Put y = 2x - 7 into a graphing website and it'll show you (0, -7), (1, -5).
Bartholomew is making a scale model of a cruise ship based on a scale of 1 cm = 9 yd. If the model of the ship is 27 cm long, what is the length of the actual cruise ship?
A.
243 yd
B.
270 yd
C.
36 yd
D.
18 yd
Answer:
A
Step-by-step explanation:
9*27=243. If 1cm=9yd, then 27 cm would have to be multiplied by 9 too.
a figure is dilated by a factor of six
If a figure is dilated by a factor of 6, the perimeter of the figure will change by a factor of 6.
Step-by-step explanation:
The objects that have the same shape are known as similar figures. Since they are similar in shape it doesn't necessary for those objects to have the same size.
Dilation is the process that enlarges or shrinks the size of an object to its similar figure without changing its size. The Dilation is based on a factor that makes the object to enlarge or shrink.
Since its size has changed so as the perimeter will be changed for both of the figures. The perimeter of an object remains same as the scale factor used to dilate the object.
Consider a square with its side as 2 cm initially and dilated with factor 3.
Perimeter of the square = 4 a. where a is the side.
Then the perimeter of the square will be 8 cm initially.
After dilation the side of the square will be changed as 6.
Then the perimeter will change as 24 cm.
Thus the perimeter of the square initially has increased 3 times after dilation.
Sum of two numbers 120 and difference is 60. Find two
numbers.
Answer: 30&90
Step-by-step explanation:
The perimeter of a triangle is 23 cm. All the side lengths are integers. If one side measures 5 cm, what is the length of the largest possible side? (A) 9 cm (B) 11 cm (C) 12 cm (D) 15 cm
A=9
B=11
C=12
D=15
THE LENGTH OF THE LARGEST POSSIBLE SIDE IS
or,9+11+12+15
or,47 answer
*PLEASE HELP* *IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*
A plane left Chicago at 8:00 A.M. At 1:00 P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip? (include units)
Find slope:
Then find the average speed of the plane for the trip
Answer:
300 miles/hour
Step-by-step explanation:
The average speed = 1500 / 5
Take 2points
(8,0)(13,1500)Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{1500-0}{13-8}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{1500}{5}[/tex]
[tex]\\ \rm\hookrightarrow m=300[/tex]
Avg speed=Rate of change=300mphhelpppppppppppppppppppppppppp
Answer:
6, 12, 24, 48, 96.
All the terms are multiples of 6.
Step-by-step explanation:
The given rule is to multiply by 2.
To find the next 4 numbers, we need to multiply 6, and the products that we've obtained after.
First number:
[tex]6 \times 2 = 12[/tex]
12 is our first number.
Second Number:
[tex]12 \times 2 = 24[/tex]
24 is our second number.
Third Number:
[tex]24 \times 2 = 48[/tex]
48 is our third number.
Last Number:
[tex]48 \times 2 = 96[/tex]
96 is our last number.
All the terms are multiples of 6.
Proof:
*When you divide 12 by 6, 24 by 4, 48 by 8, 96 by 16, the quotient is 6.6 has multiples of 12, 24, 48, and 96.6 has multiples of 12, 24, 48, and 96.12, 24, 48, and 96 have a factor of 6.find a dimension of a rectangle whose width is 2 miles less than its length, and whose area is 80 square miles?
Answer:
Step-by-step explanation:
For this type of question, it helps to draw the rectangle and label its sides. Label the length x. We are given that the width is 5 miles less than the length, which can be represented algebraically as x-5. So, if y = width, then we have y = x-5.
We are also given that the area is 84 square miles, so how do we find the area of a rectangle? The formula is Area = length * width. Substituting in what we know, we get 84 = x(x-5). We distribute on the right hand side to get 84 = x^2-5x, which is equivalent to x^2-5x-84=0. This can be factored as (x-12)(x+7)=84. The solutions are x=12 or x=-7, but we ignore x=-7 because we cannot have negative length. Thus, the length of the rectangle is 12 miles and the width is 12-5=7 miles.
Solve the following systems of equations by substitution method.
1) y = -2 and 4x - 3y = 18
IF YOU WANT TO ANSWER MORE: HERE IS THE REST PART OF THE QUESTION—
2) y = 6x - 11 and 2x + 3y = 7
3) x = -3y - 5 and 4x - 5y = -3
4) x = 5y - 7 and -2x - 3y = -12
5) 5x - 3y - 8 = 0 and 2x - 3y - 6 = 0
6) x - 3y - 11 = 0 and 5x + y - 7 = 0
7) 2x - 3y = -1 and y = x - 1
8) -4x + y = 6 and -5x - y = 21
Answer:
1) x = 3 and y = -2
2) x = 2 and y = 1
3) x = -2 and y = -1
4) x = 3 and y = 2
5) x = 2
6) x = 2 and y = -3
7) x = 4 and y = 3
8) x = -3 and y = -6
Step-by-step explanation:
1. Answer :
y = -2
4x - 3y = 18 ----(1)
Substitute y = -2 in (1).
4x - 3(-2) = 18
4x + 6 = 18
Subtract 6 from both sides.
4x = 12
Divide both sides by 4.
x = 3
So,
x = 3 and y = -2
2. Answer :
y = 6x - 11 ----(1)
2x + 3y = 7 ----(2)
Substitute y = 6x - 11 in (2).
2x + 3(6x - 11) = 7
2x + 18x - 33 = 7
20x - 33 = 7
Add 33 to both sides.
20x = 40
Divide both sides by 20.
x = 2
Substitute x = 2 in (1).
y = 6(2) - 11
= 12 - 11
= 1
So,
x = 2 and y = 1
3. Answer :
x = -3y - 5 ----(1)
4x - 5y = -3 ----(2)
Substitute x = -3y + 5 in (2).
4(-3y - 5) - 5y = -3
-12y - 20 - 5y = -3
-17y - 20 = -3
Add 20 to both sides.
17y = -17
Divide both sides by 17.
y = -1
Substitute y = -1 in (1).
x = -3(-1) - 5
= 3 - 5
= -2
So,
x = -2 and y = -1
4. Answer :
x = 5y - 7 ----(1)
-2x - 3y = -12 ----(2)
Substitute x = 5y - 7 in (2).
-2(5y - 7) - 3y = -12
-10y + 14 - 3y = -12
-13y + 14 = -12
Subtract 14 from both sides.
-13y = -26
Divide both sides by -13.
y = 2
Substitute y = 2 in (1).
x = 5(2) - 7
= 10 - 7
= 3
So,
x = 3 and y = 2
5. Answer :
5x + 3y - 8 = 0 ----(1)
2x - 3y - 6 = 0 ----(2)
Solve for 3y in (1).
5x + 3y - 8 = 0
Subtract 5x from both sides.
3y - 8 = -5x
Add 8 to both sides.
3y = -5x + 8
Substitute 3y = -5x + 8 in (2).
2x - (-5x + 8) - 6 = 0
2x + 5x - 8 - 6 = 0
7x - 14 = 0
Add 14 to both sides.
7x = 14
Divide both sides by 7.
x = 2
6. Answer :
x - 3y - 11 = 0 ----(1)
5x + y - 7 = 0 ----(2)
Solve for x in (1).
x - 3y - 11 = 0
Subtract 3y and 11 to both sides.
x = 3y + 11 ----(3)
Substitute x = 3y + 11 in (2).
5(3y + 11) + y - 7 = 0
15y + 55 + y - 7 = 0
16y + 48 = 0
Subtract 48 from both sides.
16y = -48
Divide both sides by 16.
y = -3
Substitute y = -3 in (3).
x = 3(-3) + 11
= -9 + 11
= 2
So,
x = 2 and y = -3
7. Answer :
2x - 3y = -1 ----(1)
y = x - 1 ----(2)
Substitute y = x - 1 in (1).
2x - 3(x - 1) = -1
2x - 3x + 3 = -1
-x + 3 = -1
Subtract 3 from both sides.
-x = -4
Multiply both sides by -1.
x = 4
Substitute x = x in (3).
y = 4 - 1
= 3
So,
x = 4 and y = 3
8. Answer :
-4x + y = 6 ----(1)
-5x - y = 21 ----(2)
Solve for y in (1).
-4x + y = 6
Add 4x to both sides.
y = 4x + 6 ----(3)
Substitute y = 4x + 6 in (2).
-5x - (4x + 6) = 21
-5x - 4x - 6 = 21
-9x - 6 = 21
Add 6 to both sides.
-9x = 27
Divide both sides by -9.
x = -3
Substitute x = -3 in (3).
y = 4(-3) + 6
= -12 + 6
= -6
So,
x = -3 and y = -6
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Thank You!
Answered by: ms115
Answer:
See below for all answers and explanations
Step-by-step explanation:
Problem 1
4x - 3y = 18
4x - 3(-2) = 18 <-- Substituting y = -2
4x + 6 = 18
4x = 12
x = 3
Problem 2
2x + 3y = 7
2x + 3(6x-11) = 7 <-- Substituting y = 6x - 11
2x + 18x - 33 = 7
20x - 33 = 7
20x = 40
x = 2
y = 6x - 11 <-- Substituting x=2 to solve for y
y = 6(2) - 11
y = 12 - 11
y = 1
Problem 3
4x - 5y = -3
4(-3y-5) - 5y = -3 <-- Substituting x = -3y - 5
-12y - 20 - 5y = -3
-17y - 20 = -3
-17y = 17
y = -1
x = -3y - 5 <-- Substituting y = -1 to solve for x
x = -3(-1) - 5
x = 3 - 5
x = -2
Problem 4
-2x - 3y = -12
-2(5y-7) - 3y = -12 <-- Substituting x = 5y - 7
-10y + 14 - 3y = -12
-13y + 14 = -12
-13y = -26
y = 2
x = 5y - 7 <-- Substituting y=2 to solve for x
x = 5(2) - 7
x = 10 - 7
x = 3
Problem 5
5x - 3y - 8 = 2x - 3y - 6 <-- Setting equations equal to each other
5x - 8 = 2x - 6 <-- Eliminating y-variable to solve for x
3x - 8 = -6
3x = 2
x = 2/3
5x - 3y - 8 = 0 <-- Substituting x = 2/3 into first equation
5(2/3) - 3y - 8 = 0
10/3 - 3y - 8 = 0
10/3 - 3y - 24/3 = 0
-14/3 - 3y = 0
-3y = 14/3
y = -14/9
Problem 6
x - 3y - 11 = 0 <-- Solve for x
x - 3y = 11
x = 11 + 3y
5x + y - 7 = 0
5(11+3y) + y - 7 = 0 <-- Substituting x = 11 + 3y
55 + 15y + y - 7 = 0
55 + 16y - 7 = 0
48 + 16y = 0
16y = -48
y = -3
x = 11 + 3y <-- Substitute y=-3 into first equation to solve for x
x = 11 + 3(-3)
x = 11 - 9
x = 2
Problem 7
2x - 3y = - 1
2x - 3(x-1) = -1 <-- Substituting y = x - 1
2x - 3x + 3 = -1
-x + 3 = -1
-x = -4
x = 4
y = x - 1 <-- Substitute x=4 to solve for y
y = 4 - 1
y = 3
Problem 8
-4x + y = 6 <-- Solve for y in first equation
y = 6 + 4x
-5x - y = 21
-5x - (6+4x) = 21 <-- Substituting y = 6 + 4x
-5x - 6 - 4x = 21
-9x - 6 = 21
-9x = 27
x = -3
y = 6 + 4x <-- Substitute x = -3 to solve for y
y = 6 + 4(-3)
y = 6 - 12
y = -6
write as a polynomial. a(a+9b)^2
solve this system
y = 6x
4x + y = 7
Answer:
x = 0.7
y = 4.2
Coordinate form : (0.7, 4.2)
Step-by-step explanation:
Solve:
Plug in in 6x for y in 4x + y = 7
4x + y = 74x + 6x = 710x = 7x = 0.7Plug in 0.7 for x in y = 6x
y = 6xy = 6(0.7)y = 4.2x = 0.7
y = 4.2
Coordinate form : (0.7, 4.2)
-Chetan K
Answer:
x = 7/10 (fraction)
Step-by-step explanation:
Given that y = 6x, we can substitute it for y
That makes your equation:
4x + 6x = 7
Now, all we need to do is solve for x:
Step 1: Add similar elements:
4x+6x=10x, which gives you 10x=7
Divide next:
10x/10=7/10 (10/10 = 0 and 7/10 = 7/10)
x= 7/10
The value of the _____ is used to estimate the value of the population parameter. a. population statistic b. sample statistic c. population estimate d. sample parameter
The blank space in the sentence given; The value of the _____ is used to estimate the value of the population parameter. should be filled with Choice B: Sample statistic.
Sample statistics and Population parameterIn scenarios where statistical data regarding a large population of data is required, It be ones necessary to obtain samples in which case, the data obtained from these samples are used for the estimation of the parameters of the large population of data.
Read more on sample statistics;
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The model below is composed of a rectangle and a semicircle find the area of the figure 16 and 18
Answer:
11. AREA=AREA 9F RECTANGLE +AREA OF SEMICIRCLE
AREA=LW+0.5pie×r²
r=18in/2=8in
Area=18in×36in+0.5×3.14×(9in)²
Area=648in²+127.17in²
Area=775.17in²
area=775.2in²
12. Area of the shaded region=Area of rectangle-area of semicircle
r=5in/2=2.5in
=LW-0.5pie×r²
=6in×5in-0.5×3.14×(2.5in²)
=30in²-9.8124in²
=20.2in²
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What is the length of the longer leg of the right triangle shown below?
Type your answer as an integer.
A right triangle has hypotenuse of length 13 and a side with length 5.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{13^2-5^2}=b\implies \sqrt{144}=b\implies 12=b[/tex]
One number is six more than the other. Their sum is 42. Find the numbers.
Answer:
18 and 24.
Step-by-step explanation:
x + (x + 6) = 42
x + x + 6 - 6 = 42 - 6
x + x = 36
2x = 36
2x/2 = 36/2
x = 18
42 - 18 = 24 The numbers are 18 and 24.
The required two numbers are 18 and 24 and number is 6 more than the the smaller number.
Given, that one number is 6 more than other.
Let the number be x.
Let the other number be x + 6 .
Rewriting in form of equation, that sum of two numbers is 42.
x + (x + 6) = 42
Subtract 6 from both sides.
x + x + 6 - 6 = 42 - 6
Combine like terms,
x + x = 36
2x = 36
Divide by 2 on both sides,
2x/2 = 36/2
x = 18
Thus one number is 18.
The other number is 6 more than 18,
18 + 6 = 24
Thus the two numbers are 18 and 24.
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PLEASE I NEED HELP PLEASE
Answer:
none
Step-by-step explanation:
there's only ten cubes
Thank u work answer and I need it step by step
Answer:
-45k+90
Step-by-step explanation:
Re-order terms so constants are on the left
(5k-10) · -9
-9(5k-10)
Distribute
-9(5k-10)
[-9 · 5k = -45k] Negative + Positive = Negative
[-9 · -10 = 90] Negative + Negative = Positive
-45k+90
Hence, -45k+90 is the Answer.
[RevyBreeze]
Pa help po sana plsss
Answer:
Check the attachment.
Benjamin threw a rock straight up from a cliff that was 60 ft above the water. If the height of the rock h, in feet, after t seconds is given by the equation h=-16t^2+68t+60, how long will it take for the rock to hit the water?
Answer:
5 sec
Step-by-step explanation:
Hit the water, means h = 0
Solve -16t^2 + 68t +60 =0
4t^2 - 17t - 15 = 0
(4t + 3)(t - 5) = 0
so t = 5 sec
Pythagorean Theorem Study Guide answers
Answer:
the theorem states that the length of the hypotenuse when squared is equal to the addition of the adjacent and opposite when squared
HELP SOS I NEED HELP
Answer:
Just do 8x9x11 which is 792
Step-by-step explanation:
8 cm of the prism
your welcome
can I have help pls
option b would be the correct one
I had 2000 dollars but a frog take 1000? how much do i have
Answer:
1000 dollars
Step-by-step explanation:
2000-1000 = 1000
Destiny just received two separate gifts from her great-great-grand mother The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies. Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins. What is the greatest number of snack bags that Destiny can make?
Answer:
5 hope this helps
Step-by-step explanation:
Ms Bonilla is saving for a vacation she currently has 150 in her savings account and plans to add $25 to the account each week .
Enter a function, S(w) that describes the total amount in her savings account as a function of weeks , w
Answer and Step-by-step explanation:
Alright, so when creating any type of math problem, it is important to identify the parts of the problem and where they go. First, we need to start by putting the problem together. We will use one of the most common forms of equations of math, also known as the linear equation of y=mx+b.
So we have: S(w)=__x + __. S(w) is also equal to f(x), which is also equal to y. So: y= __x + __.
Let's start filling this equation in. So, because it says that she will add 25 dollars each week, The problem is addition. Also, the 25 dollars each week will represent the mx in this situation. Here's why:
The x in this can stand for the amount of week she added this 25 dollars to her account. So:
y= 25x + __.
Now, we can add the 150 to the problem because that is what she started with for this one-time deal. So now we have:
y= 25x + 150.
You can now where everything is represented, but we are not done. Let's change y and x back into S(w) and w like the question asks us to have. So:
S(w)= 25w + 150.
If you want to solve this question, just replace the number of weeks in place of all w's in the equation, like this: S(2)= 25(2) + 150.
I hope that this helps.
3x9+7 use pemdas right answers only
Answer:
[tex]\huge\boxed{\sf 34}[/tex]
Step-by-step explanation:
P = Parenthesis
E = Exponents
D = Division
M = Multiplication
A = Addition
S = Subtraction
In that order:
= 3 × 9 + 7
Multiplying first
= 27 + 7
Adding after
= 34
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
34
Step-by-step explanation:
3 x 9 + 7
Using PEMDAS M is first and M is multiplication so you multiply first.
27 + 7
You then add because that’s what is left.
34
Your answer is : 34
Hope it helps! Stay safe!
NEED HELP ASAP
Write an explicit formula for an, the nth term of the sequence 22, 20, 18,....
Answer:
I thino the awnser is 103.5
Step-by-step explanation:
Answer:
16,12,10,8
Step-by-step explanation:
a+(n-1)d
20-22=18-2=-2
Based on the Diagram below
Answer:
BD=ALTITUDES
CD=MEDIANS
AD=ANGLE BISECTORS
Solve using the standard algorithm check your coordinates and remainder by using multiplication and addition 99 divided 8
Answer:
12 with a remainder of 3
Step-by-step explanation:
hope this helps
A school cafeteria surveys the students to see if there is demand for more
gluten-free meal choices. The results are in the table.
Total
Eat gluten-free Not Interested in
food gluten-free food
Buy lunch
20
50
70
Pack lunch
SO
20
70
Total
20
20
740
The school decides to offer more gluten free options. Which of these reasons
is supported by the survey data?
O A. Of the students who buy lunch, the yobability a student is
interested in gluten free food is greater than the probability a
student isnt interested in gluten free food
OB of the students who pack lunch the probability a student is
Interested in gluten-free food is greater than the probability a
student is interested in gluten free food
O c The probability that a student is interested in gluten free food is
greater than the probability that he or she is not interested in
gluten free food
The probability that a student buys lunch is greater than the
probability that he or she packs lunch
Answer:
B. Of the students who pack lunch, the probability a student is interested in gluten free food is greater than the possibility a student isn’t
Step-by-step explanation:
Identify the system of equations that is not satisfied by the given ordered pair.
(5, 3) or m = 5, n = 3
2m = 19 − 3n
m − n = 2
6m − 21n = −33
8m = −23 + 21n
4m − 3n = 11
2m + 5 = 5n
9m + 4n = 5
3m = 9 + 6n
Step-by-step explanation:
2+5=7 = 19-3+3=13
5-3=2
6+5=11-21+3= -33
8+5= 13= 1
4+5= 9
The system of equations that does not satisfy the ordered pair is
6m -21n = -33
9m + 4n = 5
3m = 9 + 6n
What is an 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.
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 data ,
Let the ordered pair ( m , n ) = ( 5 , 3 )
The value of m = 5
The value of n = 3
Now , the equation will be
a)
The equation is
2m = 19 - 3n
Substituting the values , we get
2 x 5 = 19 - 3 x 3
10 = 19 - 9
10 = 10
The equation satisfies for the ordered pair
b)
The equation is
m - n = 2
Substituting the values , we get
5 - 3 = 2
2 = 2
The equation satisfies for the ordered pair
c)
The equation is
6m -21n = -33
Substituting the values , we get
6 x 5 - 12 x 3 = -33
30 - 36 = -33
-3 = -33
The equation does not satisfy the ordered pair
d)
The equation is
8m = −23 + 21n
Substituting the values , we get
8 x 5 = -23 + 21 x 3
40 = -23 + 63
40 = 40
The equation satisfies for the ordered pair
e)
The equation is
4m − 3n = 11
Substituting the values , we get
4 x 5 - 3 x 3 = 11
20 - 9 = 11
11 = 11
The equation satisfies for the ordered pair
f)
The equation is
2m + 5 = 5n
Substituting the values , we get
2 x 5 + 5 = 5 x 3
10 + 5 = 15
15 = 15
The equation satisfies for the ordered pair
g)
The equation is
9m + 4n = 5
Substituting the values , we get
9 x 5 + 4 x 3 = 5
45 + 12 = 5
57 = 5
The equation does not satisfy the ordered pair
h)
The equation is
3m = 9 + 6n
Substituting the values , we get
3 x 5 = 9 + 6 x 3
15 = 9 + 18
15 = 27
The equation does not satisfy the ordered pair
Hence , the equations 6m -21n = -33 , 9m + 4n = 5 and 3m = 9 + 6n does not satisfy the given ordered pair ( m , n ) = ( 5 , 3 )
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