An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The two numbers are 3842 and 2642.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Two numbers:
The difference between the numbers is 1200.
The total of the two numbers = 6484.
Let the numbers be M and N.
Now,
M - N = 1200 ____(1)
M + N = 6484 _____(2)
From (1) and (2) we get,
M = 1200 + N ____(3)
Putting (3) in (2) we get,
1200 + N + N = 6484
1200+ 2N = 6484
2N = 6484 - 1200
2N = 5284
N = 5284/2
N = 2642 putting in (3) we get,
M = 1200 + N
M = 1200 + 2642
M = 3842
Thus the two numbers are 3842 and 2642.
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14. The supervisors of a rural county are interested in the proportion of property owners who
support the construction of a new high school for the area. Rather than contact all 7,000 of
the owners, the supervisors decide to take a random sample of 300.
(a) During each interview, the supervisor's representative asks, “Do you support the building
of a new high school for the area?” For this sample, 58% of the respondents said yes. If
the representative took a second random sample of 300 property owners, would this
second sample proportion of those who support building a new high school be exactly the
same as that found in the first sample?
(b) If the representative has increased the sample size to 600 owners, what effect would this
have on the estimated proportion of owners who would support building the high school?
Evaluate the formula z=
p−p
pq
n when p=
537
1851, n=1851, p=0.30, and q=1−p
Work Shown:
[tex]z = \frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\\\\\\z = \frac{\frac{537}{1851}-0.30}{\sqrt{\frac{0.30*(1-0.30)}{1851}}}\\\\\\z \approx \frac{0.290113-0.30}{\sqrt{\frac{0.21}{1851}}}\\\\\\z \approx \frac{-0.009887}{\sqrt{0.000113}}\\\\\\z \approx \frac{-0.009887}{0.010630}\\\\\\z \approx -0.93010348071496\\\\\\z \approx -0.93\\\\\\[/tex]
What is 1 3 fourths x 8?
Answer:
14
Step-by-step explanation:
1 3 fourths is 7/4
(7/4)*8
4 cancels out with 8
2*7=14
1 3 fourths = 1 3/4 = 7/4
=》 7/4 × 8 (cancel out 4 & 8)
=》 7 × 2 (multiply them)
=》 14
____
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
-x+3y=0
x+3y=12
System of linear equation by elimination
Answer:
x=6
y=2
Step-by-step explanation:
-x+3y=0 (1)
x+3y=12 (2)
(1)+(2)<=> 6y=12
Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x
x=
Based on the centroid theorem, the value of x is: 2.5.
What is the Centroid Theorem?The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.
Given:
BD = 4x + 5
BF = 9x
Thus:
BD = 2/3(BF)
Substitute4x + 5 = 2/3(9x)
4x + 5 = 6x
4x - 6x = -5
-2x = -5
x = 5/2
x = 2.5
Therefore, based on the centroid theorem, the value of x is: 2.5.
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ten times the reciprocal of a number equals 5 times the reciprocal of 3
The reciprocal of a whole number is a fraction with the whole number as the denominator.
Set up the equation:
10 * 1/x = 5 * 1/3
Simplify:
10/x = 5/3
Multiply both sides by 3:
30/x = 5
multiply both sides by x:
30 = 5x
Divide both sides by 5:
x = 6
Answer: 6
question 9, literally almost done
Answer:
A 4
Step-by-step explanation:
2(3)=6-2=4
Answer:
D. 8
Step-by-step explanation:
f(3) = 2·3 - 2 = 4
2·f(3) = 2·4 = 8
20% tip on a bill of $111.82
Answer: about 22.364 or 22.365, I depends on how you to round it
Step-by-step explanation: 0.2*111.82
Answer:
22.364
Step-by-step explanation:
11.82x0.2=22.364
The first four terms of a sequence are 5,-3,-11,-19. Which of the following is an equation for the nth term of the sequence?
an=8n−3A sub n is equal to 8 n minus 3
an=n−4A sub n is equal to n minus 4
an=−8n+13A sub n is equal to negative 8 n plus 13
an=−8n−8
Answer:
Step-by-step explanation:
-3-5=-8
-11-(-3)=-11+3=-8
-19-(-11)=-19+11=-8
it is an A.P. and c.d.=-8
so nth term is
an=a1+(n-1)d
an=5-(n-1)(-8)
an=5+8n-8
an=8n-3
Triangles ABD and XYZ are similar .Find the length of the segment XZ.
