Given the expression below
[tex](14+7)+3)+10(6-3)[/tex]We can evaluate the expression by simplifying the parenthesis
[tex]\begin{gathered} (14+7)+3)+10(6-3) \\ =(21+3)+10(3) \\ =24+30 \\ =54 \end{gathered}[/tex]Answer: 54
Help pls!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
it should be 180
9 1/4 to 9
20 stays the same
Translate the phrase into an Algebraic expression The sum of 6 and b
The translation of the phrase into an algebraic expression which is the sum of 6 and b is 6+b.
What is an algebraic expression?It should be noted that an algebraic expression is used in Mathematics to show the relationship between the terms that are given. The concept of utilizing letters or alphabets to convey numbers without defining their exact values is known as algebraic expressions.
We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
In this case, we want to translate the phrase into an algebraic expression. The phrase is the sum of 6 and b. This will simply be:
= 6 + b
Therefore, the expression is 6+b.
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What is 581/14 in partial quotients?
The quotient of 581 and 14 has a value of 40.07
How to evaluate the expression using partial quotients?The quotient expression is given as
581/14
Next, we express 581 as the sum of a multiple of 14 and another number
Say 581 = 280 + 280 + 1
So, we have the following equation
581/14 = (280 + 280 + 1)/14
Expand the bracket
So, we have the following equation
581/14 = 280/14 + 280/14 + 1/14
Evaluate the quotients
581/14 = 20 + 20 + 0.07
Evaluate the sum
581/14 = 40.07
Hence, the value of the quotient expression is 40.07
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A baker sells muffins in boxes that contain exactly 9 muffins each. Can the baker place 576 muffins in boxes with none left over. Explain
The baker can put all the 576 muffins in the box that contains exactly 9 muffins with none left over.
Can the baker put all the muffins in the box with none left over?In order to determine if the baker can put all the 576 muffins in the box that contains exactly 9 muffins with none left over, divide 576 by 9. If 9 perfectly divides 576, then there would be no remainder.
Division is the process in mathematics that is used to group a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other operations in mathematics are addition, subtraction and multiplication.
Number of boxes needed = number of muffins / capacity of each box
576 / 9 = 64
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A cashier has 35 bills, all of which are $10 or $20 bills. The total value of the money is $520. How many of each type of bill does the cashier have?
After solving some mathematical operations we can conclude that the cashier has 16 bills of $10 and 18 bills of $20.
What do we mean by mathematical operations?A mathematical function called an operation, also known as an "operand" or "argument," transforms zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The operations that are most frequently studied are unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, and binary operations (i.e., operations of arity 2), such as addition and multiplication.An operation of arity zero also referred to as a nullary operation, is a constant.The mixed product is an illustration of an operation of arity 3, also referred to as a ternary operation.So, the total value of money by 35 bills is $0, and $20 is $520.
Now, we know that: 20 × 18 = 360Similarly, we know that: 10 × 16 = 160Sum of 360 and 160: 360 + 160 = $520So, 185 bills of $20 and 16 bills of $10.Therefore, after solving some mathematical operations we can conclude that the cashier has 16 bills of $10 and 18 bills of $20.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
B) The blue square on the right contains the yellow square + the green square on the left
Step-by-step explanation:
hope this helps ;)
Write an expression that represents the total owed for 3 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $25?
2(25) + c
25c + 3
3(c) + 25
3(c + 25)
The final expression that represent the total owed is 3c + 25
How to represent mathematical expression?He owed 3 months cable at a price of c dollars for each month, plus a one-time equipment fee of $25,
Therefore, the situation can be expressed as follows:
For a single month he pays c dollars
Hence, 3 month will be 3 × c.
Recall he also needs to pay a one time fees of 25 dollar.
Therefore, the final expression that represent the total owed is as follows:
total owed = 3c + 25
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What is the value of the estimated standard error for the following set of D-scores?
Scores: 4, 8, 4, 4
-2
-4
-12
-1
The value of the estimated standard error for the following set of D scores 4, 8, 4, 4 is 1.
The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.
Consider the following set of D scores,
4, 8, 4, 4
We will calculate ∑D and ∑D² to find the SS for the D scores.
