Answer:
12, 17
Step-by-step explanation:
Let the two positive integers be x and (5 + x).
According to the given description:
[tex] {x}^{2} + {(x + 5)}^{2} = 433 \\ {x}^{2} + {x}^{2} + 10x + 25 = 433 \\ \\ 2 {x}^{2} + 10x + 25 - 433 = 0 \\ \\ 2 {x}^{2} + 10x - 408 = 0 \\ \\ 2( {x}^{2} + 5x - 204) = 0 \\ \\ {x}^{2} + 5x - 204 = 0 \\ \\ {x}^{2} + 17x - 12x - 204 = 0 \\ \\ x(x + 17) - 12(x + 17) = 0 \\ \\ (x + 17)(x - 12) = 0 \\ \\ x + 17 = 0 \: or \: x - 12 = 0 \\ \\ x = - 17 \: or \: x = 12 \\ \\ \because \: x \: is \: a \: + ve \: integer \\ \\ \implies x \neq - 17 \\ \\ \therefore \: x = 12 \\ \\ 5 + x = 5 + 12 = 17 \\ [/tex]
Thus, the two positive integers are 12 and 17.
Answer:
12 and 17
Step-by-step explanation:
17 - 12 = 5, and 17^2 (289) + 12^2 (144) = 433
Hope this helps :D
Answer with either A, B, C, D, E and if the answer is correct I will give u brainliest
The Mattress Depot paid $400 for a bed wholesale, then marked up the price to sell in the store. The retail price is 450% of the wholesale price. At the end of the season, the store will discount the retail price. Which statements are true? Select all that apply.
a. The retail price of the bed in stores is $1800.
b. If the store discounts the retail price of the bed by 30%, the discounted price is $540.
c. If the store discounts the retail price of the bed by 50%, it will make a profit of 125%.
d. The retail price of the bed is $1400 more than the wholesale price.
e. If the store discounts the retail price of the bed by 20%, it will not make a profit.
Answer:
400*4.5=1600+200=1800
1800-400=1400
d. The retail price of the bed is 1400 more that the wholesale price.
Which points are a solution to the equation y = 5x - 4?
Select ALL correct answers.
A. (0,-4)
B. (1,-1)
C. (2,6)
D. (3, 11)
E. (4, 6)
Answer:
The answer are
(0,_4)
(2,6)
(3,11)
5+2(2x-3)+8x = -5x +2
5 -2(2x-3)+8x = -5x +2
show how you did it
Answer:
answer to top question: x = 3/17
answer to bottom question: x = -1
Step-by-step explanation:
distribute first
5 + 4x - 6 + 8x = -5x + 2
combine like terms
-1 + 12x = -5x + 2
12x = -5x + 3
17x = 3
x = 3/17
5 - 4x + 6 + 8x = -5x + 2
4x + 11 = -5x + 2
9x + 11 = 2
9x = -9
x = -1
Can someone help I have to hand this in
help, due tonight, asap, will give brainliest
Answer:
has one solution which is 2
Step-by-step explanation:
x/3=12; Is 4 a possible value for x?
Answer:
No.
Step-by-step explanation:
4 x 3 is 12. 4 divided by 3 cannot be 12.
Hope it helps!
Answer:
No
Step-by-step explanation:
Not possible
32x76x4x-9÷42=?
1=3
2=3
4=4
5=4
6=?
Answer:
32x76x4x-9÷42= 9727
6= 5
I'm not sure...
Answer:
-2084 4/7
Step-by-step explanation:
32×76=2432×4=9728×-9=-87552÷42=2084 4/7
Monday, February 8
Jeff and Marcia own a llama farm.
On their farm, they have 240 llamas. Each llama they sell earns them a $325.00 profit.
If they were to sell 3/5 of their llamas, how much total profit would they make?
(Show your Work.)
A. $31,200.00
B. $46,800.00
C. $62,400.00
D. $78,000.00
Please, I need help with this
Addison and Bert are in the same reading group at school. The book they're reading right now is 256 pages long. Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book. Bert has read 142 pages, and he plans to read 11 pages every day. How many days will it be until Addison and Bert have each read the same number of pages in total? How many pages will they each have read?
