To calculate a fraction, it is almost the same as calculating a number normal to the power. The numerator and denominator of the fraction are multiplied as many times as possible indicated by its exponent, then:
[tex]\boldsymbol{\sf{\left(\dfrac{1}{9}\right)^{2}=\dfrac{1\times1}{9\times9}=\cfrac{1}{81} }}[/tex]
Therefore the fraction 1/81 is already in reduced form, so it is no longer possible to simplify it.
LEUKEEXO Q
Which value of y makes the equation = 12 true?
After calculating equation we have come to find that the value of y is equal to 0.525 is true
What is an equation?An equation is formed by joining two expressions with the equal sign "=". The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
Typically, the right-hand side of an equation is assumed to be zero. This does not reduce generality because we can balance it by subtracting the expression on the right-hand side from the expressions on both sides.
We have given 12y - 1 / 2 = 8y + 8 / 5
lets solve it
⇒ 12y - 1 / 2 = 8y + 8 / 5
⇒ 12y -8y = 8 / 5 + 1 / 2
⇒ 4y = 21/10
⇒ y = 21/40
⇒ y = 0.525
Thus, the value of y is equal to 0.525 is true
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Full question
Which value of y makes this equation true?
12y - 1 / 2 = 8y + 8 / 5
One bar of candy A and two bars of candy B have 770 calories. Two bars of candy A and one bar of candy B contain
784 calories. Find the caloric content of each candy bar.
Candy bar A has :
Candy bar B has:
PLS HELP RUNNING OUT OF TIME
The x-intercept of a line is -5 and the y-intercept of the line is -2. What is the equation of the line?
A. y = - 5/2x -5
B. y = 2/5x + 2
C. y = 5/2x - 2
D. y = -2/5x - 2
The equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)
How to derive the equation of a line based on information about two intercepts
Lines are represented by first grade polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept of the line, and x and y are the independent and dependent variables, respectively.
We can find the values of the slope and the y-intercept by knowing the location of two distinct points on Cartesian plane. If we know that (x₁, y₁) = (- 5, 0) and (x₂, y₂) = (0, - 2), then the equation of the line is:
- 5 · m + b = 0 (1)
b = - 2 (2)
The solution to the system of linear equations is (m, b) = (- 2 / 5, - 2). Lastly, the equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)
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What is the equation of a line that is perpendicular to the line x − 2y = 4? A. y = 1/2x − 4 B. y = −1/2x + 6 C. y = 2x − 3 D. y = −2x + 8
Answer:
The answer is D. y=-2x+8
Step-by-step explanation:
Hope this helps!!
Last month, Alma was able to volunteer in a community pet shelter for 2,760 minutes. How many hours did she volunteer?
The number of hours Alma volunteered is 46 hours.
What is time conversion?
The process of time conversion changing or converting the unit of time from one unit to another.
For example, it can be converting seconds to minutes, converting minutes to hour or converting hours to minutes or hours to seconds.
Basically, time can be converted from one unit to another.
The number of hours Alma volunteered is calculated as follows;
60 minutes = 1 hour
2,760 minutes = ?
= (2760 x 1) / 60
= 46 hours
Thus, the number of hours Alma volunteered is 46 hours.
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Answer:
Step-by-step explanation:
46
Which of the following is an equivalent expression of 14x2 +18x + 5? (NEED THIS REALLY FAST)
A: 32x3 + 5
B: 14x2(18x + 5)
C: 5(14x2 + 18x)
D: 18x + 14x2 + 5
The equivalent expression of 14x2 +18x + 5 is 18x + 14x2 + 5, the correct option is D.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
The function 14x2 +18x + 5
Now,
18x + 14x^2 + 5
This expression is equivalent to 14x^2 + 18x + 5, because it has the same terms but in a different order. You can use the commutative property of addition to rearrange the terms in any order without changing the value of the expression. For example:
14x^2 + 18x + 5 = (14x^2 + 5) + (18x)
14x^2 + 18x + 5 = (18x) + (14x^2 + 5)
14x^2 + 18x + 5 = (18x) + (5) + (14x^2)
14x^2 + 18x + 5 = (5) + (18x) + (14x^2)
All of these expressions are equivalent to each other and to the original expression.
Therefore, the equation will be 18x + 14x^2 + 5.
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one mousetrap car contestant researched the speed of actual race cars. he found that when nascar drivers race on the phoenix international raceway they make 312 laps. in april 2009 the race that was held there lasted for about 3 hours. what was the approximate rate the racers were traveling one mouse trap car contestant research the speed of actual race cars he found that one NASCAR drivers race on the Phoenix International Raceway they make 312 laps in April 2009 the race that was held there lasted for about 3 hours what was the approximate right the races were traveling
Answer:
104 mph
Step-by-step explanation:
The Phoenix International Raceway is 1 Mile so they did 312 miles in 3 hours.
