Seven huge boxes and two tiny boxes total were bought by the contractor.
A linear equation is defined as an algebraic equation of maximum degree 1 is a linear equation.
According to the question, a builder needs to purchase nails to construct a house.
Both small and large boxes of nails are provided. There are 50 nails in each small box and 350 in each large box.
The contractor purchased 5 more large than tiny boxes, hence it is assumed that he purchased a certain number of little boxes.
He purchased (x+5) huge cartons.
So, 50(x) + 350(x+5) = 2590.
50x + 350x + 1750 = 2590.
400x = 2590 - 1750.
400x = 840.
x = 2.1
The bulk of the boxes he bought is 7.
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Cyclical Unemployment Rate = 1%
Natural Unemployment Rate = 6%
What is the Actual Unemployment rate?
The Actual Unemployment rate is 7%.
What is unemployment?Unemployment simply means a scenario where those who are willing and able to work can't find suitable jobs.
Cyclical Unemployment Rate = 1%
Natural Unemployment Rate = 6%
The Actual Unemployment rate will be:
= Cyclical Unemployment Rate + Natural Unemployment Rate
= 1% + 6%
= 7%
The unemployment is 7%.
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Question 6(Multiple Choice Worth 1 points)
(05.07 MC)
A scatter plot is made to model the amount of money left to pay on a car loan. The data used for the scatter plot are shown in the table:
Number of Months 3
Money Owed $19,500 $18,500 $21,500 $20,000 $22,000 $19,000
5
1
What does the y-intercept of the model represent?
O The monthly payments
The original amount of the loan
2
O The number of months it takes to pay off the loan
The amount of the loan that has been paid that month
0
4
Correct option is third option - " the original amount of the loan "
What is linear equation ? A linear equation, a first-order polynomial, that is, H. The sum of a series of terms, each of which is the product of a constant and a variable to the first power, equals the constant. In particular, linear equations in n variables have the form a0 + a1x1 + ... + anxn = c. where x1,...,xn are variables, coefficients a0,...,an are constants, and c is a constant. With multiple variables, the equation may be linear in some variables and non-linear in others. So the equation x + y = 3 is linear in both x and y, but x + y2 = 0 is linear in x but not in y. An equation of two linear variables represents a straight line in Cartesian coordinates. If the constant term c = 0, the line passes through the origin. A linear equation is an algebraic equation of the form y=mx+b. The above is sometimes called a "linear equation in two variables" where y and x are variables.Calculationx value would be the time in months and y value would be the loan amount that is left.
The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.
That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.
correct option is third option -- "the original amount of the loan".
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Graph the linear inequality below.
y ≤ x -5
To see the attachment of graph of linear inequality.
Given,
In the question:
The linear inequality is given as:
y ≤ x -5
To graph the above inequality.
Now, According to the question:
What is linear inequality?
Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Math. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Math are polynomial inequality, rational inequality, absolute value inequality.
Hence, To see the attachment of graph of linear inequality.
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translate (1,-2) 4 left
The new coordinate after the translation of 4 point left is (-3, -2)
Translation
Translation is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.
Given,
Here we have the points (1, -2).
Now, we have to translate this point by left side by 4 point.
In order to translate the given point we have to take the value of the x coordinate and then we have to subtract the translation point from it,
So, the calculation for this one is look like
Here the value of the x coordinate is 1
And now we have to subtract 4 from it,
So,
=> 1 - 4
=> -3
Therefore, the new coordinate after the translation is (-3, -2).
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Which division setup matches this question? Dr. Bender feeds her dog ½ of a cup of dog food each day. How long will 5 ¾ cups of dog food last?
