Answer:
x = 2 and y = 2
Step-by-step explanation:
The given system of equations are :
12x+8y = 40 ...(1)
4x+5y = 18 ....(2)
Multiply equation (2) by 3.
12x+15y = 54 ...(3)
Subtract equation (1) by (3).
12x+15y-(12x+8y) = 54-40
12x+15y-12x-8y = 14
7y = 14
y = 2
Put the value of y in equation (2).
4x+5(2) = 18
4x+10 = 18
4x = 8
x = 2
The solutions of the given equations are x = 2 and y = 2
Natalie bought a three pack of erasers $1.47. At the same rate how much would a 10 pack of erasers cost?
Answer:
The price for a 10 pack of erasers would cost $4.09
Step-by-step explanation:
1.47 ÷ 3 = 0.49
0.49 × 10 = 4.9
Answer:
$4.9
Step-by-step explanation:
[ Unitary method]
3 pack of erasers = $1.47
1 pack = $1.47 / 3 = $ 0.49
10 pack = $ 0.49 x 10 = $4.9
(I hope im right!)
The figures are similar. Find x
Answer:
[tex]x=\frac{20}{3} =6.67[/tex]
Step-by-step explanation:
[tex]x=15*\frac{4}{9}=\frac{20}{3} =6.67[/tex]
Answer:
6 2/3 or 20/3 or 6.6667
Step-by-step explanation:
Since the figures are similar, you can find x through comparing ratios. To get from 9 to 4, multiply 9 by 4/9. To find x, you must then multiply 15 by 4/9.
15 x 4/9 = 6 2/3 or 20/3 or 6.6667
first solve 3/4 x 4 using repeated addition
Then, solve 4 x 3/4 using multiplication and division..
Hint: the answer should be the same for both.
Will give brainliest and 5 stars with thanks when two answers are there,
because I need 2 answers for brainliest. So please help asap!!!
Answer:
The answer is 3
Step-by-step explanation:
3/4x4 =3
4 x 3/4 = 3
All you are doing is reducing the numbers with the greatest common factor which is the number 4.
Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _____ and _____ .
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
[tex]\sigma[/tex] = $40
Number of commuters,
n = 100
Now,
⇒ [tex]SE=\frac{\sigma}{\sqrt{n} }[/tex]
On putting the given values, we get
⇒ [tex]=\frac{40}{\sqrt{100} }[/tex]
⇒ [tex]=\frac{40}{10}[/tex]
⇒ [tex]=4[/tex]
By using the 2 SE rule of thumb, we get
= [tex]$(167 - 2\times 4)[/tex]
= [tex]167-8[/tex]
= [tex]159[/tex] ($)
Or,
= [tex](167 + 2\times 4)[/tex]
= [tex]167+8[/tex]
= [tex]175[/tex] ($)
i.e,
$159 and $175
You would like to have $41,000 in 5 years for the down payment on a new house
following college graduation by making deposits at the end of every three months in
an annuity that pays 4.25% compounded quarterly. How much should you deposit at
the end of every three months? How much of the $41,000 comes from deposits and
how much comes from interest?
Answer:
a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.
Convert periods and interest to quarterly rate.
Period = 5 * 4 = 20 quarters
Interest = 4.25 / 4 = 1.0625%
41,000 = Annuity * ( [ 1 + i ] ^n - 1 )/i
41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%
41,000 = Annuity * 22.1534596596
Annuity = 41,000 / 22.1534596596
= $1,851
b. There were 20 payments of $1,851 made which totals:
= 1,851 * 20
Cash from deposits = $37,020
Cash from interest = 41,000 - 37,020 = $3,980
Write an equation. Let x be the unknown number.
Subtract four times a number from 14 is negative 3.
4x - 14= -3
hope this helps! (:
Answer:
14 - 4x = -3
Step-by-step explanation:
Hope this helps. B)
Geometry Help!
Please only answer if you know the answer. Look at the image below to answer the question.
Be sure to show all of your work and explain your thinking.
I posted 3 of these, so if you understand it, please go and check them out.
If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!
Answer:
x = 8.8Step-by-step explanation:
To solve this you need the Law of sines
sin A / a = sin B / b = sin C / ca, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
sin 28 / x = sin (180 - 28 - 126) / 8.2sin 28 / x = sin 26 / 8.2x = 8.2 sin 28 / sin 26x = 8.8 (rounded)Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(3,5); y=2x-6
Answer:
y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.
