The expression represented by the mathematical sentence is 3/5a - 7 = –36
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to translate the algebraic expression?The expression is given as
"The difference between three-fifths of a number and 7 is –36."
Three-fifths of a number a means multiply 3/5 and the number i.e. 3/5 * a
So, we have
The difference between three-fifths of a number and 7 is –36 ⇒ The difference between 3/5a and 7 is –36
difference means subtraction
So, we have
The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 is –36
"is" means =
So, we have
The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 = –36
Hence, the expression represented by the difference between three-fifths of a number and 7 is –36 is 3/5a - 7 = –36
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Is our divisor a whole number? 13.5 divided by 0.03 [Powers of 10 - What should you multiply by to get a whole number?]
No, the divisor 0.03 is not a whole number, we should multiply by 10² to get a divisor a whole number.
As given in the question,
Given expression:
13.5 divided by 0.03
Dividend of the given expression = 13.5
Divisor of the given expression = 0.03
No, the divisor 0.03 is not a whole number.
Power of 10 which should be multiply by 0.03 to get a whole number
0.03 = 3 /100
(3/100) should get multiply by 100
100 = 10²
0.03 ×10² =3 whole number
Therefore, the divisor 0.03 is not a whole number, we should multiply by 10² to get a divisor a whole number.
The complete question is:
Is our divisor a whole number? 13.5 divided by 0.03 . By what powers of 10 should you multiply by to get a whole number?
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Please help will give brainliest B
Which fraction is closest to zero?
8/12 , 5/8 , 6/10 , 2/3
Answer:
6/10
Step-by-step explanation:
first, use your calculator to convert them to decimals
8/12 = 0.66
6/10 = 0.60
5/8 = 0.625
2/3 = 0.66
then see which one is the smallest
6/10 =0.60
done!!!! your answer
The coordinates of quadrilateral JKLM are J (1,3), K(3, 1), L (-1, -3) and M(-3,-1). What is the perimeter of quadrilateral JKLM?
the coodrinates of JKLM is,
J(1,3) , K(3,1), L(-1,-3) and M(-3,-1)
the length JK is ,
[tex]\begin{gathered} JK=\sqrt[]{(1-3)^2+(3-1)^2} \\ =\sqrt[]{4+4} \\ =\sqrt[]{8} \\ =2\sqrt[]{2} \end{gathered}[/tex]length KL is,
[tex]\begin{gathered} KL=\sqrt[]{(-3-1)^2+(-1-3)^2} \\ =\sqrt[]{16+16} \\ =\sqrt[]{32} \\ =4\sqrt[]{2} \end{gathered}[/tex]Length LM is,
[tex]LM=\sqrt[]{(-3-(-1))^2+(-1-(-3))^2}[/tex][tex]\begin{gathered} LM=\sqrt[]{4+4} \\ LM=2\sqrt[]{2} \end{gathered}[/tex]length MJ
[tex]\sqrt[]{(-1-3)^2+(-3-1)^2}[/tex][tex]\begin{gathered} MJ=\sqrt[]{16+16} \\ MJ=4\sqrt[]{2} \end{gathered}[/tex]so, the perimeter = sum of sides,
= JK + KL + LM + MJ
= 2 root 2 + 4root2 + 2root2 + 4root2
= 12 root 2
thus, the perimeter is 12 root 2
How many times larger than 6 x 10^-2 is 24 x 10^6?
Find the value of the exterior or interior angle
the values of both angles are
2x - 8 = 2*25 - 8
= 42 degree
x -7 = 25 - 7
= 18 degree
What is interior and exterior angles ?Both internal and external angles make up a triangle. The angle that forms between two of a triangle's adjacent sides is known as the interior angle. The angle created between a triangle's side and its next-to-furthest side extending outward is known as the exterior angle. Triangle Angle sum feature of triangle states for ABC that 180 degrees is the sum of the triangle's internal angles.
Calculation2x - 8 + x - 7 + 90 = 180
3x - 15 = 90
x = 25
therefore the values of both angles are
2x - 8 = 2*25 - 8
= 42 degree
x -7 = 25 - 7
= 18 degree
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Find the slope and write an equation of the line which passes through the points.
b
(−3, 9) and (−3, −5)
Answer:
Slope: 0
Equation : y = 9
Plsss mark as Brainliest
Slope:
-5-9/-3+3
=-14/0
= 0
Equation:
input gradient and pair of x and y valuesin y = mx +c
9= 0(-3)+c
9 = 0 +c
c = 9
input gradient and c:
y = 9
(X+3)/6=5/4 find x
A-27/4
B-18
C-9/8
D-9/2
Answer:
d
Step-by-step explanation:
(x+3)/6 = 5/4
butterfly method
4(x+3) = 5×6
4x+12 = 30
4x = 30-12
4x = 18
x = 18/4
x = 9/2
HELP LAST ONE
Add (5a³ + 4a² − 3a + 2) and (a³ − 3a² + 3a − 9). Simplify the
answer.