Answer:
5 days
Step-by-step explanation:
you need to make 5 3/4 into an improper fraction
(5x40)+3/4= 23/4
make all fractions have a common denominator
1/2 = 2/4
you multiply numerator and denominator by 2 to get a denomintator of 4
23/4 ÷ 2/4
to divide a fraction you turn the second fraction into a reciprocal
2/4 in a reciprocal is 4/2
then you multiply the fractions together
23x2/2x4
simlplify to get
46/8 = 23/4
make into a mixed number by dividing by 4
5 3/4
Please someone help me with this question my exams in a few days
Answer:
see explanation
Step-by-step explanation:
(i)
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
(k + x)² = m² + (k - x)² ← expand factors on both sides using FOIL
k² + 2kx + x² = m² + k² - 2kx + x² ( add 2kx to both sides )
k² + 4kx + x² = m² + k² + x² ( subtract k² + x² from both sides )
4kx = m² ( divide both sides by 4k )
x = [tex]\frac{m^2}{4k}[/tex]
----------------------------------------------------------
(ii)
the area A of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = m and h = k - x
A = [tex]\frac{1}{2}[/tex] m (k - x) ← substitute x = [tex]\frac{m^2}{4k}[/tex]
= [tex]\frac{1}{2}[/tex] m ( k - [tex]\frac{m^2}{4k}[/tex] ) ← distribute parenthesis
= [tex]\frac{mk}{2}[/tex] - [tex]\frac{m^3}{8k}[/tex] ← express as a single fraction
= [tex]\frac{4mk^2-m^3}{8k}[/tex] ← factor out m from each term in the numerator
= [tex]\frac{m(4k^2-m^2)}{8k}[/tex] ← factor (4k² - m² ) as a difference of squares
= [tex]\frac{m(2k+m)(2k-m)}{8k}[/tex]
pamala's age is 2 * jiri's age the sum of their ages is 48 what is Jiri's age
Answer:
16
Step-by-step explanation:
p = 2j
p+j = 48
2j + j = 48
3j = 48
3/3 j = 48/3
j = 16
Given the definitions of f(x) and g(x) below, find the value of (gof)(-2).
f(x) = 3x² – 3x – 7
-
g(x) = -3x - 10
Answer:
(g.f)(-2) = -44
Step-by-step explanation:
Given:
f(x) = 3x² - 3x - 7
g(x) = -3x - 10
[tex] \rm \implies(g.f)( - 2) = [3 {( - 2)}^{2} - 3( - 2) - 7][ - 3( - 2) - 10] \\ \\ \rm \implies(g.f)( - 2) = [3 (4) + 6 - 7][ 6 - 10] \\ \\ \rm \implies(g.f)( - 2) =(12 - 1)( - 4) \\ \\ \rm \implies(g.f)( - 2) =11 \times ( - 4) \\ \\ \rm \implies(g.f)( - 2) = - 44[/tex]
A school of 38 teachers has 15 married women. If 6 of the teachers are couples, how many of the teachers are neither married nor have their spouses not in the school?.
Answer:
17
Step by step explanation
15-6=21
38-21=17
Please help me with this and also remember your answer has to be step by step
The two figures above are congruent. Find the measure of the angle that isn't labeled on either figure.
The measure of the angle that isn't labeled are:
∠B = 100
∠K = 100
∠L = 41
∠M = 86
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Two congruent figures.
Each figure's total sum of the angles must be 360.
The figures are congruent so the corresponding angles must be equal.
From the first figure we get,
∠A = 133 ( Corresponding angles )
∠A + ∠B + ∠C + ∠D = 360
133 + ∠B + 41 + 86 = 360
∠B = 360 - 260
∠B = 100
Now,
∠k = ∠B = 100
∠L = ∠C = 41
∠M = ∠D = 86
Thus,
The measure of the angle that isn't labeled are:
∠B = 100
∠K = 100
∠L = 41
∠M = 86
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In order to solve this equation for x, what expression must be multiplied by each
term?
4/x-1 - 1/ x^2-1= 6/x-1
answers:
A. (x^2-1)
B. (x+1)
C. (x-1)
D. this equation can be solved as is.
E. (x+3/2)
The common factor for the rational expression presented in this problem is given as follows:
A. (x²-1).
How to obtain the greatest common factor of the expression?The rational expression in this problem is given as follows:
4/(x - 1) - 1/(x² - 1) = 6/(x - 1).
