Step-by-step explanation:
you made a lot of typos in the text.
I assume your meant the following :
the sum of two numbers is eight.
one number is four less than the other number.
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
If Y has exactly 2 positive integer factors then Y is a prime number. if so how?
Step-by-step explanation:
yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.
these are the 2 positive integer factors.
if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.
if the number can be divided without remainder by another number, then we are not dealing with a prime number.
but if your teacher did not have these default factors in mind, then no :
example : 15
15 has only 2 factors : 3 and 5.
both are positive integer numbers.
and yet 15 is not a prime number.
but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.
4x + y = 16
y = 0.5x -2
Answer:
x = 4, y = 0
Step-by-step explanation:
The perimeter of a rectangle is 20x -18 feet. If the width of the rectangle is 3x -1 feet, write an expression that can represent the length of the rectangle.
Answer:
l = 7x - 9
Step-by-step explanation:
The length of the rectangle is represented by the expression "7x - 9".
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 (length + width)
Therefore, we can set up the equation:
20x - 18 = 2 (length + (3x - 1))
Expanding the parentheses and combining like terms, we get:
20x - 18 = 2 × length + 6x - 2
Moving all the terms to one side, we get:
14x - 18 = 2 × length
Dividing both sides by 2, we get:
7x - 9 = length
Thus, the rectangle's length is expressed by the expression "7x - 9".
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A 480 page book is 2.4 cm thick(not counting the thickness of the covers.). Find the thickness of 380 pages of the book
Set up a proportion:
2.4/480 = x/380
Cross Multiply:
480x = 912
Divide both sides by 480:
x = 1.9
Answer: 1.9 cm thick
1. BC=DA
how do i find the reason
Answer:
sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.
Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
geomtry plz help 15 points
Answer:
m∠E=57°
Step-by-step explanation:
∠FDE=∠FED=(4x+1)° (base angles of isos triangle)
2(4x+1)+(5x-4)=180 (angle sum of triangle)
8x+2+5x-4=180
13x-2=180
13x=180+2
=182
x=182÷13
=14
Hence, m∠E = (4x+1)°
= [4(14)+1]°
= (56+1)°
= 57°
Answer:
m∠E=57º
Step-by-step explanation:
All angles in a triangle add up to 180º.
The triangle given is an isosceles triangle.
(4x+1)+(4x+1)+(5x-4)=180
Remove parentheses.
4x+1+4x+1+5x-4=180
Collect like terms.
13x+1+1-4=180
Add and subtract.
13x-2=180
Add 2 from both sides of the equation.
13x=182
Divide 13 from both sides of the equation.
x=14
m∠E=(4x+1)º
4x14+1=57º
m∠E=57º
Hope this helps :)
The product factor is 4,200.If one of the factor is 60 what is the other factor?Explain
Answer: The other factor is 70
Explanation: 4,200 divided by 60 is 70.
Work out the area of a rectangle with base, b = 5.3mm and height, h = 4mm.
Answer:
21.2 mm²
Step-by-step explanation:
Area of rectangle = base x height.
A(r) = b x h
Plug in the corresponding numbers to the corresponding variables:
A(r) = 5.3 x 4
A(r) = 21.2
21.2 mm² is your answer.
Write the equation of the line that passes through the point (-3, 6) and is parallel to the line
whose equation is y=1/2x+5?
Please help me
Answer:
[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]
Answer:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the x-axis).Parallel lines always have the same slope (m)1) Determine the slope (m)
[tex]y=\displaystyle\frac{1}{2} x+5[/tex]
From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:
[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
I hope this helps!
Evaluate the expression below if X equals three and Y equals negative 4X- Y -3+(-5y) A 16. B. -50. C. 24. D. 20
nooooooooooooooooooooooooooooo
Mrs Granger is writing problems for a test about subtracting fractions.Help her write two different subtraction problems that use only odd numbers for numerators and each have a difference of 3/4
1.
The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 1 - ¹/₄
The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is
1 - ¹/₄ = ¹/₁ - ¹/₄
taking the L.C.M which is 4, we have
= (4 - 1)/4
= 3/4
So, the first subtraction problem is 1 - ¹/₄
2.
