An equation is formed of two equal expressions. The cost of a new book is $7.43, while the cost of an old book is $8.86.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the cost of 14 used books is $124. Therefore, the cost of a single used book is,
Cost of single used book(u) = 124/14 = $8.86
Also, the cost of 12 used books and 4 new books is $136. Therefore, the equation can be written as,
12u + 4n = 136
12(8.85) + 4n = 136
106.2 + 4n = 136
n = $7.43
Hence, the cost of a new book is $7.43, while the cost of an old book is $8.86.
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can someone help me with " |-3|-10 " please.
Answer:
-7
Step-by-step explanation:
| anything inside these vertical lines becomes positive when the lines are removed. These lines are absolute value lines |
So |-2| becomes 2 when absolute bars are removed.
Using this logic, |-3| becomes 3 when bars removed. Thus 3 - 10 = -7
please help!!!!!!!!!!
Answer: which one ? ill edit this w/ the answer
Step-by-step explan
Helppppp fastttt !!! Pleaseeee and tyyyyy
Answer:
x ≤ -4
Step-by-step explanation:
-7x + 13 ≥ 41
Rearrange the terms
-7x ≥ 41 - 13
Calculate
-7x ≥ 28
Divide both sides
x ≤ -28/7
Simplify
x ≤ -4
HOPE THIS HELPS AND HAVE A NICE DAY <3
50 cm = _____ km
1000 g = _____ cg
Answer:
0.0005 and 100000
Step-by-step explanation:
solve them in the answer.
helppppppppppppppppppppppp meeeeeeeeee
Which is the correct quotient with a letter as the remainder?
Answer:
A) 913 / 29 = 31 r 14Step-by-step explanation:
31 × 29 + 14 = 913
Then
913 / 29 = 31 r 14
the address by ronald reagan is one of his most famous speeches. Taking into consideration the principles of effective public speaking you have studied so far, list at least 4 reasons why you feel this speech is still considered great?
ASAP 100 POINTS
Answer:
nation's leader
Step-by-step explanation:
As the nation's leader, President Reagan decided to address the country about the Challenger tragedy. Putting aside his scheduled State of the Union address before Congress, the President instead delivered an Oval Office address to comfort the people as the nation mourned.
Please help I’ve been stuck in this for 5 minutes
Answer:
C.A 140° angle
please mark me brainliest
Can someone help quick?I don't fully get how to do this. Find the measure of the following arcs or angles. There are two images.
Answer:
AE is 77
AB is 65
CPD is 77
BPE is 142
ADC is 257
ACD is 180
Step-by-step explanation:
line CE and AD are splitting the circle in half
GUYS PLEASE HELP ME ASAP I REALLY NEED HELP FOR THIS QUESTION, THANKS!!!
THE QUESTION: When 30 is added to a number k and the resulting number is multiplied by k, a prime number is obtained. Find the prime number.
Answer:
30k + k²
Explanation:
First Step:
30 is added to k means : 30 + k
Second Step:
Resulting number multiplied by k means : (30 + k) × k
Results:
30k + k² ___prime number.
Find the value of x in the figure.
Answer:
120
Step-by-step explanation:
Because triangle is always 180.
180-30-30=120
help with practice problem
Answer:
y = 2x - 6
Step-by-step explanation:
For parallel lines, the mx (the slope) stays the same but the y-int changes.
Can someone help real quick? I know x=15 but I can't figure out the length.
Answer:
23
Step-by-step explanation:
AB and BC are tangent to circle P, which means that both lines are congruent. Set AB and CB equal to each other:
2x-7=5x-52
3x=45
x=15
Plug 15 into AB:
2(15)-7 = 23
Length of AB is 23.