Therefore,
∑D = 4 + 8 + 4 + 4
∑D = 20
∑D² = 4² + 8² + 4² + 4²
∑D² = 16 + 64 + 16 + 16
∑D² = 112
Now, the formula for the standard score is given as:
[tex]SS=\sum D^2- \frac{(\sum)^2}{n}[/tex]
SS = 112 - [ (20)² /4 ]
SS = 112 - 100
SS = 12
Now,
[tex]S_{D}=\sqrt{\frac{SS}{n-1} }[/tex]
[tex]S_{D}=\sqrt{\frac{12}{4-1} }[/tex]
[tex]S_{D}=\sqrt{4}\\ S_{D}=2[/tex]
[tex]S_{\overline D}=\frac{S_{D}}{\sqrt{n} }[/tex]
[tex]S_{\overline D}=\frac{2}{\sqrt{4} }[/tex]
[tex]S_{\overline D}=\frac{2}{2}=1[/tex]
Hence, the standard error of the set of D scores is 1.
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shade the portion of this figure that represents 14/4
14/4 = ?
There are 4x5 = 20 squares
Then 14/4 = 3 + 2/4
also 14/4 = 70/20 = 7/2
Take 14 squares, from figure
Now graph portion shade
Pls answer
Indicate which property is illustrated in Step 2.
Which property is illustrated in Step 2 ? Option B. Commutative property
How is this explained?
Given:
Step 1 = 10+ 8x - 10 - 4x +4 = 0
Step 2 = 10 + (-10+ 8x) -4x + 4
Here , 8x - 10 = -10 + 8x
This is of the form , A+B = B+A
Commutative property of addition = A+B = B+A
What is the commutative property?
The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers are changed. According to the commutative property formula, the result is unaffected by the sequence in which two numbers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, so it cannot be changed.Commutative property of addition = A+B = B+A Commutative property of multiplication = A B = B ATo learn more about commutative property, refer:
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Find the slope of the line passing through the points (7, -2) and (4, -5).
I believe the slope of the the line passing through the given points would be m = 1.
Hope this helps!
How many ones are in 23.47? How
many whole ones?
Answer: The answer is 234.7
Step-by-step explanation:
If Gabriella has 3 more nickels than dimes and they have a combined value of 90 cents, how many of each coin does she have?
Correct dimes
nickels
If Gabriella has 3 more nickels than dimes and they have a combined value of 90 cents, The number of coin she have is; 4 nickels and 7 dimes.
Nickels and dimesx = number of nickels that Gabriella has
x +3 =number of dimes that Gabriella
Hence,
0.05x + 0.10 ( x + 3 ) = 0.9
Solving for x
Multiply both sides of the equation by 100 so as to eliminate two decimal places
5x + 10x + 30 = 90
Collect like terms
15x = 60
Divide both side by 15x
x = 60/15
x = 4 nickels
So,
x + 3 where x = 4
4 + 3 =7 dimes
Therefore she has 4 nickels and 7 dimes.
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1. A car starting from rest has a constant acceleration of 4 meters per second per second. How fast will it be going in 5 seconds?
Answer: 20m/s
Step-by-step explanation:
Velocity final= Velocity initial+acceleration*time
Vf=0+4*5= 20m/s
What is the slope of the line on the graph?
need answer asap pls help
Answer:
-2/6
Step-by-step explanation:
go down the y axis 2 times (-2) and over 6
y=-2/6x+4
I need the answer for these 2
after solving each compound given in the picture
there was a existing solution that is as follows -
a ) ( - ∞ , 1] U [12 , ∞ )
b) ( - ∞ , 8] U [4 , ∞)
What is inequality ?inequality, When two integers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order.
A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa. Literal inequalities occur when the relationship between two algebraic expressions is shown using the inequality symbol. An inequality in algebra is a mathematical statement that demonstrates the relationship between two expressions. In other words, the expression on the left should be greater or smaller than the expression on the right.
Calculationa ) ( - ∞ , 1] U [12 , ∞ )
b) ( - ∞ , 8] U [4 , ∞)
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HELP ! THIS IS DUE IN A FEW HOURS!