Answer: 2.4
Step-by-step explanation:
Because they are similar, the lengths of the sides will have the same ratio.
We will use side AB and side XY since it shows both sides.
This shows that the ratio is 3:4
We can then use that to find out that XZ also uses the ratio 3:4
3.2 / 4 = 0.8
0.8 * 3 = 2.4
XY is equal to 2.4
WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8
Answer:
X^2 + 10x +24
Step-by-step explanation:
I hope this helps!
pls help me with this:((((((
Answer: Multiple answers
Step-by-step explanation:
Answer: Multiple answers
Step-by-step explanation:
P.E.M.D.A.S (order of operations)
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (From left to right)
M=Multiplication
D=Division
Multiplication is done before division.
So, multiply 1.21*2 for the first problem, and 1.20*2 for the other 2 problems.
1.
24/(1.21)2 becomes 24/2.42
24/2.42= 9.9173553719 (or 9.92 rounded, or 9.9)
2.
29/(1.20)2 becomes 29/2.4
29/2.4= 12.0833333333 (or 12.08 rounded, or 12.1)
3.
40/(1.20)2 becomes 40/2.4
40/2.4= 16.6666666667 (or 16.7 rounded)
I am not sure if you have to round your answers up, so I provided those answers as well in case.
Hope this helps!
How much would it cost to build 10 houses if it costs 7 500 000 per house.
Answer:
75 000 000
Step-by-step explanation:
7 500 000 times 10 = 75 000 000
what is the value of X and what is the value of Y
PLEASE HURRY
The triangle that does not have the y angle, equate all of its angles to 180 degrees and solve for x. Once you solve for x, substitute that value to the angles in the other triangle, and then add them all up and equate it to 180 degrees to solve for y.
solve pls brainliest
a
distance is -8
b
-7 - 1 = -8
1 - (-7) = 8
c
l-7 - 1l = 8
l 1 - (-7)l = 8
hope this helps
Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?
Aliza plays basketball every Tuesday and
Thursday. She practices piano every other
day. If June started on a Monday, and if
Aliza played piano that day, on how many
days did she both play basketball and practice piano in June (which has 30 days)?
A. 2 days
B. 4 days
C. 5 days
D. 7 days
Answer:
4 days
Step-by-step explanation:
June starts on Monday
for 30days we have 4 weeks starting from Monday to Sunday and extra 2 days which are Monday and Tuesday
so we have 5 mondays and tuesdays
4 wed, thu, fri, sat, sun
Aliza played piano on june1 monday
So aliza played basketball on 5 tues + 4 thurs = 9 days
for calculating both basketball and paino
piano day should be on tuesday or thursday
from the below picture u can see pink dots are piano days
and yellow circles are both piano and basketball days
so on alternate weeks they are coinciding
so there are 4 days
Last person got it wrong so, give it a try? At the beginning of the year, Sam weighs 57 pounds. During the year, he loses 4 pounds and then gains 9 pounds. What is Sam's weight now? Also, its not 64 so, dont tell me 64 thx
Answer:
62 Pounds
Step-by-step explanation:
Sam weighs 57 pounds
he loses 4 pounds So he has 53 pounds now
then gains 9 pounds
53 + 9 = 62
Therefore Sam weighs 62 pounds
a poultry farmer sold 1/2 of his eggs and ate 1/3 of the remainder if he has 400 left how many eggs had he originally
Answer:
2400 eggs
Step-by-step explanation:
1. To find out how many eggs the poultry farmer had originally, we have to reverse the steps of him selling and eating this eggs.
This means to basically multiply 400 by the reciprocal (inverse) of 1/2 and 1/3.2. (Solving)
[tex](2)(3)(400)[/tex] [tex](6)(400)[/tex] [tex]2400[/tex]Therefore, he had 2400 eggs originally.
Write 21/5 x 5/14 in its simplest form
Pls help
Answer:
3/2
Step-by-step explanation:
21/5×5/14
105/70
divide by 5
21/14
divide both by 7
3/2
I think of a number ÷ 4 and add 11 result is 19 find the number
Answer:
32
Step-by-step explanation:
work backwards, 19-11=8 then x 4 makes 32.