Rate = Distance/Time
R = 312/3 = 104/1
The racers were traveling at 104 miles per hour.
Factorize this does it have Any breaking form??
4a^2+4a-5
Answer:
[tex](2a + 1+\sqrt{6})(2a + 1-\sqrt{6})[/tex]==========================
Identities we will use:
[tex]a^2+2ab+b^2=(a+b)^2[/tex][tex]a^2-b^2=(a+b)(a-b)[/tex]===========================
Given expression:
[tex]4a^2+4a-5[/tex]Factorize it by completing the square and setting the difference of squares:
[tex]4a^2+4a + 1-6=[/tex][tex](2a)^2+2*1*2a + 1^2-6=[/tex][tex](2a+1)^2-6=[/tex][tex](2a + 1+\sqrt{6})(2a + 1-\sqrt{6})[/tex]13. Consider the two repeating decimals shown
below.
0.31313131...
0.02020202...
a. By simply looking at the decimal
representations, what is the sum of these
two rational numbers? Write as a decimal
and as a fraction.
b.
Verify your answer by finding fractions that
represent each decimal. Add the fractions.
c. Write the difference of the two numbers as a
repeating decimal.
1) The decimal 0.31313131...as a fraction is; 310/990
2) The decimal 0.02020202 as a fraction is; 200/9990
3) The difference of the two numbers as a repeating decimal is; 0.29292929
How to change decimal to fractions?We are given the decimals as;
0.31313131...
0.02020202...
1) The decimal 0.31313131... is repeating decimal.
If we write it as;
x = 0.31313131...
Multiply both sides by 10 to get;
10x = 3.131313 --- (1)
Multiply both sides of initial equation by 1000 to get;
1000x = 313.131313 ----(2)
Subtract eq 1 from eq 2 to get;
990x = 310
x = 310/990
2) The decimal 0.02020202 is a repeating decimal.
If we write it as;
x = 0.02020202...
Multiply both sides by 100 to get;
10x = 2.020202 --- (1)
Multiply both sides of initial equation by 10000 to get;
10000x = 202.0202 02 ----(2)
Subtract eq 1 from eq 2 to get;
9990x = 200
x = 200/9990
3) The difference of the two numbers as a repeating decimal is;
0.31313131 - 0.02020202 = 0.29292929
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The equation that converts Celsius to Fahrenheit is C = 5/9 (F-32)
. Use it to calculate the temperature in Celsius when it is 60 degrees Fahrenheit. (Round to the nearest tenth)
Answer:
C=0
Step-by-step explanation:
C = 5/9 (60-32)
C= 5/9 (28)
C=15.55555556 (round to the nearest tenth)
C=15.6 - ANSWER
Una fotocopiadora reduce en un 30% el tamaño original de un documento. ¿Cuál es su escala de reducción?
After reduction of original size of a document by [tex]30%[/tex]%, the reduction scale is 70% of original size i.e., [tex]70:100=7:10[/tex]
As per the question statement, A photocopier reduces the original size of a document by 30%. We are supposed to find out what is the reduction scale.
Let say the document original size to be [tex]100%[/tex]% and if 30% is reduced by the photocopier, the remaining 70% will be the original size.
Hence reduction scale = [tex]70:100 = 7:10[/tex]
Therefore the reduction scale is 70% of the original size.
Reduction scale: A form can be made larger or smaller by using a scale factor. The linear scale factor of a reduction/enlargement figure can be used to compute a missing length.To know more about Reduction scale, click on the link given below:
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I=Prt. You borrow $10,000 from the bank at a 8% rate for 5 years. Find
the simple interest you will pay on this loan.
Answer:14 000
Step-by-step explanation:
Simple interest formula: A=P(1+in)
A= amount after interest is added
P= initial amount (10000)
i= interest rate (8%)
n= number of periods (5 years)
Now substitute what you have into the simple interest formula:
A=P(1+in)
A=10000(1+(8/100)(5))
A= 14 000
The reason why 8 is divided by 100 is that 8 is a percentage. Unless you have a percentage function on your calculator, I'd strongly encourage you to ALWAYS divide your percentages by 100.
How do I simplify +(-11) I am just saying this to add letters
+(-11) is -11. You're "adding" -11 when in reality you're taking away 11 unless:
the equation looks like: -6+(-11)
the answer would be -17 because you're adding a negative to a negative. Taking away from a negative number is simply moving further down the negative number line, which makes the negative numbers "increase" in value
But if an equation looks like: 6+(-11)
the answer would be -5 since you are taking away 11 from a positive number.
Hope this makes sense and answers your question.
Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 74.6 beats per minute. Four of the pulse rates are
81, 54, 77, and 68.
a. Find the missing value.
b. Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n
values can be freely assigned before the remaining values are determined? (The result is referred to as the number of degrees of freedom.)