Answer: 6a³ + a² - 7
Step-by-step explanation:
(5a³ + 4a² − 3a + 2) + (a³ − 3a² + 3a − 9)=
5a³ + a³ + 4a² − 3a² - 3a + 3a + 2 - 9=
6a³ + a² - 0 - 7 = 6a³ + a² - 7
Answer:
6a³ + a²-7
Step-by-step explanation:
1. Get rid of the parentheses by distributing them.
(5a³ + 4a² − 3a + 2) + (a³ − 3a² + 3a − 9) = 5a³ + 4a² − 3a + 2 + a³ − 3a² + 3a − 9
2. Add like-terms.
5a³ + 4a² − 3a + 2 + a³ − 3a² + 3a − 9 = 6a³ + a²-7
i iam in 4th grade, i need to know 5×395=5×(400×-5)
11975 is value of multiplication .
What does multiplication mean in math?
Multiplication in mathematics is a technique for determining the sum of two or more numbers. It is a fundamental operation in mathematics that we perform frequently.When a single number is added up several times, it is said to be multiplied. A 5 multiplied by a 4 results in 20 (5 + 5 + 5 + 5). The number five was taken, and four additions were made. Due to this, multiplication is occasionally referred to as "times."5×395=5×(400×-5)
1975 = 5 * ( - 2000 )
1975 = - 10000
= 10000 + 1975
= 11975
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I need help with this. I honestly forgot how to do algebra 1 and I know that’s embarrassing for me but yea I need help on this whole thing I think I did 1-3 wrong too
The required equation of slope intercept the line parallel to the given line and passing through (4,5) is y = -1/4x + 6.
What exactly does slope intercept mean?
A method of expressing a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line is drawn the y-axis is known as the y-intercept, and the slope refers to how steep the line is.
1) 5x + y = 3
y = - 5x + 3
compare equation y = mx + c
m = -5
2) 7x - 5y = 20
5y = 7x - 20
y = 7/5x - 4
compare equation y = mx + c
m = 7/5
3) y = -1/3x - 4
compare equation y = mx + c
m = -1/3
4) points ( 4,5) parallel to y = 1/4x - 4
m₁ = m₂
compare equation y = mx + c
m₁ = 1/4 c = -4
now lets put the value
1/4 = m₂
So the equation of the line parallel to the given line assuming that its y-intercept is b will be
y = 1/4x + b
the equation of the parallel line which passes through
(4,5, it should satisfy these points.
So let's substitute these points
5 = -4/4 + b
5 = -1 + b
b = 6
Hence the required equation of the line parallel to the given line and passing through (4,5) is
y = -1/4x + 6
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hey math genius can anyone help me out with these questions.. I will mark you brainlist if your answer is correct..
please:):):)
a) Because it is an equilateral triangle, all the sides must have equal lengths.
The perimeter = 24cm -> Each side = 8.
Area = 1/2 b.h = 8.8.1/2 = 32 cm2.
b) A square has all of its sides of equal lengths just like an equilateral triangle.
The perimeter = 24cm -> Each side = 6.
Area = side.side = 6.6 = 36 cm2.
c) Since they have equal perimeters and the same properties (all sides equal) BUT they have different number of sides and lengths, they won't have the same areas.
d) A rectangle. E.g :
A set of lengths of 5cm and 7cm makes a rectangle with a perimeter of 24cm : (5+7).2
But, its area equals 5 x 7 = 35cm2, which is greater than the triangle.
Answer:
a) 27.71 cm²
b) 36 cm²
Step-by-step explanation:
a) Perimeter of equilateral triangle = 3a
Here, a is the side of equilateral triangle.
Perimeter of equilateral triangle = 24 cm
3a = 24 cm
a = 24 ÷ 3
a = 8 cm
[tex]\sf Area \ of \ equilateral \ traingle = \dfrac{\sqrt{3}}{4}a^2[/tex]
[tex]\sf = \dfrac{\sqrt{3}}{4}*8*8\\\\ = 1.732*2*8\\\\ = 27.71 \ cm^2[/tex]
b) Perimeter of square = 4s
Here, s is the side of square.