Answer:
32
Step-by-step explanation:
Let the number be 'x'
[tex]\dfrac{x}{4}+11=19[/tex]
Subtract 11 from both sides
[tex]\dfrac{x}{4}=19 - 11\\\\\dfrac{x}{4}=8\\[/tex]
Multiply both sides by 4
x = 8*4
x = 32
Two friends collect boxes of cereal for charity. One friend collects 22 bins with 36 boxes each, and the other collects 18 bins with 24 boxes each.
How many boxes did they collect altogether?
Answer:
1224 boxes altogether
Step-by-step explanation:
Form two products and add the products together, as follows:
(22 bins)(36 boxes) + (18 bins)(24 boxes) = 1224 boxes altogether
PLEASE PLEASE ANSWER
Answer:
Step-by-step explanation:
So the sum of 128 and x+10 is on a straight line which is 180º right?, so:
x + 10 + 128 = 180
x = 180 - 128 - 10
x = 42º
Answer:
42
Step-by-step explanation:
x +10 +128 = 180 {Linear pair}
x + 138 = 180
x = 180 - 138
x = 42
Pleassseee help answer without an actual answer you will be reported
Thomas is a car salesman. He is paid a salary of $1600 per month plus $300 for each car that he sells. His salary can be modeled by the equation f(x) = 300x + 1600 where x is the number of cars sold. Graph this equation and give its domain and range.
Answer: D: 0, 1, 2, 3
R: ($1600, $1900, $2200, $2500,...)
Fyi: If you want answers to something I don't think threating to reporting people trying to help you is a good idea.
The Domain is {0, 1, 2, 3, 4} and Range is { 1600, 1900, 2200, 2500, 2800}.
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
He is paid a salary of $1600 per month plus $300 for each car that he sells.
and, His salary can be modeled by the equation f(x) = 300x + 1600
The Domain can be taken as
x= 0, 1, 2, 3, 4
and, the range is
f(0)= 1600
f(1)= 1900
f(2)= 2200
f(3)= 2500
f(4)= 2800
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if john can cover 360 miles in 3 hours find the number of mile covered by john in 1 minute
Answer:
John can cover 2 miles in 1 minute
Step-by-step explanation:
There are 180 minutes in 3 hours. So 360 ÷ 180 = 2
Enjoy your day! ( ･U･)♡
Market researchers were interested in the relationship between the number of pieces in a building-brick set and the cost of the set. The researchers collected information from a survey and used it to obtain the regression equation y = 0.08x + 1.20, where x represents the number of pieces in a set and y is the predicted price (in dollars) of the set. What is the predicted price of a set that has 2,520 pieces?
A. $202.80
B. $2,017.20
C. $3,024.08
D. $31,485
Answer:
A. $202.80 EDGE
Step-by-step explanation:
The predicted price of a set that has 2,520 pieces is $202.8.
The correct option is (A).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y = 0.08x + 1.20
where x represents the number of pieces in a set and y is the predicted price.
So, for x= 2520 pieces the predicted price is
y= 0.08(2520)+ 1.20
y= 201.6 + 1.5
y= $202.80
Hence, the predicted price is $202.8.
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Describe the order of operations you would use to
evaluate 8 +
4(32)
"The first step is to…then..finally
The angles in a quadrilateral ABCD are A(3x+10), B(3x+4), C(x+50) and D(5x+8). Find the angles of the quadrilateral ABCD
please answer it fast..thank u
Answer:
A 8º
B 76º
C 74º
D 128º
Step-by-step explanation:
The sum of the angles is 360
(3x + 10) + (3x + 4) + (x + 50) + (5x + 8) = 360
Combine like terms
12x + 72 = 360
Subtract 72 from both sides
12x = 288
Divide both sides by 12
x = 24
--------------
A (3x+10) = 3*24 + 10 = 82
B (3x+4) = 3*24 + 4 = 76
C (x+50) = 24 + 50 = 74
D (5x+8) = 5*24 + 8 = 128
tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up
Answer:
your so funny for a annoying kid
Step-by-step explanation:
A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?
Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.
Answer:
23:18,23 to 18,23/18
Step-by-step explanation:
the three ways to write a ratio are colon,the word to, and the divide symbol .