Part (a)
x = the missing value
The set is {81, 54, 77, 68, x}
Add up those values and divide by 5 to compute the mean. Set this equal to the 74.6 stated. Then solve for x like so:
(81+54+77+68+x)/5 = 74.6
(280+x)/5 = 74.6
280+x = 5*74.6
280+x = 373
x = 373-280
x = 93
Answer: The missing value is 93========================================================
Part (b)
In the previous part, we have n = 5 values and n-1 = 5-1 = 4 of them can be freely selected. The 5th final value is locked in based on what those previous four values are. That 5th value being x mentioned earlier.
This shows that the degrees of freedom is n-1
In other words, one value is determined by the other values in the set.
Answer: n-1(4⋅5)(x⋅y) is what property?
The given expression (4⋅5)(x⋅y) has a multiplication property.
What is the multiplication property?When we multiply both sides of an equation by the same number, the two sides remain equal, according to the multiplication property of equality. According to the Multiplication Property for Equations, an equation can be multiplied or divided by the same number on each side of the equation without changing the solution. Multiplication has the commutative property: Changing the order of the factors has no effect on the product. For instance, 4 × 3 = 3 × 4, 4 times 3 = 3 times 4 4 × 3=3 × 4 4, multiplied by 3, equals 3, multiplied by 4.Multiplication Properties
Multiplication's commutative property.Multiplication associative property.Multiplication's Distributive Property.Multiplication's Identity PropertySo, (4⋅5)(x⋅y) is a multiplication property as:
4(x-y)-5(x-y) = 5(x-y)-4(x-y)Therefore, the given expression has a multiplication property.
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Four fifths is equal to ten sixteenths of a number.
The Four-fifths is equal to ten-sixteenths of a number is x=32/25.
Given the statement is four-fifths is equal to ten-sixteenths of a number.
A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.
Let us assume the given number be x.
According to the given statement,
Four fifths means 4/5. ......(1)
And ten sixteenths means 10/16.
It is also given that ten sixteenths of a number means is (10/16)x. .......(2)
Now, we will equate equation (1) and equation (2) according to the given statement is
4/5=(10/16)x
Further, we will cross multiply both sides, we get
4×16=10x×5
64=50x
Now, we will divide both sides by 50, we get
64/50=50x/50
64/50=x
32/25=x
Hence, the number for the given statement "Four fifths is equal to ten sixteenths of a number" is 32/25.
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Each folded fabric has a volume of 432 cubic inches. How many folded fabrics can fit inside a shipping box with the dimensions of 1 foot by 1 foot by 2 feet?
The folded fabrics that can fit inside a shipping box with the dimensions of 1 foot by 1 foot by 2 feet will be 18.
How to calculate the value?It should be noted that 12 inches = 1 feet
Therefore, 432 cubic inches will be converted to feet and this will be:
= 432/12
= 36
Therefore the number of folded fabric will be:
= 36 / (1 × 1 × 2)
= 36/2
= 18
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Enter the sum of the numbers as a product of their GCF and another sum
15 + 40
The sum of the numbers as a product of their GCF is ___ x (__ + ___)
Answer:
The GCF (Greatest Common Factor) is the biggest factor common to both of these numbers, so we must determine the factors for each:
15--->1,15
3,5
20--->1,20
2,10
4,5
As we can see, 1 and 5 are the common factors and 5 is the biggest (greatest). Therefore, we can "pull" out a 5 from both numbers and get a resulting equation of:
15 + 20--->5(3 + 4)
Hope this helps!
Step-by-step explanation:
Find the measurement indicated in each parallelogram.
Answer:
EF=22
LM=19
ML=
Step-by-step explanation:
Yossi used to have a square garage with 250 ft 2 of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
5√10 ≈ 15.81 ft5√15 ≈ 19.36 ft22.47%Step-by-step explanation:
You want to know the length of the sides of a 250 ft² square, and one with an area 50% larger. You also want to know the percentage change in side length.
Side lengthThe area of a square is given by the formula ...
A = s²
Solving for the side length (s), we find ...
s = √A
The side length of a square with 250 ft² area is ...
s = √250 ft = 5√10 ft ≈ 15.81 ft . . . side length
The area of a square that has 50% more area is ...
(250 ft²) × (1 +50%) = 375 ft²
The side length of that square is ...
√375 ft = 5√15 ft ≈ 19.36 ft . . . side length
Percentage changeThe percentage change can be found from ...
percentage change = ((new value)/(old value) -1) × 100%
= ((5√15)/(5√10) -1) × 100% = (√1.5 -1) × 100% ≈ 22.47%
The percentage increase in the length of one side is about 22.47%.
Factor 2x² + 8x - 90 completely.