Perimeter of square = 24 cm
4s = 24
s = 24 ÷ 4
s = 6 cm
Area of square = s*s
= 6 * 6
= 36 cm²
c) When the dimensions (length, width, height) of the shape changes, the area and volume changes.
d) Length of the rectangle is 10 cm and width is 2 cm.
Perimeter of rectangle = 2*length + 2* width
= 2*10 + 2*2
= 20 + 4
= 24 cm
Area of perimeter of rectangle = length *width
= 10 * 2
= 20 cm²
asap !! 50 points!!!!!!!!
Which is bigger? Show your work WITHOUT EVALUATING.
A = 3^2/2^3
or
B = 9^4/4^6
please help, it doesn’t let me give 100 points :/
Answer:
B is bigger
Step-by-step explanation:
a) 3^2 / 2^3
3*3 / 2*2*2
9/8
b) 9^4 / 4^6
9*9*9*9/4*4*4*4*4
6561 / 4096
1.601807
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 find the interquartile range
The interquartile range for the given set of numbers {0,2,4,6,8,10,12,14,16,18,20} is 12 .
The interquartile range(IQR) can be calculated by the formula
IQR = Q₃ - Q₁
where Q₃ is the third quartile
and Q₁ is the first quartile
In the question,
the set of numbers is ascending order is given as
0,2,4,6,8,10,12,14,16,18,20
Q₃ means median of the upper half
the upper half of the data is 12,14,16,18,20
the median of the upper half is 16 ,
So Q₃ = 16 .
Q₁ means median of the lower half
the lower half of the data is 0,2,4,6,8
the median of the lower half is 4 ,
So Q₁ = 4 .
Hence , the IQR = Q₃ - Q₁ = 16-4 = 12 .
So, IQR for given set of numbers is 12.
Therefore , the interquartile range for {0,2,4,6,8,10,12,14,16,18,20} is 12 .
The given question is incomplete , the complete question is
Find the Interquartile range for the given set of numbers 0,2,4,6,8,10,12,14,16,18,20 .
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The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
Note that the rational numbers represented on points- P, Q, R, and S are given as follows: 7/3, 8/3, -4/3, -5/3 respectively. See the explanation below.
What is a rational number?A rational number is defined in mathematics as the proportion or fraction p/q of two integers, a numerator p, and a non-zero denominator q. 3/7, for example, is a rational number, as is every integer.
For the solution above:
Each section in between two numbers is broken into three sections.
Thus, we have a = (6/3), P = (7/3), Q = (8/3) and B = (9/3)
In the same way,
T = = -3/3,
R = -4/3
S = -5/3 and
U = -6/3
Therefore, the rational numbers represented - P, Q, R, and S are given as follows: 7/3, 8/3, -4/3, -5/3.
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Evaluate the expression if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p )
The evaluation of the expression, if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p ) is 46.
How can the expression be simplified?the given expression is t = − 2 | 16 + 4 ( 3 q + p )
Then since we are given m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5
Then, we can substitute all the given values of the terms into the given expression as :
t = − 2 | 16 + 4 ( 3 q + p )
t= -2 I 16+4(-18+2)
t= -2 I 16+4(-16)
t= -2 I 16 -64
t= -2 I -48
t =46
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Hi, could someone please help me with this thanks I don’t understand how they got this
First, we need to know the units they used. For every hectare, there are 2.47105 acres.
Next, we can set up a proportion to solve.
[tex]\displaystyle \frac{\text{\$8,963}}{1 \;acre} =\frac{\text{\$x}}{2.47105 \;acres}[/tex]
Now, we will cross-multiply:
$8,963 * 2.47105 = x
x ≈ $22,148
I was $10 from the answer they ended up with, so I most likely used a different conversion unit factor than they did. However, the steps are still the same.
A series circuit has two resistors having the values of R1= 200 and R2= 300, with a source of 300 V. Compute for the following.
Answer: R1=0
Step-by-step explanation:
R1 = 200 divide R1 = 200 by 2 = R1 = 0
15/14 multiplied by 4/3
Answer:
As a fraction, it would be 10/7 or as a number, 1 and 3/7.
Pls help willing to give 15 points and brainliest for 2 graph questions.
