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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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.
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
Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540 for the first hotel. He ordered 50 hand towels and 24 bath towels for a bill of $416 for the other hotel. What is the cost of one hand towel and one bath towel?
This question is based on the concept of solving a two linear equation.
Thus, the cost of one bath towel is $9 and one hand towel is $4.
Given:
Number of ordered of hand towels is 27 and bath towels is 48 and for a bill of $540 for the first hotel.
Number of ordered of hand towels is 50 and bath towels is 24 and for a bill of $416 for the other hotel.
We need tom determined the cost of one hand towel and one bath towel.
According to the question:
Let the hand towels be h and bath towels be b.
Therefore, equation of first hotel is
27h + 48b = 540........(1)
Equation of second hotel is
50h + 24b = 416.........(2)
Now, solving both equation for h and b.
Equation (2) multiplying by -2.
-100 h -48 b = - 832..................(3)
Now, solve equation (1) and (3)
27h + 48b = 540 and -100h - 48b = - 832
⇒ -73 h = - 292
⇒ h = -292 / -73
⇒ h = 4
Therefore, the cost of 1 hand towel is $4.
Now, putting the value of h = 4 in equation (1).
⇒ 27(4) + 48b = 540
⇒ 108 + 48b = 540
⇒ 48b = 540 - 108
⇒ 48b = 432
⇒ b = 432/48
⇒ b = 9
Therefore, the cost of 1 bath towel is $9.
Thus, the cost of one bath towel is $9 and one hand towel is $4.
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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!~
a piggy bank contains $2.40 in nickels and dimes. if there are 33 coins in all, how many nickels are there
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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If p is a prime number, for how many values of p is p^2 +21p - 1 also prime?
Sarah has a $2000 bond with a 5% coupon. How much interest will Sarah received for this bond every 6 months?
An angle is 5 times the measure of its complement. find the measure of the larger angle
Answer:
75°
Step-by-step explanation:
The angle is our unknown, so we will call it x. If x is the angle, then its complement is 90 - x (complementary angles add up to 90). The word "is" means "equals", and "5 times" is multiplying the complementary by 5:
x = 5(90 - x) so
x = 450 - 5x
Combine like terms to get
6x = 450 so
x = 75
The other angle, the complement to that angle, is 90 - 75 = 15
The larger angle is 75°
The equation for perimeter of square p=4s . what is the formula solved for p
6b^2-13+6=0 Quadratic equations by factoring
Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)
Answer: [tex]y=\dfrac{-1}{2}(x-2)[/tex]
Step-by-step explanation:
The equation of a line passing through points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Given : The points from which line is passing : (-6,4) and (2,0)
Then , the equation of the line, in point slope form, that passes through (-6,4) and (2,0)will be :-
[tex](y-(0))=\dfrac{4-0}{-6-2}(x-2)\\\\\Rightarrow\y=\dfrac{4}{-8}(x-2)\\\\\Rightarrow\ y=\dfrac{-1}{2}(x-2)[/tex]
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.
Which number should replace the question mark in the number grid below?
What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and (3, 4) ?
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
What is the slope of line represents by the equation y=-1/2x+1/4
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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Writing equation in slope intercept form
Which is NOT equivalent to 6/8? A.3/4 B.18/24 C.9/12 D.18/16
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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Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born
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]
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f(x)=3^x and x=-5 help
A) 1/729
B) -15
C) 1/243
D) -125
4[(6 - 1) + 3(5 - 2)] 44 46 56
The numerical expression 4[(6 - 1) + 3(5 - 2)] evaluates step-by-step following the order of operations. Operations within the parentheses are performed first, followed by multiplication, resulting in a final answer of 56
The student's question involves evaluating a numerical expression, which is a concept in mathematics. We have the expression 4[(6 - 1) + 3(5 - 2)] and want to calculate its value step by step following the order of operations:
First, perform the operations inside the parentheses: (6 - 1) = 5 and (5 - 2) = 3.Next, multiply by 3 within the parentheses: 3(5 - 2) becomes 3 * 3 = 9.Now, add the results within the square brackets: 5 + 9 = 14.Finally, multiply the result by 4: 4 * 14 = 56.Hence, the correct answer to the expression is 56
1 under typical conditions, 1 feet of snow will melt to 2 inches of water. 2 1 to how many inches of water will 2 feet of snow melt?
A probability experiment consists of rolling a fair 12-sided die. Find the probability of the event below. rolling a 5
There is no answer choices. I really need help with this! prime factorize (expand) the expression 12a^3bd^5
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95