O a
Ob
OC
Od
(2x +9)(x - 5)
(2x-9)(x - 5)
2(x + 9)(x - 5)
2(x-9)(x - 5)
A
Please helppp
Factors of the polynomial 2x² + 8x - 90 is Option (c) 2(x + 9)(x - 5).
What is Factorization?Factorization is the method used to discover the factors of a given value or mathematical statement. A factor is an integer that is multiplied by another to create the original number. For instance, 2, 3, 6, 9, and 18 are the factors of 18. Likewise, in the case of polynomials, the factors are the polynomials that are multiplied to create the initial polynomial.
Given Equation: 2x² + 8x - 90
Step 1: Pull out like factors from the equation
⇒ 2x² + 8x - 90 = 2 • (x² + 4x - 45)
Step 2: Factorize by splitting the middle term of the equation (x² - 4x - 45)
⇒ x²+ 9x - 5x - 45
Step 3: Take Common factors from the two pairs of the equation
⇒ x(x + 9) - 5(x + 9)
Step 4: Rewrite the polynomial in factored form
⇒ 2(x + 9)(x - 5)
Therefore the factorization result is 2(x + 9)(x - 5).
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i need help with this
Answer:
x=82
Step-by-step explanation:
Because of Supplementary angles we know that x+10 degrees and x+6 degrees is 180 degrees. We combine this to form 16+2x=180
subtract 16 from both sides. 2x=164
divide both sides by 2
x=82
help pleaseeeeeeeeeeee
The value of h(-2) is 65
What is a function?A function can be defined as an expression, law , rule of hypothesis that explains or compares the relationship between two variables - the dependent and the independent variable.
Given the function;
h(x) = 2x^4 - x³ + 2x² - 7x + 3
To determine the function, h(-2)
We substitute the value of x as -2 into the function, we have;
h(-2) = 2(-2)^4 - (-2)^3 + 2(-2)^2 - 7(-2) + 3
expand the bracket
h(-2) = 2(16) - 2(-8) - 7(-2) + 3
h(-2) = 32 + 16 + 14 + 3
h(-2)= 65
Thus, the value of h(-2) is 65
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Please Help Me ;-;
[tex]||3x-1|+5|\ \textless \ 1[/tex]
The value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.
How to illustrate the information?It should be noted that an equation is simply used to show the relationship between the expression or variables.
From the information, 3x - 1 + 5 < 1.
Collect like terms
3x - 1 + 5 < 1.
3x < 1 + 1 - 5
3x < -3
Divide
3x / 3 < -3 / 3
x < 1
Therefore, the value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.
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In an orchard, there are 15 apple trees, 23 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees?
lesson 5.4
1 .Find the measurement of the angle indicated for each trapezoid.
2.Find the measure.
3.Solve for [x]. Each figure is a trapezoid.
4.Find the measurement of the angle indicated for each trapezoid.
Question 1
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]m\angle C+130^{\circ}=180^{\circ} \\ \\ m\angle C=50^{\circ}
[/tex]
Question 2
Drawing PR, we form congruent triangles PQR and PSR. Thus, using the sum of angles in a triangle,
[tex]55^{\circ}+24^{\circ}+m\angle Q=180^{\circ} \\ \\ m\angle Q=101^{\circ}[/tex]
Question 3
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]13x+6+70=180 \\ \\ 13x+76=180 \\ \\ 13x=104 \\ \\ x=8[/tex]
Question 4
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]11x+15+19x+15=180 \\ \\ 30x+30=180 \\ \\ 30x=150 \\ \\ x=5 \\ \\ m\angle B=11(5)+15=70^{\circ}[/tex]
(55 times 2) divided by 5+ 13-7= PEMDAS
55*2=110
110 divided by 5= 22
22+13=35
35-7=28
Answer:
18.33
Step-by-step explanation:
multiply 55×2 you get 110
then since it is +13-7 + is bigger than - ( positive is greater than negative)
it will be 6
so 110 ÷6 = 18.3333333 you put it into 4digits
The answer is 18.33
Hope it will help
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
83.5
Step-by-step explanation:
Median means middle. So in order to get that you need to write the numbers in order and then get the middle number. If the amount of numbers are even then take the 2 middle ones and add the together then divide by two.
89, 52, 78, 92, 98, 64 --> 52, 64, 78, 89, 92, 98
Since you have 2 middle numbers, you must take the middle 2 (78 and 89) and add them.
78 + 89 = 167
Now divide 167 by 2
167 / 2 = 83.5
Answer = 83.5
Does someone mind helping me?
Answer:
Hi there The answer should be 11.45 miles
Step-by-step explanation:
I added 3.7 + 4.5 + 3.2 = 11.45
With a calculator.
hope this helps!
Please help it’s due tomorrow
Answer:
Step-by-step explanation:
