Answers
Answer:
y=16
Step-by-step explanation:
Notice that the first equation was multiplied by 4, so you have to multiply the result by 4 to keep it as a true equation
Related Questions
Mr. Seals wants to make a scale drawing of the rectangular floor in his classroom. In the scale drawing, the width of the classroom is 5 inches. The width of the actual classroom is 20 feet.
What scale did Mr. Seals use to create the scale drawing of his classroom?
A.1 inch represents 4 feet
B.4 inches represents 1 foot
C.1 inch represents
foot
D.4 inches represents
foot
Answers
The scale which Mr. Seals used to create the scale of the drawing as required is; Choice A; 1 inch represents 4 feet.
What scale did Mr. Seals use to create the scale drawing of his classroom?It follows from the task content that the scale used by Mr. Seals is to be determined.
According to the task content; the width of the classroom is 5 inches and the width of the actual classroom is 20 feet.
On this note, it follows by proportion that we have;
5 inches / 20 feet.
= 1 inch / 4 feet.
Consequently, it can be inferred that the required scale is; 1 inch represents 4 feet.
Hence, Choice A is correct.
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3. Javier's team made 3 out of 5 penalty kicks.
What percent did they make?
Answers
Answer:
60%
Step-by-step explanation:
3 divided by 5 is 0.6
Multiply this by 100 to get the percent and you will end ups with 60%
Hopes this helps please mark brainliest
An in vestment of $1 was put in a account.every 8 years the money was doubled.no additional money was added to the account.would the expression 1x2x2x2x2x2x2 correctly represent how much was in investment account after 48 years?explain
Answers
Answer:
Yes
Step-by-step explanation: Because ever eight years the money in the account doubles, and 48/6=8 so your money would double 6 times, just like it does in the expression.
A retirement account is opened with an initial deposit of $9,500 and earns 7.15% Interest compounded monthly. What will the account be worth in 20 years? (Round your answer to the nearest cent.)
Answers
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
In 20 years, the account will be worth $39,529.55.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $9500
r = 7.15%
n = 12
t = 20 years.
Substituting in the formula we get,
A = P [tex](1 + r/n)^{nt}[/tex]
A = 9500 [tex](1 + 7.15/12)^{12\times20}[/tex]
A = 9500 x [tex]1.0059^{240}[/tex]
A = $39,529.55
Thus,
In 20 years, the account will be worth $39,529.55.
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Which of the following represents all solutions
(x,y) to the system of equations shown below?
y=x−2
y=x^2−x−5
WHAT ARE THE STEPS TO COMPLETING THIS PROBLEM
Answers
The following equations represents all the solutions (x, y) to the system of the equation is y=x²−x−5
What is meant by an equation?The definition of an equation in algebra is a mathematical statement that proves that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
An equation is a mathematical statement that states that two amounts or values are equal, for as 6 x 4=12x2. An equation is a scenario in which two or more pieces must be considered together in order to understand or describe the total situation.
The given equations are:
y=x−2
y=x²−x−5
Let us take the second equation.
y=x²−x−5
x-2=x²−x−5
x²−2x-3=0
x²-3x+x-3=0
x(x-3)+1(x-3)=0
x-3=0, x+1=0
x=3, x=-1
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FOUR BROTHERS INHERIT 30 1/2 ACRES OF LAND ALTOGETHER. THEY DECIDE TO SHARE IT
EQUALLY. HOW MUCH LAND DOES EACH BROTHER GET? (Sorry for the caps by the way)
Answers
Answer:
well lets see here
30.5/2
which if they divide it equally, it is 15.25
I hope this helps!
Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
y = 4x + 3
4x + y = 3
Answers
Answer: neither
Step-by-step explanation:
For a graph to be parallel, it must have the same slope.
e.g., y = 2x and y = 2x + 1 are parallel because they both have the slope "2"
For a graph to be perpendicular, its slopes must be the reciprocal of each other, and the sign (positive/negative) is flipped
e.g., y = 2x and y = -1/2x + 1 are parallel because their slopes are reciprocals to each other, and the sign is flipped.
To know whether y = 4x + 3 and 4x + y = 3 are parallel, perpendicular, or neither, we have to identify the slopes and use what was mentioned previously:
Identifying the slope:
y = 4x + 3 slope = 4
4x + y = 3 --> y = -4x + 3 slope = -4
The slopes are different, so they are not parallel
As the slopes are not reciprocals, they are not perpendicular.
The graphs are neither parallel nor perpendicular.
the initial value of a counting semaphore is initialized to 7. a total of 20 p() and 15 v() operations are performed on the semaphore in that order. what will be the final value of the semaphore?
Answers
2 will be the final value of the semaphore.
What is the counting semaphore's initial value?
The semaphore's value represents the number of resources that are available; a thread can P the semaphore to acquire a resource, utilize it, and then V on the semaphore to return the resource to the pool. The sum of the resources that are readily available ought to be the semaphore's starting value.Initial value of a counting semaphore = 7
totalP() operations performed on the semaphore = 20
totalV() operations performed on the semaphore = 15
Final valoe of semaohore = ?
after 20 P operations performed on the semaphore,
value of the semaphore =
Initial value of a counting semaphore - total P() operations performed on the semaphore
= 7 - 20 = - 13
after 15 V operations performed on the semaphore,
value of the semaphore =
Value of semaphore after 20P operations performed on the semaphore + total V() operations performed on the semaphore
= -13 + 5
= 2
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Represent the following expressions as a power of the number a where a ‡0.
((a−²)-¹)-¹ ÷ (a÷a¯¹)²
Answers
Properties we are going to use :
1. (a^m)^n = a^mn
2. a^m : a^n = a^(m-n)
((a^-2)^-1)^-1 = (a^(-2 x -1))^-1 = (a^2)^-1 = a^-2
(a : a^-1)^2 = (a^1 - (-1))^2 = (a^2)^2 = a^4
Therefore, the expression is simplified down to a^-2 : a^4
a^-2 : a^4 = a^(-2 - 4) = a^-6.
how many different 7-place license plates are possible if the first 3 places are to be occupied by letters and the final 4 by numbers?
Answers
41,01,06,666.6666667 are possible combinations of a that license plate
What is permutation and combination ?Permutations and combinations are ways of representing groups of objects by selecting them and subsetting them into sets. It defines different ways of arranging a particular data group. When we choose data or objects from a particular group, it is called a permutation and the order in which they are presented is called a combination. Both concepts are very important in mathematics.
CalculationLet's assume the license plate has the 3 letters on the left hand side in a row, and the four letters on the right hand side in a row, like this:
AAA1234
We have have 26 possible letters to choose from, and we make this choice three times. So this gives us 26^3 possible letter combinations. Next, we have 10 single-digit numbers to choose from, and we make this choice 4 times. This gives us 10^4 possible number combinations. Multiplying these gives us 26^3×10^4 possible plates.
On the other hand, if there is no restriction on the placement of letters and numbers, we could have something like this:
A1A2A34B
But we can still only have 3 letters and 4 numbers.
So, to start out let's decide where to put our three letters. We need to pick 3 places out of 7, so thats (7/3) possibilities. Now that we have decided where to put our three letters, the other four spots must be numbers. At this point we have returned to our original problem where we know the positions of the letters and numbers. So the final answer should be
(7/3)×26^3×10^4 = 41,01,06,666.6666667 are possible combinations of a that license plate.
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I don’t understand these three algebra 1 problems. They are in the topic of solving multi-step inequalities and I also don’t get the adding like terms portion.
Thank you for answering this!
Answers
The solutions to the inequalities are given as follows:
6. x < 4.
7. x ≤ 1.8.
8. x ≥ -7.
How to solve an inequality?An inequality is solved similarly to an equality, isolating the variable and then finding a range of values.
For item 6, the inequality is:
x < 0.25(3x + 4)
x < 0.75x + 1
x - 0.75x < 1
0.25x < 1
x < 1/0.25
x < 4.
For item 7, the inequality is:
1.5 + 0.25(x/0.2) ≤ 3.75.
The composition is explained as follows:
1.5: cost for the first 0.2 miles.0.25(x/0.2) : cost for each additional 0.2 = 1/5 mile.Hence the solution is obtained as follows:
1.5 + 0.25(x/0.2) ≤ 3.75.
1.25x ≤ 2.25
x ≤ 2.25/1.25
x ≤ 1.8.
For item 8, the inequality is:
2(x + 4) ≤ 3(x + 7) - 4
No more = less or equal than
Hence
2x + 8 ≤ 3x + 21 - 4
2x + 8 ≤ 3x + 15
x ≥ 8 - 15
x ≥ -7.
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how many 7 character license plates are possible if the first three characters must be letters and the last four must be digits
Answers
Total Number of ways of selecting 7 characters accoring to tthe given condition will be 786240000
What is Permutation?
The term permutation refers to a mathematical computation of the number of possible arrangements of a given collection. Simply said, a permutation is a term that defines the amount of different ways something may be organised or arranged. The order of the arrangement is important in permutations.
Solution:
Assuming Repetation is not allowed
There are 26 letter in alphabet
So, number of ways of selectting three characters will be
26P3 = 26!/ 23!
26P3 = 15600
There are 10 basic digits in the number system
So, number of ways of selecting four characters will be
10P4 = 10!/6!
10P4 = 5040
Total Number of ways will be 15600 * 5040 = 78624000
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someone please explain how to find the coordinates to the solutions
Answers
Check the picture below.
well, the red one is one, now the green one is another and yet if we tiptoe over the circle made by KL we'll always get a right-triangle as you see in the dashed lines, how many? well infinite many.
Write proportion statement and find the missing side of the polygon.
Answers
The missing side we get for the triangle DOG s 56 and the triangle CAT is 90 when the triangle are congruent.
Given that,
In the picture we have 2 triangles,
We have to find the missing sides of the 2 triangles.
We have triangle DOG is congruent to triangle CAT.
Then we can say as,
Take the missing sides as a and b.
CT/ GD= CA/ OD= AT/ GO
126/b= 54/24= a/40
126/b = 9/4 =a/40
Take,
126/b = 9/4
126×4=9×b
504= 9b
b=504/9
b= 56
Now, take
9/4 =a/40
9×40= a×4
360=4a
a=360/4
a=90
Therefore, The missing side we get for the triangle DOG s 56 and the triangle CAT is 90 when the triangle are congruent.
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Jack can run a mile in less then 8 1/2 minutes. Write and graph an inequality to describe this statement
Answers
The graph of an inequality x miles < 8.5 minutes to depict the situation in the question is as attached.
How to draw an inequality number line graph?We are told that Jack can run a mile in less than 8¹/₂ minutes. Now, this can also be written as 8.5 miles.
Now, let the number of miles ran be x miles and it means we can write the inequality of the situation as;
x miles < 8.5 minutes
Now, for the number line graph to depict this situation, it means that the arrow will point to the left and the circle at 8.5 will be unshaded.
Thus, the inequality line graph would be drawn as shown in the image attached to depict the situation that x miles < 8.5 minutes
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An amount of 50000 is borrowed for 14 years at 5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answers
The compound interest at the end of 14 years compounded annually at a rate of 5% is $98,996.58
Compound InterestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period. In Mathematics, compound interest is usually denoted by C.I.
The formula is given as
C.I = P(1 + r/n)^nt
C.I = A = Compound InterestP = principal amountr = raten = number of times compounded t = timeSubstituting the values into the formula
A = 50000(1 + 0.05/1)^1 * 14
A = 98,996.58
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
Slope of the line in simplest form is -1/2.
From the graph:
Take any two points that the line is passing.
(-6, 0) and (2, -4)
slope = rise/run
rise = y2 - y1
run = x2 - x1
slope m = -4 - 0 / 2 - (-6)
= -4/2+6
= -4/8
= -1/2.
Therefore slope of the line in simplest form is -1/2.
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Help me please i am stuck
Answers
Answer:
106 ft^2
Step-by-step explanation:
we can make this a full rectangle and find the area of that
10 by 16 is the dimensions of the new rectangle so we multiply
16x10
160
And then we subtract by what we added by finding the are of the tiny rectangle with the dimensions of 6 and 9
6x9
54
Now we subtract 54 from 160
160-54
106
Hopes this helps please mark brainliest
Five scatterplots are shown. Match each scatterplot to the value of r that corresponds to it.
Use this graphic to answer the question..
Scatterplot E
Scatterplot C
Scatterplot B
Scatterplot D
Scatterplot A
r=-0.925
r=-0.004
r=-0.528
r= 0.997
r=0.567
Answers
The scatter plot showing r = -0.925 is graph c, r = -0.004 is graph a, r = -0.528 is graph d, r = 0.997 is graph d, r = 0.567 is graph b.
What is scatter plot?A scatter plot uses dots to represent values for two different numeric variables.
Given four graphs, to identify which of the scatter plots matches the correlation coefficients that are given:
(i) A scatter plot that shows a trend that rises from the left to your right shows a positive correlation between two variables.
(ii) A scatter plot that shows a trend that descends downwards from the right to your left shows a negative correlation between two variables.
(iii) The farther away the data points are from each other, the greater the value of the correlation coefficient and vice versa.
Hence, r = -0.925 → graph c
r = -0.004 → graph a
r = -0.528 → graph d
r = 0.997 → graph e
r = 0.567 → graph b.
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a least squares regression line . a.may be used to predict a value of y if the corresponding x value is given b.implies a cause-effect relationship between x and y c.can only be determined if a good linear relationship exists between x and y d.is only used for positively correlated data
Answers
The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.
what is regression?
A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.
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[tex]\frac{-36}{9} + (-7)[/tex]
Answers
Answer:
-11
Step-by-step explanation:
-36/9 + (-7)
= -4 + (-7)
= -11
(X) 4.1.PS-8
Evaluate 8.1x + 7.5y when x = 7 and y = 8.
8.1)+7.5(
)=
+60.0
8.1()+7.5()+60.0
(Type integers or decimals.)
Answers
116.7
Step-by-step explanation:
[tex]{ \blue{ \sf{8.1x + 7.5y}}} \: { \to} \: { \red{ \bold{ {eq}^{n} (1)}}}[/tex]
Put x = 7 and y = 8 in Eqⁿ (1)
[tex]{ \blue{ \sf{8.1(7) + 7.5(8)}}}[/tex]
[tex]{ \blue{ \sf{56.7 + 60.0}}}[/tex]
[tex]{ = { \pink{ \boxed{ \purple{ \sf{116.7}}}}}}[/tex]
12x + 30= 6(2x+a) in the equation above, (a) is constant. For what value of (a) does the equation have an infinite number of solutions? Explain!
Answers
The value of a for which the equation has an infinite number of solutions is 5.
The solution to the equation: The result is a distribution of weights to the variables involved, establishing a balance in the calculation.
The equation given is written below:
Both sides of the equation must have the same value for an infinite number of solutions.
12x + 30 = 6(2x + a)
Simplifying the equation:
12x + 30 = 12x + 6a
Canceling 12x both sides. We get,
the value of a = 5
The value of a for which the equation has an infinite number of solutions is 5.
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The height (in feet) of a falling object with an initial velocity of 48 feet per second launched straight upward from the ground is given by
h(t) = -16t² +48t, where t is the time (in seconds).
What is the average rate of change of the height as a function of time from t = 1 to t = 3?
Answers
mui
Step-by-step explanation:
i need help with number 11
Answers
Answer:
Step-by-step explanation:
So the first thing that you'll have to recognize is that the interior angles of a triangle add to 180°
Next, note that the angle that is given as 5y -23 is also the same angle as the inside of the triangle, as well as the angle it's written on.
recognizing both of these let's you write this.
