Answer:
-4.3
Step-by-step explanation:
a+(-1.2)= -5.5
a-1.2=-5.5
add 1.2 to both sides
a-1.2+1.2= - 5.5+1.2
simplify
a= - 4.3
Answer:
a=-4.3
Why?:
You would have to keep the answer negative, this is because if it were to be positive it would make the negative decrease.
You could easily get a line paper and line up-
-4.3
+ -1.2
_______
-5.5
-5.5-(-1.2) would make the equation end up like -5.5+1.2, and -5.5+1.2=-4.3
Therefore,
a=-4.3
Simplify (square root 3)(^5 square root 3)
Answer:
[tex]3^{\frac{7}{10} }[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Answer:
Step-by-step explanation:
Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]
Problema de Matematicas En una fábrica de papel se han elaborado, 238 942 rollos de papel higiénico, 763 924 rollos de papel toalla y 73 947 rollos de servilletas, del total de rollos se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son.
Answer:
Se faltan por vender 201,419 rollos.
Step-by-step explanation:
Total de rollos:
238 942 rollos de papel higiénico
763 924 rollos de papel toalla
73 947 rollos de servilletas
Entonces:
[tex]T = 238942+763924+73947 = 1076813[/tex]
Se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son?
Total subtraído por la cuantidad vendida. Entonces:
[tex]V = 1076813 - 875394 = 201419[/tex]
Se faltan por vender 201,419 rollos.
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x - 1)(x-9)
B. (x + 1)(x-9)
C. (x - 1)(x+9)
D. (x + 1)(x + 9)
Answer:
Step-by-step explanation:
The zeros are located at x = 1 and x = 9. If x = 1 is a solution, then the factor is (x - 1); if x = 9 is a solution, then the factor is (x - 9). Choice A is the one you want. FOIL these out and you will get the equation for the quadratic.
Will Mark Brainlest helpppp plssss
Answer:
C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]
Step-by-step explanation:
A = B+ C then
C = A - B
C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )
= [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]
Help memememememe please
Answer:
good evening good evening good evening good evening
Step-by-step explanation:
w
Answer:
∠b = 54°
they add up to 180
7x + 14 + 5x - 26 = 180
12x = 192
x=16
thus ∠b = 54°
Step-by-step explanation:
Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!
Answer:
Step-by-step explanation:
I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7
-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D
-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution
--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution
Answer:
1 4/5
Step-by-step explanation:
2x+7>-3x-2
2x+3x>-2-7
5x/5>-9/5
=1 4/5
Thanks Hope It Help
Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98
2)10,290
105
98
10290
(3y-2z) (3y+2z)
3y(3y+2z)-2z(3y+2z)
9y2+6yz-2z(3y+2z)
9y2+6yz-6yz-4z2
9y2-4z2
easy algebra question below first correct answer gets brainliest
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annual interest rate of 2.5%. The second plan requires an initial deposit of $400 and interest grows continuously at a rate of 2% per year. Leo wrote a system of equations to represent the account balance of either plan, y, after x years. Which two equations are part of the system?
OPTIONS ARE BELOW
Answer:
First and Second option choices
Step-by-step Explanation:
1st case:
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)×
y = 500(1+2.5/100)×
y = 500(1+0.025)×
y = 500(1.025)×
2nd case:
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)×
y = 400(1+0.02)×
y = 400(1.02)×
The correct option is (A) and (B)
What are Equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)^×
y = 500(1+2.5/100^)×
y = 500(1+0.025)^×
y = 500(1.025)^×
again,
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)^×
y = 400(1+0.02)^×
y = 400(1.02)^×
Learn more about Algebra here:
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Which models best illustrates the inequality and its graph?
a.) tina can type at least 60 words per minute
b.)tina can type at most 60 words per minute
c.)tina can type no more than 60 words per minute
d.) tina can type more than 60 words per minute
Answer:
a)
Step-by-step explanation:
The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.
a.) tina can type at least 60 words per minute
At least 60 means greater than or equal to 60.
This is the answer.
b.)tina can type at most 60 words per minute
This is less than or equal to 60.
c.)tina can type no more than 60 words per minute
This means less than or equal to 60.
d.) tina can type more than 60 words per minute
This means greater than 60.
hlpppppppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation:
-7.5 is less than 6.5
help please ASAP!!! Got a lot of math to do here comes an all nighter :(
Answer:
110
Step-by-step explanation:
2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110
Here Enjoy :)
Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
Solve for a. a+|-23+6|=-32
Plz help
Answer:
a = -49
Step-by-step explanation:
a+|-23+6|=-32
Simplify the absolute value term
a+|-17|=-32
a+17=-32
Subtract 17 from each side
a +17-17 = -32-17
a = -49
Answer:
a = −49
Step-by-step explanation:
a + ∣ − 17∣ = −32
a + 17 = −32
a = −32 − 17
Simplify.
-32 - 17 to -49.
Given Isosceles Trapezoid TRAP, if mP=98, find mT
Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°
Find the length of PR from the given figure ( step by step ).