It is called a rational expression as it has the variable x in the denominator.
The common factor, which is the expression that multiplies each term, is obtained considering all the terms that are present in the denominators.
The denominators to each term of the expression are listed as follows:
x - 1.x² - 1 = (x - 1)(x + 1) -> subtraction of perfect squares.x - 1.Hence the two terms present in the denominators of the expression are:
(x - 1)(x + 1) = x² - 1 -> subtraction of perfect squares.
Hence option A gives the correct term.
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The rise and run of the line, state the slope in simplest form
Answer:
it is called horizon simple question simple answer
A, B, C, D, E, F, G & H form a cuboid.
AB= 5.4 cm, BC = 3.4 cm & CG = 6.7 cm.
Find HC rounded to 1 DP.
Refer to the attachment for the diagram:
The length of HC rounded to 1 DP = 9.3 cm²
What is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has eight vertices, twelve edges, and six rectangular faces. A rectangular prism is another name for a cuboid. A cube is an object with six square faces on a cuboid.
From the figure,
length (l)= 5.4 cm = AB
width (w)=3.4 cm = BC
height (h)= 6.7 cm = CG
Formula:
Length of diagonal = √(l²+w²+h²) = √(5.4²+3.4²+6.7²) = 9.25 cm²
Rounded to 1 decimal point:
9.3 cm²
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what do integers added or subtracted from the function do to the graph?
The addition or subtraction of a constant to a function will change its position in the cartesian plane. Depending on the sign of the constant, it can shift upwards or downwards.
Let a quadratic function be f(x) = 2x^2.
Let c be the positive constant.
It is now necessary to determine what will happen if we add or subtract a constant to the function.
The function f(x) = 2x^2 is a parabola opening upwards.
Now, if we add the positive constant c, then the graph of the function will shift upwards by c units and nothing will change. If we subtract the positive constant c, then the graph of the function will shift downwards by c units.
Thus, the addition or subtraction of a constant to a function will change its position in the cartesian plane. Depending on the sign of the constant, it can shift upwards or downwards.
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Answers ? Help pls ):
ONLY ANSWER IF YOU REALLY KNOW IT ! NO LINKS !
Answer:
Break even 126 units
105x - (90x + 1890) Profits will be revenue minutes expenses.
The second answer.
Step-by-step explanation:
105x = 90x +1890 Subtract 90x from both sides
15x = 1890 Divide both sides by 15
x 126
They need to sell 126 units to break even.
105(91) -[90(91) + 1890]
9555-8190-1890
9555 - 16380
-6825
Selling 91 units will produce a loss of 6825
HELP ASAP!!
Match each equation on the left to its solution on the right.
Some answer choices on the right will be used more than once.
2(6+4x)= 8x + 6
2(4x − 2) = 10x – 6
7+x=2x+6
2x+2=-2(1-x)
x = all real numbers
x = 1
no solution
Answer:
I believe that these are the answers.
Step-by-step explanation:
1. 2(6+4x)=8x+6 No Solution
2. 2(4x − 2) = 10x – 6 x=1
3. 7+x=2x+6 x=1
4. 2x+2=-2(1-x) No Solution
Hope this helps
Answer:
Step-by-step explanation:
2(6 + 4x) = 8x + 6
12 + 8x = 8x +6
12 -6 + 8x = 8x + 6 -6
6 + 8x = 8x
6 + 8x - 8x = 8x -8x
6 = 0
no solution
2(4x -2) = 10x -6
8x -4 = 10x -6
8x - 4 +4 = 10x -6 +4
8x = 10x - 2
8x - 10x = 10x -10x -2
-2x = -2
-2x/-2 = -2 /-2
x = 1
7 + x = 2x +6
7 -6 + x = 2x +6 -6
1 + x = 2x
1 + x -x = 2x -x
1 = x
2x + 2 = 2(1 - x)
2x + 2 = 2 - 2x
2x +2 -2 = 2 -2 - 2x
2x = -2x
2x + 2x = -2x + 2x
4x = 0
4x/4 = 0/4
x = 0
I could not get x = all real numbers for any of the equations.
assistance I'm stumped it is a very hard question for me answer correct first and be awarded the brainlyest.