The maximum height reached by the ball is 22 feet
The ball stayed in the air for 1 second
What is a function?A function can be defined as a rule, law or expression that shows the relationship between two identifiable variables:
The independent variableThe dependent variableGiven the function:
h(t) = -16t² + 32t + 6
Where;
h is the maximum height measured in feett is the time in secondsTo determine the maximum height in feet that the ball reached, we would be required to substitute the value of t as 1
We have:
h(1) = -16(1)² + 32(1) + 6
expand the bracket
h(1) = -16 + 32 + 6
Add the values
h(t) = 22 feet
To determine the time, we have;
-16t² + 32t + 6 = 22
-16t² +32t + 6 - 22 = 0
Add like terms
-16t² +32t - 16 = 0
Factorize further
-16t² + 16t + 16t - 16 = 0
Factorize in pairs
16t( t - 1) + 16 ( t - 1) = 0
Then,
t - 1 = 0
t = 1 second
Thus, the maximum height is 22 feet
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Miguel reads that the average low temperature today is −8.5°F and that the average high temperature is 10.2º F.
Miguel plots the points on the number line to determine the temperature change between these two readings.
What is the temperature change?
The change in temperature between the two readings as measured by Miguel is 18.7°F .
In the question ,
the temperature readings on the Miguel is
Average low temperature = -8.5°F
Average high temperature = 10.2°F
the change in the temperature , is given by the difference between the two reading .
which means
Change in temperature = Average high temperature - Average low temperature .
Substituting the values of average high and average low reading of the temperature from above ,
we get ,
Change in temperature = 10.2 -(-8.5)
= 10.2 + 8.5
= 18.7
the temperature change is 18.7°F .
Therefore , the temperature change is 18.7°F .
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1.
find a
a =
21°
explain why using one of these
words: adjacent,
complementary, supplementary,
vertical
explanation goes here
add a pic of your work
(or just type it here)
to show HOW you got your
answer
pic (or typing) goes Hereford
∠a=90° as the rays of the angles meet at the right angle that is 90°.One of the angle is 21, The remaining would be 90-21=69°.
What is an angle?When two straight lines or rays intersect at a common endpoint, an angle is formed. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
What is ray?A ray is a vector that extends from one point to another. A ray is typically defined in geometry as a half-infinite line (also known as a half-line) with one of the two points and taken to be at infinity.
What is right angle?The right angle is formed when two straight lines intersect at 90 degrees or are perpendicular to each other at the intersection. The symbol is used to represent a right angle.∠
Here, The total sum of angles is 90°.
one the value is 21°. The value of adjacent angle would be,
remaining angle=90-21
=69°
So the remaining value of adjacent angle is 69°.
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A hat costs $10.95 and a T-shirt costs $14.20. How much change will you receive if you pay for both items with a $50 bill?
Pls give a good explanation
Answer: $24.85
Step-by-step explanation:
10.95+14.20= 25.15
25.15+24.85= 50
Answer:
24.35
Step-by-step explanation:
Add 10.95 to 14.20:
10.95+14.20=25.15
Then subtract the answer 25.15 from 50
50-25.15=24.35
Find all points on the x-axis that are 12 units from the point (3,-6)
The points on the x-axis that are 12 units away from the point (3,-6) is found to be 3 ± [tex]6\sqrt{3}[/tex].
What is the circle equation?r² = (x - h)² + (y - k)²is the standard equation for a circle, where (h,k) are the coordinates of the circle's center and r is the radius.
We must locate all points on the x-axis that are 12 units away from the starting point (3,-6).
Let these points be (x,0)
All points 12 units away from the point (3,-6) form a circle with a radius of 12 and a center at (3,-6). The formula would be as follows:
r² = (x - h)² + (y - k)²
12² = (x-3)² + (0+6)²
144 = (x-3)² + 36
(x-3)² = 108
x-3 = ± [tex]\sqrt{108}[/tex]
x = ± [tex]\sqrt{108}+3[/tex]
x = 3 ± [tex]6\sqrt{3}[/tex]
Therefore, the points on the x-axis 12 units away from point (3,-6) is calculated as 3 ± [tex]6\sqrt{3}[/tex].
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find the quotient 1 3/5÷3 1/5
1 3/5 ÷ 3 1/5
Change the mixed fraction to improper fraction
8/5 ÷ 16/5
Change the division to multiplication, thereby inverting 16/5
8/5 x 5/16
= 8/16
= 1/2
Answer:
0.5
Step-by-step explanation:
write 7298 to nearest thousand?
Answer:
Rounds down to 7000.
Step-by-step explanation:
 line m || line n m<4 = 72°
what is the measure of angle 1?
Answer:
angle 1 = 108°
Step-by-step explanation:
You want the measure of angle 1, given the measure of angle 4 is 72° in the diagram.