Question provided in image:
Answer:
the slope of parallel lines are - the same
i.e,m1=m2
the slope of perpendicular lines are- negative reciprocals
i.e,m1*m2= -1
where, m1 and m2 slopes of two lines
A. The slope of parallel lines are: the same/equal
B. The slope of perpendicular lines are negative reciprocals.
What are the Slopes of Parallel and Perpendicular Lines?If two lines are parallel to each other, they will have the same slope. If the slope of one is 4, the slope of the other line that is parallel to it would also be 4.
On the other hand, the slope of perpendicular lines are negative reciprocal of each other. That is, if the slope of one is, -1, the slope of the other line would be 1.
Therefore, parallel lines have the same slope, while perpendicular lines have slope values that are negative reciprocal to each other.
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Convert the polar equation to rectangular coordinates. (use variables x and y as needed. )
The rectangular coordinates will be (x=7cot(θ), y=7).
What are polar coordinates?A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.
We have the standard conversion toolbox:
[tex]x=rcos(\theta)\\\\y=rsin(\theta)[/tex]
Here it is given that
[tex]r=7cosec(\theta)[/tex]
so
[tex]x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7[/tex]
therefore the rectangular coordinates are (7cot(θ), 7)
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Use fundamental identities to find the values of the trigonometric functions for the given conditions. tan = − 15/8 and sin > 0
sin =
cos =
tan =
csc =
sec =
cot =
Step-by-step explanation:
sin = 15/17
cos = -8/17
tan = -15/8
csc = 17/15
sec = -17/8
cot = -8/15
Need steps with the answer and fast as possible. i will grant you 50 points literally Meena's mother is four times as old as meena. after 5 years,her mother will be three times as old as she will be then. whats their present ages
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Meena mother is 4 times as old as Meena After 5 years, Her mother will be 3 times as old as she will be then. To Find :-We have to find the present ages of Meena and her mother. Let's Begin :-Let the present age of Meena be ' x ' years.
Now, It is given in the question that her mother is 4 times as old as MeenaThat means,
Present age of her mother
[tex]\sf{ = 4x \: years }[/tex]
Now,
After 5 years
The age of the Meena will be
[tex]\sf{ = x + 5 \: years }[/tex]
Therefore,
According to given condition,
The age of her mother will be
= [tex]\sf{ = 4x + 5 \: years ...eq(1)}[/tex]
But, It is given that,
After 5 years, Her mother will be 3 times as old as Meena.That is,
After 5 years, Her mother age will be
[tex]\sf{ = 3(x + 5) \: years ...eq(2)}[/tex]
From eq(1) and (2) :-
[tex]\sf{ 4x + 5 = 3(x + 5) }[/tex]
[tex]\sf{ 4x + 5 = 3x + 15}[/tex]
[tex]\sf{ 4x - 3x = 15 - 5 }[/tex]
[tex]\sf{ x = 10 \: years }[/tex]
Thus, The present age of the Meena will be 10 years.
Therefore,
The present age of her mother will be
[tex]\sf{ 4x = 4 × 10 }[/tex]
[tex]\sf{ = 40 \: years }[/tex]
Hence, The present of Meena and her mother is 10 years and 40 years.
It seems that every carton of eggs at the supermarket contains at
least one broken egg. If, in fact, it has been determined that
3 percent of the eggs supplied to a supermarket are cracked,
what is the probability that if you buy two dozen eggs none of
your eggs will be cracked?
The probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
3 percent of the eggs supplied to a supermarket are cracked.
The probability that no eggs are cracked = 1 - 0.03 = 0.97
The probability that if you buy two dozen eggs, none of your eggs will be cracked:
= 0.97×0.97
= 0.9409
= 94.09%
Thus, the probability that if you buy two dozen eggs, none of your eggs will be cracked is 94.09% if the 3 percent of the eggs supplied to a supermarket are cracked.
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In trapezoid PQRS, if segment XY is the midsegment, which could be the lengths PQ and SR? Select all that apply.