Answer:
u = 2
Step 1: Simplify both sides of the equation.
−7u −u +2u +11u = 10
−7u +−u +2u +11u = 10
(−7u +−u +2u +11u) = 10 (Combine Like Terms)
5u = 10
Step 2: Divide both sides by 5.
5u/5 = 10/5
Hope this helped!
The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours?
After 2 hours Serenity and Mystic will be 72 miles apart
The speed of the Serenity = 16 mph
The time taken = 2 hours
The speed = Distance / Time
The distance = The speed × time
The total distance traveled = 16 × 2
= 32 miles
The speed of the Mystic = 20 mph
The time taken = 2 hours
The distance = The speed × time
Total distance traveled = 20 × 2
= 40 miles
Total distance = 32 + 40
= 72 miles
Hence, after 2 hours Serenity and Mystic will be 72 miles apart
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um so like hii,, not school related or anyrhing but ill just like to ask anyone if they know the reason why ur phone (samsung) like randomly delted ur music and photos. yah and ill like to know how u could resolve that from happening again
Answer: Can you check the "Recently Deleted" folder? You may find this in the "My Files" app. If this does not work, and you can confirm you have no backups whatsoever, then your photos are as good as gone. This has happened to Android devices in the past (or Samsung devices mostly) where all their media would just disappear. As far as I know, all Samsung themselves say is to restart your phone to try your luck. An app crashing or some form of corrupt media may have caused your photos to go missing. There may, however, still be a small chance that the photos are there, somewhere on your phone, you just can't find them. I advise checking the storage in "Device Care" and see if the Gallery app is using much storage. If it is, I would connect it to a PC and look through the files again.
Step-by-step explanation:
1. Which of the following numbers has factors that
include the smallest factor (other than 1) of 111?
A. 15
B. 22
C. 28
D. 40
The smallest factor (other than 1) of 111 would be 15.
Option (A) is correct.
What is the smallest factor of a number other than 1?
A number can have a maximum of one factor, and only one has that many factors. Every other number has more than one factor.
Prime numbers have two factors, for example, 2,3,5,7,11...,2729...,2927, 9999959999, and so on. Prime numbers have only one factor the number itself.
The factors of 111 are 1, 3, 37, and 111.
for option (A), the factors of 15 are 1, 3, 5, and 15.
for option (B), the factors of 22 are 1, 2, 11, and 22.
for option (C), the factors of 28 are 1, 2, 4, 7, 14, and 28.
for option (D), the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
So if you observe all the options, the smallest factor (other than 1) of 111 would be 15.
Hence, the smallest factor (other than 1) of 111 would be 15.
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Which expression is equivalent to 5m - (2m - 8) + 12 + 6m?
[tex]=5m-2m+8+12+6m\\=5m-2m+6m+8+12\\=3m+6m+20\\=9m+20[/tex]
The answer is 9m+20,it is equivalent to the expression in the question.
a=4,n=8,7=2,x=10
do anybody know
what the answer
is;l
Answer: The answer to this question would either be 8 or it would be 7.
Carlos paid $150.95 for Luxury Vinyl Flooring for his Family Room
which is 121 Square feet. He purchased a 1 square foot sample at Lowes to take home to see if the flooring will match his fireplace
in the Family room.
Based on this price, what is the cost of the
sample?
$1.25
$0.95
$1.00
$1.20
Step-by-step explanation:
121 ft² cost $150.95
1 ft² costs then 150.95/121 = $1.247520661... ≈
≈ $1.25
what is the inequality
Answer:-4<x<=5
Step-by-step explanation:
The white dot is above -4 and the filled in dot is above 5. Put that together plus the correct inequality signs and you get -4<x<=5
Answer: [tex]-4 < x\leq 5[/tex]
Step-by-step explanation:
The inequality ends at 4 and it is colored white so x must be greater than -4 therefore the first expression is x > -4 or -4 < x.
