glasses of water each measuring 250ml.
Between lunch and her dinner she pours 3 glasses also measuring 250 ml.
How much water does she need to drink before going to bed?
The amount of water that Lucy should drink more is 750 ml.
How to calculate the value?From the information, Lucy between breakfast and lunch she pours 2 glasses of water each measuring 250ml. This will be:
= 250ml × 2
= 500ml
Between lunch and her dinner she pours 3 glasses also measuring 250 ml. This will be:
= 3 × 250ml
= 750 ml
Since Lucy wants to drink 2L of water, the amount needed to drink more will be:
= 2L - (750 + 500)
= 2000ml - 1250ml
= 750ml
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Find the slope of the line passing through the points (4,9) and (-6,9)
Answer:
Slope = 0
Step-by-step explanation:
[tex]\text{Slope} = m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}[/tex]
where (x1, y1) and (x2, y2) are any two points on the line
Given he two points (4, 9) and (-6, 9)
m = (9 - 9)/(-6 - 4) = 0/-10 = 0
Show all work. Round all percentages to the nearest tenth of a percent. Mr. McCullough paid 80 people to say they were his friends. After he paid them, 26 of them still did not claim to be his friend. What percent of the people he paid claimed to be his friends?
The percent of the people he paid claimed to be his friends is 67.5%
Given,
Mr. McCullough paid 80 people to say they were his friends.
and, After he paid them, 26 of them still did not claim to be his friend.
To find the percent of the people he paid claimed to be his friends
Now, According to the question:
Based on the given condition,
Formulate :
(80- 26) ÷ 80
Calculate:
(80- 26) / 80
= 54/80
Simplify
= 27/40
=0.675
Convert to percentage;
Multiply a number to both the numerator and the denominator
0.675 × 100/100
Calculate
67.5 / 100
= 67.5%
Hence, The percent of the people he paid claimed to be his friends is 67.5%.
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A stack of recyclable newspaper 36 inches high will save one tree. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers. How many trees would be saved from a stack of newspapers 24 feet high?
The number of trees that could be saved is 8 trees.
What is the number of trees?We know that papers are obtained from trees. The trees have to be cut down and then the Malina from the trees could be used in the production of paper.
It is also possible to save the trees by decreasing the number of trees that have to be cut by the recycling of the paper. The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers.
If stack of recyclable newspaper 36 inches high will save one tree;
Let the stack of recyclable newspaper = s
Number of trees = n
s α n
Introducing a constant of proportionality
s = kn
k = s/n
k = 36 inches/1
k = 36 inches
When the height is 24 feet high of 288 inches
n = s/k
n = 288 inches/36 inches
n = 8 trees
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Which equation is equivalent to the equation 4x + 28 = 40?
a. 4 (x + 28) = 40
b. 4 (x + 7) = 40
c. 4x = 68
d. 32x = 40
Answer:
b
Step-by-step explanation:
4x + 28 = 40
4x + 4*7 = 40
4(x+7) = 40