Linear pairAngles 1 and 4 are a linear pair, so are supplementary:
angle 1 + angle 4 = 180°
angle 1 + 72° = 180°
angle 1 = 108° . . . . . . . subtract 72°
Which of the binomials below is a factor of this trinomial?
8x²+2x-3
OA. 2x-3
B. 4x-3
O C. 2x+3
OD. 4x+3
Factor of trinomial 8x+2x-3 is 4x-3(binomial).
What is factorizing?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics. Complete factoring is a three-step process: If at all possible, factor a GCF from the expression. Try to factor a trinomial if you can. Factor as many times as you can using a Difference Between Two Squares. Factorizing is the practice of expressing a number or other mathematical object as the sum of a number of other, typically smaller or more basic items of the same kind.
Given Data
8x² + 2x -3
Factorizing,
8x² + 2x -3 =0
8x² - 6x + 4x - 3 = 0
2x(4x -3) +1(4x - 3) =0
(2x + 1) (4x-3) = 0
Binomials are (2x+1) and (4x-3)
Binomial is 4x-3.
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[tex] \rm \int_0^1 \frac{ {x}^{3} - {x}^{2} - 1 }{ {x}^{2} - x - 1 }dx \\ [/tex]
Simplify the integrand.
[tex]\displaystyle \frac{x^3-x^2-1}{x^2-x-1} = x + \frac{x-1}{x^2-x-1}[/tex]
Expand into partial fractions, recalling that [tex]\phi[/tex] and [tex]-\frac1\phi[/tex] are roots to the quadratic in the denominator.
[tex]\dfrac{x-1}{(x - \phi) \left(x + \frac1\phi\right)} = \dfrac1{1+\phi^2} \left(\dfrac1{x-\phi} + \dfrac{\phi^2}{x + \dfrac1\phi}\right)[/tex]
Then the integral is
[tex]\displaystyle I = \int_0^1 \frac{x^3-x^2-1}{x^2-x-1} \, dx \\\\ ~~~~ = \int_0^1 x \, dx + \frac1{1+\phi^2} \int_0^1 \left(\frac1{x-\phi} + \frac{\phi^2}{x+\frac1\phi}\right) \, dx \\\\ ~~~~ = \frac12 + \frac{1}{1+\phi^2} \left(\ln|1-\phi| + \phi^2 \ln\left|1 + \frac1\phi\right| - \ln|-\phi| - \phi^2 \ln\left|\frac1\phi\right|\right)[/tex]
and this reduces significantly, when we recall that [tex]\phi = 1 + \frac1\phi[/tex], to
[tex]\displaystyle I = \boxed{\frac12 + \frac{2\phi}{1 + \phi^2} \ln(\phi)}[/tex]
Multiply using the associative property.
Enter your answer by filling in the boxes.
(7×5) x2=
(7×5) x2=7x
(7 × 5) x 2 =
X
x 2)
Answer this problem
The answer of (7 ×5) ×2 using associative property is 70.
What is associative property?
(a ×b) ×c = a ×(b ×c) and (a+b)+c = a+(b+c)
Addition and multiplication are supported by the associative property but not division and subtraction.
Using associative property ,
(7 ×5) ×2 = 7×(5 ×2)
(7 ×5) ×2 = 7×10
(7 ×5) ×2 = 70
Therefore, the answer of (7 ×5) ×2 using associative property is 70.
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Convert 67/9 into a mixed number.
The answer for this is 7 4/9
Please answer I give Brainliest
Answer:
The value of x is 3 cm
Step-by-step explanation:
x is 3 cm because we can take 3/2 and make it easier for us and turn it into 1 and 1/2. As you can see 6, is 1 and 1/2 of 4, so all we have to do is find out what x equals by finding out what is 1 and 1/2 of 2. 2 is already 1, so we take half of 2 and add it and we get our answer 3 cm.
Solve by completing the square.
x² + 10x = -81
O {6+i√42, 6-i√/42}
O {12+√133, 12-√133}
O {11, 1}
O {-5+2i√/14, -5-2i√/14}
Answer:
Option 4
Step-by-step explanation:
[tex]x^2+10x=-81 \\ \\ x^2+10x+25=-56 \\ \\ (x+5)^2=-56 \\ \\ x+5= \pm \sqrt{-56}=\pm 2i \sqrt{14} \\ \\ x=-5 \pm 2i \sqrt{14}[/tex]