1. The slope of the line on the graph is: 6
2. The graph of the line with a slope of 4/3 is shown in the image below.
What is the Slope of a Line?Slope of a line = change in y / change in x = rise/run.
How to Graph an Equation?The equation that can be used to represent a linear graph can be written in slope-intercept form as y = mx + b, where the value of b is the y-intercept of the line and the value of m is the slope of the line.
1. Using two points on the line, (0, -1) and (1, 5):
Slope of the line = change in y / change in x = (-1 - 5)/(0 - 1)
Slope of the line = -6/-1
Slope of the line = 6
2. Slope (m) = 4/3
A point on the line is given as (1, 3)
Write the equation of the line by substituting (a, b) = (1, 3) and m = 4/3 into y - b = m(x - a):
y - 3 = 4/3(x - 1)
y - 3 = 4/3x - 4/3
y = 4/3x - 4/3 + 3
y = 4/3x + 5/3
The graph of y = 4/3x + 5/3 is shown in the image below.
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Does (-1,3) make the equation y=-3x. true?
Answer: Yes, the point (-1, 3) makes the equation true.
Step-by-step explanation:
You would need to plug in the coordinates to the following places in the equation.
y=-3x
(3) = -3(-1)
3 = 3
Hope this helps!
Have a great day! :)
It is -24° tonight, but the weather reporter predicted it would be 16° warmer tomorrow.
What will the temperature be tomorrow?
Answer:
-8°
Step-by-step explanation:
-24+16=-8
Lesson 6-2practice and problem solving A/B
fiften tickets cost $193.75 what is the average cost of each ticket
Answer:
Step-by-step explanation: do 193.75 divided by 15
6(a) +4 a=1/3
PLEase HELP ME
ASAPP!!!
Answer:
a=1/30
Step-by-step explanation:
6a+4a=1/3
10a=1/3
30a=1
a=1/30
1/30
is the anwser i think.i might be wront tho
The mean of five numbers is 8.2. Four of the numbers are 8, 10, 12 and 10.
Work out the fifth number.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to as the finiteary operations when infinitary operations are taken into consideration. The mean of the five numbers is 8.2, four of numbers are 8, 10, 12 and 10. The fifth number is 1.025.
What is mathematical operation?An operation, often known as a "operand" or "argument," is the function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are operations that are most frequently studied. A constant is operation with arity zero, often known as a nullary operation. An example of operation of arity 3, sometimes known as a ternary operation, is the mixed product.
The arity typically assumed to be limited. The "typical" operations of finite dimensionality are referred to as the finiteary operations when infinitary operations are taken into consideration.
Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.
The mean of five numbers is 8.2. Four numbers are 8, 10, 12 and 10.
Let the number be x,
[tex]\frac{8+10+12+10+x}{5} = 8.2[/tex]
x= 1.025
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The following table shows the number of U.S. coins produced by the Denver Mint from the years
2009 to 2011.
Denver Mint Circulating Coin Production
(in millions)
Year Pennies
Nickels Dimes Quarters
If a coin produced by the Denver Mint in 2010 is selected at random, what is the probability that
the coin is a dime?
Answer: 0.187
Step-by-step explanation:
I just did the question
Under her cell phone plan, Sydney pays a flat cost of $35.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine x x, the number of gigabytes Sydney can use while staying within her budget.
The number of gigabytes that Sydney can use while staying within her budget is less than 2.9 gigabytes.
How to illustrate the information?From the information, Sydney pays a flat cost of $35.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month.
The inequality that can be used to determine x x, the number of gigabytes Sydney can use while staying within her budget will be:
35.50 + 5x < 50
Collect like terms
5x < 50 - 35.50
5x < 14.50
x < 14.50 / 5
x < 2.9
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What is 2/2-6*23 Please answer this question.
what is the solution for this inequality -13x<65
Step-by-step explanation:
-13x < 65
-13x * -1 < 65 * -1
13x > -65
13x/13 > -65/13
x > -5
Hope this helps! :)
-15 < a + 3 + 8a < 12
Answer:
[tex]-2 < a < 1[/tex]
Step-by-step explanation:
-15 < 9a + 3 < 12 (Combine like terms)
-18 < 9a < 9 (Subtraction Property)
-2 < a < 1 (Division Property)
Note that just like solving a linear equation, instead of having two sides, you have three. And, whatever you carry out on one side, you have to carry out on all three.
Although, unlike linear equations, if you are dividing/multiplying all sides with a negative integer, then you have to flip the signs.