Answer: The answer in this photo thanks for a little quiz
The number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
What is an equation?In mathematics, an equation is a statement of equality between two expressions, indicated by the equals sign (=). Solutions to equations are the values for unknowns which, when substituted into the expression, make it true.
Given that, the book they're reading right now is 256 pages long.
Let the number of days be x.
Addison has read 102 pages so far and decides to read 16 pages every day until she finishes the book.
102+16x -------(i)
Bert has read 142 pages, and he plans to read 11 pages every day.
142+11x -------(ii)
Addison and Bert have each read the same number of pages in total.
So, (i)=(ii)
102+16x=142+11x
16x-11x=142-102
5x=40
x=8
Hence, the number of day it will be until Addison and Bert each have read the same number of pages in total is 8 days.
To learn more about an equation visit:
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Is –5 × –5 positive or negative?
Answer:
positive
Step-by-step explanation:
a negative times a negative is always a positive
I need to get write the following expression in simplest form:5n8n+5−5n.
Answer:
5([tex]n^{9}[/tex]-n+1)
Step-by-step explanation:
Help me plzz and It's continue of math
Homework: Compound Probability (Without Replacement)
3.) A box of chocolates contains four milk chocolates and six dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. The first piece is milk chocolate and the second piece is dark chocolate.
4/15, 5/18, 5/22, 3/110
4.) There are four nickels, five dimes, and five quarters in your pocket. You randomly pick three coins and place them on a counter. The first two coins are dimes, and the third is a quarter.
1/4, 10/39, 25/546, 25/572
Answer: I only answered number 3
Step-by-step explanation: Jenni has a box of chocolates. The box contains 6 plain, 4 milk and 5 white chocolates.?
Jenni takes 2 chocolates at random from the box. Work out the probability that at least 1 of these chocolates will be milk chocolate.
3^3x-4=9^x PLS HELPPP
Step-by-step explanation:
[tex] {3}^{3x - 4} = {9}^{x} \\ {3}^{3x - 4} = {3}^{2x} [/tex]
3x - 4 = 2x
3x - 2x = 4
x = 4
Use distribute property and simplify
Help me please
Answer:
104
155
180
Step-by-step explanation:
an easy way is to solve what is in the parenthesis then multiply by the outside number
but if you need to use the distributive property:
1. 4 x (20 - -6)
(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104
2. -5 x (24 - -7)
(-5 x 24) - (-5 x -7) = -120 - 35 = 155
3. 12 x (-30 + 45)
(12 x -30) + (12 x 45) = -360 + 540 = 180
Step-by-step explanation:
must calculate the number in ( ) first before calculate the number in [ ]
- - > +
+ + > +
+ - > -
- + > -
SOMEONE PLEASE DO THIS IM IN MATH CLASS AND I DONT WANT TO GET CALLED ON BC I DONT KNOW THE ANSWER
for A multiply each time(hour) by 65 and when the number of hours doesnt have a number by it divide the pages by 65.
Step-by-step explanation:
Example for the first one multiply 65 by 3 , and for the pages divide 585 by the number you got previously from the # of pages. And also the same for B
#12) Mara had 5 inches of ribbon. How long is this in centimeters?
Answer:
5 inches is 12.7 centimeters
Answer:
12.7
Step-by-step explanation:
I looked it up.
Here is the link:
Find the sum 1.56 + 0.083. Show your reasoning
Answer:
1.643
Step-by-step explanation:
1.56 + 0.083
1.56 = 1.560
Starting from the digits the closest to the right, we do
0.003 + 0.000 = 0.003
0.08 + 0.06 = 0.14
so right now we have 0.143
0.0 + 0.5 = 0.5
so now we have 0.643 (because 0.1 + 0.5 = 0.6)
and finally 1 + 0 = 1
so we end with 1.643
The sum of the expression 1.56 + 0.083 is,
⇒ 1.643
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The expression is,
⇒ 1.56 + 0.083
Now, We can simplify as;
⇒ 1.56 + 0.083
Add as;
⇒ 1.643
Thus, The sum of the expression 1.56 + 0.083 is,
⇒ 1.643
Learn more about the addition visit:
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i need help plssssssssssssss
How is solving for the length different from solving for the length of the hypotenuse?