Step-by-step explanation:
A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is m = 2/5 and the intercept b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:
y - y1 = m(x - x1) plug in values
y - 2 = (2/5)(x - 0) now simplify
y - 2 = (2.5)x last solve
y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!
B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)? We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:
The equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, we need to find the equation of a line passing through the point (3, 5) and is parallel to y = 2x-6,
Comparing the given equation with the general equation of line y = mx+c
m = 2 (the slope)
We know that the two parallel lines have equal slope.
Therefore, the required equation is =
y = 2x+c
To find the value of c, put x = 3 and y = 5,
5 = 2(3) + c
c = -1
Therefore,
The required equation is =
y = 2x-1
Hence, the equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1
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please answer 24<11+x
Answer:
x can be 14 or more
Step-by-step explanation:
Answer:
x>13! I hope I helped? :')
Steps for answer!
1. Subtract 11 from both sides.
24−11<x
2. Simplify 24-11 to 13.
13<x
3. Switch sides.
x>13
Find the measure of
Answer:3Y+6=12
3(2)+6=12
Step-by-step explanation:Because 3 + 3 is 6 So That means that you repeat the pattern 4 times 3 Times 4 equals 12
Jonathan was riding his bike at 6 miles per hour and went 24 miles How long was Jonathan riding?
Shaneen has $30 to spend on CDs that each cost $10. She wants to calculate n, the number of CDs she can buy with her $30. Which inequality represents the maximum number of CDs she can buy?
Answer:
[tex]10n \le 30[/tex]
[tex]n \le 3[/tex]
Step-by-step explanation:
Given
[tex]Total = \$30[/tex]
[tex]Cost (each) = \$10[/tex]
Required
Determine the inequality
Assume she wants to buy n CDs.
If 1 CD costs $10, then n CDs costs 10n.
So, the inequality is:
[tex]10n \le 30[/tex]
We used [tex]\le[/tex] because the amount she wants to spend cannot exceed 30
Divide both sides by 10, to solve for n
[tex]n \le 3[/tex]
Please help! Marking brainliest if correct.
Answer:
110 degrees
Step-by-step explanation:
Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.
Answer:
110°
Step-by-step explanation:
Since CDE and FDG are vertical, they are congruent, so:
5x + 15 = 8x - 42
Solve the equation for x
57 = 3x
19 = x
Then solve for one of the angles (I chose CDE but FDG would also work)
5(19)+15
95 + 15
110
Which describes the shaded portion of the figure? PLEASE HELP MEEE
Answer:
1/5=20%
Step-by-step explanation:
NEED HELP QUICK!!
A rectangle is graphed on the coordinate grid.
On a coordinate plane, side p has points (1, 4) and (3, 6), side q has points (3, 6) and (6, 3), side r has points (4, 1) and (6, 3), and side s has points (4, 1) and (1, 4).
Which represents the equation of the side that is parallel to side s?
y = negative x + 9
y = negative x minus 3
y = x + 9
y = x minus 3
Answer:
Y = negative x + 9
Step-by-step explanation:
Find the equation of the line for side S-
m= 4-1/1-4 = 3/-3 = -1
The Gradient is -1
Since parallel lines share the same gradient, it should be either of the first two options.
We can see side Q shares the same gradient: 3-6/6-3= -1
Find the equation of the line of side Q-
y-y1= m(x-x1)
y-6= -1(x-3)
y-6=-x+3
y= -x+9
Answer:
a
Step-by-step explanation:
-3z-z I need help pleeeaaassseee
Express 9 as a ratio of 27
Answer:
9/27 or 9 to 27
Step-by-step explanation:
2) (EFO8MA12) Se 250 gramas de azeitonas custam 4,60.qual será o preço de de quilo de
azeitona?
a) R$ 9,20
b) R$ 10,60
c) R$ 12,80
d) R$ 13,80
Answer:
###########÷#######################
your friend writes 4.8% as 4.888 is your friend correct?
Answer: No
Step-by-step explanation:
4.8%
=> 4.8 / 100
=> 4.8 = 0.048
what is the other angel? help
Answer:
59.7 degrees
Step-by-step explanation:
see attached
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The diagram is not drawn to scale.
Givn : OK = 3, OJ = 30, KN = 1, JM = 3
ON=OK+KN=3+1=4
OM=OJ+JM=30+10=40
In triangles OKJ & ONM,
OKOJ=330=110
ONOM=440=110
Angle O is common in both the triangles.
Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.
That means KJNM=110 or the two sides are parallel.
Hence ˆK=ˆN,ˆJ=ˆM corresponding angles.
Two sides in each triangle that are proportional to each other, and a corresponding included angle in both triangles that are congruent, both triangles are similar.
The similarity statement is: [tex]\triangle NOM \sim \triangle KOJ[/tex]Theorem: Side-Angle-Side Similarity Theorem (SAS)Recall:
Two triangles can be proven to be similar by the SAS Similarity Theorem, if they both have two pairs of corresponding side lengths that are proportional to each other and also have a corresponding included angle that is congruent to each other.
Using the image given, let's determine if two of the given side lengths of each triangle are proportional to each other.
Given:
OJ = 30OM = 30 + 10 = 40OK = 3ON = 3 + 1 = 4Thus:[tex]\frac{OM}{OJ} = \frac{ON}{OK}[/tex]
Substitute[tex]\frac{40}{30} = \frac{4}{3}[/tex] (proportional)
Also, <NOM and <KOJ are congruent to each other (included angles).
Therefore, since we have two sides in each triangle that are proportional to each other, and a corresponding included angle in both triangles that are congruent, both triangles are similar.
The similarity statement is: [tex]\triangle NOM \sim \triangle KOJ[/tex]
Theorem: Side-Angle-Side Similarity Theorem (SAS)
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If 4a-3 = 2a then 12a=?
Answer:
18
Step-by-step explanation:
4a-3=2a
2a=3
a=1.5
12a=1.5*12
12a=18
Can somebody please help me
Answer:
given :
y= 3x,
-3x-y = -24.
now just substitute the values
since y = 3x,
-3x-3x = -24
2/3 X 12 for simplest form
Answer:
yufcyiciygciykgc, nbhgcv
Step-by-step explanation:
98yfgouyfuchkgcbvkhgcihdiytdiytditdytdiytdityghvhgcxdfsrtyuhkjbhcgfdxzsaewrsdxfhgyujkhjmnb cvngfjkhji
Answer:
2/3 x 12 = 8/x
8x
cual es el resuido de 729÷38
Answer:
19
Step-by-step explanation:
☺
Alexandra needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alexandra only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Answer: 213 2/3 miles
Step-by-step explanation:
first we need to set up an equation to solve
let your equation be in y=mx+b form since we are using a rate
Since this is a word problem, dissect it and match each part with a variable in the slope-intercept equation
y = Budget
m = rate
x = how many miles she can go -- the unknown variable
b = the initial fee
Your equation should be: 50 = 0.15x + 17.95
We want to soIve for x now so first get rid of the coefficient not attached to it
To do this, you do the inverse function of addition, which is subtraction
Subtract 17.95 from both sides
Your new equation will be: 32.05 = 0.15x
0.15 is still attached to x, so we want to do the inverse function of multiplication, which is division
divide both sides by 0.15
Your final answer: 213 2/3 miles
Rahul visited Taj Mahal. He found that the fountains near
the entry gate are sprinkling in circles. If the area covered
by the sprinkler of two circles is in the ratio 25:36. Find the
ratio of their circumference.
Answer:
5:6.
Step-by-step explanation:
The areas are 2 dimensional and the circumference is one dimensional.
So the ratio of the circumferences is √25:√36
= 5:6.
2x-7y=14
Solve for x
which expressipm is equilivant to 6x + 7 - 12 * 2 -(9 + 2) - x
Answer:
7x * 14
Step-by-step explanation:
hope this helps :)
Write inequalities to represent the situations below.
Ryan exercises no less than 35 minutes per day. Use t to represent Ryan's amount of exercise (in minutes per day).
( ≤ < > ≥ )
Answer:
T<45
Step-by-step explanation:
More than is a greater than symbol
Inequalities help us to compare two unequal expressions. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Ryan exercises no less than 35 minutes per day. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
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