17 cm and 31 cm
18 m and 30 m
4 cm and 8 cm
9 cm and 15 cm
12 cm and 36 cm
18 cm and 30 cm
please explain how you get the answer :)
Answer:
17 cm and 31 cm
12 cm and 36 cm
18 cm and 30 cm
Step-by-step explanation:
The midsegment of a trapezoid is equal to the average of the two bases. When taking an average of two numbers, you add them and divide by 2. So the equation will be as follows:
[tex]\frac{PQ + SR}{2} = XY[/tex]
XY is given to be 24, so:
[tex]\frac{PQ + SR}{2} = 24[/tex]
Multiplying on both sides gets us:
[tex]PQ + SR = 48[/tex]
So any values of PQ and SR that add to 48 work. Therefore, we will sum the given options:
17 cm + 31 cm = 48 cm
18 m + 30 m = 48m (Did you mean meters?)
4 cm + 8 cm = 12cm
9 cm + 15 cm = 24cm
12 cm + 36 cm = 48cm
18 cm + 30 cm = 48 cm
PLEASE HELP!! need this test done. the solution set of |R-3|=10 is
Answer:
[tex]\{-7,13\}[/tex]
Step-by-step explanation:
[tex]~~~~~~|R-3| = 10\\\\\implies R -3 = 10~~~~~~ \text{or}~~~~~~~R -3 = -10\\\\\implies R = 10+3~~~~~~\text{or}~~~~~~~R = -10+3\\\\\implies R = 13~~~~~~~~~~~ \text{or}~~~~~~~R = -7\\\\\text{Solution set:} ~\{-7,13\}[/tex]
Answer: Heyaa! ~
Your Answer is... (-7, 13) Which is C.
Step-by-step explanation:
Factor then solve to find the complex solutions.
Remove the absolute value term. This creates a ±
on the right side of the equation because |x|=±x.
R−3=±10
The complete solution is the result of both the positive and negative portions of the solution.
R= -7, 13
Hopefully this helps you! ~
Michael is investing $2500 at his bank. The savings account he chooses earns interest at a rate of 6%
annually. How much is in the account after four years?
So
P=2500R=6%T=4yearsInterest
I=PRT/100I=2500(6)(4)/100I=25(24)=$600Amount
2500+600$3100Can somebody help me with this question?
Answer:
D. tanθ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Trigonometric applied here :
tanθ = 1/cotθ
=============================================================
In Quadrant III, all values of tan and cot are positive.
⇒ tanθ = 1/(3/4)
⇒ tanθ = 4/3
Name each indicated part of the algebraic expression.
4x + y
3
- 2.2
Answer:
4 Coefficient-2.2 Constant1/3 Coefficienty/3 Termx VariableStep-by-step explanation:
Some qucik lil definitions of these words
Coefficient - A multiplicative factor in some term of a polynomial, a series, or any expression.
Constant - A value that is unchanging.
Term - A single mathematical expression.
Variable - A letter used to represent an unknown.
Convert the following equation
into standard form.
y = 2x
Answer: 2x-y=0
Step-by-step explanation:
y=2x
-2x -2x
-1(-2x+y=0)
2x-y=0
10 to the negative fourth power
Answer:
[tex]10^{-4} = 0.0001[/tex]
Step-by-step explanation:
Negative exponents make the base a reciprocal:
[tex]x^{-1} = \frac{1}{x}\\x^2 = \frac{1}{x^2}\\[/tex]
Therefore, we can rewrite [tex]10^{-4}[/tex] as:
[tex]10^{-4} = \frac{1}{10^4} = \frac{1}{10000} = 0.0001[/tex]
10^-4 = 0.0001
1 x 10^-4 = 10^-4
It's a negative power - so you divide the 1 by 10000 - to get 0.0001.
Same as 1/10000
Hope this helps!
I WILL GIVE YOU BRANILEST!
This is a really important question that I need to know before 1! Please explain your answer! PLEASE EXPLAIN!
What is the length of the line segment?
Answer:
[tex]l(\overline {AB})\approx9.22\: units[/tex]
Step-by-step explanation:
A = (-2, -3), B = (-8, 4) (Given)[tex]\implies x_1= -2,\: y_1=-3,\: x_2=-8,\: y_2= 4[/tex]By distance formula length of segment AB can be given as:[tex]l(\overline {AB})=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex][tex]l(\overline {AB})=\sqrt{[-8-(-2)]^2 +[4-(-3)]^2}[/tex][tex]l(\overline {AB})=\sqrt{[-8+2]^2 +[4+3]^2}[/tex][tex]l(\overline {AB})=\sqrt{[-6]^2 +[7]^2}[/tex][tex]l(\overline {AB})=\sqrt{36 +49}[/tex][tex]l(\overline {AB})=\sqrt{85}[/tex][tex]l(\overline {AB})=9.21954446\: units[/tex][tex]l(\overline {AB})\approx9.22\: units[/tex]One factor of this polynomial is (2x - 1). Use long division to determine which expression represents the other factor. 2x³+ 5x² - 27x + 12
-> 3rd answer is correct
8. A school official calculated that the school bus arrives by 8 a.m. 90% of the time. If the
bus runs 200 days, on how many days can the school official expect it to arrive after
8 a.m.?
Answer:
20 days of the 200 total days
Step-by-step explanation:
1. 200/100=2
2. 2x90=180
3. 200-180=20
Nerys checks her tax bill from last year
the tax rates were as follows:
•No tax on the first £11,000 of earnings
•Earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•Earnings in excess of £43,000 and up to £ 150,000 taxed at a rate of 40%
•Earnings over £150,000 taxed at a rate of 45%
Last year Nerys earned £162,700 before tax.
how much tax did she pay in total?
Answer:
£54,915
Step-by-step explanation:
The tax table is applied as follows:
first 11,000 -- no tax
11,000 to 43,000 -- tax is 0.20 × (43,000 -11,000) = 6,400
43,000 to 150,000 -- tax is 0.40 × (150,000 -43,000) = 42,800
150,000 to 162,700 -- tax is 0.45 × (162,700 -150,000) = 5,715
Then the total tax on earnings of £162,700 is ...
£6,400 +42,800 +5,715 = £54,915
Nerys paid a tax of £54,915.
_____
Additional comment
The tax computation could be simplified to ...
f(x) = max(0, 0.2x -2200, 0.4x -10800, 0.45x -18300)
In this instance, the value 0.45x -18300 is the highest, at £54,915. Not all the computations are required if you realize the lines cross at x = 11,000, 43,000, and 150,000.
The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals
, then the quadrilateral is a parallelogram.
The midpoint of HJ is
and the midpoint of IK is (2, 2).
Therefore, HIJK is a parallelogram because the diagonals
, which means they bisect each other.
Check the picture below.
well, HIJK is a parallelogram only if its diagonals bisect each other, if that's so, the midpoint of HJ is the same as the midpoint of IK, let's check
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ H(\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad J(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 4 + 0}{2}~~~ ,~~~ \cfrac{ -1 + 5}{2} \right)\implies \left( \cfrac{4}{2}~~,~~\cfrac{4}{2} \right)\implies \boxed{(2~~,~~2)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ I(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad K(\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \left(\cfrac{ 1 + 3}{2}~~~ ,~~~ \cfrac{ 1 + 3}{2} \right)\implies \boxed{(2~~,~~2)}[/tex]
Answer:
1. bisect each other 2. (2,2) 3. have the saem midpoint
Step-by-step explanation:
The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals
✔ bisect each other
, then the quadrilateral is a parallelogram.
The midpoint of HJ is
✔ (2, 2)
and the midpoint of IK is (2, 2).
Therefore, HIJK is a parallelogram because the diagonals
✔ have the same midpoint
, which means they bisect each other.