NEED HELP NOW Angles not necessarily drawn to scale
Answer:
x= 56
Step-by-step explanation:
since angle DF is half a circle it has to = 180 so you subtract 64 from 180 then you subtract 60 from that
Find the length of side x in simplest radical form with a rational denominator
Answer:
2.45
Step-by-step explanation:
Change the picture
Answer:
[tex] x = \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \cos \: 45 \degree = \frac{ \sqrt{3} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \sqrt{3} }{x} \\ \\ x = \sqrt{2} \times \sqrt{3} \\ \\ x = \sqrt{6} [/tex]
HURRY PLEASE
Evaluate the expression when y=4.
-10 – 6y =
4. A garage is 40 feet long by 90 feet wide. If you were asked to make a scale drawing of the garage that has
a scale of 0.5 inch 10 feet, what would the dimensions be?
a. 9 in x 4 in
b, 45 in x 20 in
c. 4.5 in x 2 in
d. 4.55 in x 0.5 in
Answer:
if the scale is .5 inches for every 10 feet the answer is C.
Help me please this already late
Answer:
2(4x-2)+3x*2=8x-4+6x=14x-4=122
14x=126
x=9
Step-by-step explanation:
write points (-6,3) and (6, -7) in a) Identify the slope
b) Write the equation in slope-point form
c) Write the equation in slope-intercept form
d) Write the equation in the general form.
HELPPP PLEASE FAST, I REALLY NEED IT
How many 1/8
are in 25? What
multiplication equation can you use
to check your answer?
The number of 1/8s which are in 25 as required to be determined is; 200.
What is the number of 1/8s in 25?It follows from the task content that the number of 1/8s in 25 as required in the task content is to be determined.
It follows from arithmetic principles that the number of 1/8s in 25 can be determined by evaluating; 25 ÷ 1/8
= (25 × 8) / 1
= 200.
Therefore, the number of 1/8s in 25 is; 200.
Also, if the number of 1/8s in 25 is to be determined; the multiplication equation to check the answer is; 1/8 × 200 = 25....which holds true.
Read more on division of fractions;
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The polynomial x^2-18x+81 represents the area(in square feet) of a square courtyard. Write an expression for the perimeter of the courtyard.
Answer:
4x - 36 feet
Step-by-step explanation:
The area A of a square whose sides are s units is given as
A = s * s
Given that the area A = x^2-18x+81, factorizing
A = x^2-9x-9x+81
A= x(x-9)-9(x-9)
A = (x-9)(x-9)
A = (x-9)^2
This means that the size of each side of the square courtyard is x-9 feet long
Recall that the perimeter P of a square whose side is s long is given as
P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard
P = 4(x-9)
= 4x - 36 feet
Answer choices are
3/4.
2.
3.
4
Answer:
4
Step-by-step explanation:
You can determine the y-intercept by looking at the graph and see where the line intersects the y-axis at. Therefore, the y-intercept is 4
Answer:
I think maybe 3
Could someone help with this pls?
Answer:
61
Step-by-step explanation:
Because all triangles's angles sum is always equal to 180, we can establish the equation, (9x - 31) + (7x - 2) + (4x + 33) = 180.
Simplifying, we get;
9x - 31 + 7x - 2 + 4x + 33 = 180
20x = 180
x = 9.
So, angle DCE = 7x - 2 = 7 * 9 - 2 = 63 - 2 = 61
I need help quickly!!!
You solve a system of two linear equations by substitution. Your work results in a third equation, which leads you to conclude that the system has infinitely many solutions. Which of the following could be the third equation?
The options are:
5=0
-4=-4
2y=14
3x+10=16