The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 2¹/₂ - 1³/₄
The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is
2¹/₂ - 1³/₄ = ⁵/₂ - ⁷/₄
taking the L.C.M which is 4, we have
= (10 - 7)/4
= 3/4
So, the second subtraction problem is 2¹/₂ - 1³/₄
Learn more about subtraction of fractions here:
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What is -1.2 -29/20 =
Answer:
-2.65
Step-by-step explanation:
consider the line y= -4/7x+2
Answer:
y=(7/4)x + 12, y=(-4/7)x -46/7
Step-by-step explanation:
first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12
parallel:
since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7
!PLEASE ANSWER ASAP! THANK YOU!
Sarah’s school awarded 2000 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an Ipad mini. Sarah received 4 tickets for good attendance, 5 for making the honor roll, and 10 for tutoring other students.
What is the probability that one of Sarah’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)
Answer
400% Probability Of Sarah Getting Picked !
Step-by-step explanation:
So first 2000 x 19% = 380%
In 9 minutes, Teresa can type 72 words. What is her rate in words per minute?
Answer:
8 words per min
Step-by-step explanation:
what is The greatest common factor of 42 and 96? I need it to be broken down for me to understand. thanks
Answer:
GCF is 6
Step-by-step explanation:
42 :
2 | 42
3 | 21
7 | 7
| 1
; 42 = 2 x 3 x 7
96 :
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
; 96 = 2 x 2 x 2 x 2 x 2 x 3
here, common factors are 2 x 3 = 6
Hence, the GCF of 42 and 96 is 6.
45x7
what is 45x7
cause I dont know anymore
Answer:
315
Step-by-step explanation:
Is 18 is 25% of 72 true or false
Step by step evidence
Answer:
true
Step-by-step explanation:
25% of 72
25/100 * 72
= 1/4 * 72
= 18
what is 5 sixths of a full rotation
Answer:
300°
Step-by-step explanation:
what is 5/6 of a full rotation?
A full rotation is 360°
360 * 5/6 = 300°
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
OY =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?
Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8
The cost per ride represents the intercept = $8
The cost per mile represents the slope = $0.35
The slope - intercept form of a linear equation is expressed as :
y = bx + c b = slope ; c = interceptTherefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8
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If f(x) and f^-1(x) are inverse functions of each other and f(x)=2x+5, what is f^-1(4)?
Answer:
4.5
Step-by-step explanation:
We are here given that ,
=> f(x) = 2x - 5
=> y = 2x - 5
Replace x and y with each other .
=> x = 2y - 5
solve for y ,
=> 2y = x +5
=> y = (x+5)/2
=> f-¹(x) = (x+5)/2
Now ,
=> f-¹(4) = 4+5/2 = 9/2 = 4.5
X
y
m =
-6
-22
-2
-17
b =
2
-2
6
8
Equation:
10
18
What is the answer
Answer:
Step-by-step explanation:
your answers for 1. would be B. and E. and number 2 doesnt
have a table sorry
geometry:PLEASE HELP MEEEEEE
Answer:
5
Step-by-step explanation:
Normally the two diagonals of a kite meet at a right angle. That information should not be withheld from you. Otherwise, you are just guessing.
You must assume then that <STP also = 90o
14x + 20 = 90 Subtract 20 from both sides
14x = 90 - 20 Combine
14x = 70 Divide both sides by 14
14x/14 = 70/14
x = 5
What is the place value of 8 in 4.08?
20+ Points
Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.
Would appreciate brainly <3
Hello there!
The value of 8 is:
Hundredths
The second number after the decimal point is in the hundredths place.
Hope it helps!
Please mark brainliest!
~Just a determined gal
[tex]MysteriousNature[/tex] here to help
If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.
50%=100%/2
26*2 = 52
Original price is 52 dollas
Answer:
52
Step-by-step explanation:
please mark brainlest
9/x = 27/24 find the proportional relationship
Answer: The answer is 9/8 = 27/24
The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences
Step-by-step explanation:
2 = 0.5^x - 4 is the same as
6 = 0.5^x
x is the logarithm of 6 to the base of 0.5.
which is the same as
log(6)/log(0.5) = -2.584962501...
What is the prime factorization of 72?
A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2
Answer:
the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =
Step-by-step explanation:
Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes costs $4.50 and he played 5 games, what was the price per game?
Answer:
first off theres two ways of doing it the equation is more fun though
14.5 = x + 4.5
14.5 = x(5) -4.5
-4.5
10 = 5x
divide by 5
you get
2x or $2
other way was to just -4.5 and divide by 5 but thats no fun