180 = 2x+13 + 47 + 5y - 23
this doesn't help us too much because there are two unknowns and only one equation. we would need two equations to solve this :(
but.....
now note, that the angle 3x and 5y - 23 are also equal. Assuming that the lines are parallel that look parallel. I think for this problem we can assume that they are.
now revise the problem
180 = 2x+13 +47 +3x
now use your algebra skillz
180 = 5x 60
180-60 = 5x
120 = 5x
120/5 = 5x/5
24 = x
now plug x into the earlier equation
180 = 2x+13 + 47 + 5y - 23
180 = 2(24) + 13 + 47 +5y - 23
180 = 48 + 13 + 47 +5y -23
180 = 109 - 23 + 5y
180 = 85 + 5y
180 - 85 = 5y
95 = 5y
19 = y
Find the value of 36.8 / 2.3. Show your reasoning
Answers
The value of 36.8/2.3 is 16
How do you divide expressions?
Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as the multiplication of the first statement by the reciprocal of the second.
What are equivalent expressions?
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Here,
we have to simplify the given division expression
So we start by solving the expression. i.e. divide 36.8 by 2.3
This means that when 36.8 divided by 2.3 is 16
Hence, the value of 36.8/2.3 is 16.
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Given: 8x-3y = -21,3x+y=-10: Prove: ×=
-3
what reasons is it
Answers
The required value of x for the given equation of line is 3.
Explain equation of line?The equation of straight line is defined as the y = mx +c or ax + by = c, where y is point on y-axis and x is the point n x-axis, m is slope of the line.
According to given data in the question:
we have,
8x-3y=21-----(1)
And 3x+y=10
multiply 3 both sides
9x+3y=30------(2)
To find the value of x,
Add equation 1 and 2, we get
x = 3
Thus required value of x is 3.
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I need help!!
All I need is if it is positive or negative, the table and equation
Answers
Answer:
negative
Step-by-step explanation:
Answer:
The graph/slope is negative. The slope intercept form is : y=-2x+5
Step-by-step explanation:
Table is
x y
0 5
2 3
4 1
I will give Brainlest!
Answers
Answer:
15 miles per hour
Step-by-step explanation:
unit rate is when you how much it is for 1 like 3 dollars for 1 pound or 15 miles per hour
Hopes this helps please mark brainliest
Answer:
15 miles per hour
Step-by-step explanation:
Let's remember what exactly unit rate is:
Unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate. Or, it takes one second to run the 7 yards.
For this question, I first notice that we have 2 answers that pertain to the same thing:
15 miles per hour and 30 miles in two hours
We have 1 cake / 3 hours, but the 1 is not in the denominator so it is not a unit rate.
And we have $5.50 per 1.5 pounds. Again, the one is not in the denominator so it is not a unit rate.
Going back to the other two (15 miles per hour and 30 miles in two hours)
We can write these in fraction form
[tex]\frac{15 miles}{1hour}[/tex] and [tex]\frac{30miles}{2hours}[/tex]
The 15 miles per hour has the one in it's denominator, so it is the unit rate.
Find all the unknown angle measures in the diagram
Answers
The angle measures are as shown below:
∠1 is 90°
∠2 = 60°
∠3 = 30°
∠4 = 20°
∠5 = 90°
What are transversal lines ?
In geometry, a transversal is any line that intersects two straight lines at distinct points
∠1 is 90° because it is a right angle
To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;
x + 90 + 30 = 180
x + 120 = 180
-120 -120
x = 60, ∠2 = 60°
Angle 5 is vertical to angle 1 which equals 90 degrees, and vertical angles are congruent meaning that they measure the same degrees so therefore ∠5 = 90°
Angles 4 and 40° are vertical to angle 2 which measures 60 degrees;
40 + x(where x equals angle 4) = 60
-40 -40
x = 20, ∠4 = 20°
Specified earlier, angles 40° and 4 are equal to 60°, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.
So we set up the equation;
40 + 20(angle four) + x = 90
60 + x = 90
-60 -60
x = 30, ∠3 = 30°
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