The other side of the inequality ends at 5 and it's colored black so x is less than or equal to 5. Therefore the second expression is [tex]x\leq 5[/tex].
if we merge the two equations together than we would get [tex]-4 < x\leq 5[/tex].
I hope that helped you.
:)
what is the probability of getting heads twice in a row at some point during three coin flips? assume it is a fair coin where heads and tails are equally likely.
The probability of getting heads twice in a row at some point during three coin flips is 1/8.
Given info;
Assume that a fair coin has an equal chance of coming up heads or tails.
What is the likelihood that three coin flips will result in two consecutive heads at any point?
There is a three-coin flip. The potential results are;
(HHH) (HHT) (HTH) (HTT) (HTT) (THH) (THT) (TTH) (TTT)
1 is the number of successful results.
Probability is calculated as follows: Probability = Number of favorable Results / Total Number of Results = 1/8
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examples of one solution
Answer:I can’t see image on mobile
Step-by-step explanation:
h
x divided by 12; x= 2/3
Answer:
1/18
Step-by-step explanation:
Since x=2/3, we can plug in 2/3 for x, and we have 2/3 divided by 12.
Based on what we know about fractions, we can say that dividing by 12 is the same as multiplying by 1/12.
Therefore, we have the expression 2/3*1/12.
Next, we get 2/36, which can be simplified into 1/18.
i need help asap show your work
Answer:
G. 12
Step-by-step explanation:
Step 1: Use PEMDAS to start solving
Start solving by following the following:P: ParenthesesE: ExponentsM: Multiplication [or]D: DivisionA: Addition [or]S: Subtraction*Note: After solving any exponents, you solve from left to right. Also, when solving from left to right multiplication or division can be solve; it depends on which one occurs first. The same goes for addition and subtraction; if subtraction occurs before addition, then you subtract first.Step 2: Solve the problem
*Note: Absolute value is considered the same as parentheses.[tex]5-|7-9|+3^{2}[/tex][tex]5-|-2|+3^{2}[/tex]*Note: Absolute value is the distance a number is from zero, so it is always positive.[tex]5-2+3^{2}[/tex][tex]5-2+9[/tex][tex]3+9[/tex][tex]=12[/tex]What do you have to do to
determine which function increases faster when
looking at a table and a graph of two different
functions PLS SOMEONE HELP
To determine which function increases faster, we have to find the ratio = [tex]\frac{\triangle y}{\triangle x}[/tex].
Rate of Change:
A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
[tex]\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}[/tex]
How to determine:
Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values [tex]x_{1}[/tex] and [tex]x_{2}[/tex].
Calculate the difference [tex]y_{2}-y_{1} = \triangle y[/tex]Calculate the difference [tex]x_{2}-x_{1} = \triangle x[/tex]Find the ratio [tex]\frac{\triangle y}{\triangle x}[/tex]Hence the answer is to determine which function increases faster, we have to find the ratio = [tex]\frac{\triangle y}{\triangle x}[/tex].
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sara takes wedding pictures. for each picture, she has 1/4 chance that everyone looks at the camera. how many pictures must she take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera?
For at least 6 pictures she must take to have at least a 4/5 chance of having a picture in which everyone is looking at the camera.
Let p define the probability of success in a Bernoulli trial, and P define the probability Sara wants to reach "at least" and n be defined as the number of trials. Then,
= 1 - (1 - p)ⁿ ≥ P
= (1 - p)ⁿ ≤ 1 - P
= n ≥ ln(1-P)/ln(1-p)
= n ≥ ln (0.2) / ln (0.75)
=5.6
Hence for at least n=6 photos, there is at least a chance of 4/5 that everyone is looking at the camera.
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