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR = [tex]\sqrt{1521}[/tex] = 39
Answer:
[tex]PR=39[/tex]
Step-by-step explanation:
The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+b^2=c^2[/tex]
[tex]PQ^2+PR^2=QR^2[/tex]
[tex]80^2+PR^2=89^2\\[/tex]
Simplify,
[tex]80^2+PR^2=89^2\\[/tex]
[tex]6400+PR^2=7921[/tex]
Inverse operations,
[tex]6400+PR^2=7921[/tex]
[tex]PR^2=1521\\\\PR=39[/tex]
Which function is shown in the graph? A. y = (2 + x)/(1 - x) B. y = 5/(3 - x) c . y = (5x)/(1 + x) d. y = (5 + 3x)/(1 + x)
Answer:
I believe it's D
Step-by-step explanation:
You plug in 0 and you get 5 as your Y value
The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The graph is first shifted to the right by 4 units and another one to the left by 1/2.
So, we have:
y = (5 + 3x)/(1 + x)
Hence, the function of the graph is y = (5 + 3x)/(1 + x)
Read more about function transformation at:
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Pears cost 38p how much for 15 pears?
Answer:
if pears cost 38p
then 15=15×38
=570p
A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?
Answer: 16 bags
Step-by-step explanation:
(20) (4/5) = 16
(16) (3) / 2 = 24
Please help explanation if possible
Answer:
y=-11
Step-by-step explanation:
A line can be represented by a linear equation of
[tex]y = mx + b[/tex]
where m is the slope and y is the y intercept.
The slope is 0 so this function will be
[tex]y = b[/tex]
Which is also called a constant function. The y intercept is -11. So the answer is
[tex]y = - 11[/tex]
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answer:
a=15
Step-by-step explanation:
3a+b = 54
Let b=9
3a+9 = 54
Subtract 9 from each side
3a+9-9= 54-9
3a = 45
Divide each side by 3
3a/3 = 45/3
a = 15
Answer:
[tex]3a+b=54[/tex]
[tex]3a+9=54\:[b=9][/tex]
[tex]3a=54-9[/tex]
Subtract 9 from both sides
[tex]3a=45[/tex]
Divide both sides by 3
[tex]\frac{3a}{3}=\frac{45}{3}[/tex]
[tex]a=15[/tex]
OAmalOHopeO
PLEASE HELP!!! I dont understand
Answer:
x^4+x^2+5
Step-by-step explanation:
f(x) = x^2 -3x+7
g(x) = x^2+2
f(g(x) = Place g(x) in for x in the function f(x)
= (x^2+2)^2 -3(x^2+2) +7
FOIL and Distribute
= x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7
Combine like terms
= x^4+x^2+5
HELP ME PLS ITS URGENT
Answer: -3 (option D) is the answer.
(-8)-(-5)= -8+5 = -3
4(1-2x)>32
solve for x
Answer:
x < -7/2
Step-by-step explanation:
First, perform the indicated multiplication:
4(1-2x)>32 becomes 4 - 8x > 32.
Next, isolate the -8x term by subtracting 4 from both sides of this inequality:
-8x > 28
Finally, solve for x by dividing both sides by -8. This requires that we reverse the direction of the inequality sign:
x < -28/8, or, after reduction, x < -7/2
james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
HOPE IT HELPS YOU
MARK ME BRAINLIEST
x^3+(y+z)^3 factorise it broefly.
Answer:
x^3 + y^3 + z^3
Step-by-step explanation:
x^3+(y+z)^3
Remove brackets
x^3 + y^3 + z^3
In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.
The cosine of the acute angles are 0.80 and 0.60 respectively
The given parameters are:
[tex]Leg\ 1 = 4x[/tex]
[tex]Leg\ 2 = 3x[/tex]
[tex]Hypotenuse = 5x[/tex]
Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]
The cosine of the acute angles is calculated using:
[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]
[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]
So, the formula becomes
[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]
[tex]\cos(\alpha) = \frac{4}{5}[/tex]
[tex]\cos(\alpha) = 0.80[/tex]
and
[tex]\cos(\beta) = \frac{3x}{5x}[/tex]
[tex]\cos(\beta) = \frac{3}{5}[/tex]
[tex]\cos(\beta) = 0.60[/tex]
Hence, the cosine of the acute angles are 0.80 and 0.60 respectively
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pls help its a optional math question
Find the length of a pendulum which describes an arc of 33cm when it turns through and angle 27º.
Answer:
70cm
Step-by-step explanation:
33=27/360*2*22/7*r
33*2520/1188=r
83160/1188=r
r=70cm
hope it's right
Given: j(x) = x2 - 2x + 1
Which set of values represents the range of the function for the domain {0, 1, 5}?
Answer:
{1, 0, 16}
Step-by-step explanation:
given..
j(x) = x^2-2x+1
put all given values of domain (1,0 and 5 ) in the equation..
the values you get are range of the function
Answer: 1
Step-by-step explanation
0(2)-2(0)+1=0+0+1= 1
1(1)-(2)(1)+1=1-2+1= 1
(5)(2)-(2)(5)+1=10-10+1= 1
