PLEASE ANSWER
1. Simplify the following expression:
a + 2c − 5b − c + a − b
2a − 6b + 2c
2a − 6b + c
a − 6b + c
a − 5b + 2c
2. Evaluate the following expression using the values given:
Find 3x^2 − y^3 − y^3 − z if x = 3, y = −2, and z = −5.
Numerical Answers Expected!
Answer for Blank 1:
The expression is simplified as 2a − 6b + c. Then the correct option is B. The value of the expression 3x² - y³ - y³ - z will be 48.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ a + 2c − 5b − c + a − b
Simplify the expression, then we have
⇒ 2a − 6b + c
Then the correct option is B.
The expression is given below.
⇒ 3x² - y³ - y³ - z
If x = 3, y = −2, and z = −5. Then the value of the expression will be
⇒ 3(3)² - (-2)³ - (-2)³ - (-5)
⇒ 3 x 9 + 8 + 8 + 5
⇒ 27 + 21
⇒ 48
The value of the expression 3x² - y³ - y³ - z will be 48.
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Angle bisectors of the angles ∠A and ∠B of a triangle ∆ABC intersect each other at point M. Find m∠AMB, if m∠A = 58°, m∠B = 96°.
Answer:
103 degrees
Step-by-step explanation:
Bisectors means you make a line in the middle splitting the angle in half. So you divide A by 2 to get 29 and B to get 48. Then you add them to get 77. And now you only need point m's angle. 180-77 is 103 so the answer they are looking for is 103.
Solve, kara's store experienced fixed costs of $200 and variable costs of $4 a shirt. write an equation that can be used to determine the total expenses encountered by kara's
Solve the inequality (show your work):
-5/2(3x + 4) < 6 - 3x
The value of the x is greater than negative of 32 over 9.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given as,
–5/2(3x + 4) < 6 – 3x
Simplifying the equation,
–5(3x + 4) < 2(6 – 3x)
5(3x + 4) > 2(3x – 6)
15x + 20 > 6x – 12
9x > –12 – 20
x > –32 / 9
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Which is NOT equivalent to 6/8? A.3/4 B.18/24 C.9/12 D.18/16
using multiplication property of equality solve x/2=6
Answer:
x=12
Step-by-step explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
Multiplication property of equality is multiply both sides of an equation by the same number does not change the equation.
[tex]\frac{x}{2}=6[/tex]
multiply two both sides
[tex]\frac{2x}{2}=6*2[/tex]
simplify
[tex]6*2=12[/tex]
[tex]12/2=6[/tex]
[tex]12/6=2[/tex]
[tex]2*6=12[/tex]
[tex]x=12[/tex]
Hope this helps!
The sales tax rate for a local county is 8.4%. If an item costs $391 (before tax), how much sales tax will be due?
What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?
how to graph the first derivative of this function
A normal probability/quantile plot is used to see if the distribution of a quantitative variable follows a __________ distribution.
A worker currently receives a yearly salary of $20,000.
a)Find the dollar values of a 3%, 4%, and 6% raise for this worker
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Because we are finding DOLLAR amounts, and not a total, we are simply going to do this:
Salary * (percent /100) = $Value
20,000 * 3% [or 0.03] = $600
20,000 * 4% [or 0.04] = $800
20,000 * 6% [or 0.06] = $1,200
Now to find his new salary if he were to get a raise, we will add the individual amounts to 20,000 is he were to only get a SINGLE percent raise increase...
If his salary (currently) is $20,000 and gets a 3% raise, his new salary is:
$20,600
If his salary (currently) is $20,000 and gets a 4% raise, his new salary is:
$20,800
If his salary (currently) is $20,000 and gets a 6% raise, his new salary is:
$21,200
If he were to get all THREE raises at the same time (per say) [or one after the other going off of a $20,000 salary], his new salary is:
$22,600
If p is a prime number, for how many values of p is p^2 +21p - 1 also prime?
Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what was the total amount she paid?
Answer:
$176·1.06 = $186.56
Therefore, the total amount that Christa paid was $186.56.
Order numbers least to greatest, -1.6, 5/2, -7/8, 0.9, -6/5
Which method of the math object rounds a value to the next lowest integer??
In 1995, 57.5% of students at gardiner university graduated in 4 or fewer years of study. in 2009, that number had fallen to 52.8%. what was the rate of change for percent of students graduating within 4 years from 1995 to 2009
Describe how to draw a line that passes through the origin and has a slope of 3/5
Omar makes 8 dollars for each hour of work. write an equation to represent his total pay p after working h hours.
Final answer:
The equation for Omar's total pay after working h hours at $8 per hour is p = 8h. This linear equation indicates a direct proportion between hours worked and total pay, reflecting a total of $64 for an 8-hour day.
Explanation:
The equation to represent Omar's total pay, p, after working h hours, at the rate of $8 per hour, is given by p = 8h. This linear equation shows that the total pay is directly proportional to the number of hours worked. Therefore, if Omar works for a standard 8-hour day, he would earn 8 hours times $8 per hour, which equals $64 for that day.
Sarah has a $2000 bond with a 5% coupon. How much interest will Sarah received for this bond every 6 months?
Find the equation perpendicular to the line y=−3x+5 that passes through point (2, 6).
Hey there! :)
Perpendicular to y = -3x + 5 ; passes through (2, 6).
Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.
A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.
So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.
Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!
y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)
Simplify.
y - 6 = 1/3x - 2/3
~Hope I helped!~
There is no answer choices. I really need help with this! prime factorize (expand) the expression 12a^3bd^5
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95
Which number should replace the question mark in the number grid below?
A probability experiment consists of rolling a fair 12-sided die. Find the probability of the event below. rolling a 5
a piggy bank contains $2.40 in nickels and dimes. if there are 33 coins in all, how many nickels are there
Suppose a college student pays $700 for tuition fees. However, she also has to pay $400 for her textbooks (ouch!). What percent of her total education costs does she pay for her books? Write your answer to the nearest tenth of a percent, but in decimal form.
The student spends approximately 40% of her total education costs on her books, represented as 0.4 in decimal form.
Explanation:The student's total education costs are the sum of the tuition fees ($700) and the cost of her books ($400). This comes to a total of $700 + $400 = $1100. The percent of the total education cost that is spent on books is then given by the cost of the books divided by the total cost, or $400 / $1100. When expressed as a decimal, this works out to be approximately 0.36 or 36%, but since we want to the nearest tenth of a percent in decimal form, it becomes 0.4 or 40% to the nearest tenth. Therefore, the student spends 40% of her total education costs on her books.
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Writing equation in slope intercept form
you can find the ______ parts of two congruent triangles by aligning them perfectly on top of each other.
A. corresponding
B. similar
C. complementary
D. supplementary
You can find the corresponding parts of two congruent triangles by aligning them perfectly on top of each other.
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔDEF
Now , when the triangles are aligned perfectly on top of each other ,
They are corresponding and the and the measures of the angles are same
And , the measure of the legs of the triangles will also be congruent
Hence , the corresponding parts are same
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There are 11 books on a shelf. 5 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio of used books to all books?
a) The ratio of new books to used books 5:6.
b) The ratio of used books to all books is 6:11.
What is the ratio?The ratio is defined as the representation of one number with respect to the other number or one number is how many times the other number.
The ratio will be calculated as follows:-
a) Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.
b) We know that the number of used books is 6. The ratio is 6:11.
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